%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PUZ073+1 : TPTP v9.0.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:23:22 AM UTC 2025
% Result : Theorem 0.46s 0.68s
% Output : Proof 1.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PUZ073+1 : TPTP v9.0.0. Released v3.5.0.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 02:47:56 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.46/0.68 % SZS status Theorem
% 0.46/0.68 % SZS output start Proof
% 0.46/0.68 tff(edge_type, type, (
% 0.46/0.68 edge: ( $i * $i ) > $o)).
% 0.46/0.68 tff(tptp_fun_X_1_type, type, (
% 0.46/0.68 tptp_fun_X_1: $i)).
% 0.46/0.68 tff(tptp_fun_Y_0_type, type, (
% 0.46/0.68 tptp_fun_Y_0: $i)).
% 0.46/0.68 tff(cell91_type, type, (
% 0.46/0.68 cell91: $i)).
% 0.46/0.68 tff(cell92_type, type, (
% 0.46/0.68 cell92: $i)).
% 0.46/0.68 tff(cell93_type, type, (
% 0.46/0.68 cell93: $i)).
% 0.46/0.68 tff(cell94_type, type, (
% 0.46/0.68 cell94: $i)).
% 0.46/0.68 tff(cell95_type, type, (
% 0.46/0.68 cell95: $i)).
% 0.46/0.68 tff(cell96_type, type, (
% 0.46/0.68 cell96: $i)).
% 0.46/0.68 tff(cell97_type, type, (
% 0.46/0.68 cell97: $i)).
% 0.46/0.68 tff(cell98_type, type, (
% 0.46/0.68 cell98: $i)).
% 0.46/0.68 tff(cell99_type, type, (
% 0.46/0.68 cell99: $i)).
% 0.46/0.68 tff(cell100_type, type, (
% 0.46/0.68 cell100: $i)).
% 0.46/0.68 tff(cell2_type, type, (
% 0.46/0.68 cell2: $i)).
% 0.46/0.68 tff(cell1_type, type, (
% 0.46/0.68 cell1: $i)).
% 0.46/0.68 tff(cell3_type, type, (
% 0.46/0.68 cell3: $i)).
% 0.46/0.68 tff(cell4_type, type, (
% 0.46/0.68 cell4: $i)).
% 0.46/0.68 tff(cell5_type, type, (
% 0.46/0.68 cell5: $i)).
% 0.46/0.68 tff(cell6_type, type, (
% 0.46/0.68 cell6: $i)).
% 0.46/0.68 tff(cell7_type, type, (
% 0.46/0.68 cell7: $i)).
% 0.46/0.68 tff(cell8_type, type, (
% 0.46/0.68 cell8: $i)).
% 0.46/0.68 tff(cell9_type, type, (
% 0.46/0.68 cell9: $i)).
% 0.46/0.68 tff(cell10_type, type, (
% 0.46/0.68 cell10: $i)).
% 0.46/0.68 tff(cell12_type, type, (
% 0.46/0.68 cell12: $i)).
% 0.46/0.68 tff(cell11_type, type, (
% 0.46/0.68 cell11: $i)).
% 0.46/0.68 tff(cell13_type, type, (
% 0.46/0.68 cell13: $i)).
% 0.46/0.68 tff(cell14_type, type, (
% 0.46/0.68 cell14: $i)).
% 0.46/0.68 tff(cell15_type, type, (
% 0.46/0.68 cell15: $i)).
% 0.46/0.68 tff(cell16_type, type, (
% 0.46/0.68 cell16: $i)).
% 0.46/0.68 tff(cell17_type, type, (
% 0.46/0.68 cell17: $i)).
% 0.46/0.68 tff(cell18_type, type, (
% 0.46/0.68 cell18: $i)).
% 0.46/0.68 tff(cell19_type, type, (
% 0.46/0.68 cell19: $i)).
% 0.46/0.68 tff(cell20_type, type, (
% 0.46/0.68 cell20: $i)).
% 0.46/0.68 tff(cell22_type, type, (
% 0.46/0.68 cell22: $i)).
% 0.46/0.68 tff(cell21_type, type, (
% 0.46/0.68 cell21: $i)).
% 0.46/0.68 tff(cell23_type, type, (
% 0.46/0.68 cell23: $i)).
% 0.46/0.68 tff(cell24_type, type, (
% 0.46/0.68 cell24: $i)).
% 0.46/0.68 tff(cell25_type, type, (
% 0.46/0.68 cell25: $i)).
% 0.46/0.68 tff(cell26_type, type, (
% 0.46/0.68 cell26: $i)).
% 0.46/0.68 tff(cell27_type, type, (
% 0.46/0.68 cell27: $i)).
% 0.46/0.68 tff(cell28_type, type, (
% 0.46/0.68 cell28: $i)).
% 0.46/0.68 tff(cell29_type, type, (
% 0.46/0.68 cell29: $i)).
% 0.46/0.68 tff(cell30_type, type, (
% 0.46/0.68 cell30: $i)).
% 0.46/0.68 tff(cell32_type, type, (
% 0.46/0.68 cell32: $i)).
% 0.46/0.68 tff(cell31_type, type, (
% 0.46/0.68 cell31: $i)).
% 0.46/0.68 tff(cell33_type, type, (
% 0.46/0.68 cell33: $i)).
% 0.46/0.68 tff(cell34_type, type, (
% 0.46/0.68 cell34: $i)).
% 0.46/0.68 tff(cell35_type, type, (
% 0.46/0.68 cell35: $i)).
% 0.46/0.68 tff(cell36_type, type, (
% 0.46/0.68 cell36: $i)).
% 0.46/0.68 tff(cell37_type, type, (
% 0.46/0.68 cell37: $i)).
% 0.46/0.68 tff(cell38_type, type, (
% 0.46/0.68 cell38: $i)).
% 0.46/0.68 tff(cell39_type, type, (
% 0.46/0.68 cell39: $i)).
% 0.46/0.68 tff(cell40_type, type, (
% 0.46/0.68 cell40: $i)).
% 0.46/0.68 tff(cell42_type, type, (
% 0.46/0.68 cell42: $i)).
% 0.46/0.68 tff(cell41_type, type, (
% 0.46/0.68 cell41: $i)).
% 0.46/0.68 tff(cell43_type, type, (
% 0.46/0.68 cell43: $i)).
% 0.46/0.68 tff(cell44_type, type, (
% 0.46/0.68 cell44: $i)).
% 0.46/0.68 tff(cell45_type, type, (
% 0.46/0.68 cell45: $i)).
% 0.46/0.68 tff(cell46_type, type, (
% 0.46/0.68 cell46: $i)).
% 0.46/0.68 tff(cell47_type, type, (
% 0.46/0.68 cell47: $i)).
% 0.46/0.68 tff(cell48_type, type, (
% 0.46/0.68 cell48: $i)).
% 0.46/0.68 tff(cell49_type, type, (
% 0.46/0.68 cell49: $i)).
% 0.46/0.68 tff(cell50_type, type, (
% 0.46/0.68 cell50: $i)).
% 0.46/0.68 tff(cell52_type, type, (
% 0.46/0.68 cell52: $i)).
% 0.46/0.68 tff(cell51_type, type, (
% 0.46/0.68 cell51: $i)).
% 0.46/0.68 tff(cell53_type, type, (
% 0.46/0.68 cell53: $i)).
% 0.46/0.68 tff(cell54_type, type, (
% 0.46/0.68 cell54: $i)).
% 0.46/0.68 tff(cell55_type, type, (
% 0.46/0.68 cell55: $i)).
% 0.46/0.68 tff(cell56_type, type, (
% 0.46/0.68 cell56: $i)).
% 0.46/0.68 tff(cell57_type, type, (
% 0.46/0.68 cell57: $i)).
% 0.46/0.68 tff(cell58_type, type, (
% 0.46/0.68 cell58: $i)).
% 0.46/0.68 tff(cell59_type, type, (
% 0.46/0.68 cell59: $i)).
% 0.46/0.68 tff(cell60_type, type, (
% 0.46/0.68 cell60: $i)).
% 0.46/0.68 tff(cell62_type, type, (
% 0.46/0.68 cell62: $i)).
% 0.46/0.68 tff(cell61_type, type, (
% 0.46/0.68 cell61: $i)).
% 0.46/0.68 tff(cell63_type, type, (
% 0.46/0.68 cell63: $i)).
% 0.46/0.68 tff(cell64_type, type, (
% 0.46/0.68 cell64: $i)).
% 0.46/0.68 tff(cell65_type, type, (
% 0.46/0.68 cell65: $i)).
% 0.46/0.68 tff(cell66_type, type, (
% 0.46/0.68 cell66: $i)).
% 0.46/0.68 tff(cell67_type, type, (
% 0.46/0.68 cell67: $i)).
% 0.46/0.68 tff(cell68_type, type, (
% 0.46/0.68 cell68: $i)).
% 0.46/0.68 tff(cell69_type, type, (
% 0.46/0.68 cell69: $i)).
% 0.46/0.68 tff(cell70_type, type, (
% 0.46/0.68 cell70: $i)).
% 0.46/0.68 tff(cell72_type, type, (
% 0.46/0.68 cell72: $i)).
% 0.46/0.68 tff(cell71_type, type, (
% 0.46/0.68 cell71: $i)).
% 0.46/0.68 tff(cell73_type, type, (
% 0.46/0.68 cell73: $i)).
% 0.46/0.68 tff(cell74_type, type, (
% 0.46/0.68 cell74: $i)).
% 0.46/0.68 tff(cell75_type, type, (
% 0.46/0.68 cell75: $i)).
% 0.46/0.68 tff(cell76_type, type, (
% 0.46/0.68 cell76: $i)).
% 0.46/0.68 tff(cell77_type, type, (
% 0.46/0.68 cell77: $i)).
% 0.46/0.68 tff(cell78_type, type, (
% 0.46/0.68 cell78: $i)).
% 0.46/0.68 tff(cell79_type, type, (
% 0.46/0.68 cell79: $i)).
% 0.46/0.68 tff(cell80_type, type, (
% 0.46/0.68 cell80: $i)).
% 0.46/0.68 tff(cell82_type, type, (
% 0.46/0.68 cell82: $i)).
% 0.46/0.68 tff(cell81_type, type, (
% 0.46/0.68 cell81: $i)).
% 0.46/0.68 tff(cell83_type, type, (
% 0.46/0.68 cell83: $i)).
% 0.46/0.68 tff(cell84_type, type, (
% 0.46/0.68 cell84: $i)).
% 0.46/0.68 tff(cell85_type, type, (
% 0.46/0.68 cell85: $i)).
% 0.46/0.68 tff(cell86_type, type, (
% 0.46/0.68 cell86: $i)).
% 0.46/0.68 tff(cell87_type, type, (
% 0.46/0.68 cell87: $i)).
% 0.46/0.68 tff(cell88_type, type, (
% 0.46/0.68 cell88: $i)).
% 0.46/0.68 tff(cell89_type, type, (
% 0.46/0.68 cell89: $i)).
% 0.46/0.68 tff(cell90_type, type, (
% 0.46/0.68 cell90: $i)).
% 0.46/0.68 tff(patient_type, type, (
% 0.46/0.68 patient: $i > $o)).
% 0.46/0.68 tff(oxygen_type, type, (
% 0.46/0.68 oxygen: $i > $o)).
% 0.46/0.68 tff(adj_type, type, (
% 0.46/0.68 adj: ( $i * $i ) > $o)).
% 0.46/0.68 tff(1,plain,
% 0.46/0.68 ((~![X: $i, Y: $i] : ((~adj(X, Y)) | (~(patient(X) & oxygen(Y))))) <=> (~![X: $i, Y: $i] : ((~adj(X, Y)) | (~(patient(X) & oxygen(Y)))))),
% 0.46/0.68 inference(rewrite,[status(thm)],[])).
% 0.46/0.68 tff(2,plain,
% 0.46/0.68 ((~![X: $i, Y: $i] : ((patient(X) & oxygen(Y)) => (~adj(X, Y)))) <=> (~![X: $i, Y: $i] : ((~adj(X, Y)) | (~(patient(X) & oxygen(Y)))))),
% 0.46/0.68 inference(rewrite,[status(thm)],[])).
% 0.46/0.68 tff(3,axiom,(~![X: $i, Y: $i] : ((patient(X) & oxygen(Y)) => (~adj(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49932')).
% 0.46/0.68 tff(4,plain,
% 0.46/0.68 (~![X: $i, Y: $i] : ((~adj(X, Y)) | (~(patient(X) & oxygen(Y))))),
% 0.46/0.68 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.46/0.68 tff(5,plain,
% 0.46/0.68 (~![X: $i, Y: $i] : ((~adj(X, Y)) | (~(patient(X) & oxygen(Y))))),
% 0.46/0.68 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.46/0.68 tff(6,plain,
% 0.46/0.68 (~![X: $i, Y: $i] : ((~adj(X, Y)) | (~(patient(X) & oxygen(Y))))),
% 0.46/0.68 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.46/0.68 tff(7,plain,
% 0.46/0.68 (~![X: $i, Y: $i] : ((~adj(X, Y)) | (~(patient(X) & oxygen(Y))))),
% 0.46/0.68 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.46/0.68 tff(8,plain,(
% 0.46/0.68 ~((~adj(X!1, Y!0)) | (~(patient(X!1) & oxygen(Y!0))))),
% 0.46/0.68 inference(skolemize,[status(sab)],[7])).
% 0.46/0.68 tff(9,plain,
% 0.46/0.68 (patient(X!1) & oxygen(Y!0)),
% 0.46/0.68 inference(or_elim,[status(thm)],[8])).
% 0.46/0.68 tff(10,plain,
% 0.46/0.68 (patient(X!1)),
% 0.46/0.68 inference(and_elim,[status(thm)],[9])).
% 0.46/0.68 tff(11,plain,
% 0.46/0.68 (^[Y: $i, X: $i] : refl(((X = Y) | (~patient(X)) | (~patient(Y))) <=> ((X = Y) | (~patient(X)) | (~patient(Y))))),
% 0.46/0.68 inference(bind,[status(th)],[])).
% 0.46/0.68 tff(12,plain,
% 0.46/0.68 (![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y))) <=> ![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))),
% 0.46/0.68 inference(quant_intro,[status(thm)],[11])).
% 0.46/0.68 tff(13,plain,
% 0.46/0.68 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite((patient(X) & patient(Y)) <=> (~((~patient(X)) | (~patient(Y))))), ((~(patient(X) & patient(Y))) <=> (~(~((~patient(X)) | (~patient(Y))))))), rewrite((~(~((~patient(X)) | (~patient(Y))))) <=> ((~patient(X)) | (~patient(Y)))), ((~(patient(X) & patient(Y))) <=> ((~patient(X)) | (~patient(Y))))), (((~(patient(X) & patient(Y))) | (X = Y)) <=> (((~patient(X)) | (~patient(Y))) | (X = Y)))), rewrite((((~patient(X)) | (~patient(Y))) | (X = Y)) <=> ((X = Y) | (~patient(X)) | (~patient(Y)))), (((~(patient(X) & patient(Y))) | (X = Y)) <=> ((X = Y) | (~patient(X)) | (~patient(Y)))))),
% 0.46/0.68 inference(bind,[status(th)],[])).
% 0.46/0.68 tff(14,plain,
% 0.46/0.68 (![Y: $i, X: $i] : ((~(patient(X) & patient(Y))) | (X = Y)) <=> ![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))),
% 0.46/0.68 inference(quant_intro,[status(thm)],[13])).
% 0.46/0.68 tff(15,plain,
% 0.46/0.68 (![Y: $i, X: $i] : ((~(patient(X) & patient(Y))) | (X = Y)) <=> ![Y: $i, X: $i] : ((~(patient(X) & patient(Y))) | (X = Y))),
% 0.46/0.68 inference(rewrite,[status(thm)],[])).
% 0.46/0.68 tff(16,plain,
% 0.46/0.68 (^[Y: $i, X: $i] : rewrite(((patient(X) & patient(Y)) => (X = Y)) <=> ((~(patient(X) & patient(Y))) | (X = Y)))),
% 0.46/0.68 inference(bind,[status(th)],[])).
% 0.46/0.68 tff(17,plain,
% 0.46/0.68 (![Y: $i, X: $i] : ((patient(X) & patient(Y)) => (X = Y)) <=> ![Y: $i, X: $i] : ((~(patient(X) & patient(Y))) | (X = Y))),
% 0.46/0.68 inference(quant_intro,[status(thm)],[16])).
% 0.46/0.68 tff(18,axiom,(![Y: $i, X: $i] : ((patient(X) & patient(Y)) => (X = Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof44978')).
% 0.46/0.68 tff(19,plain,
% 0.46/0.68 (![Y: $i, X: $i] : ((~(patient(X) & patient(Y))) | (X = Y))),
% 0.46/0.68 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.46/0.68 tff(20,plain,
% 0.46/0.68 (![Y: $i, X: $i] : ((~(patient(X) & patient(Y))) | (X = Y))),
% 0.46/0.68 inference(modus_ponens,[status(thm)],[19, 15])).
% 0.46/0.68 tff(21,plain,(
% 0.46/0.68 ![Y: $i, X: $i] : ((~(patient(X) & patient(Y))) | (X = Y))),
% 0.46/0.68 inference(skolemize,[status(sab)],[20])).
% 0.46/0.68 tff(22,plain,
% 0.46/0.68 (![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))),
% 0.46/0.68 inference(modus_ponens,[status(thm)],[21, 14])).
% 0.46/0.68 tff(23,plain,
% 0.46/0.68 (![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))),
% 0.46/0.68 inference(modus_ponens,[status(thm)],[22, 12])).
% 0.46/0.68 tff(24,plain,
% 0.46/0.68 ((cell86 = X!1) <=> (X!1 = cell86)),
% 0.46/0.68 inference(commutativity,[status(thm)],[])).
% 0.46/0.68 tff(25,assumption,(cell13 = X!1), introduced(assumption)).
% 0.46/0.68 tff(26,plain,
% 0.46/0.68 ((cell86 = cell13) <=> (cell86 = X!1)),
% 0.46/0.68 inference(monotonicity,[status(thm)],[25])).
% 0.46/0.68 tff(27,plain,
% 0.46/0.68 ((cell86 = cell13) <=> (X!1 = cell86)),
% 0.46/0.68 inference(transitivity,[status(thm)],[26, 24])).
% 0.46/0.68 tff(28,plain,
% 0.46/0.68 ((~(cell86 = cell13)) <=> (~(X!1 = cell86))),
% 0.46/0.68 inference(monotonicity,[status(thm)],[27])).
% 0.46/0.68 tff(29,plain,
% 0.46/0.68 ((~(cell86 = cell13)) <=> (~(cell86 = cell13))),
% 0.46/0.68 inference(rewrite,[status(thm)],[])).
% 0.46/0.68 tff(30,axiom,(~(cell86 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46013')).
% 0.46/0.68 tff(31,plain,
% 0.46/0.68 (~(cell86 = cell13)),
% 0.46/0.68 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.46/0.68 tff(32,plain,
% 0.46/0.68 (~(X!1 = cell86)),
% 0.46/0.68 inference(modus_ponens,[status(thm)],[31, 28])).
% 0.46/0.68 tff(33,plain,
% 0.46/0.68 (((~(X!1 = cell86)) | (~(Y!0 = cell96))) | (X!1 = cell86)),
% 0.46/0.68 inference(tautology,[status(thm)],[])).
% 0.46/0.68 tff(34,plain,
% 0.46/0.68 ((~(X!1 = cell86)) | (~(Y!0 = cell96))),
% 0.46/0.68 inference(unit_resolution,[status(thm)],[33, 32])).
% 0.46/0.68 tff(35,plain,
% 0.46/0.68 ((cell1 = X!1) <=> (X!1 = cell1)),
% 0.46/0.68 inference(commutativity,[status(thm)],[])).
% 0.46/0.68 tff(36,plain,
% 0.46/0.68 ((cell1 = cell13) <=> (cell1 = X!1)),
% 0.46/0.68 inference(monotonicity,[status(thm)],[25])).
% 0.46/0.68 tff(37,plain,
% 0.46/0.68 ((cell1 = cell13) <=> (X!1 = cell1)),
% 0.46/0.68 inference(transitivity,[status(thm)],[36, 35])).
% 0.46/0.68 tff(38,plain,
% 0.46/0.68 ((~(cell1 = cell13)) <=> (~(X!1 = cell1))),
% 0.46/0.68 inference(monotonicity,[status(thm)],[37])).
% 0.46/0.68 tff(39,plain,
% 0.46/0.68 ((~(cell1 = cell13)) <=> (~(cell1 = cell13))),
% 0.46/0.68 inference(rewrite,[status(thm)],[])).
% 0.46/0.68 tff(40,axiom,(~(cell1 = cell13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49884')).
% 0.46/0.68 tff(41,plain,
% 0.46/0.68 (~(cell1 = cell13)),
% 0.46/0.68 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.46/0.68 tff(42,plain,
% 0.46/0.68 (~(X!1 = cell1)),
% 0.46/0.68 inference(modus_ponens,[status(thm)],[41, 38])).
% 0.46/0.68 tff(43,plain,
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% 0.51/0.74 tff(1522,assumption,((~(X!1 = cell3)) | (~(Y!0 = cell4))), introduced(assumption)).
% 0.51/0.74 tff(1523,assumption,((~(X!1 = cell4)) | (~(Y!0 = cell5))), introduced(assumption)).
% 0.51/0.74 tff(1524,assumption,((~(X!1 = cell5)) | (~(Y!0 = cell6))), introduced(assumption)).
% 0.51/0.74 tff(1525,assumption,((~(X!1 = cell6)) | (~(Y!0 = cell7))), introduced(assumption)).
% 0.51/0.74 tff(1526,assumption,((~(X!1 = cell7)) | (~(Y!0 = cell8))), introduced(assumption)).
% 0.51/0.74 tff(1527,assumption,((~(X!1 = cell8)) | (~(Y!0 = cell9))), introduced(assumption)).
% 0.51/0.74 tff(1528,assumption,((~(X!1 = cell9)) | (~(Y!0 = cell10))), introduced(assumption)).
% 0.51/0.74 tff(1529,assumption,((~(X!1 = cell90)) | (~(Y!0 = cell100))), introduced(assumption)).
% 0.51/0.74 tff(1530,assumption,((~(X!1 = cell12)) | (~(Y!0 = cell13))), introduced(assumption)).
% 0.51/0.74 tff(1531,assumption,(~oxygen(cell79)), introduced(assumption)).
% 0.51/0.74 tff(1532,assumption,(Y!0 = cell23), introduced(assumption)).
% 0.51/0.74 tff(1533,plain,
% 0.51/0.74 (cell23 = Y!0),
% 0.51/0.74 inference(symmetry,[status(thm)],[1532])).
% 0.51/0.74 tff(1534,plain,
% 0.51/0.74 (oxygen(cell23) <=> oxygen(Y!0)),
% 0.51/0.74 inference(monotonicity,[status(thm)],[1533])).
% 0.51/0.74 tff(1535,plain,
% 0.51/0.74 (oxygen(Y!0) <=> oxygen(cell23)),
% 0.51/0.74 inference(symmetry,[status(thm)],[1534])).
% 0.51/0.74 tff(1536,plain,
% 0.51/0.74 (oxygen(Y!0)),
% 0.51/0.74 inference(and_elim,[status(thm)],[9])).
% 0.51/0.74 tff(1537,plain,
% 0.51/0.74 (oxygen(cell23)),
% 0.51/0.74 inference(modus_ponens,[status(thm)],[1536, 1535])).
% 0.51/0.74 tff(1538,assumption,(~oxygen(cell23)), introduced(assumption)).
% 0.51/0.74 tff(1539,plain,
% 0.51/0.74 ($false),
% 0.51/0.74 inference(unit_resolution,[status(thm)],[1538, 1537])).
% 0.51/0.74 tff(1540,plain,(oxygen(cell23) | (~(Y!0 = cell23))), inference(lemma,lemma(discharge,[]))).
% 0.51/0.74 tff(1541,plain,
% 0.51/0.74 (oxygen(cell23)),
% 0.51/0.74 inference(unit_resolution,[status(thm)],[1540, 1532])).
% 0.51/0.74 tff(1542,plain,
% 0.51/0.74 ((~(cell23 = cell89)) <=> (~(cell23 = cell89))),
% 0.51/0.74 inference(rewrite,[status(thm)],[])).
% 0.51/0.74 tff(1543,axiom,(~(cell23 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49570')).
% 0.51/0.74 tff(1544,plain,
% 0.51/0.74 (~(cell23 = cell89)),
% 0.51/0.74 inference(modus_ponens,[status(thm)],[1543, 1542])).
% 0.51/0.74 tff(1545,plain,
% 0.51/0.74 (^[Y: $i, X: $i] : refl(((X = Y) | (~oxygen(X)) | (~oxygen(Y))) <=> ((X = Y) | (~oxygen(X)) | (~oxygen(Y))))),
% 0.51/0.75 inference(bind,[status(th)],[])).
% 0.51/0.75 tff(1546,plain,
% 0.51/0.75 (![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y))) <=> ![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))),
% 0.51/0.75 inference(quant_intro,[status(thm)],[1545])).
% 0.51/0.75 tff(1547,plain,
% 0.51/0.75 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite((oxygen(X) & oxygen(Y)) <=> (~((~oxygen(X)) | (~oxygen(Y))))), ((~(oxygen(X) & oxygen(Y))) <=> (~(~((~oxygen(X)) | (~oxygen(Y))))))), rewrite((~(~((~oxygen(X)) | (~oxygen(Y))))) <=> ((~oxygen(X)) | (~oxygen(Y)))), ((~(oxygen(X) & oxygen(Y))) <=> ((~oxygen(X)) | (~oxygen(Y))))), (((~(oxygen(X) & oxygen(Y))) | (X = Y)) <=> (((~oxygen(X)) | (~oxygen(Y))) | (X = Y)))), rewrite((((~oxygen(X)) | (~oxygen(Y))) | (X = Y)) <=> ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))), (((~(oxygen(X) & oxygen(Y))) | (X = Y)) <=> ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))))),
% 0.51/0.75 inference(bind,[status(th)],[])).
% 0.51/0.75 tff(1548,plain,
% 0.51/0.75 (![Y: $i, X: $i] : ((~(oxygen(X) & oxygen(Y))) | (X = Y)) <=> ![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))),
% 0.51/0.75 inference(quant_intro,[status(thm)],[1547])).
% 0.51/0.75 tff(1549,plain,
% 0.51/0.75 (![Y: $i, X: $i] : ((~(oxygen(X) & oxygen(Y))) | (X = Y)) <=> ![Y: $i, X: $i] : ((~(oxygen(X) & oxygen(Y))) | (X = Y))),
% 0.51/0.75 inference(rewrite,[status(thm)],[])).
% 0.51/0.75 tff(1550,plain,
% 0.51/0.75 (^[Y: $i, X: $i] : rewrite(((oxygen(X) & oxygen(Y)) => (X = Y)) <=> ((~(oxygen(X) & oxygen(Y))) | (X = Y)))),
% 0.51/0.75 inference(bind,[status(th)],[])).
% 0.51/0.75 tff(1551,plain,
% 0.51/0.75 (![Y: $i, X: $i] : ((oxygen(X) & oxygen(Y)) => (X = Y)) <=> ![Y: $i, X: $i] : ((~(oxygen(X) & oxygen(Y))) | (X = Y))),
% 0.51/0.75 inference(quant_intro,[status(thm)],[1550])).
% 0.51/0.75 tff(1552,axiom,(![Y: $i, X: $i] : ((oxygen(X) & oxygen(Y)) => (X = Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof44977')).
% 0.51/0.75 tff(1553,plain,
% 0.51/0.75 (![Y: $i, X: $i] : ((~(oxygen(X) & oxygen(Y))) | (X = Y))),
% 0.51/0.75 inference(modus_ponens,[status(thm)],[1552, 1551])).
% 0.51/0.75 tff(1554,plain,
% 0.51/0.75 (![Y: $i, X: $i] : ((~(oxygen(X) & oxygen(Y))) | (X = Y))),
% 0.51/0.75 inference(modus_ponens,[status(thm)],[1553, 1549])).
% 0.51/0.75 tff(1555,plain,(
% 0.51/0.75 ![Y: $i, X: $i] : ((~(oxygen(X) & oxygen(Y))) | (X = Y))),
% 0.51/0.75 inference(skolemize,[status(sab)],[1554])).
% 0.51/0.75 tff(1556,plain,
% 0.51/0.75 (![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))),
% 0.51/0.75 inference(modus_ponens,[status(thm)],[1555, 1548])).
% 0.51/0.75 tff(1557,plain,
% 0.51/0.75 (![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))),
% 0.51/0.75 inference(modus_ponens,[status(thm)],[1556, 1546])).
% 0.51/0.75 tff(1558,assumption,(oxygen(cell23)), introduced(assumption)).
% 0.51/0.75 tff(1559,plain,
% 0.51/0.75 ((~(cell23 = cell99)) <=> (~(cell23 = cell99))),
% 0.51/0.75 inference(rewrite,[status(thm)],[])).
% 0.51/0.75 tff(1560,axiom,(~(cell23 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49574')).
% 0.51/0.75 tff(1561,plain,
% 0.51/0.75 (~(cell23 = cell99)),
% 0.51/0.75 inference(modus_ponens,[status(thm)],[1560, 1559])).
% 0.51/0.75 tff(1562,assumption,(oxygen(cell99)), introduced(assumption)).
% 0.51/0.75 tff(1563,plain,
% 0.51/0.75 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell23 = cell99) | (~oxygen(cell99)) | (~oxygen(cell23)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell23 = cell99) | (~oxygen(cell99)) | (~oxygen(cell23)))),
% 0.51/0.75 inference(rewrite,[status(thm)],[])).
% 0.51/0.75 tff(1564,plain,
% 0.51/0.75 (((cell23 = cell99) | (~oxygen(cell23)) | (~oxygen(cell99))) <=> ((cell23 = cell99) | (~oxygen(cell99)) | (~oxygen(cell23)))),
% 0.51/0.75 inference(rewrite,[status(thm)],[])).
% 0.51/0.75 tff(1565,plain,
% 0.51/0.75 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell23 = cell99) | (~oxygen(cell23)) | (~oxygen(cell99)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell23 = cell99) | (~oxygen(cell99)) | (~oxygen(cell23))))),
% 0.51/0.75 inference(monotonicity,[status(thm)],[1564])).
% 0.51/0.75 tff(1566,plain,
% 0.51/0.75 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell23 = cell99) | (~oxygen(cell23)) | (~oxygen(cell99)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell23 = cell99) | (~oxygen(cell99)) | (~oxygen(cell23)))),
% 0.51/0.75 inference(transitivity,[status(thm)],[1565, 1563])).
% 0.51/0.75 tff(1567,plain,
% 0.51/0.75 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell23 = cell99) | (~oxygen(cell23)) | (~oxygen(cell99)))),
% 0.51/0.75 inference(quant_inst,[status(thm)],[])).
% 0.51/0.75 tff(1568,plain,
% 0.51/0.75 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell23 = cell99) | (~oxygen(cell99)) | (~oxygen(cell23))),
% 0.51/0.75 inference(modus_ponens,[status(thm)],[1567, 1566])).
% 0.51/0.75 tff(1569,plain,
% 0.51/0.75 ($false),
% 0.51/0.75 inference(unit_resolution,[status(thm)],[1568, 1562, 1557, 1561, 1558])).
% 0.51/0.75 tff(1570,plain,((~oxygen(cell99)) | (~oxygen(cell23))), inference(lemma,lemma(discharge,[]))).
% 0.51/0.75 tff(1571,plain,
% 0.51/0.75 (~oxygen(cell99)),
% 0.51/0.75 inference(unit_resolution,[status(thm)],[1570, 1541])).
% 0.51/0.75 tff(1572,plain,
% 0.51/0.75 ((cell90 = Y!0) <=> (Y!0 = cell90)),
% 0.51/0.75 inference(commutativity,[status(thm)],[])).
% 0.51/0.75 tff(1573,plain,
% 0.51/0.75 ((Y!0 = cell90) <=> (cell90 = Y!0)),
% 0.51/0.75 inference(symmetry,[status(thm)],[1572])).
% 0.51/0.75 tff(1574,plain,
% 0.51/0.75 ((cell23 = cell90) <=> (Y!0 = cell90)),
% 0.51/0.75 inference(monotonicity,[status(thm)],[1533])).
% 0.51/0.75 tff(1575,plain,
% 0.51/0.75 ((cell23 = cell90) <=> (cell90 = Y!0)),
% 0.51/0.75 inference(transitivity,[status(thm)],[1574, 1573])).
% 0.51/0.75 tff(1576,plain,
% 0.51/0.75 ((~(cell23 = cell90)) <=> (~(cell90 = Y!0))),
% 0.51/0.75 inference(monotonicity,[status(thm)],[1575])).
% 0.51/0.75 tff(1577,plain,
% 0.51/0.75 ((~(cell23 = cell90)) <=> (~(cell23 = cell90))),
% 0.51/0.75 inference(rewrite,[status(thm)],[])).
% 0.51/0.75 tff(1578,axiom,(~(cell23 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49573')).
% 0.51/0.75 tff(1579,plain,
% 0.51/0.75 (~(cell23 = cell90)),
% 0.51/0.75 inference(modus_ponens,[status(thm)],[1578, 1577])).
% 0.51/0.75 tff(1580,plain,
% 0.51/0.75 (~(cell90 = Y!0)),
% 0.51/0.75 inference(modus_ponens,[status(thm)],[1579, 1576])).
% 0.51/0.75 tff(1581,assumption,(~(cell90 = Y!0)), introduced(assumption)).
% 0.51/0.75 tff(1582,assumption,(oxygen(cell90)), introduced(assumption)).
% 0.51/0.75 tff(1583,plain,
% 0.51/0.75 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((~oxygen(Y!0)) | (cell90 = Y!0) | (~oxygen(cell90)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (~oxygen(Y!0)) | (cell90 = Y!0) | (~oxygen(cell90)))),
% 0.51/0.75 inference(rewrite,[status(thm)],[])).
% 0.51/0.75 tff(1584,plain,
% 0.51/0.75 (((cell90 = Y!0) | (~oxygen(cell90)) | (~oxygen(Y!0))) <=> ((~oxygen(Y!0)) | (cell90 = Y!0) | (~oxygen(cell90)))),
% 0.51/0.75 inference(rewrite,[status(thm)],[])).
% 0.51/0.75 tff(1585,plain,
% 0.51/0.75 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell90 = Y!0) | (~oxygen(cell90)) | (~oxygen(Y!0)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((~oxygen(Y!0)) | (cell90 = Y!0) | (~oxygen(cell90))))),
% 0.51/0.75 inference(monotonicity,[status(thm)],[1584])).
% 0.51/0.75 tff(1586,plain,
% 0.51/0.75 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell90 = Y!0) | (~oxygen(cell90)) | (~oxygen(Y!0)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (~oxygen(Y!0)) | (cell90 = Y!0) | (~oxygen(cell90)))),
% 0.51/0.75 inference(transitivity,[status(thm)],[1585, 1583])).
% 0.51/0.75 tff(1587,plain,
% 0.51/0.75 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell90 = Y!0) | (~oxygen(cell90)) | (~oxygen(Y!0)))),
% 0.51/0.75 inference(quant_inst,[status(thm)],[])).
% 0.51/0.75 tff(1588,plain,
% 0.51/0.75 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (~oxygen(Y!0)) | (cell90 = Y!0) | (~oxygen(cell90))),
% 0.51/0.75 inference(modus_ponens,[status(thm)],[1587, 1586])).
% 0.51/0.75 tff(1589,plain,
% 0.51/0.75 ($false),
% 0.51/0.75 inference(unit_resolution,[status(thm)],[1588, 1582, 1557, 1536, 1581])).
% 0.51/0.75 tff(1590,plain,((~oxygen(cell90)) | (cell90 = Y!0)), inference(lemma,lemma(discharge,[]))).
% 0.51/0.75 tff(1591,plain,
% 0.51/0.75 (~oxygen(cell90)),
% 0.51/0.75 inference(unit_resolution,[status(thm)],[1590, 1580])).
% 0.51/0.75 tff(1592,plain,
% 0.51/0.75 ((~(cell23 = cell88)) <=> (~(cell23 = cell88))),
% 0.51/0.75 inference(rewrite,[status(thm)],[])).
% 0.51/0.75 tff(1593,axiom,(~(cell23 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49571')).
% 0.51/0.75 tff(1594,plain,
% 0.51/0.75 (~(cell23 = cell88)),
% 0.51/0.75 inference(modus_ponens,[status(thm)],[1593, 1592])).
% 0.51/0.75 tff(1595,assumption,(oxygen(cell88)), introduced(assumption)).
% 0.51/0.75 tff(1596,plain,
% 0.51/0.75 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell23 = cell88) | (~oxygen(cell88)) | (~oxygen(cell23)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell23 = cell88) | (~oxygen(cell88)) | (~oxygen(cell23)))),
% 0.51/0.75 inference(rewrite,[status(thm)],[])).
% 0.51/0.75 tff(1597,plain,
% 0.51/0.75 (((cell23 = cell88) | (~oxygen(cell23)) | (~oxygen(cell88))) <=> ((cell23 = cell88) | (~oxygen(cell88)) | (~oxygen(cell23)))),
% 0.51/0.75 inference(rewrite,[status(thm)],[])).
% 0.51/0.75 tff(1598,plain,
% 0.51/0.75 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell23 = cell88) | (~oxygen(cell23)) | (~oxygen(cell88)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell23 = cell88) | (~oxygen(cell88)) | (~oxygen(cell23))))),
% 0.51/0.75 inference(monotonicity,[status(thm)],[1597])).
% 0.51/0.75 tff(1599,plain,
% 0.51/0.75 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell23 = cell88) | (~oxygen(cell23)) | (~oxygen(cell88)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell23 = cell88) | (~oxygen(cell88)) | (~oxygen(cell23)))),
% 0.51/0.75 inference(transitivity,[status(thm)],[1598, 1596])).
% 0.51/0.75 tff(1600,plain,
% 0.51/0.75 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell23 = cell88) | (~oxygen(cell23)) | (~oxygen(cell88)))),
% 0.51/0.75 inference(quant_inst,[status(thm)],[])).
% 0.51/0.75 tff(1601,plain,
% 0.51/0.75 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell23 = cell88) | (~oxygen(cell88)) | (~oxygen(cell23))),
% 0.51/0.75 inference(modus_ponens,[status(thm)],[1600, 1599])).
% 0.51/0.75 tff(1602,plain,
% 0.51/0.75 ($false),
% 0.51/0.75 inference(unit_resolution,[status(thm)],[1601, 1595, 1557, 1594, 1558])).
% 0.51/0.75 tff(1603,plain,((~oxygen(cell88)) | (~oxygen(cell23))), inference(lemma,lemma(discharge,[]))).
% 0.51/0.75 tff(1604,plain,
% 0.51/0.75 (~oxygen(cell88)),
% 0.51/0.75 inference(unit_resolution,[status(thm)],[1603, 1541])).
% 0.51/0.75 tff(1605,plain,
% 0.51/0.75 ((oxygen(cell89) | oxygen(cell88) | oxygen(cell79) | oxygen(cell90) | oxygen(cell99)) <=> (oxygen(cell89) | oxygen(cell88) | oxygen(cell79) | oxygen(cell90) | oxygen(cell99))),
% 0.51/0.75 inference(rewrite,[status(thm)],[])).
% 0.51/0.75 tff(1606,plain,
% 0.51/0.75 (((oxygen(cell89) | oxygen(cell88) | oxygen(cell79) | oxygen(cell90)) | oxygen(cell99)) <=> (oxygen(cell89) | oxygen(cell88) | oxygen(cell79) | oxygen(cell90) | oxygen(cell99))),
% 0.51/0.75 inference(rewrite,[status(thm)],[])).
% 0.51/0.75 tff(1607,plain,
% 0.51/0.75 (((oxygen(cell89) | oxygen(cell88) | oxygen(cell79)) | oxygen(cell90)) <=> (oxygen(cell89) | oxygen(cell88) | oxygen(cell79) | oxygen(cell90))),
% 0.51/0.75 inference(rewrite,[status(thm)],[])).
% 0.51/0.75 tff(1608,plain,
% 0.51/0.75 (((oxygen(cell89) | oxygen(cell88)) | oxygen(cell79)) <=> (oxygen(cell89) | oxygen(cell88) | oxygen(cell79))),
% 0.51/0.75 inference(rewrite,[status(thm)],[])).
% 0.51/0.75 tff(1609,plain,
% 0.51/0.75 ((oxygen(cell89) | oxygen(cell88)) <=> (oxygen(cell89) | oxygen(cell88))),
% 0.51/0.75 inference(rewrite,[status(thm)],[])).
% 0.51/0.75 tff(1610,plain,
% 0.51/0.75 (((oxygen(cell89) | oxygen(cell88)) | oxygen(cell79)) <=> ((oxygen(cell89) | oxygen(cell88)) | oxygen(cell79))),
% 0.51/0.75 inference(monotonicity,[status(thm)],[1609])).
% 0.51/0.75 tff(1611,plain,
% 0.51/0.75 (((oxygen(cell89) | oxygen(cell88)) | oxygen(cell79)) <=> (oxygen(cell89) | oxygen(cell88) | oxygen(cell79))),
% 0.51/0.75 inference(transitivity,[status(thm)],[1610, 1608])).
% 0.51/0.75 tff(1612,plain,
% 0.51/0.75 ((((oxygen(cell89) | oxygen(cell88)) | oxygen(cell79)) | oxygen(cell90)) <=> ((oxygen(cell89) | oxygen(cell88) | oxygen(cell79)) | oxygen(cell90))),
% 0.51/0.75 inference(monotonicity,[status(thm)],[1611])).
% 0.51/0.75 tff(1613,plain,
% 0.51/0.75 ((((oxygen(cell89) | oxygen(cell88)) | oxygen(cell79)) | oxygen(cell90)) <=> (oxygen(cell89) | oxygen(cell88) | oxygen(cell79) | oxygen(cell90))),
% 0.51/0.75 inference(transitivity,[status(thm)],[1612, 1607])).
% 0.51/0.75 tff(1614,plain,
% 0.51/0.75 (((((oxygen(cell89) | oxygen(cell88)) | oxygen(cell79)) | oxygen(cell90)) | oxygen(cell99)) <=> ((oxygen(cell89) | oxygen(cell88) | oxygen(cell79) | oxygen(cell90)) | oxygen(cell99))),
% 0.51/0.75 inference(monotonicity,[status(thm)],[1613])).
% 0.51/0.75 tff(1615,plain,
% 0.51/0.75 (((((oxygen(cell89) | oxygen(cell88)) | oxygen(cell79)) | oxygen(cell90)) | oxygen(cell99)) <=> (oxygen(cell89) | oxygen(cell88) | oxygen(cell79) | oxygen(cell90) | oxygen(cell99))),
% 0.51/0.75 inference(transitivity,[status(thm)],[1614, 1606])).
% 0.51/0.75 tff(1616,axiom,((((oxygen(cell89) | oxygen(cell88)) | oxygen(cell79)) | oxygen(cell90)) | oxygen(cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof44976')).
% 0.51/0.75 tff(1617,plain,
% 0.51/0.75 (oxygen(cell89) | oxygen(cell88) | oxygen(cell79) | oxygen(cell90) | oxygen(cell99)),
% 0.51/0.75 inference(modus_ponens,[status(thm)],[1616, 1615])).
% 0.51/0.75 tff(1618,plain,
% 0.51/0.75 (oxygen(cell89) | oxygen(cell88) | oxygen(cell79) | oxygen(cell90) | oxygen(cell99)),
% 0.51/0.75 inference(modus_ponens,[status(thm)],[1617, 1605])).
% 0.51/0.75 tff(1619,plain,
% 0.51/0.75 (oxygen(cell89) | oxygen(cell88) | oxygen(cell79) | oxygen(cell90) | oxygen(cell99)),
% 0.51/0.75 inference(modus_ponens,[status(thm)],[1618, 1605])).
% 0.51/0.75 tff(1620,plain,
% 0.51/0.75 (oxygen(cell89) | oxygen(cell88) | oxygen(cell79) | oxygen(cell90) | oxygen(cell99)),
% 0.51/0.75 inference(modus_ponens,[status(thm)],[1619, 1605])).
% 0.51/0.75 tff(1621,plain,
% 0.51/0.75 (oxygen(cell89) | oxygen(cell88) | oxygen(cell79) | oxygen(cell90) | oxygen(cell99)),
% 0.51/0.75 inference(modus_ponens,[status(thm)],[1620, 1605])).
% 0.51/0.75 tff(1622,plain,
% 0.51/0.75 (oxygen(cell89)),
% 0.51/0.75 inference(unit_resolution,[status(thm)],[1621, 1604, 1531, 1591, 1571])).
% 0.51/0.75 tff(1623,plain,
% 0.51/0.75 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell23 = cell89) | (~oxygen(cell89)) | (~oxygen(cell23)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell23 = cell89) | (~oxygen(cell89)) | (~oxygen(cell23)))),
% 0.51/0.75 inference(rewrite,[status(thm)],[])).
% 0.51/0.75 tff(1624,plain,
% 0.51/0.75 (((cell23 = cell89) | (~oxygen(cell23)) | (~oxygen(cell89))) <=> ((cell23 = cell89) | (~oxygen(cell89)) | (~oxygen(cell23)))),
% 0.51/0.75 inference(rewrite,[status(thm)],[])).
% 0.51/0.75 tff(1625,plain,
% 0.51/0.75 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell23 = cell89) | (~oxygen(cell23)) | (~oxygen(cell89)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell23 = cell89) | (~oxygen(cell89)) | (~oxygen(cell23))))),
% 0.51/0.75 inference(monotonicity,[status(thm)],[1624])).
% 0.51/0.75 tff(1626,plain,
% 0.51/0.75 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell23 = cell89) | (~oxygen(cell23)) | (~oxygen(cell89)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell23 = cell89) | (~oxygen(cell89)) | (~oxygen(cell23)))),
% 0.51/0.75 inference(transitivity,[status(thm)],[1625, 1623])).
% 0.51/0.75 tff(1627,plain,
% 0.51/0.75 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell23 = cell89) | (~oxygen(cell23)) | (~oxygen(cell89)))),
% 0.51/0.75 inference(quant_inst,[status(thm)],[])).
% 0.51/0.75 tff(1628,plain,
% 0.51/0.75 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell23 = cell89) | (~oxygen(cell89)) | (~oxygen(cell23))),
% 0.51/0.75 inference(modus_ponens,[status(thm)],[1627, 1626])).
% 0.51/0.75 tff(1629,plain,
% 0.51/0.75 ($false),
% 0.51/0.75 inference(unit_resolution,[status(thm)],[1628, 1622, 1557, 1544, 1541])).
% 0.51/0.75 tff(1630,plain,((~(Y!0 = cell23)) | oxygen(cell79)), inference(lemma,lemma(discharge,[]))).
% 0.51/0.75 tff(1631,plain,
% 0.51/0.75 (~(Y!0 = cell23)),
% 0.51/0.75 inference(unit_resolution,[status(thm)],[1630, 1531])).
% 0.51/0.75 tff(1632,plain,
% 0.51/0.75 (((~(X!1 = cell13)) | (~(Y!0 = cell23))) | (Y!0 = cell23)),
% 0.51/0.75 inference(tautology,[status(thm)],[])).
% 0.51/0.75 tff(1633,plain,
% 0.51/0.75 ((~(X!1 = cell13)) | (~(Y!0 = cell23))),
% 0.51/0.75 inference(unit_resolution,[status(thm)],[1632, 1631])).
% 0.51/0.75 tff(1634,assumption,((~(X!1 = cell14)) | (~(Y!0 = cell15))), introduced(assumption)).
% 0.51/0.75 tff(1635,assumption,((~(X!1 = cell15)) | (~(Y!0 = cell16))), introduced(assumption)).
% 0.51/0.75 tff(1636,assumption,((~(X!1 = cell16)) | (~(Y!0 = cell17))), introduced(assumption)).
% 0.51/0.75 tff(1637,assumption,((~(X!1 = cell17)) | (~(Y!0 = cell18))), introduced(assumption)).
% 0.51/0.75 tff(1638,assumption,((~(X!1 = cell18)) | (~(Y!0 = cell19))), introduced(assumption)).
% 0.51/0.75 tff(1639,assumption,((~(X!1 = cell19)) | (~(Y!0 = cell20))), introduced(assumption)).
% 0.51/0.75 tff(1640,assumption,((~(X!1 = cell22)) | (~(Y!0 = cell23))), introduced(assumption)).
% 0.51/0.75 tff(1641,assumption,((~(X!1 = cell23)) | (~(Y!0 = cell24))), introduced(assumption)).
% 0.51/0.75 tff(1642,assumption,((~(X!1 = cell24)) | (~(Y!0 = cell25))), introduced(assumption)).
% 0.51/0.75 tff(1643,assumption,((~(X!1 = cell25)) | (~(Y!0 = cell26))), introduced(assumption)).
% 0.51/0.75 tff(1644,assumption,((~(X!1 = cell26)) | (~(Y!0 = cell27))), introduced(assumption)).
% 0.51/0.75 tff(1645,assumption,((~(X!1 = cell27)) | (~(Y!0 = cell28))), introduced(assumption)).
% 0.51/0.75 tff(1646,assumption,((~(X!1 = cell28)) | (~(Y!0 = cell29))), introduced(assumption)).
% 0.51/0.75 tff(1647,assumption,((~(X!1 = cell29)) | (~(Y!0 = cell30))), introduced(assumption)).
% 0.51/0.75 tff(1648,assumption,((~(X!1 = cell31)) | (~(Y!0 = cell32))), introduced(assumption)).
% 0.51/0.75 tff(1649,assumption,((~(X!1 = cell32)) | (~(Y!0 = cell33))), introduced(assumption)).
% 0.51/0.75 tff(1650,assumption,((~(X!1 = cell33)) | (~(Y!0 = cell34))), introduced(assumption)).
% 0.51/0.75 tff(1651,assumption,((~(X!1 = cell34)) | (~(Y!0 = cell35))), introduced(assumption)).
% 0.51/0.75 tff(1652,assumption,((~(X!1 = cell35)) | (~(Y!0 = cell36))), introduced(assumption)).
% 0.51/0.75 tff(1653,assumption,((~(X!1 = cell36)) | (~(Y!0 = cell37))), introduced(assumption)).
% 0.51/0.75 tff(1654,assumption,((~(X!1 = cell37)) | (~(Y!0 = cell38))), introduced(assumption)).
% 0.51/0.75 tff(1655,assumption,((~(X!1 = cell38)) | (~(Y!0 = cell39))), introduced(assumption)).
% 0.51/0.75 tff(1656,assumption,((~(X!1 = cell39)) | (~(Y!0 = cell40))), introduced(assumption)).
% 0.51/0.75 tff(1657,assumption,((~(X!1 = cell41)) | (~(Y!0 = cell42))), introduced(assumption)).
% 0.51/0.75 tff(1658,assumption,((~(X!1 = cell42)) | (~(Y!0 = cell43))), introduced(assumption)).
% 0.51/0.75 tff(1659,assumption,((~(X!1 = cell43)) | (~(Y!0 = cell44))), introduced(assumption)).
% 0.51/0.75 tff(1660,assumption,((~(X!1 = cell44)) | (~(Y!0 = cell45))), introduced(assumption)).
% 0.51/0.75 tff(1661,assumption,((~(X!1 = cell45)) | (~(Y!0 = cell46))), introduced(assumption)).
% 0.51/0.75 tff(1662,assumption,((~(X!1 = cell46)) | (~(Y!0 = cell47))), introduced(assumption)).
% 0.51/0.75 tff(1663,assumption,((~(X!1 = cell47)) | (~(Y!0 = cell48))), introduced(assumption)).
% 0.51/0.75 tff(1664,assumption,((~(X!1 = cell48)) | (~(Y!0 = cell49))), introduced(assumption)).
% 0.51/0.75 tff(1665,assumption,((~(X!1 = cell49)) | (~(Y!0 = cell50))), introduced(assumption)).
% 0.51/0.75 tff(1666,assumption,((~(X!1 = cell51)) | (~(Y!0 = cell52))), introduced(assumption)).
% 0.51/0.75 tff(1667,assumption,((~(X!1 = cell52)) | (~(Y!0 = cell53))), introduced(assumption)).
% 0.51/0.75 tff(1668,assumption,((~(X!1 = cell53)) | (~(Y!0 = cell54))), introduced(assumption)).
% 0.51/0.75 tff(1669,assumption,((~(X!1 = cell54)) | (~(Y!0 = cell55))), introduced(assumption)).
% 0.51/0.75 tff(1670,assumption,((~(X!1 = cell55)) | (~(Y!0 = cell56))), introduced(assumption)).
% 0.51/0.75 tff(1671,assumption,((~(X!1 = cell56)) | (~(Y!0 = cell57))), introduced(assumption)).
% 0.51/0.75 tff(1672,assumption,((~(X!1 = cell57)) | (~(Y!0 = cell58))), introduced(assumption)).
% 0.51/0.75 tff(1673,assumption,((~(X!1 = cell58)) | (~(Y!0 = cell59))), introduced(assumption)).
% 0.51/0.75 tff(1674,assumption,((~(X!1 = cell59)) | (~(Y!0 = cell60))), introduced(assumption)).
% 0.51/0.75 tff(1675,assumption,((~(X!1 = cell61)) | (~(Y!0 = cell62))), introduced(assumption)).
% 0.51/0.75 tff(1676,assumption,((~(X!1 = cell62)) | (~(Y!0 = cell63))), introduced(assumption)).
% 0.51/0.75 tff(1677,assumption,((~(X!1 = cell63)) | (~(Y!0 = cell64))), introduced(assumption)).
% 0.51/0.75 tff(1678,assumption,((~(X!1 = cell64)) | (~(Y!0 = cell65))), introduced(assumption)).
% 0.51/0.75 tff(1679,assumption,((~(X!1 = cell65)) | (~(Y!0 = cell66))), introduced(assumption)).
% 0.51/0.75 tff(1680,assumption,((~(X!1 = cell66)) | (~(Y!0 = cell67))), introduced(assumption)).
% 0.51/0.75 tff(1681,assumption,((~(X!1 = cell67)) | (~(Y!0 = cell68))), introduced(assumption)).
% 0.51/0.75 tff(1682,assumption,((~(X!1 = cell68)) | (~(Y!0 = cell69))), introduced(assumption)).
% 0.51/0.75 tff(1683,assumption,((~(X!1 = cell69)) | (~(Y!0 = cell70))), introduced(assumption)).
% 0.51/0.75 tff(1684,assumption,((~(X!1 = cell71)) | (~(Y!0 = cell72))), introduced(assumption)).
% 0.51/0.75 tff(1685,assumption,((~(X!1 = cell72)) | (~(Y!0 = cell73))), introduced(assumption)).
% 0.51/0.75 tff(1686,assumption,((~(X!1 = cell73)) | (~(Y!0 = cell74))), introduced(assumption)).
% 0.51/0.75 tff(1687,assumption,((~(X!1 = cell74)) | (~(Y!0 = cell75))), introduced(assumption)).
% 0.51/0.75 tff(1688,assumption,((~(X!1 = cell75)) | (~(Y!0 = cell76))), introduced(assumption)).
% 0.51/0.75 tff(1689,assumption,((~(X!1 = cell76)) | (~(Y!0 = cell77))), introduced(assumption)).
% 0.51/0.75 tff(1690,assumption,((~(X!1 = cell77)) | (~(Y!0 = cell78))), introduced(assumption)).
% 0.51/0.75 tff(1691,assumption,((~(X!1 = cell78)) | (~(Y!0 = cell79))), introduced(assumption)).
% 0.58/0.75 tff(1692,assumption,((~(X!1 = cell79)) | (~(Y!0 = cell80))), introduced(assumption)).
% 0.58/0.75 tff(1693,assumption,((~(X!1 = cell81)) | (~(Y!0 = cell82))), introduced(assumption)).
% 0.58/0.75 tff(1694,assumption,((~(X!1 = cell82)) | (~(Y!0 = cell83))), introduced(assumption)).
% 0.58/0.75 tff(1695,assumption,((~(X!1 = cell83)) | (~(Y!0 = cell84))), introduced(assumption)).
% 0.58/0.75 tff(1696,assumption,((~(X!1 = cell84)) | (~(Y!0 = cell85))), introduced(assumption)).
% 0.58/0.75 tff(1697,assumption,((~(X!1 = cell85)) | (~(Y!0 = cell86))), introduced(assumption)).
% 0.58/0.75 tff(1698,assumption,((~(X!1 = cell86)) | (~(Y!0 = cell87))), introduced(assumption)).
% 0.58/0.75 tff(1699,assumption,((~(X!1 = cell78)) | (~(Y!0 = cell88))), introduced(assumption)).
% 0.58/0.75 tff(1700,assumption,((~(X!1 = cell88)) | (~(Y!0 = cell89))), introduced(assumption)).
% 0.58/0.75 tff(1701,assumption,((~(X!1 = cell89)) | (~(Y!0 = cell90))), introduced(assumption)).
% 0.58/0.75 tff(1702,assumption,((~(X!1 = cell91)) | (~(Y!0 = cell92))), introduced(assumption)).
% 0.58/0.75 tff(1703,assumption,((~(X!1 = cell92)) | (~(Y!0 = cell93))), introduced(assumption)).
% 0.58/0.75 tff(1704,assumption,((~(X!1 = cell93)) | (~(Y!0 = cell94))), introduced(assumption)).
% 0.58/0.75 tff(1705,assumption,((~(X!1 = cell94)) | (~(Y!0 = cell95))), introduced(assumption)).
% 0.58/0.75 tff(1706,assumption,((~(X!1 = cell95)) | (~(Y!0 = cell96))), introduced(assumption)).
% 0.58/0.75 tff(1707,assumption,((~(X!1 = cell96)) | (~(Y!0 = cell97))), introduced(assumption)).
% 0.58/0.75 tff(1708,assumption,((~(X!1 = cell97)) | (~(Y!0 = cell98))), introduced(assumption)).
% 0.58/0.75 tff(1709,assumption,((~(X!1 = cell87)) | (~(Y!0 = cell97))), introduced(assumption)).
% 0.58/0.75 tff(1710,assumption,((~(X!1 = cell99)) | (~(Y!0 = cell100))), introduced(assumption)).
% 0.58/0.75 tff(1711,assumption,((~(X!1 = cell1)) | (~(Y!0 = cell11))), introduced(assumption)).
% 0.58/0.75 tff(1712,assumption,((~(X!1 = cell11)) | (~(Y!0 = cell21))), introduced(assumption)).
% 0.58/0.75 tff(1713,assumption,((~(X!1 = cell3)) | (~(Y!0 = cell13))), introduced(assumption)).
% 0.58/0.75 tff(1714,assumption,((~(X!1 = cell4)) | (~(Y!0 = cell14))), introduced(assumption)).
% 0.58/0.75 tff(1715,assumption,((~(X!1 = cell5)) | (~(Y!0 = cell15))), introduced(assumption)).
% 0.58/0.75 tff(1716,assumption,((~(X!1 = cell6)) | (~(Y!0 = cell16))), introduced(assumption)).
% 0.58/0.75 tff(1717,assumption,((~(X!1 = cell7)) | (~(Y!0 = cell17))), introduced(assumption)).
% 0.58/0.75 tff(1718,assumption,((~(X!1 = cell8)) | (~(Y!0 = cell18))), introduced(assumption)).
% 0.58/0.75 tff(1719,assumption,((~(X!1 = cell9)) | (~(Y!0 = cell19))), introduced(assumption)).
% 0.58/0.75 tff(1720,assumption,((~(X!1 = cell10)) | (~(Y!0 = cell20))), introduced(assumption)).
% 0.58/0.75 tff(1721,assumption,((~(X!1 = cell88)) | (~(Y!0 = cell98))), introduced(assumption)).
% 0.58/0.75 tff(1722,assumption,((~(X!1 = cell79)) | (~(Y!0 = cell89))), introduced(assumption)).
% 0.58/0.75 tff(1723,assumption,((~(X!1 = cell89)) | (~(Y!0 = cell99))), introduced(assumption)).
% 0.58/0.75 tff(1724,assumption,((~(X!1 = cell14)) | (~(Y!0 = cell24))), introduced(assumption)).
% 0.58/0.75 tff(1725,assumption,((~(X!1 = cell15)) | (~(Y!0 = cell25))), introduced(assumption)).
% 0.58/0.75 tff(1726,assumption,((~(X!1 = cell16)) | (~(Y!0 = cell26))), introduced(assumption)).
% 0.58/0.75 tff(1727,assumption,((~(X!1 = cell17)) | (~(Y!0 = cell27))), introduced(assumption)).
% 0.58/0.75 tff(1728,assumption,((~(X!1 = cell18)) | (~(Y!0 = cell28))), introduced(assumption)).
% 0.58/0.75 tff(1729,assumption,((~(X!1 = cell19)) | (~(Y!0 = cell29))), introduced(assumption)).
% 0.58/0.75 tff(1730,assumption,((~(X!1 = cell20)) | (~(Y!0 = cell30))), introduced(assumption)).
% 0.58/0.75 tff(1731,assumption,((~(X!1 = cell21)) | (~(Y!0 = cell31))), introduced(assumption)).
% 0.58/0.75 tff(1732,assumption,((~(X!1 = cell22)) | (~(Y!0 = cell32))), introduced(assumption)).
% 0.58/0.75 tff(1733,assumption,((~(X!1 = cell23)) | (~(Y!0 = cell33))), introduced(assumption)).
% 0.58/0.75 tff(1734,assumption,((~(X!1 = cell24)) | (~(Y!0 = cell34))), introduced(assumption)).
% 0.58/0.75 tff(1735,assumption,((~(X!1 = cell25)) | (~(Y!0 = cell35))), introduced(assumption)).
% 0.58/0.75 tff(1736,assumption,((~(X!1 = cell26)) | (~(Y!0 = cell36))), introduced(assumption)).
% 0.58/0.75 tff(1737,assumption,((~(X!1 = cell27)) | (~(Y!0 = cell37))), introduced(assumption)).
% 0.58/0.75 tff(1738,assumption,((~(X!1 = cell28)) | (~(Y!0 = cell38))), introduced(assumption)).
% 0.58/0.75 tff(1739,assumption,((~(X!1 = cell29)) | (~(Y!0 = cell39))), introduced(assumption)).
% 0.58/0.76 tff(1740,assumption,((~(X!1 = cell30)) | (~(Y!0 = cell40))), introduced(assumption)).
% 0.58/0.76 tff(1741,assumption,((~(X!1 = cell31)) | (~(Y!0 = cell41))), introduced(assumption)).
% 0.58/0.76 tff(1742,assumption,((~(X!1 = cell32)) | (~(Y!0 = cell42))), introduced(assumption)).
% 0.58/0.76 tff(1743,assumption,((~(X!1 = cell33)) | (~(Y!0 = cell43))), introduced(assumption)).
% 0.58/0.76 tff(1744,assumption,((~(X!1 = cell34)) | (~(Y!0 = cell44))), introduced(assumption)).
% 0.58/0.76 tff(1745,assumption,((~(X!1 = cell35)) | (~(Y!0 = cell45))), introduced(assumption)).
% 0.58/0.76 tff(1746,assumption,((~(X!1 = cell36)) | (~(Y!0 = cell46))), introduced(assumption)).
% 0.58/0.76 tff(1747,assumption,((~(X!1 = cell37)) | (~(Y!0 = cell47))), introduced(assumption)).
% 0.58/0.76 tff(1748,assumption,((~(X!1 = cell38)) | (~(Y!0 = cell48))), introduced(assumption)).
% 0.58/0.76 tff(1749,assumption,((~(X!1 = cell39)) | (~(Y!0 = cell49))), introduced(assumption)).
% 0.58/0.76 tff(1750,assumption,((~(X!1 = cell40)) | (~(Y!0 = cell50))), introduced(assumption)).
% 0.58/0.76 tff(1751,assumption,((~(X!1 = cell41)) | (~(Y!0 = cell51))), introduced(assumption)).
% 0.58/0.76 tff(1752,assumption,((~(X!1 = cell42)) | (~(Y!0 = cell52))), introduced(assumption)).
% 0.58/0.76 tff(1753,assumption,((~(X!1 = cell43)) | (~(Y!0 = cell53))), introduced(assumption)).
% 0.58/0.76 tff(1754,assumption,((~(X!1 = cell44)) | (~(Y!0 = cell54))), introduced(assumption)).
% 0.58/0.76 tff(1755,assumption,((~(X!1 = cell45)) | (~(Y!0 = cell55))), introduced(assumption)).
% 0.58/0.76 tff(1756,assumption,((~(X!1 = cell46)) | (~(Y!0 = cell56))), introduced(assumption)).
% 0.58/0.76 tff(1757,assumption,((~(X!1 = cell47)) | (~(Y!0 = cell57))), introduced(assumption)).
% 0.58/0.76 tff(1758,assumption,((~(X!1 = cell48)) | (~(Y!0 = cell58))), introduced(assumption)).
% 0.58/0.76 tff(1759,assumption,((~(X!1 = cell49)) | (~(Y!0 = cell59))), introduced(assumption)).
% 0.58/0.76 tff(1760,assumption,((~(X!1 = cell50)) | (~(Y!0 = cell60))), introduced(assumption)).
% 0.58/0.76 tff(1761,assumption,((~(X!1 = cell51)) | (~(Y!0 = cell61))), introduced(assumption)).
% 0.58/0.76 tff(1762,assumption,((~(X!1 = cell52)) | (~(Y!0 = cell62))), introduced(assumption)).
% 0.58/0.76 tff(1763,assumption,((~(X!1 = cell53)) | (~(Y!0 = cell63))), introduced(assumption)).
% 0.58/0.76 tff(1764,assumption,((~(X!1 = cell54)) | (~(Y!0 = cell64))), introduced(assumption)).
% 0.58/0.76 tff(1765,assumption,((~(X!1 = cell55)) | (~(Y!0 = cell65))), introduced(assumption)).
% 0.58/0.76 tff(1766,assumption,((~(X!1 = cell56)) | (~(Y!0 = cell66))), introduced(assumption)).
% 0.58/0.76 tff(1767,assumption,((~(X!1 = cell57)) | (~(Y!0 = cell67))), introduced(assumption)).
% 0.58/0.76 tff(1768,assumption,((~(X!1 = cell58)) | (~(Y!0 = cell68))), introduced(assumption)).
% 0.58/0.76 tff(1769,assumption,((~(X!1 = cell59)) | (~(Y!0 = cell69))), introduced(assumption)).
% 0.58/0.76 tff(1770,assumption,((~(X!1 = cell60)) | (~(Y!0 = cell70))), introduced(assumption)).
% 0.58/0.76 tff(1771,assumption,((~(X!1 = cell61)) | (~(Y!0 = cell71))), introduced(assumption)).
% 0.58/0.76 tff(1772,assumption,((~(X!1 = cell62)) | (~(Y!0 = cell72))), introduced(assumption)).
% 0.58/0.76 tff(1773,assumption,((~(X!1 = cell63)) | (~(Y!0 = cell73))), introduced(assumption)).
% 0.58/0.76 tff(1774,assumption,((~(X!1 = cell64)) | (~(Y!0 = cell74))), introduced(assumption)).
% 0.58/0.76 tff(1775,assumption,((~(X!1 = cell65)) | (~(Y!0 = cell75))), introduced(assumption)).
% 0.58/0.76 tff(1776,assumption,((~(X!1 = cell66)) | (~(Y!0 = cell76))), introduced(assumption)).
% 0.58/0.76 tff(1777,assumption,((~(X!1 = cell67)) | (~(Y!0 = cell77))), introduced(assumption)).
% 0.58/0.76 tff(1778,assumption,((~(X!1 = cell68)) | (~(Y!0 = cell78))), introduced(assumption)).
% 0.58/0.76 tff(1779,assumption,((~(X!1 = cell11)) | (~(Y!0 = cell12))), introduced(assumption)).
% 0.58/0.76 tff(1780,assumption,((~(X!1 = cell70)) | (~(Y!0 = cell80))), introduced(assumption)).
% 0.58/0.76 tff(1781,assumption,((~(X!1 = cell71)) | (~(Y!0 = cell81))), introduced(assumption)).
% 0.58/0.76 tff(1782,assumption,((~(X!1 = cell72)) | (~(Y!0 = cell82))), introduced(assumption)).
% 0.58/0.76 tff(1783,assumption,((~(X!1 = cell73)) | (~(Y!0 = cell83))), introduced(assumption)).
% 0.58/0.76 tff(1784,assumption,((~(X!1 = cell74)) | (~(Y!0 = cell84))), introduced(assumption)).
% 0.58/0.76 tff(1785,assumption,((~(X!1 = cell75)) | (~(Y!0 = cell85))), introduced(assumption)).
% 0.58/0.76 tff(1786,assumption,((~(X!1 = cell76)) | (~(Y!0 = cell86))), introduced(assumption)).
% 0.58/0.76 tff(1787,assumption,((~(X!1 = cell77)) | (~(Y!0 = cell87))), introduced(assumption)).
% 0.58/0.76 tff(1788,assumption,((~(X!1 = cell85)) | (~(Y!0 = cell95))), introduced(assumption)).
% 0.58/0.76 tff(1789,assumption,((~(X!1 = cell87)) | (~(Y!0 = cell88))), introduced(assumption)).
% 0.58/0.76 tff(1790,assumption,((~(X!1 = cell98)) | (~(Y!0 = cell99))), introduced(assumption)).
% 0.58/0.76 tff(1791,assumption,((~(X!1 = cell81)) | (~(Y!0 = cell91))), introduced(assumption)).
% 0.58/0.76 tff(1792,assumption,((~(X!1 = cell82)) | (~(Y!0 = cell92))), introduced(assumption)).
% 0.58/0.76 tff(1793,assumption,((~(X!1 = cell83)) | (~(Y!0 = cell93))), introduced(assumption)).
% 0.58/0.76 tff(1794,assumption,((~(X!1 = cell84)) | (~(Y!0 = cell94))), introduced(assumption)).
% 0.58/0.76 tff(1795,assumption,((~(X!1 = cell2)) | (~(Y!0 = cell12))), introduced(assumption)).
% 0.58/0.76 tff(1796,assumption,((~(X!1 = cell2)) | (~(Y!0 = cell3))), introduced(assumption)).
% 0.58/0.76 tff(1797,assumption,((~(X!1 = cell69)) | (~(Y!0 = cell79))), introduced(assumption)).
% 0.58/0.76 tff(1798,plain,
% 0.58/0.76 ((cell14 = Y!0) <=> (Y!0 = cell14)),
% 0.58/0.76 inference(commutativity,[status(thm)],[])).
% 0.58/0.76 tff(1799,assumption,((~(Y!0 = cell1)) | (~(X!1 = cell11))), introduced(assumption)).
% 0.58/0.76 tff(1800,assumption,((~(X!1 = cell92)) | (~(Y!0 = cell91))), introduced(assumption)).
% 0.58/0.76 tff(1801,assumption,((~(X!1 = cell93)) | (~(Y!0 = cell92))), introduced(assumption)).
% 0.58/0.76 tff(1802,assumption,((~(X!1 = cell94)) | (~(Y!0 = cell93))), introduced(assumption)).
% 0.58/0.76 tff(1803,assumption,((~(X!1 = cell95)) | (~(Y!0 = cell94))), introduced(assumption)).
% 0.58/0.76 tff(1804,assumption,((~(X!1 = cell96)) | (~(Y!0 = cell95))), introduced(assumption)).
% 0.58/0.76 tff(1805,assumption,((~(X!1 = cell97)) | (~(Y!0 = cell96))), introduced(assumption)).
% 0.58/0.76 tff(1806,assumption,((~(X!1 = cell98)) | (~(Y!0 = cell97))), introduced(assumption)).
% 0.58/0.76 tff(1807,assumption,((~(X!1 = cell99)) | (~(Y!0 = cell98))), introduced(assumption)).
% 0.58/0.76 tff(1808,assumption,((~(Y!0 = cell90)) | (~(X!1 = cell100))), introduced(assumption)).
% 0.58/0.76 tff(1809,assumption,((~(Y!0 = cell87)) | (~(X!1 = cell97))), introduced(assumption)).
% 0.58/0.76 tff(1810,assumption,((~(Y!0 = cell2)) | (~(X!1 = cell3))), introduced(assumption)).
% 0.58/0.76 tff(1811,assumption,((~(Y!0 = cell3)) | (~(X!1 = cell4))), introduced(assumption)).
% 0.58/0.76 tff(1812,assumption,((~(Y!0 = cell4)) | (~(X!1 = cell5))), introduced(assumption)).
% 0.58/0.76 tff(1813,assumption,((~(Y!0 = cell5)) | (~(X!1 = cell6))), introduced(assumption)).
% 0.58/0.76 tff(1814,assumption,((~(Y!0 = cell6)) | (~(X!1 = cell7))), introduced(assumption)).
% 0.58/0.76 tff(1815,assumption,((~(Y!0 = cell7)) | (~(X!1 = cell8))), introduced(assumption)).
% 0.58/0.76 tff(1816,assumption,((~(Y!0 = cell8)) | (~(X!1 = cell9))), introduced(assumption)).
% 0.58/0.76 tff(1817,assumption,((~(Y!0 = cell9)) | (~(X!1 = cell10))), introduced(assumption)).
% 0.58/0.76 tff(1818,assumption,((~(Y!0 = cell11)) | (~(X!1 = cell12))), introduced(assumption)).
% 0.58/0.76 tff(1819,assumption,((~(Y!0 = cell13)) | (~(X!1 = cell14))), introduced(assumption)).
% 0.58/0.76 tff(1820,assumption,((~(Y!0 = cell14)) | (~(X!1 = cell15))), introduced(assumption)).
% 0.58/0.76 tff(1821,assumption,((~(Y!0 = cell15)) | (~(X!1 = cell16))), introduced(assumption)).
% 0.58/0.76 tff(1822,assumption,((~(Y!0 = cell16)) | (~(X!1 = cell17))), introduced(assumption)).
% 0.58/0.76 tff(1823,assumption,((~(Y!0 = cell17)) | (~(X!1 = cell18))), introduced(assumption)).
% 0.58/0.76 tff(1824,assumption,((~(Y!0 = cell18)) | (~(X!1 = cell19))), introduced(assumption)).
% 0.58/0.76 tff(1825,assumption,((~(Y!0 = cell19)) | (~(X!1 = cell20))), introduced(assumption)).
% 0.58/0.76 tff(1826,assumption,((~(Y!0 = cell21)) | (~(X!1 = cell22))), introduced(assumption)).
% 0.58/0.76 tff(1827,assumption,((~(Y!0 = cell23)) | (~(X!1 = cell24))), introduced(assumption)).
% 0.58/0.76 tff(1828,assumption,((~(Y!0 = cell24)) | (~(X!1 = cell25))), introduced(assumption)).
% 0.58/0.76 tff(1829,assumption,((~(Y!0 = cell25)) | (~(X!1 = cell26))), introduced(assumption)).
% 0.58/0.76 tff(1830,assumption,((~(Y!0 = cell26)) | (~(X!1 = cell27))), introduced(assumption)).
% 0.58/0.76 tff(1831,assumption,((~(Y!0 = cell27)) | (~(X!1 = cell28))), introduced(assumption)).
% 0.58/0.76 tff(1832,assumption,((~(Y!0 = cell28)) | (~(X!1 = cell29))), introduced(assumption)).
% 0.58/0.76 tff(1833,assumption,((~(Y!0 = cell29)) | (~(X!1 = cell30))), introduced(assumption)).
% 0.58/0.76 tff(1834,assumption,((~(Y!0 = cell31)) | (~(X!1 = cell32))), introduced(assumption)).
% 0.58/0.76 tff(1835,assumption,((~(Y!0 = cell32)) | (~(X!1 = cell33))), introduced(assumption)).
% 0.58/0.76 tff(1836,assumption,((~(Y!0 = cell33)) | (~(X!1 = cell34))), introduced(assumption)).
% 0.58/0.76 tff(1837,assumption,((~(Y!0 = cell34)) | (~(X!1 = cell35))), introduced(assumption)).
% 0.58/0.76 tff(1838,assumption,((~(Y!0 = cell35)) | (~(X!1 = cell36))), introduced(assumption)).
% 0.58/0.76 tff(1839,assumption,((~(Y!0 = cell36)) | (~(X!1 = cell37))), introduced(assumption)).
% 0.58/0.76 tff(1840,assumption,((~(Y!0 = cell37)) | (~(X!1 = cell38))), introduced(assumption)).
% 0.58/0.76 tff(1841,assumption,((~(Y!0 = cell38)) | (~(X!1 = cell39))), introduced(assumption)).
% 0.58/0.76 tff(1842,assumption,((~(Y!0 = cell39)) | (~(X!1 = cell40))), introduced(assumption)).
% 0.58/0.76 tff(1843,assumption,((~(Y!0 = cell41)) | (~(X!1 = cell42))), introduced(assumption)).
% 0.58/0.76 tff(1844,assumption,((~(Y!0 = cell42)) | (~(X!1 = cell43))), introduced(assumption)).
% 0.58/0.76 tff(1845,assumption,((~(Y!0 = cell43)) | (~(X!1 = cell44))), introduced(assumption)).
% 0.58/0.76 tff(1846,assumption,((~(Y!0 = cell44)) | (~(X!1 = cell45))), introduced(assumption)).
% 0.58/0.76 tff(1847,assumption,((~(Y!0 = cell45)) | (~(X!1 = cell46))), introduced(assumption)).
% 0.58/0.76 tff(1848,assumption,((~(Y!0 = cell46)) | (~(X!1 = cell47))), introduced(assumption)).
% 0.58/0.76 tff(1849,assumption,((~(Y!0 = cell47)) | (~(X!1 = cell48))), introduced(assumption)).
% 0.58/0.76 tff(1850,assumption,((~(Y!0 = cell48)) | (~(X!1 = cell49))), introduced(assumption)).
% 0.58/0.76 tff(1851,assumption,((~(Y!0 = cell49)) | (~(X!1 = cell50))), introduced(assumption)).
% 0.58/0.76 tff(1852,assumption,((~(Y!0 = cell51)) | (~(X!1 = cell52))), introduced(assumption)).
% 0.58/0.76 tff(1853,assumption,((~(Y!0 = cell52)) | (~(X!1 = cell53))), introduced(assumption)).
% 0.58/0.76 tff(1854,assumption,((~(Y!0 = cell53)) | (~(X!1 = cell54))), introduced(assumption)).
% 0.58/0.76 tff(1855,assumption,((~(Y!0 = cell54)) | (~(X!1 = cell55))), introduced(assumption)).
% 0.58/0.76 tff(1856,assumption,((~(Y!0 = cell55)) | (~(X!1 = cell56))), introduced(assumption)).
% 0.58/0.76 tff(1857,assumption,((~(Y!0 = cell56)) | (~(X!1 = cell57))), introduced(assumption)).
% 0.58/0.76 tff(1858,assumption,((~(Y!0 = cell57)) | (~(X!1 = cell58))), introduced(assumption)).
% 0.58/0.76 tff(1859,assumption,((~(Y!0 = cell58)) | (~(X!1 = cell59))), introduced(assumption)).
% 0.58/0.76 tff(1860,assumption,((~(Y!0 = cell59)) | (~(X!1 = cell60))), introduced(assumption)).
% 0.58/0.76 tff(1861,assumption,((~(Y!0 = cell61)) | (~(X!1 = cell62))), introduced(assumption)).
% 0.58/0.76 tff(1862,assumption,((~(Y!0 = cell62)) | (~(X!1 = cell63))), introduced(assumption)).
% 0.58/0.76 tff(1863,assumption,((~(Y!0 = cell63)) | (~(X!1 = cell64))), introduced(assumption)).
% 0.58/0.76 tff(1864,assumption,((~(Y!0 = cell64)) | (~(X!1 = cell65))), introduced(assumption)).
% 0.58/0.76 tff(1865,assumption,((~(Y!0 = cell65)) | (~(X!1 = cell66))), introduced(assumption)).
% 0.58/0.76 tff(1866,assumption,((~(Y!0 = cell66)) | (~(X!1 = cell67))), introduced(assumption)).
% 0.58/0.76 tff(1867,assumption,((~(Y!0 = cell67)) | (~(X!1 = cell68))), introduced(assumption)).
% 0.58/0.76 tff(1868,assumption,((~(Y!0 = cell68)) | (~(X!1 = cell69))), introduced(assumption)).
% 0.58/0.76 tff(1869,assumption,((~(Y!0 = cell69)) | (~(X!1 = cell70))), introduced(assumption)).
% 0.58/0.76 tff(1870,assumption,((~(Y!0 = cell71)) | (~(X!1 = cell72))), introduced(assumption)).
% 0.58/0.76 tff(1871,assumption,((~(Y!0 = cell72)) | (~(X!1 = cell73))), introduced(assumption)).
% 0.58/0.76 tff(1872,assumption,((~(Y!0 = cell73)) | (~(X!1 = cell74))), introduced(assumption)).
% 0.58/0.76 tff(1873,assumption,((~(Y!0 = cell74)) | (~(X!1 = cell75))), introduced(assumption)).
% 0.58/0.76 tff(1874,assumption,((~(Y!0 = cell75)) | (~(X!1 = cell76))), introduced(assumption)).
% 0.58/0.76 tff(1875,assumption,((~(Y!0 = cell76)) | (~(X!1 = cell77))), introduced(assumption)).
% 0.58/0.76 tff(1876,assumption,((~(Y!0 = cell77)) | (~(X!1 = cell78))), introduced(assumption)).
% 0.58/0.76 tff(1877,assumption,((~(Y!0 = cell78)) | (~(X!1 = cell79))), introduced(assumption)).
% 0.58/0.76 tff(1878,assumption,((~(X!1 = cell100)) | (~(Y!0 = cell99))), introduced(assumption)).
% 0.58/0.76 tff(1879,assumption,((~(Y!0 = cell81)) | (~(X!1 = cell82))), introduced(assumption)).
% 0.58/0.76 tff(1880,assumption,((~(Y!0 = cell82)) | (~(X!1 = cell83))), introduced(assumption)).
% 0.58/0.76 tff(1881,assumption,((~(Y!0 = cell83)) | (~(X!1 = cell84))), introduced(assumption)).
% 0.58/0.76 tff(1882,assumption,((~(Y!0 = cell84)) | (~(X!1 = cell85))), introduced(assumption)).
% 0.58/0.76 tff(1883,assumption,((~(Y!0 = cell85)) | (~(X!1 = cell86))), introduced(assumption)).
% 0.58/0.76 tff(1884,assumption,((~(Y!0 = cell86)) | (~(X!1 = cell87))), introduced(assumption)).
% 0.58/0.76 tff(1885,assumption,((~(Y!0 = cell87)) | (~(X!1 = cell88))), introduced(assumption)).
% 0.58/0.76 tff(1886,assumption,((~(Y!0 = cell88)) | (~(X!1 = cell89))), introduced(assumption)).
% 0.58/0.76 tff(1887,assumption,((~(Y!0 = cell89)) | (~(X!1 = cell90))), introduced(assumption)).
% 0.58/0.76 tff(1888,assumption,((~(Y!0 = cell79)) | (~(X!1 = cell89))), introduced(assumption)).
% 0.58/0.76 tff(1889,assumption,((~(Y!0 = cell89)) | (~(X!1 = cell99))), introduced(assumption)).
% 0.58/0.76 tff(1890,assumption,((~(Y!0 = cell2)) | (~(X!1 = cell12))), introduced(assumption)).
% 0.58/0.76 tff(1891,assumption,((~(Y!0 = cell4)) | (~(X!1 = cell14))), introduced(assumption)).
% 0.58/0.76 tff(1892,assumption,((~(Y!0 = cell5)) | (~(X!1 = cell15))), introduced(assumption)).
% 0.58/0.76 tff(1893,assumption,((~(Y!0 = cell6)) | (~(X!1 = cell16))), introduced(assumption)).
% 0.58/0.76 tff(1894,assumption,((~(Y!0 = cell7)) | (~(X!1 = cell17))), introduced(assumption)).
% 0.58/0.76 tff(1895,assumption,((~(Y!0 = cell8)) | (~(X!1 = cell18))), introduced(assumption)).
% 0.58/0.76 tff(1896,assumption,((~(Y!0 = cell9)) | (~(X!1 = cell19))), introduced(assumption)).
% 0.58/0.76 tff(1897,assumption,((~(Y!0 = cell10)) | (~(X!1 = cell20))), introduced(assumption)).
% 0.58/0.76 tff(1898,assumption,((~(Y!0 = cell11)) | (~(X!1 = cell21))), introduced(assumption)).
% 0.58/0.76 tff(1899,assumption,((~(Y!0 = cell12)) | (~(X!1 = cell22))), introduced(assumption)).
% 0.58/0.76 tff(1900,assumption,((~(Y!0 = cell13)) | (~(X!1 = cell23))), introduced(assumption)).
% 0.58/0.76 tff(1901,assumption,((~(Y!0 = cell14)) | (~(X!1 = cell24))), introduced(assumption)).
% 0.58/0.76 tff(1902,assumption,((~(Y!0 = cell15)) | (~(X!1 = cell25))), introduced(assumption)).
% 0.58/0.76 tff(1903,assumption,((~(Y!0 = cell16)) | (~(X!1 = cell26))), introduced(assumption)).
% 0.58/0.76 tff(1904,assumption,((~(Y!0 = cell17)) | (~(X!1 = cell27))), introduced(assumption)).
% 0.58/0.76 tff(1905,assumption,((~(Y!0 = cell18)) | (~(X!1 = cell28))), introduced(assumption)).
% 0.58/0.76 tff(1906,assumption,((~(Y!0 = cell19)) | (~(X!1 = cell29))), introduced(assumption)).
% 0.58/0.76 tff(1907,assumption,((~(Y!0 = cell20)) | (~(X!1 = cell30))), introduced(assumption)).
% 0.58/0.76 tff(1908,assumption,((~(Y!0 = cell21)) | (~(X!1 = cell31))), introduced(assumption)).
% 0.58/0.76 tff(1909,assumption,((~(Y!0 = cell23)) | (~(X!1 = cell33))), introduced(assumption)).
% 0.58/0.76 tff(1910,assumption,((~(Y!0 = cell24)) | (~(X!1 = cell34))), introduced(assumption)).
% 0.58/0.76 tff(1911,assumption,((~(Y!0 = cell25)) | (~(X!1 = cell35))), introduced(assumption)).
% 0.58/0.76 tff(1912,assumption,((~(Y!0 = cell26)) | (~(X!1 = cell36))), introduced(assumption)).
% 0.58/0.76 tff(1913,assumption,((~(Y!0 = cell27)) | (~(X!1 = cell37))), introduced(assumption)).
% 0.58/0.76 tff(1914,assumption,((~(Y!0 = cell28)) | (~(X!1 = cell38))), introduced(assumption)).
% 0.58/0.76 tff(1915,assumption,((~(Y!0 = cell29)) | (~(X!1 = cell39))), introduced(assumption)).
% 0.58/0.76 tff(1916,assumption,((~(Y!0 = cell30)) | (~(X!1 = cell40))), introduced(assumption)).
% 0.58/0.76 tff(1917,assumption,((~(Y!0 = cell31)) | (~(X!1 = cell41))), introduced(assumption)).
% 0.58/0.76 tff(1918,assumption,((~(Y!0 = cell32)) | (~(X!1 = cell42))), introduced(assumption)).
% 0.58/0.76 tff(1919,assumption,((~(Y!0 = cell33)) | (~(X!1 = cell43))), introduced(assumption)).
% 0.58/0.76 tff(1920,assumption,((~(Y!0 = cell34)) | (~(X!1 = cell44))), introduced(assumption)).
% 0.58/0.76 tff(1921,assumption,((~(Y!0 = cell35)) | (~(X!1 = cell45))), introduced(assumption)).
% 0.58/0.76 tff(1922,assumption,((~(Y!0 = cell36)) | (~(X!1 = cell46))), introduced(assumption)).
% 0.58/0.76 tff(1923,assumption,((~(Y!0 = cell37)) | (~(X!1 = cell47))), introduced(assumption)).
% 0.58/0.76 tff(1924,assumption,((~(Y!0 = cell38)) | (~(X!1 = cell48))), introduced(assumption)).
% 0.58/0.76 tff(1925,assumption,((~(Y!0 = cell39)) | (~(X!1 = cell49))), introduced(assumption)).
% 0.58/0.76 tff(1926,assumption,((~(Y!0 = cell40)) | (~(X!1 = cell50))), introduced(assumption)).
% 0.58/0.76 tff(1927,assumption,((~(Y!0 = cell41)) | (~(X!1 = cell51))), introduced(assumption)).
% 0.58/0.76 tff(1928,assumption,((~(Y!0 = cell42)) | (~(X!1 = cell52))), introduced(assumption)).
% 0.58/0.76 tff(1929,assumption,((~(Y!0 = cell43)) | (~(X!1 = cell53))), introduced(assumption)).
% 0.58/0.76 tff(1930,assumption,((~(Y!0 = cell44)) | (~(X!1 = cell54))), introduced(assumption)).
% 0.58/0.76 tff(1931,assumption,((~(Y!0 = cell45)) | (~(X!1 = cell55))), introduced(assumption)).
% 0.58/0.76 tff(1932,assumption,((~(Y!0 = cell46)) | (~(X!1 = cell56))), introduced(assumption)).
% 0.58/0.76 tff(1933,assumption,((~(Y!0 = cell47)) | (~(X!1 = cell57))), introduced(assumption)).
% 0.58/0.76 tff(1934,assumption,((~(Y!0 = cell48)) | (~(X!1 = cell58))), introduced(assumption)).
% 0.58/0.76 tff(1935,assumption,((~(Y!0 = cell49)) | (~(X!1 = cell59))), introduced(assumption)).
% 0.58/0.76 tff(1936,assumption,((~(Y!0 = cell50)) | (~(X!1 = cell60))), introduced(assumption)).
% 0.58/0.76 tff(1937,assumption,((~(Y!0 = cell51)) | (~(X!1 = cell61))), introduced(assumption)).
% 0.58/0.76 tff(1938,assumption,((~(Y!0 = cell52)) | (~(X!1 = cell62))), introduced(assumption)).
% 0.58/0.76 tff(1939,assumption,((~(Y!0 = cell53)) | (~(X!1 = cell63))), introduced(assumption)).
% 0.58/0.76 tff(1940,assumption,((~(Y!0 = cell54)) | (~(X!1 = cell64))), introduced(assumption)).
% 0.58/0.76 tff(1941,assumption,((~(Y!0 = cell55)) | (~(X!1 = cell65))), introduced(assumption)).
% 0.58/0.76 tff(1942,assumption,((~(Y!0 = cell56)) | (~(X!1 = cell66))), introduced(assumption)).
% 0.58/0.76 tff(1943,assumption,((~(Y!0 = cell57)) | (~(X!1 = cell67))), introduced(assumption)).
% 0.58/0.76 tff(1944,assumption,((~(Y!0 = cell58)) | (~(X!1 = cell68))), introduced(assumption)).
% 0.58/0.76 tff(1945,assumption,((~(Y!0 = cell59)) | (~(X!1 = cell69))), introduced(assumption)).
% 0.58/0.76 tff(1946,assumption,((~(Y!0 = cell60)) | (~(X!1 = cell70))), introduced(assumption)).
% 0.58/0.76 tff(1947,assumption,((~(Y!0 = cell61)) | (~(X!1 = cell71))), introduced(assumption)).
% 0.58/0.76 tff(1948,assumption,((~(Y!0 = cell62)) | (~(X!1 = cell72))), introduced(assumption)).
% 0.58/0.76 tff(1949,assumption,((~(Y!0 = cell63)) | (~(X!1 = cell73))), introduced(assumption)).
% 0.58/0.76 tff(1950,assumption,((~(Y!0 = cell64)) | (~(X!1 = cell74))), introduced(assumption)).
% 0.58/0.76 tff(1951,assumption,((~(Y!0 = cell65)) | (~(X!1 = cell75))), introduced(assumption)).
% 0.58/0.76 tff(1952,assumption,((~(Y!0 = cell66)) | (~(X!1 = cell76))), introduced(assumption)).
% 0.58/0.76 tff(1953,assumption,((~(Y!0 = cell67)) | (~(X!1 = cell77))), introduced(assumption)).
% 0.58/0.76 tff(1954,assumption,((~(Y!0 = cell68)) | (~(X!1 = cell78))), introduced(assumption)).
% 0.58/0.76 tff(1955,assumption,((~(Y!0 = cell69)) | (~(X!1 = cell79))), introduced(assumption)).
% 0.58/0.76 tff(1956,assumption,((~(Y!0 = cell70)) | (~(X!1 = cell80))), introduced(assumption)).
% 0.58/0.76 tff(1957,assumption,((~(Y!0 = cell71)) | (~(X!1 = cell81))), introduced(assumption)).
% 0.58/0.76 tff(1958,assumption,((~(Y!0 = cell72)) | (~(X!1 = cell82))), introduced(assumption)).
% 0.58/0.76 tff(1959,assumption,((~(Y!0 = cell73)) | (~(X!1 = cell83))), introduced(assumption)).
% 0.58/0.76 tff(1960,assumption,((~(Y!0 = cell74)) | (~(X!1 = cell84))), introduced(assumption)).
% 0.58/0.76 tff(1961,assumption,((~(Y!0 = cell75)) | (~(X!1 = cell85))), introduced(assumption)).
% 0.58/0.76 tff(1962,assumption,((~(Y!0 = cell76)) | (~(X!1 = cell86))), introduced(assumption)).
% 0.58/0.76 tff(1963,assumption,((~(Y!0 = cell77)) | (~(X!1 = cell87))), introduced(assumption)).
% 0.58/0.76 tff(1964,assumption,((~(Y!0 = cell78)) | (~(X!1 = cell88))), introduced(assumption)).
% 0.58/0.76 tff(1965,assumption,((~(Y!0 = cell88)) | (~(X!1 = cell98))), introduced(assumption)).
% 0.58/0.76 tff(1966,assumption,((~(Y!0 = cell80)) | (~(X!1 = cell90))), introduced(assumption)).
% 0.58/0.76 tff(1967,assumption,((~(Y!0 = cell81)) | (~(X!1 = cell91))), introduced(assumption)).
% 0.58/0.76 tff(1968,assumption,((~(Y!0 = cell82)) | (~(X!1 = cell92))), introduced(assumption)).
% 0.58/0.76 tff(1969,assumption,((~(Y!0 = cell83)) | (~(X!1 = cell93))), introduced(assumption)).
% 0.58/0.76 tff(1970,assumption,((~(Y!0 = cell84)) | (~(X!1 = cell94))), introduced(assumption)).
% 0.58/0.76 tff(1971,assumption,((~(Y!0 = cell85)) | (~(X!1 = cell95))), introduced(assumption)).
% 0.58/0.76 tff(1972,assumption,((~(Y!0 = cell86)) | (~(X!1 = cell96))), introduced(assumption)).
% 0.58/0.76 tff(1973,assumption,((~(Y!0 = cell1)) | (~(X!1 = cell2))), introduced(assumption)).
% 0.58/0.76 tff(1974,assumption,((~(Y!0 = cell79)) | (~(X!1 = cell80))), introduced(assumption)).
% 0.58/0.76 tff(1975,plain,
% 0.58/0.76 ((cell3 = Y!0) <=> (Y!0 = cell3)),
% 0.58/0.76 inference(commutativity,[status(thm)],[])).
% 0.58/0.76 tff(1976,assumption,(~oxygen(cell88)), introduced(assumption)).
% 0.58/0.76 tff(1977,assumption,(cell90 = Y!0), introduced(assumption)).
% 0.58/0.77 tff(1978,plain,
% 0.58/0.77 ((cell14 = cell90) <=> (cell14 = Y!0)),
% 0.58/0.77 inference(monotonicity,[status(thm)],[1977])).
% 0.58/0.77 tff(1979,plain,
% 0.58/0.77 ((cell14 = cell90) <=> (Y!0 = cell14)),
% 0.58/0.77 inference(transitivity,[status(thm)],[1978, 1798])).
% 0.58/0.77 tff(1980,plain,
% 0.58/0.77 ((~(cell14 = cell90)) <=> (~(Y!0 = cell14))),
% 0.58/0.77 inference(monotonicity,[status(thm)],[1979])).
% 0.58/0.77 tff(1981,plain,
% 0.58/0.77 ((~(cell14 = cell90)) <=> (~(cell14 = cell90))),
% 0.58/0.77 inference(rewrite,[status(thm)],[])).
% 0.58/0.77 tff(1982,axiom,(~(cell14 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49753')).
% 0.58/0.77 tff(1983,plain,
% 0.58/0.77 (~(cell14 = cell90)),
% 0.58/0.77 inference(modus_ponens,[status(thm)],[1982, 1981])).
% 0.58/0.77 tff(1984,plain,
% 0.58/0.77 (~(Y!0 = cell14)),
% 0.58/0.77 inference(modus_ponens,[status(thm)],[1983, 1980])).
% 0.58/0.77 tff(1985,plain,
% 0.58/0.77 (((~(X!1 = cell13)) | (~(Y!0 = cell14))) | (Y!0 = cell14)),
% 0.58/0.77 inference(tautology,[status(thm)],[])).
% 0.58/0.77 tff(1986,plain,
% 0.58/0.77 ((~(X!1 = cell13)) | (~(Y!0 = cell14))),
% 0.58/0.77 inference(unit_resolution,[status(thm)],[1985, 1984])).
% 0.58/0.77 tff(1987,assumption,((~(X!1 = cell13)) | (~(Y!0 = cell23))), introduced(assumption)).
% 0.60/0.77 tff(1988,plain,
% 0.60/0.77 ((cell3 = cell90) <=> (cell3 = Y!0)),
% 0.60/0.77 inference(monotonicity,[status(thm)],[1977])).
% 0.60/0.77 tff(1989,plain,
% 0.60/0.77 ((cell3 = cell90) <=> (Y!0 = cell3)),
% 0.60/0.77 inference(transitivity,[status(thm)],[1988, 1975])).
% 0.60/0.77 tff(1990,plain,
% 0.60/0.77 ((~(cell3 = cell90)) <=> (~(Y!0 = cell3))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[1989])).
% 0.60/0.77 tff(1991,plain,
% 0.60/0.77 ((~(cell3 = cell90)) <=> (~(cell3 = cell90))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(1992,axiom,(~(cell3 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49869')).
% 0.60/0.77 tff(1993,plain,
% 0.60/0.77 (~(cell3 = cell90)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[1992, 1991])).
% 0.60/0.77 tff(1994,plain,
% 0.60/0.77 (~(Y!0 = cell3)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[1993, 1990])).
% 0.60/0.77 tff(1995,plain,
% 0.60/0.77 (((~(Y!0 = cell3)) | (~(X!1 = cell13))) | (Y!0 = cell3)),
% 0.60/0.77 inference(tautology,[status(thm)],[])).
% 0.60/0.77 tff(1996,plain,
% 0.60/0.77 ((~(Y!0 = cell3)) | (~(X!1 = cell13))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[1995, 1994])).
% 0.60/0.77 tff(1997,plain,
% 0.60/0.77 ((cell90 = cell12) <=> (Y!0 = cell12)),
% 0.60/0.77 inference(monotonicity,[status(thm)],[1977])).
% 0.60/0.77 tff(1998,plain,
% 0.60/0.77 ((~(cell90 = cell12)) <=> (~(Y!0 = cell12))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[1997])).
% 0.60/0.77 tff(1999,plain,
% 0.60/0.77 ((~(cell90 = cell12)) <=> (~(cell90 = cell12))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(2000,axiom,(~(cell90 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49911')).
% 0.60/0.77 tff(2001,plain,
% 0.60/0.77 (~(cell90 = cell12)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2000, 1999])).
% 0.60/0.77 tff(2002,plain,
% 0.60/0.77 (~(Y!0 = cell12)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2001, 1998])).
% 0.60/0.77 tff(2003,plain,
% 0.60/0.77 (((~(Y!0 = cell12)) | (~(X!1 = cell13))) | (Y!0 = cell12)),
% 0.60/0.77 inference(tautology,[status(thm)],[])).
% 0.60/0.77 tff(2004,plain,
% 0.60/0.77 ((~(Y!0 = cell12)) | (~(X!1 = cell13))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[2003, 2002])).
% 0.60/0.77 tff(2005,assumption,(Y!0 = cell22), introduced(assumption)).
% 0.60/0.77 tff(2006,plain,
% 0.60/0.77 (cell22 = Y!0),
% 0.60/0.77 inference(symmetry,[status(thm)],[2005])).
% 0.60/0.77 tff(2007,plain,
% 0.60/0.77 (oxygen(cell22) <=> oxygen(Y!0)),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2006])).
% 0.60/0.77 tff(2008,plain,
% 0.60/0.77 (oxygen(Y!0) <=> oxygen(cell22)),
% 0.60/0.77 inference(symmetry,[status(thm)],[2007])).
% 0.60/0.77 tff(2009,plain,
% 0.60/0.77 (oxygen(cell22)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[1536, 2008])).
% 0.60/0.77 tff(2010,assumption,(~oxygen(cell22)), introduced(assumption)).
% 0.60/0.77 tff(2011,plain,
% 0.60/0.77 ($false),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[2010, 2009])).
% 0.60/0.77 tff(2012,plain,(oxygen(cell22) | (~(Y!0 = cell22))), inference(lemma,lemma(discharge,[]))).
% 0.60/0.77 tff(2013,plain,
% 0.60/0.77 (oxygen(cell22)),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[2012, 2005])).
% 0.60/0.77 tff(2014,plain,
% 0.60/0.77 ((~(cell89 = cell22)) <=> (~(cell89 = cell22))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(2015,axiom,(~(cell89 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49894')).
% 0.60/0.77 tff(2016,plain,
% 0.60/0.77 (~(cell89 = cell22)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2015, 2014])).
% 0.60/0.77 tff(2017,assumption,(oxygen(cell22)), introduced(assumption)).
% 0.60/0.77 tff(2018,plain,
% 0.60/0.77 ((~(cell99 = cell22)) <=> (~(cell99 = cell22))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(2019,axiom,(~(cell99 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49920')).
% 0.60/0.77 tff(2020,plain,
% 0.60/0.77 (~(cell99 = cell22)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2019, 2018])).
% 0.60/0.77 tff(2021,plain,
% 0.60/0.77 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell99 = cell22) | (~oxygen(cell99)) | (~oxygen(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell99 = cell22) | (~oxygen(cell99)) | (~oxygen(cell22)))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(2022,plain,
% 0.60/0.77 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell99 = cell22) | (~oxygen(cell99)) | (~oxygen(cell22)))),
% 0.60/0.77 inference(quant_inst,[status(thm)],[])).
% 0.60/0.77 tff(2023,plain,
% 0.60/0.77 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell99 = cell22) | (~oxygen(cell99)) | (~oxygen(cell22))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2022, 2021])).
% 0.60/0.77 tff(2024,plain,
% 0.60/0.77 ($false),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[2023, 1562, 1557, 2020, 2017])).
% 0.60/0.77 tff(2025,plain,((~oxygen(cell99)) | (~oxygen(cell22))), inference(lemma,lemma(discharge,[]))).
% 0.60/0.77 tff(2026,plain,
% 0.60/0.77 (~oxygen(cell99)),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[2025, 2013])).
% 0.60/0.77 tff(2027,plain,
% 0.60/0.77 ((cell90 = cell22) <=> (cell90 = Y!0)),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2006])).
% 0.60/0.77 tff(2028,plain,
% 0.60/0.77 ((cell90 = cell22) <=> (Y!0 = cell90)),
% 0.60/0.77 inference(transitivity,[status(thm)],[2027, 1572])).
% 0.60/0.77 tff(2029,plain,
% 0.60/0.77 ((cell90 = cell22) <=> (cell90 = Y!0)),
% 0.60/0.77 inference(transitivity,[status(thm)],[2028, 1573])).
% 0.60/0.77 tff(2030,plain,
% 0.60/0.77 ((~(cell90 = cell22)) <=> (~(cell90 = Y!0))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2029])).
% 0.60/0.77 tff(2031,plain,
% 0.60/0.77 ((~(cell90 = cell22)) <=> (~(cell90 = cell22))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(2032,axiom,(~(cell90 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49915')).
% 0.60/0.77 tff(2033,plain,
% 0.60/0.77 (~(cell90 = cell22)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2032, 2031])).
% 0.60/0.77 tff(2034,plain,
% 0.60/0.77 (~(cell90 = Y!0)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2033, 2030])).
% 0.60/0.77 tff(2035,plain,
% 0.60/0.77 (~oxygen(cell90)),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[1590, 2034])).
% 0.60/0.77 tff(2036,plain,
% 0.60/0.77 ((cell79 = Y!0) <=> (Y!0 = cell79)),
% 0.60/0.77 inference(commutativity,[status(thm)],[])).
% 0.60/0.77 tff(2037,plain,
% 0.60/0.77 ((Y!0 = cell79) <=> (cell79 = Y!0)),
% 0.60/0.77 inference(symmetry,[status(thm)],[2036])).
% 0.60/0.77 tff(2038,plain,
% 0.60/0.77 ((cell79 = cell22) <=> (cell79 = Y!0)),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2006])).
% 0.60/0.77 tff(2039,plain,
% 0.60/0.77 ((cell79 = cell22) <=> (Y!0 = cell79)),
% 0.60/0.77 inference(transitivity,[status(thm)],[2038, 2036])).
% 0.60/0.77 tff(2040,plain,
% 0.60/0.77 ((cell79 = cell22) <=> (cell79 = Y!0)),
% 0.60/0.77 inference(transitivity,[status(thm)],[2039, 2037])).
% 0.60/0.77 tff(2041,plain,
% 0.60/0.77 ((~(cell79 = cell22)) <=> (~(cell79 = Y!0))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2040])).
% 0.60/0.77 tff(2042,plain,
% 0.60/0.77 ((~(cell79 = cell22)) <=> (~(cell79 = cell22))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(2043,axiom,(~(cell79 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49909')).
% 0.60/0.77 tff(2044,plain,
% 0.60/0.77 (~(cell79 = cell22)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2043, 2042])).
% 0.60/0.77 tff(2045,plain,
% 0.60/0.77 (~(cell79 = Y!0)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2044, 2041])).
% 0.60/0.77 tff(2046,assumption,(~(cell79 = Y!0)), introduced(assumption)).
% 0.60/0.77 tff(2047,assumption,(oxygen(cell79)), introduced(assumption)).
% 0.60/0.77 tff(2048,plain,
% 0.60/0.77 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((~oxygen(Y!0)) | (cell79 = Y!0) | (~oxygen(cell79)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (~oxygen(Y!0)) | (cell79 = Y!0) | (~oxygen(cell79)))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(2049,plain,
% 0.60/0.77 (((cell79 = Y!0) | (~oxygen(cell79)) | (~oxygen(Y!0))) <=> ((~oxygen(Y!0)) | (cell79 = Y!0) | (~oxygen(cell79)))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(2050,plain,
% 0.60/0.77 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell79 = Y!0) | (~oxygen(cell79)) | (~oxygen(Y!0)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((~oxygen(Y!0)) | (cell79 = Y!0) | (~oxygen(cell79))))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[2049])).
% 0.60/0.77 tff(2051,plain,
% 0.60/0.77 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell79 = Y!0) | (~oxygen(cell79)) | (~oxygen(Y!0)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (~oxygen(Y!0)) | (cell79 = Y!0) | (~oxygen(cell79)))),
% 0.60/0.77 inference(transitivity,[status(thm)],[2050, 2048])).
% 0.60/0.77 tff(2052,plain,
% 0.60/0.77 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell79 = Y!0) | (~oxygen(cell79)) | (~oxygen(Y!0)))),
% 0.60/0.77 inference(quant_inst,[status(thm)],[])).
% 0.60/0.77 tff(2053,plain,
% 0.60/0.77 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (~oxygen(Y!0)) | (cell79 = Y!0) | (~oxygen(cell79))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2052, 2051])).
% 0.60/0.77 tff(2054,plain,
% 0.60/0.77 ($false),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[2053, 2047, 1557, 1536, 2046])).
% 0.60/0.77 tff(2055,plain,((~oxygen(cell79)) | (cell79 = Y!0)), inference(lemma,lemma(discharge,[]))).
% 0.60/0.77 tff(2056,plain,
% 0.60/0.77 (~oxygen(cell79)),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[2055, 2045])).
% 0.60/0.77 tff(2057,plain,
% 0.60/0.77 ((~(cell88 = cell22)) <=> (~(cell88 = cell22))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(2058,axiom,(~(cell88 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49902')).
% 0.60/0.77 tff(2059,plain,
% 0.60/0.77 (~(cell88 = cell22)),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2058, 2057])).
% 0.60/0.77 tff(2060,plain,
% 0.60/0.77 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell88 = cell22) | (~oxygen(cell88)) | (~oxygen(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell88 = cell22) | (~oxygen(cell88)) | (~oxygen(cell22)))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(2061,plain,
% 0.60/0.77 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell88 = cell22) | (~oxygen(cell88)) | (~oxygen(cell22)))),
% 0.60/0.77 inference(quant_inst,[status(thm)],[])).
% 0.60/0.77 tff(2062,plain,
% 0.60/0.77 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell88 = cell22) | (~oxygen(cell88)) | (~oxygen(cell22))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2061, 2060])).
% 0.60/0.77 tff(2063,plain,
% 0.60/0.77 ($false),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[2062, 1595, 1557, 2059, 2017])).
% 0.60/0.77 tff(2064,plain,((~oxygen(cell88)) | (~oxygen(cell22))), inference(lemma,lemma(discharge,[]))).
% 0.60/0.77 tff(2065,plain,
% 0.60/0.77 (~oxygen(cell88)),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[2064, 2013])).
% 0.60/0.77 tff(2066,plain,
% 0.60/0.77 (oxygen(cell89)),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[1621, 2065, 2056, 2035, 2026])).
% 0.60/0.77 tff(2067,plain,
% 0.60/0.77 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell89 = cell22) | (~oxygen(cell89)) | (~oxygen(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell89 = cell22) | (~oxygen(cell89)) | (~oxygen(cell22)))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(2068,plain,
% 0.60/0.77 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell89 = cell22) | (~oxygen(cell89)) | (~oxygen(cell22)))),
% 0.60/0.77 inference(quant_inst,[status(thm)],[])).
% 0.60/0.77 tff(2069,plain,
% 0.60/0.77 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell89 = cell22) | (~oxygen(cell89)) | (~oxygen(cell22))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[2068, 2067])).
% 0.60/0.77 tff(2070,plain,
% 0.60/0.77 ($false),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[2069, 2066, 1557, 2016, 2013])).
% 0.60/0.77 tff(2071,plain,(~(Y!0 = cell22)), inference(lemma,lemma(discharge,[]))).
% 0.60/0.77 tff(2072,plain,
% 0.60/0.77 (((~(X!1 = cell21)) | (~(Y!0 = cell22))) | (Y!0 = cell22)),
% 0.60/0.77 inference(tautology,[status(thm)],[])).
% 0.60/0.77 tff(2073,plain,
% 0.60/0.77 ((~(X!1 = cell21)) | (~(Y!0 = cell22))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[2072, 2071])).
% 0.60/0.77 tff(2074,plain,
% 0.60/0.77 (((~(X!1 = cell12)) | (~(Y!0 = cell22))) | (Y!0 = cell22)),
% 0.60/0.77 inference(tautology,[status(thm)],[])).
% 0.60/0.77 tff(2075,plain,
% 0.60/0.77 ((~(X!1 = cell12)) | (~(Y!0 = cell22))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[2074, 2071])).
% 0.60/0.77 tff(2076,plain,
% 0.60/0.77 (((~(Y!0 = cell22)) | (~(X!1 = cell23))) | (Y!0 = cell22)),
% 0.60/0.77 inference(tautology,[status(thm)],[])).
% 0.60/0.77 tff(2077,plain,
% 0.60/0.77 ((~(Y!0 = cell22)) | (~(X!1 = cell23))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[2076, 2071])).
% 0.60/0.77 tff(2078,plain,
% 0.60/0.77 (((~(Y!0 = cell22)) | (~(X!1 = cell32))) | (Y!0 = cell22)),
% 0.60/0.77 inference(tautology,[status(thm)],[])).
% 0.60/0.77 tff(2079,plain,
% 0.60/0.77 ((~(Y!0 = cell22)) | (~(X!1 = cell32))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[2078, 2071])).
% 0.60/0.77 tff(2080,plain,
% 0.60/0.77 ((cell1 = Y!0) <=> (Y!0 = cell1)),
% 0.60/0.77 inference(commutativity,[status(thm)],[])).
% 0.60/0.77 tff(2081,plain,
% 0.60/0.77 ((cell1 = cell90) <=> (cell1 = Y!0)),
% 0.60/0.77 inference(monotonicity,[status(thm)],[1977])).
% 0.60/0.77 tff(2082,plain,
% 0.60/0.77 ((cell1 = cell90) <=> (Y!0 = cell1)),
% 0.60/0.77 inference(transitivity,[status(thm)],[2081, 2080])).
% 0.60/0.77 tff(2083,plain,
% 0.60/0.77 ((Y!0 = cell1) <=> (cell1 = cell90)),
% 0.60/0.77 inference(symmetry,[status(thm)],[2082])).
% 0.60/0.77 tff(2084,assumption,((~(Y!0 = cell12)) | (~(X!1 = cell13))), introduced(assumption)).
% 0.60/0.77 tff(2085,assumption,((~(Y!0 = cell22)) | (~(X!1 = cell23))), introduced(assumption)).
% 0.60/0.77 tff(2086,assumption,((~(Y!0 = cell3)) | (~(X!1 = cell13))), introduced(assumption)).
% 0.60/0.77 tff(2087,assumption,((~(Y!0 = cell22)) | (~(X!1 = cell32))), introduced(assumption)).
% 0.60/0.77 tff(2088,assumption,(~(edge(X!1, Y!0) <=> ((~((~(X!1 = cell90)) | (~(Y!0 = cell100)))) | (~((~(X!1 = cell89)) | (~(Y!0 = cell99)))) | (~((~(X!1 = cell88)) | (~(Y!0 = cell98)))) | (~((~(X!1 = cell87)) | (~(Y!0 = cell97)))) | (~((~(X!1 = cell86)) | (~(Y!0 = cell96)))) | (~((~(X!1 = cell85)) | (~(Y!0 = cell95)))) | (~((~(X!1 = cell84)) | (~(Y!0 = cell94)))) | (~((~(X!1 = cell83)) | (~(Y!0 = cell93)))) | (~((~(X!1 = cell82)) | (~(Y!0 = cell92)))) | (~((~(X!1 = cell81)) | (~(Y!0 = cell91)))) | (~((~(X!1 = cell80)) | (~(Y!0 = cell90)))) | (~((~(X!1 = cell79)) | (~(Y!0 = cell89)))) | (~((~(X!1 = cell78)) | (~(Y!0 = cell88)))) | (~((~(X!1 = cell77)) | (~(Y!0 = cell87)))) | (~((~(X!1 = cell76)) | (~(Y!0 = cell86)))) | (~((~(X!1 = cell75)) | (~(Y!0 = cell85)))) | (~((~(X!1 = cell74)) | (~(Y!0 = cell84)))) | (~((~(X!1 = cell73)) | (~(Y!0 = cell83)))) | (~((~(X!1 = cell72)) | (~(Y!0 = cell82)))) | (~((~(X!1 = cell71)) | (~(Y!0 = cell81)))) | (~((~(X!1 = cell70)) | (~(Y!0 = cell80)))) | (~((~(X!1 = cell69)) | (~(Y!0 = cell79)))) | (~((~(X!1 = cell68)) | (~(Y!0 = cell78)))) | (~((~(X!1 = cell67)) | (~(Y!0 = cell77)))) | (~((~(X!1 = cell66)) | (~(Y!0 = cell76)))) | (~((~(X!1 = cell65)) | (~(Y!0 = cell75)))) | (~((~(X!1 = cell64)) | (~(Y!0 = cell74)))) | (~((~(X!1 = cell63)) | (~(Y!0 = cell73)))) | (~((~(X!1 = cell62)) | (~(Y!0 = cell72)))) | (~((~(X!1 = cell61)) | (~(Y!0 = cell71)))) | (~((~(X!1 = cell60)) | (~(Y!0 = cell70)))) | (~((~(X!1 = cell59)) | (~(Y!0 = cell69)))) | (~((~(X!1 = cell58)) | (~(Y!0 = cell68)))) | (~((~(X!1 = cell57)) | (~(Y!0 = cell67)))) | (~((~(X!1 = cell56)) | (~(Y!0 = cell66)))) | (~((~(X!1 = cell55)) | (~(Y!0 = cell65)))) | (~((~(X!1 = cell54)) | (~(Y!0 = cell64)))) | (~((~(X!1 = cell53)) | (~(Y!0 = cell63)))) | (~((~(X!1 = cell52)) | (~(Y!0 = cell62)))) | (~((~(X!1 = cell51)) | (~(Y!0 = cell61)))) | (~((~(X!1 = cell50)) | (~(Y!0 = cell60)))) | (~((~(X!1 = cell49)) | (~(Y!0 = cell59)))) | (~((~(X!1 = cell48)) | (~(Y!0 = cell58)))) | (~((~(X!1 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| (~(Y!0 = cell35)))) | (~((~(X!1 = cell24)) | (~(Y!0 = cell34)))) | (~((~(X!1 = cell23)) | (~(Y!0 = cell33)))) | (~((~(X!1 = cell22)) | (~(Y!0 = cell32)))) | (~((~(X!1 = cell21)) | (~(Y!0 = cell31)))) | (~((~(X!1 = cell20)) | (~(Y!0 = cell30)))) | (~((~(X!1 = cell19)) | (~(Y!0 = cell29)))) | (~((~(X!1 = cell18)) | (~(Y!0 = cell28)))) | (~((~(X!1 = cell17)) | (~(Y!0 = cell27)))) | (~((~(X!1 = cell16)) | (~(Y!0 = cell26)))) | (~((~(X!1 = cell15)) | (~(Y!0 = cell25)))) | (~((~(X!1 = cell14)) | (~(Y!0 = cell24)))) | (~((~(X!1 = cell13)) | (~(Y!0 = cell23)))) | (~((~(X!1 = cell12)) | (~(Y!0 = cell22)))) | (~((~(X!1 = cell11)) | (~(Y!0 = cell21)))) | (~((~(X!1 = cell10)) | (~(Y!0 = cell20)))) | (~((~(X!1 = cell9)) | (~(Y!0 = cell19)))) | (~((~(X!1 = cell8)) | (~(Y!0 = cell18)))) | (~((~(X!1 = cell7)) | (~(Y!0 = cell17)))) | (~((~(X!1 = cell6)) | (~(Y!0 = cell16)))) | (~((~(X!1 = cell5)) | (~(Y!0 = cell15)))) | (~((~(X!1 = cell4)) | (~(Y!0 = cell14)))) | (~((~(X!1 = cell3)) | (~(Y!0 = 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| (~((~(X!1 = cell77)) | (~(Y!0 = cell78)))) | (~((~(X!1 = cell76)) | (~(Y!0 = cell77)))) | (~((~(X!1 = cell75)) | (~(Y!0 = cell76)))) | (~((~(X!1 = cell74)) | (~(Y!0 = cell75)))) | (~((~(X!1 = cell73)) | (~(Y!0 = cell74)))) | (~((~(X!1 = cell72)) | (~(Y!0 = cell73)))) | (~((~(X!1 = cell71)) | (~(Y!0 = cell72)))) | (~((~(X!1 = cell69)) | (~(Y!0 = cell70)))) | (~((~(X!1 = cell68)) | (~(Y!0 = cell69)))) | (~((~(X!1 = cell67)) | (~(Y!0 = cell68)))) | (~((~(X!1 = cell66)) | (~(Y!0 = cell67)))) | (~((~(X!1 = cell65)) | (~(Y!0 = cell66)))) | (~((~(X!1 = cell64)) | (~(Y!0 = cell65)))) | (~((~(X!1 = cell63)) | (~(Y!0 = cell64)))) | (~((~(X!1 = cell62)) | (~(Y!0 = cell63)))) | (~((~(X!1 = cell61)) | (~(Y!0 = cell62)))) | (~((~(X!1 = cell59)) | (~(Y!0 = cell60)))) | (~((~(X!1 = cell58)) | (~(Y!0 = cell59)))) | (~((~(X!1 = cell57)) | (~(Y!0 = cell58)))) | (~((~(X!1 = cell56)) | (~(Y!0 = cell57)))) | (~((~(X!1 = cell55)) | (~(Y!0 = cell56)))) | (~((~(X!1 = cell54)) | (~(Y!0 = cell55)))) | 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% 0.60/0.78 tff(2089,plain,
% 0.60/0.78 (^[TLH44974: $i, TLH44975: $i] : refl((edge(TLH44975, TLH44974) <=> ((~((~(TLH44975 = cell90)) | (~(TLH44974 = cell100)))) | (~((~(TLH44975 = cell89)) | (~(TLH44974 = cell99)))) | (~((~(TLH44975 = cell88)) | (~(TLH44974 = cell98)))) | (~((~(TLH44975 = cell87)) | (~(TLH44974 = cell97)))) | (~((~(TLH44975 = cell86)) | (~(TLH44974 = cell96)))) | (~((~(TLH44975 = cell85)) | (~(TLH44974 = cell95)))) | (~((~(TLH44975 = cell84)) | (~(TLH44974 = cell94)))) | (~((~(TLH44975 = cell83)) | (~(TLH44974 = cell93)))) | (~((~(TLH44975 = cell82)) | (~(TLH44974 = cell92)))) | (~((~(TLH44975 = cell81)) | (~(TLH44974 = cell91)))) | (~((~(TLH44975 = cell80)) | (~(TLH44974 = cell90)))) | (~((~(TLH44975 = cell79)) | (~(TLH44974 = cell89)))) | (~((~(TLH44975 = cell78)) | (~(TLH44974 = cell88)))) | (~((~(TLH44975 = cell77)) | (~(TLH44974 = cell87)))) | (~((~(TLH44975 = cell76)) | (~(TLH44974 = cell86)))) | (~((~(TLH44975 = cell75)) | (~(TLH44974 = cell85)))) | (~((~(TLH44975 = cell74)) | (~(TLH44974 = cell84)))) | (~((~(TLH44975 = cell73)) | (~(TLH44974 = cell83)))) | (~((~(TLH44975 = cell72)) | (~(TLH44974 = cell82)))) | (~((~(TLH44975 = cell71)) | (~(TLH44974 = cell81)))) | (~((~(TLH44975 = cell70)) | (~(TLH44974 = cell80)))) | (~((~(TLH44975 = cell69)) | (~(TLH44974 = cell79)))) | (~((~(TLH44975 = cell68)) | (~(TLH44974 = cell78)))) | (~((~(TLH44975 = cell67)) | (~(TLH44974 = cell77)))) | (~((~(TLH44975 = cell66)) | (~(TLH44974 = cell76)))) | (~((~(TLH44975 = cell65)) | (~(TLH44974 = cell75)))) | (~((~(TLH44975 = cell64)) | (~(TLH44974 = cell74)))) | (~((~(TLH44975 = cell63)) | (~(TLH44974 = cell73)))) | (~((~(TLH44975 = cell62)) | (~(TLH44974 = cell72)))) | (~((~(TLH44975 = cell61)) | (~(TLH44974 = cell71)))) | (~((~(TLH44975 = cell60)) | (~(TLH44974 = cell70)))) | (~((~(TLH44975 = cell59)) | (~(TLH44974 = cell69)))) | (~((~(TLH44975 = cell58)) | (~(TLH44974 = cell68)))) | (~((~(TLH44975 = cell57)) | (~(TLH44974 = cell67)))) | (~((~(TLH44975 = cell56)) | (~(TLH44974 = cell66)))) | (~((~(TLH44975 = cell55)) | (~(TLH44974 = cell65)))) | (~((~(TLH44975 = cell54)) | (~(TLH44974 = cell64)))) | (~((~(TLH44975 = cell53)) | (~(TLH44974 = cell63)))) | (~((~(TLH44975 = cell52)) | (~(TLH44974 = cell62)))) | (~((~(TLH44975 = cell51)) | (~(TLH44974 = cell61)))) | (~((~(TLH44975 = cell50)) | (~(TLH44974 = cell60)))) | (~((~(TLH44975 = cell49)) | (~(TLH44974 = cell59)))) | (~((~(TLH44975 = cell48)) | (~(TLH44974 = cell58)))) | (~((~(TLH44975 = cell47)) | (~(TLH44974 = cell57)))) | (~((~(TLH44975 = cell46)) | (~(TLH44974 = cell56)))) | (~((~(TLH44975 = cell45)) | (~(TLH44974 = cell55)))) | (~((~(TLH44975 = cell44)) | (~(TLH44974 = cell54)))) | (~((~(TLH44975 = cell43)) | (~(TLH44974 = cell53)))) | (~((~(TLH44975 = cell42)) | (~(TLH44974 = cell52)))) | (~((~(TLH44975 = cell41)) | (~(TLH44974 = cell51)))) | (~((~(TLH44975 = cell40)) | (~(TLH44974 = cell50)))) | (~((~(TLH44975 = cell39)) | (~(TLH44974 = cell49)))) | (~((~(TLH44975 = cell38)) | (~(TLH44974 = cell48)))) | (~((~(TLH44975 = cell37)) | (~(TLH44974 = cell47)))) | (~((~(TLH44975 = cell36)) | (~(TLH44974 = cell46)))) | (~((~(TLH44975 = cell35)) | (~(TLH44974 = cell45)))) | (~((~(TLH44975 = cell34)) | (~(TLH44974 = cell44)))) | (~((~(TLH44975 = cell33)) | (~(TLH44974 = cell43)))) | (~((~(TLH44975 = cell32)) | (~(TLH44974 = cell42)))) | (~((~(TLH44975 = cell31)) | (~(TLH44974 = cell41)))) | (~((~(TLH44975 = cell30)) | (~(TLH44974 = cell40)))) | (~((~(TLH44975 = cell29)) | (~(TLH44974 = cell39)))) | (~((~(TLH44975 = cell28)) | (~(TLH44974 = cell38)))) | (~((~(TLH44975 = cell27)) | (~(TLH44974 = cell37)))) | (~((~(TLH44975 = cell26)) | (~(TLH44974 = cell36)))) | (~((~(TLH44975 = cell25)) | (~(TLH44974 = cell35)))) | (~((~(TLH44975 = cell24)) | (~(TLH44974 = cell34)))) | (~((~(TLH44975 = cell23)) | (~(TLH44974 = cell33)))) | (~((~(TLH44975 = cell22)) | (~(TLH44974 = cell32)))) | (~((~(TLH44975 = cell21)) | (~(TLH44974 = cell31)))) | (~((~(TLH44975 = cell20)) | (~(TLH44974 = cell30)))) | (~((~(TLH44975 = cell19)) | (~(TLH44974 = cell29)))) | (~((~(TLH44975 = cell18)) | (~(TLH44974 = cell28)))) | (~((~(TLH44975 = cell17)) | (~(TLH44974 = cell27)))) | (~((~(TLH44975 = cell16)) | (~(TLH44974 = cell26)))) | (~((~(TLH44975 = cell15)) | (~(TLH44974 = cell25)))) | (~((~(TLH44975 = cell14)) | (~(TLH44974 = cell24)))) | (~((~(TLH44975 = cell13)) | (~(TLH44974 = cell23)))) | (~((~(TLH44975 = cell12)) | (~(TLH44974 = cell22)))) | (~((~(TLH44975 = cell11)) | (~(TLH44974 = cell21)))) | (~((~(TLH44975 = cell10)) | (~(TLH44974 = cell20)))) | (~((~(TLH44975 = cell9)) | (~(TLH44974 = cell19)))) | (~((~(TLH44975 = cell8)) | (~(TLH44974 = cell18)))) | (~((~(TLH44975 = cell7)) | (~(TLH44974 = cell17)))) | (~((~(TLH44975 = cell6)) | (~(TLH44974 = cell16)))) | (~((~(TLH44975 = cell5)) | (~(TLH44974 = cell15)))) | (~((~(TLH44975 = cell4)) | (~(TLH44974 = cell14)))) | (~((~(TLH44975 = cell3)) | (~(TLH44974 = cell13)))) | (~((~(TLH44975 = cell2)) | (~(TLH44974 = cell12)))) | (~((~(TLH44975 = cell1)) | (~(TLH44974 = cell11)))) | (~((~(TLH44975 = cell99)) | (~(TLH44974 = cell100)))) | (~((~(TLH44975 = cell98)) | (~(TLH44974 = cell99)))) | (~((~(TLH44975 = cell97)) | (~(TLH44974 = cell98)))) | (~((~(TLH44975 = cell96)) | (~(TLH44974 = cell97)))) | (~((~(TLH44975 = cell95)) | (~(TLH44974 = cell96)))) | (~((~(TLH44975 = cell94)) | (~(TLH44974 = cell95)))) | (~((~(TLH44975 = cell93)) | (~(TLH44974 = cell94)))) | (~((~(TLH44975 = cell92)) | (~(TLH44974 = cell93)))) | (~((~(TLH44975 = cell91)) | (~(TLH44974 = cell92)))) | (~((~(TLH44975 = cell89)) | (~(TLH44974 = cell90)))) | (~((~(TLH44975 = cell88)) | (~(TLH44974 = cell89)))) | (~((~(TLH44975 = cell87)) | (~(TLH44974 = cell88)))) | (~((~(TLH44975 = cell86)) | (~(TLH44974 = cell87)))) | (~((~(TLH44975 = cell85)) | (~(TLH44974 = cell86)))) | (~((~(TLH44975 = cell84)) | (~(TLH44974 = cell85)))) | (~((~(TLH44975 = cell83)) | (~(TLH44974 = cell84)))) | (~((~(TLH44975 = cell82)) | (~(TLH44974 = cell83)))) 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% 0.60/0.79 inference(quant_intro,[status(thm)],[2089])).
% 0.60/0.79 tff(2091,plain,
% 0.60/0.79 (^[TLH44974: $i, TLH44975: $i] : rewrite((edge(TLH44975, TLH44974) <=> (((TLH44975 = cell90) & (TLH44974 = cell100)) | ((TLH44975 = cell89) & (TLH44974 = cell99)) | ((TLH44975 = cell88) & (TLH44974 = cell98)) | ((TLH44975 = cell87) & (TLH44974 = cell97)) | ((TLH44975 = cell86) & (TLH44974 = cell96)) | ((TLH44975 = cell85) & (TLH44974 = cell95)) | ((TLH44975 = cell84) & (TLH44974 = cell94)) | ((TLH44975 = cell83) & (TLH44974 = cell93)) | ((TLH44975 = cell82) & (TLH44974 = cell92)) | ((TLH44975 = cell81) & (TLH44974 = cell91)) | ((TLH44975 = cell80) & (TLH44974 = cell90)) | ((TLH44975 = cell79) & (TLH44974 = cell89)) | ((TLH44975 = cell78) & (TLH44974 = cell88)) | ((TLH44975 = cell77) & (TLH44974 = cell87)) | ((TLH44975 = cell76) & (TLH44974 = cell86)) | ((TLH44975 = cell75) & (TLH44974 = cell85)) | ((TLH44975 = cell74) & (TLH44974 = cell84)) | ((TLH44975 = cell73) & (TLH44974 = cell83)) | ((TLH44975 = cell72) & (TLH44974 = cell82)) | ((TLH44975 = cell71) & (TLH44974 = cell81)) | ((TLH44975 = cell70) & (TLH44974 = cell80)) | ((TLH44975 = cell69) & (TLH44974 = cell79)) | ((TLH44975 = cell68) & (TLH44974 = cell78)) | ((TLH44975 = cell67) & (TLH44974 = cell77)) | ((TLH44975 = cell66) & (TLH44974 = cell76)) | ((TLH44975 = cell65) & (TLH44974 = cell75)) | ((TLH44975 = cell64) & (TLH44974 = cell74)) | ((TLH44975 = cell63) & (TLH44974 = cell73)) | ((TLH44975 = cell62) & (TLH44974 = cell72)) | ((TLH44975 = cell61) & (TLH44974 = cell71)) | ((TLH44975 = cell60) & (TLH44974 = cell70)) | ((TLH44975 = cell59) & (TLH44974 = cell69)) | ((TLH44975 = cell58) & (TLH44974 = cell68)) | ((TLH44975 = cell57) & (TLH44974 = cell67)) | ((TLH44975 = cell56) & (TLH44974 = cell66)) | ((TLH44975 = cell55) & (TLH44974 = cell65)) | ((TLH44975 = cell54) & (TLH44974 = cell64)) | ((TLH44975 = cell53) & (TLH44974 = cell63)) | ((TLH44975 = cell52) & (TLH44974 = cell62)) | ((TLH44975 = cell51) & (TLH44974 = cell61)) | ((TLH44975 = cell50) & (TLH44974 = cell60)) | ((TLH44975 = cell49) & (TLH44974 = cell59)) | ((TLH44975 = cell48) & (TLH44974 = cell58)) | ((TLH44975 = cell47) & (TLH44974 = cell57)) | ((TLH44975 = cell46) & (TLH44974 = cell56)) | ((TLH44975 = cell45) & (TLH44974 = cell55)) | ((TLH44975 = cell44) & (TLH44974 = cell54)) | ((TLH44975 = cell43) & (TLH44974 = cell53)) | ((TLH44975 = cell42) & (TLH44974 = cell52)) | ((TLH44975 = cell41) & (TLH44974 = cell51)) | ((TLH44975 = cell40) & (TLH44974 = cell50)) | ((TLH44975 = cell39) & (TLH44974 = cell49)) | ((TLH44975 = cell38) & (TLH44974 = cell48)) | ((TLH44975 = cell37) & (TLH44974 = cell47)) | ((TLH44975 = cell36) & (TLH44974 = cell46)) | ((TLH44975 = cell35) & (TLH44974 = cell45)) | ((TLH44975 = cell34) & (TLH44974 = cell44)) | ((TLH44975 = cell33) & (TLH44974 = cell43)) | ((TLH44975 = cell32) & (TLH44974 = cell42)) | ((TLH44975 = cell31) & (TLH44974 = cell41)) | ((TLH44975 = cell30) & (TLH44974 = cell40)) | ((TLH44975 = cell29) & (TLH44974 = cell39)) | ((TLH44975 = cell28) & (TLH44974 = cell38)) | ((TLH44975 = cell27) & (TLH44974 = cell37)) | ((TLH44975 = cell26) & (TLH44974 = cell36)) | ((TLH44975 = cell25) & (TLH44974 = cell35)) | ((TLH44975 = cell24) & (TLH44974 = cell34)) | ((TLH44975 = cell23) & (TLH44974 = cell33)) | ((TLH44975 = cell22) & (TLH44974 = cell32)) | ((TLH44975 = cell21) & (TLH44974 = cell31)) | ((TLH44975 = cell20) & (TLH44974 = cell30)) | ((TLH44975 = cell19) & (TLH44974 = cell29)) | ((TLH44975 = cell18) & (TLH44974 = cell28)) | ((TLH44975 = cell17) & (TLH44974 = cell27)) | ((TLH44975 = cell16) & (TLH44974 = cell26)) | ((TLH44975 = cell15) & (TLH44974 = cell25)) | ((TLH44975 = cell14) & (TLH44974 = cell24)) | ((TLH44975 = cell13) & (TLH44974 = cell23)) | ((TLH44975 = cell12) & (TLH44974 = cell22)) | ((TLH44975 = cell11) & (TLH44974 = cell21)) | ((TLH44975 = cell10) & (TLH44974 = cell20)) | ((TLH44975 = cell9) & (TLH44974 = cell19)) | ((TLH44975 = cell8) & (TLH44974 = cell18)) | ((TLH44975 = cell7) & (TLH44974 = cell17)) | ((TLH44975 = cell6) & (TLH44974 = cell16)) | ((TLH44975 = cell5) & (TLH44974 = cell15)) | ((TLH44975 = cell4) & (TLH44974 = cell14)) | ((TLH44975 = cell3) & (TLH44974 = cell13)) | ((TLH44975 = cell2) & (TLH44974 = cell12)) | ((TLH44975 = cell1) & (TLH44974 = cell11)) | ((TLH44975 = cell99) & (TLH44974 = cell100)) | ((TLH44975 = cell98) & (TLH44974 = cell99)) | ((TLH44975 = cell97) & (TLH44974 = cell98)) | ((TLH44975 = cell96) & (TLH44974 = cell97)) | ((TLH44975 = cell95) & (TLH44974 = cell96)) | ((TLH44975 = cell94) & (TLH44974 = cell95)) | ((TLH44975 = cell93) & (TLH44974 = cell94)) | ((TLH44975 = cell92) & (TLH44974 = cell93)) | ((TLH44975 = cell91) & (TLH44974 = cell92)) | ((TLH44975 = cell89) & (TLH44974 = cell90)) | ((TLH44975 = cell88) & (TLH44974 = cell89)) | ((TLH44975 = cell87) & (TLH44974 = cell88)) | ((TLH44975 = cell86) & (TLH44974 = cell87)) | ((TLH44975 = cell85) & (TLH44974 = cell86)) | ((TLH44975 = cell84) & (TLH44974 = cell85)) | ((TLH44975 = cell83) & (TLH44974 = cell84)) | ((TLH44975 = cell82) & (TLH44974 = cell83)) | ((TLH44975 = cell81) & (TLH44974 = cell82)) | ((TLH44975 = cell79) & (TLH44974 = cell80)) | ((TLH44975 = cell78) & (TLH44974 = cell79)) | ((TLH44975 = cell77) & (TLH44974 = cell78)) | ((TLH44975 = cell76) & (TLH44974 = cell77)) | ((TLH44975 = cell75) & (TLH44974 = cell76)) | ((TLH44975 = cell74) & (TLH44974 = cell75)) | ((TLH44975 = cell73) & (TLH44974 = cell74)) | ((TLH44975 = cell72) & (TLH44974 = cell73)) | ((TLH44975 = cell71) & (TLH44974 = cell72)) | ((TLH44975 = cell69) & (TLH44974 = cell70)) | ((TLH44975 = cell68) & (TLH44974 = cell69)) | ((TLH44975 = cell67) & (TLH44974 = cell68)) | ((TLH44975 = cell66) & (TLH44974 = cell67)) | ((TLH44975 = cell65) & (TLH44974 = cell66)) | ((TLH44975 = cell64) & (TLH44974 = cell65)) | ((TLH44975 = cell63) & (TLH44974 = cell64)) | ((TLH44975 = cell62) & (TLH44974 = cell63)) | ((TLH44975 = cell61) & (TLH44974 = cell62)) | ((TLH44975 = cell59) & (TLH44974 = cell60)) | ((TLH44975 = cell58) & (TLH44974 = cell59)) | ((TLH44975 = cell57) & (TLH44974 = cell58)) | ((TLH44975 = cell56) & (TLH44974 = cell57)) | ((TLH44975 = cell55) & (TLH44974 = cell56)) | ((TLH44975 = cell54) & (TLH44974 = cell55)) | ((TLH44975 = cell53) & (TLH44974 = cell54)) | ((TLH44975 = cell52) & (TLH44974 = cell53)) | ((TLH44975 = cell51) & (TLH44974 = cell52)) | ((TLH44975 = cell49) & (TLH44974 = cell50)) | ((TLH44975 = cell48) & (TLH44974 = cell49)) | ((TLH44975 = cell47) & (TLH44974 = cell48)) | ((TLH44975 = cell46) & (TLH44974 = cell47)) | ((TLH44975 = cell45) & (TLH44974 = cell46)) | ((TLH44975 = cell44) & (TLH44974 = cell45)) | ((TLH44975 = cell43) & (TLH44974 = cell44)) | ((TLH44975 = cell42) & (TLH44974 = cell43)) | ((TLH44975 = cell41) & (TLH44974 = cell42)) | ((TLH44975 = cell39) & (TLH44974 = cell40)) | ((TLH44975 = cell38) & (TLH44974 = cell39)) | ((TLH44975 = cell37) & (TLH44974 = cell38)) | ((TLH44975 = cell36) & (TLH44974 = cell37)) | ((TLH44975 = cell35) & (TLH44974 = cell36)) | ((TLH44975 = cell34) & (TLH44974 = cell35)) | ((TLH44975 = cell33) & (TLH44974 = cell34)) | ((TLH44975 = cell32) & (TLH44974 = cell33)) | ((TLH44975 = cell31) & (TLH44974 = cell32)) | ((TLH44975 = cell29) & (TLH44974 = cell30)) | ((TLH44975 = cell28) & (TLH44974 = cell29)) | ((TLH44975 = cell27) & (TLH44974 = cell28)) | ((TLH44975 = cell26) & (TLH44974 = cell27)) | ((TLH44975 = cell25) & (TLH44974 = cell26)) | ((TLH44975 = cell24) & (TLH44974 = cell25)) | ((TLH44975 = cell23) & (TLH44974 = cell24)) | ((TLH44975 = cell22) & (TLH44974 = cell23)) | ((TLH44975 = cell21) & (TLH44974 = cell22)) | ((TLH44975 = cell19) & (TLH44974 = cell20)) | ((TLH44975 = cell18) & (TLH44974 = cell19)) | ((TLH44975 = cell17) & (TLH44974 = cell18)) | ((TLH44975 = cell16) & (TLH44974 = cell17)) | ((TLH44975 = cell15) & (TLH44974 = cell16)) | ((TLH44975 = cell14) & (TLH44974 = cell15)) | ((TLH44975 = cell13) & (TLH44974 = cell14)) | ((TLH44975 = cell12) & (TLH44974 = cell13)) | ((TLH44975 = cell11) & (TLH44974 = cell12)) | ((TLH44975 = cell9) & (TLH44974 = cell10)) | ((TLH44975 = cell8) & (TLH44974 = cell9)) | ((TLH44975 = cell7) & (TLH44974 = cell8)) | ((TLH44975 = cell6) & (TLH44974 = cell7)) | ((TLH44975 = cell5) & (TLH44974 = cell6)) | ((TLH44975 = cell4) & (TLH44974 = cell5)) | ((TLH44975 = cell3) & (TLH44974 = cell4)) | ((TLH44975 = cell2) & (TLH44974 = cell3)) | ((TLH44975 = cell1) & (TLH44974 = cell2)))) <=> (edge(TLH44975, TLH44974) <=> ((~((~(TLH44975 = cell90)) | (~(TLH44974 = cell100)))) | (~((~(TLH44975 = cell89)) | (~(TLH44974 = cell99)))) | (~((~(TLH44975 = cell88)) | (~(TLH44974 = cell98)))) | (~((~(TLH44975 = cell87)) | (~(TLH44974 = cell97)))) | (~((~(TLH44975 = cell86)) | (~(TLH44974 = cell96)))) | (~((~(TLH44975 = cell85)) | (~(TLH44974 = cell95)))) | (~((~(TLH44975 = cell84)) | (~(TLH44974 = cell94)))) | (~((~(TLH44975 = cell83)) | (~(TLH44974 = cell93)))) | (~((~(TLH44975 = cell82)) | (~(TLH44974 = cell92)))) | (~((~(TLH44975 = cell81)) | (~(TLH44974 = cell91)))) | (~((~(TLH44975 = cell80)) | (~(TLH44974 = cell90)))) | (~((~(TLH44975 = cell79)) | (~(TLH44974 = cell89)))) | (~((~(TLH44975 = cell78)) | (~(TLH44974 = cell88)))) | (~((~(TLH44975 = cell77)) | (~(TLH44974 = cell87)))) | (~((~(TLH44975 = cell76)) | (~(TLH44974 = cell86)))) | (~((~(TLH44975 = cell75)) | (~(TLH44974 = cell85)))) | (~((~(TLH44975 = cell74)) | (~(TLH44974 = cell84)))) | (~((~(TLH44975 = cell73)) | (~(TLH44974 = cell83)))) | (~((~(TLH44975 = cell72)) | (~(TLH44974 = cell82)))) | (~((~(TLH44975 = cell71)) | (~(TLH44974 = cell81)))) | (~((~(TLH44975 = cell70)) | (~(TLH44974 = cell80)))) | (~((~(TLH44975 = cell69)) | (~(TLH44974 = cell79)))) | (~((~(TLH44975 = cell68)) | (~(TLH44974 = cell78)))) | (~((~(TLH44975 = cell67)) | (~(TLH44974 = cell77)))) | (~((~(TLH44975 = cell66)) | (~(TLH44974 = cell76)))) | (~((~(TLH44975 = cell65)) | (~(TLH44974 = cell75)))) | (~((~(TLH44975 = cell64)) | (~(TLH44974 = cell74)))) | (~((~(TLH44975 = cell63)) | (~(TLH44974 = cell73)))) | (~((~(TLH44975 = cell62)) | (~(TLH44974 = cell72)))) | (~((~(TLH44975 = cell61)) | (~(TLH44974 = cell71)))) | (~((~(TLH44975 = cell60)) | (~(TLH44974 = cell70)))) | (~((~(TLH44975 = cell59)) | (~(TLH44974 = cell69)))) | (~((~(TLH44975 = cell58)) | (~(TLH44974 = cell68)))) | (~((~(TLH44975 = cell57)) | (~(TLH44974 = cell67)))) | (~((~(TLH44975 = cell56)) | (~(TLH44974 = cell66)))) | (~((~(TLH44975 = cell55)) | (~(TLH44974 = cell65)))) | (~((~(TLH44975 = cell54)) | (~(TLH44974 = cell64)))) | (~((~(TLH44975 = cell53)) | (~(TLH44974 = cell63)))) | (~((~(TLH44975 = cell52)) | (~(TLH44974 = cell62)))) | (~((~(TLH44975 = cell51)) | (~(TLH44974 = cell61)))) | (~((~(TLH44975 = cell50)) | (~(TLH44974 = cell60)))) | (~((~(TLH44975 = cell49)) | (~(TLH44974 = cell59)))) | (~((~(TLH44975 = cell48)) | (~(TLH44974 = cell58)))) | (~((~(TLH44975 = cell47)) | (~(TLH44974 = cell57)))) | (~((~(TLH44975 = cell46)) | (~(TLH44974 = cell56)))) | (~((~(TLH44975 = cell45)) | (~(TLH44974 = cell55)))) | (~((~(TLH44975 = cell44)) | (~(TLH44974 = cell54)))) | (~((~(TLH44975 = cell43)) | (~(TLH44974 = cell53)))) | (~((~(TLH44975 = cell42)) | (~(TLH44974 = cell52)))) | (~((~(TLH44975 = cell41)) | (~(TLH44974 = cell51)))) | (~((~(TLH44975 = cell40)) | (~(TLH44974 = cell50)))) | (~((~(TLH44975 = cell39)) | (~(TLH44974 = cell49)))) | (~((~(TLH44975 = cell38)) | (~(TLH44974 = cell48)))) | (~((~(TLH44975 = cell37)) | (~(TLH44974 = cell47)))) | (~((~(TLH44975 = cell36)) | (~(TLH44974 = cell46)))) | (~((~(TLH44975 = cell35)) | (~(TLH44974 = cell45)))) | (~((~(TLH44975 = cell34)) | (~(TLH44974 = cell44)))) | (~((~(TLH44975 = cell33)) | (~(TLH44974 = cell43)))) | (~((~(TLH44975 = cell32)) | (~(TLH44974 = cell42)))) | (~((~(TLH44975 = cell31)) | (~(TLH44974 = cell41)))) | (~((~(TLH44975 = cell30)) | (~(TLH44974 = cell40)))) | (~((~(TLH44975 = cell29)) | (~(TLH44974 = cell39)))) | (~((~(TLH44975 = cell28)) | (~(TLH44974 = cell38)))) | (~((~(TLH44975 = cell27)) | (~(TLH44974 = cell37)))) | (~((~(TLH44975 = cell26)) | (~(TLH44974 = cell36)))) | (~((~(TLH44975 = cell25)) | (~(TLH44974 = cell35)))) | (~((~(TLH44975 = cell24)) | (~(TLH44974 = cell34)))) | (~((~(TLH44975 = cell23)) | (~(TLH44974 = cell33)))) | (~((~(TLH44975 = cell22)) | (~(TLH44974 = cell32)))) | (~((~(TLH44975 = cell21)) | (~(TLH44974 = cell31)))) | (~((~(TLH44975 = cell20)) | (~(TLH44974 = cell30)))) | (~((~(TLH44975 = cell19)) | (~(TLH44974 = cell29)))) | (~((~(TLH44975 = cell18)) | (~(TLH44974 = cell28)))) | (~((~(TLH44975 = cell17)) | (~(TLH44974 = cell27)))) | (~((~(TLH44975 = cell16)) | (~(TLH44974 = cell26)))) | (~((~(TLH44975 = cell15)) | (~(TLH44974 = cell25)))) | (~((~(TLH44975 = cell14)) | (~(TLH44974 = cell24)))) | (~((~(TLH44975 = cell13)) | (~(TLH44974 = cell23)))) | (~((~(TLH44975 = cell12)) | (~(TLH44974 = cell22)))) | (~((~(TLH44975 = cell11)) | (~(TLH44974 = cell21)))) | (~((~(TLH44975 = cell10)) | (~(TLH44974 = cell20)))) | (~((~(TLH44975 = cell9)) | (~(TLH44974 = cell19)))) | (~((~(TLH44975 = cell8)) | (~(TLH44974 = cell18)))) | (~((~(TLH44975 = cell7)) | (~(TLH44974 = cell17)))) | (~((~(TLH44975 = cell6)) | (~(TLH44974 = cell16)))) | (~((~(TLH44975 = cell5)) | (~(TLH44974 = cell15)))) | (~((~(TLH44975 = cell4)) | (~(TLH44974 = cell14)))) | (~((~(TLH44975 = cell3)) | (~(TLH44974 = cell13)))) | (~((~(TLH44975 = cell2)) | (~(TLH44974 = cell12)))) | (~((~(TLH44975 = cell1)) | (~(TLH44974 = cell11)))) | (~((~(TLH44975 = cell99)) | (~(TLH44974 = cell100)))) | (~((~(TLH44975 = cell98)) | (~(TLH44974 = cell99)))) | (~((~(TLH44975 = cell97)) | (~(TLH44974 = cell98)))) | (~((~(TLH44975 = cell96)) | (~(TLH44974 = cell97)))) | (~((~(TLH44975 = cell95)) | (~(TLH44974 = cell96)))) | (~((~(TLH44975 = cell94)) | (~(TLH44974 = cell95)))) | (~((~(TLH44975 = cell93)) | (~(TLH44974 = cell94)))) | (~((~(TLH44975 = cell92)) | (~(TLH44974 = cell93)))) | (~((~(TLH44975 = cell91)) | (~(TLH44974 = cell92)))) | (~((~(TLH44975 = cell89)) | (~(TLH44974 = cell90)))) | (~((~(TLH44975 = cell88)) | (~(TLH44974 = cell89)))) | (~((~(TLH44975 = cell87)) | (~(TLH44974 = cell88)))) | (~((~(TLH44975 = cell86)) | (~(TLH44974 = cell87)))) | (~((~(TLH44975 = cell85)) | (~(TLH44974 = cell86)))) | (~((~(TLH44975 = cell84)) | (~(TLH44974 = cell85)))) | (~((~(TLH44975 = cell83)) | (~(TLH44974 = cell84)))) | (~((~(TLH44975 = cell82)) | (~(TLH44974 = cell83)))) | (~((~(TLH44975 = cell81)) | (~(TLH44974 = cell82)))) | (~((~(TLH44975 = cell79)) | (~(TLH44974 = cell80)))) | (~((~(TLH44975 = cell78)) | (~(TLH44974 = cell79)))) | (~((~(TLH44975 = cell77)) | (~(TLH44974 = cell78)))) | (~((~(TLH44975 = cell76)) | (~(TLH44974 = cell77)))) | (~((~(TLH44975 = cell75)) | (~(TLH44974 = cell76)))) | (~((~(TLH44975 = cell74)) | (~(TLH44974 = cell75)))) | (~((~(TLH44975 = cell73)) | (~(TLH44974 = cell74)))) | (~((~(TLH44975 = cell72)) | (~(TLH44974 = cell73)))) | (~((~(TLH44975 = cell71)) | (~(TLH44974 = cell72)))) | (~((~(TLH44975 = cell69)) | (~(TLH44974 = cell70)))) | (~((~(TLH44975 = cell68)) | (~(TLH44974 = cell69)))) | (~((~(TLH44975 = cell67)) | (~(TLH44974 = cell68)))) | (~((~(TLH44975 = cell66)) | (~(TLH44974 = cell67)))) | (~((~(TLH44975 = cell65)) | (~(TLH44974 = cell66)))) | (~((~(TLH44975 = cell64)) | (~(TLH44974 = cell65)))) | (~((~(TLH44975 = cell63)) | (~(TLH44974 = cell64)))) | (~((~(TLH44975 = cell62)) | (~(TLH44974 = cell63)))) | (~((~(TLH44975 = cell61)) | (~(TLH44974 = cell62)))) | (~((~(TLH44975 = cell59)) | (~(TLH44974 = cell60)))) | (~((~(TLH44975 = cell58)) | (~(TLH44974 = cell59)))) | (~((~(TLH44975 = cell57)) | (~(TLH44974 = cell58)))) | (~((~(TLH44975 = cell56)) | (~(TLH44974 = cell57)))) | (~((~(TLH44975 = cell55)) | (~(TLH44974 = cell56)))) | (~((~(TLH44975 = cell54)) | (~(TLH44974 = cell55)))) | (~((~(TLH44975 = cell53)) | (~(TLH44974 = cell54)))) | (~((~(TLH44975 = cell52)) | (~(TLH44974 = cell53)))) | (~((~(TLH44975 = cell51)) | (~(TLH44974 = cell52)))) | (~((~(TLH44975 = cell49)) | (~(TLH44974 = cell50)))) | (~((~(TLH44975 = cell48)) | (~(TLH44974 = cell49)))) | (~((~(TLH44975 = cell47)) | (~(TLH44974 = cell48)))) | (~((~(TLH44975 = cell46)) | (~(TLH44974 = cell47)))) | (~((~(TLH44975 = cell45)) | (~(TLH44974 = cell46)))) | (~((~(TLH44975 = cell44)) | (~(TLH44974 = cell45)))) | (~((~(TLH44975 = cell43)) | (~(TLH44974 = cell44)))) | (~((~(TLH44975 = cell42)) | (~(TLH44974 = cell43)))) | (~((~(TLH44975 = cell41)) | (~(TLH44974 = cell42)))) | (~((~(TLH44975 = cell39)) | (~(TLH44974 = cell40)))) | (~((~(TLH44975 = cell38)) | (~(TLH44974 = cell39)))) | (~((~(TLH44975 = cell37)) | (~(TLH44974 = cell38)))) | (~((~(TLH44975 = cell36)) | (~(TLH44974 = cell37)))) | (~((~(TLH44975 = cell35)) | (~(TLH44974 = cell36)))) | (~((~(TLH44975 = cell34)) | (~(TLH44974 = cell35)))) | (~((~(TLH44975 = cell33)) | (~(TLH44974 = cell34)))) | (~((~(TLH44975 = cell32)) | (~(TLH44974 = cell33)))) | (~((~(TLH44975 = cell31)) | (~(TLH44974 = cell32)))) | (~((~(TLH44975 = cell29)) | (~(TLH44974 = cell30)))) | (~((~(TLH44975 = cell28)) | (~(TLH44974 = cell29)))) | (~((~(TLH44975 = cell27)) | (~(TLH44974 = cell28)))) | (~((~(TLH44975 = cell26)) | (~(TLH44974 = cell27)))) | (~((~(TLH44975 = cell25)) | (~(TLH44974 = cell26)))) | (~((~(TLH44975 = cell24)) | (~(TLH44974 = cell25)))) | (~((~(TLH44975 = cell23)) | (~(TLH44974 = cell24)))) | (~((~(TLH44975 = cell22)) | (~(TLH44974 = cell23)))) | (~((~(TLH44975 = cell21)) | (~(TLH44974 = cell22)))) | (~((~(TLH44975 = cell19)) | (~(TLH44974 = cell20)))) | (~((~(TLH44975 = cell18)) | (~(TLH44974 = cell19)))) | (~((~(TLH44975 = cell17)) | (~(TLH44974 = cell18)))) | (~((~(TLH44975 = cell16)) | (~(TLH44974 = cell17)))) | (~((~(TLH44975 = cell15)) | (~(TLH44974 = cell16)))) | (~((~(TLH44975 = cell14)) | (~(TLH44974 = cell15)))) | (~((~(TLH44975 = cell13)) | (~(TLH44974 = cell14)))) | (~((~(TLH44975 = cell12)) | (~(TLH44974 = cell13)))) | (~((~(TLH44975 = cell11)) | (~(TLH44974 = cell12)))) | (~((~(TLH44975 = cell9)) | (~(TLH44974 = cell10)))) | (~((~(TLH44975 = cell8)) | (~(TLH44974 = cell9)))) | (~((~(TLH44975 = cell7)) | (~(TLH44974 = cell8)))) | (~((~(TLH44975 = cell6)) | (~(TLH44974 = cell7)))) | (~((~(TLH44975 = cell5)) | (~(TLH44974 = cell6)))) | (~((~(TLH44975 = cell4)) | (~(TLH44974 = cell5)))) | (~((~(TLH44975 = cell3)) | (~(TLH44974 = cell4)))) | (~((~(TLH44975 = cell2)) | (~(TLH44974 = cell3)))) | (~((~(TLH44975 = cell1)) | (~(TLH44974 = cell2)))))))),
% 0.60/0.80 inference(bind,[status(th)],[])).
% 0.60/0.80 tff(2092,plain,
% 0.60/0.80 (![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> (((TLH44975 = cell90) & (TLH44974 = cell100)) | ((TLH44975 = cell89) & (TLH44974 = cell99)) | ((TLH44975 = cell88) & (TLH44974 = cell98)) | ((TLH44975 = cell87) & (TLH44974 = cell97)) | ((TLH44975 = cell86) & (TLH44974 = cell96)) | ((TLH44975 = cell85) & (TLH44974 = cell95)) | ((TLH44975 = cell84) & (TLH44974 = cell94)) | ((TLH44975 = cell83) & (TLH44974 = cell93)) | ((TLH44975 = cell82) & (TLH44974 = cell92)) | ((TLH44975 = cell81) & (TLH44974 = cell91)) | ((TLH44975 = cell80) & (TLH44974 = cell90)) | ((TLH44975 = cell79) & (TLH44974 = cell89)) | ((TLH44975 = cell78) & (TLH44974 = cell88)) | ((TLH44975 = cell77) & (TLH44974 = cell87)) | ((TLH44975 = cell76) & (TLH44974 = cell86)) | ((TLH44975 = cell75) & (TLH44974 = cell85)) | ((TLH44975 = cell74) & (TLH44974 = cell84)) | ((TLH44975 = cell73) & (TLH44974 = cell83)) | ((TLH44975 = cell72) & (TLH44974 = cell82)) | ((TLH44975 = cell71) & (TLH44974 = cell81)) | ((TLH44975 = cell70) & (TLH44974 = cell80)) | ((TLH44975 = cell69) & (TLH44974 = cell79)) | ((TLH44975 = cell68) & (TLH44974 = cell78)) | ((TLH44975 = cell67) & (TLH44974 = cell77)) | ((TLH44975 = cell66) & (TLH44974 = cell76)) | ((TLH44975 = cell65) & (TLH44974 = cell75)) | ((TLH44975 = cell64) & (TLH44974 = cell74)) | ((TLH44975 = cell63) & (TLH44974 = cell73)) | ((TLH44975 = cell62) & (TLH44974 = cell72)) | ((TLH44975 = cell61) & (TLH44974 = cell71)) | ((TLH44975 = cell60) & (TLH44974 = cell70)) | ((TLH44975 = cell59) & (TLH44974 = cell69)) | ((TLH44975 = cell58) & (TLH44974 = cell68)) | ((TLH44975 = cell57) & (TLH44974 = cell67)) | ((TLH44975 = cell56) & (TLH44974 = cell66)) | ((TLH44975 = cell55) & (TLH44974 = cell65)) | ((TLH44975 = cell54) & (TLH44974 = cell64)) | ((TLH44975 = cell53) & (TLH44974 = cell63)) | ((TLH44975 = cell52) & (TLH44974 = cell62)) | ((TLH44975 = cell51) & (TLH44974 = cell61)) | ((TLH44975 = cell50) & (TLH44974 = cell60)) | ((TLH44975 = cell49) & (TLH44974 = cell59)) | ((TLH44975 = cell48) & (TLH44974 = cell58)) | ((TLH44975 = cell47) & (TLH44974 = cell57)) | ((TLH44975 = cell46) & (TLH44974 = cell56)) | ((TLH44975 = cell45) & (TLH44974 = cell55)) | ((TLH44975 = cell44) & (TLH44974 = cell54)) | ((TLH44975 = cell43) & (TLH44974 = cell53)) | ((TLH44975 = cell42) & (TLH44974 = cell52)) | ((TLH44975 = cell41) & (TLH44974 = cell51)) | ((TLH44975 = cell40) & (TLH44974 = cell50)) | ((TLH44975 = cell39) & (TLH44974 = cell49)) | ((TLH44975 = cell38) & (TLH44974 = cell48)) | ((TLH44975 = cell37) & (TLH44974 = cell47)) | ((TLH44975 = cell36) & (TLH44974 = cell46)) | ((TLH44975 = cell35) & (TLH44974 = cell45)) | ((TLH44975 = cell34) & (TLH44974 = cell44)) | ((TLH44975 = cell33) & (TLH44974 = cell43)) | ((TLH44975 = cell32) & (TLH44974 = cell42)) | ((TLH44975 = cell31) & (TLH44974 = cell41)) | ((TLH44975 = cell30) & (TLH44974 = cell40)) | ((TLH44975 = cell29) & (TLH44974 = cell39)) | ((TLH44975 = cell28) & (TLH44974 = cell38)) | ((TLH44975 = cell27) & (TLH44974 = cell37)) | ((TLH44975 = cell26) & (TLH44974 = cell36)) | ((TLH44975 = cell25) & (TLH44974 = cell35)) | ((TLH44975 = cell24) & (TLH44974 = cell34)) | ((TLH44975 = cell23) & (TLH44974 = cell33)) | ((TLH44975 = cell22) & (TLH44974 = cell32)) | ((TLH44975 = cell21) & (TLH44974 = cell31)) | ((TLH44975 = cell20) & (TLH44974 = cell30)) | ((TLH44975 = cell19) & (TLH44974 = cell29)) | ((TLH44975 = cell18) & (TLH44974 = cell28)) | ((TLH44975 = cell17) & (TLH44974 = cell27)) | ((TLH44975 = cell16) & (TLH44974 = cell26)) | ((TLH44975 = cell15) & (TLH44974 = cell25)) | ((TLH44975 = cell14) & (TLH44974 = cell24)) | ((TLH44975 = cell13) & (TLH44974 = cell23)) | ((TLH44975 = cell12) & (TLH44974 = cell22)) | ((TLH44975 = cell11) & (TLH44974 = cell21)) | ((TLH44975 = cell10) & (TLH44974 = cell20)) | ((TLH44975 = cell9) & (TLH44974 = cell19)) | ((TLH44975 = cell8) & (TLH44974 = cell18)) | ((TLH44975 = cell7) & (TLH44974 = cell17)) | ((TLH44975 = cell6) & (TLH44974 = cell16)) | ((TLH44975 = cell5) & (TLH44974 = cell15)) | ((TLH44975 = cell4) & (TLH44974 = cell14)) | ((TLH44975 = cell3) & (TLH44974 = cell13)) | ((TLH44975 = cell2) & (TLH44974 = cell12)) | ((TLH44975 = cell1) & (TLH44974 = cell11)) | ((TLH44975 = cell99) & (TLH44974 = cell100)) | ((TLH44975 = cell98) & (TLH44974 = cell99)) | ((TLH44975 = cell97) & (TLH44974 = cell98)) | ((TLH44975 = cell96) & (TLH44974 = cell97)) | ((TLH44975 = cell95) & (TLH44974 = cell96)) | ((TLH44975 = cell94) & (TLH44974 = cell95)) | ((TLH44975 = cell93) & (TLH44974 = cell94)) | ((TLH44975 = cell92) & (TLH44974 = cell93)) | ((TLH44975 = cell91) & (TLH44974 = cell92)) | ((TLH44975 = cell89) & (TLH44974 = cell90)) | ((TLH44975 = cell88) & (TLH44974 = cell89)) | ((TLH44975 = cell87) & (TLH44974 = cell88)) | ((TLH44975 = cell86) & (TLH44974 = cell87)) | ((TLH44975 = cell85) & (TLH44974 = cell86)) | ((TLH44975 = cell84) & (TLH44974 = cell85)) | ((TLH44975 = cell83) & (TLH44974 = cell84)) | ((TLH44975 = cell82) & (TLH44974 = cell83)) | ((TLH44975 = cell81) & (TLH44974 = cell82)) | ((TLH44975 = cell79) & (TLH44974 = cell80)) | ((TLH44975 = cell78) & (TLH44974 = cell79)) | ((TLH44975 = cell77) & (TLH44974 = cell78)) | ((TLH44975 = cell76) & (TLH44974 = cell77)) | ((TLH44975 = cell75) & (TLH44974 = cell76)) | ((TLH44975 = cell74) & (TLH44974 = cell75)) | ((TLH44975 = cell73) & (TLH44974 = cell74)) | ((TLH44975 = cell72) & (TLH44974 = cell73)) | ((TLH44975 = cell71) & (TLH44974 = cell72)) | ((TLH44975 = cell69) & (TLH44974 = cell70)) | ((TLH44975 = cell68) & (TLH44974 = cell69)) | ((TLH44975 = cell67) & (TLH44974 = cell68)) | ((TLH44975 = cell66) & (TLH44974 = cell67)) | ((TLH44975 = cell65) & (TLH44974 = cell66)) | ((TLH44975 = cell64) & (TLH44974 = cell65)) | ((TLH44975 = cell63) & (TLH44974 = cell64)) | ((TLH44975 = cell62) & (TLH44974 = cell63)) | ((TLH44975 = cell61) & (TLH44974 = cell62)) | ((TLH44975 = cell59) & (TLH44974 = cell60)) | ((TLH44975 = cell58) & (TLH44974 = cell59)) | ((TLH44975 = cell57) & (TLH44974 = cell58)) | ((TLH44975 = cell56) & (TLH44974 = cell57)) | ((TLH44975 = cell55) & (TLH44974 = cell56)) | ((TLH44975 = cell54) & (TLH44974 = cell55)) | ((TLH44975 = cell53) & (TLH44974 = cell54)) | ((TLH44975 = cell52) & (TLH44974 = cell53)) | ((TLH44975 = cell51) & (TLH44974 = cell52)) | ((TLH44975 = cell49) & (TLH44974 = cell50)) | ((TLH44975 = cell48) & (TLH44974 = cell49)) | ((TLH44975 = cell47) & (TLH44974 = cell48)) | ((TLH44975 = cell46) & (TLH44974 = cell47)) | ((TLH44975 = cell45) & (TLH44974 = cell46)) | ((TLH44975 = cell44) & (TLH44974 = cell45)) | ((TLH44975 = cell43) & (TLH44974 = cell44)) | ((TLH44975 = cell42) & (TLH44974 = cell43)) | ((TLH44975 = cell41) & (TLH44974 = cell42)) | ((TLH44975 = cell39) & (TLH44974 = cell40)) | ((TLH44975 = cell38) & (TLH44974 = cell39)) | ((TLH44975 = cell37) & (TLH44974 = cell38)) | ((TLH44975 = cell36) & (TLH44974 = cell37)) | ((TLH44975 = cell35) & (TLH44974 = cell36)) | ((TLH44975 = cell34) & (TLH44974 = cell35)) | ((TLH44975 = cell33) & (TLH44974 = cell34)) | ((TLH44975 = cell32) & (TLH44974 = cell33)) | ((TLH44975 = cell31) & (TLH44974 = cell32)) | ((TLH44975 = cell29) & (TLH44974 = cell30)) | ((TLH44975 = cell28) & (TLH44974 = cell29)) | ((TLH44975 = cell27) & (TLH44974 = cell28)) | ((TLH44975 = cell26) & (TLH44974 = cell27)) | ((TLH44975 = cell25) & (TLH44974 = cell26)) | ((TLH44975 = cell24) & (TLH44974 = cell25)) | ((TLH44975 = cell23) & (TLH44974 = cell24)) | ((TLH44975 = cell22) & (TLH44974 = cell23)) | ((TLH44975 = cell21) & (TLH44974 = cell22)) | ((TLH44975 = cell19) & (TLH44974 = cell20)) | ((TLH44975 = cell18) & (TLH44974 = cell19)) | ((TLH44975 = cell17) & (TLH44974 = cell18)) | ((TLH44975 = cell16) & (TLH44974 = cell17)) | ((TLH44975 = cell15) & (TLH44974 = cell16)) | ((TLH44975 = cell14) & (TLH44974 = cell15)) | ((TLH44975 = cell13) & (TLH44974 = cell14)) | ((TLH44975 = cell12) & (TLH44974 = cell13)) | ((TLH44975 = cell11) & (TLH44974 = cell12)) | ((TLH44975 = cell9) & (TLH44974 = cell10)) | ((TLH44975 = cell8) & (TLH44974 = cell9)) | ((TLH44975 = cell7) & (TLH44974 = cell8)) | ((TLH44975 = cell6) & (TLH44974 = cell7)) | ((TLH44975 = cell5) & (TLH44974 = cell6)) | ((TLH44975 = cell4) & (TLH44974 = cell5)) | ((TLH44975 = cell3) & (TLH44974 = cell4)) | ((TLH44975 = cell2) & (TLH44974 = cell3)) | ((TLH44975 = cell1) & (TLH44974 = cell2)))) <=> ![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> ((~((~(TLH44975 = cell90)) | (~(TLH44974 = cell100)))) | (~((~(TLH44975 = cell89)) | (~(TLH44974 = cell99)))) | (~((~(TLH44975 = cell88)) | (~(TLH44974 = cell98)))) | (~((~(TLH44975 = cell87)) | (~(TLH44974 = cell97)))) | (~((~(TLH44975 = cell86)) | (~(TLH44974 = cell96)))) | (~((~(TLH44975 = cell85)) | (~(TLH44974 = cell95)))) | (~((~(TLH44975 = cell84)) | (~(TLH44974 = cell94)))) | (~((~(TLH44975 = cell83)) | (~(TLH44974 = cell93)))) | (~((~(TLH44975 = cell82)) | (~(TLH44974 = cell92)))) | (~((~(TLH44975 = cell81)) | (~(TLH44974 = cell91)))) | (~((~(TLH44975 = cell80)) | (~(TLH44974 = cell90)))) | (~((~(TLH44975 = cell79)) | (~(TLH44974 = cell89)))) | (~((~(TLH44975 = cell78)) | (~(TLH44974 = cell88)))) | (~((~(TLH44975 = cell77)) | (~(TLH44974 = cell87)))) | (~((~(TLH44975 = cell76)) | (~(TLH44974 = cell86)))) | (~((~(TLH44975 = cell75)) | (~(TLH44974 = cell85)))) | (~((~(TLH44975 = cell74)) | (~(TLH44974 = cell84)))) | (~((~(TLH44975 = cell73)) | (~(TLH44974 = cell83)))) | (~((~(TLH44975 = cell72)) | (~(TLH44974 = cell82)))) | (~((~(TLH44975 = cell71)) | (~(TLH44974 = cell81)))) | (~((~(TLH44975 = cell70)) | (~(TLH44974 = cell80)))) | (~((~(TLH44975 = cell69)) | (~(TLH44974 = cell79)))) | (~((~(TLH44975 = cell68)) | (~(TLH44974 = cell78)))) | (~((~(TLH44975 = cell67)) | (~(TLH44974 = cell77)))) | (~((~(TLH44975 = cell66)) | (~(TLH44974 = cell76)))) | (~((~(TLH44975 = cell65)) | (~(TLH44974 = cell75)))) | (~((~(TLH44975 = cell64)) | (~(TLH44974 = cell74)))) | (~((~(TLH44975 = cell63)) | (~(TLH44974 = cell73)))) | (~((~(TLH44975 = cell62)) | (~(TLH44974 = cell72)))) | (~((~(TLH44975 = cell61)) | (~(TLH44974 = cell71)))) | (~((~(TLH44975 = cell60)) | (~(TLH44974 = cell70)))) | (~((~(TLH44975 = cell59)) | (~(TLH44974 = cell69)))) | (~((~(TLH44975 = cell58)) | (~(TLH44974 = cell68)))) | (~((~(TLH44975 = cell57)) | (~(TLH44974 = cell67)))) | (~((~(TLH44975 = cell56)) | (~(TLH44974 = cell66)))) | (~((~(TLH44975 = cell55)) | (~(TLH44974 = cell65)))) | (~((~(TLH44975 = cell54)) | (~(TLH44974 = cell64)))) | (~((~(TLH44975 = cell53)) | (~(TLH44974 = cell63)))) | (~((~(TLH44975 = cell52)) | (~(TLH44974 = cell62)))) | (~((~(TLH44975 = cell51)) | (~(TLH44974 = cell61)))) | (~((~(TLH44975 = cell50)) | (~(TLH44974 = cell60)))) | (~((~(TLH44975 = cell49)) | (~(TLH44974 = cell59)))) | (~((~(TLH44975 = cell48)) | (~(TLH44974 = cell58)))) | (~((~(TLH44975 = cell47)) | (~(TLH44974 = cell57)))) | (~((~(TLH44975 = cell46)) | (~(TLH44974 = cell56)))) | (~((~(TLH44975 = cell45)) | (~(TLH44974 = cell55)))) | (~((~(TLH44975 = cell44)) | (~(TLH44974 = cell54)))) | (~((~(TLH44975 = cell43)) | (~(TLH44974 = cell53)))) | (~((~(TLH44975 = cell42)) | (~(TLH44974 = cell52)))) | (~((~(TLH44975 = cell41)) | (~(TLH44974 = cell51)))) | (~((~(TLH44975 = cell40)) | (~(TLH44974 = cell50)))) | (~((~(TLH44975 = cell39)) | (~(TLH44974 = cell49)))) | (~((~(TLH44975 = cell38)) | (~(TLH44974 = cell48)))) | (~((~(TLH44975 = cell37)) | (~(TLH44974 = cell47)))) | (~((~(TLH44975 = cell36)) | (~(TLH44974 = cell46)))) | (~((~(TLH44975 = cell35)) | (~(TLH44974 = cell45)))) | (~((~(TLH44975 = cell34)) | (~(TLH44974 = cell44)))) | (~((~(TLH44975 = cell33)) | (~(TLH44974 = cell43)))) | (~((~(TLH44975 = cell32)) | (~(TLH44974 = cell42)))) | (~((~(TLH44975 = cell31)) | (~(TLH44974 = cell41)))) | (~((~(TLH44975 = cell30)) | (~(TLH44974 = cell40)))) | (~((~(TLH44975 = cell29)) | (~(TLH44974 = cell39)))) | (~((~(TLH44975 = cell28)) | (~(TLH44974 = cell38)))) | (~((~(TLH44975 = cell27)) | (~(TLH44974 = cell37)))) | (~((~(TLH44975 = cell26)) | (~(TLH44974 = cell36)))) | (~((~(TLH44975 = cell25)) | (~(TLH44974 = cell35)))) | (~((~(TLH44975 = cell24)) | (~(TLH44974 = cell34)))) | (~((~(TLH44975 = cell23)) | (~(TLH44974 = cell33)))) | (~((~(TLH44975 = cell22)) | (~(TLH44974 = cell32)))) | (~((~(TLH44975 = cell21)) | (~(TLH44974 = cell31)))) | (~((~(TLH44975 = cell20)) | (~(TLH44974 = cell30)))) | (~((~(TLH44975 = cell19)) | (~(TLH44974 = cell29)))) | (~((~(TLH44975 = cell18)) | (~(TLH44974 = cell28)))) | (~((~(TLH44975 = cell17)) | (~(TLH44974 = cell27)))) | (~((~(TLH44975 = cell16)) | (~(TLH44974 = cell26)))) | (~((~(TLH44975 = cell15)) | (~(TLH44974 = cell25)))) | (~((~(TLH44975 = cell14)) | (~(TLH44974 = cell24)))) | (~((~(TLH44975 = cell13)) | (~(TLH44974 = cell23)))) | (~((~(TLH44975 = cell12)) | (~(TLH44974 = cell22)))) | (~((~(TLH44975 = cell11)) | (~(TLH44974 = cell21)))) | (~((~(TLH44975 = cell10)) | (~(TLH44974 = cell20)))) | (~((~(TLH44975 = cell9)) | (~(TLH44974 = cell19)))) | (~((~(TLH44975 = cell8)) | (~(TLH44974 = cell18)))) | (~((~(TLH44975 = cell7)) | (~(TLH44974 = cell17)))) | (~((~(TLH44975 = cell6)) | (~(TLH44974 = cell16)))) | (~((~(TLH44975 = cell5)) | (~(TLH44974 = cell15)))) | (~((~(TLH44975 = cell4)) | (~(TLH44974 = cell14)))) | (~((~(TLH44975 = cell3)) | (~(TLH44974 = cell13)))) | (~((~(TLH44975 = cell2)) | (~(TLH44974 = cell12)))) | (~((~(TLH44975 = cell1)) | (~(TLH44974 = cell11)))) | (~((~(TLH44975 = cell99)) | (~(TLH44974 = cell100)))) | (~((~(TLH44975 = cell98)) | (~(TLH44974 = cell99)))) | (~((~(TLH44975 = cell97)) | (~(TLH44974 = cell98)))) | (~((~(TLH44975 = cell96)) | (~(TLH44974 = cell97)))) | (~((~(TLH44975 = cell95)) | (~(TLH44974 = cell96)))) | (~((~(TLH44975 = cell94)) | (~(TLH44974 = cell95)))) | (~((~(TLH44975 = cell93)) | (~(TLH44974 = cell94)))) | (~((~(TLH44975 = cell92)) | (~(TLH44974 = cell93)))) | (~((~(TLH44975 = cell91)) | (~(TLH44974 = cell92)))) | (~((~(TLH44975 = cell89)) | (~(TLH44974 = cell90)))) | (~((~(TLH44975 = cell88)) | (~(TLH44974 = cell89)))) | (~((~(TLH44975 = cell87)) | (~(TLH44974 = cell88)))) | (~((~(TLH44975 = cell86)) | (~(TLH44974 = cell87)))) | (~((~(TLH44975 = cell85)) | (~(TLH44974 = cell86)))) | (~((~(TLH44975 = cell84)) | (~(TLH44974 = cell85)))) | (~((~(TLH44975 = cell83)) | (~(TLH44974 = cell84)))) | (~((~(TLH44975 = cell82)) | (~(TLH44974 = cell83)))) | (~((~(TLH44975 = cell81)) | (~(TLH44974 = cell82)))) | (~((~(TLH44975 = cell79)) | (~(TLH44974 = cell80)))) | (~((~(TLH44975 = cell78)) | (~(TLH44974 = cell79)))) | (~((~(TLH44975 = cell77)) | (~(TLH44974 = cell78)))) | (~((~(TLH44975 = cell76)) | (~(TLH44974 = cell77)))) | (~((~(TLH44975 = cell75)) | (~(TLH44974 = cell76)))) | (~((~(TLH44975 = cell74)) | (~(TLH44974 = cell75)))) | (~((~(TLH44975 = cell73)) | (~(TLH44974 = cell74)))) | (~((~(TLH44975 = cell72)) | (~(TLH44974 = cell73)))) | (~((~(TLH44975 = cell71)) | (~(TLH44974 = cell72)))) | (~((~(TLH44975 = cell69)) | (~(TLH44974 = cell70)))) | (~((~(TLH44975 = cell68)) | (~(TLH44974 = cell69)))) | (~((~(TLH44975 = cell67)) | (~(TLH44974 = cell68)))) | (~((~(TLH44975 = cell66)) | (~(TLH44974 = cell67)))) | (~((~(TLH44975 = cell65)) | (~(TLH44974 = cell66)))) | (~((~(TLH44975 = cell64)) | (~(TLH44974 = cell65)))) | (~((~(TLH44975 = cell63)) | (~(TLH44974 = cell64)))) | (~((~(TLH44975 = cell62)) | (~(TLH44974 = cell63)))) | (~((~(TLH44975 = cell61)) | (~(TLH44974 = cell62)))) | (~((~(TLH44975 = cell59)) | (~(TLH44974 = cell60)))) | (~((~(TLH44975 = cell58)) | (~(TLH44974 = cell59)))) | (~((~(TLH44975 = cell57)) | (~(TLH44974 = cell58)))) | (~((~(TLH44975 = cell56)) | (~(TLH44974 = cell57)))) | (~((~(TLH44975 = cell55)) | (~(TLH44974 = cell56)))) | (~((~(TLH44975 = cell54)) | (~(TLH44974 = cell55)))) | (~((~(TLH44975 = cell53)) | (~(TLH44974 = cell54)))) | (~((~(TLH44975 = cell52)) | (~(TLH44974 = cell53)))) | (~((~(TLH44975 = cell51)) | (~(TLH44974 = cell52)))) | (~((~(TLH44975 = cell49)) | (~(TLH44974 = cell50)))) | (~((~(TLH44975 = cell48)) | (~(TLH44974 = cell49)))) | (~((~(TLH44975 = cell47)) | (~(TLH44974 = cell48)))) | (~((~(TLH44975 = cell46)) | (~(TLH44974 = cell47)))) | (~((~(TLH44975 = cell45)) | (~(TLH44974 = cell46)))) | (~((~(TLH44975 = cell44)) | (~(TLH44974 = cell45)))) | (~((~(TLH44975 = cell43)) | (~(TLH44974 = cell44)))) | (~((~(TLH44975 = cell42)) | (~(TLH44974 = cell43)))) | (~((~(TLH44975 = cell41)) | (~(TLH44974 = cell42)))) | (~((~(TLH44975 = cell39)) | (~(TLH44974 = cell40)))) | (~((~(TLH44975 = cell38)) | (~(TLH44974 = cell39)))) | (~((~(TLH44975 = cell37)) | (~(TLH44974 = cell38)))) | (~((~(TLH44975 = cell36)) | (~(TLH44974 = cell37)))) | (~((~(TLH44975 = cell35)) | (~(TLH44974 = cell36)))) | (~((~(TLH44975 = cell34)) | (~(TLH44974 = cell35)))) | (~((~(TLH44975 = cell33)) | (~(TLH44974 = cell34)))) | (~((~(TLH44975 = cell32)) | (~(TLH44974 = cell33)))) | (~((~(TLH44975 = cell31)) | (~(TLH44974 = cell32)))) | (~((~(TLH44975 = cell29)) | (~(TLH44974 = cell30)))) | (~((~(TLH44975 = cell28)) | (~(TLH44974 = cell29)))) | (~((~(TLH44975 = cell27)) | (~(TLH44974 = cell28)))) | (~((~(TLH44975 = cell26)) | (~(TLH44974 = cell27)))) | (~((~(TLH44975 = cell25)) | (~(TLH44974 = cell26)))) | (~((~(TLH44975 = cell24)) | (~(TLH44974 = cell25)))) | (~((~(TLH44975 = cell23)) | (~(TLH44974 = cell24)))) | (~((~(TLH44975 = cell22)) | (~(TLH44974 = cell23)))) | (~((~(TLH44975 = cell21)) | (~(TLH44974 = cell22)))) | (~((~(TLH44975 = cell19)) | (~(TLH44974 = cell20)))) | (~((~(TLH44975 = cell18)) | (~(TLH44974 = cell19)))) | (~((~(TLH44975 = cell17)) | (~(TLH44974 = cell18)))) | (~((~(TLH44975 = cell16)) | (~(TLH44974 = cell17)))) | (~((~(TLH44975 = cell15)) | (~(TLH44974 = cell16)))) | (~((~(TLH44975 = cell14)) | (~(TLH44974 = cell15)))) | (~((~(TLH44975 = cell13)) | (~(TLH44974 = cell14)))) | (~((~(TLH44975 = cell12)) | (~(TLH44974 = cell13)))) | (~((~(TLH44975 = cell11)) | (~(TLH44974 = cell12)))) | (~((~(TLH44975 = cell9)) | (~(TLH44974 = cell10)))) | (~((~(TLH44975 = cell8)) | (~(TLH44974 = cell9)))) | (~((~(TLH44975 = cell7)) | (~(TLH44974 = cell8)))) | (~((~(TLH44975 = cell6)) | (~(TLH44974 = cell7)))) | (~((~(TLH44975 = cell5)) | (~(TLH44974 = cell6)))) | (~((~(TLH44975 = cell4)) | (~(TLH44974 = cell5)))) | (~((~(TLH44975 = cell3)) | (~(TLH44974 = cell4)))) | (~((~(TLH44975 = cell2)) | (~(TLH44974 = cell3)))) | (~((~(TLH44975 = cell1)) | (~(TLH44974 = cell2))))))),
% 0.60/0.81 inference(quant_intro,[status(thm)],[2091])).
% 0.60/0.81 tff(2093,plain,
% 0.60/0.81 (![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> (((TLH44975 = cell90) & (TLH44974 = cell100)) | ((TLH44975 = cell89) & (TLH44974 = cell99)) | ((TLH44975 = cell88) & (TLH44974 = cell98)) | ((TLH44975 = cell87) & (TLH44974 = cell97)) | ((TLH44975 = cell86) & (TLH44974 = cell96)) | ((TLH44975 = cell85) & (TLH44974 = cell95)) | ((TLH44975 = cell84) & (TLH44974 = cell94)) | ((TLH44975 = cell83) & (TLH44974 = cell93)) | ((TLH44975 = cell82) & (TLH44974 = cell92)) | ((TLH44975 = cell81) & (TLH44974 = cell91)) | ((TLH44975 = cell80) & (TLH44974 = cell90)) | ((TLH44975 = cell79) & (TLH44974 = cell89)) | ((TLH44975 = cell78) & (TLH44974 = cell88)) | ((TLH44975 = cell77) & (TLH44974 = cell87)) | ((TLH44975 = cell76) & (TLH44974 = cell86)) | ((TLH44975 = cell75) & (TLH44974 = cell85)) | ((TLH44975 = cell74) & (TLH44974 = cell84)) | ((TLH44975 = cell73) & (TLH44974 = cell83)) | ((TLH44975 = cell72) & (TLH44974 = cell82)) | ((TLH44975 = cell71) & (TLH44974 = cell81)) | ((TLH44975 = cell70) & (TLH44974 = cell80)) | ((TLH44975 = cell69) & (TLH44974 = cell79)) | ((TLH44975 = cell68) & (TLH44974 = cell78)) | ((TLH44975 = cell67) & (TLH44974 = cell77)) | ((TLH44975 = cell66) & (TLH44974 = cell76)) | ((TLH44975 = cell65) & (TLH44974 = cell75)) | ((TLH44975 = cell64) & (TLH44974 = cell74)) | ((TLH44975 = cell63) & (TLH44974 = cell73)) | ((TLH44975 = cell62) & (TLH44974 = cell72)) | ((TLH44975 = cell61) & (TLH44974 = cell71)) | ((TLH44975 = cell60) & (TLH44974 = cell70)) | ((TLH44975 = cell59) & (TLH44974 = cell69)) | ((TLH44975 = cell58) & (TLH44974 = cell68)) | ((TLH44975 = cell57) & (TLH44974 = cell67)) | ((TLH44975 = cell56) & (TLH44974 = cell66)) | ((TLH44975 = cell55) & (TLH44974 = cell65)) | ((TLH44975 = cell54) & (TLH44974 = cell64)) | ((TLH44975 = cell53) & (TLH44974 = cell63)) | ((TLH44975 = cell52) & (TLH44974 = cell62)) | ((TLH44975 = cell51) & (TLH44974 = cell61)) | ((TLH44975 = cell50) & (TLH44974 = cell60)) | ((TLH44975 = cell49) & (TLH44974 = cell59)) | ((TLH44975 = cell48) & (TLH44974 = cell58)) | ((TLH44975 = cell47) & (TLH44974 = cell57)) | ((TLH44975 = cell46) & (TLH44974 = cell56)) | ((TLH44975 = cell45) & (TLH44974 = cell55)) | ((TLH44975 = cell44) & (TLH44974 = cell54)) | ((TLH44975 = cell43) & (TLH44974 = cell53)) | ((TLH44975 = cell42) & (TLH44974 = cell52)) | ((TLH44975 = cell41) & (TLH44974 = cell51)) | ((TLH44975 = cell40) & (TLH44974 = cell50)) | ((TLH44975 = cell39) & (TLH44974 = cell49)) | ((TLH44975 = cell38) & (TLH44974 = cell48)) | ((TLH44975 = cell37) & (TLH44974 = cell47)) | ((TLH44975 = cell36) & (TLH44974 = cell46)) | ((TLH44975 = cell35) & (TLH44974 = cell45)) | ((TLH44975 = cell34) & (TLH44974 = cell44)) | ((TLH44975 = cell33) & (TLH44974 = cell43)) | ((TLH44975 = cell32) & (TLH44974 = cell42)) | ((TLH44975 = cell31) & (TLH44974 = cell41)) | ((TLH44975 = cell30) & (TLH44974 = cell40)) | ((TLH44975 = cell29) & (TLH44974 = cell39)) | ((TLH44975 = cell28) & (TLH44974 = cell38)) | ((TLH44975 = cell27) & (TLH44974 = cell37)) | ((TLH44975 = cell26) & (TLH44974 = cell36)) | ((TLH44975 = cell25) & (TLH44974 = cell35)) | ((TLH44975 = cell24) & (TLH44974 = cell34)) | ((TLH44975 = cell23) & (TLH44974 = cell33)) | ((TLH44975 = cell22) & (TLH44974 = cell32)) | ((TLH44975 = cell21) & (TLH44974 = cell31)) | ((TLH44975 = cell20) & (TLH44974 = cell30)) | ((TLH44975 = cell19) & (TLH44974 = cell29)) | ((TLH44975 = cell18) & (TLH44974 = cell28)) | ((TLH44975 = cell17) & (TLH44974 = cell27)) | ((TLH44975 = cell16) & (TLH44974 = cell26)) | ((TLH44975 = cell15) & (TLH44974 = cell25)) | ((TLH44975 = cell14) & (TLH44974 = cell24)) | ((TLH44975 = cell13) & (TLH44974 = cell23)) | ((TLH44975 = cell12) & (TLH44974 = cell22)) | ((TLH44975 = cell11) & (TLH44974 = cell21)) | ((TLH44975 = cell10) & (TLH44974 = cell20)) | ((TLH44975 = cell9) & (TLH44974 = cell19)) | ((TLH44975 = cell8) & (TLH44974 = cell18)) | ((TLH44975 = cell7) & (TLH44974 = cell17)) | ((TLH44975 = cell6) & (TLH44974 = cell16)) | ((TLH44975 = cell5) & (TLH44974 = cell15)) | ((TLH44975 = cell4) & (TLH44974 = cell14)) | ((TLH44975 = cell3) & (TLH44974 = cell13)) | ((TLH44975 = cell2) & (TLH44974 = cell12)) | ((TLH44975 = cell1) & (TLH44974 = cell11)) | ((TLH44975 = cell99) & (TLH44974 = cell100)) | ((TLH44975 = cell98) & (TLH44974 = cell99)) | ((TLH44975 = cell97) & (TLH44974 = cell98)) | ((TLH44975 = cell96) & (TLH44974 = cell97)) | ((TLH44975 = cell95) & (TLH44974 = cell96)) | ((TLH44975 = cell94) & (TLH44974 = cell95)) | ((TLH44975 = cell93) & (TLH44974 = cell94)) | ((TLH44975 = cell92) & (TLH44974 = cell93)) | ((TLH44975 = cell91) & (TLH44974 = cell92)) | ((TLH44975 = cell89) & (TLH44974 = cell90)) | ((TLH44975 = cell88) & (TLH44974 = cell89)) | ((TLH44975 = cell87) & (TLH44974 = cell88)) | ((TLH44975 = cell86) & (TLH44974 = cell87)) | ((TLH44975 = cell85) & (TLH44974 = cell86)) | ((TLH44975 = cell84) & (TLH44974 = cell85)) | ((TLH44975 = cell83) & (TLH44974 = cell84)) | ((TLH44975 = cell82) & (TLH44974 = cell83)) | ((TLH44975 = cell81) & (TLH44974 = cell82)) | ((TLH44975 = cell79) & (TLH44974 = cell80)) | ((TLH44975 = cell78) & (TLH44974 = cell79)) | ((TLH44975 = cell77) & (TLH44974 = cell78)) | ((TLH44975 = cell76) & (TLH44974 = cell77)) | ((TLH44975 = cell75) & (TLH44974 = cell76)) | ((TLH44975 = cell74) & (TLH44974 = cell75)) | ((TLH44975 = cell73) & (TLH44974 = cell74)) | ((TLH44975 = cell72) & (TLH44974 = cell73)) | ((TLH44975 = cell71) & (TLH44974 = cell72)) | ((TLH44975 = cell69) & (TLH44974 = cell70)) | ((TLH44975 = cell68) & (TLH44974 = cell69)) | ((TLH44975 = cell67) & (TLH44974 = cell68)) | ((TLH44975 = cell66) & (TLH44974 = cell67)) | ((TLH44975 = cell65) & (TLH44974 = cell66)) | ((TLH44975 = cell64) & (TLH44974 = cell65)) | ((TLH44975 = cell63) & (TLH44974 = cell64)) | ((TLH44975 = cell62) & (TLH44974 = cell63)) | ((TLH44975 = cell61) & (TLH44974 = cell62)) | ((TLH44975 = cell59) & (TLH44974 = cell60)) | ((TLH44975 = cell58) & (TLH44974 = cell59)) | ((TLH44975 = cell57) & (TLH44974 = cell58)) | ((TLH44975 = cell56) & (TLH44974 = cell57)) | ((TLH44975 = cell55) & (TLH44974 = cell56)) | ((TLH44975 = cell54) & (TLH44974 = cell55)) | ((TLH44975 = cell53) & (TLH44974 = cell54)) | ((TLH44975 = cell52) & (TLH44974 = cell53)) | ((TLH44975 = cell51) & (TLH44974 = cell52)) | ((TLH44975 = cell49) & (TLH44974 = cell50)) | ((TLH44975 = cell48) & (TLH44974 = cell49)) | ((TLH44975 = cell47) & (TLH44974 = cell48)) | ((TLH44975 = cell46) & (TLH44974 = cell47)) | ((TLH44975 = cell45) & (TLH44974 = cell46)) | ((TLH44975 = cell44) & (TLH44974 = cell45)) | ((TLH44975 = cell43) & (TLH44974 = cell44)) | ((TLH44975 = cell42) & (TLH44974 = cell43)) | ((TLH44975 = cell41) & (TLH44974 = cell42)) | ((TLH44975 = cell39) & (TLH44974 = cell40)) | ((TLH44975 = cell38) & (TLH44974 = cell39)) | ((TLH44975 = cell37) & (TLH44974 = cell38)) | ((TLH44975 = cell36) & (TLH44974 = cell37)) | ((TLH44975 = cell35) & (TLH44974 = cell36)) | ((TLH44975 = cell34) & (TLH44974 = cell35)) | ((TLH44975 = cell33) & (TLH44974 = cell34)) | ((TLH44975 = cell32) & (TLH44974 = cell33)) | ((TLH44975 = cell31) & (TLH44974 = cell32)) | ((TLH44975 = cell29) & (TLH44974 = cell30)) | ((TLH44975 = cell28) & (TLH44974 = cell29)) | ((TLH44975 = cell27) & (TLH44974 = cell28)) | ((TLH44975 = cell26) & (TLH44974 = cell27)) | ((TLH44975 = cell25) & (TLH44974 = cell26)) | ((TLH44975 = cell24) & (TLH44974 = cell25)) | ((TLH44975 = cell23) & (TLH44974 = cell24)) | ((TLH44975 = cell22) & (TLH44974 = cell23)) | ((TLH44975 = cell21) & (TLH44974 = cell22)) | ((TLH44975 = cell19) & (TLH44974 = cell20)) | ((TLH44975 = cell18) & (TLH44974 = cell19)) | ((TLH44975 = cell17) & (TLH44974 = cell18)) | ((TLH44975 = cell16) & (TLH44974 = cell17)) | ((TLH44975 = cell15) & (TLH44974 = cell16)) | ((TLH44975 = cell14) & (TLH44974 = cell15)) | ((TLH44975 = cell13) & (TLH44974 = cell14)) | ((TLH44975 = cell12) & (TLH44974 = cell13)) | ((TLH44975 = cell11) & (TLH44974 = cell12)) | ((TLH44975 = cell9) & (TLH44974 = cell10)) | ((TLH44975 = cell8) & (TLH44974 = cell9)) | ((TLH44975 = cell7) & (TLH44974 = cell8)) | ((TLH44975 = cell6) & (TLH44974 = cell7)) | ((TLH44975 = cell5) & (TLH44974 = cell6)) | ((TLH44975 = cell4) & (TLH44974 = cell5)) | ((TLH44975 = cell3) & (TLH44974 = cell4)) | ((TLH44975 = cell2) & (TLH44974 = cell3)) | ((TLH44975 = cell1) & (TLH44974 = cell2)))) <=> ![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> (((TLH44975 = cell90) & (TLH44974 = cell100)) | ((TLH44975 = cell89) & (TLH44974 = cell99)) | ((TLH44975 = cell88) & (TLH44974 = cell98)) | ((TLH44975 = cell87) & (TLH44974 = cell97)) | ((TLH44975 = cell86) & (TLH44974 = cell96)) | ((TLH44975 = cell85) & (TLH44974 = cell95)) | ((TLH44975 = cell84) & (TLH44974 = cell94)) | ((TLH44975 = cell83) & (TLH44974 = cell93)) | ((TLH44975 = cell82) & (TLH44974 = cell92)) | ((TLH44975 = cell81) & (TLH44974 = cell91)) | ((TLH44975 = cell80) & (TLH44974 = cell90)) | ((TLH44975 = cell79) & (TLH44974 = cell89)) | ((TLH44975 = cell78) & (TLH44974 = cell88)) | ((TLH44975 = cell77) & (TLH44974 = cell87)) | ((TLH44975 = cell76) & (TLH44974 = cell86)) | ((TLH44975 = cell75) & (TLH44974 = cell85)) | ((TLH44975 = cell74) & (TLH44974 = cell84)) | ((TLH44975 = cell73) & (TLH44974 = cell83)) | ((TLH44975 = cell72) & (TLH44974 = cell82)) | ((TLH44975 = cell71) & (TLH44974 = cell81)) | ((TLH44975 = cell70) & (TLH44974 = cell80)) | ((TLH44975 = cell69) & (TLH44974 = cell79)) | ((TLH44975 = cell68) & (TLH44974 = cell78)) | ((TLH44975 = cell67) & (TLH44974 = cell77)) | ((TLH44975 = cell66) & (TLH44974 = cell76)) | ((TLH44975 = cell65) & (TLH44974 = cell75)) | ((TLH44975 = cell64) & (TLH44974 = cell74)) | ((TLH44975 = cell63) & (TLH44974 = cell73)) | ((TLH44975 = cell62) & (TLH44974 = cell72)) | ((TLH44975 = cell61) & (TLH44974 = cell71)) | ((TLH44975 = cell60) & (TLH44974 = cell70)) | ((TLH44975 = cell59) & (TLH44974 = cell69)) | ((TLH44975 = cell58) & (TLH44974 = cell68)) | ((TLH44975 = cell57) & (TLH44974 = cell67)) | ((TLH44975 = cell56) & (TLH44974 = cell66)) | ((TLH44975 = cell55) & (TLH44974 = cell65)) | ((TLH44975 = cell54) & (TLH44974 = cell64)) | ((TLH44975 = cell53) & (TLH44974 = cell63)) | ((TLH44975 = cell52) & (TLH44974 = cell62)) | ((TLH44975 = cell51) & (TLH44974 = cell61)) | ((TLH44975 = cell50) & (TLH44974 = cell60)) | ((TLH44975 = cell49) & (TLH44974 = cell59)) | ((TLH44975 = cell48) & (TLH44974 = cell58)) | ((TLH44975 = cell47) & (TLH44974 = cell57)) | ((TLH44975 = cell46) & (TLH44974 = cell56)) | ((TLH44975 = cell45) & (TLH44974 = cell55)) | ((TLH44975 = cell44) & (TLH44974 = cell54)) | ((TLH44975 = cell43) & (TLH44974 = cell53)) | ((TLH44975 = cell42) & (TLH44974 = cell52)) | ((TLH44975 = cell41) & (TLH44974 = cell51)) | ((TLH44975 = cell40) & (TLH44974 = cell50)) | ((TLH44975 = cell39) & (TLH44974 = cell49)) | ((TLH44975 = cell38) & (TLH44974 = cell48)) | ((TLH44975 = cell37) & (TLH44974 = cell47)) | ((TLH44975 = cell36) & (TLH44974 = cell46)) | ((TLH44975 = cell35) & (TLH44974 = cell45)) | ((TLH44975 = cell34) & (TLH44974 = cell44)) | ((TLH44975 = cell33) & (TLH44974 = cell43)) | ((TLH44975 = cell32) & (TLH44974 = cell42)) | ((TLH44975 = cell31) & (TLH44974 = cell41)) | ((TLH44975 = cell30) & (TLH44974 = cell40)) | ((TLH44975 = cell29) & (TLH44974 = cell39)) | ((TLH44975 = cell28) & (TLH44974 = cell38)) | ((TLH44975 = cell27) & (TLH44974 = cell37)) | ((TLH44975 = cell26) & (TLH44974 = cell36)) | ((TLH44975 = cell25) & (TLH44974 = cell35)) | ((TLH44975 = cell24) & (TLH44974 = cell34)) | ((TLH44975 = cell23) & (TLH44974 = cell33)) | ((TLH44975 = cell22) & (TLH44974 = cell32)) | ((TLH44975 = cell21) & (TLH44974 = cell31)) | ((TLH44975 = cell20) & (TLH44974 = cell30)) | ((TLH44975 = cell19) & (TLH44974 = cell29)) | ((TLH44975 = cell18) & (TLH44974 = cell28)) | ((TLH44975 = cell17) & (TLH44974 = cell27)) | ((TLH44975 = cell16) & (TLH44974 = cell26)) | ((TLH44975 = cell15) & (TLH44974 = cell25)) | ((TLH44975 = cell14) & (TLH44974 = cell24)) | ((TLH44975 = cell13) & (TLH44974 = cell23)) | ((TLH44975 = cell12) & (TLH44974 = cell22)) | ((TLH44975 = cell11) & (TLH44974 = cell21)) | ((TLH44975 = cell10) & (TLH44974 = cell20)) | ((TLH44975 = cell9) & (TLH44974 = cell19)) | ((TLH44975 = cell8) & (TLH44974 = cell18)) | ((TLH44975 = cell7) & (TLH44974 = cell17)) | ((TLH44975 = cell6) & (TLH44974 = cell16)) | ((TLH44975 = cell5) & (TLH44974 = cell15)) | ((TLH44975 = cell4) & (TLH44974 = cell14)) | ((TLH44975 = cell3) & (TLH44974 = cell13)) | ((TLH44975 = cell2) & (TLH44974 = cell12)) | ((TLH44975 = cell1) & (TLH44974 = cell11)) | ((TLH44975 = cell99) & (TLH44974 = cell100)) | ((TLH44975 = cell98) & (TLH44974 = cell99)) | ((TLH44975 = cell97) & (TLH44974 = cell98)) | ((TLH44975 = cell96) & (TLH44974 = cell97)) | ((TLH44975 = cell95) & (TLH44974 = cell96)) | ((TLH44975 = cell94) & (TLH44974 = cell95)) | ((TLH44975 = cell93) & (TLH44974 = cell94)) | ((TLH44975 = cell92) & (TLH44974 = cell93)) | ((TLH44975 = cell91) & (TLH44974 = cell92)) | ((TLH44975 = cell89) & (TLH44974 = cell90)) | ((TLH44975 = cell88) & (TLH44974 = cell89)) | ((TLH44975 = cell87) & (TLH44974 = cell88)) | ((TLH44975 = cell86) & (TLH44974 = cell87)) | ((TLH44975 = cell85) & (TLH44974 = cell86)) | ((TLH44975 = cell84) & (TLH44974 = cell85)) | ((TLH44975 = cell83) & (TLH44974 = cell84)) | ((TLH44975 = cell82) & (TLH44974 = cell83)) | ((TLH44975 = cell81) & (TLH44974 = cell82)) | ((TLH44975 = cell79) & (TLH44974 = cell80)) | ((TLH44975 = cell78) & (TLH44974 = cell79)) | ((TLH44975 = cell77) & (TLH44974 = cell78)) | ((TLH44975 = cell76) & (TLH44974 = cell77)) | ((TLH44975 = cell75) & (TLH44974 = cell76)) | ((TLH44975 = cell74) & (TLH44974 = cell75)) | ((TLH44975 = cell73) & (TLH44974 = cell74)) | ((TLH44975 = cell72) & (TLH44974 = cell73)) | ((TLH44975 = cell71) & (TLH44974 = cell72)) | ((TLH44975 = cell69) & (TLH44974 = cell70)) | ((TLH44975 = cell68) & (TLH44974 = cell69)) | ((TLH44975 = cell67) & (TLH44974 = cell68)) | ((TLH44975 = cell66) & (TLH44974 = cell67)) | ((TLH44975 = cell65) & (TLH44974 = cell66)) | ((TLH44975 = cell64) & (TLH44974 = cell65)) | ((TLH44975 = cell63) & (TLH44974 = cell64)) | ((TLH44975 = cell62) & (TLH44974 = cell63)) | ((TLH44975 = cell61) & (TLH44974 = cell62)) | ((TLH44975 = cell59) & (TLH44974 = cell60)) | ((TLH44975 = cell58) & (TLH44974 = cell59)) | ((TLH44975 = cell57) & (TLH44974 = cell58)) | ((TLH44975 = cell56) & (TLH44974 = cell57)) | ((TLH44975 = cell55) & (TLH44974 = cell56)) | ((TLH44975 = cell54) & (TLH44974 = cell55)) | ((TLH44975 = cell53) & (TLH44974 = cell54)) | ((TLH44975 = cell52) & (TLH44974 = cell53)) | ((TLH44975 = cell51) & (TLH44974 = cell52)) | ((TLH44975 = cell49) & (TLH44974 = cell50)) | ((TLH44975 = cell48) & (TLH44974 = cell49)) | ((TLH44975 = cell47) & (TLH44974 = cell48)) | ((TLH44975 = cell46) & (TLH44974 = cell47)) | ((TLH44975 = cell45) & (TLH44974 = cell46)) | ((TLH44975 = cell44) & (TLH44974 = cell45)) | ((TLH44975 = cell43) & (TLH44974 = cell44)) | ((TLH44975 = cell42) & (TLH44974 = cell43)) | ((TLH44975 = cell41) & (TLH44974 = cell42)) | ((TLH44975 = cell39) & (TLH44974 = cell40)) | ((TLH44975 = cell38) & (TLH44974 = cell39)) | ((TLH44975 = cell37) & (TLH44974 = cell38)) | ((TLH44975 = cell36) & (TLH44974 = cell37)) | ((TLH44975 = cell35) & (TLH44974 = cell36)) | ((TLH44975 = cell34) & (TLH44974 = cell35)) | ((TLH44975 = cell33) & (TLH44974 = cell34)) | ((TLH44975 = cell32) & (TLH44974 = cell33)) | ((TLH44975 = cell31) & (TLH44974 = cell32)) | ((TLH44975 = cell29) & (TLH44974 = cell30)) | ((TLH44975 = cell28) & (TLH44974 = cell29)) | ((TLH44975 = cell27) & (TLH44974 = cell28)) | ((TLH44975 = cell26) & (TLH44974 = cell27)) | ((TLH44975 = cell25) & (TLH44974 = cell26)) | ((TLH44975 = cell24) & (TLH44974 = cell25)) | ((TLH44975 = cell23) & (TLH44974 = cell24)) | ((TLH44975 = cell22) & (TLH44974 = cell23)) | ((TLH44975 = cell21) & (TLH44974 = cell22)) | ((TLH44975 = cell19) & (TLH44974 = cell20)) | ((TLH44975 = cell18) & (TLH44974 = cell19)) | ((TLH44975 = cell17) & (TLH44974 = cell18)) | ((TLH44975 = cell16) & (TLH44974 = cell17)) | ((TLH44975 = cell15) & (TLH44974 = cell16)) | ((TLH44975 = cell14) & (TLH44974 = cell15)) | ((TLH44975 = cell13) & (TLH44974 = cell14)) | ((TLH44975 = cell12) & (TLH44974 = cell13)) | ((TLH44975 = cell11) & (TLH44974 = cell12)) | ((TLH44975 = cell9) & (TLH44974 = cell10)) | ((TLH44975 = cell8) & (TLH44974 = cell9)) | ((TLH44975 = cell7) & (TLH44974 = cell8)) | ((TLH44975 = cell6) & (TLH44974 = cell7)) | ((TLH44975 = cell5) & (TLH44974 = cell6)) | ((TLH44975 = cell4) & (TLH44974 = cell5)) | ((TLH44975 = cell3) & (TLH44974 = cell4)) | ((TLH44975 = cell2) & (TLH44974 = cell3)) | ((TLH44975 = cell1) & (TLH44974 = cell2))))),
% 0.64/0.82 inference(rewrite,[status(thm)],[])).
% 0.64/0.82 tff(2094,plain,
% 0.64/0.82 (^[TLH44974: $i, TLH44975: $i] : rewrite((edge(TLH44975, TLH44974) <=> (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((TLH44975 = cell1) & (TLH44974 = cell2)) | ((TLH44975 = cell2) & (TLH44974 = cell3))) | ((TLH44975 = cell3) & (TLH44974 = cell4))) | ((TLH44975 = cell4) & (TLH44974 = cell5))) | ((TLH44975 = cell5) & (TLH44974 = cell6))) | ((TLH44975 = cell6) & (TLH44974 = cell7))) | ((TLH44975 = cell7) & (TLH44974 = cell8))) | ((TLH44975 = cell8) & (TLH44974 = cell9))) | ((TLH44975 = cell9) & (TLH44974 = cell10))) | ((TLH44975 = cell11) & (TLH44974 = cell12))) | ((TLH44975 = cell12) & (TLH44974 = cell13))) | ((TLH44975 = cell13) & (TLH44974 = cell14))) | ((TLH44975 = cell14) & (TLH44974 = cell15))) | ((TLH44975 = cell15) & (TLH44974 = cell16))) | ((TLH44975 = cell16) & (TLH44974 = cell17))) | ((TLH44975 = cell17) & (TLH44974 = cell18))) | ((TLH44975 = cell18) & (TLH44974 = cell19))) | ((TLH44975 = cell19) & (TLH44974 = cell20))) | ((TLH44975 = cell21) & (TLH44974 = cell22))) | ((TLH44975 = cell22) & (TLH44974 = cell23))) | ((TLH44975 = cell23) & (TLH44974 = cell24))) | ((TLH44975 = cell24) & (TLH44974 = cell25))) | ((TLH44975 = cell25) & (TLH44974 = cell26))) | ((TLH44975 = cell26) & (TLH44974 = cell27))) | ((TLH44975 = cell27) & (TLH44974 = cell28))) | ((TLH44975 = cell28) & (TLH44974 = cell29))) | ((TLH44975 = cell29) & (TLH44974 = cell30))) | ((TLH44975 = cell31) & (TLH44974 = cell32))) | ((TLH44975 = cell32) & (TLH44974 = cell33))) | ((TLH44975 = cell33) & (TLH44974 = cell34))) | ((TLH44975 = cell34) & (TLH44974 = cell35))) | ((TLH44975 = cell35) & (TLH44974 = cell36))) | ((TLH44975 = cell36) & (TLH44974 = cell37))) | ((TLH44975 = cell37) & (TLH44974 = cell38))) | ((TLH44975 = cell38) & (TLH44974 = cell39))) | ((TLH44975 = cell39) & (TLH44974 = cell40))) | ((TLH44975 = cell41) & (TLH44974 = cell42))) | ((TLH44975 = cell42) & (TLH44974 = cell43))) | ((TLH44975 = cell43) & (TLH44974 = cell44))) | ((TLH44975 = cell44) & (TLH44974 = cell45))) | ((TLH44975 = cell45) & (TLH44974 = cell46))) | ((TLH44975 = cell46) & (TLH44974 = cell47))) | ((TLH44975 = cell47) & (TLH44974 = cell48))) | ((TLH44975 = cell48) & (TLH44974 = cell49))) | ((TLH44975 = cell49) & (TLH44974 = cell50))) | ((TLH44975 = cell51) & (TLH44974 = cell52))) | ((TLH44975 = cell52) & (TLH44974 = cell53))) | ((TLH44975 = cell53) & (TLH44974 = cell54))) | ((TLH44975 = cell54) & (TLH44974 = cell55))) | ((TLH44975 = cell55) & (TLH44974 = cell56))) | ((TLH44975 = cell56) & (TLH44974 = cell57))) | ((TLH44975 = cell57) & (TLH44974 = cell58))) | ((TLH44975 = cell58) & (TLH44974 = cell59))) | ((TLH44975 = cell59) & (TLH44974 = cell60))) | ((TLH44975 = cell61) & (TLH44974 = cell62))) | ((TLH44975 = cell62) & (TLH44974 = cell63))) | ((TLH44975 = cell63) & (TLH44974 = cell64))) | ((TLH44975 = cell64) & (TLH44974 = cell65))) | ((TLH44975 = cell65) & (TLH44974 = cell66))) | ((TLH44975 = cell66) & (TLH44974 = cell67))) | ((TLH44975 = cell67) & (TLH44974 = cell68))) | ((TLH44975 = cell68) & (TLH44974 = cell69))) | ((TLH44975 = cell69) & (TLH44974 = cell70))) | ((TLH44975 = cell71) & (TLH44974 = cell72))) | ((TLH44975 = cell72) & (TLH44974 = cell73))) | ((TLH44975 = cell73) & (TLH44974 = cell74))) | ((TLH44975 = cell74) & (TLH44974 = cell75))) | ((TLH44975 = cell75) & (TLH44974 = cell76))) | ((TLH44975 = cell76) & (TLH44974 = cell77))) | ((TLH44975 = cell77) & (TLH44974 = cell78))) | ((TLH44975 = cell78) & (TLH44974 = cell79))) | ((TLH44975 = cell79) & (TLH44974 = cell80))) | ((TLH44975 = cell81) & (TLH44974 = cell82))) | ((TLH44975 = cell82) & (TLH44974 = cell83))) | ((TLH44975 = cell83) & (TLH44974 = cell84))) | ((TLH44975 = cell84) & (TLH44974 = cell85))) | ((TLH44975 = cell85) & (TLH44974 = cell86))) | ((TLH44975 = cell86) & (TLH44974 = cell87))) | ((TLH44975 = cell87) & (TLH44974 = cell88))) | ((TLH44975 = cell88) & (TLH44974 = cell89))) | ((TLH44975 = cell89) & (TLH44974 = cell90))) | ((TLH44975 = cell91) & (TLH44974 = cell92))) | ((TLH44975 = cell92) & (TLH44974 = cell93))) | ((TLH44975 = cell93) & (TLH44974 = cell94))) | ((TLH44975 = cell94) & (TLH44974 = cell95))) | ((TLH44975 = cell95) & (TLH44974 = cell96))) | ((TLH44975 = cell96) & (TLH44974 = cell97))) | ((TLH44975 = cell97) & (TLH44974 = cell98))) | ((TLH44975 = cell98) & (TLH44974 = cell99))) | ((TLH44975 = cell99) & (TLH44974 = cell100))) | ((TLH44975 = cell1) & (TLH44974 = cell11))) | ((TLH44975 = cell2) & (TLH44974 = cell12))) | ((TLH44975 = cell3) & (TLH44974 = cell13))) | ((TLH44975 = cell4) & (TLH44974 = cell14))) | ((TLH44975 = cell5) & (TLH44974 = cell15))) | ((TLH44975 = cell6) & (TLH44974 = cell16))) | ((TLH44975 = cell7) & (TLH44974 = cell17))) | ((TLH44975 = cell8) & (TLH44974 = cell18))) | ((TLH44975 = cell9) & (TLH44974 = cell19))) | ((TLH44975 = cell10) & (TLH44974 = cell20))) | ((TLH44975 = cell11) & (TLH44974 = cell21))) | ((TLH44975 = cell12) & (TLH44974 = cell22))) | ((TLH44975 = cell13) & (TLH44974 = cell23))) | ((TLH44975 = cell14) & (TLH44974 = cell24))) | ((TLH44975 = cell15) & (TLH44974 = cell25))) | ((TLH44975 = cell16) & (TLH44974 = cell26))) | ((TLH44975 = cell17) & (TLH44974 = cell27))) | ((TLH44975 = cell18) & (TLH44974 = cell28))) | ((TLH44975 = cell19) & (TLH44974 = cell29))) | ((TLH44975 = cell20) & (TLH44974 = cell30))) | ((TLH44975 = cell21) & (TLH44974 = cell31))) | ((TLH44975 = cell22) & (TLH44974 = cell32))) | ((TLH44975 = cell23) & (TLH44974 = cell33))) | ((TLH44975 = cell24) & (TLH44974 = cell34))) | ((TLH44975 = cell25) & (TLH44974 = cell35))) | ((TLH44975 = cell26) & (TLH44974 = cell36))) | ((TLH44975 = cell27) & (TLH44974 = cell37))) | ((TLH44975 = cell28) & (TLH44974 = cell38))) | ((TLH44975 = cell29) & (TLH44974 = cell39))) | ((TLH44975 = cell30) & (TLH44974 = cell40))) | ((TLH44975 = cell31) & (TLH44974 = cell41))) | ((TLH44975 = cell32) & (TLH44974 = cell42))) | ((TLH44975 = cell33) & (TLH44974 = cell43))) | ((TLH44975 = cell34) & (TLH44974 = cell44))) | ((TLH44975 = cell35) & (TLH44974 = cell45))) | ((TLH44975 = cell36) & (TLH44974 = cell46))) | ((TLH44975 = cell37) & (TLH44974 = cell47))) | ((TLH44975 = cell38) & (TLH44974 = cell48))) | ((TLH44975 = cell39) & (TLH44974 = cell49))) | ((TLH44975 = cell40) & (TLH44974 = cell50))) | ((TLH44975 = cell41) & (TLH44974 = cell51))) | ((TLH44975 = cell42) & (TLH44974 = cell52))) | ((TLH44975 = cell43) & (TLH44974 = cell53))) | ((TLH44975 = cell44) & (TLH44974 = cell54))) | ((TLH44975 = cell45) & (TLH44974 = cell55))) | ((TLH44975 = cell46) & (TLH44974 = cell56))) | ((TLH44975 = cell47) & (TLH44974 = cell57))) | ((TLH44975 = cell48) & (TLH44974 = cell58))) | ((TLH44975 = cell49) & (TLH44974 = cell59))) | ((TLH44975 = cell50) & (TLH44974 = cell60))) | ((TLH44975 = cell51) & (TLH44974 = cell61))) | ((TLH44975 = cell52) & (TLH44974 = cell62))) | ((TLH44975 = cell53) & (TLH44974 = cell63))) | ((TLH44975 = cell54) & (TLH44974 = cell64))) | ((TLH44975 = cell55) & (TLH44974 = cell65))) | ((TLH44975 = cell56) & (TLH44974 = cell66))) | ((TLH44975 = cell57) & (TLH44974 = cell67))) | ((TLH44975 = cell58) & (TLH44974 = cell68))) | ((TLH44975 = cell59) & (TLH44974 = cell69))) | ((TLH44975 = cell60) & (TLH44974 = cell70))) | ((TLH44975 = cell61) & (TLH44974 = cell71))) | ((TLH44975 = cell62) & (TLH44974 = cell72))) | ((TLH44975 = cell63) & (TLH44974 = cell73))) | ((TLH44975 = cell64) & (TLH44974 = cell74))) | ((TLH44975 = cell65) & (TLH44974 = cell75))) | ((TLH44975 = cell66) & (TLH44974 = cell76))) | ((TLH44975 = cell67) & (TLH44974 = cell77))) | ((TLH44975 = cell68) & (TLH44974 = cell78))) | ((TLH44975 = cell69) & (TLH44974 = cell79))) | ((TLH44975 = cell70) & (TLH44974 = cell80))) | ((TLH44975 = cell71) & (TLH44974 = cell81))) | ((TLH44975 = cell72) & (TLH44974 = cell82))) | ((TLH44975 = cell73) & (TLH44974 = cell83))) | ((TLH44975 = cell74) & (TLH44974 = cell84))) | ((TLH44975 = cell75) & (TLH44974 = cell85))) | ((TLH44975 = cell76) & (TLH44974 = cell86))) | ((TLH44975 = cell77) & (TLH44974 = cell87))) | ((TLH44975 = cell78) & (TLH44974 = cell88))) | ((TLH44975 = cell79) & (TLH44974 = cell89))) | ((TLH44975 = cell80) & (TLH44974 = cell90))) | ((TLH44975 = cell81) & (TLH44974 = cell91))) | ((TLH44975 = cell82) & (TLH44974 = cell92))) | ((TLH44975 = cell83) & (TLH44974 = cell93))) | ((TLH44975 = cell84) & (TLH44974 = cell94))) | ((TLH44975 = cell85) & (TLH44974 = cell95))) | ((TLH44975 = cell86) & (TLH44974 = cell96))) | ((TLH44975 = cell87) & (TLH44974 = cell97))) | ((TLH44975 = cell88) & (TLH44974 = cell98))) | ((TLH44975 = cell89) & (TLH44974 = cell99))) | ((TLH44975 = cell90) & (TLH44974 = cell100)))) <=> (edge(TLH44975, TLH44974) <=> (((TLH44975 = cell90) & (TLH44974 = cell100)) | ((TLH44975 = cell89) & (TLH44974 = cell99)) | ((TLH44975 = cell88) & (TLH44974 = cell98)) | ((TLH44975 = cell87) & (TLH44974 = cell97)) | ((TLH44975 = cell86) & (TLH44974 = cell96)) | ((TLH44975 = cell85) & (TLH44974 = cell95)) | ((TLH44975 = cell84) & (TLH44974 = cell94)) | ((TLH44975 = cell83) & (TLH44974 = cell93)) | ((TLH44975 = cell82) & (TLH44974 = cell92)) | ((TLH44975 = cell81) & (TLH44974 = cell91)) | ((TLH44975 = cell80) & (TLH44974 = cell90)) | ((TLH44975 = cell79) & (TLH44974 = cell89)) | ((TLH44975 = cell78) & (TLH44974 = cell88)) | ((TLH44975 = cell77) & (TLH44974 = cell87)) | ((TLH44975 = cell76) & (TLH44974 = cell86)) | ((TLH44975 = cell75) & (TLH44974 = cell85)) | ((TLH44975 = cell74) & (TLH44974 = cell84)) | ((TLH44975 = cell73) & (TLH44974 = cell83)) | ((TLH44975 = cell72) & (TLH44974 = cell82)) | ((TLH44975 = cell71) & (TLH44974 = cell81)) | ((TLH44975 = cell70) & (TLH44974 = cell80)) | ((TLH44975 = cell69) & (TLH44974 = cell79)) | ((TLH44975 = cell68) & (TLH44974 = cell78)) | ((TLH44975 = cell67) & (TLH44974 = cell77)) | ((TLH44975 = cell66) & (TLH44974 = cell76)) | ((TLH44975 = cell65) & (TLH44974 = cell75)) | ((TLH44975 = cell64) & (TLH44974 = cell74)) | ((TLH44975 = cell63) & (TLH44974 = cell73)) | ((TLH44975 = cell62) & (TLH44974 = cell72)) | ((TLH44975 = cell61) & (TLH44974 = cell71)) | ((TLH44975 = cell60) & (TLH44974 = cell70)) | ((TLH44975 = cell59) & (TLH44974 = cell69)) | ((TLH44975 = cell58) & (TLH44974 = cell68)) | ((TLH44975 = cell57) & (TLH44974 = cell67)) | ((TLH44975 = cell56) & (TLH44974 = cell66)) | ((TLH44975 = cell55) & (TLH44974 = cell65)) | ((TLH44975 = cell54) & (TLH44974 = cell64)) | ((TLH44975 = cell53) & (TLH44974 = cell63)) | ((TLH44975 = cell52) & (TLH44974 = cell62)) | ((TLH44975 = cell51) & (TLH44974 = cell61)) | ((TLH44975 = cell50) & (TLH44974 = cell60)) | ((TLH44975 = cell49) & (TLH44974 = cell59)) | ((TLH44975 = cell48) & (TLH44974 = cell58)) | ((TLH44975 = cell47) & (TLH44974 = cell57)) | ((TLH44975 = cell46) & (TLH44974 = cell56)) | ((TLH44975 = cell45) & (TLH44974 = cell55)) | ((TLH44975 = cell44) & (TLH44974 = cell54)) | ((TLH44975 = cell43) & (TLH44974 = cell53)) | ((TLH44975 = cell42) & (TLH44974 = cell52)) | ((TLH44975 = cell41) & (TLH44974 = cell51)) | ((TLH44975 = cell40) & (TLH44974 = cell50)) | ((TLH44975 = cell39) & (TLH44974 = cell49)) | ((TLH44975 = cell38) & (TLH44974 = cell48)) | ((TLH44975 = cell37) & (TLH44974 = cell47)) | ((TLH44975 = cell36) & (TLH44974 = cell46)) | ((TLH44975 = cell35) & (TLH44974 = cell45)) | ((TLH44975 = cell34) & (TLH44974 = cell44)) | ((TLH44975 = cell33) & (TLH44974 = cell43)) | ((TLH44975 = cell32) & (TLH44974 = cell42)) | ((TLH44975 = cell31) & (TLH44974 = cell41)) | ((TLH44975 = cell30) & (TLH44974 = cell40)) | ((TLH44975 = cell29) & (TLH44974 = cell39)) | ((TLH44975 = cell28) & (TLH44974 = cell38)) | ((TLH44975 = cell27) & (TLH44974 = cell37)) | ((TLH44975 = cell26) & (TLH44974 = cell36)) | ((TLH44975 = cell25) & (TLH44974 = cell35)) | ((TLH44975 = cell24) & (TLH44974 = cell34)) | ((TLH44975 = cell23) & (TLH44974 = cell33)) | ((TLH44975 = cell22) & (TLH44974 = cell32)) | ((TLH44975 = cell21) & (TLH44974 = cell31)) | ((TLH44975 = cell20) & (TLH44974 = cell30)) | ((TLH44975 = cell19) & (TLH44974 = cell29)) | ((TLH44975 = cell18) & (TLH44974 = cell28)) | ((TLH44975 = cell17) & (TLH44974 = cell27)) | ((TLH44975 = cell16) & (TLH44974 = cell26)) | ((TLH44975 = cell15) & (TLH44974 = cell25)) | ((TLH44975 = cell14) & (TLH44974 = cell24)) | ((TLH44975 = cell13) & (TLH44974 = cell23)) | ((TLH44975 = cell12) & (TLH44974 = cell22)) | ((TLH44975 = cell11) & (TLH44974 = cell21)) | ((TLH44975 = cell10) & (TLH44974 = cell20)) | ((TLH44975 = cell9) & (TLH44974 = cell19)) | ((TLH44975 = cell8) & (TLH44974 = cell18)) | ((TLH44975 = cell7) & (TLH44974 = cell17)) | ((TLH44975 = cell6) & (TLH44974 = cell16)) | ((TLH44975 = cell5) & (TLH44974 = cell15)) | ((TLH44975 = cell4) & (TLH44974 = cell14)) | ((TLH44975 = cell3) & (TLH44974 = cell13)) | ((TLH44975 = cell2) & (TLH44974 = cell12)) | ((TLH44975 = cell1) & (TLH44974 = cell11)) | ((TLH44975 = cell99) & (TLH44974 = cell100)) | ((TLH44975 = cell98) & (TLH44974 = cell99)) | ((TLH44975 = cell97) & (TLH44974 = cell98)) | ((TLH44975 = cell96) & (TLH44974 = cell97)) | ((TLH44975 = cell95) & (TLH44974 = cell96)) | ((TLH44975 = cell94) & (TLH44974 = cell95)) | ((TLH44975 = cell93) & (TLH44974 = cell94)) | ((TLH44975 = cell92) & (TLH44974 = cell93)) | ((TLH44975 = cell91) & (TLH44974 = cell92)) | ((TLH44975 = cell89) & (TLH44974 = cell90)) | ((TLH44975 = cell88) & (TLH44974 = cell89)) | ((TLH44975 = cell87) & (TLH44974 = cell88)) | ((TLH44975 = cell86) & (TLH44974 = cell87)) | ((TLH44975 = cell85) & (TLH44974 = cell86)) | ((TLH44975 = cell84) & (TLH44974 = cell85)) | ((TLH44975 = cell83) & (TLH44974 = cell84)) | ((TLH44975 = cell82) & (TLH44974 = cell83)) | ((TLH44975 = cell81) & (TLH44974 = cell82)) | ((TLH44975 = cell79) & (TLH44974 = cell80)) | ((TLH44975 = cell78) & (TLH44974 = cell79)) | ((TLH44975 = cell77) & (TLH44974 = cell78)) | ((TLH44975 = cell76) & (TLH44974 = cell77)) | ((TLH44975 = cell75) & (TLH44974 = cell76)) | ((TLH44975 = cell74) & (TLH44974 = cell75)) | ((TLH44975 = cell73) & (TLH44974 = cell74)) | ((TLH44975 = cell72) & (TLH44974 = cell73)) | ((TLH44975 = cell71) & (TLH44974 = cell72)) | ((TLH44975 = cell69) & (TLH44974 = cell70)) | ((TLH44975 = cell68) & (TLH44974 = cell69)) | ((TLH44975 = cell67) & (TLH44974 = cell68)) | ((TLH44975 = cell66) & (TLH44974 = cell67)) | ((TLH44975 = cell65) & (TLH44974 = cell66)) | ((TLH44975 = cell64) & (TLH44974 = cell65)) | ((TLH44975 = cell63) & (TLH44974 = cell64)) | ((TLH44975 = cell62) & (TLH44974 = cell63)) | ((TLH44975 = cell61) & (TLH44974 = cell62)) | ((TLH44975 = cell59) & (TLH44974 = cell60)) | ((TLH44975 = cell58) & (TLH44974 = cell59)) | ((TLH44975 = cell57) & (TLH44974 = cell58)) | ((TLH44975 = cell56) & (TLH44974 = cell57)) | ((TLH44975 = cell55) & (TLH44974 = cell56)) | ((TLH44975 = cell54) & (TLH44974 = cell55)) | ((TLH44975 = cell53) & (TLH44974 = cell54)) | ((TLH44975 = cell52) & (TLH44974 = cell53)) | ((TLH44975 = cell51) & (TLH44974 = cell52)) | ((TLH44975 = cell49) & (TLH44974 = cell50)) | ((TLH44975 = cell48) & (TLH44974 = cell49)) | ((TLH44975 = cell47) & (TLH44974 = cell48)) | ((TLH44975 = cell46) & (TLH44974 = cell47)) | ((TLH44975 = cell45) & (TLH44974 = cell46)) | ((TLH44975 = cell44) & (TLH44974 = cell45)) | ((TLH44975 = cell43) & (TLH44974 = cell44)) | ((TLH44975 = cell42) & (TLH44974 = cell43)) | ((TLH44975 = cell41) & (TLH44974 = cell42)) | ((TLH44975 = cell39) & (TLH44974 = cell40)) | ((TLH44975 = cell38) & (TLH44974 = cell39)) | ((TLH44975 = cell37) & (TLH44974 = cell38)) | ((TLH44975 = cell36) & (TLH44974 = cell37)) | ((TLH44975 = cell35) & (TLH44974 = cell36)) | ((TLH44975 = cell34) & (TLH44974 = cell35)) | ((TLH44975 = cell33) & (TLH44974 = cell34)) | ((TLH44975 = cell32) & (TLH44974 = cell33)) | ((TLH44975 = cell31) & (TLH44974 = cell32)) | ((TLH44975 = cell29) & (TLH44974 = cell30)) | ((TLH44975 = cell28) & (TLH44974 = cell29)) | ((TLH44975 = cell27) & (TLH44974 = cell28)) | ((TLH44975 = cell26) & (TLH44974 = cell27)) | ((TLH44975 = cell25) & (TLH44974 = cell26)) | ((TLH44975 = cell24) & (TLH44974 = cell25)) | ((TLH44975 = cell23) & (TLH44974 = cell24)) | ((TLH44975 = cell22) & (TLH44974 = cell23)) | ((TLH44975 = cell21) & (TLH44974 = cell22)) | ((TLH44975 = cell19) & (TLH44974 = cell20)) | ((TLH44975 = cell18) & (TLH44974 = cell19)) | ((TLH44975 = cell17) & (TLH44974 = cell18)) | ((TLH44975 = cell16) & (TLH44974 = cell17)) | ((TLH44975 = cell15) & (TLH44974 = cell16)) | ((TLH44975 = cell14) & (TLH44974 = cell15)) | ((TLH44975 = cell13) & (TLH44974 = cell14)) | ((TLH44975 = cell12) & (TLH44974 = cell13)) | ((TLH44975 = cell11) & (TLH44974 = cell12)) | ((TLH44975 = cell9) & (TLH44974 = cell10)) | ((TLH44975 = cell8) & (TLH44974 = cell9)) | ((TLH44975 = cell7) & (TLH44974 = cell8)) | ((TLH44975 = cell6) & (TLH44974 = cell7)) | ((TLH44975 = cell5) & (TLH44974 = cell6)) | ((TLH44975 = cell4) & (TLH44974 = cell5)) | ((TLH44975 = cell3) & (TLH44974 = cell4)) | ((TLH44975 = cell2) & (TLH44974 = cell3)) | ((TLH44975 = cell1) & (TLH44974 = cell2)))))),
% 0.64/0.82 inference(bind,[status(th)],[])).
% 0.64/0.82 tff(2095,plain,
% 0.64/0.82 (![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((TLH44975 = cell1) & (TLH44974 = cell2)) | ((TLH44975 = cell2) & (TLH44974 = cell3))) | ((TLH44975 = cell3) & (TLH44974 = cell4))) | ((TLH44975 = cell4) & (TLH44974 = cell5))) | ((TLH44975 = cell5) & (TLH44974 = cell6))) | ((TLH44975 = cell6) & (TLH44974 = cell7))) | ((TLH44975 = cell7) & (TLH44974 = cell8))) | ((TLH44975 = cell8) & (TLH44974 = cell9))) | ((TLH44975 = cell9) & (TLH44974 = cell10))) | ((TLH44975 = cell11) & (TLH44974 = cell12))) | ((TLH44975 = cell12) & (TLH44974 = cell13))) | ((TLH44975 = cell13) & (TLH44974 = cell14))) | ((TLH44975 = cell14) & (TLH44974 = cell15))) | ((TLH44975 = cell15) & (TLH44974 = cell16))) | ((TLH44975 = cell16) & (TLH44974 = cell17))) | ((TLH44975 = cell17) & (TLH44974 = cell18))) | ((TLH44975 = cell18) & (TLH44974 = cell19))) | ((TLH44975 = cell19) & (TLH44974 = cell20))) | ((TLH44975 = cell21) & (TLH44974 = cell22))) | ((TLH44975 = cell22) & (TLH44974 = cell23))) | ((TLH44975 = cell23) & (TLH44974 = cell24))) | ((TLH44975 = cell24) & (TLH44974 = cell25))) | ((TLH44975 = cell25) & (TLH44974 = cell26))) | ((TLH44975 = cell26) & (TLH44974 = cell27))) | ((TLH44975 = cell27) & (TLH44974 = cell28))) | ((TLH44975 = cell28) & (TLH44974 = cell29))) | ((TLH44975 = cell29) & (TLH44974 = cell30))) | ((TLH44975 = cell31) & (TLH44974 = cell32))) | ((TLH44975 = cell32) & (TLH44974 = cell33))) | ((TLH44975 = cell33) & (TLH44974 = cell34))) | ((TLH44975 = cell34) & (TLH44974 = cell35))) | ((TLH44975 = cell35) & (TLH44974 = cell36))) | ((TLH44975 = cell36) & (TLH44974 = cell37))) | ((TLH44975 = cell37) & (TLH44974 = cell38))) | ((TLH44975 = cell38) & (TLH44974 = cell39))) | ((TLH44975 = cell39) & (TLH44974 = cell40))) | ((TLH44975 = cell41) & (TLH44974 = cell42))) | ((TLH44975 = cell42) & (TLH44974 = cell43))) | ((TLH44975 = cell43) & (TLH44974 = cell44))) | ((TLH44975 = cell44) & (TLH44974 = cell45))) | ((TLH44975 = cell45) & (TLH44974 = cell46))) | ((TLH44975 = cell46) & (TLH44974 = cell47))) | ((TLH44975 = cell47) & (TLH44974 = cell48))) | ((TLH44975 = cell48) & (TLH44974 = cell49))) | ((TLH44975 = cell49) & (TLH44974 = cell50))) | ((TLH44975 = cell51) & (TLH44974 = cell52))) | ((TLH44975 = cell52) & (TLH44974 = cell53))) | ((TLH44975 = cell53) & (TLH44974 = cell54))) | ((TLH44975 = cell54) & (TLH44974 = cell55))) | ((TLH44975 = cell55) & (TLH44974 = cell56))) | ((TLH44975 = cell56) & (TLH44974 = cell57))) | ((TLH44975 = cell57) & (TLH44974 = cell58))) | ((TLH44975 = cell58) & (TLH44974 = cell59))) | ((TLH44975 = cell59) & (TLH44974 = cell60))) | ((TLH44975 = cell61) & (TLH44974 = cell62))) | ((TLH44975 = cell62) & (TLH44974 = cell63))) | ((TLH44975 = cell63) & (TLH44974 = cell64))) | ((TLH44975 = cell64) & (TLH44974 = cell65))) | ((TLH44975 = cell65) & (TLH44974 = cell66))) | ((TLH44975 = cell66) & (TLH44974 = cell67))) | ((TLH44975 = cell67) & (TLH44974 = cell68))) | ((TLH44975 = cell68) & (TLH44974 = cell69))) | ((TLH44975 = cell69) & (TLH44974 = cell70))) | ((TLH44975 = cell71) & (TLH44974 = cell72))) | ((TLH44975 = cell72) & (TLH44974 = cell73))) | ((TLH44975 = cell73) & (TLH44974 = cell74))) | ((TLH44975 = cell74) & (TLH44974 = cell75))) | ((TLH44975 = cell75) & (TLH44974 = cell76))) | ((TLH44975 = cell76) & (TLH44974 = cell77))) | ((TLH44975 = cell77) & (TLH44974 = cell78))) | ((TLH44975 = cell78) & (TLH44974 = cell79))) | ((TLH44975 = cell79) & (TLH44974 = cell80))) | ((TLH44975 = cell81) & (TLH44974 = cell82))) | ((TLH44975 = cell82) & (TLH44974 = cell83))) | ((TLH44975 = cell83) & (TLH44974 = cell84))) | ((TLH44975 = cell84) & (TLH44974 = cell85))) | ((TLH44975 = cell85) & (TLH44974 = cell86))) | ((TLH44975 = cell86) & (TLH44974 = cell87))) | ((TLH44975 = cell87) & (TLH44974 = cell88))) | ((TLH44975 = cell88) & (TLH44974 = cell89))) | ((TLH44975 = cell89) & (TLH44974 = cell90))) | ((TLH44975 = cell91) & (TLH44974 = cell92))) | ((TLH44975 = cell92) & (TLH44974 = cell93))) | ((TLH44975 = cell93) & (TLH44974 = cell94))) | ((TLH44975 = cell94) & (TLH44974 = cell95))) | ((TLH44975 = cell95) & (TLH44974 = cell96))) | ((TLH44975 = cell96) & (TLH44974 = cell97))) | ((TLH44975 = cell97) & (TLH44974 = cell98))) | ((TLH44975 = cell98) & (TLH44974 = cell99))) | ((TLH44975 = cell99) & (TLH44974 = cell100))) | ((TLH44975 = cell1) & (TLH44974 = cell11))) | ((TLH44975 = cell2) & (TLH44974 = cell12))) | ((TLH44975 = cell3) & (TLH44974 = cell13))) | ((TLH44975 = cell4) & (TLH44974 = cell14))) | ((TLH44975 = cell5) & (TLH44974 = cell15))) | ((TLH44975 = cell6) & (TLH44974 = cell16))) | ((TLH44975 = cell7) & (TLH44974 = cell17))) | ((TLH44975 = cell8) & (TLH44974 = cell18))) | ((TLH44975 = cell9) & (TLH44974 = cell19))) | ((TLH44975 = cell10) & (TLH44974 = cell20))) | ((TLH44975 = cell11) & (TLH44974 = cell21))) | ((TLH44975 = cell12) & (TLH44974 = cell22))) | ((TLH44975 = cell13) & (TLH44974 = cell23))) | ((TLH44975 = cell14) & (TLH44974 = cell24))) | ((TLH44975 = cell15) & (TLH44974 = cell25))) | ((TLH44975 = cell16) & (TLH44974 = cell26))) | ((TLH44975 = cell17) & (TLH44974 = cell27))) | ((TLH44975 = cell18) & (TLH44974 = cell28))) | ((TLH44975 = cell19) & (TLH44974 = cell29))) | ((TLH44975 = cell20) & (TLH44974 = cell30))) | ((TLH44975 = cell21) & (TLH44974 = cell31))) | ((TLH44975 = cell22) & (TLH44974 = cell32))) | ((TLH44975 = cell23) & (TLH44974 = cell33))) | ((TLH44975 = cell24) & (TLH44974 = cell34))) | ((TLH44975 = cell25) & (TLH44974 = cell35))) | ((TLH44975 = cell26) & (TLH44974 = cell36))) | ((TLH44975 = cell27) & (TLH44974 = cell37))) | ((TLH44975 = cell28) & (TLH44974 = cell38))) | ((TLH44975 = cell29) & (TLH44974 = cell39))) | ((TLH44975 = cell30) & (TLH44974 = cell40))) | ((TLH44975 = cell31) & (TLH44974 = cell41))) | ((TLH44975 = cell32) & (TLH44974 = cell42))) | ((TLH44975 = cell33) & (TLH44974 = cell43))) | ((TLH44975 = cell34) & (TLH44974 = cell44))) | ((TLH44975 = cell35) & (TLH44974 = cell45))) | ((TLH44975 = cell36) & (TLH44974 = cell46))) | ((TLH44975 = cell37) & (TLH44974 = cell47))) | ((TLH44975 = cell38) & (TLH44974 = cell48))) | ((TLH44975 = cell39) & (TLH44974 = cell49))) | ((TLH44975 = cell40) & (TLH44974 = cell50))) | ((TLH44975 = cell41) & (TLH44974 = cell51))) | ((TLH44975 = cell42) & (TLH44974 = cell52))) | ((TLH44975 = cell43) & (TLH44974 = cell53))) | ((TLH44975 = cell44) & (TLH44974 = cell54))) | ((TLH44975 = cell45) & (TLH44974 = cell55))) | ((TLH44975 = cell46) & (TLH44974 = cell56))) | ((TLH44975 = cell47) & (TLH44974 = cell57))) | ((TLH44975 = cell48) & (TLH44974 = cell58))) | ((TLH44975 = cell49) & (TLH44974 = cell59))) | ((TLH44975 = cell50) & (TLH44974 = cell60))) | ((TLH44975 = cell51) & (TLH44974 = cell61))) | ((TLH44975 = cell52) & (TLH44974 = cell62))) | ((TLH44975 = cell53) & (TLH44974 = cell63))) | ((TLH44975 = cell54) & (TLH44974 = cell64))) | ((TLH44975 = cell55) & (TLH44974 = cell65))) | ((TLH44975 = cell56) & (TLH44974 = cell66))) | ((TLH44975 = cell57) & (TLH44974 = cell67))) | ((TLH44975 = cell58) & (TLH44974 = cell68))) | ((TLH44975 = cell59) & (TLH44974 = cell69))) | ((TLH44975 = cell60) & (TLH44974 = cell70))) | ((TLH44975 = cell61) & (TLH44974 = cell71))) | ((TLH44975 = cell62) & (TLH44974 = cell72))) | ((TLH44975 = cell63) & (TLH44974 = cell73))) | ((TLH44975 = cell64) & (TLH44974 = cell74))) | ((TLH44975 = cell65) & (TLH44974 = cell75))) | ((TLH44975 = cell66) & (TLH44974 = cell76))) | ((TLH44975 = cell67) & (TLH44974 = cell77))) | ((TLH44975 = cell68) & (TLH44974 = cell78))) | ((TLH44975 = cell69) & (TLH44974 = cell79))) | ((TLH44975 = cell70) & (TLH44974 = cell80))) | ((TLH44975 = cell71) & (TLH44974 = cell81))) | ((TLH44975 = cell72) & (TLH44974 = cell82))) | ((TLH44975 = cell73) & (TLH44974 = cell83))) | ((TLH44975 = cell74) & (TLH44974 = cell84))) | ((TLH44975 = cell75) & (TLH44974 = cell85))) | ((TLH44975 = cell76) & (TLH44974 = cell86))) | ((TLH44975 = cell77) & (TLH44974 = cell87))) | ((TLH44975 = cell78) & (TLH44974 = cell88))) | ((TLH44975 = cell79) & (TLH44974 = cell89))) | ((TLH44975 = cell80) & (TLH44974 = cell90))) | ((TLH44975 = cell81) & (TLH44974 = cell91))) | ((TLH44975 = cell82) & (TLH44974 = cell92))) | ((TLH44975 = cell83) & (TLH44974 = cell93))) | ((TLH44975 = cell84) & (TLH44974 = cell94))) | ((TLH44975 = cell85) & (TLH44974 = cell95))) | ((TLH44975 = cell86) & (TLH44974 = cell96))) | ((TLH44975 = cell87) & (TLH44974 = cell97))) | ((TLH44975 = cell88) & (TLH44974 = cell98))) | ((TLH44975 = cell89) & (TLH44974 = cell99))) | ((TLH44975 = cell90) & (TLH44974 = cell100)))) <=> ![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> (((TLH44975 = cell90) & (TLH44974 = cell100)) | ((TLH44975 = cell89) & (TLH44974 = cell99)) | ((TLH44975 = cell88) & (TLH44974 = cell98)) | ((TLH44975 = cell87) & (TLH44974 = cell97)) | ((TLH44975 = cell86) & (TLH44974 = cell96)) | ((TLH44975 = cell85) & (TLH44974 = cell95)) | ((TLH44975 = cell84) & (TLH44974 = cell94)) | ((TLH44975 = cell83) & (TLH44974 = cell93)) | ((TLH44975 = cell82) & (TLH44974 = cell92)) | ((TLH44975 = cell81) & (TLH44974 = cell91)) | ((TLH44975 = cell80) & (TLH44974 = cell90)) | ((TLH44975 = cell79) & (TLH44974 = cell89)) | ((TLH44975 = cell78) & (TLH44974 = cell88)) | ((TLH44975 = cell77) & (TLH44974 = cell87)) | ((TLH44975 = cell76) & (TLH44974 = cell86)) | ((TLH44975 = cell75) & (TLH44974 = cell85)) | ((TLH44975 = cell74) & (TLH44974 = cell84)) | ((TLH44975 = cell73) & (TLH44974 = cell83)) | ((TLH44975 = cell72) & (TLH44974 = cell82)) | ((TLH44975 = cell71) & (TLH44974 = cell81)) | ((TLH44975 = cell70) & (TLH44974 = cell80)) | ((TLH44975 = cell69) & (TLH44974 = cell79)) | ((TLH44975 = cell68) & (TLH44974 = cell78)) | ((TLH44975 = cell67) & (TLH44974 = cell77)) | ((TLH44975 = cell66) & (TLH44974 = cell76)) | ((TLH44975 = cell65) & (TLH44974 = cell75)) | ((TLH44975 = cell64) & (TLH44974 = cell74)) | ((TLH44975 = cell63) & (TLH44974 = cell73)) | ((TLH44975 = cell62) & (TLH44974 = cell72)) | ((TLH44975 = cell61) & (TLH44974 = cell71)) | ((TLH44975 = cell60) & (TLH44974 = cell70)) | ((TLH44975 = cell59) & (TLH44974 = cell69)) | ((TLH44975 = cell58) & (TLH44974 = cell68)) | ((TLH44975 = cell57) & (TLH44974 = cell67)) | ((TLH44975 = cell56) & (TLH44974 = cell66)) | ((TLH44975 = cell55) & (TLH44974 = cell65)) | ((TLH44975 = cell54) & (TLH44974 = cell64)) | ((TLH44975 = cell53) & (TLH44974 = cell63)) | ((TLH44975 = cell52) & (TLH44974 = cell62)) | ((TLH44975 = cell51) & (TLH44974 = cell61)) | ((TLH44975 = cell50) & (TLH44974 = cell60)) | ((TLH44975 = cell49) & (TLH44974 = cell59)) | ((TLH44975 = cell48) & (TLH44974 = cell58)) | ((TLH44975 = cell47) & (TLH44974 = cell57)) | ((TLH44975 = cell46) & (TLH44974 = cell56)) | ((TLH44975 = cell45) & (TLH44974 = cell55)) | ((TLH44975 = cell44) & (TLH44974 = cell54)) | ((TLH44975 = cell43) & (TLH44974 = cell53)) | ((TLH44975 = cell42) & (TLH44974 = cell52)) | ((TLH44975 = cell41) & (TLH44974 = cell51)) | ((TLH44975 = cell40) & (TLH44974 = cell50)) | ((TLH44975 = cell39) & (TLH44974 = cell49)) | ((TLH44975 = cell38) & (TLH44974 = cell48)) | ((TLH44975 = cell37) & (TLH44974 = cell47)) | ((TLH44975 = cell36) & (TLH44974 = cell46)) | ((TLH44975 = cell35) & (TLH44974 = cell45)) | ((TLH44975 = cell34) & (TLH44974 = cell44)) | ((TLH44975 = cell33) & (TLH44974 = cell43)) | ((TLH44975 = cell32) & (TLH44974 = cell42)) | ((TLH44975 = cell31) & (TLH44974 = cell41)) | ((TLH44975 = cell30) & (TLH44974 = cell40)) | ((TLH44975 = cell29) & (TLH44974 = cell39)) | ((TLH44975 = cell28) & (TLH44974 = cell38)) | ((TLH44975 = cell27) & (TLH44974 = cell37)) | ((TLH44975 = cell26) & (TLH44974 = cell36)) | ((TLH44975 = cell25) & (TLH44974 = cell35)) | ((TLH44975 = cell24) & (TLH44974 = cell34)) | ((TLH44975 = cell23) & (TLH44974 = cell33)) | ((TLH44975 = cell22) & (TLH44974 = cell32)) | ((TLH44975 = cell21) & (TLH44974 = cell31)) | ((TLH44975 = cell20) & (TLH44974 = cell30)) | ((TLH44975 = cell19) & (TLH44974 = cell29)) | ((TLH44975 = cell18) & (TLH44974 = cell28)) | ((TLH44975 = cell17) & (TLH44974 = cell27)) | ((TLH44975 = cell16) & (TLH44974 = cell26)) | ((TLH44975 = cell15) & (TLH44974 = cell25)) | ((TLH44975 = cell14) & (TLH44974 = cell24)) | ((TLH44975 = cell13) & (TLH44974 = cell23)) | ((TLH44975 = cell12) & (TLH44974 = cell22)) | ((TLH44975 = cell11) & (TLH44974 = cell21)) | ((TLH44975 = cell10) & (TLH44974 = cell20)) | ((TLH44975 = cell9) & (TLH44974 = cell19)) | ((TLH44975 = cell8) & (TLH44974 = cell18)) | ((TLH44975 = cell7) & (TLH44974 = cell17)) | ((TLH44975 = cell6) & (TLH44974 = cell16)) | ((TLH44975 = cell5) & (TLH44974 = cell15)) | ((TLH44975 = cell4) & (TLH44974 = cell14)) | ((TLH44975 = cell3) & (TLH44974 = cell13)) | ((TLH44975 = cell2) & (TLH44974 = cell12)) | ((TLH44975 = cell1) & (TLH44974 = cell11)) | ((TLH44975 = cell99) & (TLH44974 = cell100)) | ((TLH44975 = cell98) & (TLH44974 = cell99)) | ((TLH44975 = cell97) & (TLH44974 = cell98)) | ((TLH44975 = cell96) & (TLH44974 = cell97)) | ((TLH44975 = cell95) & (TLH44974 = cell96)) | ((TLH44975 = cell94) & (TLH44974 = cell95)) | ((TLH44975 = cell93) & (TLH44974 = cell94)) | ((TLH44975 = cell92) & (TLH44974 = cell93)) | ((TLH44975 = cell91) & (TLH44974 = cell92)) | ((TLH44975 = cell89) & (TLH44974 = cell90)) | ((TLH44975 = cell88) & (TLH44974 = cell89)) | ((TLH44975 = cell87) & (TLH44974 = cell88)) | ((TLH44975 = cell86) & (TLH44974 = cell87)) | ((TLH44975 = cell85) & (TLH44974 = cell86)) | ((TLH44975 = cell84) & (TLH44974 = cell85)) | ((TLH44975 = cell83) & (TLH44974 = cell84)) | ((TLH44975 = cell82) & (TLH44974 = cell83)) | ((TLH44975 = cell81) & (TLH44974 = cell82)) | ((TLH44975 = cell79) & (TLH44974 = cell80)) | ((TLH44975 = cell78) & (TLH44974 = cell79)) | ((TLH44975 = cell77) & (TLH44974 = cell78)) | ((TLH44975 = cell76) & (TLH44974 = cell77)) | ((TLH44975 = cell75) & (TLH44974 = cell76)) | ((TLH44975 = cell74) & (TLH44974 = cell75)) | ((TLH44975 = cell73) & (TLH44974 = cell74)) | ((TLH44975 = cell72) & (TLH44974 = cell73)) | ((TLH44975 = cell71) & (TLH44974 = cell72)) | ((TLH44975 = cell69) & (TLH44974 = cell70)) | ((TLH44975 = cell68) & (TLH44974 = cell69)) | ((TLH44975 = cell67) & (TLH44974 = cell68)) | ((TLH44975 = cell66) & (TLH44974 = cell67)) | ((TLH44975 = cell65) & (TLH44974 = cell66)) | ((TLH44975 = cell64) & (TLH44974 = cell65)) | ((TLH44975 = cell63) & (TLH44974 = cell64)) | ((TLH44975 = cell62) & (TLH44974 = cell63)) | ((TLH44975 = cell61) & (TLH44974 = cell62)) | ((TLH44975 = cell59) & (TLH44974 = cell60)) | ((TLH44975 = cell58) & (TLH44974 = cell59)) | ((TLH44975 = cell57) & (TLH44974 = cell58)) | ((TLH44975 = cell56) & (TLH44974 = cell57)) | ((TLH44975 = cell55) & (TLH44974 = cell56)) | ((TLH44975 = cell54) & (TLH44974 = cell55)) | ((TLH44975 = cell53) & (TLH44974 = cell54)) | ((TLH44975 = cell52) & (TLH44974 = cell53)) | ((TLH44975 = cell51) & (TLH44974 = cell52)) | ((TLH44975 = cell49) & (TLH44974 = cell50)) | ((TLH44975 = cell48) & (TLH44974 = cell49)) | ((TLH44975 = cell47) & (TLH44974 = cell48)) | ((TLH44975 = cell46) & (TLH44974 = cell47)) | ((TLH44975 = cell45) & (TLH44974 = cell46)) | ((TLH44975 = cell44) & (TLH44974 = cell45)) | ((TLH44975 = cell43) & (TLH44974 = cell44)) | ((TLH44975 = cell42) & (TLH44974 = cell43)) | ((TLH44975 = cell41) & (TLH44974 = cell42)) | ((TLH44975 = cell39) & (TLH44974 = cell40)) | ((TLH44975 = cell38) & (TLH44974 = cell39)) | ((TLH44975 = cell37) & (TLH44974 = cell38)) | ((TLH44975 = cell36) & (TLH44974 = cell37)) | ((TLH44975 = cell35) & (TLH44974 = cell36)) | ((TLH44975 = cell34) & (TLH44974 = cell35)) | ((TLH44975 = cell33) & (TLH44974 = cell34)) | ((TLH44975 = cell32) & (TLH44974 = cell33)) | ((TLH44975 = cell31) & (TLH44974 = cell32)) | ((TLH44975 = cell29) & (TLH44974 = cell30)) | ((TLH44975 = cell28) & (TLH44974 = cell29)) | ((TLH44975 = cell27) & (TLH44974 = cell28)) | ((TLH44975 = cell26) & (TLH44974 = cell27)) | ((TLH44975 = cell25) & (TLH44974 = cell26)) | ((TLH44975 = cell24) & (TLH44974 = cell25)) | ((TLH44975 = cell23) & (TLH44974 = cell24)) | ((TLH44975 = cell22) & (TLH44974 = cell23)) | ((TLH44975 = cell21) & (TLH44974 = cell22)) | ((TLH44975 = cell19) & (TLH44974 = cell20)) | ((TLH44975 = cell18) & (TLH44974 = cell19)) | ((TLH44975 = cell17) & (TLH44974 = cell18)) | ((TLH44975 = cell16) & (TLH44974 = cell17)) | ((TLH44975 = cell15) & (TLH44974 = cell16)) | ((TLH44975 = cell14) & (TLH44974 = cell15)) | ((TLH44975 = cell13) & (TLH44974 = cell14)) | ((TLH44975 = cell12) & (TLH44974 = cell13)) | ((TLH44975 = cell11) & (TLH44974 = cell12)) | ((TLH44975 = cell9) & (TLH44974 = cell10)) | ((TLH44975 = cell8) & (TLH44974 = cell9)) | ((TLH44975 = cell7) & (TLH44974 = cell8)) | ((TLH44975 = cell6) & (TLH44974 = cell7)) | ((TLH44975 = cell5) & (TLH44974 = cell6)) | ((TLH44975 = cell4) & (TLH44974 = cell5)) | ((TLH44975 = cell3) & (TLH44974 = cell4)) | ((TLH44975 = cell2) & (TLH44974 = cell3)) | ((TLH44975 = cell1) & (TLH44974 = cell2))))),
% 0.64/0.83 inference(quant_intro,[status(thm)],[2094])).
% 0.64/0.83 tff(2096,axiom,(![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((TLH44975 = cell1) & (TLH44974 = cell2)) | ((TLH44975 = cell2) & (TLH44974 = cell3))) | ((TLH44975 = cell3) & (TLH44974 = cell4))) | ((TLH44975 = cell4) & (TLH44974 = cell5))) | ((TLH44975 = cell5) & (TLH44974 = cell6))) | ((TLH44975 = cell6) & (TLH44974 = cell7))) | ((TLH44975 = cell7) & (TLH44974 = cell8))) | ((TLH44975 = cell8) & (TLH44974 = cell9))) | ((TLH44975 = cell9) & (TLH44974 = cell10))) | ((TLH44975 = cell11) & (TLH44974 = cell12))) | ((TLH44975 = cell12) & (TLH44974 = cell13))) | ((TLH44975 = cell13) & (TLH44974 = cell14))) | ((TLH44975 = cell14) & (TLH44974 = cell15))) | ((TLH44975 = cell15) & (TLH44974 = cell16))) | ((TLH44975 = cell16) & (TLH44974 = cell17))) | ((TLH44975 = cell17) & (TLH44974 = cell18))) | ((TLH44975 = cell18) & (TLH44974 = cell19))) | ((TLH44975 = cell19) & (TLH44974 = cell20))) | ((TLH44975 = cell21) & (TLH44974 = cell22))) | ((TLH44975 = cell22) & (TLH44974 = cell23))) | ((TLH44975 = cell23) & (TLH44974 = cell24))) | ((TLH44975 = cell24) & (TLH44974 = cell25))) | ((TLH44975 = cell25) & (TLH44974 = cell26))) | ((TLH44975 = cell26) & (TLH44974 = cell27))) | ((TLH44975 = cell27) & (TLH44974 = cell28))) | ((TLH44975 = cell28) & (TLH44974 = cell29))) | ((TLH44975 = cell29) & (TLH44974 = cell30))) | ((TLH44975 = cell31) & (TLH44974 = cell32))) | ((TLH44975 = cell32) & (TLH44974 = cell33))) | ((TLH44975 = cell33) & (TLH44974 = cell34))) | ((TLH44975 = cell34) & (TLH44974 = cell35))) | ((TLH44975 = cell35) & (TLH44974 = cell36))) | ((TLH44975 = cell36) & (TLH44974 = cell37))) | ((TLH44975 = cell37) & (TLH44974 = cell38))) | ((TLH44975 = cell38) & (TLH44974 = cell39))) | ((TLH44975 = cell39) & (TLH44974 = cell40))) | ((TLH44975 = cell41) & (TLH44974 = cell42))) | ((TLH44975 = cell42) & (TLH44974 = cell43))) | ((TLH44975 = cell43) & (TLH44974 = cell44))) | ((TLH44975 = cell44) & (TLH44974 = cell45))) | ((TLH44975 = cell45) & (TLH44974 = cell46))) | ((TLH44975 = cell46) & (TLH44974 = cell47))) | ((TLH44975 = cell47) & (TLH44974 = cell48))) | ((TLH44975 = cell48) & (TLH44974 = cell49))) | ((TLH44975 = cell49) & (TLH44974 = cell50))) | ((TLH44975 = cell51) & (TLH44974 = cell52))) | ((TLH44975 = cell52) & (TLH44974 = cell53))) | ((TLH44975 = cell53) & (TLH44974 = cell54))) | ((TLH44975 = cell54) & (TLH44974 = cell55))) | ((TLH44975 = cell55) & (TLH44974 = cell56))) | ((TLH44975 = cell56) & (TLH44974 = cell57))) | ((TLH44975 = cell57) & (TLH44974 = cell58))) | ((TLH44975 = cell58) & (TLH44974 = cell59))) | ((TLH44975 = cell59) & (TLH44974 = cell60))) | ((TLH44975 = cell61) & (TLH44974 = cell62))) | ((TLH44975 = cell62) & (TLH44974 = cell63))) | ((TLH44975 = cell63) & (TLH44974 = cell64))) | ((TLH44975 = cell64) & (TLH44974 = cell65))) | ((TLH44975 = cell65) & (TLH44974 = cell66))) | ((TLH44975 = cell66) & (TLH44974 = cell67))) | ((TLH44975 = cell67) & (TLH44974 = cell68))) | ((TLH44975 = cell68) & (TLH44974 = cell69))) | ((TLH44975 = cell69) & (TLH44974 = cell70))) | ((TLH44975 = cell71) & (TLH44974 = cell72))) | ((TLH44975 = cell72) & (TLH44974 = cell73))) | ((TLH44975 = cell73) & (TLH44974 = cell74))) | ((TLH44975 = cell74) & (TLH44974 = cell75))) | ((TLH44975 = cell75) & (TLH44974 = cell76))) | ((TLH44975 = cell76) & (TLH44974 = cell77))) | ((TLH44975 = cell77) & (TLH44974 = cell78))) | ((TLH44975 = cell78) & (TLH44974 = cell79))) | ((TLH44975 = cell79) & (TLH44974 = cell80))) | ((TLH44975 = cell81) & (TLH44974 = cell82))) | ((TLH44975 = cell82) & (TLH44974 = cell83))) | ((TLH44975 = cell83) & (TLH44974 = cell84))) | ((TLH44975 = cell84) & (TLH44974 = cell85))) | ((TLH44975 = cell85) & (TLH44974 = cell86))) | ((TLH44975 = cell86) & (TLH44974 = cell87))) | ((TLH44975 = cell87) & (TLH44974 = cell88))) | ((TLH44975 = cell88) & (TLH44974 = cell89))) | ((TLH44975 = cell89) & (TLH44974 = cell90))) | ((TLH44975 = cell91) & (TLH44974 = cell92))) | ((TLH44975 = cell92) & (TLH44974 = cell93))) | ((TLH44975 = cell93) & (TLH44974 = cell94))) | ((TLH44975 = cell94) & (TLH44974 = cell95))) | ((TLH44975 = cell95) & (TLH44974 = cell96))) | ((TLH44975 = cell96) & (TLH44974 = cell97))) | ((TLH44975 = cell97) & (TLH44974 = cell98))) | ((TLH44975 = cell98) & (TLH44974 = cell99))) | ((TLH44975 = cell99) & (TLH44974 = cell100))) | ((TLH44975 = cell1) & (TLH44974 = cell11))) | ((TLH44975 = cell2) & (TLH44974 = cell12))) | ((TLH44975 = cell3) & (TLH44974 = cell13))) | ((TLH44975 = cell4) & (TLH44974 = cell14))) | ((TLH44975 = cell5) & (TLH44974 = cell15))) | ((TLH44975 = cell6) & (TLH44974 = cell16))) | ((TLH44975 = cell7) & (TLH44974 = cell17))) | ((TLH44975 = cell8) & (TLH44974 = cell18))) | ((TLH44975 = cell9) & (TLH44974 = cell19))) | ((TLH44975 = cell10) & (TLH44974 = cell20))) | ((TLH44975 = cell11) & (TLH44974 = cell21))) | ((TLH44975 = cell12) & (TLH44974 = cell22))) | ((TLH44975 = cell13) & (TLH44974 = cell23))) | ((TLH44975 = cell14) & (TLH44974 = cell24))) | ((TLH44975 = cell15) & (TLH44974 = cell25))) | ((TLH44975 = cell16) & (TLH44974 = cell26))) | ((TLH44975 = cell17) & (TLH44974 = cell27))) | ((TLH44975 = cell18) & (TLH44974 = cell28))) | ((TLH44975 = cell19) & (TLH44974 = cell29))) | ((TLH44975 = cell20) & (TLH44974 = cell30))) | ((TLH44975 = cell21) & (TLH44974 = cell31))) | ((TLH44975 = cell22) & (TLH44974 = cell32))) | ((TLH44975 = cell23) & (TLH44974 = cell33))) | ((TLH44975 = cell24) & (TLH44974 = cell34))) | ((TLH44975 = cell25) & (TLH44974 = cell35))) | ((TLH44975 = cell26) & (TLH44974 = cell36))) | ((TLH44975 = cell27) & (TLH44974 = cell37))) | ((TLH44975 = cell28) & (TLH44974 = cell38))) | ((TLH44975 = cell29) & (TLH44974 = cell39))) | ((TLH44975 = cell30) & (TLH44974 = cell40))) | ((TLH44975 = cell31) & (TLH44974 = cell41))) | ((TLH44975 = cell32) & (TLH44974 = cell42))) | ((TLH44975 = cell33) & (TLH44974 = cell43))) | ((TLH44975 = cell34) & (TLH44974 = cell44))) | ((TLH44975 = cell35) & (TLH44974 = cell45))) | ((TLH44975 = cell36) & (TLH44974 = cell46))) | ((TLH44975 = cell37) & (TLH44974 = cell47))) | ((TLH44975 = cell38) & (TLH44974 = cell48))) | ((TLH44975 = cell39) & (TLH44974 = cell49))) | ((TLH44975 = cell40) & (TLH44974 = cell50))) | ((TLH44975 = cell41) & (TLH44974 = cell51))) | ((TLH44975 = cell42) & (TLH44974 = cell52))) | ((TLH44975 = cell43) & (TLH44974 = cell53))) | ((TLH44975 = cell44) & (TLH44974 = cell54))) | ((TLH44975 = cell45) & (TLH44974 = cell55))) | ((TLH44975 = cell46) & (TLH44974 = cell56))) | ((TLH44975 = cell47) & (TLH44974 = cell57))) | ((TLH44975 = cell48) & (TLH44974 = cell58))) | ((TLH44975 = cell49) & (TLH44974 = cell59))) | ((TLH44975 = cell50) & (TLH44974 = cell60))) | ((TLH44975 = cell51) & (TLH44974 = cell61))) | ((TLH44975 = cell52) & (TLH44974 = cell62))) | ((TLH44975 = cell53) & (TLH44974 = cell63))) | ((TLH44975 = cell54) & (TLH44974 = cell64))) | ((TLH44975 = cell55) & (TLH44974 = cell65))) | ((TLH44975 = cell56) & (TLH44974 = cell66))) | ((TLH44975 = cell57) & (TLH44974 = cell67))) | ((TLH44975 = cell58) & (TLH44974 = cell68))) | ((TLH44975 = cell59) & (TLH44974 = cell69))) | ((TLH44975 = cell60) & (TLH44974 = cell70))) | ((TLH44975 = cell61) & (TLH44974 = cell71))) | ((TLH44975 = cell62) & (TLH44974 = cell72))) | ((TLH44975 = cell63) & (TLH44974 = cell73))) | ((TLH44975 = cell64) & (TLH44974 = cell74))) | ((TLH44975 = cell65) & (TLH44974 = cell75))) | ((TLH44975 = cell66) & (TLH44974 = cell76))) | ((TLH44975 = cell67) & (TLH44974 = cell77))) | ((TLH44975 = cell68) & (TLH44974 = cell78))) | ((TLH44975 = cell69) & (TLH44974 = cell79))) | ((TLH44975 = cell70) & (TLH44974 = cell80))) | ((TLH44975 = cell71) & (TLH44974 = cell81))) | ((TLH44975 = cell72) & (TLH44974 = cell82))) | ((TLH44975 = cell73) & (TLH44974 = cell83))) | ((TLH44975 = cell74) & (TLH44974 = cell84))) | ((TLH44975 = cell75) & (TLH44974 = cell85))) | ((TLH44975 = cell76) & (TLH44974 = cell86))) | ((TLH44975 = cell77) & (TLH44974 = cell87))) | ((TLH44975 = cell78) & (TLH44974 = cell88))) | ((TLH44975 = cell79) & (TLH44974 = cell89))) | ((TLH44975 = cell80) & (TLH44974 = cell90))) | ((TLH44975 = cell81) & (TLH44974 = cell91))) | ((TLH44975 = cell82) & (TLH44974 = cell92))) | ((TLH44975 = cell83) & (TLH44974 = cell93))) | ((TLH44975 = cell84) & (TLH44974 = cell94))) | ((TLH44975 = cell85) & (TLH44974 = cell95))) | ((TLH44975 = cell86) & (TLH44974 = cell96))) | ((TLH44975 = cell87) & (TLH44974 = cell97))) | ((TLH44975 = cell88) & (TLH44974 = cell98))) | ((TLH44975 = cell89) & (TLH44974 = cell99))) | ((TLH44975 = cell90) & (TLH44974 = cell100))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof44979')).
% 0.64/0.83 tff(2097,plain,
% 0.64/0.83 (![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> (((TLH44975 = cell90) & (TLH44974 = cell100)) | ((TLH44975 = cell89) & (TLH44974 = cell99)) | ((TLH44975 = cell88) & (TLH44974 = cell98)) | ((TLH44975 = cell87) & (TLH44974 = cell97)) | ((TLH44975 = cell86) & (TLH44974 = cell96)) | ((TLH44975 = cell85) & (TLH44974 = cell95)) | ((TLH44975 = cell84) & (TLH44974 = cell94)) | ((TLH44975 = cell83) & (TLH44974 = cell93)) | ((TLH44975 = cell82) & (TLH44974 = cell92)) | ((TLH44975 = cell81) & (TLH44974 = cell91)) | ((TLH44975 = cell80) & (TLH44974 = cell90)) | ((TLH44975 = cell79) & (TLH44974 = cell89)) | ((TLH44975 = cell78) & (TLH44974 = cell88)) | ((TLH44975 = cell77) & (TLH44974 = cell87)) | ((TLH44975 = cell76) & (TLH44974 = cell86)) | ((TLH44975 = cell75) & (TLH44974 = cell85)) | ((TLH44975 = cell74) & (TLH44974 = cell84)) | ((TLH44975 = cell73) & (TLH44974 = cell83)) | ((TLH44975 = cell72) & (TLH44974 = cell82)) | ((TLH44975 = cell71) & (TLH44974 = cell81)) | ((TLH44975 = cell70) & (TLH44974 = cell80)) | ((TLH44975 = cell69) & (TLH44974 = cell79)) | ((TLH44975 = cell68) & (TLH44974 = cell78)) | ((TLH44975 = cell67) & (TLH44974 = cell77)) | ((TLH44975 = cell66) & (TLH44974 = cell76)) | ((TLH44975 = cell65) & (TLH44974 = cell75)) | ((TLH44975 = cell64) & (TLH44974 = cell74)) | ((TLH44975 = cell63) & (TLH44974 = cell73)) | ((TLH44975 = cell62) & (TLH44974 = cell72)) | ((TLH44975 = cell61) & (TLH44974 = cell71)) | ((TLH44975 = cell60) & (TLH44974 = cell70)) | ((TLH44975 = cell59) & (TLH44974 = cell69)) | ((TLH44975 = cell58) & (TLH44974 = cell68)) | ((TLH44975 = cell57) & (TLH44974 = cell67)) | ((TLH44975 = cell56) & (TLH44974 = cell66)) | ((TLH44975 = cell55) & (TLH44974 = cell65)) | ((TLH44975 = cell54) & (TLH44974 = cell64)) | ((TLH44975 = cell53) & (TLH44974 = cell63)) | ((TLH44975 = cell52) & (TLH44974 = cell62)) | ((TLH44975 = cell51) & (TLH44974 = cell61)) | ((TLH44975 = cell50) & (TLH44974 = cell60)) | ((TLH44975 = cell49) & (TLH44974 = cell59)) | ((TLH44975 = cell48) & (TLH44974 = cell58)) | ((TLH44975 = cell47) & (TLH44974 = cell57)) | ((TLH44975 = cell46) & (TLH44974 = cell56)) | ((TLH44975 = cell45) & (TLH44974 = cell55)) | ((TLH44975 = cell44) & (TLH44974 = cell54)) | ((TLH44975 = cell43) & (TLH44974 = cell53)) | ((TLH44975 = cell42) & (TLH44974 = cell52)) | ((TLH44975 = cell41) & (TLH44974 = cell51)) | ((TLH44975 = cell40) & (TLH44974 = cell50)) | ((TLH44975 = cell39) & (TLH44974 = cell49)) | ((TLH44975 = cell38) & (TLH44974 = cell48)) | ((TLH44975 = cell37) & (TLH44974 = cell47)) | ((TLH44975 = cell36) & (TLH44974 = cell46)) | ((TLH44975 = cell35) & (TLH44974 = cell45)) | ((TLH44975 = cell34) & (TLH44974 = cell44)) | ((TLH44975 = cell33) & (TLH44974 = cell43)) | ((TLH44975 = cell32) & (TLH44974 = cell42)) | ((TLH44975 = cell31) & (TLH44974 = cell41)) | ((TLH44975 = cell30) & (TLH44974 = cell40)) | ((TLH44975 = cell29) & (TLH44974 = cell39)) | ((TLH44975 = cell28) & (TLH44974 = cell38)) | ((TLH44975 = cell27) & (TLH44974 = cell37)) | ((TLH44975 = cell26) & (TLH44974 = cell36)) | ((TLH44975 = cell25) & (TLH44974 = cell35)) | ((TLH44975 = cell24) & (TLH44974 = cell34)) | ((TLH44975 = cell23) & (TLH44974 = cell33)) | ((TLH44975 = cell22) & (TLH44974 = cell32)) | ((TLH44975 = cell21) & (TLH44974 = cell31)) | ((TLH44975 = cell20) & (TLH44974 = cell30)) | ((TLH44975 = cell19) & (TLH44974 = cell29)) | ((TLH44975 = cell18) & (TLH44974 = cell28)) | ((TLH44975 = cell17) & (TLH44974 = cell27)) | ((TLH44975 = cell16) & (TLH44974 = cell26)) | ((TLH44975 = cell15) & (TLH44974 = cell25)) | ((TLH44975 = cell14) & (TLH44974 = cell24)) | ((TLH44975 = cell13) & (TLH44974 = cell23)) | ((TLH44975 = cell12) & (TLH44974 = cell22)) | ((TLH44975 = cell11) & (TLH44974 = cell21)) | ((TLH44975 = cell10) & (TLH44974 = cell20)) | ((TLH44975 = cell9) & (TLH44974 = cell19)) | ((TLH44975 = cell8) & (TLH44974 = cell18)) | ((TLH44975 = cell7) & (TLH44974 = cell17)) | ((TLH44975 = cell6) & (TLH44974 = cell16)) | ((TLH44975 = cell5) & (TLH44974 = cell15)) | ((TLH44975 = cell4) & (TLH44974 = cell14)) | ((TLH44975 = cell3) & (TLH44974 = cell13)) | ((TLH44975 = cell2) & (TLH44974 = cell12)) | ((TLH44975 = cell1) & (TLH44974 = cell11)) | ((TLH44975 = cell99) & (TLH44974 = cell100)) | ((TLH44975 = cell98) & (TLH44974 = cell99)) | ((TLH44975 = cell97) & (TLH44974 = cell98)) | ((TLH44975 = cell96) & (TLH44974 = cell97)) | ((TLH44975 = cell95) & (TLH44974 = cell96)) | ((TLH44975 = cell94) & (TLH44974 = cell95)) | ((TLH44975 = cell93) & (TLH44974 = cell94)) | ((TLH44975 = cell92) & (TLH44974 = cell93)) | ((TLH44975 = cell91) & (TLH44974 = cell92)) | ((TLH44975 = cell89) & (TLH44974 = cell90)) | ((TLH44975 = cell88) & (TLH44974 = cell89)) | ((TLH44975 = cell87) & (TLH44974 = cell88)) | ((TLH44975 = cell86) & (TLH44974 = cell87)) | ((TLH44975 = cell85) & (TLH44974 = cell86)) | ((TLH44975 = cell84) & (TLH44974 = cell85)) | ((TLH44975 = cell83) & (TLH44974 = cell84)) | ((TLH44975 = cell82) & (TLH44974 = cell83)) | ((TLH44975 = cell81) & (TLH44974 = cell82)) | ((TLH44975 = cell79) & (TLH44974 = cell80)) | ((TLH44975 = cell78) & (TLH44974 = cell79)) | ((TLH44975 = cell77) & (TLH44974 = cell78)) | ((TLH44975 = cell76) & (TLH44974 = cell77)) | ((TLH44975 = cell75) & (TLH44974 = cell76)) | ((TLH44975 = cell74) & (TLH44974 = cell75)) | ((TLH44975 = cell73) & (TLH44974 = cell74)) | ((TLH44975 = cell72) & (TLH44974 = cell73)) | ((TLH44975 = cell71) & (TLH44974 = cell72)) | ((TLH44975 = cell69) & (TLH44974 = cell70)) | ((TLH44975 = cell68) & (TLH44974 = cell69)) | ((TLH44975 = cell67) & (TLH44974 = cell68)) | ((TLH44975 = cell66) & (TLH44974 = cell67)) | ((TLH44975 = cell65) & (TLH44974 = cell66)) | ((TLH44975 = cell64) & (TLH44974 = cell65)) | ((TLH44975 = cell63) & (TLH44974 = cell64)) | ((TLH44975 = cell62) & (TLH44974 = cell63)) | ((TLH44975 = cell61) & (TLH44974 = cell62)) | ((TLH44975 = cell59) & (TLH44974 = cell60)) | ((TLH44975 = cell58) & (TLH44974 = cell59)) | ((TLH44975 = cell57) & (TLH44974 = cell58)) | ((TLH44975 = cell56) & (TLH44974 = cell57)) | ((TLH44975 = cell55) & (TLH44974 = cell56)) | ((TLH44975 = cell54) & (TLH44974 = cell55)) | ((TLH44975 = cell53) & (TLH44974 = cell54)) | ((TLH44975 = cell52) & (TLH44974 = cell53)) | ((TLH44975 = cell51) & (TLH44974 = cell52)) | ((TLH44975 = cell49) & (TLH44974 = cell50)) | ((TLH44975 = cell48) & (TLH44974 = cell49)) | ((TLH44975 = cell47) & (TLH44974 = cell48)) | ((TLH44975 = cell46) & (TLH44974 = cell47)) | ((TLH44975 = cell45) & (TLH44974 = cell46)) | ((TLH44975 = cell44) & (TLH44974 = cell45)) | ((TLH44975 = cell43) & (TLH44974 = cell44)) | ((TLH44975 = cell42) & (TLH44974 = cell43)) | ((TLH44975 = cell41) & (TLH44974 = cell42)) | ((TLH44975 = cell39) & (TLH44974 = cell40)) | ((TLH44975 = cell38) & (TLH44974 = cell39)) | ((TLH44975 = cell37) & (TLH44974 = cell38)) | ((TLH44975 = cell36) & (TLH44974 = cell37)) | ((TLH44975 = cell35) & (TLH44974 = cell36)) | ((TLH44975 = cell34) & (TLH44974 = cell35)) | ((TLH44975 = cell33) & (TLH44974 = cell34)) | ((TLH44975 = cell32) & (TLH44974 = cell33)) | ((TLH44975 = cell31) & (TLH44974 = cell32)) | ((TLH44975 = cell29) & (TLH44974 = cell30)) | ((TLH44975 = cell28) & (TLH44974 = cell29)) | ((TLH44975 = cell27) & (TLH44974 = cell28)) | ((TLH44975 = cell26) & (TLH44974 = cell27)) | ((TLH44975 = cell25) & (TLH44974 = cell26)) | ((TLH44975 = cell24) & (TLH44974 = cell25)) | ((TLH44975 = cell23) & (TLH44974 = cell24)) | ((TLH44975 = cell22) & (TLH44974 = cell23)) | ((TLH44975 = cell21) & (TLH44974 = cell22)) | ((TLH44975 = cell19) & (TLH44974 = cell20)) | ((TLH44975 = cell18) & (TLH44974 = cell19)) | ((TLH44975 = cell17) & (TLH44974 = cell18)) | ((TLH44975 = cell16) & (TLH44974 = cell17)) | ((TLH44975 = cell15) & (TLH44974 = cell16)) | ((TLH44975 = cell14) & (TLH44974 = cell15)) | ((TLH44975 = cell13) & (TLH44974 = cell14)) | ((TLH44975 = cell12) & (TLH44974 = cell13)) | ((TLH44975 = cell11) & (TLH44974 = cell12)) | ((TLH44975 = cell9) & (TLH44974 = cell10)) | ((TLH44975 = cell8) & (TLH44974 = cell9)) | ((TLH44975 = cell7) & (TLH44974 = cell8)) | ((TLH44975 = cell6) & (TLH44974 = cell7)) | ((TLH44975 = cell5) & (TLH44974 = cell6)) | ((TLH44975 = cell4) & (TLH44974 = cell5)) | ((TLH44975 = cell3) & (TLH44974 = cell4)) | ((TLH44975 = cell2) & (TLH44974 = cell3)) | ((TLH44975 = cell1) & (TLH44974 = cell2))))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[2096, 2095])).
% 0.67/0.84 tff(2098,plain,
% 0.67/0.84 (![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> (((TLH44975 = cell90) & (TLH44974 = cell100)) | ((TLH44975 = cell89) & (TLH44974 = cell99)) | ((TLH44975 = cell88) & (TLH44974 = cell98)) | ((TLH44975 = cell87) & (TLH44974 = cell97)) | ((TLH44975 = cell86) & (TLH44974 = cell96)) | ((TLH44975 = cell85) & (TLH44974 = cell95)) | ((TLH44975 = cell84) & (TLH44974 = cell94)) | ((TLH44975 = cell83) & (TLH44974 = cell93)) | ((TLH44975 = cell82) & (TLH44974 = cell92)) | ((TLH44975 = cell81) & (TLH44974 = cell91)) | ((TLH44975 = cell80) & (TLH44974 = cell90)) | ((TLH44975 = cell79) & (TLH44974 = cell89)) | ((TLH44975 = cell78) & (TLH44974 = cell88)) | ((TLH44975 = cell77) & (TLH44974 = cell87)) | ((TLH44975 = cell76) & (TLH44974 = cell86)) | ((TLH44975 = cell75) & (TLH44974 = cell85)) | ((TLH44975 = cell74) & (TLH44974 = cell84)) | ((TLH44975 = cell73) & (TLH44974 = cell83)) | ((TLH44975 = cell72) & (TLH44974 = cell82)) | ((TLH44975 = cell71) & (TLH44974 = cell81)) | ((TLH44975 = cell70) & (TLH44974 = cell80)) | ((TLH44975 = cell69) & (TLH44974 = cell79)) | ((TLH44975 = cell68) & (TLH44974 = cell78)) | ((TLH44975 = cell67) & (TLH44974 = cell77)) | ((TLH44975 = cell66) & (TLH44974 = cell76)) | ((TLH44975 = cell65) & (TLH44974 = cell75)) | ((TLH44975 = cell64) & (TLH44974 = cell74)) | ((TLH44975 = cell63) & (TLH44974 = cell73)) | ((TLH44975 = cell62) & (TLH44974 = cell72)) | ((TLH44975 = cell61) & (TLH44974 = cell71)) | ((TLH44975 = cell60) & (TLH44974 = cell70)) | ((TLH44975 = cell59) & (TLH44974 = cell69)) | ((TLH44975 = cell58) & (TLH44974 = cell68)) | ((TLH44975 = cell57) & (TLH44974 = cell67)) | ((TLH44975 = cell56) & (TLH44974 = cell66)) | ((TLH44975 = cell55) & (TLH44974 = cell65)) | ((TLH44975 = cell54) & (TLH44974 = cell64)) | ((TLH44975 = cell53) & (TLH44974 = cell63)) | ((TLH44975 = cell52) & (TLH44974 = cell62)) | ((TLH44975 = cell51) & (TLH44974 = cell61)) | ((TLH44975 = cell50) & (TLH44974 = cell60)) | ((TLH44975 = cell49) & (TLH44974 = cell59)) | ((TLH44975 = cell48) & (TLH44974 = cell58)) | ((TLH44975 = cell47) & (TLH44974 = cell57)) | ((TLH44975 = cell46) & (TLH44974 = cell56)) | ((TLH44975 = cell45) & (TLH44974 = cell55)) | ((TLH44975 = cell44) & (TLH44974 = cell54)) | ((TLH44975 = cell43) & (TLH44974 = cell53)) | ((TLH44975 = cell42) & (TLH44974 = cell52)) | ((TLH44975 = cell41) & (TLH44974 = cell51)) | ((TLH44975 = cell40) & (TLH44974 = cell50)) | ((TLH44975 = cell39) & (TLH44974 = cell49)) | ((TLH44975 = cell38) & (TLH44974 = cell48)) | ((TLH44975 = cell37) & (TLH44974 = cell47)) | ((TLH44975 = cell36) & (TLH44974 = cell46)) | ((TLH44975 = cell35) & (TLH44974 = cell45)) | ((TLH44975 = cell34) & (TLH44974 = cell44)) | ((TLH44975 = cell33) & (TLH44974 = cell43)) | ((TLH44975 = cell32) & (TLH44974 = cell42)) | ((TLH44975 = cell31) & (TLH44974 = cell41)) | ((TLH44975 = cell30) & (TLH44974 = cell40)) | ((TLH44975 = cell29) & (TLH44974 = cell39)) | ((TLH44975 = cell28) & (TLH44974 = cell38)) | ((TLH44975 = cell27) & (TLH44974 = cell37)) | ((TLH44975 = cell26) & (TLH44974 = cell36)) | ((TLH44975 = cell25) & (TLH44974 = cell35)) | ((TLH44975 = cell24) & (TLH44974 = cell34)) | ((TLH44975 = cell23) & (TLH44974 = cell33)) | ((TLH44975 = cell22) & (TLH44974 = cell32)) | ((TLH44975 = cell21) & (TLH44974 = cell31)) | ((TLH44975 = cell20) & (TLH44974 = cell30)) | ((TLH44975 = cell19) & (TLH44974 = cell29)) | ((TLH44975 = cell18) & (TLH44974 = cell28)) | ((TLH44975 = cell17) & (TLH44974 = cell27)) | ((TLH44975 = cell16) & (TLH44974 = cell26)) | ((TLH44975 = cell15) & (TLH44974 = cell25)) | ((TLH44975 = cell14) & (TLH44974 = cell24)) | ((TLH44975 = cell13) & (TLH44974 = cell23)) | ((TLH44975 = cell12) & (TLH44974 = cell22)) | ((TLH44975 = cell11) & (TLH44974 = cell21)) | ((TLH44975 = cell10) & (TLH44974 = cell20)) | ((TLH44975 = cell9) & (TLH44974 = cell19)) | ((TLH44975 = cell8) & (TLH44974 = cell18)) | ((TLH44975 = cell7) & (TLH44974 = cell17)) | ((TLH44975 = cell6) & (TLH44974 = cell16)) | ((TLH44975 = cell5) & (TLH44974 = cell15)) | ((TLH44975 = cell4) & (TLH44974 = cell14)) | ((TLH44975 = cell3) & (TLH44974 = cell13)) | ((TLH44975 = cell2) & (TLH44974 = cell12)) | ((TLH44975 = cell1) & (TLH44974 = cell11)) | ((TLH44975 = cell99) & (TLH44974 = cell100)) | ((TLH44975 = cell98) & (TLH44974 = cell99)) | ((TLH44975 = cell97) & (TLH44974 = cell98)) | ((TLH44975 = cell96) & (TLH44974 = cell97)) | ((TLH44975 = cell95) & (TLH44974 = cell96)) | ((TLH44975 = cell94) & (TLH44974 = cell95)) | ((TLH44975 = cell93) & (TLH44974 = cell94)) | ((TLH44975 = cell92) & (TLH44974 = cell93)) | ((TLH44975 = cell91) & (TLH44974 = cell92)) | ((TLH44975 = cell89) & (TLH44974 = cell90)) | ((TLH44975 = cell88) & (TLH44974 = cell89)) | ((TLH44975 = cell87) & (TLH44974 = cell88)) | ((TLH44975 = cell86) & (TLH44974 = cell87)) | ((TLH44975 = cell85) & (TLH44974 = cell86)) | ((TLH44975 = cell84) & (TLH44974 = cell85)) | ((TLH44975 = cell83) & (TLH44974 = cell84)) | ((TLH44975 = cell82) & (TLH44974 = cell83)) | ((TLH44975 = cell81) & (TLH44974 = cell82)) | ((TLH44975 = cell79) & (TLH44974 = cell80)) | ((TLH44975 = cell78) & (TLH44974 = cell79)) | ((TLH44975 = cell77) & (TLH44974 = cell78)) | ((TLH44975 = cell76) & (TLH44974 = cell77)) | ((TLH44975 = cell75) & (TLH44974 = cell76)) | ((TLH44975 = cell74) & (TLH44974 = cell75)) | ((TLH44975 = cell73) & (TLH44974 = cell74)) | ((TLH44975 = cell72) & (TLH44974 = cell73)) | ((TLH44975 = cell71) & (TLH44974 = cell72)) | ((TLH44975 = cell69) & (TLH44974 = cell70)) | ((TLH44975 = cell68) & (TLH44974 = cell69)) | ((TLH44975 = cell67) & (TLH44974 = cell68)) | ((TLH44975 = cell66) & (TLH44974 = cell67)) | ((TLH44975 = cell65) & (TLH44974 = cell66)) | ((TLH44975 = cell64) & (TLH44974 = cell65)) | ((TLH44975 = cell63) & (TLH44974 = cell64)) | ((TLH44975 = cell62) & (TLH44974 = cell63)) | ((TLH44975 = cell61) & (TLH44974 = cell62)) | ((TLH44975 = cell59) & (TLH44974 = cell60)) | ((TLH44975 = cell58) & (TLH44974 = cell59)) | ((TLH44975 = cell57) & (TLH44974 = cell58)) | ((TLH44975 = cell56) & (TLH44974 = cell57)) | ((TLH44975 = cell55) & (TLH44974 = cell56)) | ((TLH44975 = cell54) & (TLH44974 = cell55)) | ((TLH44975 = cell53) & (TLH44974 = cell54)) | ((TLH44975 = cell52) & (TLH44974 = cell53)) | ((TLH44975 = cell51) & (TLH44974 = cell52)) | ((TLH44975 = cell49) & (TLH44974 = cell50)) | ((TLH44975 = cell48) & (TLH44974 = cell49)) | ((TLH44975 = cell47) & (TLH44974 = cell48)) | ((TLH44975 = cell46) & (TLH44974 = cell47)) | ((TLH44975 = cell45) & (TLH44974 = cell46)) | ((TLH44975 = cell44) & (TLH44974 = cell45)) | ((TLH44975 = cell43) & (TLH44974 = cell44)) | ((TLH44975 = cell42) & (TLH44974 = cell43)) | ((TLH44975 = cell41) & (TLH44974 = cell42)) | ((TLH44975 = cell39) & (TLH44974 = cell40)) | ((TLH44975 = cell38) & (TLH44974 = cell39)) | ((TLH44975 = cell37) & (TLH44974 = cell38)) | ((TLH44975 = cell36) & (TLH44974 = cell37)) | ((TLH44975 = cell35) & (TLH44974 = cell36)) | ((TLH44975 = cell34) & (TLH44974 = cell35)) | ((TLH44975 = cell33) & (TLH44974 = cell34)) | ((TLH44975 = cell32) & (TLH44974 = cell33)) | ((TLH44975 = cell31) & (TLH44974 = cell32)) | ((TLH44975 = cell29) & (TLH44974 = cell30)) | ((TLH44975 = cell28) & (TLH44974 = cell29)) | ((TLH44975 = cell27) & (TLH44974 = cell28)) | ((TLH44975 = cell26) & (TLH44974 = cell27)) | ((TLH44975 = cell25) & (TLH44974 = cell26)) | ((TLH44975 = cell24) & (TLH44974 = cell25)) | ((TLH44975 = cell23) & (TLH44974 = cell24)) | ((TLH44975 = cell22) & (TLH44974 = cell23)) | ((TLH44975 = cell21) & (TLH44974 = cell22)) | ((TLH44975 = cell19) & (TLH44974 = cell20)) | ((TLH44975 = cell18) & (TLH44974 = cell19)) | ((TLH44975 = cell17) & (TLH44974 = cell18)) | ((TLH44975 = cell16) & (TLH44974 = cell17)) | ((TLH44975 = cell15) & (TLH44974 = cell16)) | ((TLH44975 = cell14) & (TLH44974 = cell15)) | ((TLH44975 = cell13) & (TLH44974 = cell14)) | ((TLH44975 = cell12) & (TLH44974 = cell13)) | ((TLH44975 = cell11) & (TLH44974 = cell12)) | ((TLH44975 = cell9) & (TLH44974 = cell10)) | ((TLH44975 = cell8) & (TLH44974 = cell9)) | ((TLH44975 = cell7) & (TLH44974 = cell8)) | ((TLH44975 = cell6) & (TLH44974 = cell7)) | ((TLH44975 = cell5) & (TLH44974 = cell6)) | ((TLH44975 = cell4) & (TLH44974 = cell5)) | ((TLH44975 = cell3) & (TLH44974 = cell4)) | ((TLH44975 = cell2) & (TLH44974 = cell3)) | ((TLH44975 = cell1) & (TLH44974 = cell2))))),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[2097, 2093])).
% 0.67/0.84 tff(2099,plain,(
% 0.67/0.84 ![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> (((TLH44975 = cell90) & (TLH44974 = cell100)) | ((TLH44975 = cell89) & (TLH44974 = cell99)) | ((TLH44975 = cell88) & (TLH44974 = cell98)) | ((TLH44975 = cell87) & (TLH44974 = cell97)) | ((TLH44975 = cell86) & (TLH44974 = cell96)) | ((TLH44975 = cell85) & (TLH44974 = cell95)) | ((TLH44975 = cell84) & (TLH44974 = cell94)) | ((TLH44975 = cell83) & (TLH44974 = cell93)) | ((TLH44975 = cell82) & (TLH44974 = cell92)) | ((TLH44975 = cell81) & (TLH44974 = cell91)) | ((TLH44975 = cell80) & (TLH44974 = cell90)) | ((TLH44975 = cell79) & (TLH44974 = cell89)) | ((TLH44975 = cell78) & (TLH44974 = cell88)) | ((TLH44975 = cell77) & (TLH44974 = cell87)) | ((TLH44975 = cell76) & (TLH44974 = cell86)) | ((TLH44975 = cell75) & (TLH44974 = cell85)) | ((TLH44975 = cell74) & (TLH44974 = cell84)) | ((TLH44975 = cell73) & (TLH44974 = cell83)) | ((TLH44975 = cell72) & (TLH44974 = cell82)) | ((TLH44975 = cell71) & (TLH44974 = cell81)) | ((TLH44975 = cell70) & (TLH44974 = cell80)) | ((TLH44975 = cell69) & (TLH44974 = cell79)) | ((TLH44975 = cell68) & (TLH44974 = cell78)) | ((TLH44975 = cell67) & (TLH44974 = cell77)) | ((TLH44975 = cell66) & (TLH44974 = cell76)) | ((TLH44975 = cell65) & (TLH44974 = cell75)) | ((TLH44975 = cell64) & (TLH44974 = cell74)) | ((TLH44975 = cell63) & (TLH44974 = cell73)) | ((TLH44975 = cell62) & (TLH44974 = cell72)) | ((TLH44975 = cell61) & (TLH44974 = cell71)) | ((TLH44975 = cell60) & (TLH44974 = cell70)) | ((TLH44975 = cell59) & (TLH44974 = cell69)) | ((TLH44975 = cell58) & (TLH44974 = cell68)) | ((TLH44975 = cell57) & (TLH44974 = cell67)) | ((TLH44975 = cell56) & (TLH44974 = cell66)) | ((TLH44975 = cell55) & (TLH44974 = cell65)) | ((TLH44975 = cell54) & (TLH44974 = cell64)) | ((TLH44975 = cell53) & (TLH44974 = cell63)) | ((TLH44975 = cell52) & (TLH44974 = cell62)) | ((TLH44975 = cell51) & (TLH44974 = cell61)) | ((TLH44975 = cell50) & (TLH44974 = cell60)) | ((TLH44975 = cell49) & (TLH44974 = cell59)) | ((TLH44975 = cell48) & (TLH44974 = cell58)) | ((TLH44975 = cell47) & (TLH44974 = cell57)) | ((TLH44975 = cell46) & (TLH44974 = cell56)) | ((TLH44975 = cell45) & (TLH44974 = cell55)) | ((TLH44975 = cell44) & (TLH44974 = cell54)) | ((TLH44975 = cell43) & (TLH44974 = cell53)) | ((TLH44975 = cell42) & (TLH44974 = cell52)) | ((TLH44975 = cell41) & (TLH44974 = cell51)) | ((TLH44975 = cell40) & (TLH44974 = cell50)) | ((TLH44975 = cell39) & (TLH44974 = cell49)) | ((TLH44975 = cell38) & (TLH44974 = cell48)) | ((TLH44975 = cell37) & (TLH44974 = cell47)) | ((TLH44975 = cell36) & (TLH44974 = cell46)) | ((TLH44975 = cell35) & (TLH44974 = cell45)) | ((TLH44975 = cell34) & (TLH44974 = cell44)) | ((TLH44975 = cell33) & (TLH44974 = cell43)) | ((TLH44975 = cell32) & (TLH44974 = cell42)) | ((TLH44975 = cell31) & (TLH44974 = cell41)) | ((TLH44975 = cell30) & (TLH44974 = cell40)) | ((TLH44975 = cell29) & (TLH44974 = cell39)) | ((TLH44975 = cell28) & (TLH44974 = cell38)) | ((TLH44975 = cell27) & (TLH44974 = cell37)) | ((TLH44975 = cell26) & (TLH44974 = cell36)) | ((TLH44975 = cell25) & (TLH44974 = cell35)) | ((TLH44975 = cell24) & (TLH44974 = cell34)) | ((TLH44975 = cell23) & (TLH44974 = cell33)) | ((TLH44975 = cell22) & (TLH44974 = cell32)) | ((TLH44975 = cell21) & (TLH44974 = cell31)) | ((TLH44975 = cell20) & (TLH44974 = cell30)) | ((TLH44975 = cell19) & (TLH44974 = cell29)) | ((TLH44975 = cell18) & (TLH44974 = cell28)) | ((TLH44975 = cell17) & (TLH44974 = cell27)) | ((TLH44975 = cell16) & (TLH44974 = cell26)) | ((TLH44975 = cell15) & (TLH44974 = cell25)) | ((TLH44975 = cell14) & (TLH44974 = cell24)) | ((TLH44975 = cell13) & (TLH44974 = cell23)) | ((TLH44975 = cell12) & (TLH44974 = cell22)) | ((TLH44975 = cell11) & (TLH44974 = cell21)) | ((TLH44975 = cell10) & (TLH44974 = cell20)) | ((TLH44975 = cell9) & (TLH44974 = cell19)) | ((TLH44975 = cell8) & (TLH44974 = cell18)) | ((TLH44975 = cell7) & (TLH44974 = cell17)) | ((TLH44975 = cell6) & (TLH44974 = cell16)) | ((TLH44975 = cell5) & (TLH44974 = cell15)) | ((TLH44975 = cell4) & (TLH44974 = cell14)) | ((TLH44975 = cell3) & (TLH44974 = cell13)) | ((TLH44975 = cell2) & (TLH44974 = cell12)) | ((TLH44975 = cell1) & (TLH44974 = cell11)) | ((TLH44975 = cell99) & (TLH44974 = cell100)) | ((TLH44975 = cell98) & (TLH44974 = cell99)) | ((TLH44975 = cell97) & (TLH44974 = cell98)) | ((TLH44975 = cell96) & (TLH44974 = cell97)) | ((TLH44975 = cell95) & (TLH44974 = cell96)) | ((TLH44975 = cell94) & (TLH44974 = cell95)) | ((TLH44975 = cell93) & (TLH44974 = cell94)) | ((TLH44975 = cell92) & (TLH44974 = cell93)) | ((TLH44975 = cell91) & (TLH44974 = cell92)) | ((TLH44975 = cell89) & (TLH44974 = cell90)) | ((TLH44975 = cell88) & (TLH44974 = cell89)) | ((TLH44975 = cell87) & (TLH44974 = cell88)) | ((TLH44975 = cell86) & (TLH44974 = cell87)) | ((TLH44975 = cell85) & (TLH44974 = cell86)) | ((TLH44975 = cell84) & (TLH44974 = cell85)) | ((TLH44975 = cell83) & (TLH44974 = cell84)) | ((TLH44975 = cell82) & (TLH44974 = cell83)) | ((TLH44975 = cell81) & (TLH44974 = cell82)) | ((TLH44975 = cell79) & (TLH44974 = cell80)) | ((TLH44975 = cell78) & (TLH44974 = cell79)) | ((TLH44975 = cell77) & (TLH44974 = cell78)) | ((TLH44975 = cell76) & (TLH44974 = cell77)) | ((TLH44975 = cell75) & (TLH44974 = cell76)) | ((TLH44975 = cell74) & (TLH44974 = cell75)) | ((TLH44975 = cell73) & (TLH44974 = cell74)) | ((TLH44975 = cell72) & (TLH44974 = cell73)) | ((TLH44975 = cell71) & (TLH44974 = cell72)) | ((TLH44975 = cell69) & (TLH44974 = cell70)) | ((TLH44975 = cell68) & (TLH44974 = cell69)) | ((TLH44975 = cell67) & (TLH44974 = cell68)) | ((TLH44975 = cell66) & (TLH44974 = cell67)) | ((TLH44975 = cell65) & (TLH44974 = cell66)) | ((TLH44975 = cell64) & (TLH44974 = cell65)) | ((TLH44975 = cell63) & (TLH44974 = cell64)) | ((TLH44975 = cell62) & (TLH44974 = cell63)) | ((TLH44975 = cell61) & (TLH44974 = cell62)) | ((TLH44975 = cell59) & (TLH44974 = cell60)) | ((TLH44975 = cell58) & (TLH44974 = cell59)) | ((TLH44975 = cell57) & (TLH44974 = cell58)) | ((TLH44975 = cell56) & (TLH44974 = cell57)) | ((TLH44975 = cell55) & (TLH44974 = cell56)) | ((TLH44975 = cell54) & (TLH44974 = cell55)) | ((TLH44975 = cell53) & (TLH44974 = cell54)) | ((TLH44975 = cell52) & (TLH44974 = cell53)) | ((TLH44975 = cell51) & (TLH44974 = cell52)) | ((TLH44975 = cell49) & (TLH44974 = cell50)) | ((TLH44975 = cell48) & (TLH44974 = cell49)) | ((TLH44975 = cell47) & (TLH44974 = cell48)) | ((TLH44975 = cell46) & (TLH44974 = cell47)) | ((TLH44975 = cell45) & (TLH44974 = cell46)) | ((TLH44975 = cell44) & (TLH44974 = cell45)) | ((TLH44975 = cell43) & (TLH44974 = cell44)) | ((TLH44975 = cell42) & (TLH44974 = cell43)) | ((TLH44975 = cell41) & (TLH44974 = cell42)) | ((TLH44975 = cell39) & (TLH44974 = cell40)) | ((TLH44975 = cell38) & (TLH44974 = cell39)) | ((TLH44975 = cell37) & (TLH44974 = cell38)) | ((TLH44975 = cell36) & (TLH44974 = cell37)) | ((TLH44975 = cell35) & (TLH44974 = cell36)) | ((TLH44975 = cell34) & (TLH44974 = cell35)) | ((TLH44975 = cell33) & (TLH44974 = cell34)) | ((TLH44975 = cell32) & (TLH44974 = cell33)) | ((TLH44975 = cell31) & (TLH44974 = cell32)) | ((TLH44975 = cell29) & (TLH44974 = cell30)) | ((TLH44975 = cell28) & (TLH44974 = cell29)) | ((TLH44975 = cell27) & (TLH44974 = cell28)) | ((TLH44975 = cell26) & (TLH44974 = cell27)) | ((TLH44975 = cell25) & (TLH44974 = cell26)) | ((TLH44975 = cell24) & (TLH44974 = cell25)) | ((TLH44975 = cell23) & (TLH44974 = cell24)) | ((TLH44975 = cell22) & (TLH44974 = cell23)) | ((TLH44975 = cell21) & (TLH44974 = cell22)) | ((TLH44975 = cell19) & (TLH44974 = cell20)) | ((TLH44975 = cell18) & (TLH44974 = cell19)) | ((TLH44975 = cell17) & (TLH44974 = cell18)) | ((TLH44975 = cell16) & (TLH44974 = cell17)) | ((TLH44975 = cell15) & (TLH44974 = cell16)) | ((TLH44975 = cell14) & (TLH44974 = cell15)) | ((TLH44975 = cell13) & (TLH44974 = cell14)) | ((TLH44975 = cell12) & (TLH44974 = cell13)) | ((TLH44975 = cell11) & (TLH44974 = cell12)) | ((TLH44975 = cell9) & (TLH44974 = cell10)) | ((TLH44975 = cell8) & (TLH44974 = cell9)) | ((TLH44975 = cell7) & (TLH44974 = cell8)) | ((TLH44975 = cell6) & (TLH44974 = cell7)) | ((TLH44975 = cell5) & (TLH44974 = cell6)) | ((TLH44975 = cell4) & (TLH44974 = cell5)) | ((TLH44975 = cell3) & (TLH44974 = cell4)) | ((TLH44975 = cell2) & (TLH44974 = cell3)) | ((TLH44975 = cell1) & (TLH44974 = cell2))))),
% 0.67/0.85 inference(skolemize,[status(sab)],[2098])).
% 0.67/0.85 tff(2100,plain,
% 0.67/0.85 (![TLH44974: $i, TLH44975: $i] : (edge(TLH44975, TLH44974) <=> ((~((~(TLH44975 = cell90)) | (~(TLH44974 = cell100)))) | (~((~(TLH44975 = cell89)) | (~(TLH44974 = cell99)))) | (~((~(TLH44975 = cell88)) | (~(TLH44974 = cell98)))) | (~((~(TLH44975 = cell87)) | (~(TLH44974 = cell97)))) | (~((~(TLH44975 = cell86)) | (~(TLH44974 = cell96)))) | (~((~(TLH44975 = cell85)) | (~(TLH44974 = cell95)))) | (~((~(TLH44975 = cell84)) | (~(TLH44974 = cell94)))) | (~((~(TLH44975 = cell83)) | (~(TLH44974 = cell93)))) | (~((~(TLH44975 = cell82)) | (~(TLH44974 = cell92)))) | (~((~(TLH44975 = cell81)) | (~(TLH44974 = cell91)))) | (~((~(TLH44975 = cell80)) | (~(TLH44974 = cell90)))) | (~((~(TLH44975 = cell79)) | (~(TLH44974 = cell89)))) | (~((~(TLH44975 = cell78)) | (~(TLH44974 = cell88)))) | (~((~(TLH44975 = cell77)) | (~(TLH44974 = cell87)))) | (~((~(TLH44975 = cell76)) | (~(TLH44974 = cell86)))) | (~((~(TLH44975 = cell75)) | (~(TLH44974 = cell85)))) | (~((~(TLH44975 = cell74)) | (~(TLH44974 = 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% 0.67/0.85 inference(modus_ponens,[status(thm)],[2099, 2092])).
% 0.67/0.85 tff(2101,plain,
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% 0.67/0.85 inference(modus_ponens,[status(thm)],[2100, 2090])).
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% 0.67/0.87 tff(2110,plain,
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% 0.67/0.87 tff(2111,plain,
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% 0.67/0.87 tff(2113,plain,
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% 0.67/0.87 tff(2114,axiom,(~(cell21 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49599')).
% 0.67/0.87 tff(2115,plain,
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% 0.67/0.87 inference(modus_ponens,[status(thm)],[2114, 2113])).
% 0.67/0.87 tff(2116,plain,
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% 0.81/1.05 tff(2168,plain,
% 0.81/1.05 (~(cell90 = Y!0)),
% 0.81/1.05 inference(unit_resolution,[status(thm)],[2167, 1633, 1972, 1971, 1970, 1969, 1968, 1967, 1966, 1889, 1964, 1963, 1962, 1961, 1960, 1959, 1958, 1957, 1956, 1955, 1954, 1953, 1952, 1951, 1950, 1949, 1948, 1947, 1946, 1945, 1944, 1943, 1942, 1941, 1940, 1939, 1938, 1937, 1936, 1935, 1934, 1933, 1932, 1931, 1930, 1929, 1928, 1927, 1926, 1925, 1924, 1923, 1922, 1921, 1920, 1919, 1918, 1917, 1916, 1915, 1914, 1913, 1912, 1911, 1910, 1909, 1908, 1907, 1906, 1905, 1904, 1903, 1902, 1901, 1900, 1899, 1898, 1897, 1896, 1895, 1894, 1893, 1892, 1891, 1721, 1890, 1888, 1887, 1886, 1885, 1884, 1883, 1882, 1881, 1880, 1879, 1808, 1877, 1876, 1875, 1874, 1873, 1872, 1871, 1870, 1869, 1868, 1867, 1866, 1865, 1864, 1863, 1862, 1861, 1860, 1859, 1858, 1857, 1856, 1855, 1854, 1853, 1852, 1851, 1850, 1849, 1848, 1847, 1846, 1845, 1844, 1843, 1842, 1841, 1840, 1839, 1838, 1837, 1836, 1835, 1834, 1833, 1832, 1831, 1830, 1829, 1828, 1827, 1826, 1825, 1824, 1823, 1822, 1821, 1820, 1819, 1818, 1817, 1816, 1815, 1814, 1813, 1812, 1811, 1810, 1973, 1965, 1807, 1806, 1805, 1804, 1803, 1802, 1801, 1800, 1974, 1709, 1519, 1788, 1794, 1793, 1792, 1791, 1521, 1722, 1699, 1787, 1786, 1785, 1784, 1783, 1782, 1781, 1780, 1797, 1778, 1777, 1776, 1775, 1774, 1773, 1772, 1771, 1770, 1769, 1768, 1767, 1766, 1765, 1764, 1763, 1762, 1761, 1760, 1759, 1758, 1757, 1756, 1755, 1754, 1753, 1752, 1751, 1750, 1749, 1748, 1747, 1746, 1745, 1744, 1743, 1742, 1741, 1740, 1739, 1738, 1737, 1736, 1735, 1734, 1733, 1732, 1731, 1730, 1729, 1728, 1727, 1726, 1725, 1724, 1809, 1723, 1720, 1719, 1718, 1717, 1716, 1715, 1714, 1713, 1795, 1711, 1710, 1790, 1708, 1707, 1706, 1705, 1704, 1703, 1702, 1701, 1700, 1789, 1698, 1697, 1696, 1695, 1694, 1693, 1692, 1691, 1690, 1689, 1688, 1687, 1686, 1685, 1684, 1683, 1682, 1681, 1680, 1679, 1678, 1677, 1676, 1675, 1674, 1673, 1672, 1671, 1670, 1669, 1668, 1667, 1666, 1665, 1664, 1663, 1662, 1661, 1660, 1659, 1658, 1657, 1656, 1655, 1654, 1653, 1652, 1651, 1650, 1649, 1648, 1647, 1646, 1645, 1644, 1643, 1642, 1641, 1640, 1639, 1638, 1637, 1636, 1635, 1634, 1530, 1529, 1528, 1527, 1526, 1525, 1524, 1523, 1522, 1796, 1520, 1878])).
% 0.81/1.05 tff(2169,plain,
% 0.81/1.05 (~oxygen(cell90)),
% 0.81/1.05 inference(unit_resolution,[status(thm)],[1590, 2168])).
% 0.81/1.05 tff(2170,assumption,(oxygen(cell12)), introduced(assumption)).
% 0.81/1.05 tff(2171,plain,
% 0.81/1.05 ((~(cell89 = cell12)) <=> (~(cell89 = cell12))),
% 0.81/1.05 inference(rewrite,[status(thm)],[])).
% 0.81/1.05 tff(2172,axiom,(~(cell89 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49890')).
% 0.81/1.05 tff(2173,plain,
% 0.81/1.05 (~(cell89 = cell12)),
% 0.81/1.05 inference(modus_ponens,[status(thm)],[2172, 2171])).
% 0.81/1.05 tff(2174,assumption,(~oxygen(cell90)), introduced(assumption)).
% 0.81/1.05 tff(2175,plain,
% 0.81/1.05 ((~(cell79 = cell12)) <=> (~(cell79 = cell12))),
% 0.81/1.05 inference(rewrite,[status(thm)],[])).
% 0.81/1.05 tff(2176,axiom,(~(cell79 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49905')).
% 0.81/1.05 tff(2177,plain,
% 0.81/1.05 (~(cell79 = cell12)),
% 0.81/1.05 inference(modus_ponens,[status(thm)],[2176, 2175])).
% 0.81/1.05 tff(2178,plain,
% 0.81/1.05 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell79 = cell12) | (~oxygen(cell79)) | (~oxygen(cell12)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell79 = cell12) | (~oxygen(cell79)) | (~oxygen(cell12)))),
% 0.81/1.05 inference(rewrite,[status(thm)],[])).
% 0.81/1.05 tff(2179,plain,
% 0.81/1.05 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell79 = cell12) | (~oxygen(cell79)) | (~oxygen(cell12)))),
% 0.81/1.05 inference(quant_inst,[status(thm)],[])).
% 0.81/1.05 tff(2180,plain,
% 0.81/1.05 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell79 = cell12) | (~oxygen(cell79)) | (~oxygen(cell12))),
% 0.81/1.05 inference(modus_ponens,[status(thm)],[2179, 2178])).
% 0.81/1.05 tff(2181,plain,
% 0.81/1.05 ($false),
% 0.81/1.05 inference(unit_resolution,[status(thm)],[2180, 2047, 1557, 2177, 2170])).
% 0.81/1.05 tff(2182,plain,((~oxygen(cell79)) | (~oxygen(cell12))), inference(lemma,lemma(discharge,[]))).
% 0.81/1.05 tff(2183,plain,
% 0.81/1.05 (~oxygen(cell79)),
% 0.81/1.05 inference(unit_resolution,[status(thm)],[2182, 2170])).
% 0.81/1.05 tff(2184,plain,
% 0.81/1.05 ((~(cell99 = cell12)) <=> (~(cell99 = cell12))),
% 0.81/1.05 inference(rewrite,[status(thm)],[])).
% 0.81/1.05 tff(2185,axiom,(~(cell99 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49916')).
% 0.81/1.05 tff(2186,plain,
% 0.81/1.05 (~(cell99 = cell12)),
% 0.81/1.05 inference(modus_ponens,[status(thm)],[2185, 2184])).
% 0.81/1.05 tff(2187,assumption,(~oxygen(cell89)), introduced(assumption)).
% 0.81/1.05 tff(2188,plain,
% 0.81/1.05 ((~(cell88 = cell12)) <=> (~(cell88 = cell12))),
% 0.81/1.05 inference(rewrite,[status(thm)],[])).
% 0.81/1.05 tff(2189,axiom,(~(cell88 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49898')).
% 0.81/1.05 tff(2190,plain,
% 0.81/1.05 (~(cell88 = cell12)),
% 0.81/1.05 inference(modus_ponens,[status(thm)],[2189, 2188])).
% 0.81/1.05 tff(2191,plain,
% 0.81/1.05 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell88 = cell12) | (~oxygen(cell88)) | (~oxygen(cell12)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell88 = cell12) | (~oxygen(cell88)) | (~oxygen(cell12)))),
% 0.81/1.05 inference(rewrite,[status(thm)],[])).
% 0.81/1.05 tff(2192,plain,
% 0.81/1.05 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell88 = cell12) | (~oxygen(cell88)) | (~oxygen(cell12)))),
% 0.81/1.05 inference(quant_inst,[status(thm)],[])).
% 0.81/1.05 tff(2193,plain,
% 0.81/1.05 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell88 = cell12) | (~oxygen(cell88)) | (~oxygen(cell12))),
% 0.81/1.05 inference(modus_ponens,[status(thm)],[2192, 2191])).
% 0.81/1.05 tff(2194,plain,
% 0.81/1.05 ($false),
% 0.81/1.05 inference(unit_resolution,[status(thm)],[2193, 1595, 1557, 2190, 2170])).
% 0.81/1.05 tff(2195,plain,((~oxygen(cell88)) | (~oxygen(cell12))), inference(lemma,lemma(discharge,[]))).
% 0.81/1.05 tff(2196,plain,
% 0.81/1.05 (~oxygen(cell88)),
% 0.81/1.05 inference(unit_resolution,[status(thm)],[2195, 2170])).
% 0.81/1.05 tff(2197,plain,
% 0.81/1.05 (oxygen(cell99)),
% 0.81/1.05 inference(unit_resolution,[status(thm)],[1621, 2196, 1531, 2187, 2174])).
% 0.81/1.05 tff(2198,plain,
% 0.81/1.05 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell99 = cell12) | (~oxygen(cell99)) | (~oxygen(cell12)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell99 = cell12) | (~oxygen(cell99)) | (~oxygen(cell12)))),
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% 0.91/1.09 tff(2265,assumption,(Y!0 = cell3), introduced(assumption)).
% 0.91/1.09 tff(2266,plain,
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% 0.91/1.09 tff(2267,plain,
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% 0.91/1.09 tff(2268,plain,
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% 0.91/1.09 tff(2269,plain,
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% 0.91/1.09 tff(2270,assumption,(~oxygen(cell3)), introduced(assumption)).
% 0.91/1.09 tff(2271,plain,
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% 0.91/1.09 inference(unit_resolution,[status(thm)],[2270, 2269])).
% 0.91/1.09 tff(2272,plain,(oxygen(cell3) | (~(Y!0 = cell3))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.09 tff(2273,plain,
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% 0.91/1.09 tff(2274,assumption,(oxygen(cell3)), introduced(assumption)).
% 0.91/1.09 tff(2275,plain,
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% 0.91/1.09 tff(2276,axiom,(~(cell3 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49866')).
% 0.91/1.09 tff(2277,plain,
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% 0.91/1.09 inference(modus_ponens,[status(thm)],[2276, 2275])).
% 0.91/1.09 tff(2278,assumption,(oxygen(cell89)), introduced(assumption)).
% 0.91/1.09 tff(2279,plain,
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% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(2280,plain,
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% 0.91/1.09 inference(rewrite,[status(thm)],[])).
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% 0.91/1.09 tff(2287,plain,
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% 0.91/1.09 inference(monotonicity,[status(thm)],[2290])).
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% 0.91/1.09 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell99 = Y!0) | (~oxygen(cell99)) | (~oxygen(Y!0)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (~oxygen(Y!0)) | (cell99 = Y!0) | (~oxygen(cell99)))),
% 0.91/1.09 inference(transitivity,[status(thm)],[2291, 2289])).
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% 0.91/1.11 inference(unit_resolution,[status(thm)],[2256, 2320, 1797, 1796, 1795, 1794, 1793, 1792, 1791, 1790, 1789, 1788, 1787, 1786, 1785, 1784, 1783, 1782, 1781, 1780, 1779, 1778, 1777, 1776, 1775, 1774, 1773, 1772, 1771, 1770, 1769, 1768, 1767, 1766, 1765, 1764, 1763, 1762, 1761, 1760, 1759, 1758, 1757, 1756, 1755, 1754, 1753, 1752, 1751, 1750, 1749, 1748, 1747, 1746, 1745, 1744, 1743, 1742, 1741, 1740, 1739, 1738, 1737, 1736, 1735, 1734, 1733, 1732, 1731, 1730, 1729, 1728, 1727, 1726, 1725, 1724, 1723, 1722, 1721, 1720, 1719, 1718, 1717, 1716, 1715, 1714, 1713, 1712, 1711, 1710, 1709, 1708, 1707, 1706, 1705, 1704, 1703, 1702, 1701, 1700, 1699, 1698, 1697, 1696, 1695, 1694, 1693, 1692, 1691, 1690, 1689, 1688, 1687, 1686, 1685, 1684, 1683, 1682, 1681, 1680, 1679, 1678, 1677, 1676, 1675, 1674, 1673, 1672, 1671, 1670, 1669, 1668, 1667, 1666, 1665, 1664, 1663, 1662, 1661, 1660, 1659, 1658, 1657, 1656, 1655, 1654, 1653, 1652, 1651, 1650, 1649, 1648, 1647, 1646, 1645, 1644, 1643, 1642, 1641, 1640, 1639, 1638, 1637, 1636, 1635, 1634, 1633, 1530, 1529, 1528, 1527, 1526, 1525, 1524, 1523, 1522, 1521, 1520, 1519])).
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% 0.91/1.11 (~edge(X!1, Y!0)),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[2258, 2321])).
% 0.91/1.11 tff(2323,plain,
% 0.91/1.11 ((cell3 = cell88) <=> (cell3 = Y!0)),
% 0.91/1.11 inference(monotonicity,[status(thm)],[2312])).
% 0.91/1.11 tff(2324,plain,
% 0.91/1.11 ((cell3 = cell88) <=> (Y!0 = cell3)),
% 0.91/1.11 inference(transitivity,[status(thm)],[2323, 1975])).
% 0.91/1.11 tff(2325,plain,
% 0.91/1.11 ((~(cell3 = cell88)) <=> (~(Y!0 = cell3))),
% 0.91/1.11 inference(monotonicity,[status(thm)],[2324])).
% 0.91/1.11 tff(2326,plain,
% 0.91/1.11 ((~(cell3 = cell88)) <=> (~(cell3 = cell88))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(2327,axiom,(~(cell3 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49867')).
% 0.91/1.11 tff(2328,plain,
% 0.91/1.11 (~(cell3 = cell88)),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[2327, 2326])).
% 0.91/1.11 tff(2329,plain,
% 0.91/1.11 (~(Y!0 = cell3)),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[2328, 2325])).
% 0.91/1.11 tff(2330,plain,
% 0.91/1.11 ((~(Y!0 = cell3)) | (~(X!1 = cell13))),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[1995, 2329])).
% 0.91/1.11 tff(2331,plain,
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% 0.91/1.11 inference(unit_resolution,[status(thm)],[2262, 2330, 1974, 1973, 1972, 1971, 1970, 1969, 1968, 1967, 1966, 1965, 1964, 1963, 1962, 1961, 1960, 1959, 1958, 1957, 1956, 1955, 1954, 1953, 1952, 1951, 1950, 1949, 1948, 1947, 1946, 1945, 1944, 1943, 1942, 1941, 1940, 1939, 1938, 1937, 1936, 1935, 1934, 1933, 1932, 1931, 1930, 1929, 1928, 1927, 1926, 1925, 1924, 1923, 1922, 1921, 1920, 1919, 1918, 1917, 1916, 1915, 1914, 1913, 1912, 1911, 1910, 1909, 1908, 1907, 1906, 1905, 1904, 1903, 1902, 1901, 1900, 1899, 1898, 1897, 1896, 1895, 1894, 1893, 1892, 1891, 1890, 1889, 1888, 1887, 1886, 1885, 1884, 1883, 1882, 1881, 1880, 1879, 1878, 1877, 1876, 1875, 1874, 1873, 1872, 1871, 1870, 1869, 1868, 1867, 1866, 1865, 1864, 1863, 1862, 1861, 1860, 1859, 1858, 1857, 1856, 1855, 1854, 1853, 1852, 1851, 1850, 1849, 1848, 1847, 1846, 1845, 1844, 1843, 1842, 1841, 1840, 1839, 1838, 1837, 1836, 1835, 1834, 1833, 1832, 1831, 1830, 1829, 1828, 1827, 1826, 1825, 1824, 1823, 1822, 1821, 1820, 1819, 2219, 1818, 1817, 1816, 1815, 1814, 1813, 1812, 1811, 1810, 1809, 1808, 1807, 1806, 1805, 1804, 1803, 1802, 1801, 1800, 1799])).
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% 0.91/1.11 (~edge(Y!0, X!1)),
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% 0.91/1.11 ($false),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[2141, 2332, 2322])).
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% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2407,plain,
% 0.95/1.14 ((~(X!1 = cell92)) | (~(Y!0 = cell91))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2406, 2405])).
% 0.95/1.14 tff(2408,plain,
% 0.95/1.14 ((cell92 = Y!0) <=> (Y!0 = cell92)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2409,plain,
% 0.95/1.14 ((cell92 = cell79) <=> (cell92 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2410,plain,
% 0.95/1.14 ((cell92 = cell79) <=> (Y!0 = cell92)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2409, 2408])).
% 0.95/1.14 tff(2411,plain,
% 0.95/1.14 ((~(cell92 = cell79)) <=> (~(Y!0 = cell92))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2410])).
% 0.95/1.14 tff(2412,plain,
% 0.95/1.14 ((~(cell92 = cell79)) <=> (~(cell92 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2413,axiom,(~(cell92 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45828')).
% 0.95/1.14 tff(2414,plain,
% 0.95/1.14 (~(cell92 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2413, 2412])).
% 0.95/1.14 tff(2415,plain,
% 0.95/1.14 (~(Y!0 = cell92)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2414, 2411])).
% 0.95/1.14 tff(2416,plain,
% 0.95/1.14 (((~(X!1 = cell93)) | (~(Y!0 = cell92))) | (Y!0 = cell92)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2417,plain,
% 0.95/1.14 ((~(X!1 = cell93)) | (~(Y!0 = cell92))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2416, 2415])).
% 0.95/1.14 tff(2418,plain,
% 0.95/1.14 ((cell93 = Y!0) <=> (Y!0 = cell93)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2419,plain,
% 0.95/1.14 ((cell93 = cell79) <=> (cell93 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2420,plain,
% 0.95/1.14 ((cell93 = cell79) <=> (Y!0 = cell93)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2419, 2418])).
% 0.95/1.14 tff(2421,plain,
% 0.95/1.14 ((~(cell93 = cell79)) <=> (~(Y!0 = cell93))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2420])).
% 0.95/1.14 tff(2422,plain,
% 0.95/1.14 ((~(cell93 = cell79)) <=> (~(cell93 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2423,axiom,(~(cell93 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45645')).
% 0.95/1.14 tff(2424,plain,
% 0.95/1.14 (~(cell93 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2423, 2422])).
% 0.95/1.14 tff(2425,plain,
% 0.95/1.14 (~(Y!0 = cell93)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2424, 2421])).
% 0.95/1.14 tff(2426,plain,
% 0.95/1.14 (((~(X!1 = cell94)) | (~(Y!0 = cell93))) | (Y!0 = cell93)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2427,plain,
% 0.95/1.14 ((~(X!1 = cell94)) | (~(Y!0 = cell93))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2426, 2425])).
% 0.95/1.14 tff(2428,plain,
% 0.95/1.14 ((cell94 = Y!0) <=> (Y!0 = cell94)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2429,plain,
% 0.95/1.14 ((cell94 = cell79) <=> (cell94 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2430,plain,
% 0.95/1.14 ((cell94 = cell79) <=> (Y!0 = cell94)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2429, 2428])).
% 0.95/1.14 tff(2431,plain,
% 0.95/1.14 ((~(cell94 = cell79)) <=> (~(Y!0 = cell94))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2430])).
% 0.95/1.14 tff(2432,plain,
% 0.95/1.14 ((~(cell94 = cell79)) <=> (~(cell94 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2433,axiom,(~(cell94 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45552')).
% 0.95/1.14 tff(2434,plain,
% 0.95/1.14 (~(cell94 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2433, 2432])).
% 0.95/1.14 tff(2435,plain,
% 0.95/1.14 (~(Y!0 = cell94)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2434, 2431])).
% 0.95/1.14 tff(2436,plain,
% 0.95/1.14 (((~(X!1 = cell95)) | (~(Y!0 = cell94))) | (Y!0 = cell94)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2437,plain,
% 0.95/1.14 ((~(X!1 = cell95)) | (~(Y!0 = cell94))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2436, 2435])).
% 0.95/1.14 tff(2438,plain,
% 0.95/1.14 ((cell95 = Y!0) <=> (Y!0 = cell95)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2439,plain,
% 0.95/1.14 ((cell95 = cell79) <=> (cell95 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2440,plain,
% 0.95/1.14 ((cell95 = cell79) <=> (Y!0 = cell95)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2439, 2438])).
% 0.95/1.14 tff(2441,plain,
% 0.95/1.14 ((~(cell95 = cell79)) <=> (~(Y!0 = cell95))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2440])).
% 0.95/1.14 tff(2442,plain,
% 0.95/1.14 ((~(cell95 = cell79)) <=> (~(cell95 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2443,axiom,(~(cell95 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45458')).
% 0.95/1.14 tff(2444,plain,
% 0.95/1.14 (~(cell95 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2443, 2442])).
% 0.95/1.14 tff(2445,plain,
% 0.95/1.14 (~(Y!0 = cell95)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2444, 2441])).
% 0.95/1.14 tff(2446,plain,
% 0.95/1.14 (((~(X!1 = cell96)) | (~(Y!0 = cell95))) | (Y!0 = cell95)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2447,plain,
% 0.95/1.14 ((~(X!1 = cell96)) | (~(Y!0 = cell95))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2446, 2445])).
% 0.95/1.14 tff(2448,plain,
% 0.95/1.14 ((cell96 = cell79) <=> (cell96 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2449,plain,
% 0.95/1.14 ((cell96 = cell79) <=> (Y!0 = cell96)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2448, 2386])).
% 0.95/1.14 tff(2450,plain,
% 0.95/1.14 ((~(cell96 = cell79)) <=> (~(Y!0 = cell96))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2449])).
% 0.95/1.14 tff(2451,plain,
% 0.95/1.14 ((~(cell96 = cell79)) <=> (~(cell96 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2452,axiom,(~(cell96 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45363')).
% 0.95/1.14 tff(2453,plain,
% 0.95/1.14 (~(cell96 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2452, 2451])).
% 0.95/1.14 tff(2454,plain,
% 0.95/1.14 (~(Y!0 = cell96)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2453, 2450])).
% 0.95/1.14 tff(2455,plain,
% 0.95/1.14 (((~(X!1 = cell97)) | (~(Y!0 = cell96))) | (Y!0 = cell96)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2456,plain,
% 0.95/1.14 ((~(X!1 = cell97)) | (~(Y!0 = cell96))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2455, 2454])).
% 0.95/1.14 tff(2457,plain,
% 0.95/1.14 ((cell97 = Y!0) <=> (Y!0 = cell97)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2458,plain,
% 0.95/1.14 ((cell97 = cell79) <=> (cell97 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2459,plain,
% 0.95/1.14 ((cell97 = cell79) <=> (Y!0 = cell97)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2458, 2457])).
% 0.95/1.14 tff(2460,plain,
% 0.95/1.14 ((~(cell97 = cell79)) <=> (~(Y!0 = cell97))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2459])).
% 0.95/1.14 tff(2461,plain,
% 0.95/1.14 ((~(cell97 = cell79)) <=> (~(cell97 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2462,axiom,(~(cell97 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45267')).
% 0.95/1.14 tff(2463,plain,
% 0.95/1.14 (~(cell97 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2462, 2461])).
% 0.95/1.14 tff(2464,plain,
% 0.95/1.14 (~(Y!0 = cell97)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2463, 2460])).
% 0.95/1.14 tff(2465,plain,
% 0.95/1.14 (((~(X!1 = cell98)) | (~(Y!0 = cell97))) | (Y!0 = cell97)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2466,plain,
% 0.95/1.14 ((~(X!1 = cell98)) | (~(Y!0 = cell97))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2465, 2464])).
% 0.95/1.14 tff(2467,plain,
% 0.95/1.14 ((cell98 = Y!0) <=> (Y!0 = cell98)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2468,plain,
% 0.95/1.14 ((cell98 = cell79) <=> (cell98 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2469,plain,
% 0.95/1.14 ((cell98 = cell79) <=> (Y!0 = cell98)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2468, 2467])).
% 0.95/1.14 tff(2470,plain,
% 0.95/1.14 ((~(cell98 = cell79)) <=> (~(Y!0 = cell98))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2469])).
% 0.95/1.14 tff(2471,plain,
% 0.95/1.14 ((~(cell98 = cell79)) <=> (~(cell98 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2472,axiom,(~(cell98 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45170')).
% 0.95/1.14 tff(2473,plain,
% 0.95/1.14 (~(cell98 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2472, 2471])).
% 0.95/1.14 tff(2474,plain,
% 0.95/1.14 (~(Y!0 = cell98)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2473, 2470])).
% 0.95/1.14 tff(2475,plain,
% 0.95/1.14 (((~(X!1 = cell99)) | (~(Y!0 = cell98))) | (Y!0 = cell98)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2476,plain,
% 0.95/1.14 ((~(X!1 = cell99)) | (~(Y!0 = cell98))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2475, 2474])).
% 0.95/1.14 tff(2477,plain,
% 0.95/1.14 ((cell88 = Y!0) <=> (Y!0 = cell88)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2478,plain,
% 0.95/1.14 ((cell88 = cell79) <=> (cell88 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2479,plain,
% 0.95/1.14 ((cell88 = cell79) <=> (Y!0 = cell88)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2478, 2477])).
% 0.95/1.14 tff(2480,plain,
% 0.95/1.14 ((~(cell88 = cell79)) <=> (~(Y!0 = cell88))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2479])).
% 0.95/1.14 tff(2481,plain,
% 0.95/1.14 ((~(cell88 = cell79)) <=> (~(cell88 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2482,axiom,(~(cell88 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49895')).
% 0.95/1.14 tff(2483,plain,
% 0.95/1.14 (~(cell88 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2482, 2481])).
% 0.95/1.14 tff(2484,plain,
% 0.95/1.14 (~(Y!0 = cell88)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2483, 2480])).
% 0.95/1.14 tff(2485,plain,
% 0.95/1.14 (((~(Y!0 = cell88)) | (~(X!1 = cell98))) | (Y!0 = cell88)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2486,plain,
% 0.95/1.14 ((~(Y!0 = cell88)) | (~(X!1 = cell98))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2485, 2484])).
% 0.95/1.14 tff(2487,plain,
% 0.95/1.14 (((~(Y!0 = cell1)) | (~(X!1 = cell2))) | (Y!0 = cell1)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2488,plain,
% 0.95/1.14 ((~(Y!0 = cell1)) | (~(X!1 = cell2))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2487, 2396])).
% 0.95/1.14 tff(2489,plain,
% 0.95/1.14 ((cell79 = cell2) <=> (Y!0 = cell2)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2490,plain,
% 0.95/1.14 ((~(cell79 = cell2)) <=> (~(Y!0 = cell2))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2489])).
% 0.95/1.14 tff(2491,plain,
% 0.95/1.14 ((~(cell79 = cell2)) <=> (~(cell79 = cell2))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2492,axiom,(~(cell79 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49907')).
% 0.95/1.14 tff(2493,plain,
% 0.95/1.14 (~(cell79 = cell2)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2492, 2491])).
% 0.95/1.14 tff(2494,plain,
% 0.95/1.14 (~(Y!0 = cell2)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2493, 2490])).
% 0.95/1.14 tff(2495,plain,
% 0.95/1.14 (((~(Y!0 = cell2)) | (~(X!1 = cell3))) | (Y!0 = cell2)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2496,plain,
% 0.95/1.14 ((~(Y!0 = cell2)) | (~(X!1 = cell3))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2495, 2494])).
% 0.95/1.14 tff(2497,plain,
% 0.95/1.14 ((cell3 = cell79) <=> (cell3 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2498,plain,
% 0.95/1.14 ((cell3 = cell79) <=> (Y!0 = cell3)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2497, 1975])).
% 0.95/1.14 tff(2499,plain,
% 0.95/1.14 ((~(cell3 = cell79)) <=> (~(Y!0 = cell3))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2498])).
% 0.95/1.14 tff(2500,plain,
% 0.95/1.14 (~(Y!0 = cell3)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2341, 2499])).
% 0.95/1.14 tff(2501,plain,
% 0.95/1.14 (((~(Y!0 = cell3)) | (~(X!1 = cell4))) | (Y!0 = cell3)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2502,plain,
% 0.95/1.14 ((~(Y!0 = cell3)) | (~(X!1 = cell4))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2501, 2500])).
% 0.95/1.14 tff(2503,plain,
% 0.95/1.14 ((cell4 = Y!0) <=> (Y!0 = cell4)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2504,plain,
% 0.95/1.14 ((cell4 = cell79) <=> (cell4 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2505,plain,
% 0.95/1.14 ((cell4 = cell79) <=> (Y!0 = cell4)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2504, 2503])).
% 0.95/1.14 tff(2506,plain,
% 0.95/1.14 ((~(cell4 = cell79)) <=> (~(Y!0 = cell4))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2505])).
% 0.95/1.14 tff(2507,plain,
% 0.95/1.14 ((~(cell4 = cell79)) <=> (~(cell4 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2508,axiom,(~(cell4 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49857')).
% 0.95/1.14 tff(2509,plain,
% 0.95/1.14 (~(cell4 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2508, 2507])).
% 0.95/1.14 tff(2510,plain,
% 0.95/1.14 (~(Y!0 = cell4)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2509, 2506])).
% 0.95/1.14 tff(2511,plain,
% 0.95/1.14 (((~(Y!0 = cell4)) | (~(X!1 = cell5))) | (Y!0 = cell4)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2512,plain,
% 0.95/1.14 ((~(Y!0 = cell4)) | (~(X!1 = cell5))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2511, 2510])).
% 0.95/1.14 tff(2513,plain,
% 0.95/1.14 ((cell5 = Y!0) <=> (Y!0 = cell5)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2514,plain,
% 0.95/1.14 ((cell5 = cell79) <=> (cell5 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2515,plain,
% 0.95/1.14 ((cell5 = cell79) <=> (Y!0 = cell5)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2514, 2513])).
% 0.95/1.14 tff(2516,plain,
% 0.95/1.14 ((~(cell5 = cell79)) <=> (~(Y!0 = cell5))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2515])).
% 0.95/1.14 tff(2517,plain,
% 0.95/1.14 ((~(cell5 = cell79)) <=> (~(cell5 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2518,axiom,(~(cell5 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49845')).
% 0.95/1.14 tff(2519,plain,
% 0.95/1.14 (~(cell5 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2518, 2517])).
% 0.95/1.14 tff(2520,plain,
% 0.95/1.14 (~(Y!0 = cell5)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2519, 2516])).
% 0.95/1.14 tff(2521,plain,
% 0.95/1.14 (((~(Y!0 = cell5)) | (~(X!1 = cell6))) | (Y!0 = cell5)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2522,plain,
% 0.95/1.14 ((~(Y!0 = cell5)) | (~(X!1 = cell6))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2521, 2520])).
% 0.95/1.14 tff(2523,plain,
% 0.95/1.14 ((cell6 = Y!0) <=> (Y!0 = cell6)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2524,plain,
% 0.95/1.14 ((cell6 = cell79) <=> (cell6 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2525,plain,
% 0.95/1.14 ((cell6 = cell79) <=> (Y!0 = cell6)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2524, 2523])).
% 0.95/1.14 tff(2526,plain,
% 0.95/1.14 ((~(cell6 = cell79)) <=> (~(Y!0 = cell6))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2525])).
% 0.95/1.14 tff(2527,plain,
% 0.95/1.14 ((~(cell6 = cell79)) <=> (~(cell6 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2528,axiom,(~(cell6 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49832')).
% 0.95/1.14 tff(2529,plain,
% 0.95/1.14 (~(cell6 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2528, 2527])).
% 0.95/1.14 tff(2530,plain,
% 0.95/1.14 (~(Y!0 = cell6)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2529, 2526])).
% 0.95/1.14 tff(2531,plain,
% 0.95/1.14 (((~(Y!0 = cell6)) | (~(X!1 = cell7))) | (Y!0 = cell6)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2532,plain,
% 0.95/1.14 ((~(Y!0 = cell6)) | (~(X!1 = cell7))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2531, 2530])).
% 0.95/1.14 tff(2533,plain,
% 0.95/1.14 ((cell7 = Y!0) <=> (Y!0 = cell7)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2534,plain,
% 0.95/1.14 ((cell7 = cell79) <=> (cell7 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2535,plain,
% 0.95/1.14 ((cell7 = cell79) <=> (Y!0 = cell7)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2534, 2533])).
% 0.95/1.14 tff(2536,plain,
% 0.95/1.14 ((~(cell7 = cell79)) <=> (~(Y!0 = cell7))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2535])).
% 0.95/1.14 tff(2537,plain,
% 0.95/1.14 ((~(cell7 = cell79)) <=> (~(cell7 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2538,axiom,(~(cell7 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49818')).
% 0.95/1.14 tff(2539,plain,
% 0.95/1.14 (~(cell7 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2538, 2537])).
% 0.95/1.14 tff(2540,plain,
% 0.95/1.14 (~(Y!0 = cell7)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2539, 2536])).
% 0.95/1.14 tff(2541,plain,
% 0.95/1.14 (((~(Y!0 = cell7)) | (~(X!1 = cell8))) | (Y!0 = cell7)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2542,plain,
% 0.95/1.14 ((~(Y!0 = cell7)) | (~(X!1 = cell8))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2541, 2540])).
% 0.95/1.14 tff(2543,plain,
% 0.95/1.14 ((cell8 = Y!0) <=> (Y!0 = cell8)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2544,plain,
% 0.95/1.14 ((cell8 = cell79) <=> (cell8 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2545,plain,
% 0.95/1.14 ((cell8 = cell79) <=> (Y!0 = cell8)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2544, 2543])).
% 0.95/1.14 tff(2546,plain,
% 0.95/1.14 ((~(cell8 = cell79)) <=> (~(Y!0 = cell8))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2545])).
% 0.95/1.14 tff(2547,plain,
% 0.95/1.14 ((~(cell8 = cell79)) <=> (~(cell8 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2548,axiom,(~(cell8 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49803')).
% 0.95/1.14 tff(2549,plain,
% 0.95/1.14 (~(cell8 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2548, 2547])).
% 0.95/1.14 tff(2550,plain,
% 0.95/1.14 (~(Y!0 = cell8)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2549, 2546])).
% 0.95/1.14 tff(2551,plain,
% 0.95/1.14 (((~(Y!0 = cell8)) | (~(X!1 = cell9))) | (Y!0 = cell8)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2552,plain,
% 0.95/1.14 ((~(Y!0 = cell8)) | (~(X!1 = cell9))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2551, 2550])).
% 0.95/1.14 tff(2553,plain,
% 0.95/1.14 ((cell9 = Y!0) <=> (Y!0 = cell9)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2554,plain,
% 0.95/1.14 ((cell9 = cell79) <=> (cell9 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2555,plain,
% 0.95/1.14 ((cell9 = cell79) <=> (Y!0 = cell9)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2554, 2553])).
% 0.95/1.14 tff(2556,plain,
% 0.95/1.14 ((~(cell9 = cell79)) <=> (~(Y!0 = cell9))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2555])).
% 0.95/1.14 tff(2557,plain,
% 0.95/1.14 ((~(cell9 = cell79)) <=> (~(cell9 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2558,axiom,(~(cell9 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49787')).
% 0.95/1.14 tff(2559,plain,
% 0.95/1.14 (~(cell9 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2558, 2557])).
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% 0.95/1.14 (~(Y!0 = cell9)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2559, 2556])).
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% 0.95/1.14 (((~(Y!0 = cell9)) | (~(X!1 = cell10))) | (Y!0 = cell9)),
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% 0.95/1.14 tff(2562,plain,
% 0.95/1.14 ((~(Y!0 = cell9)) | (~(X!1 = cell10))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2561, 2560])).
% 0.95/1.14 tff(2563,plain,
% 0.95/1.14 ((cell79 = cell11) <=> (Y!0 = cell11)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2564,plain,
% 0.95/1.14 ((~(cell79 = cell11)) <=> (~(Y!0 = cell11))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2563])).
% 0.95/1.14 tff(2565,plain,
% 0.95/1.14 ((~(cell79 = cell11)) <=> (~(cell79 = cell11))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2566,axiom,(~(cell79 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49906')).
% 0.95/1.14 tff(2567,plain,
% 0.95/1.14 (~(cell79 = cell11)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2566, 2565])).
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% 0.95/1.14 (~(Y!0 = cell11)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2567, 2564])).
% 0.95/1.14 tff(2569,plain,
% 0.95/1.14 (((~(Y!0 = cell11)) | (~(X!1 = cell12))) | (Y!0 = cell11)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2570,plain,
% 0.95/1.14 ((~(Y!0 = cell11)) | (~(X!1 = cell12))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2569, 2568])).
% 0.95/1.14 tff(2571,plain,
% 0.95/1.14 ((cell79 = cell12) <=> (Y!0 = cell12)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
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% 0.95/1.14 ((~(cell79 = cell12)) <=> (~(Y!0 = cell12))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2571])).
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% 0.95/1.14 inference(modus_ponens,[status(thm)],[2177, 2572])).
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% 0.95/1.14 ((~(Y!0 = cell12)) | (~(X!1 = cell13))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2003, 2573])).
% 0.95/1.14 tff(2575,plain,
% 0.95/1.14 ((cell79 = cell13) <=> (Y!0 = cell13)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2576,plain,
% 0.95/1.14 ((~(cell79 = cell13)) <=> (~(Y!0 = cell13))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2575])).
% 0.95/1.14 tff(2577,plain,
% 0.95/1.14 (~(Y!0 = cell13)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[857, 2576])).
% 0.95/1.14 tff(2578,plain,
% 0.95/1.14 (((~(Y!0 = cell13)) | (~(X!1 = cell14))) | (Y!0 = cell13)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2579,plain,
% 0.95/1.14 ((~(Y!0 = cell13)) | (~(X!1 = cell14))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2578, 2577])).
% 0.95/1.14 tff(2580,plain,
% 0.95/1.14 ((cell14 = cell79) <=> (cell14 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2581,plain,
% 0.95/1.14 ((cell14 = cell79) <=> (Y!0 = cell14)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2580, 1798])).
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% 0.95/1.14 ((~(cell14 = cell79)) <=> (~(Y!0 = cell14))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2581])).
% 0.95/1.14 tff(2583,plain,
% 0.95/1.14 (~(Y!0 = cell14)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2372, 2582])).
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% 0.95/1.14 (((~(Y!0 = cell14)) | (~(X!1 = cell15))) | (Y!0 = cell14)),
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% 0.95/1.14 tff(2585,plain,
% 0.95/1.14 ((~(Y!0 = cell14)) | (~(X!1 = cell15))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2584, 2583])).
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% 0.95/1.14 ((cell15 = Y!0) <=> (Y!0 = cell15)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2587,plain,
% 0.95/1.14 ((cell15 = cell79) <=> (cell15 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
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% 0.95/1.14 ((cell15 = cell79) <=> (Y!0 = cell15)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2587, 2586])).
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% 0.95/1.14 ((~(cell15 = cell79)) <=> (~(Y!0 = cell15))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2588])).
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% 0.95/1.14 ((~(cell15 = cell79)) <=> (~(cell15 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2591,axiom,(~(cell15 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49733')).
% 0.95/1.14 tff(2592,plain,
% 0.95/1.14 (~(cell15 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2591, 2590])).
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% 0.95/1.14 inference(modus_ponens,[status(thm)],[2592, 2589])).
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% 0.95/1.14 (((~(Y!0 = cell15)) | (~(X!1 = cell16))) | (Y!0 = cell15)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
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% 0.95/1.14 inference(unit_resolution,[status(thm)],[2594, 2593])).
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% 0.95/1.14 ((cell16 = Y!0) <=> (Y!0 = cell16)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
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% 0.95/1.14 ((cell16 = cell79) <=> (cell16 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
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% 0.95/1.14 ((cell16 = cell79) <=> (Y!0 = cell16)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2597, 2596])).
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% 0.95/1.14 ((~(cell16 = cell79)) <=> (~(Y!0 = cell16))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2598])).
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% 0.95/1.14 ((~(cell16 = cell79)) <=> (~(cell16 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2601,axiom,(~(cell16 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49713')).
% 0.95/1.14 tff(2602,plain,
% 0.95/1.14 (~(cell16 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2601, 2600])).
% 0.95/1.14 tff(2603,plain,
% 0.95/1.14 (~(Y!0 = cell16)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2602, 2599])).
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% 0.95/1.14 (((~(Y!0 = cell16)) | (~(X!1 = cell17))) | (Y!0 = cell16)),
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% 0.95/1.14 inference(unit_resolution,[status(thm)],[2604, 2603])).
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% 0.95/1.14 ((cell17 = Y!0) <=> (Y!0 = cell17)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
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% 0.95/1.14 ((cell17 = cell79) <=> (cell17 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2608,plain,
% 0.95/1.14 ((cell17 = cell79) <=> (Y!0 = cell17)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2607, 2606])).
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% 0.95/1.14 ((~(cell17 = cell79)) <=> (~(Y!0 = cell17))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2608])).
% 0.95/1.14 tff(2610,plain,
% 0.95/1.14 ((~(cell17 = cell79)) <=> (~(cell17 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2611,axiom,(~(cell17 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49692')).
% 0.95/1.14 tff(2612,plain,
% 0.95/1.14 (~(cell17 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2611, 2610])).
% 0.95/1.14 tff(2613,plain,
% 0.95/1.14 (~(Y!0 = cell17)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2612, 2609])).
% 0.95/1.14 tff(2614,plain,
% 0.95/1.14 (((~(Y!0 = cell17)) | (~(X!1 = cell18))) | (Y!0 = cell17)),
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% 0.95/1.14 tff(2615,plain,
% 0.95/1.14 ((~(Y!0 = cell17)) | (~(X!1 = cell18))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2614, 2613])).
% 0.95/1.14 tff(2616,plain,
% 0.95/1.14 ((cell18 = Y!0) <=> (Y!0 = cell18)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2617,plain,
% 0.95/1.14 ((cell18 = cell79) <=> (cell18 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2618,plain,
% 0.95/1.14 ((cell18 = cell79) <=> (Y!0 = cell18)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2617, 2616])).
% 0.95/1.14 tff(2619,plain,
% 0.95/1.14 ((~(cell18 = cell79)) <=> (~(Y!0 = cell18))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2618])).
% 0.95/1.14 tff(2620,plain,
% 0.95/1.14 ((~(cell18 = cell79)) <=> (~(cell18 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2621,axiom,(~(cell18 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49670')).
% 0.95/1.14 tff(2622,plain,
% 0.95/1.14 (~(cell18 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2621, 2620])).
% 0.95/1.14 tff(2623,plain,
% 0.95/1.14 (~(Y!0 = cell18)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2622, 2619])).
% 0.95/1.14 tff(2624,plain,
% 0.95/1.14 (((~(Y!0 = cell18)) | (~(X!1 = cell19))) | (Y!0 = cell18)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2625,plain,
% 0.95/1.14 ((~(Y!0 = cell18)) | (~(X!1 = cell19))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2624, 2623])).
% 0.95/1.14 tff(2626,plain,
% 0.95/1.14 ((cell19 = Y!0) <=> (Y!0 = cell19)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2627,plain,
% 0.95/1.14 ((cell19 = cell79) <=> (cell19 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2628,plain,
% 0.95/1.14 ((cell19 = cell79) <=> (Y!0 = cell19)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2627, 2626])).
% 0.95/1.14 tff(2629,plain,
% 0.95/1.14 ((~(cell19 = cell79)) <=> (~(Y!0 = cell19))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2628])).
% 0.95/1.14 tff(2630,plain,
% 0.95/1.14 ((~(cell19 = cell79)) <=> (~(cell19 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2631,axiom,(~(cell19 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49647')).
% 0.95/1.14 tff(2632,plain,
% 0.95/1.14 (~(cell19 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2631, 2630])).
% 0.95/1.14 tff(2633,plain,
% 0.95/1.14 (~(Y!0 = cell19)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2632, 2629])).
% 0.95/1.14 tff(2634,plain,
% 0.95/1.14 (((~(Y!0 = cell19)) | (~(X!1 = cell20))) | (Y!0 = cell19)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2635,plain,
% 0.95/1.14 ((~(Y!0 = cell19)) | (~(X!1 = cell20))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2634, 2633])).
% 0.95/1.14 tff(2636,plain,
% 0.95/1.14 ((cell21 = cell79) <=> (cell21 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2637,plain,
% 0.95/1.14 ((cell21 = cell79) <=> (Y!0 = cell21)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2636, 2109])).
% 0.95/1.14 tff(2638,plain,
% 0.95/1.14 ((~(cell21 = cell79)) <=> (~(Y!0 = cell21))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2637])).
% 0.95/1.14 tff(2639,plain,
% 0.95/1.14 ((~(cell21 = cell79)) <=> (~(cell21 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2640,axiom,(~(cell21 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49598')).
% 0.95/1.14 tff(2641,plain,
% 0.95/1.14 (~(cell21 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2640, 2639])).
% 0.95/1.14 tff(2642,plain,
% 0.95/1.14 (~(Y!0 = cell21)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2641, 2638])).
% 0.95/1.14 tff(2643,plain,
% 0.95/1.14 (((~(Y!0 = cell21)) | (~(X!1 = cell22))) | (Y!0 = cell21)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2644,plain,
% 0.95/1.14 ((~(Y!0 = cell21)) | (~(X!1 = cell22))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2643, 2642])).
% 0.95/1.14 tff(2645,plain,
% 0.95/1.14 ((cell79 = cell22) <=> (Y!0 = cell22)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2646,plain,
% 0.95/1.14 ((~(cell79 = cell22)) <=> (~(Y!0 = cell22))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2645])).
% 0.95/1.14 tff(2647,plain,
% 0.95/1.14 (~(Y!0 = cell22)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2044, 2646])).
% 0.95/1.14 tff(2648,plain,
% 0.95/1.14 ((~(Y!0 = cell22)) | (~(X!1 = cell23))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2076, 2647])).
% 0.95/1.14 tff(2649,plain,
% 0.95/1.14 ((cell23 = cell79) <=> (cell23 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2650,plain,
% 0.95/1.14 ((cell23 = cell79) <=> (Y!0 = cell23)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2649, 2357])).
% 0.95/1.14 tff(2651,plain,
% 0.95/1.14 ((~(cell23 = cell79)) <=> (~(Y!0 = cell23))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2650])).
% 0.95/1.14 tff(2652,plain,
% 0.95/1.14 (~(Y!0 = cell23)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2364, 2651])).
% 0.95/1.14 tff(2653,plain,
% 0.95/1.14 (((~(Y!0 = cell23)) | (~(X!1 = cell24))) | (Y!0 = cell23)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2654,plain,
% 0.95/1.14 ((~(Y!0 = cell23)) | (~(X!1 = cell24))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2653, 2652])).
% 0.95/1.14 tff(2655,plain,
% 0.95/1.14 ((cell24 = Y!0) <=> (Y!0 = cell24)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2656,plain,
% 0.95/1.14 ((cell24 = cell79) <=> (cell24 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2657,plain,
% 0.95/1.14 ((cell24 = cell79) <=> (Y!0 = cell24)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2656, 2655])).
% 0.95/1.14 tff(2658,plain,
% 0.95/1.14 ((~(cell24 = cell79)) <=> (~(Y!0 = cell24))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2657])).
% 0.95/1.14 tff(2659,plain,
% 0.95/1.14 ((~(cell24 = cell79)) <=> (~(cell24 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2660,axiom,(~(cell24 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49545')).
% 0.95/1.14 tff(2661,plain,
% 0.95/1.14 (~(cell24 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2660, 2659])).
% 0.95/1.14 tff(2662,plain,
% 0.95/1.14 (~(Y!0 = cell24)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2661, 2658])).
% 0.95/1.14 tff(2663,plain,
% 0.95/1.14 (((~(Y!0 = cell24)) | (~(X!1 = cell25))) | (Y!0 = cell24)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2664,plain,
% 0.95/1.14 ((~(Y!0 = cell24)) | (~(X!1 = cell25))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2663, 2662])).
% 0.95/1.14 tff(2665,plain,
% 0.95/1.14 ((cell25 = Y!0) <=> (Y!0 = cell25)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2666,plain,
% 0.95/1.14 ((cell25 = cell79) <=> (cell25 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2667,plain,
% 0.95/1.14 ((cell25 = cell79) <=> (Y!0 = cell25)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2666, 2665])).
% 0.95/1.14 tff(2668,plain,
% 0.95/1.14 ((~(cell25 = cell79)) <=> (~(Y!0 = cell25))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2667])).
% 0.95/1.14 tff(2669,plain,
% 0.95/1.14 ((~(cell25 = cell79)) <=> (~(cell25 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2670,axiom,(~(cell25 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49517')).
% 0.95/1.14 tff(2671,plain,
% 0.95/1.14 (~(cell25 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2670, 2669])).
% 0.95/1.14 tff(2672,plain,
% 0.95/1.14 (~(Y!0 = cell25)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2671, 2668])).
% 0.95/1.14 tff(2673,plain,
% 0.95/1.14 (((~(Y!0 = cell25)) | (~(X!1 = cell26))) | (Y!0 = cell25)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2674,plain,
% 0.95/1.14 ((~(Y!0 = cell25)) | (~(X!1 = cell26))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2673, 2672])).
% 0.95/1.14 tff(2675,plain,
% 0.95/1.14 ((cell26 = Y!0) <=> (Y!0 = cell26)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2676,plain,
% 0.95/1.14 ((cell26 = cell79) <=> (cell26 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2677,plain,
% 0.95/1.14 ((cell26 = cell79) <=> (Y!0 = cell26)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2676, 2675])).
% 0.95/1.14 tff(2678,plain,
% 0.95/1.14 ((~(cell26 = cell79)) <=> (~(Y!0 = cell26))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2677])).
% 0.95/1.14 tff(2679,plain,
% 0.95/1.14 ((~(cell26 = cell79)) <=> (~(cell26 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2680,axiom,(~(cell26 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49488')).
% 0.95/1.14 tff(2681,plain,
% 0.95/1.14 (~(cell26 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2680, 2679])).
% 0.95/1.14 tff(2682,plain,
% 0.95/1.14 (~(Y!0 = cell26)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2681, 2678])).
% 0.95/1.14 tff(2683,plain,
% 0.95/1.14 (((~(Y!0 = cell26)) | (~(X!1 = cell27))) | (Y!0 = cell26)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2684,plain,
% 0.95/1.14 ((~(Y!0 = cell26)) | (~(X!1 = cell27))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2683, 2682])).
% 0.95/1.14 tff(2685,plain,
% 0.95/1.14 ((cell27 = Y!0) <=> (Y!0 = cell27)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2686,plain,
% 0.95/1.14 ((cell27 = cell79) <=> (cell27 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2687,plain,
% 0.95/1.14 ((cell27 = cell79) <=> (Y!0 = cell27)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2686, 2685])).
% 0.95/1.14 tff(2688,plain,
% 0.95/1.14 ((~(cell27 = cell79)) <=> (~(Y!0 = cell27))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2687])).
% 0.95/1.14 tff(2689,plain,
% 0.95/1.14 ((~(cell27 = cell79)) <=> (~(cell27 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2690,axiom,(~(cell27 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49458')).
% 0.95/1.14 tff(2691,plain,
% 0.95/1.14 (~(cell27 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2690, 2689])).
% 0.95/1.14 tff(2692,plain,
% 0.95/1.14 (~(Y!0 = cell27)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2691, 2688])).
% 0.95/1.14 tff(2693,plain,
% 0.95/1.14 (((~(Y!0 = cell27)) | (~(X!1 = cell28))) | (Y!0 = cell27)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2694,plain,
% 0.95/1.14 ((~(Y!0 = cell27)) | (~(X!1 = cell28))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2693, 2692])).
% 0.95/1.14 tff(2695,plain,
% 0.95/1.14 ((cell28 = Y!0) <=> (Y!0 = cell28)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2696,plain,
% 0.95/1.14 ((cell28 = cell79) <=> (cell28 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2697,plain,
% 0.95/1.14 ((cell28 = cell79) <=> (Y!0 = cell28)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2696, 2695])).
% 0.95/1.14 tff(2698,plain,
% 0.95/1.14 ((~(cell28 = cell79)) <=> (~(Y!0 = cell28))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2697])).
% 0.95/1.14 tff(2699,plain,
% 0.95/1.14 ((~(cell28 = cell79)) <=> (~(cell28 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2700,axiom,(~(cell28 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49427')).
% 0.95/1.14 tff(2701,plain,
% 0.95/1.14 (~(cell28 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2700, 2699])).
% 0.95/1.14 tff(2702,plain,
% 0.95/1.14 (~(Y!0 = cell28)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2701, 2698])).
% 0.95/1.14 tff(2703,plain,
% 0.95/1.14 (((~(Y!0 = cell28)) | (~(X!1 = cell29))) | (Y!0 = cell28)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2704,plain,
% 0.95/1.14 ((~(Y!0 = cell28)) | (~(X!1 = cell29))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2703, 2702])).
% 0.95/1.14 tff(2705,plain,
% 0.95/1.14 ((cell29 = Y!0) <=> (Y!0 = cell29)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2706,plain,
% 0.95/1.14 ((cell29 = cell79) <=> (cell29 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2707,plain,
% 0.95/1.14 ((cell29 = cell79) <=> (Y!0 = cell29)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2706, 2705])).
% 0.95/1.14 tff(2708,plain,
% 0.95/1.14 ((~(cell29 = cell79)) <=> (~(Y!0 = cell29))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2707])).
% 0.95/1.14 tff(2709,plain,
% 0.95/1.14 ((~(cell29 = cell79)) <=> (~(cell29 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2710,axiom,(~(cell29 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49395')).
% 0.95/1.14 tff(2711,plain,
% 0.95/1.14 (~(cell29 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2710, 2709])).
% 0.95/1.14 tff(2712,plain,
% 0.95/1.14 (~(Y!0 = cell29)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2711, 2708])).
% 0.95/1.14 tff(2713,plain,
% 0.95/1.14 (((~(Y!0 = cell29)) | (~(X!1 = cell30))) | (Y!0 = cell29)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2714,plain,
% 0.95/1.14 ((~(Y!0 = cell29)) | (~(X!1 = cell30))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2713, 2712])).
% 0.95/1.14 tff(2715,plain,
% 0.95/1.14 ((cell31 = Y!0) <=> (Y!0 = cell31)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2716,plain,
% 0.95/1.14 ((cell31 = cell79) <=> (cell31 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2717,plain,
% 0.95/1.14 ((cell31 = cell79) <=> (Y!0 = cell31)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2716, 2715])).
% 0.95/1.14 tff(2718,plain,
% 0.95/1.14 ((~(cell31 = cell79)) <=> (~(Y!0 = cell31))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2717])).
% 0.95/1.14 tff(2719,plain,
% 0.95/1.14 ((~(cell31 = cell79)) <=> (~(cell31 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2720,axiom,(~(cell31 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49293')).
% 0.95/1.14 tff(2721,plain,
% 0.95/1.14 (~(cell31 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2720, 2719])).
% 0.95/1.14 tff(2722,plain,
% 0.95/1.14 (~(Y!0 = cell31)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2721, 2718])).
% 0.95/1.14 tff(2723,plain,
% 0.95/1.14 (((~(Y!0 = cell31)) | (~(X!1 = cell32))) | (Y!0 = cell31)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2724,plain,
% 0.95/1.14 ((~(Y!0 = cell31)) | (~(X!1 = cell32))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2723, 2722])).
% 0.95/1.14 tff(2725,plain,
% 0.95/1.14 ((cell32 = Y!0) <=> (Y!0 = cell32)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2726,plain,
% 0.95/1.14 ((cell32 = cell79) <=> (cell32 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2727,plain,
% 0.95/1.14 ((cell32 = cell79) <=> (Y!0 = cell32)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2726, 2725])).
% 0.95/1.14 tff(2728,plain,
% 0.95/1.14 ((~(cell32 = cell79)) <=> (~(Y!0 = cell32))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2727])).
% 0.95/1.14 tff(2729,plain,
% 0.95/1.14 ((~(cell32 = cell79)) <=> (~(cell32 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2730,axiom,(~(cell32 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49328')).
% 0.95/1.14 tff(2731,plain,
% 0.95/1.14 (~(cell32 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2730, 2729])).
% 0.95/1.14 tff(2732,plain,
% 0.95/1.14 (~(Y!0 = cell32)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2731, 2728])).
% 0.95/1.14 tff(2733,plain,
% 0.95/1.14 (((~(Y!0 = cell32)) | (~(X!1 = cell33))) | (Y!0 = cell32)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2734,plain,
% 0.95/1.14 ((~(Y!0 = cell32)) | (~(X!1 = cell33))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2733, 2732])).
% 0.95/1.14 tff(2735,plain,
% 0.95/1.14 ((cell33 = Y!0) <=> (Y!0 = cell33)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2736,plain,
% 0.95/1.14 ((cell33 = cell79) <=> (cell33 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2737,plain,
% 0.95/1.14 ((cell33 = cell79) <=> (Y!0 = cell33)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2736, 2735])).
% 0.95/1.14 tff(2738,plain,
% 0.95/1.14 ((~(cell33 = cell79)) <=> (~(Y!0 = cell33))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2737])).
% 0.95/1.14 tff(2739,plain,
% 0.95/1.14 ((~(cell33 = cell79)) <=> (~(cell33 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2740,axiom,(~(cell33 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49257')).
% 0.95/1.14 tff(2741,plain,
% 0.95/1.14 (~(cell33 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2740, 2739])).
% 0.95/1.14 tff(2742,plain,
% 0.95/1.14 (~(Y!0 = cell33)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2741, 2738])).
% 0.95/1.14 tff(2743,plain,
% 0.95/1.14 (((~(Y!0 = cell33)) | (~(X!1 = cell34))) | (Y!0 = cell33)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2744,plain,
% 0.95/1.14 ((~(Y!0 = cell33)) | (~(X!1 = cell34))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2743, 2742])).
% 0.95/1.14 tff(2745,plain,
% 0.95/1.14 ((cell34 = Y!0) <=> (Y!0 = cell34)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2746,plain,
% 0.95/1.14 ((cell34 = cell79) <=> (cell34 = Y!0)),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.14 tff(2747,plain,
% 0.95/1.14 ((cell34 = cell79) <=> (Y!0 = cell34)),
% 0.95/1.14 inference(transitivity,[status(thm)],[2746, 2745])).
% 0.95/1.14 tff(2748,plain,
% 0.95/1.14 ((~(cell34 = cell79)) <=> (~(Y!0 = cell34))),
% 0.95/1.14 inference(monotonicity,[status(thm)],[2747])).
% 0.95/1.14 tff(2749,plain,
% 0.95/1.14 ((~(cell34 = cell79)) <=> (~(cell34 = cell79))),
% 0.95/1.14 inference(rewrite,[status(thm)],[])).
% 0.95/1.14 tff(2750,axiom,(~(cell34 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49220')).
% 0.95/1.14 tff(2751,plain,
% 0.95/1.14 (~(cell34 = cell79)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2750, 2749])).
% 0.95/1.14 tff(2752,plain,
% 0.95/1.14 (~(Y!0 = cell34)),
% 0.95/1.14 inference(modus_ponens,[status(thm)],[2751, 2748])).
% 0.95/1.14 tff(2753,plain,
% 0.95/1.14 (((~(Y!0 = cell34)) | (~(X!1 = cell35))) | (Y!0 = cell34)),
% 0.95/1.14 inference(tautology,[status(thm)],[])).
% 0.95/1.14 tff(2754,plain,
% 0.95/1.14 ((~(Y!0 = cell34)) | (~(X!1 = cell35))),
% 0.95/1.14 inference(unit_resolution,[status(thm)],[2753, 2752])).
% 0.95/1.14 tff(2755,plain,
% 0.95/1.14 ((cell35 = Y!0) <=> (Y!0 = cell35)),
% 0.95/1.14 inference(commutativity,[status(thm)],[])).
% 0.95/1.14 tff(2756,plain,
% 0.95/1.14 ((cell35 = cell79) <=> (cell35 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2757,plain,
% 0.95/1.15 ((cell35 = cell79) <=> (Y!0 = cell35)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2756, 2755])).
% 0.95/1.15 tff(2758,plain,
% 0.95/1.15 ((~(cell35 = cell79)) <=> (~(Y!0 = cell35))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2757])).
% 0.95/1.15 tff(2759,plain,
% 0.95/1.15 ((~(cell35 = cell79)) <=> (~(cell35 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2760,axiom,(~(cell35 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49182')).
% 0.95/1.15 tff(2761,plain,
% 0.95/1.15 (~(cell35 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2760, 2759])).
% 0.95/1.15 tff(2762,plain,
% 0.95/1.15 (~(Y!0 = cell35)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2761, 2758])).
% 0.95/1.15 tff(2763,plain,
% 0.95/1.15 (((~(Y!0 = cell35)) | (~(X!1 = cell36))) | (Y!0 = cell35)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2764,plain,
% 0.95/1.15 ((~(Y!0 = cell35)) | (~(X!1 = cell36))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2763, 2762])).
% 0.95/1.15 tff(2765,plain,
% 0.95/1.15 ((cell36 = Y!0) <=> (Y!0 = cell36)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2766,plain,
% 0.95/1.15 ((cell36 = cell79) <=> (cell36 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2767,plain,
% 0.95/1.15 ((cell36 = cell79) <=> (Y!0 = cell36)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2766, 2765])).
% 0.95/1.15 tff(2768,plain,
% 0.95/1.15 ((~(cell36 = cell79)) <=> (~(Y!0 = cell36))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2767])).
% 0.95/1.15 tff(2769,plain,
% 0.95/1.15 ((~(cell36 = cell79)) <=> (~(cell36 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2770,axiom,(~(cell36 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49143')).
% 0.95/1.15 tff(2771,plain,
% 0.95/1.15 (~(cell36 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2770, 2769])).
% 0.95/1.15 tff(2772,plain,
% 0.95/1.15 (~(Y!0 = cell36)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2771, 2768])).
% 0.95/1.15 tff(2773,plain,
% 0.95/1.15 (((~(Y!0 = cell36)) | (~(X!1 = cell37))) | (Y!0 = cell36)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2774,plain,
% 0.95/1.15 ((~(Y!0 = cell36)) | (~(X!1 = cell37))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2773, 2772])).
% 0.95/1.15 tff(2775,plain,
% 0.95/1.15 ((cell37 = Y!0) <=> (Y!0 = cell37)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2776,plain,
% 0.95/1.15 ((cell37 = cell79) <=> (cell37 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2777,plain,
% 0.95/1.15 ((cell37 = cell79) <=> (Y!0 = cell37)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2776, 2775])).
% 0.95/1.15 tff(2778,plain,
% 0.95/1.15 ((~(cell37 = cell79)) <=> (~(Y!0 = cell37))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2777])).
% 0.95/1.15 tff(2779,plain,
% 0.95/1.15 ((~(cell37 = cell79)) <=> (~(cell37 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2780,axiom,(~(cell37 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49103')).
% 0.95/1.15 tff(2781,plain,
% 0.95/1.15 (~(cell37 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2780, 2779])).
% 0.95/1.15 tff(2782,plain,
% 0.95/1.15 (~(Y!0 = cell37)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2781, 2778])).
% 0.95/1.15 tff(2783,plain,
% 0.95/1.15 (((~(Y!0 = cell37)) | (~(X!1 = cell38))) | (Y!0 = cell37)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2784,plain,
% 0.95/1.15 ((~(Y!0 = cell37)) | (~(X!1 = cell38))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2783, 2782])).
% 0.95/1.15 tff(2785,plain,
% 0.95/1.15 ((cell38 = Y!0) <=> (Y!0 = cell38)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2786,plain,
% 0.95/1.15 ((cell38 = cell79) <=> (cell38 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2787,plain,
% 0.95/1.15 ((cell38 = cell79) <=> (Y!0 = cell38)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2786, 2785])).
% 0.95/1.15 tff(2788,plain,
% 0.95/1.15 ((~(cell38 = cell79)) <=> (~(Y!0 = cell38))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2787])).
% 0.95/1.15 tff(2789,plain,
% 0.95/1.15 ((~(cell38 = cell79)) <=> (~(cell38 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2790,axiom,(~(cell38 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49062')).
% 0.95/1.15 tff(2791,plain,
% 0.95/1.15 (~(cell38 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2790, 2789])).
% 0.95/1.15 tff(2792,plain,
% 0.95/1.15 (~(Y!0 = cell38)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2791, 2788])).
% 0.95/1.15 tff(2793,plain,
% 0.95/1.15 (((~(Y!0 = cell38)) | (~(X!1 = cell39))) | (Y!0 = cell38)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2794,plain,
% 0.95/1.15 ((~(Y!0 = cell38)) | (~(X!1 = cell39))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2793, 2792])).
% 0.95/1.15 tff(2795,plain,
% 0.95/1.15 ((cell39 = Y!0) <=> (Y!0 = cell39)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2796,plain,
% 0.95/1.15 ((cell39 = cell79) <=> (cell39 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2797,plain,
% 0.95/1.15 ((cell39 = cell79) <=> (Y!0 = cell39)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2796, 2795])).
% 0.95/1.15 tff(2798,plain,
% 0.95/1.15 ((~(cell39 = cell79)) <=> (~(Y!0 = cell39))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2797])).
% 0.95/1.15 tff(2799,plain,
% 0.95/1.15 ((~(cell39 = cell79)) <=> (~(cell39 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2800,axiom,(~(cell39 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49020')).
% 0.95/1.15 tff(2801,plain,
% 0.95/1.15 (~(cell39 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2800, 2799])).
% 0.95/1.15 tff(2802,plain,
% 0.95/1.15 (~(Y!0 = cell39)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2801, 2798])).
% 0.95/1.15 tff(2803,plain,
% 0.95/1.15 (((~(Y!0 = cell39)) | (~(X!1 = cell40))) | (Y!0 = cell39)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2804,plain,
% 0.95/1.15 ((~(Y!0 = cell39)) | (~(X!1 = cell40))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2803, 2802])).
% 0.95/1.15 tff(2805,plain,
% 0.95/1.15 ((cell41 = Y!0) <=> (Y!0 = cell41)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2806,plain,
% 0.95/1.15 ((cell41 = cell79) <=> (cell41 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2807,plain,
% 0.95/1.15 ((cell41 = cell79) <=> (Y!0 = cell41)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2806, 2805])).
% 0.95/1.15 tff(2808,plain,
% 0.95/1.15 ((~(cell41 = cell79)) <=> (~(Y!0 = cell41))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2807])).
% 0.95/1.15 tff(2809,plain,
% 0.95/1.15 ((~(cell41 = cell79)) <=> (~(cell41 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2810,axiom,(~(cell41 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48888')).
% 0.95/1.15 tff(2811,plain,
% 0.95/1.15 (~(cell41 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2810, 2809])).
% 0.95/1.15 tff(2812,plain,
% 0.95/1.15 (~(Y!0 = cell41)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2811, 2808])).
% 0.95/1.15 tff(2813,plain,
% 0.95/1.15 (((~(Y!0 = cell41)) | (~(X!1 = cell42))) | (Y!0 = cell41)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2814,plain,
% 0.95/1.15 ((~(Y!0 = cell41)) | (~(X!1 = cell42))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2813, 2812])).
% 0.95/1.15 tff(2815,plain,
% 0.95/1.15 ((cell42 = Y!0) <=> (Y!0 = cell42)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2816,plain,
% 0.95/1.15 ((cell42 = cell79) <=> (cell42 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2817,plain,
% 0.95/1.15 ((cell42 = cell79) <=> (Y!0 = cell42)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2816, 2815])).
% 0.95/1.15 tff(2818,plain,
% 0.95/1.15 ((~(cell42 = cell79)) <=> (~(Y!0 = cell42))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2817])).
% 0.95/1.15 tff(2819,plain,
% 0.95/1.15 ((~(cell42 = cell79)) <=> (~(cell42 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2820,axiom,(~(cell42 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48933')).
% 0.95/1.15 tff(2821,plain,
% 0.95/1.15 (~(cell42 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2820, 2819])).
% 0.95/1.15 tff(2822,plain,
% 0.95/1.15 (~(Y!0 = cell42)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2821, 2818])).
% 0.95/1.15 tff(2823,plain,
% 0.95/1.15 (((~(Y!0 = cell42)) | (~(X!1 = cell43))) | (Y!0 = cell42)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2824,plain,
% 0.95/1.15 ((~(Y!0 = cell42)) | (~(X!1 = cell43))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2823, 2822])).
% 0.95/1.15 tff(2825,plain,
% 0.95/1.15 ((cell43 = Y!0) <=> (Y!0 = cell43)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2826,plain,
% 0.95/1.15 ((cell43 = cell79) <=> (cell43 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2827,plain,
% 0.95/1.15 ((cell43 = cell79) <=> (Y!0 = cell43)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2826, 2825])).
% 0.95/1.15 tff(2828,plain,
% 0.95/1.15 ((~(cell43 = cell79)) <=> (~(Y!0 = cell43))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2827])).
% 0.95/1.15 tff(2829,plain,
% 0.95/1.15 ((~(cell43 = cell79)) <=> (~(cell43 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2830,axiom,(~(cell43 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48842')).
% 0.95/1.15 tff(2831,plain,
% 0.95/1.15 (~(cell43 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2830, 2829])).
% 0.95/1.15 tff(2832,plain,
% 0.95/1.15 (~(Y!0 = cell43)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2831, 2828])).
% 0.95/1.15 tff(2833,plain,
% 0.95/1.15 (((~(Y!0 = cell43)) | (~(X!1 = cell44))) | (Y!0 = cell43)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2834,plain,
% 0.95/1.15 ((~(Y!0 = cell43)) | (~(X!1 = cell44))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2833, 2832])).
% 0.95/1.15 tff(2835,plain,
% 0.95/1.15 ((cell44 = Y!0) <=> (Y!0 = cell44)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2836,plain,
% 0.95/1.15 ((cell44 = cell79) <=> (cell44 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2837,plain,
% 0.95/1.15 ((cell44 = cell79) <=> (Y!0 = cell44)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2836, 2835])).
% 0.95/1.15 tff(2838,plain,
% 0.95/1.15 ((~(cell44 = cell79)) <=> (~(Y!0 = cell44))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2837])).
% 0.95/1.15 tff(2839,plain,
% 0.95/1.15 ((~(cell44 = cell79)) <=> (~(cell44 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2840,axiom,(~(cell44 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48795')).
% 0.95/1.15 tff(2841,plain,
% 0.95/1.15 (~(cell44 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2840, 2839])).
% 0.95/1.15 tff(2842,plain,
% 0.95/1.15 (~(Y!0 = cell44)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2841, 2838])).
% 0.95/1.15 tff(2843,plain,
% 0.95/1.15 (((~(Y!0 = cell44)) | (~(X!1 = cell45))) | (Y!0 = cell44)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2844,plain,
% 0.95/1.15 ((~(Y!0 = cell44)) | (~(X!1 = cell45))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2843, 2842])).
% 0.95/1.15 tff(2845,plain,
% 0.95/1.15 ((cell45 = Y!0) <=> (Y!0 = cell45)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2846,plain,
% 0.95/1.15 ((cell45 = cell79) <=> (cell45 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2847,plain,
% 0.95/1.15 ((cell45 = cell79) <=> (Y!0 = cell45)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2846, 2845])).
% 0.95/1.15 tff(2848,plain,
% 0.95/1.15 ((~(cell45 = cell79)) <=> (~(Y!0 = cell45))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2847])).
% 0.95/1.15 tff(2849,plain,
% 0.95/1.15 ((~(cell45 = cell79)) <=> (~(cell45 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2850,axiom,(~(cell45 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48747')).
% 0.95/1.15 tff(2851,plain,
% 0.95/1.15 (~(cell45 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2850, 2849])).
% 0.95/1.15 tff(2852,plain,
% 0.95/1.15 (~(Y!0 = cell45)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2851, 2848])).
% 0.95/1.15 tff(2853,plain,
% 0.95/1.15 (((~(Y!0 = cell45)) | (~(X!1 = cell46))) | (Y!0 = cell45)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2854,plain,
% 0.95/1.15 ((~(Y!0 = cell45)) | (~(X!1 = cell46))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2853, 2852])).
% 0.95/1.15 tff(2855,plain,
% 0.95/1.15 ((cell46 = Y!0) <=> (Y!0 = cell46)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2856,plain,
% 0.95/1.15 ((cell46 = cell79) <=> (cell46 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2857,plain,
% 0.95/1.15 ((cell46 = cell79) <=> (Y!0 = cell46)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2856, 2855])).
% 0.95/1.15 tff(2858,plain,
% 0.95/1.15 ((~(cell46 = cell79)) <=> (~(Y!0 = cell46))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2857])).
% 0.95/1.15 tff(2859,plain,
% 0.95/1.15 ((~(cell46 = cell79)) <=> (~(cell46 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2860,axiom,(~(cell46 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48698')).
% 0.95/1.15 tff(2861,plain,
% 0.95/1.15 (~(cell46 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2860, 2859])).
% 0.95/1.15 tff(2862,plain,
% 0.95/1.15 (~(Y!0 = cell46)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2861, 2858])).
% 0.95/1.15 tff(2863,plain,
% 0.95/1.15 (((~(Y!0 = cell46)) | (~(X!1 = cell47))) | (Y!0 = cell46)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2864,plain,
% 0.95/1.15 ((~(Y!0 = cell46)) | (~(X!1 = cell47))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2863, 2862])).
% 0.95/1.15 tff(2865,plain,
% 0.95/1.15 ((cell47 = Y!0) <=> (Y!0 = cell47)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2866,plain,
% 0.95/1.15 ((cell47 = cell79) <=> (cell47 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2867,plain,
% 0.95/1.15 ((cell47 = cell79) <=> (Y!0 = cell47)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2866, 2865])).
% 0.95/1.15 tff(2868,plain,
% 0.95/1.15 ((~(cell47 = cell79)) <=> (~(Y!0 = cell47))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2867])).
% 0.95/1.15 tff(2869,plain,
% 0.95/1.15 ((~(cell47 = cell79)) <=> (~(cell47 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2870,axiom,(~(cell47 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48648')).
% 0.95/1.15 tff(2871,plain,
% 0.95/1.15 (~(cell47 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2870, 2869])).
% 0.95/1.15 tff(2872,plain,
% 0.95/1.15 (~(Y!0 = cell47)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2871, 2868])).
% 0.95/1.15 tff(2873,plain,
% 0.95/1.15 (((~(Y!0 = cell47)) | (~(X!1 = cell48))) | (Y!0 = cell47)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2874,plain,
% 0.95/1.15 ((~(Y!0 = cell47)) | (~(X!1 = cell48))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2873, 2872])).
% 0.95/1.15 tff(2875,plain,
% 0.95/1.15 ((cell48 = Y!0) <=> (Y!0 = cell48)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2876,plain,
% 0.95/1.15 ((cell48 = cell79) <=> (cell48 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2877,plain,
% 0.95/1.15 ((cell48 = cell79) <=> (Y!0 = cell48)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2876, 2875])).
% 0.95/1.15 tff(2878,plain,
% 0.95/1.15 ((~(cell48 = cell79)) <=> (~(Y!0 = cell48))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2877])).
% 0.95/1.15 tff(2879,plain,
% 0.95/1.15 ((~(cell48 = cell79)) <=> (~(cell48 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2880,axiom,(~(cell48 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48597')).
% 0.95/1.15 tff(2881,plain,
% 0.95/1.15 (~(cell48 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2880, 2879])).
% 0.95/1.15 tff(2882,plain,
% 0.95/1.15 (~(Y!0 = cell48)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2881, 2878])).
% 0.95/1.15 tff(2883,plain,
% 0.95/1.15 (((~(Y!0 = cell48)) | (~(X!1 = cell49))) | (Y!0 = cell48)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2884,plain,
% 0.95/1.15 ((~(Y!0 = cell48)) | (~(X!1 = cell49))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2883, 2882])).
% 0.95/1.15 tff(2885,plain,
% 0.95/1.15 ((cell49 = Y!0) <=> (Y!0 = cell49)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2886,plain,
% 0.95/1.15 ((cell49 = cell79) <=> (cell49 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2887,plain,
% 0.95/1.15 ((cell49 = cell79) <=> (Y!0 = cell49)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2886, 2885])).
% 0.95/1.15 tff(2888,plain,
% 0.95/1.15 ((~(cell49 = cell79)) <=> (~(Y!0 = cell49))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2887])).
% 0.95/1.15 tff(2889,plain,
% 0.95/1.15 ((~(cell49 = cell79)) <=> (~(cell49 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2890,axiom,(~(cell49 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48545')).
% 0.95/1.15 tff(2891,plain,
% 0.95/1.15 (~(cell49 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2890, 2889])).
% 0.95/1.15 tff(2892,plain,
% 0.95/1.15 (~(Y!0 = cell49)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2891, 2888])).
% 0.95/1.15 tff(2893,plain,
% 0.95/1.15 (((~(Y!0 = cell49)) | (~(X!1 = cell50))) | (Y!0 = cell49)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2894,plain,
% 0.95/1.15 ((~(Y!0 = cell49)) | (~(X!1 = cell50))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2893, 2892])).
% 0.95/1.15 tff(2895,plain,
% 0.95/1.15 ((cell51 = Y!0) <=> (Y!0 = cell51)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2896,plain,
% 0.95/1.15 ((cell51 = cell79) <=> (cell51 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2897,plain,
% 0.95/1.15 ((cell51 = cell79) <=> (Y!0 = cell51)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2896, 2895])).
% 0.95/1.15 tff(2898,plain,
% 0.95/1.15 ((~(cell51 = cell79)) <=> (~(Y!0 = cell51))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2897])).
% 0.95/1.15 tff(2899,plain,
% 0.95/1.15 ((~(cell51 = cell79)) <=> (~(cell51 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2900,axiom,(~(cell51 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48383')).
% 0.95/1.15 tff(2901,plain,
% 0.95/1.15 (~(cell51 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2900, 2899])).
% 0.95/1.15 tff(2902,plain,
% 0.95/1.15 (~(Y!0 = cell51)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2901, 2898])).
% 0.95/1.15 tff(2903,plain,
% 0.95/1.15 (((~(Y!0 = cell51)) | (~(X!1 = cell52))) | (Y!0 = cell51)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2904,plain,
% 0.95/1.15 ((~(Y!0 = cell51)) | (~(X!1 = cell52))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2903, 2902])).
% 0.95/1.15 tff(2905,plain,
% 0.95/1.15 ((cell52 = Y!0) <=> (Y!0 = cell52)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2906,plain,
% 0.95/1.15 ((cell52 = cell79) <=> (cell52 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2907,plain,
% 0.95/1.15 ((cell52 = cell79) <=> (Y!0 = cell52)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2906, 2905])).
% 0.95/1.15 tff(2908,plain,
% 0.95/1.15 ((~(cell52 = cell79)) <=> (~(Y!0 = cell52))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2907])).
% 0.95/1.15 tff(2909,plain,
% 0.95/1.15 ((~(cell52 = cell79)) <=> (~(cell52 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2910,axiom,(~(cell52 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48438')).
% 0.95/1.15 tff(2911,plain,
% 0.95/1.15 (~(cell52 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2910, 2909])).
% 0.95/1.15 tff(2912,plain,
% 0.95/1.15 (~(Y!0 = cell52)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2911, 2908])).
% 0.95/1.15 tff(2913,plain,
% 0.95/1.15 (((~(Y!0 = cell52)) | (~(X!1 = cell53))) | (Y!0 = cell52)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2914,plain,
% 0.95/1.15 ((~(Y!0 = cell52)) | (~(X!1 = cell53))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2913, 2912])).
% 0.95/1.15 tff(2915,plain,
% 0.95/1.15 ((cell53 = Y!0) <=> (Y!0 = cell53)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2916,plain,
% 0.95/1.15 ((cell53 = cell79) <=> (cell53 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2917,plain,
% 0.95/1.15 ((cell53 = cell79) <=> (Y!0 = cell53)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2916, 2915])).
% 0.95/1.15 tff(2918,plain,
% 0.95/1.15 ((~(cell53 = cell79)) <=> (~(Y!0 = cell53))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2917])).
% 0.95/1.15 tff(2919,plain,
% 0.95/1.15 ((~(cell53 = cell79)) <=> (~(cell53 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2920,axiom,(~(cell53 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48327')).
% 0.95/1.15 tff(2921,plain,
% 0.95/1.15 (~(cell53 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2920, 2919])).
% 0.95/1.15 tff(2922,plain,
% 0.95/1.15 (~(Y!0 = cell53)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2921, 2918])).
% 0.95/1.15 tff(2923,plain,
% 0.95/1.15 (((~(Y!0 = cell53)) | (~(X!1 = cell54))) | (Y!0 = cell53)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2924,plain,
% 0.95/1.15 ((~(Y!0 = cell53)) | (~(X!1 = cell54))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2923, 2922])).
% 0.95/1.15 tff(2925,plain,
% 0.95/1.15 ((cell54 = Y!0) <=> (Y!0 = cell54)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2926,plain,
% 0.95/1.15 ((cell54 = cell79) <=> (cell54 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2927,plain,
% 0.95/1.15 ((cell54 = cell79) <=> (Y!0 = cell54)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2926, 2925])).
% 0.95/1.15 tff(2928,plain,
% 0.95/1.15 ((~(cell54 = cell79)) <=> (~(Y!0 = cell54))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2927])).
% 0.95/1.15 tff(2929,plain,
% 0.95/1.15 ((~(cell54 = cell79)) <=> (~(cell54 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2930,axiom,(~(cell54 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48270')).
% 0.95/1.15 tff(2931,plain,
% 0.95/1.15 (~(cell54 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2930, 2929])).
% 0.95/1.15 tff(2932,plain,
% 0.95/1.15 (~(Y!0 = cell54)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2931, 2928])).
% 0.95/1.15 tff(2933,plain,
% 0.95/1.15 (((~(Y!0 = cell54)) | (~(X!1 = cell55))) | (Y!0 = cell54)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2934,plain,
% 0.95/1.15 ((~(Y!0 = cell54)) | (~(X!1 = cell55))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2933, 2932])).
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% 0.95/1.15 ((cell55 = Y!0) <=> (Y!0 = cell55)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2936,plain,
% 0.95/1.15 ((cell55 = cell79) <=> (cell55 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2937,plain,
% 0.95/1.15 ((cell55 = cell79) <=> (Y!0 = cell55)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2936, 2935])).
% 0.95/1.15 tff(2938,plain,
% 0.95/1.15 ((~(cell55 = cell79)) <=> (~(Y!0 = cell55))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2937])).
% 0.95/1.15 tff(2939,plain,
% 0.95/1.15 ((~(cell55 = cell79)) <=> (~(cell55 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2940,axiom,(~(cell55 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48212')).
% 0.95/1.15 tff(2941,plain,
% 0.95/1.15 (~(cell55 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2940, 2939])).
% 0.95/1.15 tff(2942,plain,
% 0.95/1.15 (~(Y!0 = cell55)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2941, 2938])).
% 0.95/1.15 tff(2943,plain,
% 0.95/1.15 (((~(Y!0 = cell55)) | (~(X!1 = cell56))) | (Y!0 = cell55)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2944,plain,
% 0.95/1.15 ((~(Y!0 = cell55)) | (~(X!1 = cell56))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2943, 2942])).
% 0.95/1.15 tff(2945,plain,
% 0.95/1.15 ((cell56 = Y!0) <=> (Y!0 = cell56)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2946,plain,
% 0.95/1.15 ((cell56 = cell79) <=> (cell56 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2947,plain,
% 0.95/1.15 ((cell56 = cell79) <=> (Y!0 = cell56)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2946, 2945])).
% 0.95/1.15 tff(2948,plain,
% 0.95/1.15 ((~(cell56 = cell79)) <=> (~(Y!0 = cell56))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2947])).
% 0.95/1.15 tff(2949,plain,
% 0.95/1.15 ((~(cell56 = cell79)) <=> (~(cell56 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2950,axiom,(~(cell56 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48153')).
% 0.95/1.15 tff(2951,plain,
% 0.95/1.15 (~(cell56 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2950, 2949])).
% 0.95/1.15 tff(2952,plain,
% 0.95/1.15 (~(Y!0 = cell56)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2951, 2948])).
% 0.95/1.15 tff(2953,plain,
% 0.95/1.15 (((~(Y!0 = cell56)) | (~(X!1 = cell57))) | (Y!0 = cell56)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2954,plain,
% 0.95/1.15 ((~(Y!0 = cell56)) | (~(X!1 = cell57))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2953, 2952])).
% 0.95/1.15 tff(2955,plain,
% 0.95/1.15 ((cell57 = Y!0) <=> (Y!0 = cell57)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2956,plain,
% 0.95/1.15 ((cell57 = cell79) <=> (cell57 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2957,plain,
% 0.95/1.15 ((cell57 = cell79) <=> (Y!0 = cell57)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2956, 2955])).
% 0.95/1.15 tff(2958,plain,
% 0.95/1.15 ((~(cell57 = cell79)) <=> (~(Y!0 = cell57))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2957])).
% 0.95/1.15 tff(2959,plain,
% 0.95/1.15 ((~(cell57 = cell79)) <=> (~(cell57 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2960,axiom,(~(cell57 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48093')).
% 0.95/1.15 tff(2961,plain,
% 0.95/1.15 (~(cell57 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2960, 2959])).
% 0.95/1.15 tff(2962,plain,
% 0.95/1.15 (~(Y!0 = cell57)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2961, 2958])).
% 0.95/1.15 tff(2963,plain,
% 0.95/1.15 (((~(Y!0 = cell57)) | (~(X!1 = cell58))) | (Y!0 = cell57)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2964,plain,
% 0.95/1.15 ((~(Y!0 = cell57)) | (~(X!1 = cell58))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2963, 2962])).
% 0.95/1.15 tff(2965,plain,
% 0.95/1.15 ((cell58 = Y!0) <=> (Y!0 = cell58)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2966,plain,
% 0.95/1.15 ((cell58 = cell79) <=> (cell58 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2967,plain,
% 0.95/1.15 ((cell58 = cell79) <=> (Y!0 = cell58)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2966, 2965])).
% 0.95/1.15 tff(2968,plain,
% 0.95/1.15 ((~(cell58 = cell79)) <=> (~(Y!0 = cell58))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2967])).
% 0.95/1.15 tff(2969,plain,
% 0.95/1.15 ((~(cell58 = cell79)) <=> (~(cell58 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2970,axiom,(~(cell58 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48032')).
% 0.95/1.15 tff(2971,plain,
% 0.95/1.15 (~(cell58 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2970, 2969])).
% 0.95/1.15 tff(2972,plain,
% 0.95/1.15 (~(Y!0 = cell58)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2971, 2968])).
% 0.95/1.15 tff(2973,plain,
% 0.95/1.15 (((~(Y!0 = cell58)) | (~(X!1 = cell59))) | (Y!0 = cell58)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2974,plain,
% 0.95/1.15 ((~(Y!0 = cell58)) | (~(X!1 = cell59))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2973, 2972])).
% 0.95/1.15 tff(2975,plain,
% 0.95/1.15 ((cell59 = Y!0) <=> (Y!0 = cell59)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2976,plain,
% 0.95/1.15 ((cell59 = cell79) <=> (cell59 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2977,plain,
% 0.95/1.15 ((cell59 = cell79) <=> (Y!0 = cell59)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2976, 2975])).
% 0.95/1.15 tff(2978,plain,
% 0.95/1.15 ((~(cell59 = cell79)) <=> (~(Y!0 = cell59))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2977])).
% 0.95/1.15 tff(2979,plain,
% 0.95/1.15 ((~(cell59 = cell79)) <=> (~(cell59 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2980,axiom,(~(cell59 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47970')).
% 0.95/1.15 tff(2981,plain,
% 0.95/1.15 (~(cell59 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2980, 2979])).
% 0.95/1.15 tff(2982,plain,
% 0.95/1.15 (~(Y!0 = cell59)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2981, 2978])).
% 0.95/1.15 tff(2983,plain,
% 0.95/1.15 (((~(Y!0 = cell59)) | (~(X!1 = cell60))) | (Y!0 = cell59)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
% 0.95/1.15 tff(2984,plain,
% 0.95/1.15 ((~(Y!0 = cell59)) | (~(X!1 = cell60))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2983, 2982])).
% 0.95/1.15 tff(2985,plain,
% 0.95/1.15 ((cell61 = Y!0) <=> (Y!0 = cell61)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
% 0.95/1.15 tff(2986,plain,
% 0.95/1.15 ((cell61 = cell79) <=> (cell61 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2987,plain,
% 0.95/1.15 ((cell61 = cell79) <=> (Y!0 = cell61)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2986, 2985])).
% 0.95/1.15 tff(2988,plain,
% 0.95/1.15 ((~(cell61 = cell79)) <=> (~(Y!0 = cell61))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2987])).
% 0.95/1.15 tff(2989,plain,
% 0.95/1.15 ((~(cell61 = cell79)) <=> (~(cell61 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(2990,axiom,(~(cell61 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47778')).
% 0.95/1.15 tff(2991,plain,
% 0.95/1.15 (~(cell61 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2990, 2989])).
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% 0.95/1.15 (~(Y!0 = cell61)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[2991, 2988])).
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% 0.95/1.15 (((~(Y!0 = cell61)) | (~(X!1 = cell62))) | (Y!0 = cell61)),
% 0.95/1.15 inference(tautology,[status(thm)],[])).
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% 0.95/1.15 ((~(Y!0 = cell61)) | (~(X!1 = cell62))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[2993, 2992])).
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% 0.95/1.15 ((cell62 = Y!0) <=> (Y!0 = cell62)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
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% 0.95/1.15 ((cell62 = cell79) <=> (cell62 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
% 0.95/1.15 tff(2997,plain,
% 0.95/1.15 ((cell62 = cell79) <=> (Y!0 = cell62)),
% 0.95/1.15 inference(transitivity,[status(thm)],[2996, 2995])).
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% 0.95/1.15 ((~(cell62 = cell79)) <=> (~(Y!0 = cell62))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2997])).
% 0.95/1.15 tff(2999,plain,
% 0.95/1.15 ((~(cell62 = cell79)) <=> (~(cell62 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(3000,axiom,(~(cell62 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47843')).
% 0.95/1.15 tff(3001,plain,
% 0.95/1.15 (~(cell62 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[3000, 2999])).
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% 0.95/1.15 (~(Y!0 = cell62)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[3001, 2998])).
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% 0.95/1.15 (((~(Y!0 = cell62)) | (~(X!1 = cell63))) | (Y!0 = cell62)),
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% 0.95/1.15 ((~(Y!0 = cell62)) | (~(X!1 = cell63))),
% 0.95/1.15 inference(unit_resolution,[status(thm)],[3003, 3002])).
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% 0.95/1.15 ((cell63 = Y!0) <=> (Y!0 = cell63)),
% 0.95/1.15 inference(commutativity,[status(thm)],[])).
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% 0.95/1.15 ((cell63 = cell79) <=> (cell63 = Y!0)),
% 0.95/1.15 inference(monotonicity,[status(thm)],[2389])).
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% 0.95/1.15 ((cell63 = cell79) <=> (Y!0 = cell63)),
% 0.95/1.15 inference(transitivity,[status(thm)],[3006, 3005])).
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% 0.95/1.15 ((~(cell63 = cell79)) <=> (~(Y!0 = cell63))),
% 0.95/1.15 inference(monotonicity,[status(thm)],[3007])).
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% 0.95/1.15 ((~(cell63 = cell79)) <=> (~(cell63 = cell79))),
% 0.95/1.15 inference(rewrite,[status(thm)],[])).
% 0.95/1.15 tff(3010,axiom,(~(cell63 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47712')).
% 0.95/1.15 tff(3011,plain,
% 0.95/1.15 (~(cell63 = cell79)),
% 0.95/1.15 inference(modus_ponens,[status(thm)],[3010, 3009])).
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% 0.95/1.15 inference(modus_ponens,[status(thm)],[3011, 3008])).
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% 0.95/1.15 (((~(Y!0 = cell63)) | (~(X!1 = cell64))) | (Y!0 = cell63)),
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% 0.98/1.15 inference(unit_resolution,[status(thm)],[3013, 3012])).
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% 0.98/1.15 ((cell64 = Y!0) <=> (Y!0 = cell64)),
% 0.98/1.15 inference(commutativity,[status(thm)],[])).
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% 0.98/1.15 ((cell64 = cell79) <=> (cell64 = Y!0)),
% 0.98/1.15 inference(monotonicity,[status(thm)],[2389])).
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% 0.98/1.15 ((cell64 = cell79) <=> (Y!0 = cell64)),
% 0.98/1.15 inference(transitivity,[status(thm)],[3016, 3015])).
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% 0.98/1.15 ((~(cell64 = cell79)) <=> (~(Y!0 = cell64))),
% 0.98/1.15 inference(monotonicity,[status(thm)],[3017])).
% 0.98/1.15 tff(3019,plain,
% 0.98/1.15 ((~(cell64 = cell79)) <=> (~(cell64 = cell79))),
% 0.98/1.15 inference(rewrite,[status(thm)],[])).
% 0.98/1.15 tff(3020,axiom,(~(cell64 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47645')).
% 0.98/1.15 tff(3021,plain,
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% 0.98/1.15 inference(modus_ponens,[status(thm)],[3020, 3019])).
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% 0.98/1.15 (((~(Y!0 = cell64)) | (~(X!1 = cell65))) | (Y!0 = cell64)),
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% 0.98/1.15 inference(unit_resolution,[status(thm)],[3023, 3022])).
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% 0.98/1.15 ((cell65 = Y!0) <=> (Y!0 = cell65)),
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% 0.98/1.15 ((cell65 = cell79) <=> (cell65 = Y!0)),
% 0.98/1.15 inference(monotonicity,[status(thm)],[2389])).
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% 0.98/1.15 inference(transitivity,[status(thm)],[3026, 3025])).
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% 0.98/1.15 ((~(cell65 = cell79)) <=> (~(Y!0 = cell65))),
% 0.98/1.15 inference(monotonicity,[status(thm)],[3027])).
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% 0.98/1.15 ((~(cell65 = cell79)) <=> (~(cell65 = cell79))),
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% 0.98/1.15 tff(3030,axiom,(~(cell65 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47577')).
% 0.98/1.15 tff(3031,plain,
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% 0.98/1.15 inference(modus_ponens,[status(thm)],[3030, 3029])).
% 0.98/1.15 tff(3032,plain,
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% 0.98/1.15 (((~(Y!0 = cell65)) | (~(X!1 = cell66))) | (Y!0 = cell65)),
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% 0.98/1.15 inference(monotonicity,[status(thm)],[2389])).
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% 0.98/1.15 inference(transitivity,[status(thm)],[3036, 3035])).
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% 0.98/1.15 ((~(cell66 = cell79)) <=> (~(Y!0 = cell66))),
% 0.98/1.15 inference(monotonicity,[status(thm)],[3037])).
% 0.98/1.15 tff(3039,plain,
% 0.98/1.15 ((~(cell66 = cell79)) <=> (~(cell66 = cell79))),
% 0.98/1.15 inference(rewrite,[status(thm)],[])).
% 0.98/1.15 tff(3040,axiom,(~(cell66 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47508')).
% 0.98/1.15 tff(3041,plain,
% 0.98/1.15 (~(cell66 = cell79)),
% 0.98/1.15 inference(modus_ponens,[status(thm)],[3040, 3039])).
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% 0.98/1.15 inference(modus_ponens,[status(thm)],[3041, 3038])).
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% 0.98/1.15 inference(unit_resolution,[status(thm)],[3043, 3042])).
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% 0.98/1.15 inference(transitivity,[status(thm)],[3046, 3045])).
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% 0.98/1.15 ((~(cell67 = cell79)) <=> (~(cell67 = cell79))),
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% 0.98/1.15 tff(3050,axiom,(~(cell67 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47438')).
% 0.98/1.15 tff(3051,plain,
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% 0.98/1.15 tff(3060,axiom,(~(cell68 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47367')).
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% 0.98/1.15 tff(3070,axiom,(~(cell69 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47295')).
% 0.98/1.15 tff(3071,plain,
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% 0.98/1.15 tff(3080,axiom,(~(cell71 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47073')).
% 0.98/1.15 tff(3081,plain,
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% 0.98/1.15 ((~(cell72 = cell79)) <=> (~(cell72 = cell79))),
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% 0.98/1.15 tff(3090,axiom,(~(cell72 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47148')).
% 0.98/1.15 tff(3091,plain,
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% 0.98/1.15 inference(modus_ponens,[status(thm)],[3090, 3089])).
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% 0.98/1.15 ((cell73 = cell79) <=> (cell73 = Y!0)),
% 0.98/1.15 inference(monotonicity,[status(thm)],[2389])).
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% 0.98/1.16 inference(transitivity,[status(thm)],[3096, 3095])).
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% 0.98/1.16 ((~(cell73 = cell79)) <=> (~(Y!0 = cell73))),
% 0.98/1.16 inference(monotonicity,[status(thm)],[3097])).
% 0.98/1.16 tff(3099,plain,
% 0.98/1.16 ((~(cell73 = cell79)) <=> (~(cell73 = cell79))),
% 0.98/1.16 inference(rewrite,[status(thm)],[])).
% 0.98/1.16 tff(3100,axiom,(~(cell73 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46997')).
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% 0.98/1.16 inference(monotonicity,[status(thm)],[3215])).
% 0.98/1.16 tff(3217,plain,
% 0.98/1.16 ((~(cell86 = cell79)) <=> (~(cell86 = cell79))),
% 0.98/1.16 inference(rewrite,[status(thm)],[])).
% 0.98/1.16 tff(3218,axiom,(~(cell86 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46007')).
% 0.98/1.16 tff(3219,plain,
% 0.98/1.16 (~(cell86 = cell79)),
% 0.98/1.16 inference(modus_ponens,[status(thm)],[3218, 3217])).
% 0.98/1.16 tff(3220,plain,
% 0.98/1.16 (~(Y!0 = cell86)),
% 0.98/1.16 inference(modus_ponens,[status(thm)],[3219, 3216])).
% 0.98/1.16 tff(3221,plain,
% 0.98/1.16 (((~(Y!0 = cell86)) | (~(X!1 = cell87))) | (Y!0 = cell86)),
% 0.98/1.16 inference(tautology,[status(thm)],[])).
% 0.98/1.16 tff(3222,plain,
% 0.98/1.16 ((~(Y!0 = cell86)) | (~(X!1 = cell87))),
% 0.98/1.16 inference(unit_resolution,[status(thm)],[3221, 3220])).
% 0.98/1.16 tff(3223,plain,
% 0.98/1.16 ((cell87 = Y!0) <=> (Y!0 = cell87)),
% 0.98/1.16 inference(commutativity,[status(thm)],[])).
% 0.98/1.16 tff(3224,plain,
% 0.98/1.16 ((cell87 = cell79) <=> (cell87 = Y!0)),
% 0.98/1.16 inference(monotonicity,[status(thm)],[2389])).
% 0.98/1.16 tff(3225,plain,
% 0.98/1.16 ((cell87 = cell79) <=> (Y!0 = cell87)),
% 0.98/1.16 inference(transitivity,[status(thm)],[3224, 3223])).
% 0.98/1.16 tff(3226,plain,
% 0.98/1.16 ((~(cell87 = cell79)) <=> (~(Y!0 = cell87))),
% 0.98/1.16 inference(monotonicity,[status(thm)],[3225])).
% 0.98/1.16 tff(3227,plain,
% 0.98/1.16 ((~(cell87 = cell79)) <=> (~(cell87 = cell79))),
% 0.98/1.16 inference(rewrite,[status(thm)],[])).
% 0.98/1.16 tff(3228,axiom,(~(cell87 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45918')).
% 0.98/1.16 tff(3229,plain,
% 0.98/1.16 (~(cell87 = cell79)),
% 0.98/1.16 inference(modus_ponens,[status(thm)],[3228, 3227])).
% 0.98/1.16 tff(3230,plain,
% 0.98/1.16 (~(Y!0 = cell87)),
% 0.98/1.16 inference(modus_ponens,[status(thm)],[3229, 3226])).
% 0.98/1.16 tff(3231,plain,
% 0.98/1.16 (((~(Y!0 = cell87)) | (~(X!1 = cell88))) | (Y!0 = cell87)),
% 0.98/1.16 inference(tautology,[status(thm)],[])).
% 0.98/1.16 tff(3232,plain,
% 0.98/1.16 ((~(Y!0 = cell87)) | (~(X!1 = cell88))),
% 0.98/1.16 inference(unit_resolution,[status(thm)],[3231, 3230])).
% 0.98/1.16 tff(3233,assumption,(patient(cell89)), introduced(assumption)).
% 0.98/1.16 tff(3234,plain,
% 0.98/1.16 ((~(cell89 = cell2)) <=> (~(cell89 = cell2))),
% 0.98/1.16 inference(rewrite,[status(thm)],[])).
% 0.98/1.16 tff(3235,axiom,(~(cell89 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49892')).
% 0.98/1.16 tff(3236,plain,
% 0.98/1.16 (~(cell89 = cell2)),
% 0.98/1.16 inference(modus_ponens,[status(thm)],[3235, 3234])).
% 0.98/1.16 tff(3237,assumption,(patient(cell22)), introduced(assumption)).
% 0.98/1.16 tff(3238,plain,
% 0.98/1.16 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell89 = cell22) | (~patient(cell22)) | (~patient(cell89)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell89 = cell22) | (~patient(cell22)) | (~patient(cell89)))),
% 0.98/1.16 inference(rewrite,[status(thm)],[])).
% 0.98/1.16 tff(3239,plain,
% 0.98/1.16 (((cell89 = cell22) | (~patient(cell89)) | (~patient(cell22))) <=> ((cell89 = cell22) | (~patient(cell22)) | (~patient(cell89)))),
% 0.98/1.16 inference(rewrite,[status(thm)],[])).
% 0.98/1.16 tff(3240,plain,
% 0.98/1.16 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell89 = cell22) | (~patient(cell89)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell89 = cell22) | (~patient(cell22)) | (~patient(cell89))))),
% 0.98/1.16 inference(monotonicity,[status(thm)],[3239])).
% 0.98/1.16 tff(3241,plain,
% 0.98/1.16 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell89 = cell22) | (~patient(cell89)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell89 = cell22) | (~patient(cell22)) | (~patient(cell89)))),
% 0.98/1.16 inference(transitivity,[status(thm)],[3240, 3238])).
% 0.98/1.16 tff(3242,plain,
% 0.98/1.16 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell89 = cell22) | (~patient(cell89)) | (~patient(cell22)))),
% 0.98/1.16 inference(quant_inst,[status(thm)],[])).
% 0.98/1.16 tff(3243,plain,
% 0.98/1.16 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell89 = cell22) | (~patient(cell22)) | (~patient(cell89))),
% 0.98/1.16 inference(modus_ponens,[status(thm)],[3242, 3241])).
% 0.98/1.16 tff(3244,plain,
% 0.98/1.16 ($false),
% 0.98/1.16 inference(unit_resolution,[status(thm)],[3243, 3237, 23, 2016, 3233])).
% 0.98/1.16 tff(3245,plain,((~patient(cell22)) | (~patient(cell89))), inference(lemma,lemma(discharge,[]))).
% 0.98/1.16 tff(3246,plain,
% 0.98/1.16 (~patient(cell22)),
% 0.98/1.16 inference(unit_resolution,[status(thm)],[3245, 3233])).
% 0.98/1.16 tff(3247,plain,
% 0.98/1.16 ((~(cell89 = cell11)) <=> (~(cell89 = cell11))),
% 0.98/1.16 inference(rewrite,[status(thm)],[])).
% 0.98/1.16 tff(3248,axiom,(~(cell89 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49891')).
% 0.98/1.16 tff(3249,plain,
% 0.98/1.16 (~(cell89 = cell11)),
% 0.98/1.16 inference(modus_ponens,[status(thm)],[3248, 3247])).
% 0.98/1.16 tff(3250,assumption,(patient(cell11)), introduced(assumption)).
% 0.98/1.16 tff(3251,plain,
% 0.98/1.16 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell89 = cell11) | (~patient(cell11)) | (~patient(cell89)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell89 = cell11) | (~patient(cell11)) | (~patient(cell89)))),
% 0.98/1.16 inference(rewrite,[status(thm)],[])).
% 0.98/1.16 tff(3252,plain,
% 0.98/1.16 (((cell89 = cell11) | (~patient(cell89)) | (~patient(cell11))) <=> ((cell89 = cell11) | (~patient(cell11)) | (~patient(cell89)))),
% 0.98/1.16 inference(rewrite,[status(thm)],[])).
% 0.98/1.16 tff(3253,plain,
% 0.98/1.16 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell89 = cell11) | (~patient(cell89)) | (~patient(cell11)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell89 = cell11) | (~patient(cell11)) | (~patient(cell89))))),
% 0.98/1.16 inference(monotonicity,[status(thm)],[3252])).
% 0.98/1.16 tff(3254,plain,
% 0.98/1.16 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell89 = cell11) | (~patient(cell89)) | (~patient(cell11)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell89 = cell11) | (~patient(cell11)) | (~patient(cell89)))),
% 0.98/1.16 inference(transitivity,[status(thm)],[3253, 3251])).
% 0.98/1.16 tff(3255,plain,
% 0.98/1.16 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell89 = cell11) | (~patient(cell89)) | (~patient(cell11)))),
% 0.98/1.16 inference(quant_inst,[status(thm)],[])).
% 0.98/1.16 tff(3256,plain,
% 0.98/1.16 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell89 = cell11) | (~patient(cell11)) | (~patient(cell89))),
% 0.98/1.16 inference(modus_ponens,[status(thm)],[3255, 3254])).
% 0.98/1.16 tff(3257,plain,
% 0.98/1.16 ($false),
% 0.98/1.16 inference(unit_resolution,[status(thm)],[3256, 3250, 23, 3249, 3233])).
% 0.98/1.16 tff(3258,plain,((~patient(cell11)) | (~patient(cell89))), inference(lemma,lemma(discharge,[]))).
% 0.98/1.16 tff(3259,plain,
% 0.98/1.16 (~patient(cell11)),
% 0.98/1.16 inference(unit_resolution,[status(thm)],[3258, 3233])).
% 0.98/1.16 tff(3260,plain,
% 0.98/1.16 ((patient(cell12) | patient(cell11) | patient(cell2) | patient(cell13) | patient(cell22)) <=> (patient(cell12) | patient(cell11) | patient(cell2) | patient(cell13) | patient(cell22))),
% 0.98/1.16 inference(rewrite,[status(thm)],[])).
% 0.98/1.16 tff(3261,plain,
% 0.98/1.16 (((patient(cell12) | patient(cell11) | patient(cell2) | patient(cell13)) | patient(cell22)) <=> (patient(cell12) | patient(cell11) | patient(cell2) | patient(cell13) | patient(cell22))),
% 0.98/1.16 inference(rewrite,[status(thm)],[])).
% 0.98/1.16 tff(3262,plain,
% 0.98/1.16 (((patient(cell12) | patient(cell11) | patient(cell2)) | patient(cell13)) <=> (patient(cell12) | patient(cell11) | patient(cell2) | patient(cell13))),
% 0.98/1.16 inference(rewrite,[status(thm)],[])).
% 0.98/1.16 tff(3263,plain,
% 0.98/1.16 (((patient(cell12) | patient(cell11)) | patient(cell2)) <=> (patient(cell12) | patient(cell11) | patient(cell2))),
% 0.98/1.16 inference(rewrite,[status(thm)],[])).
% 0.98/1.16 tff(3264,plain,
% 0.98/1.16 ((patient(cell12) | patient(cell11)) <=> (patient(cell12) | patient(cell11))),
% 0.98/1.16 inference(rewrite,[status(thm)],[])).
% 0.98/1.16 tff(3265,plain,
% 0.98/1.16 (((patient(cell12) | patient(cell11)) | patient(cell2)) <=> ((patient(cell12) | patient(cell11)) | patient(cell2))),
% 0.98/1.16 inference(monotonicity,[status(thm)],[3264])).
% 0.98/1.16 tff(3266,plain,
% 0.98/1.16 (((patient(cell12) | patient(cell11)) | patient(cell2)) <=> (patient(cell12) | patient(cell11) | patient(cell2))),
% 0.98/1.16 inference(transitivity,[status(thm)],[3265, 3263])).
% 0.98/1.16 tff(3267,plain,
% 0.98/1.16 ((((patient(cell12) | patient(cell11)) | patient(cell2)) | patient(cell13)) <=> ((patient(cell12) | patient(cell11) | patient(cell2)) | patient(cell13))),
% 0.98/1.16 inference(monotonicity,[status(thm)],[3266])).
% 0.98/1.16 tff(3268,plain,
% 0.98/1.16 ((((patient(cell12) | patient(cell11)) | patient(cell2)) | patient(cell13)) <=> (patient(cell12) | patient(cell11) | patient(cell2) | patient(cell13))),
% 0.98/1.16 inference(transitivity,[status(thm)],[3267, 3262])).
% 0.98/1.16 tff(3269,plain,
% 0.98/1.16 (((((patient(cell12) | patient(cell11)) | patient(cell2)) | patient(cell13)) | patient(cell22)) <=> ((patient(cell12) | patient(cell11) | patient(cell2) | patient(cell13)) | patient(cell22))),
% 0.98/1.16 inference(monotonicity,[status(thm)],[3268])).
% 0.98/1.16 tff(3270,plain,
% 0.98/1.16 (((((patient(cell12) | patient(cell11)) | patient(cell2)) | patient(cell13)) | patient(cell22)) <=> (patient(cell12) | patient(cell11) | patient(cell2) | patient(cell13) | patient(cell22))),
% 0.98/1.16 inference(transitivity,[status(thm)],[3269, 3261])).
% 0.98/1.16 tff(3271,axiom,((((patient(cell12) | patient(cell11)) | patient(cell2)) | patient(cell13)) | patient(cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof44975')).
% 0.98/1.16 tff(3272,plain,
% 0.98/1.16 (patient(cell12) | patient(cell11) | patient(cell2) | patient(cell13) | patient(cell22)),
% 0.98/1.16 inference(modus_ponens,[status(thm)],[3271, 3270])).
% 0.98/1.16 tff(3273,plain,
% 0.98/1.16 (patient(cell12) | patient(cell11) | patient(cell2) | patient(cell13) | patient(cell22)),
% 0.98/1.16 inference(modus_ponens,[status(thm)],[3272, 3260])).
% 0.98/1.16 tff(3274,plain,
% 0.98/1.16 (patient(cell12) | patient(cell11) | patient(cell2) | patient(cell13) | patient(cell22)),
% 0.98/1.16 inference(modus_ponens,[status(thm)],[3273, 3260])).
% 0.98/1.16 tff(3275,plain,
% 0.98/1.16 (patient(cell12) | patient(cell11) | patient(cell2) | patient(cell13) | patient(cell22)),
% 0.98/1.16 inference(modus_ponens,[status(thm)],[3274, 3260])).
% 0.98/1.16 tff(3276,plain,
% 0.98/1.16 (patient(cell12) | patient(cell11) | patient(cell2) | patient(cell13) | patient(cell22)),
% 0.98/1.16 inference(modus_ponens,[status(thm)],[3275, 3260])).
% 0.98/1.16 tff(3277,plain,
% 0.98/1.16 (patient(cell2)),
% 0.98/1.16 inference(unit_resolution,[status(thm)],[3276, 3259, 2388, 2387, 3246])).
% 0.98/1.16 tff(3278,plain,
% 0.98/1.16 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell89 = cell2) | (~patient(cell2)) | (~patient(cell89)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell89 = cell2) | (~patient(cell2)) | (~patient(cell89)))),
% 0.98/1.16 inference(rewrite,[status(thm)],[])).
% 0.98/1.16 tff(3279,plain,
% 0.98/1.16 (((cell89 = cell2) | (~patient(cell89)) | (~patient(cell2))) <=> ((cell89 = cell2) | (~patient(cell2)) | (~patient(cell89)))),
% 0.98/1.16 inference(rewrite,[status(thm)],[])).
% 0.98/1.16 tff(3280,plain,
% 0.98/1.16 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell89 = cell2) | (~patient(cell89)) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell89 = cell2) | (~patient(cell2)) | (~patient(cell89))))),
% 0.98/1.16 inference(monotonicity,[status(thm)],[3279])).
% 0.98/1.16 tff(3281,plain,
% 0.98/1.16 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell89 = cell2) | (~patient(cell89)) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell89 = cell2) | (~patient(cell2)) | (~patient(cell89)))),
% 0.98/1.16 inference(transitivity,[status(thm)],[3280, 3278])).
% 0.98/1.16 tff(3282,plain,
% 0.98/1.16 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell89 = cell2) | (~patient(cell89)) | (~patient(cell2)))),
% 0.98/1.16 inference(quant_inst,[status(thm)],[])).
% 0.98/1.16 tff(3283,plain,
% 0.98/1.16 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell89 = cell2) | (~patient(cell2)) | (~patient(cell89))),
% 0.98/1.16 inference(modus_ponens,[status(thm)],[3282, 3281])).
% 0.98/1.16 tff(3284,plain,
% 0.98/1.16 ($false),
% 0.98/1.16 inference(unit_resolution,[status(thm)],[3283, 3277, 23, 3236, 3233])).
% 0.98/1.16 tff(3285,plain,((~patient(cell89)) | patient(cell13) | patient(cell12)), inference(lemma,lemma(discharge,[]))).
% 0.98/1.16 tff(3286,plain,
% 0.98/1.16 (~patient(cell89)),
% 0.98/1.16 inference(unit_resolution,[status(thm)],[3285, 2387, 2388])).
% 0.98/1.16 tff(3287,assumption,(X!1 = cell89), introduced(assumption)).
% 0.98/1.16 tff(3288,plain,
% 0.98/1.16 (cell89 = X!1),
% 0.98/1.16 inference(symmetry,[status(thm)],[3287])).
% 0.98/1.16 tff(3289,plain,
% 0.98/1.16 (patient(cell89) <=> patient(X!1)),
% 0.98/1.16 inference(monotonicity,[status(thm)],[3288])).
% 0.98/1.16 tff(3290,plain,
% 0.98/1.16 (patient(X!1) <=> patient(cell89)),
% 0.98/1.16 inference(symmetry,[status(thm)],[3289])).
% 0.98/1.16 tff(3291,plain,
% 0.98/1.16 (patient(cell89)),
% 0.98/1.16 inference(modus_ponens,[status(thm)],[10, 3290])).
% 0.98/1.16 tff(3292,assumption,(~patient(cell89)), introduced(assumption)).
% 0.98/1.16 tff(3293,plain,
% 0.98/1.16 ($false),
% 0.98/1.16 inference(unit_resolution,[status(thm)],[3292, 3291])).
% 0.98/1.16 tff(3294,plain,(patient(cell89) | (~(X!1 = cell89))), inference(lemma,lemma(discharge,[]))).
% 0.98/1.16 tff(3295,plain,
% 0.98/1.16 (~(X!1 = cell89)),
% 0.98/1.16 inference(unit_resolution,[status(thm)],[3294, 3286])).
% 0.98/1.16 tff(3296,plain,
% 0.98/1.16 ((~(Y!0 = cell88)) | (~(X!1 = cell89))),
% 0.98/1.16 inference(unit_resolution,[status(thm)],[1341, 3295])).
% 0.98/1.16 tff(3297,plain,
% 0.98/1.16 ((cell89 = Y!0) <=> (Y!0 = cell89)),
% 0.98/1.16 inference(commutativity,[status(thm)],[])).
% 0.98/1.16 tff(3298,plain,
% 0.98/1.16 ((cell89 = cell79) <=> (cell89 = Y!0)),
% 0.98/1.16 inference(monotonicity,[status(thm)],[2389])).
% 0.98/1.16 tff(3299,plain,
% 0.98/1.16 ((cell89 = cell79) <=> (Y!0 = cell89)),
% 0.98/1.16 inference(transitivity,[status(thm)],[3298, 3297])).
% 0.98/1.16 tff(3300,plain,
% 0.98/1.16 ((~(cell89 = cell79)) <=> (~(Y!0 = cell89))),
% 0.98/1.16 inference(monotonicity,[status(thm)],[3299])).
% 0.98/1.16 tff(3301,plain,
% 0.98/1.16 ((~(cell89 = cell79)) <=> (~(cell89 = cell79))),
% 0.98/1.16 inference(rewrite,[status(thm)],[])).
% 0.98/1.16 tff(3302,axiom,(~(cell89 = cell79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49887')).
% 0.98/1.16 tff(3303,plain,
% 0.98/1.16 (~(cell89 = cell79)),
% 0.98/1.16 inference(modus_ponens,[status(thm)],[3302, 3301])).
% 0.98/1.16 tff(3304,plain,
% 0.98/1.16 (~(Y!0 = cell89)),
% 0.98/1.16 inference(modus_ponens,[status(thm)],[3303, 3300])).
% 0.98/1.16 tff(3305,plain,
% 0.98/1.16 (((~(Y!0 = cell89)) | (~(X!1 = cell90))) | (Y!0 = cell89)),
% 0.98/1.16 inference(tautology,[status(thm)],[])).
% 0.98/1.16 tff(3306,plain,
% 0.98/1.16 ((~(Y!0 = cell89)) | (~(X!1 = cell90))),
% 0.98/1.16 inference(unit_resolution,[status(thm)],[3305, 3304])).
% 0.98/1.16 tff(3307,plain,
% 0.98/1.16 ((~(Y!0 = cell79)) | (~(X!1 = cell89))),
% 0.98/1.16 inference(unit_resolution,[status(thm)],[1345, 3295])).
% 0.98/1.16 tff(3308,plain,
% 0.98/1.16 (((~(Y!0 = cell2)) | (~(X!1 = cell12))) | (Y!0 = cell2)),
% 0.98/1.16 inference(tautology,[status(thm)],[])).
% 0.98/1.16 tff(3309,plain,
% 0.98/1.16 ((~(Y!0 = cell2)) | (~(X!1 = cell12))),
% 0.98/1.16 inference(unit_resolution,[status(thm)],[3308, 2494])).
% 0.98/1.16 tff(3310,plain,
% 0.98/1.16 ((~(Y!0 = cell3)) | (~(X!1 = cell13))),
% 0.98/1.16 inference(unit_resolution,[status(thm)],[1995, 2500])).
% 0.98/1.16 tff(3311,plain,
% 0.98/1.16 (((~(Y!0 = cell4)) | (~(X!1 = cell14))) | (Y!0 = cell4)),
% 0.98/1.16 inference(tautology,[status(thm)],[])).
% 0.98/1.16 tff(3312,plain,
% 0.98/1.16 ((~(Y!0 = cell4)) | (~(X!1 = cell14))),
% 0.98/1.16 inference(unit_resolution,[status(thm)],[3311, 2510])).
% 0.98/1.16 tff(3313,plain,
% 0.98/1.16 (((~(Y!0 = cell5)) | (~(X!1 = cell15))) | (Y!0 = cell5)),
% 0.98/1.16 inference(tautology,[status(thm)],[])).
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% 0.98/1.18 tff(3847,plain,
% 0.98/1.18 ((~(X!1 = cell58)) | (~(Y!0 = cell68))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3846, 3062])).
% 0.98/1.18 tff(3848,plain,
% 0.98/1.18 (((~(X!1 = cell59)) | (~(Y!0 = cell69))) | (Y!0 = cell69)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3849,plain,
% 0.98/1.18 ((~(X!1 = cell59)) | (~(Y!0 = cell69))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3848, 3072])).
% 0.98/1.18 tff(3850,plain,
% 0.98/1.18 (((~(X!1 = cell60)) | (~(Y!0 = cell70))) | (Y!0 = cell70)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3851,plain,
% 0.98/1.18 ((~(X!1 = cell60)) | (~(Y!0 = cell70))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3850, 3497])).
% 0.98/1.18 tff(3852,plain,
% 0.98/1.18 (((~(X!1 = cell61)) | (~(Y!0 = cell71))) | (Y!0 = cell71)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3853,plain,
% 0.98/1.18 ((~(X!1 = cell61)) | (~(Y!0 = cell71))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3852, 3082])).
% 0.98/1.18 tff(3854,plain,
% 0.98/1.18 (((~(X!1 = cell62)) | (~(Y!0 = cell72))) | (Y!0 = cell72)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3855,plain,
% 0.98/1.18 ((~(X!1 = cell62)) | (~(Y!0 = cell72))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3854, 3092])).
% 0.98/1.18 tff(3856,plain,
% 0.98/1.18 (((~(X!1 = cell63)) | (~(Y!0 = cell73))) | (Y!0 = cell73)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3857,plain,
% 0.98/1.18 ((~(X!1 = cell63)) | (~(Y!0 = cell73))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3856, 3102])).
% 0.98/1.18 tff(3858,plain,
% 0.98/1.18 (((~(X!1 = cell64)) | (~(Y!0 = cell74))) | (Y!0 = cell74)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3859,plain,
% 0.98/1.18 ((~(X!1 = cell64)) | (~(Y!0 = cell74))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3858, 3112])).
% 0.98/1.18 tff(3860,plain,
% 0.98/1.18 (((~(X!1 = cell65)) | (~(Y!0 = cell75))) | (Y!0 = cell75)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3861,plain,
% 0.98/1.18 ((~(X!1 = cell65)) | (~(Y!0 = cell75))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3860, 3122])).
% 0.98/1.18 tff(3862,plain,
% 0.98/1.18 (((~(X!1 = cell66)) | (~(Y!0 = cell76))) | (Y!0 = cell76)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3863,plain,
% 0.98/1.18 ((~(X!1 = cell66)) | (~(Y!0 = cell76))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3862, 3132])).
% 0.98/1.18 tff(3864,plain,
% 0.98/1.18 (((~(X!1 = cell67)) | (~(Y!0 = cell77))) | (Y!0 = cell77)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3865,plain,
% 0.98/1.18 ((~(X!1 = cell67)) | (~(Y!0 = cell77))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3864, 3142])).
% 0.98/1.18 tff(3866,plain,
% 0.98/1.18 (((~(X!1 = cell68)) | (~(Y!0 = cell78))) | (Y!0 = cell78)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3867,plain,
% 0.98/1.18 ((~(X!1 = cell68)) | (~(Y!0 = cell78))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3866, 3152])).
% 0.98/1.18 tff(3868,plain,
% 0.98/1.18 ((~(X!1 = cell11)) | (~(Y!0 = cell12))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[2119, 2573])).
% 0.98/1.18 tff(3869,plain,
% 0.98/1.18 (((~(X!1 = cell70)) | (~(Y!0 = cell80))) | (Y!0 = cell80)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3870,plain,
% 0.98/1.18 ((~(X!1 = cell70)) | (~(Y!0 = cell80))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3869, 3525])).
% 0.98/1.18 tff(3871,plain,
% 0.98/1.18 (((~(X!1 = cell71)) | (~(Y!0 = cell81))) | (Y!0 = cell81)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3872,plain,
% 0.98/1.18 ((~(X!1 = cell71)) | (~(Y!0 = cell81))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3871, 3170])).
% 0.98/1.18 tff(3873,plain,
% 0.98/1.18 (((~(X!1 = cell72)) | (~(Y!0 = cell82))) | (Y!0 = cell82)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3874,plain,
% 0.98/1.18 ((~(X!1 = cell72)) | (~(Y!0 = cell82))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3873, 3180])).
% 0.98/1.18 tff(3875,plain,
% 0.98/1.18 (((~(X!1 = cell73)) | (~(Y!0 = cell83))) | (Y!0 = cell83)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3876,plain,
% 0.98/1.18 ((~(X!1 = cell73)) | (~(Y!0 = cell83))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3875, 3190])).
% 0.98/1.18 tff(3877,plain,
% 0.98/1.18 (((~(X!1 = cell74)) | (~(Y!0 = cell84))) | (Y!0 = cell84)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3878,plain,
% 0.98/1.18 ((~(X!1 = cell74)) | (~(Y!0 = cell84))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3877, 3200])).
% 0.98/1.18 tff(3879,plain,
% 0.98/1.18 (((~(X!1 = cell75)) | (~(Y!0 = cell85))) | (Y!0 = cell85)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3880,plain,
% 0.98/1.18 ((~(X!1 = cell75)) | (~(Y!0 = cell85))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3879, 3210])).
% 0.98/1.18 tff(3881,plain,
% 0.98/1.18 (((~(X!1 = cell76)) | (~(Y!0 = cell86))) | (Y!0 = cell86)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3882,plain,
% 0.98/1.18 ((~(X!1 = cell76)) | (~(Y!0 = cell86))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3881, 3220])).
% 0.98/1.18 tff(3883,plain,
% 0.98/1.18 (((~(X!1 = cell77)) | (~(Y!0 = cell87))) | (Y!0 = cell87)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3884,plain,
% 0.98/1.18 ((~(X!1 = cell77)) | (~(Y!0 = cell87))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3883, 3230])).
% 0.98/1.18 tff(3885,plain,
% 0.98/1.18 (((~(X!1 = cell78)) | (~(Y!0 = cell88))) | (Y!0 = cell88)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3886,plain,
% 0.98/1.18 ((~(X!1 = cell78)) | (~(Y!0 = cell88))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3885, 2484])).
% 0.98/1.18 tff(3887,plain,
% 0.98/1.18 (((~(X!1 = cell79)) | (~(Y!0 = cell89))) | (Y!0 = cell89)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3888,plain,
% 0.98/1.18 ((~(X!1 = cell79)) | (~(Y!0 = cell89))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3887, 3304])).
% 0.98/1.18 tff(3889,plain,
% 0.98/1.18 (((~(X!1 = cell98)) | (~(Y!0 = cell99))) | (Y!0 = cell99)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3890,plain,
% 0.98/1.18 ((~(X!1 = cell98)) | (~(Y!0 = cell99))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3889, 3160])).
% 0.98/1.18 tff(3891,plain,
% 0.98/1.18 (((~(X!1 = cell81)) | (~(Y!0 = cell91))) | (Y!0 = cell91)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3892,plain,
% 0.98/1.18 ((~(X!1 = cell81)) | (~(Y!0 = cell91))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3891, 2405])).
% 0.98/1.18 tff(3893,plain,
% 0.98/1.18 (((~(X!1 = cell82)) | (~(Y!0 = cell92))) | (Y!0 = cell92)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3894,plain,
% 0.98/1.18 ((~(X!1 = cell82)) | (~(Y!0 = cell92))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3893, 2415])).
% 0.98/1.18 tff(3895,plain,
% 0.98/1.18 (((~(X!1 = cell83)) | (~(Y!0 = cell93))) | (Y!0 = cell93)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3896,plain,
% 0.98/1.18 ((~(X!1 = cell83)) | (~(Y!0 = cell93))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3895, 2425])).
% 0.98/1.18 tff(3897,plain,
% 0.98/1.18 (((~(X!1 = cell84)) | (~(Y!0 = cell94))) | (Y!0 = cell94)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3898,plain,
% 0.98/1.18 ((~(X!1 = cell84)) | (~(Y!0 = cell94))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3897, 2435])).
% 0.98/1.18 tff(3899,plain,
% 0.98/1.18 (((~(X!1 = cell85)) | (~(Y!0 = cell95))) | (Y!0 = cell95)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3900,plain,
% 0.98/1.18 ((~(X!1 = cell85)) | (~(Y!0 = cell95))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3899, 2445])).
% 0.98/1.18 tff(3901,plain,
% 0.98/1.18 (((~(X!1 = cell80)) | (~(Y!0 = cell90))) | (Y!0 = cell90)),
% 0.98/1.18 inference(tautology,[status(thm)],[])).
% 0.98/1.18 tff(3902,plain,
% 0.98/1.18 ((~(X!1 = cell80)) | (~(Y!0 = cell90))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[3901, 3547])).
% 0.98/1.18 tff(3903,plain,
% 0.98/1.18 ((~(X!1 = cell11)) | (~(Y!0 = cell21))),
% 0.98/1.18 inference(unit_resolution,[status(thm)],[2117, 2642])).
% 0.98/1.18 tff(3904,assumption,(~patient(cell11)), introduced(assumption)).
% 0.98/1.18 tff(3905,assumption,(patient(cell78)), introduced(assumption)).
% 0.98/1.18 tff(3906,plain,
% 0.98/1.18 ((~(cell78 = cell22)) <=> (~(cell78 = cell22))),
% 0.98/1.18 inference(rewrite,[status(thm)],[])).
% 0.98/1.18 tff(3907,axiom,(~(cell78 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46609')).
% 0.98/1.18 tff(3908,plain,
% 0.98/1.18 (~(cell78 = cell22)),
% 0.98/1.18 inference(modus_ponens,[status(thm)],[3907, 3906])).
% 0.98/1.18 tff(3909,plain,
% 0.98/1.18 ((~(cell78 = cell2)) <=> (~(cell78 = cell2))),
% 0.98/1.18 inference(rewrite,[status(thm)],[])).
% 0.98/1.18 tff(3910,axiom,(~(cell78 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46607')).
% 0.98/1.18 tff(3911,plain,
% 0.98/1.18 (~(cell78 = cell2)),
% 0.98/1.18 inference(modus_ponens,[status(thm)],[3910, 3909])).
% 0.98/1.18 tff(3912,assumption,(patient(cell2)), introduced(assumption)).
% 0.98/1.18 tff(3913,plain,
% 0.98/1.18 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell78 = cell2) | (~patient(cell2)) | (~patient(cell78)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell78 = cell2) | (~patient(cell2)) | (~patient(cell78)))),
% 0.98/1.18 inference(rewrite,[status(thm)],[])).
% 0.98/1.18 tff(3914,plain,
% 0.98/1.18 (((cell78 = cell2) | (~patient(cell78)) | (~patient(cell2))) <=> ((cell78 = cell2) | (~patient(cell2)) | (~patient(cell78)))),
% 0.98/1.18 inference(rewrite,[status(thm)],[])).
% 0.98/1.18 tff(3915,plain,
% 0.98/1.18 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell78 = cell2) | (~patient(cell78)) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell78 = cell2) | (~patient(cell2)) | (~patient(cell78))))),
% 0.98/1.18 inference(monotonicity,[status(thm)],[3914])).
% 0.98/1.18 tff(3916,plain,
% 0.98/1.18 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell78 = cell2) | (~patient(cell78)) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell78 = cell2) | (~patient(cell2)) | (~patient(cell78)))),
% 0.98/1.18 inference(transitivity,[status(thm)],[3915, 3913])).
% 0.98/1.18 tff(3917,plain,
% 0.98/1.18 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell78 = cell2) | (~patient(cell78)) | (~patient(cell2)))),
% 0.98/1.19 inference(quant_inst,[status(thm)],[])).
% 0.98/1.19 tff(3918,plain,
% 0.98/1.19 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell78 = cell2) | (~patient(cell2)) | (~patient(cell78))),
% 0.98/1.19 inference(modus_ponens,[status(thm)],[3917, 3916])).
% 0.98/1.19 tff(3919,plain,
% 0.98/1.19 ($false),
% 0.98/1.19 inference(unit_resolution,[status(thm)],[3918, 3912, 23, 3911, 3905])).
% 0.98/1.19 tff(3920,plain,((~patient(cell2)) | (~patient(cell78))), inference(lemma,lemma(discharge,[]))).
% 0.98/1.19 tff(3921,plain,
% 0.98/1.19 (~patient(cell2)),
% 0.98/1.19 inference(unit_resolution,[status(thm)],[3920, 3905])).
% 0.98/1.19 tff(3922,plain,
% 0.98/1.19 (patient(cell22)),
% 0.98/1.19 inference(unit_resolution,[status(thm)],[3276, 3921, 2388, 2387, 3904])).
% 0.98/1.19 tff(3923,plain,
% 0.98/1.19 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell78 = cell22) | (~patient(cell22)) | (~patient(cell78)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell78 = cell22) | (~patient(cell22)) | (~patient(cell78)))),
% 0.98/1.19 inference(rewrite,[status(thm)],[])).
% 0.98/1.19 tff(3924,plain,
% 0.98/1.19 (((cell78 = cell22) | (~patient(cell78)) | (~patient(cell22))) <=> ((cell78 = cell22) | (~patient(cell22)) | (~patient(cell78)))),
% 0.98/1.19 inference(rewrite,[status(thm)],[])).
% 0.98/1.19 tff(3925,plain,
% 0.98/1.19 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell78 = cell22) | (~patient(cell78)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell78 = cell22) | (~patient(cell22)) | (~patient(cell78))))),
% 0.98/1.19 inference(monotonicity,[status(thm)],[3924])).
% 0.98/1.19 tff(3926,plain,
% 0.98/1.19 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell78 = cell22) | (~patient(cell78)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell78 = cell22) | (~patient(cell22)) | (~patient(cell78)))),
% 0.98/1.19 inference(transitivity,[status(thm)],[3925, 3923])).
% 0.98/1.19 tff(3927,plain,
% 0.98/1.19 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell78 = cell22) | (~patient(cell78)) | (~patient(cell22)))),
% 0.98/1.19 inference(quant_inst,[status(thm)],[])).
% 0.98/1.19 tff(3928,plain,
% 0.98/1.19 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell78 = cell22) | (~patient(cell22)) | (~patient(cell78))),
% 0.98/1.19 inference(modus_ponens,[status(thm)],[3927, 3926])).
% 0.98/1.19 tff(3929,plain,
% 0.98/1.19 ($false),
% 0.98/1.19 inference(unit_resolution,[status(thm)],[3928, 3922, 23, 3908, 3905])).
% 0.98/1.19 tff(3930,plain,((~patient(cell78)) | patient(cell13) | patient(cell12) | patient(cell11)), inference(lemma,lemma(discharge,[]))).
% 0.98/1.19 tff(3931,plain,
% 0.98/1.19 (~patient(cell78)),
% 0.98/1.19 inference(unit_resolution,[status(thm)],[3930, 3904, 2387, 2388])).
% 0.98/1.19 tff(3932,assumption,(X!1 = cell78), introduced(assumption)).
% 0.98/1.19 tff(3933,plain,
% 0.98/1.19 (cell78 = X!1),
% 0.98/1.19 inference(symmetry,[status(thm)],[3932])).
% 0.98/1.19 tff(3934,plain,
% 0.98/1.19 (patient(cell78) <=> patient(X!1)),
% 0.98/1.19 inference(monotonicity,[status(thm)],[3933])).
% 0.98/1.19 tff(3935,plain,
% 0.98/1.19 (patient(X!1) <=> patient(cell78)),
% 0.98/1.19 inference(symmetry,[status(thm)],[3934])).
% 0.98/1.19 tff(3936,plain,
% 0.98/1.19 (patient(cell78)),
% 0.98/1.19 inference(modus_ponens,[status(thm)],[10, 3935])).
% 0.98/1.19 tff(3937,assumption,(~patient(cell78)), introduced(assumption)).
% 0.98/1.19 tff(3938,plain,
% 0.98/1.19 ($false),
% 0.98/1.19 inference(unit_resolution,[status(thm)],[3937, 3936])).
% 0.98/1.19 tff(3939,plain,(patient(cell78) | (~(X!1 = cell78))), inference(lemma,lemma(discharge,[]))).
% 0.98/1.19 tff(3940,plain,
% 0.98/1.19 (~(X!1 = cell78)),
% 0.98/1.19 inference(unit_resolution,[status(thm)],[3939, 3931])).
% 0.98/1.19 tff(3941,plain,
% 0.98/1.19 ((~(X!1 = cell78)) | (~(Y!0 = cell79))),
% 0.98/1.19 inference(unit_resolution,[status(thm)],[849, 3940])).
% 0.98/1.19 tff(3942,plain,
% 0.98/1.19 ((~(X!1 = cell89)) | (~(Y!0 = cell90))),
% 0.98/1.19 inference(unit_resolution,[status(thm)],[933, 3295])).
% 0.98/1.19 tff(3943,plain,
% 0.98/1.19 ((~(X!1 = cell89)) | (~(Y!0 = cell99))),
% 0.98/1.19 inference(unit_resolution,[status(thm)],[993, 3295])).
% 0.98/1.19 tff(3944,assumption,(patient(cell69)), introduced(assumption)).
% 0.98/1.19 tff(3945,plain,
% 0.98/1.19 ((~(cell69 = cell22)) <=> (~(cell69 = cell22))),
% 0.98/1.19 inference(rewrite,[status(thm)],[])).
% 0.98/1.19 tff(3946,axiom,(~(cell69 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47302')).
% 0.98/1.19 tff(3947,plain,
% 0.98/1.19 (~(cell69 = cell22)),
% 0.98/1.19 inference(modus_ponens,[status(thm)],[3946, 3945])).
% 0.98/1.19 tff(3948,plain,
% 0.98/1.19 ((~(cell69 = cell2)) <=> (~(cell69 = cell2))),
% 0.98/1.19 inference(rewrite,[status(thm)],[])).
% 0.98/1.19 tff(3949,axiom,(~(cell69 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47300')).
% 0.98/1.19 tff(3950,plain,
% 0.98/1.19 (~(cell69 = cell2)),
% 0.98/1.19 inference(modus_ponens,[status(thm)],[3949, 3948])).
% 0.98/1.19 tff(3951,plain,
% 0.98/1.19 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell69 = cell2) | (~patient(cell2)) | (~patient(cell69)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell69 = cell2) | (~patient(cell2)) | (~patient(cell69)))),
% 0.98/1.19 inference(rewrite,[status(thm)],[])).
% 0.98/1.19 tff(3952,plain,
% 0.98/1.19 (((cell69 = cell2) | (~patient(cell69)) | (~patient(cell2))) <=> ((cell69 = cell2) | (~patient(cell2)) | (~patient(cell69)))),
% 0.98/1.19 inference(rewrite,[status(thm)],[])).
% 0.98/1.19 tff(3953,plain,
% 0.98/1.19 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell69 = cell2) | (~patient(cell69)) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell69 = cell2) | (~patient(cell2)) | (~patient(cell69))))),
% 0.98/1.19 inference(monotonicity,[status(thm)],[3952])).
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% 0.98/1.19 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell69 = cell2) | (~patient(cell69)) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell69 = cell2) | (~patient(cell2)) | (~patient(cell69)))),
% 0.98/1.19 inference(transitivity,[status(thm)],[3953, 3951])).
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% 0.98/1.19 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell69 = cell2) | (~patient(cell69)) | (~patient(cell2)))),
% 0.98/1.19 inference(quant_inst,[status(thm)],[])).
% 0.98/1.19 tff(3956,plain,
% 0.98/1.19 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell69 = cell2) | (~patient(cell2)) | (~patient(cell69))),
% 0.98/1.19 inference(modus_ponens,[status(thm)],[3955, 3954])).
% 0.98/1.19 tff(3957,plain,
% 0.98/1.19 ($false),
% 0.98/1.19 inference(unit_resolution,[status(thm)],[3956, 3912, 23, 3950, 3944])).
% 0.98/1.19 tff(3958,plain,((~patient(cell2)) | (~patient(cell69))), inference(lemma,lemma(discharge,[]))).
% 0.98/1.19 tff(3959,plain,
% 0.98/1.19 (~patient(cell2)),
% 0.98/1.19 inference(unit_resolution,[status(thm)],[3958, 3944])).
% 0.98/1.19 tff(3960,plain,
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% 0.98/1.19 inference(unit_resolution,[status(thm)],[3276, 3959, 2388, 2387, 3904])).
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% 0.98/1.19 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell69 = cell22) | (~patient(cell22)) | (~patient(cell69)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell69 = cell22) | (~patient(cell22)) | (~patient(cell69)))),
% 0.98/1.19 inference(rewrite,[status(thm)],[])).
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% 0.98/1.19 (((cell69 = cell22) | (~patient(cell69)) | (~patient(cell22))) <=> ((cell69 = cell22) | (~patient(cell22)) | (~patient(cell69)))),
% 0.98/1.19 inference(rewrite,[status(thm)],[])).
% 0.98/1.19 tff(3963,plain,
% 0.98/1.19 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell69 = cell22) | (~patient(cell69)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell69 = cell22) | (~patient(cell22)) | (~patient(cell69))))),
% 0.98/1.19 inference(monotonicity,[status(thm)],[3962])).
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% 0.98/1.19 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell69 = cell22) | (~patient(cell69)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell69 = cell22) | (~patient(cell22)) | (~patient(cell69)))),
% 0.98/1.19 inference(transitivity,[status(thm)],[3963, 3961])).
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% 0.98/1.19 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell69 = cell22) | (~patient(cell69)) | (~patient(cell22)))),
% 0.98/1.19 inference(quant_inst,[status(thm)],[])).
% 0.98/1.19 tff(3966,plain,
% 0.98/1.19 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell69 = cell22) | (~patient(cell22)) | (~patient(cell69))),
% 0.98/1.19 inference(modus_ponens,[status(thm)],[3965, 3964])).
% 0.98/1.19 tff(3967,plain,
% 0.98/1.19 ($false),
% 0.98/1.19 inference(unit_resolution,[status(thm)],[3966, 3960, 23, 3947, 3944])).
% 0.98/1.19 tff(3968,plain,((~patient(cell69)) | patient(cell13) | patient(cell12) | patient(cell11)), inference(lemma,lemma(discharge,[]))).
% 0.98/1.19 tff(3969,plain,
% 0.98/1.19 (~patient(cell69)),
% 0.98/1.19 inference(unit_resolution,[status(thm)],[3968, 3904, 2387, 2388])).
% 0.98/1.19 tff(3970,assumption,(X!1 = cell69), introduced(assumption)).
% 0.98/1.19 tff(3971,plain,
% 0.98/1.19 (cell69 = X!1),
% 0.98/1.19 inference(symmetry,[status(thm)],[3970])).
% 0.98/1.19 tff(3972,plain,
% 0.98/1.19 (patient(cell69) <=> patient(X!1)),
% 0.98/1.19 inference(monotonicity,[status(thm)],[3971])).
% 0.98/1.19 tff(3973,plain,
% 0.98/1.19 (patient(X!1) <=> patient(cell69)),
% 0.98/1.19 inference(symmetry,[status(thm)],[3972])).
% 0.98/1.19 tff(3974,plain,
% 0.98/1.19 (patient(cell69)),
% 0.98/1.19 inference(modus_ponens,[status(thm)],[10, 3973])).
% 0.98/1.19 tff(3975,assumption,(~patient(cell69)), introduced(assumption)).
% 0.98/1.19 tff(3976,plain,
% 0.98/1.19 ($false),
% 0.98/1.19 inference(unit_resolution,[status(thm)],[3975, 3974])).
% 0.98/1.19 tff(3977,plain,(patient(cell69) | (~(X!1 = cell69))), inference(lemma,lemma(discharge,[]))).
% 0.98/1.19 tff(3978,plain,
% 0.98/1.19 (~(X!1 = cell69)),
% 0.98/1.19 inference(unit_resolution,[status(thm)],[3977, 3969])).
% 0.98/1.19 tff(3979,plain,
% 0.98/1.19 ((~(X!1 = cell69)) | (~(Y!0 = cell79))),
% 0.98/1.19 inference(unit_resolution,[status(thm)],[1205, 3978])).
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% 0.98/1.19 inference(unit_resolution,[status(thm)],[2121, 3979, 3943, 1712, 1521, 1788, 1794, 1793, 1792, 1791, 1790, 1722, 1699, 1787, 1786, 1785, 1784, 1783, 1782, 1781, 1780, 1779, 1778, 1777, 1776, 1775, 1774, 1773, 1772, 1771, 1770, 1769, 1768, 1767, 1766, 1765, 1764, 1763, 1762, 1761, 1760, 1759, 1758, 1757, 1756, 1755, 1754, 1753, 1752, 1751, 1750, 1749, 1748, 1747, 1746, 1745, 1744, 1743, 1742, 1741, 1740, 1739, 1738, 1737, 1736, 1735, 1734, 1733, 1732, 1731, 1730, 1729, 1728, 1727, 1726, 1725, 1724, 1987, 2107, 1721, 1720, 1719, 1718, 1717, 1716, 1715, 1714, 1713, 1795, 1711, 1710, 1709, 1708, 1707, 1706, 1705, 1704, 1703, 1702, 3942, 1700, 1789, 1698, 1697, 1696, 1695, 1694, 1693, 1692, 3941, 1690, 1689, 1688, 1687, 1686, 1685, 1684, 1683, 1682, 1681, 1680, 1679, 1678, 1677, 1676, 1675, 1674, 1673, 1672, 1671, 1670, 1669, 1668, 1667, 1666, 1665, 1664, 1663, 1662, 1661, 1660, 1659, 1658, 1657, 1656, 1655, 1654, 1653, 1652, 1651, 1650, 1649, 1648, 1647, 1646, 1645, 1644, 1643, 1642, 1641, 1640, 2106, 1639, 1638, 1637, 1636, 1635, 1634, 2105, 1530, 1529, 1528, 1527, 1526, 1525, 1524, 1523, 1522, 1796, 1520, 1519])).
% 0.98/1.19 tff(3981,plain,
% 0.98/1.19 (~edge(X!1, Y!0)),
% 0.98/1.19 inference(unit_resolution,[status(thm)],[2125, 3980, 2104])).
% 0.98/1.19 tff(3982,plain,
% 0.98/1.19 (edge(Y!0, X!1)),
% 0.98/1.19 inference(unit_resolution,[status(thm)],[2141, 3981])).
% 0.98/1.19 tff(3983,plain,
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% 0.98/1.20 inference(unit_resolution,[status(thm)],[2153, 3982])).
% 0.98/1.20 tff(3984,plain,
% 0.98/1.20 (~((~(Y!0 = cell79)) | (~(X!1 = cell80)))),
% 0.98/1.20 inference(unit_resolution,[status(thm)],[2155, 3983, 1808, 1809, 1972, 1971, 1970, 1969, 1968, 1967, 1966, 1889, 1964, 1963, 1962, 1961, 1960, 1959, 1958, 1957, 1956, 1955, 1954, 1953, 1952, 1951, 1950, 1949, 1948, 1947, 1946, 1945, 1944, 1943, 1942, 1941, 1940, 1939, 1938, 1937, 1936, 1935, 1934, 1933, 1932, 1931, 1930, 1929, 1928, 1927, 1926, 1925, 1924, 1923, 1922, 1921, 1920, 1919, 1918, 1917, 1916, 1915, 1914, 1913, 1912, 1911, 1910, 1909, 2087, 1908, 1907, 1906, 1905, 1904, 1903, 1902, 1901, 1900, 1899, 1898, 1897, 1896, 1895, 1894, 1893, 1892, 1891, 2086, 1890, 3307, 1887, 3296, 1885, 1884, 1883, 1882, 1881, 1880, 1879, 1878, 1877, 1876, 1875, 1874, 1873, 1872, 1871, 1870, 1869, 1868, 1867, 1866, 1865, 1864, 1863, 1862, 1861, 1860, 1859, 1858, 1857, 1856, 1855, 1854, 1853, 1852, 1851, 1850, 1849, 1848, 1847, 1846, 1845, 1844, 1843, 1842, 1841, 1840, 1839, 1838, 1837, 1836, 1835, 1834, 1833, 1832, 1831, 1830, 1829, 1828, 1827, 2085, 1826, 1825, 1824, 1823, 1822, 1821, 1820, 1819, 2084, 1818, 1817, 1816, 1815, 1814, 1813, 1812, 1811, 1810, 1973, 1965, 1807, 1806, 1805, 1804, 1803, 1802, 1801, 1800, 1799])).
% 0.98/1.20 tff(3985,plain,
% 0.98/1.20 (X!1 = cell80),
% 0.98/1.20 inference(unit_resolution,[status(thm)],[1517, 3984])).
% 0.98/1.20 tff(3986,assumption,(X!1 = cell80), introduced(assumption)).
% 0.98/1.20 tff(3987,plain,
% 0.98/1.20 (cell80 = X!1),
% 0.98/1.20 inference(symmetry,[status(thm)],[3986])).
% 0.98/1.20 tff(3988,plain,
% 0.98/1.20 (patient(cell80) <=> patient(X!1)),
% 0.98/1.20 inference(monotonicity,[status(thm)],[3987])).
% 0.98/1.20 tff(3989,plain,
% 0.98/1.20 (patient(X!1) <=> patient(cell80)),
% 0.98/1.20 inference(symmetry,[status(thm)],[3988])).
% 0.98/1.20 tff(3990,plain,
% 0.98/1.20 (patient(cell80)),
% 0.98/1.20 inference(modus_ponens,[status(thm)],[10, 3989])).
% 0.98/1.20 tff(3991,assumption,(~patient(cell80)), introduced(assumption)).
% 0.98/1.20 tff(3992,plain,
% 0.98/1.20 ($false),
% 0.98/1.20 inference(unit_resolution,[status(thm)],[3991, 3990])).
% 0.98/1.20 tff(3993,plain,(patient(cell80) | (~(X!1 = cell80))), inference(lemma,lemma(discharge,[]))).
% 0.98/1.20 tff(3994,plain,
% 0.98/1.20 (patient(cell80)),
% 0.98/1.20 inference(unit_resolution,[status(thm)],[3993, 3985])).
% 0.98/1.20 tff(3995,plain,
% 0.98/1.20 ((~(cell80 = cell2)) <=> (~(cell80 = cell2))),
% 0.98/1.20 inference(rewrite,[status(thm)],[])).
% 0.98/1.20 tff(3996,axiom,(~(cell80 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46525')).
% 0.98/1.20 tff(3997,plain,
% 0.98/1.20 (~(cell80 = cell2)),
% 0.98/1.20 inference(modus_ponens,[status(thm)],[3996, 3995])).
% 0.98/1.20 tff(3998,assumption,(patient(cell80)), introduced(assumption)).
% 0.98/1.20 tff(3999,plain,
% 0.98/1.20 ((~(cell80 = cell22)) <=> (~(cell80 = cell22))),
% 0.98/1.20 inference(rewrite,[status(thm)],[])).
% 0.98/1.20 tff(4000,axiom,(~(cell80 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46527')).
% 0.98/1.20 tff(4001,plain,
% 0.98/1.20 (~(cell80 = cell22)),
% 0.98/1.20 inference(modus_ponens,[status(thm)],[4000, 3999])).
% 0.98/1.20 tff(4002,plain,
% 0.98/1.20 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell80 = cell22) | (~patient(cell22)) | (~patient(cell80)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell80 = cell22) | (~patient(cell22)) | (~patient(cell80)))),
% 0.98/1.20 inference(rewrite,[status(thm)],[])).
% 0.98/1.20 tff(4003,plain,
% 0.98/1.20 (((cell80 = cell22) | (~patient(cell80)) | (~patient(cell22))) <=> ((cell80 = cell22) | (~patient(cell22)) | (~patient(cell80)))),
% 0.98/1.20 inference(rewrite,[status(thm)],[])).
% 0.98/1.20 tff(4004,plain,
% 0.98/1.20 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell80 = cell22) | (~patient(cell80)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell80 = cell22) | (~patient(cell22)) | (~patient(cell80))))),
% 0.98/1.20 inference(monotonicity,[status(thm)],[4003])).
% 0.98/1.20 tff(4005,plain,
% 0.98/1.20 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell80 = cell22) | (~patient(cell80)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell80 = cell22) | (~patient(cell22)) | (~patient(cell80)))),
% 0.98/1.20 inference(transitivity,[status(thm)],[4004, 4002])).
% 0.98/1.20 tff(4006,plain,
% 0.98/1.20 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell80 = cell22) | (~patient(cell80)) | (~patient(cell22)))),
% 0.98/1.20 inference(quant_inst,[status(thm)],[])).
% 0.98/1.20 tff(4007,plain,
% 0.98/1.20 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell80 = cell22) | (~patient(cell22)) | (~patient(cell80))),
% 0.98/1.20 inference(modus_ponens,[status(thm)],[4006, 4005])).
% 0.98/1.20 tff(4008,plain,
% 0.98/1.20 ($false),
% 0.98/1.20 inference(unit_resolution,[status(thm)],[4007, 3237, 23, 4001, 3998])).
% 0.98/1.20 tff(4009,plain,((~patient(cell22)) | (~patient(cell80))), inference(lemma,lemma(discharge,[]))).
% 0.98/1.20 tff(4010,plain,
% 0.98/1.20 (~patient(cell22)),
% 0.98/1.20 inference(unit_resolution,[status(thm)],[4009, 3994])).
% 0.98/1.20 tff(4011,plain,
% 0.98/1.20 (patient(cell2)),
% 0.98/1.20 inference(unit_resolution,[status(thm)],[3276, 4010, 2388, 2387, 3904])).
% 0.98/1.20 tff(4012,plain,
% 0.98/1.20 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell80 = cell2) | (~patient(cell2)) | (~patient(cell80)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell80 = cell2) | (~patient(cell2)) | (~patient(cell80)))),
% 0.98/1.20 inference(rewrite,[status(thm)],[])).
% 0.98/1.20 tff(4013,plain,
% 0.98/1.20 (((cell80 = cell2) | (~patient(cell80)) | (~patient(cell2))) <=> ((cell80 = cell2) | (~patient(cell2)) | (~patient(cell80)))),
% 0.98/1.20 inference(rewrite,[status(thm)],[])).
% 0.98/1.20 tff(4014,plain,
% 0.98/1.20 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell80 = cell2) | (~patient(cell80)) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell80 = cell2) | (~patient(cell2)) | (~patient(cell80))))),
% 0.98/1.20 inference(monotonicity,[status(thm)],[4013])).
% 0.98/1.20 tff(4015,plain,
% 0.98/1.20 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell80 = cell2) | (~patient(cell80)) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell80 = cell2) | (~patient(cell2)) | (~patient(cell80)))),
% 0.98/1.20 inference(transitivity,[status(thm)],[4014, 4012])).
% 0.98/1.20 tff(4016,plain,
% 0.98/1.20 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell80 = cell2) | (~patient(cell80)) | (~patient(cell2)))),
% 0.98/1.20 inference(quant_inst,[status(thm)],[])).
% 0.98/1.20 tff(4017,plain,
% 0.98/1.20 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell80 = cell2) | (~patient(cell2)) | (~patient(cell80))),
% 0.98/1.20 inference(modus_ponens,[status(thm)],[4016, 4015])).
% 0.98/1.20 tff(4018,plain,
% 0.98/1.20 ($false),
% 0.98/1.20 inference(unit_resolution,[status(thm)],[4017, 4011, 23, 3997, 3994])).
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% 0.98/1.21 inference(monotonicity,[status(thm)],[4022])).
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% 0.98/1.21 inference(transitivity,[status(thm)],[4023, 4021])).
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% 0.98/1.21 inference(quant_inst,[status(thm)],[])).
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% 0.98/1.21 inference(modus_ponens,[status(thm)],[4025, 4024])).
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% 0.98/1.21 inference(unit_resolution,[status(thm)],[4026, 4020, 23, 10])).
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% 0.98/1.21 ((cell80 = cell11) <=> (cell80 = X!1)),
% 0.98/1.21 inference(monotonicity,[status(thm)],[4027])).
% 0.98/1.21 tff(4029,plain,
% 0.98/1.21 ((cell80 = cell11) <=> (X!1 = cell80)),
% 0.98/1.21 inference(transitivity,[status(thm)],[4028, 45])).
% 0.98/1.21 tff(4030,plain,
% 0.98/1.21 ((~(cell80 = cell11)) <=> (~(X!1 = cell80))),
% 0.98/1.21 inference(monotonicity,[status(thm)],[4029])).
% 0.98/1.21 tff(4031,plain,
% 0.98/1.21 ((~(cell80 = cell11)) <=> (~(cell80 = cell11))),
% 0.98/1.21 inference(rewrite,[status(thm)],[])).
% 0.98/1.21 tff(4032,axiom,(~(cell80 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46524')).
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% 0.98/1.21 inference(modus_ponens,[status(thm)],[4032, 4031])).
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% 0.98/1.21 inference(modus_ponens,[status(thm)],[4033, 4030])).
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% 0.98/1.21 inference(unit_resolution,[status(thm)],[1517, 4034])).
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% 0.98/1.22 inference(unit_resolution,[status(thm)],[2155, 4035, 3549, 3541, 3539, 3537, 3535, 3533, 3531, 3529, 3527, 3517, 3515, 3513, 3511, 3509, 3507, 3505, 3503, 3501, 3499, 3489, 3487, 3485, 3483, 3481, 3479, 3477, 3475, 3473, 3471, 3461, 3459, 3457, 3455, 3453, 3451, 3449, 3447, 3445, 3443, 3433, 3431, 3429, 3427, 3425, 3423, 3421, 3419, 3417, 3415, 3405, 3403, 3401, 3399, 3397, 3395, 3393, 3391, 3389, 3387, 3377, 3375, 3373, 3371, 3369, 3367, 3365, 3363, 3362, 3360, 3350, 3348, 3346, 3344, 3342, 3340, 3338, 3336, 3334, 3332, 3322, 3320, 3318, 3316, 3314, 3312, 3310, 3309, 3307, 3306, 3296, 3232, 3222, 3212, 3202, 3192, 3182, 3172, 3162, 3154, 3144, 3134, 3124, 3114, 3104, 3094, 3084, 3074, 3064, 3054, 3044, 3034, 3024, 3014, 3004, 2994, 2984, 2974, 2964, 2954, 2944, 2934, 2924, 2914, 2904, 2894, 2884, 2874, 2864, 2854, 2844, 2834, 2824, 2814, 2804, 2794, 2784, 2774, 2764, 2754, 2744, 2734, 2724, 2714, 2704, 2694, 2684, 2674, 2664, 2654, 2648, 2644, 2635, 2625, 2615, 2605, 2595, 2585, 2579, 2574, 2570, 2562, 2552, 2542, 2532, 2522, 2512, 2502, 2496, 2488, 2486, 2476, 2466, 2456, 2447, 2437, 2427, 2417, 2407, 2397])).
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% 0.98/1.22 ((cell78 = cell11) <=> (cell78 = X!1)),
% 0.98/1.22 inference(monotonicity,[status(thm)],[4027])).
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% 0.98/1.22 ((cell78 = cell11) <=> (X!1 = cell78)),
% 0.98/1.22 inference(transitivity,[status(thm)],[4038, 841])).
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% 0.98/1.22 ((~(cell78 = cell11)) <=> (~(X!1 = cell78))),
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% 0.98/1.22 tff(4042,axiom,(~(cell78 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46606')).
% 0.98/1.22 tff(4043,plain,
% 0.98/1.22 (~(cell78 = cell11)),
% 0.98/1.22 inference(modus_ponens,[status(thm)],[4042, 4041])).
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% 0.98/1.22 (~(X!1 = cell78)),
% 0.98/1.22 inference(modus_ponens,[status(thm)],[4043, 4040])).
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% 0.98/1.22 inference(unit_resolution,[status(thm)],[849, 4044])).
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% 0.98/1.22 ((cell69 = cell11) <=> (cell69 = X!1)),
% 0.98/1.22 inference(monotonicity,[status(thm)],[4027])).
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% 0.98/1.22 ((cell69 = cell11) <=> (X!1 = cell69)),
% 0.98/1.22 inference(transitivity,[status(thm)],[4046, 761])).
% 0.98/1.22 tff(4048,plain,
% 0.98/1.22 ((~(cell69 = cell11)) <=> (~(X!1 = cell69))),
% 0.98/1.22 inference(monotonicity,[status(thm)],[4047])).
% 0.98/1.22 tff(4049,plain,
% 0.98/1.22 ((~(cell69 = cell11)) <=> (~(cell69 = cell11))),
% 0.98/1.22 inference(rewrite,[status(thm)],[])).
% 0.98/1.22 tff(4050,axiom,(~(cell69 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47299')).
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% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4210,axiom,(~(cell6 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49834')).
% 1.06/1.23 tff(4211,plain,
% 1.06/1.23 (~(cell6 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4210, 4209])).
% 1.06/1.23 tff(4212,plain,
% 1.06/1.23 (~(Y!0 = cell6)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4211, 4208])).
% 1.06/1.23 tff(4213,plain,
% 1.06/1.23 ((~(Y!0 = cell6)) | (~(X!1 = cell7))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2531, 4212])).
% 1.06/1.23 tff(4214,plain,
% 1.06/1.23 ((cell7 = cell99) <=> (cell7 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4215,plain,
% 1.06/1.23 ((cell7 = cell99) <=> (Y!0 = cell7)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4214, 2533])).
% 1.06/1.23 tff(4216,plain,
% 1.06/1.23 ((~(cell7 = cell99)) <=> (~(Y!0 = cell7))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4215])).
% 1.06/1.23 tff(4217,plain,
% 1.06/1.23 ((~(cell7 = cell99)) <=> (~(cell7 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4218,axiom,(~(cell7 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49820')).
% 1.06/1.23 tff(4219,plain,
% 1.06/1.23 (~(cell7 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4218, 4217])).
% 1.06/1.23 tff(4220,plain,
% 1.06/1.23 (~(Y!0 = cell7)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4219, 4216])).
% 1.06/1.23 tff(4221,plain,
% 1.06/1.23 ((~(Y!0 = cell7)) | (~(X!1 = cell8))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2541, 4220])).
% 1.06/1.23 tff(4222,plain,
% 1.06/1.23 ((cell8 = cell99) <=> (cell8 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4223,plain,
% 1.06/1.23 ((cell8 = cell99) <=> (Y!0 = cell8)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4222, 2543])).
% 1.06/1.23 tff(4224,plain,
% 1.06/1.23 ((~(cell8 = cell99)) <=> (~(Y!0 = cell8))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4223])).
% 1.06/1.23 tff(4225,plain,
% 1.06/1.23 ((~(cell8 = cell99)) <=> (~(cell8 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4226,axiom,(~(cell8 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49805')).
% 1.06/1.23 tff(4227,plain,
% 1.06/1.23 (~(cell8 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4226, 4225])).
% 1.06/1.23 tff(4228,plain,
% 1.06/1.23 (~(Y!0 = cell8)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4227, 4224])).
% 1.06/1.23 tff(4229,plain,
% 1.06/1.23 ((~(Y!0 = cell8)) | (~(X!1 = cell9))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2551, 4228])).
% 1.06/1.23 tff(4230,plain,
% 1.06/1.23 ((cell9 = cell99) <=> (cell9 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4231,plain,
% 1.06/1.23 ((cell9 = cell99) <=> (Y!0 = cell9)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4230, 2553])).
% 1.06/1.23 tff(4232,plain,
% 1.06/1.23 ((~(cell9 = cell99)) <=> (~(Y!0 = cell9))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4231])).
% 1.06/1.23 tff(4233,plain,
% 1.06/1.23 ((~(cell9 = cell99)) <=> (~(cell9 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4234,axiom,(~(cell9 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49789')).
% 1.06/1.23 tff(4235,plain,
% 1.06/1.23 (~(cell9 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4234, 4233])).
% 1.06/1.23 tff(4236,plain,
% 1.06/1.23 (~(Y!0 = cell9)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4235, 4232])).
% 1.06/1.23 tff(4237,plain,
% 1.06/1.23 ((~(Y!0 = cell9)) | (~(X!1 = cell10))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2561, 4236])).
% 1.06/1.23 tff(4238,plain,
% 1.06/1.23 ((cell99 = cell11) <=> (Y!0 = cell11)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4239,plain,
% 1.06/1.23 ((~(cell99 = cell11)) <=> (~(Y!0 = cell11))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4238])).
% 1.06/1.23 tff(4240,plain,
% 1.06/1.23 ((~(cell99 = cell11)) <=> (~(cell99 = cell11))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4241,axiom,(~(cell99 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49917')).
% 1.06/1.23 tff(4242,plain,
% 1.06/1.23 (~(cell99 = cell11)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4241, 4240])).
% 1.06/1.23 tff(4243,plain,
% 1.06/1.23 (~(Y!0 = cell11)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4242, 4239])).
% 1.06/1.23 tff(4244,plain,
% 1.06/1.23 ((~(Y!0 = cell11)) | (~(X!1 = cell12))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2569, 4243])).
% 1.06/1.23 tff(4245,plain,
% 1.06/1.23 (~oxygen(cell12)),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2202, 2174, 2187, 1531])).
% 1.06/1.23 tff(4246,plain,
% 1.06/1.23 (~(Y!0 = cell12)),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2217, 4245])).
% 1.06/1.23 tff(4247,plain,
% 1.06/1.23 ((~(Y!0 = cell12)) | (~(X!1 = cell13))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2003, 4246])).
% 1.06/1.23 tff(4248,plain,
% 1.06/1.23 ((cell99 = cell13) <=> (Y!0 = cell13)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4249,plain,
% 1.06/1.23 ((~(cell99 = cell13)) <=> (~(Y!0 = cell13))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4248])).
% 1.06/1.23 tff(4250,plain,
% 1.06/1.23 (~(Y!0 = cell13)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[231, 4249])).
% 1.06/1.23 tff(4251,plain,
% 1.06/1.23 ((~(Y!0 = cell13)) | (~(X!1 = cell14))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2578, 4250])).
% 1.06/1.23 tff(4252,plain,
% 1.06/1.23 ((cell14 = cell99) <=> (cell14 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4253,plain,
% 1.06/1.23 ((cell14 = cell99) <=> (Y!0 = cell14)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4252, 1798])).
% 1.06/1.23 tff(4254,plain,
% 1.06/1.23 ((~(cell14 = cell99)) <=> (~(Y!0 = cell14))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4253])).
% 1.06/1.23 tff(4255,plain,
% 1.06/1.23 (~(Y!0 = cell14)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[2226, 4254])).
% 1.06/1.23 tff(4256,plain,
% 1.06/1.23 ((~(Y!0 = cell14)) | (~(X!1 = cell15))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2584, 4255])).
% 1.06/1.23 tff(4257,plain,
% 1.06/1.23 ((cell15 = cell99) <=> (cell15 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4258,plain,
% 1.06/1.23 ((cell15 = cell99) <=> (Y!0 = cell15)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4257, 2586])).
% 1.06/1.23 tff(4259,plain,
% 1.06/1.23 ((~(cell15 = cell99)) <=> (~(Y!0 = cell15))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4258])).
% 1.06/1.23 tff(4260,plain,
% 1.06/1.23 ((~(cell15 = cell99)) <=> (~(cell15 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4261,axiom,(~(cell15 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49735')).
% 1.06/1.23 tff(4262,plain,
% 1.06/1.23 (~(cell15 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4261, 4260])).
% 1.06/1.23 tff(4263,plain,
% 1.06/1.23 (~(Y!0 = cell15)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4262, 4259])).
% 1.06/1.23 tff(4264,plain,
% 1.06/1.23 ((~(Y!0 = cell15)) | (~(X!1 = cell16))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2594, 4263])).
% 1.06/1.23 tff(4265,plain,
% 1.06/1.23 ((cell16 = cell99) <=> (cell16 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4266,plain,
% 1.06/1.23 ((cell16 = cell99) <=> (Y!0 = cell16)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4265, 2596])).
% 1.06/1.23 tff(4267,plain,
% 1.06/1.23 ((~(cell16 = cell99)) <=> (~(Y!0 = cell16))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4266])).
% 1.06/1.23 tff(4268,plain,
% 1.06/1.23 ((~(cell16 = cell99)) <=> (~(cell16 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4269,axiom,(~(cell16 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49715')).
% 1.06/1.23 tff(4270,plain,
% 1.06/1.23 (~(cell16 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4269, 4268])).
% 1.06/1.23 tff(4271,plain,
% 1.06/1.23 (~(Y!0 = cell16)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4270, 4267])).
% 1.06/1.23 tff(4272,plain,
% 1.06/1.23 ((~(Y!0 = cell16)) | (~(X!1 = cell17))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2604, 4271])).
% 1.06/1.23 tff(4273,plain,
% 1.06/1.23 ((cell17 = cell99) <=> (cell17 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4274,plain,
% 1.06/1.23 ((cell17 = cell99) <=> (Y!0 = cell17)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4273, 2606])).
% 1.06/1.23 tff(4275,plain,
% 1.06/1.23 ((~(cell17 = cell99)) <=> (~(Y!0 = cell17))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4274])).
% 1.06/1.23 tff(4276,plain,
% 1.06/1.23 ((~(cell17 = cell99)) <=> (~(cell17 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4277,axiom,(~(cell17 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49694')).
% 1.06/1.23 tff(4278,plain,
% 1.06/1.23 (~(cell17 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4277, 4276])).
% 1.06/1.23 tff(4279,plain,
% 1.06/1.23 (~(Y!0 = cell17)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4278, 4275])).
% 1.06/1.23 tff(4280,plain,
% 1.06/1.23 ((~(Y!0 = cell17)) | (~(X!1 = cell18))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2614, 4279])).
% 1.06/1.23 tff(4281,plain,
% 1.06/1.23 ((cell18 = cell99) <=> (cell18 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4282,plain,
% 1.06/1.23 ((cell18 = cell99) <=> (Y!0 = cell18)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4281, 2616])).
% 1.06/1.23 tff(4283,plain,
% 1.06/1.23 ((~(cell18 = cell99)) <=> (~(Y!0 = cell18))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4282])).
% 1.06/1.23 tff(4284,plain,
% 1.06/1.23 ((~(cell18 = cell99)) <=> (~(cell18 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4285,axiom,(~(cell18 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49672')).
% 1.06/1.23 tff(4286,plain,
% 1.06/1.23 (~(cell18 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4285, 4284])).
% 1.06/1.23 tff(4287,plain,
% 1.06/1.23 (~(Y!0 = cell18)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4286, 4283])).
% 1.06/1.23 tff(4288,plain,
% 1.06/1.23 ((~(Y!0 = cell18)) | (~(X!1 = cell19))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2624, 4287])).
% 1.06/1.23 tff(4289,plain,
% 1.06/1.23 ((cell19 = cell99) <=> (cell19 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4290,plain,
% 1.06/1.23 ((cell19 = cell99) <=> (Y!0 = cell19)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4289, 2626])).
% 1.06/1.23 tff(4291,plain,
% 1.06/1.23 ((~(cell19 = cell99)) <=> (~(Y!0 = cell19))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4290])).
% 1.06/1.23 tff(4292,plain,
% 1.06/1.23 ((~(cell19 = cell99)) <=> (~(cell19 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4293,axiom,(~(cell19 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49649')).
% 1.06/1.23 tff(4294,plain,
% 1.06/1.23 (~(cell19 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4293, 4292])).
% 1.06/1.23 tff(4295,plain,
% 1.06/1.23 (~(Y!0 = cell19)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4294, 4291])).
% 1.06/1.23 tff(4296,plain,
% 1.06/1.23 ((~(Y!0 = cell19)) | (~(X!1 = cell20))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2634, 4295])).
% 1.06/1.23 tff(4297,assumption,(oxygen(cell21)), introduced(assumption)).
% 1.06/1.23 tff(4298,plain,
% 1.06/1.23 ((~(cell21 = cell88)) <=> (~(cell21 = cell88))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4299,axiom,(~(cell21 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49597')).
% 1.06/1.23 tff(4300,plain,
% 1.06/1.23 (~(cell21 = cell88)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4299, 4298])).
% 1.06/1.23 tff(4301,plain,
% 1.06/1.23 ((~(cell21 = cell99)) <=> (~(cell21 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4302,axiom,(~(cell21 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49600')).
% 1.06/1.23 tff(4303,plain,
% 1.06/1.23 (~(cell21 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4302, 4301])).
% 1.06/1.23 tff(4304,plain,
% 1.06/1.23 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell21 = cell99) | (~oxygen(cell99)) | (~oxygen(cell21)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell21 = cell99) | (~oxygen(cell99)) | (~oxygen(cell21)))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4305,plain,
% 1.06/1.23 (((cell21 = cell99) | (~oxygen(cell21)) | (~oxygen(cell99))) <=> ((cell21 = cell99) | (~oxygen(cell99)) | (~oxygen(cell21)))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4306,plain,
% 1.06/1.23 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell21 = cell99) | (~oxygen(cell21)) | (~oxygen(cell99)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell21 = cell99) | (~oxygen(cell99)) | (~oxygen(cell21))))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4305])).
% 1.06/1.23 tff(4307,plain,
% 1.06/1.23 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell21 = cell99) | (~oxygen(cell21)) | (~oxygen(cell99)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell21 = cell99) | (~oxygen(cell99)) | (~oxygen(cell21)))),
% 1.06/1.23 inference(transitivity,[status(thm)],[4306, 4304])).
% 1.06/1.23 tff(4308,plain,
% 1.06/1.23 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell21 = cell99) | (~oxygen(cell21)) | (~oxygen(cell99)))),
% 1.06/1.23 inference(quant_inst,[status(thm)],[])).
% 1.06/1.23 tff(4309,plain,
% 1.06/1.23 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell21 = cell99) | (~oxygen(cell99)) | (~oxygen(cell21))),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4308, 4307])).
% 1.06/1.23 tff(4310,plain,
% 1.06/1.23 ($false),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[4309, 1562, 1557, 4303, 4297])).
% 1.06/1.23 tff(4311,plain,((~oxygen(cell99)) | (~oxygen(cell21))), inference(lemma,lemma(discharge,[]))).
% 1.06/1.23 tff(4312,plain,
% 1.06/1.23 (~oxygen(cell99)),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[4311, 4297])).
% 1.06/1.23 tff(4313,plain,
% 1.06/1.23 (oxygen(cell90)),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[1621, 4312, 1531, 2187, 1976])).
% 1.06/1.23 tff(4314,plain,
% 1.06/1.23 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell21 = cell90) | (~oxygen(cell21)) | (~oxygen(cell90)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell21 = cell90) | (~oxygen(cell21)) | (~oxygen(cell90)))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4315,plain,
% 1.06/1.23 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell21 = cell90) | (~oxygen(cell21)) | (~oxygen(cell90)))),
% 1.06/1.23 inference(quant_inst,[status(thm)],[])).
% 1.06/1.23 tff(4316,plain,
% 1.06/1.23 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell21 = cell90) | (~oxygen(cell21)) | (~oxygen(cell90))),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4315, 4314])).
% 1.06/1.23 tff(4317,plain,
% 1.06/1.23 ($false),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[4316, 4313, 1557, 2115, 4297])).
% 1.06/1.23 tff(4318,plain,((~oxygen(cell21)) | oxygen(cell79) | oxygen(cell89) | oxygen(cell88)), inference(lemma,lemma(discharge,[]))).
% 1.06/1.23 tff(4319,plain,
% 1.06/1.23 (oxygen(cell88)),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[4318, 4297, 2187, 1531])).
% 1.06/1.23 tff(4320,plain,
% 1.06/1.23 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell21 = cell88) | (~oxygen(cell88)) | (~oxygen(cell21)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell21 = cell88) | (~oxygen(cell88)) | (~oxygen(cell21)))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4321,plain,
% 1.06/1.23 (((cell21 = cell88) | (~oxygen(cell21)) | (~oxygen(cell88))) <=> ((cell21 = cell88) | (~oxygen(cell88)) | (~oxygen(cell21)))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4322,plain,
% 1.06/1.23 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell21 = cell88) | (~oxygen(cell21)) | (~oxygen(cell88)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell21 = cell88) | (~oxygen(cell88)) | (~oxygen(cell21))))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4321])).
% 1.06/1.23 tff(4323,plain,
% 1.06/1.23 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell21 = cell88) | (~oxygen(cell21)) | (~oxygen(cell88)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell21 = cell88) | (~oxygen(cell88)) | (~oxygen(cell21)))),
% 1.06/1.23 inference(transitivity,[status(thm)],[4322, 4320])).
% 1.06/1.23 tff(4324,plain,
% 1.06/1.23 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell21 = cell88) | (~oxygen(cell21)) | (~oxygen(cell88)))),
% 1.06/1.23 inference(quant_inst,[status(thm)],[])).
% 1.06/1.23 tff(4325,plain,
% 1.06/1.23 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell21 = cell88) | (~oxygen(cell88)) | (~oxygen(cell21))),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4324, 4323])).
% 1.06/1.23 tff(4326,plain,
% 1.06/1.23 ($false),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[4325, 4319, 1557, 4300, 4297])).
% 1.06/1.23 tff(4327,plain,((~oxygen(cell21)) | oxygen(cell89) | oxygen(cell79)), inference(lemma,lemma(discharge,[]))).
% 1.06/1.23 tff(4328,plain,
% 1.06/1.23 (~oxygen(cell21)),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[4327, 1531, 2187])).
% 1.06/1.23 tff(4329,assumption,(Y!0 = cell21), introduced(assumption)).
% 1.06/1.23 tff(4330,plain,
% 1.06/1.23 (cell21 = Y!0),
% 1.06/1.23 inference(symmetry,[status(thm)],[4329])).
% 1.06/1.23 tff(4331,plain,
% 1.06/1.23 (oxygen(cell21) <=> oxygen(Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4330])).
% 1.06/1.23 tff(4332,plain,
% 1.06/1.23 (oxygen(Y!0) <=> oxygen(cell21)),
% 1.06/1.23 inference(symmetry,[status(thm)],[4331])).
% 1.06/1.23 tff(4333,plain,
% 1.06/1.23 (oxygen(cell21)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[1536, 4332])).
% 1.06/1.23 tff(4334,assumption,(~oxygen(cell21)), introduced(assumption)).
% 1.06/1.23 tff(4335,plain,
% 1.06/1.23 ($false),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[4334, 4333])).
% 1.06/1.23 tff(4336,plain,(oxygen(cell21) | (~(Y!0 = cell21))), inference(lemma,lemma(discharge,[]))).
% 1.06/1.23 tff(4337,plain,
% 1.06/1.23 (~(Y!0 = cell21)),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[4336, 4328])).
% 1.06/1.23 tff(4338,plain,
% 1.06/1.23 ((~(Y!0 = cell21)) | (~(X!1 = cell22))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2643, 4337])).
% 1.06/1.23 tff(4339,plain,
% 1.06/1.23 ((cell99 = cell22) <=> (Y!0 = cell22)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4340,plain,
% 1.06/1.23 ((~(cell99 = cell22)) <=> (~(Y!0 = cell22))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4339])).
% 1.06/1.23 tff(4341,plain,
% 1.06/1.23 (~(Y!0 = cell22)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[2020, 4340])).
% 1.06/1.23 tff(4342,plain,
% 1.06/1.23 ((~(Y!0 = cell22)) | (~(X!1 = cell23))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2076, 4341])).
% 1.06/1.23 tff(4343,plain,
% 1.06/1.23 ((cell23 = cell99) <=> (cell23 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4344,plain,
% 1.06/1.23 ((cell23 = cell99) <=> (Y!0 = cell23)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4343, 2357])).
% 1.06/1.23 tff(4345,plain,
% 1.06/1.23 ((~(cell23 = cell99)) <=> (~(Y!0 = cell23))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4344])).
% 1.06/1.23 tff(4346,plain,
% 1.06/1.23 (~(Y!0 = cell23)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[1561, 4345])).
% 1.06/1.23 tff(4347,plain,
% 1.06/1.23 ((~(Y!0 = cell23)) | (~(X!1 = cell24))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2653, 4346])).
% 1.06/1.23 tff(4348,plain,
% 1.06/1.23 ((cell24 = cell99) <=> (cell24 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4349,plain,
% 1.06/1.23 ((cell24 = cell99) <=> (Y!0 = cell24)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4348, 2655])).
% 1.06/1.23 tff(4350,plain,
% 1.06/1.23 ((~(cell24 = cell99)) <=> (~(Y!0 = cell24))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4349])).
% 1.06/1.23 tff(4351,plain,
% 1.06/1.23 ((~(cell24 = cell99)) <=> (~(cell24 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4352,axiom,(~(cell24 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49547')).
% 1.06/1.23 tff(4353,plain,
% 1.06/1.23 (~(cell24 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4352, 4351])).
% 1.06/1.23 tff(4354,plain,
% 1.06/1.23 (~(Y!0 = cell24)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4353, 4350])).
% 1.06/1.23 tff(4355,plain,
% 1.06/1.23 ((~(Y!0 = cell24)) | (~(X!1 = cell25))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2663, 4354])).
% 1.06/1.23 tff(4356,plain,
% 1.06/1.23 ((cell25 = cell99) <=> (cell25 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4357,plain,
% 1.06/1.23 ((cell25 = cell99) <=> (Y!0 = cell25)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4356, 2665])).
% 1.06/1.23 tff(4358,plain,
% 1.06/1.23 ((~(cell25 = cell99)) <=> (~(Y!0 = cell25))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4357])).
% 1.06/1.23 tff(4359,plain,
% 1.06/1.23 ((~(cell25 = cell99)) <=> (~(cell25 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4360,axiom,(~(cell25 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49519')).
% 1.06/1.23 tff(4361,plain,
% 1.06/1.23 (~(cell25 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4360, 4359])).
% 1.06/1.23 tff(4362,plain,
% 1.06/1.23 (~(Y!0 = cell25)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4361, 4358])).
% 1.06/1.23 tff(4363,plain,
% 1.06/1.23 ((~(Y!0 = cell25)) | (~(X!1 = cell26))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2673, 4362])).
% 1.06/1.23 tff(4364,plain,
% 1.06/1.23 ((cell26 = cell99) <=> (cell26 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4365,plain,
% 1.06/1.23 ((cell26 = cell99) <=> (Y!0 = cell26)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4364, 2675])).
% 1.06/1.23 tff(4366,plain,
% 1.06/1.23 ((~(cell26 = cell99)) <=> (~(Y!0 = cell26))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4365])).
% 1.06/1.23 tff(4367,plain,
% 1.06/1.23 ((~(cell26 = cell99)) <=> (~(cell26 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4368,axiom,(~(cell26 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49490')).
% 1.06/1.23 tff(4369,plain,
% 1.06/1.23 (~(cell26 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4368, 4367])).
% 1.06/1.23 tff(4370,plain,
% 1.06/1.23 (~(Y!0 = cell26)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4369, 4366])).
% 1.06/1.23 tff(4371,plain,
% 1.06/1.23 ((~(Y!0 = cell26)) | (~(X!1 = cell27))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2683, 4370])).
% 1.06/1.23 tff(4372,plain,
% 1.06/1.23 ((cell27 = cell99) <=> (cell27 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4373,plain,
% 1.06/1.23 ((cell27 = cell99) <=> (Y!0 = cell27)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4372, 2685])).
% 1.06/1.23 tff(4374,plain,
% 1.06/1.23 ((~(cell27 = cell99)) <=> (~(Y!0 = cell27))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4373])).
% 1.06/1.23 tff(4375,plain,
% 1.06/1.23 ((~(cell27 = cell99)) <=> (~(cell27 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4376,axiom,(~(cell27 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49460')).
% 1.06/1.23 tff(4377,plain,
% 1.06/1.23 (~(cell27 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4376, 4375])).
% 1.06/1.23 tff(4378,plain,
% 1.06/1.23 (~(Y!0 = cell27)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4377, 4374])).
% 1.06/1.23 tff(4379,plain,
% 1.06/1.23 ((~(Y!0 = cell27)) | (~(X!1 = cell28))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2693, 4378])).
% 1.06/1.23 tff(4380,plain,
% 1.06/1.23 ((cell28 = cell99) <=> (cell28 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
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% 1.06/1.23 ((cell28 = cell99) <=> (Y!0 = cell28)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4380, 2695])).
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% 1.06/1.23 ((~(cell28 = cell99)) <=> (~(Y!0 = cell28))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4381])).
% 1.06/1.23 tff(4383,plain,
% 1.06/1.23 ((~(cell28 = cell99)) <=> (~(cell28 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4384,axiom,(~(cell28 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49429')).
% 1.06/1.23 tff(4385,plain,
% 1.06/1.23 (~(cell28 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4384, 4383])).
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% 1.06/1.23 (~(Y!0 = cell28)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4385, 4382])).
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% 1.06/1.23 ((~(Y!0 = cell28)) | (~(X!1 = cell29))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2703, 4386])).
% 1.06/1.23 tff(4388,plain,
% 1.06/1.23 ((cell29 = cell99) <=> (cell29 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4389,plain,
% 1.06/1.23 ((cell29 = cell99) <=> (Y!0 = cell29)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4388, 2705])).
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% 1.06/1.23 ((~(cell29 = cell99)) <=> (~(Y!0 = cell29))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4389])).
% 1.06/1.23 tff(4391,plain,
% 1.06/1.23 ((~(cell29 = cell99)) <=> (~(cell29 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4392,axiom,(~(cell29 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49397')).
% 1.06/1.23 tff(4393,plain,
% 1.06/1.23 (~(cell29 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4392, 4391])).
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% 1.06/1.23 (~(Y!0 = cell29)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4393, 4390])).
% 1.06/1.23 tff(4395,plain,
% 1.06/1.23 ((~(Y!0 = cell29)) | (~(X!1 = cell30))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2713, 4394])).
% 1.06/1.23 tff(4396,plain,
% 1.06/1.23 ((cell31 = cell99) <=> (cell31 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4397,plain,
% 1.06/1.23 ((cell31 = cell99) <=> (Y!0 = cell31)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4396, 2715])).
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% 1.06/1.23 ((~(cell31 = cell99)) <=> (~(Y!0 = cell31))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4397])).
% 1.06/1.23 tff(4399,plain,
% 1.06/1.23 ((~(cell31 = cell99)) <=> (~(cell31 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4400,axiom,(~(cell31 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49295')).
% 1.06/1.23 tff(4401,plain,
% 1.06/1.23 (~(cell31 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4400, 4399])).
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% 1.06/1.23 (~(Y!0 = cell31)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4401, 4398])).
% 1.06/1.23 tff(4403,plain,
% 1.06/1.23 ((~(Y!0 = cell31)) | (~(X!1 = cell32))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2723, 4402])).
% 1.06/1.23 tff(4404,plain,
% 1.06/1.23 ((cell32 = cell99) <=> (cell32 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4405,plain,
% 1.06/1.23 ((cell32 = cell99) <=> (Y!0 = cell32)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4404, 2725])).
% 1.06/1.23 tff(4406,plain,
% 1.06/1.23 ((~(cell32 = cell99)) <=> (~(Y!0 = cell32))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4405])).
% 1.06/1.23 tff(4407,plain,
% 1.06/1.23 ((~(cell32 = cell99)) <=> (~(cell32 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4408,axiom,(~(cell32 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49330')).
% 1.06/1.23 tff(4409,plain,
% 1.06/1.23 (~(cell32 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4408, 4407])).
% 1.06/1.23 tff(4410,plain,
% 1.06/1.23 (~(Y!0 = cell32)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4409, 4406])).
% 1.06/1.23 tff(4411,plain,
% 1.06/1.23 ((~(Y!0 = cell32)) | (~(X!1 = cell33))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2733, 4410])).
% 1.06/1.23 tff(4412,plain,
% 1.06/1.23 ((cell33 = cell99) <=> (cell33 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4413,plain,
% 1.06/1.23 ((cell33 = cell99) <=> (Y!0 = cell33)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4412, 2735])).
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% 1.06/1.23 ((~(cell33 = cell99)) <=> (~(Y!0 = cell33))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4413])).
% 1.06/1.23 tff(4415,plain,
% 1.06/1.23 ((~(cell33 = cell99)) <=> (~(cell33 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4416,axiom,(~(cell33 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49259')).
% 1.06/1.23 tff(4417,plain,
% 1.06/1.23 (~(cell33 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4416, 4415])).
% 1.06/1.23 tff(4418,plain,
% 1.06/1.23 (~(Y!0 = cell33)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4417, 4414])).
% 1.06/1.23 tff(4419,plain,
% 1.06/1.23 ((~(Y!0 = cell33)) | (~(X!1 = cell34))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2743, 4418])).
% 1.06/1.23 tff(4420,plain,
% 1.06/1.23 ((cell34 = cell99) <=> (cell34 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4421,plain,
% 1.06/1.23 ((cell34 = cell99) <=> (Y!0 = cell34)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4420, 2745])).
% 1.06/1.23 tff(4422,plain,
% 1.06/1.23 ((~(cell34 = cell99)) <=> (~(Y!0 = cell34))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4421])).
% 1.06/1.23 tff(4423,plain,
% 1.06/1.23 ((~(cell34 = cell99)) <=> (~(cell34 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4424,axiom,(~(cell34 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49222')).
% 1.06/1.23 tff(4425,plain,
% 1.06/1.23 (~(cell34 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4424, 4423])).
% 1.06/1.23 tff(4426,plain,
% 1.06/1.23 (~(Y!0 = cell34)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4425, 4422])).
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% 1.06/1.23 inference(unit_resolution,[status(thm)],[2753, 4426])).
% 1.06/1.23 tff(4428,plain,
% 1.06/1.23 ((cell35 = cell99) <=> (cell35 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4429,plain,
% 1.06/1.23 ((cell35 = cell99) <=> (Y!0 = cell35)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4428, 2755])).
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% 1.06/1.23 ((~(cell35 = cell99)) <=> (~(Y!0 = cell35))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4429])).
% 1.06/1.23 tff(4431,plain,
% 1.06/1.23 ((~(cell35 = cell99)) <=> (~(cell35 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4432,axiom,(~(cell35 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49184')).
% 1.06/1.23 tff(4433,plain,
% 1.06/1.23 (~(cell35 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4432, 4431])).
% 1.06/1.23 tff(4434,plain,
% 1.06/1.23 (~(Y!0 = cell35)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4433, 4430])).
% 1.06/1.23 tff(4435,plain,
% 1.06/1.23 ((~(Y!0 = cell35)) | (~(X!1 = cell36))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2763, 4434])).
% 1.06/1.23 tff(4436,plain,
% 1.06/1.23 ((cell36 = cell99) <=> (cell36 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4437,plain,
% 1.06/1.23 ((cell36 = cell99) <=> (Y!0 = cell36)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4436, 2765])).
% 1.06/1.23 tff(4438,plain,
% 1.06/1.23 ((~(cell36 = cell99)) <=> (~(Y!0 = cell36))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4437])).
% 1.06/1.23 tff(4439,plain,
% 1.06/1.23 ((~(cell36 = cell99)) <=> (~(cell36 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4440,axiom,(~(cell36 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49145')).
% 1.06/1.23 tff(4441,plain,
% 1.06/1.23 (~(cell36 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4440, 4439])).
% 1.06/1.23 tff(4442,plain,
% 1.06/1.23 (~(Y!0 = cell36)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4441, 4438])).
% 1.06/1.23 tff(4443,plain,
% 1.06/1.23 ((~(Y!0 = cell36)) | (~(X!1 = cell37))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2773, 4442])).
% 1.06/1.23 tff(4444,plain,
% 1.06/1.23 ((cell37 = cell99) <=> (cell37 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4445,plain,
% 1.06/1.23 ((cell37 = cell99) <=> (Y!0 = cell37)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4444, 2775])).
% 1.06/1.23 tff(4446,plain,
% 1.06/1.23 ((~(cell37 = cell99)) <=> (~(Y!0 = cell37))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4445])).
% 1.06/1.23 tff(4447,plain,
% 1.06/1.23 ((~(cell37 = cell99)) <=> (~(cell37 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4448,axiom,(~(cell37 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49105')).
% 1.06/1.23 tff(4449,plain,
% 1.06/1.23 (~(cell37 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4448, 4447])).
% 1.06/1.23 tff(4450,plain,
% 1.06/1.23 (~(Y!0 = cell37)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4449, 4446])).
% 1.06/1.23 tff(4451,plain,
% 1.06/1.23 ((~(Y!0 = cell37)) | (~(X!1 = cell38))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2783, 4450])).
% 1.06/1.23 tff(4452,plain,
% 1.06/1.23 ((cell38 = cell99) <=> (cell38 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4453,plain,
% 1.06/1.23 ((cell38 = cell99) <=> (Y!0 = cell38)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4452, 2785])).
% 1.06/1.23 tff(4454,plain,
% 1.06/1.23 ((~(cell38 = cell99)) <=> (~(Y!0 = cell38))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4453])).
% 1.06/1.23 tff(4455,plain,
% 1.06/1.23 ((~(cell38 = cell99)) <=> (~(cell38 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4456,axiom,(~(cell38 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49064')).
% 1.06/1.23 tff(4457,plain,
% 1.06/1.23 (~(cell38 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4456, 4455])).
% 1.06/1.23 tff(4458,plain,
% 1.06/1.23 (~(Y!0 = cell38)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4457, 4454])).
% 1.06/1.23 tff(4459,plain,
% 1.06/1.23 ((~(Y!0 = cell38)) | (~(X!1 = cell39))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2793, 4458])).
% 1.06/1.23 tff(4460,plain,
% 1.06/1.23 ((cell39 = cell99) <=> (cell39 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4461,plain,
% 1.06/1.23 ((cell39 = cell99) <=> (Y!0 = cell39)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4460, 2795])).
% 1.06/1.23 tff(4462,plain,
% 1.06/1.23 ((~(cell39 = cell99)) <=> (~(Y!0 = cell39))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4461])).
% 1.06/1.23 tff(4463,plain,
% 1.06/1.23 ((~(cell39 = cell99)) <=> (~(cell39 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4464,axiom,(~(cell39 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49022')).
% 1.06/1.23 tff(4465,plain,
% 1.06/1.23 (~(cell39 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4464, 4463])).
% 1.06/1.23 tff(4466,plain,
% 1.06/1.23 (~(Y!0 = cell39)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4465, 4462])).
% 1.06/1.23 tff(4467,plain,
% 1.06/1.23 ((~(Y!0 = cell39)) | (~(X!1 = cell40))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2803, 4466])).
% 1.06/1.23 tff(4468,plain,
% 1.06/1.23 ((cell41 = cell99) <=> (cell41 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4469,plain,
% 1.06/1.23 ((cell41 = cell99) <=> (Y!0 = cell41)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4468, 2805])).
% 1.06/1.23 tff(4470,plain,
% 1.06/1.23 ((~(cell41 = cell99)) <=> (~(Y!0 = cell41))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4469])).
% 1.06/1.23 tff(4471,plain,
% 1.06/1.23 ((~(cell41 = cell99)) <=> (~(cell41 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4472,axiom,(~(cell41 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48890')).
% 1.06/1.23 tff(4473,plain,
% 1.06/1.23 (~(cell41 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4472, 4471])).
% 1.06/1.23 tff(4474,plain,
% 1.06/1.23 (~(Y!0 = cell41)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4473, 4470])).
% 1.06/1.23 tff(4475,plain,
% 1.06/1.23 ((~(Y!0 = cell41)) | (~(X!1 = cell42))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2813, 4474])).
% 1.06/1.23 tff(4476,plain,
% 1.06/1.23 ((cell42 = cell99) <=> (cell42 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4477,plain,
% 1.06/1.23 ((cell42 = cell99) <=> (Y!0 = cell42)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4476, 2815])).
% 1.06/1.23 tff(4478,plain,
% 1.06/1.23 ((~(cell42 = cell99)) <=> (~(Y!0 = cell42))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4477])).
% 1.06/1.23 tff(4479,plain,
% 1.06/1.23 ((~(cell42 = cell99)) <=> (~(cell42 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4480,axiom,(~(cell42 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48935')).
% 1.06/1.23 tff(4481,plain,
% 1.06/1.23 (~(cell42 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4480, 4479])).
% 1.06/1.23 tff(4482,plain,
% 1.06/1.23 (~(Y!0 = cell42)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4481, 4478])).
% 1.06/1.23 tff(4483,plain,
% 1.06/1.23 ((~(Y!0 = cell42)) | (~(X!1 = cell43))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2823, 4482])).
% 1.06/1.23 tff(4484,plain,
% 1.06/1.23 ((cell43 = cell99) <=> (cell43 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4485,plain,
% 1.06/1.23 ((cell43 = cell99) <=> (Y!0 = cell43)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4484, 2825])).
% 1.06/1.23 tff(4486,plain,
% 1.06/1.23 ((~(cell43 = cell99)) <=> (~(Y!0 = cell43))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4485])).
% 1.06/1.23 tff(4487,plain,
% 1.06/1.23 ((~(cell43 = cell99)) <=> (~(cell43 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4488,axiom,(~(cell43 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48844')).
% 1.06/1.23 tff(4489,plain,
% 1.06/1.23 (~(cell43 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4488, 4487])).
% 1.06/1.23 tff(4490,plain,
% 1.06/1.23 (~(Y!0 = cell43)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4489, 4486])).
% 1.06/1.23 tff(4491,plain,
% 1.06/1.23 ((~(Y!0 = cell43)) | (~(X!1 = cell44))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2833, 4490])).
% 1.06/1.23 tff(4492,plain,
% 1.06/1.23 ((cell44 = cell99) <=> (cell44 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4493,plain,
% 1.06/1.23 ((cell44 = cell99) <=> (Y!0 = cell44)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4492, 2835])).
% 1.06/1.23 tff(4494,plain,
% 1.06/1.23 ((~(cell44 = cell99)) <=> (~(Y!0 = cell44))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4493])).
% 1.06/1.23 tff(4495,plain,
% 1.06/1.23 ((~(cell44 = cell99)) <=> (~(cell44 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4496,axiom,(~(cell44 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48797')).
% 1.06/1.23 tff(4497,plain,
% 1.06/1.23 (~(cell44 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4496, 4495])).
% 1.06/1.23 tff(4498,plain,
% 1.06/1.23 (~(Y!0 = cell44)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4497, 4494])).
% 1.06/1.23 tff(4499,plain,
% 1.06/1.23 ((~(Y!0 = cell44)) | (~(X!1 = cell45))),
% 1.06/1.23 inference(unit_resolution,[status(thm)],[2843, 4498])).
% 1.06/1.23 tff(4500,plain,
% 1.06/1.23 ((cell45 = cell99) <=> (cell45 = Y!0)),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.23 tff(4501,plain,
% 1.06/1.23 ((cell45 = cell99) <=> (Y!0 = cell45)),
% 1.06/1.23 inference(transitivity,[status(thm)],[4500, 2845])).
% 1.06/1.23 tff(4502,plain,
% 1.06/1.23 ((~(cell45 = cell99)) <=> (~(Y!0 = cell45))),
% 1.06/1.23 inference(monotonicity,[status(thm)],[4501])).
% 1.06/1.23 tff(4503,plain,
% 1.06/1.23 ((~(cell45 = cell99)) <=> (~(cell45 = cell99))),
% 1.06/1.23 inference(rewrite,[status(thm)],[])).
% 1.06/1.23 tff(4504,axiom,(~(cell45 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48749')).
% 1.06/1.23 tff(4505,plain,
% 1.06/1.23 (~(cell45 = cell99)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4504, 4503])).
% 1.06/1.23 tff(4506,plain,
% 1.06/1.23 (~(Y!0 = cell45)),
% 1.06/1.23 inference(modus_ponens,[status(thm)],[4505, 4502])).
% 1.06/1.23 tff(4507,plain,
% 1.06/1.23 ((~(Y!0 = cell45)) | (~(X!1 = cell46))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[2853, 4506])).
% 1.06/1.24 tff(4508,plain,
% 1.06/1.24 ((cell46 = cell99) <=> (cell46 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4509,plain,
% 1.06/1.24 ((cell46 = cell99) <=> (Y!0 = cell46)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4508, 2855])).
% 1.06/1.24 tff(4510,plain,
% 1.06/1.24 ((~(cell46 = cell99)) <=> (~(Y!0 = cell46))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4509])).
% 1.06/1.24 tff(4511,plain,
% 1.06/1.24 ((~(cell46 = cell99)) <=> (~(cell46 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4512,axiom,(~(cell46 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48700')).
% 1.06/1.24 tff(4513,plain,
% 1.06/1.24 (~(cell46 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4512, 4511])).
% 1.06/1.24 tff(4514,plain,
% 1.06/1.24 (~(Y!0 = cell46)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4513, 4510])).
% 1.06/1.24 tff(4515,plain,
% 1.06/1.24 ((~(Y!0 = cell46)) | (~(X!1 = cell47))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[2863, 4514])).
% 1.06/1.24 tff(4516,plain,
% 1.06/1.24 ((cell47 = cell99) <=> (cell47 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4517,plain,
% 1.06/1.24 ((cell47 = cell99) <=> (Y!0 = cell47)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4516, 2865])).
% 1.06/1.24 tff(4518,plain,
% 1.06/1.24 ((~(cell47 = cell99)) <=> (~(Y!0 = cell47))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4517])).
% 1.06/1.24 tff(4519,plain,
% 1.06/1.24 ((~(cell47 = cell99)) <=> (~(cell47 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4520,axiom,(~(cell47 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48650')).
% 1.06/1.24 tff(4521,plain,
% 1.06/1.24 (~(cell47 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4520, 4519])).
% 1.06/1.24 tff(4522,plain,
% 1.06/1.24 (~(Y!0 = cell47)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4521, 4518])).
% 1.06/1.24 tff(4523,plain,
% 1.06/1.24 ((~(Y!0 = cell47)) | (~(X!1 = cell48))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[2873, 4522])).
% 1.06/1.24 tff(4524,plain,
% 1.06/1.24 ((cell48 = cell99) <=> (cell48 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4525,plain,
% 1.06/1.24 ((cell48 = cell99) <=> (Y!0 = cell48)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4524, 2875])).
% 1.06/1.24 tff(4526,plain,
% 1.06/1.24 ((~(cell48 = cell99)) <=> (~(Y!0 = cell48))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4525])).
% 1.06/1.24 tff(4527,plain,
% 1.06/1.24 ((~(cell48 = cell99)) <=> (~(cell48 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4528,axiom,(~(cell48 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48599')).
% 1.06/1.24 tff(4529,plain,
% 1.06/1.24 (~(cell48 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4528, 4527])).
% 1.06/1.24 tff(4530,plain,
% 1.06/1.24 (~(Y!0 = cell48)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4529, 4526])).
% 1.06/1.24 tff(4531,plain,
% 1.06/1.24 ((~(Y!0 = cell48)) | (~(X!1 = cell49))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[2883, 4530])).
% 1.06/1.24 tff(4532,plain,
% 1.06/1.24 ((cell49 = cell99) <=> (cell49 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4533,plain,
% 1.06/1.24 ((cell49 = cell99) <=> (Y!0 = cell49)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4532, 2885])).
% 1.06/1.24 tff(4534,plain,
% 1.06/1.24 ((~(cell49 = cell99)) <=> (~(Y!0 = cell49))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4533])).
% 1.06/1.24 tff(4535,plain,
% 1.06/1.24 ((~(cell49 = cell99)) <=> (~(cell49 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4536,axiom,(~(cell49 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48547')).
% 1.06/1.24 tff(4537,plain,
% 1.06/1.24 (~(cell49 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4536, 4535])).
% 1.06/1.24 tff(4538,plain,
% 1.06/1.24 (~(Y!0 = cell49)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4537, 4534])).
% 1.06/1.24 tff(4539,plain,
% 1.06/1.24 ((~(Y!0 = cell49)) | (~(X!1 = cell50))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[2893, 4538])).
% 1.06/1.24 tff(4540,plain,
% 1.06/1.24 ((cell51 = cell99) <=> (cell51 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4541,plain,
% 1.06/1.24 ((cell51 = cell99) <=> (Y!0 = cell51)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4540, 2895])).
% 1.06/1.24 tff(4542,plain,
% 1.06/1.24 ((~(cell51 = cell99)) <=> (~(Y!0 = cell51))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4541])).
% 1.06/1.24 tff(4543,plain,
% 1.06/1.24 ((~(cell51 = cell99)) <=> (~(cell51 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4544,axiom,(~(cell51 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48385')).
% 1.06/1.24 tff(4545,plain,
% 1.06/1.24 (~(cell51 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4544, 4543])).
% 1.06/1.24 tff(4546,plain,
% 1.06/1.24 (~(Y!0 = cell51)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4545, 4542])).
% 1.06/1.24 tff(4547,plain,
% 1.06/1.24 ((~(Y!0 = cell51)) | (~(X!1 = cell52))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[2903, 4546])).
% 1.06/1.24 tff(4548,plain,
% 1.06/1.24 ((cell52 = cell99) <=> (cell52 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4549,plain,
% 1.06/1.24 ((cell52 = cell99) <=> (Y!0 = cell52)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4548, 2905])).
% 1.06/1.24 tff(4550,plain,
% 1.06/1.24 ((~(cell52 = cell99)) <=> (~(Y!0 = cell52))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4549])).
% 1.06/1.24 tff(4551,plain,
% 1.06/1.24 ((~(cell52 = cell99)) <=> (~(cell52 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4552,axiom,(~(cell52 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48440')).
% 1.06/1.24 tff(4553,plain,
% 1.06/1.24 (~(cell52 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4552, 4551])).
% 1.06/1.24 tff(4554,plain,
% 1.06/1.24 (~(Y!0 = cell52)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4553, 4550])).
% 1.06/1.24 tff(4555,plain,
% 1.06/1.24 ((~(Y!0 = cell52)) | (~(X!1 = cell53))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[2913, 4554])).
% 1.06/1.24 tff(4556,plain,
% 1.06/1.24 ((cell53 = cell99) <=> (cell53 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4557,plain,
% 1.06/1.24 ((cell53 = cell99) <=> (Y!0 = cell53)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4556, 2915])).
% 1.06/1.24 tff(4558,plain,
% 1.06/1.24 ((~(cell53 = cell99)) <=> (~(Y!0 = cell53))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4557])).
% 1.06/1.24 tff(4559,plain,
% 1.06/1.24 ((~(cell53 = cell99)) <=> (~(cell53 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4560,axiom,(~(cell53 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48329')).
% 1.06/1.24 tff(4561,plain,
% 1.06/1.24 (~(cell53 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4560, 4559])).
% 1.06/1.24 tff(4562,plain,
% 1.06/1.24 (~(Y!0 = cell53)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4561, 4558])).
% 1.06/1.24 tff(4563,plain,
% 1.06/1.24 ((~(Y!0 = cell53)) | (~(X!1 = cell54))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[2923, 4562])).
% 1.06/1.24 tff(4564,plain,
% 1.06/1.24 ((cell54 = cell99) <=> (cell54 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4565,plain,
% 1.06/1.24 ((cell54 = cell99) <=> (Y!0 = cell54)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4564, 2925])).
% 1.06/1.24 tff(4566,plain,
% 1.06/1.24 ((~(cell54 = cell99)) <=> (~(Y!0 = cell54))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4565])).
% 1.06/1.24 tff(4567,plain,
% 1.06/1.24 ((~(cell54 = cell99)) <=> (~(cell54 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4568,axiom,(~(cell54 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48272')).
% 1.06/1.24 tff(4569,plain,
% 1.06/1.24 (~(cell54 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4568, 4567])).
% 1.06/1.24 tff(4570,plain,
% 1.06/1.24 (~(Y!0 = cell54)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4569, 4566])).
% 1.06/1.24 tff(4571,plain,
% 1.06/1.24 ((~(Y!0 = cell54)) | (~(X!1 = cell55))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[2933, 4570])).
% 1.06/1.24 tff(4572,plain,
% 1.06/1.24 ((cell55 = cell99) <=> (cell55 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4573,plain,
% 1.06/1.24 ((cell55 = cell99) <=> (Y!0 = cell55)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4572, 2935])).
% 1.06/1.24 tff(4574,plain,
% 1.06/1.24 ((~(cell55 = cell99)) <=> (~(Y!0 = cell55))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4573])).
% 1.06/1.24 tff(4575,plain,
% 1.06/1.24 ((~(cell55 = cell99)) <=> (~(cell55 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4576,axiom,(~(cell55 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48214')).
% 1.06/1.24 tff(4577,plain,
% 1.06/1.24 (~(cell55 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4576, 4575])).
% 1.06/1.24 tff(4578,plain,
% 1.06/1.24 (~(Y!0 = cell55)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4577, 4574])).
% 1.06/1.24 tff(4579,plain,
% 1.06/1.24 ((~(Y!0 = cell55)) | (~(X!1 = cell56))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[2943, 4578])).
% 1.06/1.24 tff(4580,plain,
% 1.06/1.24 ((cell56 = cell99) <=> (cell56 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4581,plain,
% 1.06/1.24 ((cell56 = cell99) <=> (Y!0 = cell56)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4580, 2945])).
% 1.06/1.24 tff(4582,plain,
% 1.06/1.24 ((~(cell56 = cell99)) <=> (~(Y!0 = cell56))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4581])).
% 1.06/1.24 tff(4583,plain,
% 1.06/1.24 ((~(cell56 = cell99)) <=> (~(cell56 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4584,axiom,(~(cell56 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48155')).
% 1.06/1.24 tff(4585,plain,
% 1.06/1.24 (~(cell56 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4584, 4583])).
% 1.06/1.24 tff(4586,plain,
% 1.06/1.24 (~(Y!0 = cell56)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4585, 4582])).
% 1.06/1.24 tff(4587,plain,
% 1.06/1.24 ((~(Y!0 = cell56)) | (~(X!1 = cell57))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[2953, 4586])).
% 1.06/1.24 tff(4588,plain,
% 1.06/1.24 ((cell57 = cell99) <=> (cell57 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4589,plain,
% 1.06/1.24 ((cell57 = cell99) <=> (Y!0 = cell57)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4588, 2955])).
% 1.06/1.24 tff(4590,plain,
% 1.06/1.24 ((~(cell57 = cell99)) <=> (~(Y!0 = cell57))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4589])).
% 1.06/1.24 tff(4591,plain,
% 1.06/1.24 ((~(cell57 = cell99)) <=> (~(cell57 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4592,axiom,(~(cell57 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48095')).
% 1.06/1.24 tff(4593,plain,
% 1.06/1.24 (~(cell57 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4592, 4591])).
% 1.06/1.24 tff(4594,plain,
% 1.06/1.24 (~(Y!0 = cell57)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4593, 4590])).
% 1.06/1.24 tff(4595,plain,
% 1.06/1.24 ((~(Y!0 = cell57)) | (~(X!1 = cell58))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[2963, 4594])).
% 1.06/1.24 tff(4596,plain,
% 1.06/1.24 ((cell58 = cell99) <=> (cell58 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4597,plain,
% 1.06/1.24 ((cell58 = cell99) <=> (Y!0 = cell58)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4596, 2965])).
% 1.06/1.24 tff(4598,plain,
% 1.06/1.24 ((~(cell58 = cell99)) <=> (~(Y!0 = cell58))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4597])).
% 1.06/1.24 tff(4599,plain,
% 1.06/1.24 ((~(cell58 = cell99)) <=> (~(cell58 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4600,axiom,(~(cell58 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48034')).
% 1.06/1.24 tff(4601,plain,
% 1.06/1.24 (~(cell58 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4600, 4599])).
% 1.06/1.24 tff(4602,plain,
% 1.06/1.24 (~(Y!0 = cell58)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4601, 4598])).
% 1.06/1.24 tff(4603,plain,
% 1.06/1.24 ((~(Y!0 = cell58)) | (~(X!1 = cell59))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[2973, 4602])).
% 1.06/1.24 tff(4604,plain,
% 1.06/1.24 ((cell59 = cell99) <=> (cell59 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4605,plain,
% 1.06/1.24 ((cell59 = cell99) <=> (Y!0 = cell59)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4604, 2975])).
% 1.06/1.24 tff(4606,plain,
% 1.06/1.24 ((~(cell59 = cell99)) <=> (~(Y!0 = cell59))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4605])).
% 1.06/1.24 tff(4607,plain,
% 1.06/1.24 ((~(cell59 = cell99)) <=> (~(cell59 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4608,axiom,(~(cell59 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47972')).
% 1.06/1.24 tff(4609,plain,
% 1.06/1.24 (~(cell59 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4608, 4607])).
% 1.06/1.24 tff(4610,plain,
% 1.06/1.24 (~(Y!0 = cell59)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4609, 4606])).
% 1.06/1.24 tff(4611,plain,
% 1.06/1.24 ((~(Y!0 = cell59)) | (~(X!1 = cell60))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[2983, 4610])).
% 1.06/1.24 tff(4612,plain,
% 1.06/1.24 ((cell61 = cell99) <=> (cell61 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4613,plain,
% 1.06/1.24 ((cell61 = cell99) <=> (Y!0 = cell61)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4612, 2985])).
% 1.06/1.24 tff(4614,plain,
% 1.06/1.24 ((~(cell61 = cell99)) <=> (~(Y!0 = cell61))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4613])).
% 1.06/1.24 tff(4615,plain,
% 1.06/1.24 ((~(cell61 = cell99)) <=> (~(cell61 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4616,axiom,(~(cell61 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47780')).
% 1.06/1.24 tff(4617,plain,
% 1.06/1.24 (~(cell61 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4616, 4615])).
% 1.06/1.24 tff(4618,plain,
% 1.06/1.24 (~(Y!0 = cell61)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4617, 4614])).
% 1.06/1.24 tff(4619,plain,
% 1.06/1.24 ((~(Y!0 = cell61)) | (~(X!1 = cell62))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[2993, 4618])).
% 1.06/1.24 tff(4620,plain,
% 1.06/1.24 ((cell62 = cell99) <=> (cell62 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4621,plain,
% 1.06/1.24 ((cell62 = cell99) <=> (Y!0 = cell62)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4620, 2995])).
% 1.06/1.24 tff(4622,plain,
% 1.06/1.24 ((~(cell62 = cell99)) <=> (~(Y!0 = cell62))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4621])).
% 1.06/1.24 tff(4623,plain,
% 1.06/1.24 ((~(cell62 = cell99)) <=> (~(cell62 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4624,axiom,(~(cell62 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47845')).
% 1.06/1.24 tff(4625,plain,
% 1.06/1.24 (~(cell62 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4624, 4623])).
% 1.06/1.24 tff(4626,plain,
% 1.06/1.24 (~(Y!0 = cell62)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4625, 4622])).
% 1.06/1.24 tff(4627,plain,
% 1.06/1.24 ((~(Y!0 = cell62)) | (~(X!1 = cell63))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3003, 4626])).
% 1.06/1.24 tff(4628,plain,
% 1.06/1.24 ((cell63 = cell99) <=> (cell63 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4629,plain,
% 1.06/1.24 ((cell63 = cell99) <=> (Y!0 = cell63)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4628, 3005])).
% 1.06/1.24 tff(4630,plain,
% 1.06/1.24 ((~(cell63 = cell99)) <=> (~(Y!0 = cell63))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4629])).
% 1.06/1.24 tff(4631,plain,
% 1.06/1.24 ((~(cell63 = cell99)) <=> (~(cell63 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4632,axiom,(~(cell63 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47714')).
% 1.06/1.24 tff(4633,plain,
% 1.06/1.24 (~(cell63 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4632, 4631])).
% 1.06/1.24 tff(4634,plain,
% 1.06/1.24 (~(Y!0 = cell63)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4633, 4630])).
% 1.06/1.24 tff(4635,plain,
% 1.06/1.24 ((~(Y!0 = cell63)) | (~(X!1 = cell64))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3013, 4634])).
% 1.06/1.24 tff(4636,plain,
% 1.06/1.24 ((cell64 = cell99) <=> (cell64 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4637,plain,
% 1.06/1.24 ((cell64 = cell99) <=> (Y!0 = cell64)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4636, 3015])).
% 1.06/1.24 tff(4638,plain,
% 1.06/1.24 ((~(cell64 = cell99)) <=> (~(Y!0 = cell64))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4637])).
% 1.06/1.24 tff(4639,plain,
% 1.06/1.24 ((~(cell64 = cell99)) <=> (~(cell64 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4640,axiom,(~(cell64 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47647')).
% 1.06/1.24 tff(4641,plain,
% 1.06/1.24 (~(cell64 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4640, 4639])).
% 1.06/1.24 tff(4642,plain,
% 1.06/1.24 (~(Y!0 = cell64)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4641, 4638])).
% 1.06/1.24 tff(4643,plain,
% 1.06/1.24 ((~(Y!0 = cell64)) | (~(X!1 = cell65))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3023, 4642])).
% 1.06/1.24 tff(4644,plain,
% 1.06/1.24 ((cell65 = cell99) <=> (cell65 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4645,plain,
% 1.06/1.24 ((cell65 = cell99) <=> (Y!0 = cell65)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4644, 3025])).
% 1.06/1.24 tff(4646,plain,
% 1.06/1.24 ((~(cell65 = cell99)) <=> (~(Y!0 = cell65))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4645])).
% 1.06/1.24 tff(4647,plain,
% 1.06/1.24 ((~(cell65 = cell99)) <=> (~(cell65 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4648,axiom,(~(cell65 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47579')).
% 1.06/1.24 tff(4649,plain,
% 1.06/1.24 (~(cell65 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4648, 4647])).
% 1.06/1.24 tff(4650,plain,
% 1.06/1.24 (~(Y!0 = cell65)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4649, 4646])).
% 1.06/1.24 tff(4651,plain,
% 1.06/1.24 ((~(Y!0 = cell65)) | (~(X!1 = cell66))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3033, 4650])).
% 1.06/1.24 tff(4652,plain,
% 1.06/1.24 ((cell66 = cell99) <=> (cell66 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4653,plain,
% 1.06/1.24 ((cell66 = cell99) <=> (Y!0 = cell66)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4652, 3035])).
% 1.06/1.24 tff(4654,plain,
% 1.06/1.24 ((~(cell66 = cell99)) <=> (~(Y!0 = cell66))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4653])).
% 1.06/1.24 tff(4655,plain,
% 1.06/1.24 ((~(cell66 = cell99)) <=> (~(cell66 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4656,axiom,(~(cell66 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47510')).
% 1.06/1.24 tff(4657,plain,
% 1.06/1.24 (~(cell66 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4656, 4655])).
% 1.06/1.24 tff(4658,plain,
% 1.06/1.24 (~(Y!0 = cell66)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4657, 4654])).
% 1.06/1.24 tff(4659,plain,
% 1.06/1.24 ((~(Y!0 = cell66)) | (~(X!1 = cell67))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3043, 4658])).
% 1.06/1.24 tff(4660,plain,
% 1.06/1.24 ((cell67 = cell99) <=> (cell67 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4661,plain,
% 1.06/1.24 ((cell67 = cell99) <=> (Y!0 = cell67)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4660, 3045])).
% 1.06/1.24 tff(4662,plain,
% 1.06/1.24 ((~(cell67 = cell99)) <=> (~(Y!0 = cell67))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4661])).
% 1.06/1.24 tff(4663,plain,
% 1.06/1.24 ((~(cell67 = cell99)) <=> (~(cell67 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4664,axiom,(~(cell67 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47440')).
% 1.06/1.24 tff(4665,plain,
% 1.06/1.24 (~(cell67 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4664, 4663])).
% 1.06/1.24 tff(4666,plain,
% 1.06/1.24 (~(Y!0 = cell67)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4665, 4662])).
% 1.06/1.24 tff(4667,plain,
% 1.06/1.24 ((~(Y!0 = cell67)) | (~(X!1 = cell68))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3053, 4666])).
% 1.06/1.24 tff(4668,plain,
% 1.06/1.24 ((cell68 = cell99) <=> (cell68 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4669,plain,
% 1.06/1.24 ((cell68 = cell99) <=> (Y!0 = cell68)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4668, 3055])).
% 1.06/1.24 tff(4670,plain,
% 1.06/1.24 ((~(cell68 = cell99)) <=> (~(Y!0 = cell68))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4669])).
% 1.06/1.24 tff(4671,plain,
% 1.06/1.24 ((~(cell68 = cell99)) <=> (~(cell68 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4672,axiom,(~(cell68 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47369')).
% 1.06/1.24 tff(4673,plain,
% 1.06/1.24 (~(cell68 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4672, 4671])).
% 1.06/1.24 tff(4674,plain,
% 1.06/1.24 (~(Y!0 = cell68)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4673, 4670])).
% 1.06/1.24 tff(4675,plain,
% 1.06/1.24 ((~(Y!0 = cell68)) | (~(X!1 = cell69))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3063, 4674])).
% 1.06/1.24 tff(4676,plain,
% 1.06/1.24 ((cell69 = cell99) <=> (cell69 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4677,plain,
% 1.06/1.24 ((cell69 = cell99) <=> (Y!0 = cell69)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4676, 3065])).
% 1.06/1.24 tff(4678,plain,
% 1.06/1.24 ((~(cell69 = cell99)) <=> (~(Y!0 = cell69))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4677])).
% 1.06/1.24 tff(4679,plain,
% 1.06/1.24 ((~(cell69 = cell99)) <=> (~(cell69 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4680,axiom,(~(cell69 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47297')).
% 1.06/1.24 tff(4681,plain,
% 1.06/1.24 (~(cell69 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4680, 4679])).
% 1.06/1.24 tff(4682,plain,
% 1.06/1.24 (~(Y!0 = cell69)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4681, 4678])).
% 1.06/1.24 tff(4683,plain,
% 1.06/1.24 ((~(Y!0 = cell69)) | (~(X!1 = cell70))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3073, 4682])).
% 1.06/1.24 tff(4684,plain,
% 1.06/1.24 ((cell71 = cell99) <=> (cell71 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4685,plain,
% 1.06/1.24 ((cell71 = cell99) <=> (Y!0 = cell71)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4684, 3075])).
% 1.06/1.24 tff(4686,plain,
% 1.06/1.24 ((~(cell71 = cell99)) <=> (~(Y!0 = cell71))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4685])).
% 1.06/1.24 tff(4687,plain,
% 1.06/1.24 ((~(cell71 = cell99)) <=> (~(cell71 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4688,axiom,(~(cell71 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47075')).
% 1.06/1.24 tff(4689,plain,
% 1.06/1.24 (~(cell71 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4688, 4687])).
% 1.06/1.24 tff(4690,plain,
% 1.06/1.24 (~(Y!0 = cell71)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4689, 4686])).
% 1.06/1.24 tff(4691,plain,
% 1.06/1.24 ((~(Y!0 = cell71)) | (~(X!1 = cell72))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3083, 4690])).
% 1.06/1.24 tff(4692,plain,
% 1.06/1.24 ((cell72 = cell99) <=> (cell72 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4693,plain,
% 1.06/1.24 ((cell72 = cell99) <=> (Y!0 = cell72)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4692, 3085])).
% 1.06/1.24 tff(4694,plain,
% 1.06/1.24 ((~(cell72 = cell99)) <=> (~(Y!0 = cell72))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4693])).
% 1.06/1.24 tff(4695,plain,
% 1.06/1.24 ((~(cell72 = cell99)) <=> (~(cell72 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4696,axiom,(~(cell72 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47150')).
% 1.06/1.24 tff(4697,plain,
% 1.06/1.24 (~(cell72 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4696, 4695])).
% 1.06/1.24 tff(4698,plain,
% 1.06/1.24 (~(Y!0 = cell72)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4697, 4694])).
% 1.06/1.24 tff(4699,plain,
% 1.06/1.24 ((~(Y!0 = cell72)) | (~(X!1 = cell73))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3093, 4698])).
% 1.06/1.24 tff(4700,plain,
% 1.06/1.24 ((cell73 = cell99) <=> (cell73 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4701,plain,
% 1.06/1.24 ((cell73 = cell99) <=> (Y!0 = cell73)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4700, 3095])).
% 1.06/1.24 tff(4702,plain,
% 1.06/1.24 ((~(cell73 = cell99)) <=> (~(Y!0 = cell73))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4701])).
% 1.06/1.24 tff(4703,plain,
% 1.06/1.24 ((~(cell73 = cell99)) <=> (~(cell73 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4704,axiom,(~(cell73 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46999')).
% 1.06/1.24 tff(4705,plain,
% 1.06/1.24 (~(cell73 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4704, 4703])).
% 1.06/1.24 tff(4706,plain,
% 1.06/1.24 (~(Y!0 = cell73)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4705, 4702])).
% 1.06/1.24 tff(4707,plain,
% 1.06/1.24 ((~(Y!0 = cell73)) | (~(X!1 = cell74))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3103, 4706])).
% 1.06/1.24 tff(4708,plain,
% 1.06/1.24 ((cell74 = cell99) <=> (cell74 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4709,plain,
% 1.06/1.24 ((cell74 = cell99) <=> (Y!0 = cell74)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4708, 3105])).
% 1.06/1.24 tff(4710,plain,
% 1.06/1.24 ((~(cell74 = cell99)) <=> (~(Y!0 = cell74))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4709])).
% 1.06/1.24 tff(4711,plain,
% 1.06/1.24 ((~(cell74 = cell99)) <=> (~(cell74 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4712,axiom,(~(cell74 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46922')).
% 1.06/1.24 tff(4713,plain,
% 1.06/1.24 (~(cell74 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4712, 4711])).
% 1.06/1.24 tff(4714,plain,
% 1.06/1.24 (~(Y!0 = cell74)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4713, 4710])).
% 1.06/1.24 tff(4715,plain,
% 1.06/1.24 ((~(Y!0 = cell74)) | (~(X!1 = cell75))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3113, 4714])).
% 1.06/1.24 tff(4716,plain,
% 1.06/1.24 ((cell75 = cell99) <=> (cell75 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4717,plain,
% 1.06/1.24 ((cell75 = cell99) <=> (Y!0 = cell75)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4716, 3115])).
% 1.06/1.24 tff(4718,plain,
% 1.06/1.24 ((~(cell75 = cell99)) <=> (~(Y!0 = cell75))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4717])).
% 1.06/1.24 tff(4719,plain,
% 1.06/1.24 ((~(cell75 = cell99)) <=> (~(cell75 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4720,axiom,(~(cell75 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46844')).
% 1.06/1.24 tff(4721,plain,
% 1.06/1.24 (~(cell75 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4720, 4719])).
% 1.06/1.24 tff(4722,plain,
% 1.06/1.24 (~(Y!0 = cell75)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4721, 4718])).
% 1.06/1.24 tff(4723,plain,
% 1.06/1.24 ((~(Y!0 = cell75)) | (~(X!1 = cell76))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3123, 4722])).
% 1.06/1.24 tff(4724,plain,
% 1.06/1.24 ((cell76 = cell99) <=> (cell76 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4725,plain,
% 1.06/1.24 ((cell76 = cell99) <=> (Y!0 = cell76)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4724, 3125])).
% 1.06/1.24 tff(4726,plain,
% 1.06/1.24 ((~(cell76 = cell99)) <=> (~(Y!0 = cell76))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4725])).
% 1.06/1.24 tff(4727,plain,
% 1.06/1.24 ((~(cell76 = cell99)) <=> (~(cell76 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4728,axiom,(~(cell76 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46765')).
% 1.06/1.24 tff(4729,plain,
% 1.06/1.24 (~(cell76 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4728, 4727])).
% 1.06/1.24 tff(4730,plain,
% 1.06/1.24 (~(Y!0 = cell76)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4729, 4726])).
% 1.06/1.24 tff(4731,plain,
% 1.06/1.24 ((~(Y!0 = cell76)) | (~(X!1 = cell77))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3133, 4730])).
% 1.06/1.24 tff(4732,plain,
% 1.06/1.24 ((cell77 = cell99) <=> (cell77 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4733,plain,
% 1.06/1.24 ((cell77 = cell99) <=> (Y!0 = cell77)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4732, 3135])).
% 1.06/1.24 tff(4734,plain,
% 1.06/1.24 ((~(cell77 = cell99)) <=> (~(Y!0 = cell77))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4733])).
% 1.06/1.24 tff(4735,plain,
% 1.06/1.24 ((~(cell77 = cell99)) <=> (~(cell77 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4736,axiom,(~(cell77 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46685')).
% 1.06/1.24 tff(4737,plain,
% 1.06/1.24 (~(cell77 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4736, 4735])).
% 1.06/1.24 tff(4738,plain,
% 1.06/1.24 (~(Y!0 = cell77)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4737, 4734])).
% 1.06/1.24 tff(4739,plain,
% 1.06/1.24 ((~(Y!0 = cell77)) | (~(X!1 = cell78))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3143, 4738])).
% 1.06/1.24 tff(4740,plain,
% 1.06/1.24 ((cell78 = cell99) <=> (cell78 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4741,plain,
% 1.06/1.24 ((cell78 = cell99) <=> (Y!0 = cell78)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4740, 3145])).
% 1.06/1.24 tff(4742,plain,
% 1.06/1.24 ((~(cell78 = cell99)) <=> (~(Y!0 = cell78))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4741])).
% 1.06/1.24 tff(4743,plain,
% 1.06/1.24 ((~(cell78 = cell99)) <=> (~(cell78 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4744,axiom,(~(cell78 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46604')).
% 1.06/1.24 tff(4745,plain,
% 1.06/1.24 (~(cell78 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4744, 4743])).
% 1.06/1.24 tff(4746,plain,
% 1.06/1.24 (~(Y!0 = cell78)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4745, 4742])).
% 1.06/1.24 tff(4747,plain,
% 1.06/1.24 ((~(Y!0 = cell78)) | (~(X!1 = cell79))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3153, 4746])).
% 1.06/1.24 tff(4748,plain,
% 1.06/1.24 ((cell90 = cell99) <=> (cell90 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4749,plain,
% 1.06/1.24 ((cell90 = cell99) <=> (Y!0 = cell90)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4748, 1572])).
% 1.06/1.24 tff(4750,plain,
% 1.06/1.24 ((~(cell90 = cell99)) <=> (~(Y!0 = cell90))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4749])).
% 1.06/1.24 tff(4751,plain,
% 1.06/1.24 ((~(cell90 = cell99)) <=> (~(cell90 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4752,axiom,(~(cell90 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49910')).
% 1.06/1.24 tff(4753,plain,
% 1.06/1.24 (~(cell90 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4752, 4751])).
% 1.06/1.24 tff(4754,plain,
% 1.06/1.24 (~(Y!0 = cell90)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4753, 4750])).
% 1.06/1.24 tff(4755,plain,
% 1.06/1.24 ((~(Y!0 = cell90)) | (~(X!1 = cell100))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3548, 4754])).
% 1.06/1.24 tff(4756,plain,
% 1.06/1.24 ((cell81 = cell99) <=> (cell81 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4757,plain,
% 1.06/1.24 ((cell81 = cell99) <=> (Y!0 = cell81)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4756, 3163])).
% 1.06/1.24 tff(4758,plain,
% 1.06/1.24 ((~(cell81 = cell99)) <=> (~(Y!0 = cell81))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4757])).
% 1.06/1.24 tff(4759,plain,
% 1.06/1.24 ((~(cell81 = cell99)) <=> (~(cell81 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4760,axiom,(~(cell81 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46355')).
% 1.06/1.24 tff(4761,plain,
% 1.06/1.24 (~(cell81 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4760, 4759])).
% 1.06/1.24 tff(4762,plain,
% 1.06/1.24 (~(Y!0 = cell81)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4761, 4758])).
% 1.06/1.24 tff(4763,plain,
% 1.06/1.24 ((~(Y!0 = cell81)) | (~(X!1 = cell82))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3171, 4762])).
% 1.06/1.24 tff(4764,plain,
% 1.06/1.24 ((cell82 = cell99) <=> (cell82 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4765,plain,
% 1.06/1.24 ((cell82 = cell99) <=> (Y!0 = cell82)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4764, 3173])).
% 1.06/1.24 tff(4766,plain,
% 1.06/1.24 ((~(cell82 = cell99)) <=> (~(Y!0 = cell82))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4765])).
% 1.06/1.24 tff(4767,plain,
% 1.06/1.24 ((~(cell82 = cell99)) <=> (~(cell82 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4768,axiom,(~(cell82 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46439')).
% 1.06/1.24 tff(4769,plain,
% 1.06/1.24 (~(cell82 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4768, 4767])).
% 1.06/1.24 tff(4770,plain,
% 1.06/1.24 (~(Y!0 = cell82)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4769, 4766])).
% 1.06/1.24 tff(4771,plain,
% 1.06/1.24 ((~(Y!0 = cell82)) | (~(X!1 = cell83))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3181, 4770])).
% 1.06/1.24 tff(4772,plain,
% 1.06/1.24 ((cell83 = cell99) <=> (cell83 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4773,plain,
% 1.06/1.24 ((cell83 = cell99) <=> (Y!0 = cell83)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4772, 3183])).
% 1.06/1.24 tff(4774,plain,
% 1.06/1.24 ((~(cell83 = cell99)) <=> (~(Y!0 = cell83))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4773])).
% 1.06/1.24 tff(4775,plain,
% 1.06/1.24 ((~(cell83 = cell99)) <=> (~(cell83 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4776,axiom,(~(cell83 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46270')).
% 1.06/1.24 tff(4777,plain,
% 1.06/1.24 (~(cell83 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4776, 4775])).
% 1.06/1.24 tff(4778,plain,
% 1.06/1.24 (~(Y!0 = cell83)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4777, 4774])).
% 1.06/1.24 tff(4779,plain,
% 1.06/1.24 ((~(Y!0 = cell83)) | (~(X!1 = cell84))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3191, 4778])).
% 1.06/1.24 tff(4780,plain,
% 1.06/1.24 ((cell84 = cell99) <=> (cell84 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4781,plain,
% 1.06/1.24 ((cell84 = cell99) <=> (Y!0 = cell84)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4780, 3193])).
% 1.06/1.24 tff(4782,plain,
% 1.06/1.24 ((~(cell84 = cell99)) <=> (~(Y!0 = cell84))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4781])).
% 1.06/1.24 tff(4783,plain,
% 1.06/1.24 ((~(cell84 = cell99)) <=> (~(cell84 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4784,axiom,(~(cell84 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46184')).
% 1.06/1.24 tff(4785,plain,
% 1.06/1.24 (~(cell84 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4784, 4783])).
% 1.06/1.24 tff(4786,plain,
% 1.06/1.24 (~(Y!0 = cell84)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4785, 4782])).
% 1.06/1.24 tff(4787,plain,
% 1.06/1.24 ((~(Y!0 = cell84)) | (~(X!1 = cell85))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3201, 4786])).
% 1.06/1.24 tff(4788,plain,
% 1.06/1.24 ((cell85 = cell99) <=> (cell85 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4789,plain,
% 1.06/1.24 ((cell85 = cell99) <=> (Y!0 = cell85)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4788, 3203])).
% 1.06/1.24 tff(4790,plain,
% 1.06/1.24 ((~(cell85 = cell99)) <=> (~(Y!0 = cell85))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4789])).
% 1.06/1.24 tff(4791,plain,
% 1.06/1.24 ((~(cell85 = cell99)) <=> (~(cell85 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4792,axiom,(~(cell85 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46097')).
% 1.06/1.24 tff(4793,plain,
% 1.06/1.24 (~(cell85 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4792, 4791])).
% 1.06/1.24 tff(4794,plain,
% 1.06/1.24 (~(Y!0 = cell85)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4793, 4790])).
% 1.06/1.24 tff(4795,plain,
% 1.06/1.24 ((~(Y!0 = cell85)) | (~(X!1 = cell86))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3211, 4794])).
% 1.06/1.24 tff(4796,plain,
% 1.06/1.24 ((cell86 = cell99) <=> (cell86 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4797,plain,
% 1.06/1.24 ((cell86 = cell99) <=> (Y!0 = cell86)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4796, 3213])).
% 1.06/1.24 tff(4798,plain,
% 1.06/1.24 ((~(cell86 = cell99)) <=> (~(Y!0 = cell86))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4797])).
% 1.06/1.24 tff(4799,plain,
% 1.06/1.24 ((~(cell86 = cell99)) <=> (~(cell86 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4800,axiom,(~(cell86 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46009')).
% 1.06/1.24 tff(4801,plain,
% 1.06/1.24 (~(cell86 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4800, 4799])).
% 1.06/1.24 tff(4802,plain,
% 1.06/1.24 (~(Y!0 = cell86)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4801, 4798])).
% 1.06/1.24 tff(4803,plain,
% 1.06/1.24 ((~(Y!0 = cell86)) | (~(X!1 = cell87))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3221, 4802])).
% 1.06/1.24 tff(4804,plain,
% 1.06/1.24 ((cell87 = cell99) <=> (cell87 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4805,plain,
% 1.06/1.24 ((cell87 = cell99) <=> (Y!0 = cell87)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4804, 3223])).
% 1.06/1.24 tff(4806,plain,
% 1.06/1.24 ((~(cell87 = cell99)) <=> (~(Y!0 = cell87))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4805])).
% 1.06/1.24 tff(4807,plain,
% 1.06/1.24 ((~(cell87 = cell99)) <=> (~(cell87 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4808,axiom,(~(cell87 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45920')).
% 1.06/1.24 tff(4809,plain,
% 1.06/1.24 (~(cell87 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4808, 4807])).
% 1.06/1.24 tff(4810,plain,
% 1.06/1.24 (~(Y!0 = cell87)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4809, 4806])).
% 1.06/1.24 tff(4811,plain,
% 1.06/1.24 ((~(Y!0 = cell87)) | (~(X!1 = cell88))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3231, 4810])).
% 1.06/1.24 tff(4812,plain,
% 1.06/1.24 ((cell89 = cell99) <=> (cell89 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4813,plain,
% 1.06/1.24 ((cell89 = cell99) <=> (Y!0 = cell89)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4812, 3297])).
% 1.06/1.24 tff(4814,plain,
% 1.06/1.24 ((~(cell89 = cell99)) <=> (~(Y!0 = cell89))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4813])).
% 1.06/1.24 tff(4815,plain,
% 1.06/1.24 ((~(cell89 = cell99)) <=> (~(cell89 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4816,axiom,(~(cell89 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49889')).
% 1.06/1.24 tff(4817,plain,
% 1.06/1.24 (~(cell89 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4816, 4815])).
% 1.06/1.24 tff(4818,plain,
% 1.06/1.24 (~(Y!0 = cell89)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4817, 4814])).
% 1.06/1.24 tff(4819,plain,
% 1.06/1.24 ((~(Y!0 = cell89)) | (~(X!1 = cell90))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3305, 4818])).
% 1.06/1.24 tff(4820,plain,
% 1.06/1.24 ((~(Y!0 = cell2)) | (~(X!1 = cell12))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3308, 4183])).
% 1.06/1.24 tff(4821,plain,
% 1.06/1.24 ((~(Y!0 = cell3)) | (~(X!1 = cell13))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[1995, 4188])).
% 1.06/1.24 tff(4822,plain,
% 1.06/1.24 ((~(Y!0 = cell4)) | (~(X!1 = cell14))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3311, 4196])).
% 1.06/1.24 tff(4823,plain,
% 1.06/1.24 ((~(Y!0 = cell5)) | (~(X!1 = cell15))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3313, 4204])).
% 1.06/1.24 tff(4824,plain,
% 1.06/1.24 ((~(Y!0 = cell6)) | (~(X!1 = cell16))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3315, 4212])).
% 1.06/1.24 tff(4825,plain,
% 1.06/1.24 ((~(Y!0 = cell7)) | (~(X!1 = cell17))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3317, 4220])).
% 1.06/1.24 tff(4826,plain,
% 1.06/1.24 ((~(Y!0 = cell8)) | (~(X!1 = cell18))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3319, 4228])).
% 1.06/1.24 tff(4827,plain,
% 1.06/1.24 ((~(Y!0 = cell9)) | (~(X!1 = cell19))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3321, 4236])).
% 1.06/1.24 tff(4828,plain,
% 1.06/1.24 ((cell10 = cell99) <=> (cell10 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4829,plain,
% 1.06/1.24 ((cell10 = cell99) <=> (Y!0 = cell10)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4828, 3323])).
% 1.06/1.24 tff(4830,plain,
% 1.06/1.24 ((~(cell10 = cell99)) <=> (~(Y!0 = cell10))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4829])).
% 1.06/1.24 tff(4831,plain,
% 1.06/1.24 ((~(cell10 = cell99)) <=> (~(cell10 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4832,axiom,(~(cell10 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49772')).
% 1.06/1.24 tff(4833,plain,
% 1.06/1.24 (~(cell10 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4832, 4831])).
% 1.06/1.24 tff(4834,plain,
% 1.06/1.24 (~(Y!0 = cell10)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4833, 4830])).
% 1.06/1.24 tff(4835,plain,
% 1.06/1.24 ((~(Y!0 = cell10)) | (~(X!1 = cell20))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3331, 4834])).
% 1.06/1.24 tff(4836,plain,
% 1.06/1.24 ((~(Y!0 = cell11)) | (~(X!1 = cell21))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3333, 4243])).
% 1.06/1.24 tff(4837,plain,
% 1.06/1.24 ((~(Y!0 = cell12)) | (~(X!1 = cell22))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3335, 4246])).
% 1.06/1.24 tff(4838,plain,
% 1.06/1.24 ((~(Y!0 = cell13)) | (~(X!1 = cell23))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3337, 4250])).
% 1.06/1.24 tff(4839,plain,
% 1.06/1.24 ((~(Y!0 = cell14)) | (~(X!1 = cell24))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3339, 4255])).
% 1.06/1.24 tff(4840,plain,
% 1.06/1.24 ((~(Y!0 = cell15)) | (~(X!1 = cell25))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3341, 4263])).
% 1.06/1.24 tff(4841,plain,
% 1.06/1.24 ((~(Y!0 = cell16)) | (~(X!1 = cell26))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3343, 4271])).
% 1.06/1.24 tff(4842,plain,
% 1.06/1.24 ((~(Y!0 = cell17)) | (~(X!1 = cell27))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3345, 4279])).
% 1.06/1.24 tff(4843,plain,
% 1.06/1.24 ((~(Y!0 = cell18)) | (~(X!1 = cell28))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3347, 4287])).
% 1.06/1.24 tff(4844,plain,
% 1.06/1.24 ((~(Y!0 = cell19)) | (~(X!1 = cell29))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3349, 4295])).
% 1.06/1.24 tff(4845,plain,
% 1.06/1.24 ((cell20 = cell99) <=> (cell20 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4846,plain,
% 1.06/1.24 ((cell20 = cell99) <=> (Y!0 = cell20)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4845, 3351])).
% 1.06/1.24 tff(4847,plain,
% 1.06/1.24 ((~(cell20 = cell99)) <=> (~(Y!0 = cell20))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4846])).
% 1.06/1.24 tff(4848,plain,
% 1.06/1.24 ((~(cell20 = cell99)) <=> (~(cell20 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4849,axiom,(~(cell20 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49625')).
% 1.06/1.24 tff(4850,plain,
% 1.06/1.24 (~(cell20 = cell99)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4849, 4848])).
% 1.06/1.24 tff(4851,plain,
% 1.06/1.24 (~(Y!0 = cell20)),
% 1.06/1.24 inference(modus_ponens,[status(thm)],[4850, 4847])).
% 1.06/1.24 tff(4852,plain,
% 1.06/1.24 ((~(Y!0 = cell20)) | (~(X!1 = cell30))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3359, 4851])).
% 1.06/1.24 tff(4853,plain,
% 1.06/1.24 ((~(Y!0 = cell21)) | (~(X!1 = cell31))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3361, 4337])).
% 1.06/1.24 tff(4854,plain,
% 1.06/1.24 ((~(Y!0 = cell22)) | (~(X!1 = cell32))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[2078, 4341])).
% 1.06/1.24 tff(4855,plain,
% 1.06/1.24 ((~(Y!0 = cell23)) | (~(X!1 = cell33))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3364, 4346])).
% 1.06/1.24 tff(4856,plain,
% 1.06/1.24 ((~(Y!0 = cell24)) | (~(X!1 = cell34))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3366, 4354])).
% 1.06/1.24 tff(4857,plain,
% 1.06/1.24 ((~(Y!0 = cell25)) | (~(X!1 = cell35))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3368, 4362])).
% 1.06/1.24 tff(4858,plain,
% 1.06/1.24 ((~(Y!0 = cell26)) | (~(X!1 = cell36))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3370, 4370])).
% 1.06/1.24 tff(4859,plain,
% 1.06/1.24 ((~(Y!0 = cell27)) | (~(X!1 = cell37))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3372, 4378])).
% 1.06/1.24 tff(4860,plain,
% 1.06/1.24 ((~(Y!0 = cell28)) | (~(X!1 = cell38))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3374, 4386])).
% 1.06/1.24 tff(4861,plain,
% 1.06/1.24 ((~(Y!0 = cell29)) | (~(X!1 = cell39))),
% 1.06/1.24 inference(unit_resolution,[status(thm)],[3376, 4394])).
% 1.06/1.24 tff(4862,plain,
% 1.06/1.24 ((cell30 = cell99) <=> (cell30 = Y!0)),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.24 tff(4863,plain,
% 1.06/1.24 ((cell30 = cell99) <=> (Y!0 = cell30)),
% 1.06/1.24 inference(transitivity,[status(thm)],[4862, 3378])).
% 1.06/1.24 tff(4864,plain,
% 1.06/1.24 ((~(cell30 = cell99)) <=> (~(Y!0 = cell30))),
% 1.06/1.24 inference(monotonicity,[status(thm)],[4863])).
% 1.06/1.24 tff(4865,plain,
% 1.06/1.24 ((~(cell30 = cell99)) <=> (~(cell30 = cell99))),
% 1.06/1.24 inference(rewrite,[status(thm)],[])).
% 1.06/1.24 tff(4866,axiom,(~(cell30 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49364')).
% 1.06/1.25 tff(4867,plain,
% 1.06/1.25 (~(cell30 = cell99)),
% 1.06/1.25 inference(modus_ponens,[status(thm)],[4866, 4865])).
% 1.06/1.25 tff(4868,plain,
% 1.06/1.25 (~(Y!0 = cell30)),
% 1.06/1.25 inference(modus_ponens,[status(thm)],[4867, 4864])).
% 1.06/1.25 tff(4869,plain,
% 1.06/1.25 ((~(Y!0 = cell30)) | (~(X!1 = cell40))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3386, 4868])).
% 1.06/1.25 tff(4870,plain,
% 1.06/1.25 ((~(Y!0 = cell31)) | (~(X!1 = cell41))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3388, 4402])).
% 1.06/1.25 tff(4871,plain,
% 1.06/1.25 ((~(Y!0 = cell32)) | (~(X!1 = cell42))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3390, 4410])).
% 1.06/1.25 tff(4872,plain,
% 1.06/1.25 ((~(Y!0 = cell33)) | (~(X!1 = cell43))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3392, 4418])).
% 1.06/1.25 tff(4873,plain,
% 1.06/1.25 ((~(Y!0 = cell34)) | (~(X!1 = cell44))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3394, 4426])).
% 1.06/1.25 tff(4874,plain,
% 1.06/1.25 ((~(Y!0 = cell35)) | (~(X!1 = cell45))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3396, 4434])).
% 1.06/1.25 tff(4875,plain,
% 1.06/1.25 ((~(Y!0 = cell36)) | (~(X!1 = cell46))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3398, 4442])).
% 1.06/1.25 tff(4876,plain,
% 1.06/1.25 ((~(Y!0 = cell37)) | (~(X!1 = cell47))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3400, 4450])).
% 1.06/1.25 tff(4877,plain,
% 1.06/1.25 ((~(Y!0 = cell38)) | (~(X!1 = cell48))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3402, 4458])).
% 1.06/1.25 tff(4878,plain,
% 1.06/1.25 ((~(Y!0 = cell39)) | (~(X!1 = cell49))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3404, 4466])).
% 1.06/1.25 tff(4879,plain,
% 1.06/1.25 ((cell40 = cell99) <=> (cell40 = Y!0)),
% 1.06/1.25 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.25 tff(4880,plain,
% 1.06/1.25 ((cell40 = cell99) <=> (Y!0 = cell40)),
% 1.06/1.25 inference(transitivity,[status(thm)],[4879, 3406])).
% 1.06/1.25 tff(4881,plain,
% 1.06/1.25 ((~(cell40 = cell99)) <=> (~(Y!0 = cell40))),
% 1.06/1.25 inference(monotonicity,[status(thm)],[4880])).
% 1.06/1.25 tff(4882,plain,
% 1.06/1.25 ((~(cell40 = cell99)) <=> (~(cell40 = cell99))),
% 1.06/1.25 inference(rewrite,[status(thm)],[])).
% 1.06/1.25 tff(4883,axiom,(~(cell40 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48979')).
% 1.06/1.25 tff(4884,plain,
% 1.06/1.25 (~(cell40 = cell99)),
% 1.06/1.25 inference(modus_ponens,[status(thm)],[4883, 4882])).
% 1.06/1.25 tff(4885,plain,
% 1.06/1.25 (~(Y!0 = cell40)),
% 1.06/1.25 inference(modus_ponens,[status(thm)],[4884, 4881])).
% 1.06/1.25 tff(4886,plain,
% 1.06/1.25 ((~(Y!0 = cell40)) | (~(X!1 = cell50))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3414, 4885])).
% 1.06/1.25 tff(4887,plain,
% 1.06/1.25 ((~(Y!0 = cell41)) | (~(X!1 = cell51))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3416, 4474])).
% 1.06/1.25 tff(4888,plain,
% 1.06/1.25 ((~(Y!0 = cell42)) | (~(X!1 = cell52))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3418, 4482])).
% 1.06/1.25 tff(4889,plain,
% 1.06/1.25 ((~(Y!0 = cell43)) | (~(X!1 = cell53))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3420, 4490])).
% 1.06/1.25 tff(4890,plain,
% 1.06/1.25 ((~(Y!0 = cell44)) | (~(X!1 = cell54))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3422, 4498])).
% 1.06/1.25 tff(4891,plain,
% 1.06/1.25 ((~(Y!0 = cell45)) | (~(X!1 = cell55))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3424, 4506])).
% 1.06/1.25 tff(4892,plain,
% 1.06/1.25 ((~(Y!0 = cell46)) | (~(X!1 = cell56))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3426, 4514])).
% 1.06/1.25 tff(4893,plain,
% 1.06/1.25 ((~(Y!0 = cell47)) | (~(X!1 = cell57))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3428, 4522])).
% 1.06/1.25 tff(4894,plain,
% 1.06/1.25 ((~(Y!0 = cell48)) | (~(X!1 = cell58))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3430, 4530])).
% 1.06/1.25 tff(4895,plain,
% 1.06/1.25 ((~(Y!0 = cell49)) | (~(X!1 = cell59))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3432, 4538])).
% 1.06/1.25 tff(4896,plain,
% 1.06/1.25 ((cell50 = cell99) <=> (cell50 = Y!0)),
% 1.06/1.25 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.25 tff(4897,plain,
% 1.06/1.25 ((cell50 = cell99) <=> (Y!0 = cell50)),
% 1.06/1.25 inference(transitivity,[status(thm)],[4896, 3434])).
% 1.06/1.25 tff(4898,plain,
% 1.06/1.25 ((~(cell50 = cell99)) <=> (~(Y!0 = cell50))),
% 1.06/1.25 inference(monotonicity,[status(thm)],[4897])).
% 1.06/1.25 tff(4899,plain,
% 1.06/1.25 ((~(cell50 = cell99)) <=> (~(cell50 = cell99))),
% 1.06/1.25 inference(rewrite,[status(thm)],[])).
% 1.06/1.25 tff(4900,axiom,(~(cell50 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48494')).
% 1.06/1.25 tff(4901,plain,
% 1.06/1.25 (~(cell50 = cell99)),
% 1.06/1.25 inference(modus_ponens,[status(thm)],[4900, 4899])).
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% 1.06/1.25 (~(Y!0 = cell50)),
% 1.06/1.25 inference(modus_ponens,[status(thm)],[4901, 4898])).
% 1.06/1.25 tff(4903,plain,
% 1.06/1.25 ((~(Y!0 = cell50)) | (~(X!1 = cell60))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3442, 4902])).
% 1.06/1.25 tff(4904,plain,
% 1.06/1.25 ((~(Y!0 = cell51)) | (~(X!1 = cell61))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3444, 4546])).
% 1.06/1.25 tff(4905,plain,
% 1.06/1.25 ((~(Y!0 = cell52)) | (~(X!1 = cell62))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3446, 4554])).
% 1.06/1.25 tff(4906,plain,
% 1.06/1.25 ((~(Y!0 = cell53)) | (~(X!1 = cell63))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3448, 4562])).
% 1.06/1.25 tff(4907,plain,
% 1.06/1.25 ((~(Y!0 = cell54)) | (~(X!1 = cell64))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3450, 4570])).
% 1.06/1.25 tff(4908,plain,
% 1.06/1.25 ((~(Y!0 = cell55)) | (~(X!1 = cell65))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3452, 4578])).
% 1.06/1.25 tff(4909,plain,
% 1.06/1.25 ((~(Y!0 = cell56)) | (~(X!1 = cell66))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3454, 4586])).
% 1.06/1.25 tff(4910,plain,
% 1.06/1.25 ((~(Y!0 = cell57)) | (~(X!1 = cell67))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3456, 4594])).
% 1.06/1.25 tff(4911,plain,
% 1.06/1.25 ((~(Y!0 = cell58)) | (~(X!1 = cell68))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3458, 4602])).
% 1.06/1.25 tff(4912,plain,
% 1.06/1.25 ((~(Y!0 = cell59)) | (~(X!1 = cell69))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3460, 4610])).
% 1.06/1.25 tff(4913,plain,
% 1.06/1.25 ((cell60 = cell99) <=> (cell60 = Y!0)),
% 1.06/1.25 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.25 tff(4914,plain,
% 1.06/1.25 ((cell60 = cell99) <=> (Y!0 = cell60)),
% 1.06/1.25 inference(transitivity,[status(thm)],[4913, 3462])).
% 1.06/1.25 tff(4915,plain,
% 1.06/1.25 ((~(cell60 = cell99)) <=> (~(Y!0 = cell60))),
% 1.06/1.25 inference(monotonicity,[status(thm)],[4914])).
% 1.06/1.25 tff(4916,plain,
% 1.06/1.25 ((~(cell60 = cell99)) <=> (~(cell60 = cell99))),
% 1.06/1.25 inference(rewrite,[status(thm)],[])).
% 1.06/1.25 tff(4917,axiom,(~(cell60 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47909')).
% 1.06/1.25 tff(4918,plain,
% 1.06/1.25 (~(cell60 = cell99)),
% 1.06/1.25 inference(modus_ponens,[status(thm)],[4917, 4916])).
% 1.06/1.25 tff(4919,plain,
% 1.06/1.25 (~(Y!0 = cell60)),
% 1.06/1.25 inference(modus_ponens,[status(thm)],[4918, 4915])).
% 1.06/1.25 tff(4920,plain,
% 1.06/1.25 ((~(Y!0 = cell60)) | (~(X!1 = cell70))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3470, 4919])).
% 1.06/1.25 tff(4921,plain,
% 1.06/1.25 ((~(Y!0 = cell61)) | (~(X!1 = cell71))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3472, 4618])).
% 1.06/1.25 tff(4922,plain,
% 1.06/1.25 ((~(Y!0 = cell62)) | (~(X!1 = cell72))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3474, 4626])).
% 1.06/1.25 tff(4923,plain,
% 1.06/1.25 ((~(Y!0 = cell63)) | (~(X!1 = cell73))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3476, 4634])).
% 1.06/1.25 tff(4924,plain,
% 1.06/1.25 ((~(Y!0 = cell64)) | (~(X!1 = cell74))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3478, 4642])).
% 1.06/1.25 tff(4925,plain,
% 1.06/1.25 ((~(Y!0 = cell65)) | (~(X!1 = cell75))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3480, 4650])).
% 1.06/1.25 tff(4926,plain,
% 1.06/1.25 ((~(Y!0 = cell66)) | (~(X!1 = cell76))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3482, 4658])).
% 1.06/1.25 tff(4927,plain,
% 1.06/1.25 ((~(Y!0 = cell67)) | (~(X!1 = cell77))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3484, 4666])).
% 1.06/1.25 tff(4928,plain,
% 1.06/1.25 ((~(Y!0 = cell68)) | (~(X!1 = cell78))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3486, 4674])).
% 1.06/1.25 tff(4929,plain,
% 1.06/1.25 ((~(Y!0 = cell69)) | (~(X!1 = cell79))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3488, 4682])).
% 1.06/1.25 tff(4930,plain,
% 1.06/1.25 ((cell70 = cell99) <=> (cell70 = Y!0)),
% 1.06/1.25 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.25 tff(4931,plain,
% 1.06/1.25 ((cell70 = cell99) <=> (Y!0 = cell70)),
% 1.06/1.25 inference(transitivity,[status(thm)],[4930, 3490])).
% 1.06/1.25 tff(4932,plain,
% 1.06/1.25 ((~(cell70 = cell99)) <=> (~(Y!0 = cell70))),
% 1.06/1.25 inference(monotonicity,[status(thm)],[4931])).
% 1.06/1.25 tff(4933,plain,
% 1.06/1.25 ((~(cell70 = cell99)) <=> (~(cell70 = cell99))),
% 1.06/1.25 inference(rewrite,[status(thm)],[])).
% 1.06/1.25 tff(4934,axiom,(~(cell70 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47224')).
% 1.06/1.25 tff(4935,plain,
% 1.06/1.25 (~(cell70 = cell99)),
% 1.06/1.25 inference(modus_ponens,[status(thm)],[4934, 4933])).
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% 1.06/1.25 inference(modus_ponens,[status(thm)],[4935, 4932])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3498, 4936])).
% 1.06/1.25 tff(4938,plain,
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3500, 4690])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3502, 4698])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3504, 4706])).
% 1.06/1.25 tff(4941,plain,
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3506, 4714])).
% 1.06/1.25 tff(4942,plain,
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3508, 4722])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3510, 4730])).
% 1.06/1.25 tff(4944,plain,
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3512, 4738])).
% 1.06/1.25 tff(4945,plain,
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3514, 4746])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3516, 4818])).
% 1.06/1.25 tff(4947,plain,
% 1.06/1.25 ((cell80 = cell99) <=> (cell80 = Y!0)),
% 1.06/1.25 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.25 tff(4948,plain,
% 1.06/1.25 ((cell80 = cell99) <=> (Y!0 = cell80)),
% 1.06/1.25 inference(transitivity,[status(thm)],[4947, 3518])).
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% 1.06/1.25 inference(monotonicity,[status(thm)],[4948])).
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% 1.06/1.25 ((~(cell80 = cell99)) <=> (~(cell80 = cell99))),
% 1.06/1.25 inference(rewrite,[status(thm)],[])).
% 1.06/1.25 tff(4951,axiom,(~(cell80 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46522')).
% 1.06/1.25 tff(4952,plain,
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% 1.06/1.25 inference(modus_ponens,[status(thm)],[4951, 4950])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3526, 4953])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3528, 4762])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3530, 4770])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3532, 4778])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3534, 4786])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3536, 4794])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3538, 4802])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3540, 4810])).
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% 1.06/1.25 inference(monotonicity,[status(thm)],[4083])).
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% 1.06/1.25 inference(transitivity,[status(thm)],[4962, 2477])).
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% 1.06/1.25 inference(monotonicity,[status(thm)],[4963])).
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% 1.06/1.25 inference(rewrite,[status(thm)],[])).
% 1.06/1.25 tff(4966,axiom,(~(cell88 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49897')).
% 1.06/1.25 tff(4967,plain,
% 1.06/1.25 (~(cell88 = cell99)),
% 1.06/1.25 inference(modus_ponens,[status(thm)],[4966, 4965])).
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% 1.06/1.25 inference(modus_ponens,[status(thm)],[4967, 4964])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[2485, 4968])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3552, 4183])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3554, 4188])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3556, 4196])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3558, 4204])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3560, 4212])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3562, 4220])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3564, 4228])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3566, 4236])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3568, 4834])).
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% 1.06/1.25 inference(monotonicity,[status(thm)],[4083])).
% 1.06/1.25 tff(4980,plain,
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% 1.06/1.25 inference(transitivity,[status(thm)],[4979, 3570])).
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% 1.06/1.25 inference(monotonicity,[status(thm)],[4980])).
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% 1.06/1.25 tff(4983,axiom,(~(cell100 = cell99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45074')).
% 1.06/1.25 tff(4984,plain,
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% 1.06/1.25 inference(modus_ponens,[status(thm)],[4983, 4982])).
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% 1.06/1.25 inference(modus_ponens,[status(thm)],[4984, 4981])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3580, 4250])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[1985, 4255])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3583, 4263])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3585, 4271])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3587, 4279])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3834, 4626])).
% 1.06/1.25 tff(5118,plain,
% 1.06/1.25 ((~(X!1 = cell53)) | (~(Y!0 = cell63))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3836, 4634])).
% 1.06/1.25 tff(5119,plain,
% 1.06/1.25 ((~(X!1 = cell54)) | (~(Y!0 = cell64))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3838, 4642])).
% 1.06/1.25 tff(5120,plain,
% 1.06/1.25 ((~(X!1 = cell55)) | (~(Y!0 = cell65))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3840, 4650])).
% 1.06/1.25 tff(5121,plain,
% 1.06/1.25 ((~(X!1 = cell56)) | (~(Y!0 = cell66))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3842, 4658])).
% 1.06/1.25 tff(5122,plain,
% 1.06/1.25 ((~(X!1 = cell57)) | (~(Y!0 = cell67))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3844, 4666])).
% 1.06/1.25 tff(5123,plain,
% 1.06/1.25 ((~(X!1 = cell58)) | (~(Y!0 = cell68))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3846, 4674])).
% 1.06/1.25 tff(5124,plain,
% 1.06/1.25 ((~(X!1 = cell59)) | (~(Y!0 = cell69))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3848, 4682])).
% 1.06/1.25 tff(5125,plain,
% 1.06/1.25 ((~(X!1 = cell60)) | (~(Y!0 = cell70))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3850, 4936])).
% 1.06/1.25 tff(5126,plain,
% 1.06/1.25 ((~(X!1 = cell61)) | (~(Y!0 = cell71))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3852, 4690])).
% 1.06/1.25 tff(5127,plain,
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3854, 4698])).
% 1.06/1.25 tff(5128,plain,
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3856, 4706])).
% 1.06/1.25 tff(5129,plain,
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3858, 4714])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3860, 4722])).
% 1.06/1.25 tff(5131,plain,
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3862, 4730])).
% 1.06/1.25 tff(5132,plain,
% 1.06/1.25 ((~(X!1 = cell67)) | (~(Y!0 = cell77))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3864, 4738])).
% 1.06/1.25 tff(5133,plain,
% 1.06/1.25 ((~(X!1 = cell68)) | (~(Y!0 = cell78))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3866, 4746])).
% 1.06/1.25 tff(5134,plain,
% 1.06/1.25 (((~(X!1 = cell69)) | (~(Y!0 = cell79))) | (Y!0 = cell79)),
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% 1.06/1.25 tff(5135,plain,
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[5134, 4152])).
% 1.06/1.25 tff(5136,plain,
% 1.06/1.25 ((~(X!1 = cell70)) | (~(Y!0 = cell80))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3869, 4953])).
% 1.06/1.25 tff(5137,plain,
% 1.06/1.25 ((~(X!1 = cell71)) | (~(Y!0 = cell81))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3871, 4762])).
% 1.06/1.25 tff(5138,plain,
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3873, 4770])).
% 1.06/1.25 tff(5139,plain,
% 1.06/1.25 ((~(X!1 = cell73)) | (~(Y!0 = cell83))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3875, 4778])).
% 1.06/1.25 tff(5140,plain,
% 1.06/1.25 ((~(X!1 = cell74)) | (~(Y!0 = cell84))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3877, 4786])).
% 1.06/1.25 tff(5141,plain,
% 1.06/1.25 ((~(X!1 = cell75)) | (~(Y!0 = cell85))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3879, 4794])).
% 1.06/1.25 tff(5142,plain,
% 1.06/1.25 ((~(X!1 = cell76)) | (~(Y!0 = cell86))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3881, 4802])).
% 1.06/1.25 tff(5143,plain,
% 1.06/1.25 ((~(X!1 = cell77)) | (~(Y!0 = cell87))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3883, 4810])).
% 1.06/1.25 tff(5144,plain,
% 1.06/1.25 ((~(X!1 = cell78)) | (~(Y!0 = cell88))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3885, 4968])).
% 1.06/1.25 tff(5145,plain,
% 1.06/1.25 ((~(X!1 = cell79)) | (~(Y!0 = cell89))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3887, 4818])).
% 1.06/1.25 tff(5146,plain,
% 1.06/1.25 ((~(X!1 = cell80)) | (~(Y!0 = cell90))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3901, 4754])).
% 1.06/1.25 tff(5147,plain,
% 1.06/1.25 ((~(X!1 = cell81)) | (~(Y!0 = cell91))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3891, 4098])).
% 1.06/1.25 tff(5148,plain,
% 1.06/1.25 ((~(X!1 = cell82)) | (~(Y!0 = cell92))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3893, 4106])).
% 1.06/1.25 tff(5149,plain,
% 1.06/1.25 ((~(X!1 = cell83)) | (~(Y!0 = cell93))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3895, 4114])).
% 1.06/1.25 tff(5150,plain,
% 1.06/1.25 ((~(X!1 = cell84)) | (~(Y!0 = cell94))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3897, 4122])).
% 1.06/1.25 tff(5151,plain,
% 1.06/1.25 ((~(X!1 = cell85)) | (~(Y!0 = cell95))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3899, 4130])).
% 1.06/1.25 tff(5152,plain,
% 1.06/1.25 ((~(X!1 = cell86)) | (~(Y!0 = cell96))),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[3550, 4138])).
% 1.06/1.25 tff(5153,assumption,(~patient(cell22)), introduced(assumption)).
% 1.06/1.25 tff(5154,plain,
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3276, 5153, 2388, 2387, 3904])).
% 1.06/1.25 tff(5155,plain,
% 1.06/1.25 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((~patient(X!1)) | (cell2 = X!1) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (~patient(X!1)) | (cell2 = X!1) | (~patient(cell2)))),
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% 1.06/1.25 (((cell2 = X!1) | (~patient(cell2)) | (~patient(X!1))) <=> ((~patient(X!1)) | (cell2 = X!1) | (~patient(cell2)))),
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% 1.06/1.25 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell2 = X!1) | (~patient(cell2)) | (~patient(X!1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((~patient(X!1)) | (cell2 = X!1) | (~patient(cell2))))),
% 1.06/1.25 inference(monotonicity,[status(thm)],[5156])).
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% 1.06/1.25 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell2 = X!1) | (~patient(cell2)) | (~patient(X!1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (~patient(X!1)) | (cell2 = X!1) | (~patient(cell2)))),
% 1.06/1.25 inference(transitivity,[status(thm)],[5157, 5155])).
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% 1.06/1.25 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell2 = X!1) | (~patient(cell2)) | (~patient(X!1)))),
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% 1.06/1.25 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (~patient(X!1)) | (cell2 = X!1) | (~patient(cell2))),
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% 1.06/1.25 (cell2 = X!1),
% 1.06/1.25 inference(unit_resolution,[status(thm)],[5160, 5154, 23, 10])).
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% 1.06/1.25 inference(monotonicity,[status(thm)],[5161])).
% 1.06/1.25 tff(5163,plain,
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% 1.06/1.25 inference(transitivity,[status(thm)],[5162, 215])).
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% 1.06/1.25 tff(5165,assumption,(cell99 = Y!0), introduced(assumption)).
% 1.06/1.25 tff(5166,plain,
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% 1.06/1.25 inference(monotonicity,[status(thm)],[5165])).
% 1.06/1.25 tff(5167,plain,
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% 1.06/1.25 inference(transitivity,[status(thm)],[5166, 2467])).
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% 1.06/1.25 inference(monotonicity,[status(thm)],[5167])).
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% 1.06/1.25 inference(unit_resolution,[status(thm)],[3754, 5169])).
% 1.06/1.25 tff(5171,plain,
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% 1.06/1.25 inference(monotonicity,[status(thm)],[5165])).
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% 1.06/1.25 inference(transitivity,[status(thm)],[5171, 2398])).
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% 1.06/1.25 inference(monotonicity,[status(thm)],[5172])).
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% 1.06/1.25 inference(monotonicity,[status(thm)],[5177])).
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% 1.06/1.26 inference(transitivity,[status(thm)],[5181, 2418])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5165])).
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% 1.06/1.26 inference(transitivity,[status(thm)],[5186, 2428])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5187])).
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% 1.06/1.26 inference(modus_ponens,[status(thm)],[4409, 5335])).
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% 1.06/1.26 inference(unit_resolution,[status(thm)],[2733, 5336])).
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% 1.06/1.26 ((cell33 = cell99) <=> (cell33 = Y!0)),
% 1.06/1.26 inference(monotonicity,[status(thm)],[5165])).
% 1.06/1.26 tff(5339,plain,
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% 1.06/1.26 inference(transitivity,[status(thm)],[5338, 2735])).
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% 1.06/1.26 ((~(cell33 = cell99)) <=> (~(Y!0 = cell33))),
% 1.06/1.26 inference(monotonicity,[status(thm)],[5339])).
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% 1.06/1.26 inference(modus_ponens,[status(thm)],[4417, 5340])).
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% 1.06/1.26 inference(unit_resolution,[status(thm)],[2743, 5341])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5165])).
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% 1.06/1.26 inference(transitivity,[status(thm)],[5343, 2745])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5344])).
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% 1.06/1.26 inference(modus_ponens,[status(thm)],[4425, 5345])).
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% 1.06/1.26 inference(unit_resolution,[status(thm)],[2753, 5346])).
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% 1.06/1.26 ((cell35 = cell99) <=> (cell35 = Y!0)),
% 1.06/1.26 inference(monotonicity,[status(thm)],[5165])).
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% 1.06/1.26 inference(transitivity,[status(thm)],[5348, 2755])).
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% 1.06/1.26 ((~(cell35 = cell99)) <=> (~(Y!0 = cell35))),
% 1.06/1.26 inference(monotonicity,[status(thm)],[5349])).
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% 1.06/1.26 inference(modus_ponens,[status(thm)],[4433, 5350])).
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% 1.06/1.26 inference(unit_resolution,[status(thm)],[2763, 5351])).
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% 1.06/1.26 ((cell36 = cell99) <=> (cell36 = Y!0)),
% 1.06/1.26 inference(monotonicity,[status(thm)],[5165])).
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% 1.06/1.26 ((cell36 = cell99) <=> (Y!0 = cell36)),
% 1.06/1.26 inference(transitivity,[status(thm)],[5353, 2765])).
% 1.06/1.26 tff(5355,plain,
% 1.06/1.26 ((~(cell36 = cell99)) <=> (~(Y!0 = cell36))),
% 1.06/1.26 inference(monotonicity,[status(thm)],[5354])).
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% 1.06/1.26 inference(modus_ponens,[status(thm)],[4441, 5355])).
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% 1.06/1.26 inference(unit_resolution,[status(thm)],[2773, 5356])).
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% 1.06/1.26 ((cell37 = cell99) <=> (cell37 = Y!0)),
% 1.06/1.26 inference(monotonicity,[status(thm)],[5165])).
% 1.06/1.26 tff(5359,plain,
% 1.06/1.26 ((cell37 = cell99) <=> (Y!0 = cell37)),
% 1.06/1.26 inference(transitivity,[status(thm)],[5358, 2775])).
% 1.06/1.26 tff(5360,plain,
% 1.06/1.26 ((~(cell37 = cell99)) <=> (~(Y!0 = cell37))),
% 1.06/1.26 inference(monotonicity,[status(thm)],[5359])).
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% 1.06/1.26 inference(modus_ponens,[status(thm)],[4449, 5360])).
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% 1.06/1.26 inference(unit_resolution,[status(thm)],[2783, 5361])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5165])).
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% 1.06/1.26 inference(transitivity,[status(thm)],[5363, 2785])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5364])).
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% 1.06/1.26 inference(modus_ponens,[status(thm)],[4457, 5365])).
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% 1.06/1.26 inference(unit_resolution,[status(thm)],[2793, 5366])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5165])).
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% 1.06/1.26 inference(transitivity,[status(thm)],[5368, 2795])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5369])).
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% 1.06/1.26 inference(modus_ponens,[status(thm)],[4465, 5370])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5165])).
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% 1.06/1.26 inference(transitivity,[status(thm)],[5373, 2805])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5374])).
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% 1.06/1.26 inference(modus_ponens,[status(thm)],[4473, 5375])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5379])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5384])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5389])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5394])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5399])).
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% 1.06/1.26 inference(modus_ponens,[status(thm)],[4513, 5400])).
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% 1.06/1.26 inference(modus_ponens,[status(thm)],[4521, 5405])).
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% 1.06/1.26 inference(transitivity,[status(thm)],[5408, 2875])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5409])).
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% 1.06/1.26 inference(modus_ponens,[status(thm)],[4529, 5410])).
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% 1.06/1.26 inference(unit_resolution,[status(thm)],[2883, 5411])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5165])).
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% 1.06/1.26 inference(transitivity,[status(thm)],[5413, 2885])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5414])).
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% 1.06/1.26 inference(modus_ponens,[status(thm)],[4537, 5415])).
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% 1.06/1.26 inference(unit_resolution,[status(thm)],[2893, 5416])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5165])).
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% 1.06/1.26 inference(transitivity,[status(thm)],[5418, 2895])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5419])).
% 1.06/1.26 tff(5421,plain,
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% 1.06/1.26 inference(modus_ponens,[status(thm)],[4545, 5420])).
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% 1.06/1.26 inference(unit_resolution,[status(thm)],[2903, 5421])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5165])).
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% 1.06/1.26 inference(transitivity,[status(thm)],[5423, 2905])).
% 1.06/1.26 tff(5425,plain,
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5424])).
% 1.06/1.26 tff(5426,plain,
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% 1.06/1.26 inference(modus_ponens,[status(thm)],[4553, 5425])).
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% 1.06/1.26 inference(unit_resolution,[status(thm)],[2913, 5426])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5165])).
% 1.06/1.26 tff(5429,plain,
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% 1.06/1.26 inference(transitivity,[status(thm)],[5428, 2915])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5429])).
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% 1.06/1.26 inference(modus_ponens,[status(thm)],[4561, 5430])).
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% 1.06/1.26 inference(unit_resolution,[status(thm)],[2923, 5431])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5165])).
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% 1.06/1.26 inference(transitivity,[status(thm)],[5433, 2925])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5434])).
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% 1.06/1.26 inference(modus_ponens,[status(thm)],[4569, 5435])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5165])).
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% 1.06/1.26 inference(transitivity,[status(thm)],[5438, 2935])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5439])).
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% 1.06/1.26 inference(transitivity,[status(thm)],[5443, 2945])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5444])).
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% 1.06/1.26 inference(modus_ponens,[status(thm)],[4585, 5445])).
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% 1.06/1.26 inference(unit_resolution,[status(thm)],[2953, 5446])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5165])).
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% 1.06/1.26 inference(transitivity,[status(thm)],[5448, 2955])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5449])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5454])).
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% 1.06/1.26 inference(transitivity,[status(thm)],[5458, 2975])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5459])).
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% 1.06/1.26 inference(transitivity,[status(thm)],[5463, 2985])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5464])).
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% 1.06/1.26 inference(modus_ponens,[status(thm)],[4617, 5465])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5165])).
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% 1.06/1.26 inference(transitivity,[status(thm)],[5468, 2995])).
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% 1.06/1.26 inference(monotonicity,[status(thm)],[5469])).
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% 1.06/1.27 inference(transitivity,[status(thm)],[5563, 3183])).
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% 1.06/1.27 inference(monotonicity,[status(thm)],[5564])).
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% 1.06/1.27 inference(transitivity,[status(thm)],[5573, 3203])).
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% 1.06/1.27 inference(monotonicity,[status(thm)],[5574])).
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% 1.06/1.27 inference(transitivity,[status(thm)],[5583, 3223])).
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% 1.10/1.28 ((~(X!1 = cell86)) | (~(Y!0 = cell96))),
% 1.10/1.28 inference(unit_resolution,[status(thm)],[3550, 5199])).
% 1.10/1.28 tff(5891,assumption,(patient(cell100)), introduced(assumption)).
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% 1.10/1.28 ((~(cell100 = cell11)) <=> (~(cell100 = cell11))),
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% 1.10/1.28 tff(5893,axiom,(~(cell100 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45076')).
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% 1.10/1.28 inference(modus_ponens,[status(thm)],[5893, 5892])).
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% 1.10/1.28 ((~(cell100 = cell2)) <=> (~(cell100 = cell2))),
% 1.10/1.28 inference(rewrite,[status(thm)],[])).
% 1.10/1.28 tff(5896,axiom,(~(cell100 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45077')).
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% 1.10/1.28 (~(cell100 = cell2)),
% 1.10/1.28 inference(modus_ponens,[status(thm)],[5896, 5895])).
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% 1.10/1.28 ($false),
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% 1.10/1.28 tff(5906,plain,
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% 1.10/1.28 inference(monotonicity,[status(thm)],[5909])).
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% 1.10/1.28 inference(transitivity,[status(thm)],[5910, 5908])).
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% 1.10/1.28 inference(quant_inst,[status(thm)],[])).
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% 1.10/1.28 inference(modus_ponens,[status(thm)],[5912, 5911])).
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% 1.10/1.28 ($false),
% 1.10/1.28 inference(unit_resolution,[status(thm)],[5913, 5907, 23, 5894, 5891])).
% 1.10/1.28 tff(5915,plain,((~patient(cell100)) | patient(cell13) | patient(cell12) | patient(cell22)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.28 tff(5916,plain,
% 1.10/1.28 (~patient(cell100)),
% 1.10/1.28 inference(unit_resolution,[status(thm)],[5915, 5153, 2387, 2388])).
% 1.10/1.28 tff(5917,assumption,(X!1 = cell100), introduced(assumption)).
% 1.10/1.28 tff(5918,plain,
% 1.10/1.28 (cell100 = X!1),
% 1.10/1.28 inference(symmetry,[status(thm)],[5917])).
% 1.10/1.28 tff(5919,plain,
% 1.10/1.28 (patient(cell100) <=> patient(X!1)),
% 1.10/1.28 inference(monotonicity,[status(thm)],[5918])).
% 1.10/1.28 tff(5920,plain,
% 1.10/1.28 (patient(X!1) <=> patient(cell100)),
% 1.10/1.28 inference(symmetry,[status(thm)],[5919])).
% 1.10/1.28 tff(5921,plain,
% 1.10/1.28 (patient(cell100)),
% 1.10/1.28 inference(modus_ponens,[status(thm)],[10, 5920])).
% 1.10/1.28 tff(5922,assumption,(~patient(cell100)), introduced(assumption)).
% 1.10/1.28 tff(5923,plain,
% 1.10/1.28 ($false),
% 1.10/1.28 inference(unit_resolution,[status(thm)],[5922, 5921])).
% 1.10/1.28 tff(5924,plain,(patient(cell100) | (~(X!1 = cell100))), inference(lemma,lemma(discharge,[]))).
% 1.10/1.28 tff(5925,plain,
% 1.10/1.28 (~(X!1 = cell100)),
% 1.10/1.28 inference(unit_resolution,[status(thm)],[5924, 5916])).
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% 1.10/1.28 inference(unit_resolution,[status(thm)],[1325, 5925])).
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% 1.10/1.28 ((cell1 = cell99) <=> (cell1 = Y!0)),
% 1.10/1.28 inference(monotonicity,[status(thm)],[5165])).
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% 1.10/1.28 inference(transitivity,[status(thm)],[5927, 2080])).
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% 1.10/1.28 inference(unit_resolution,[status(thm)],[2155, 5931, 1965, 1809, 1972, 1971, 1970, 1969, 1968, 1967, 1966, 1889, 1964, 1963, 1962, 1961, 1960, 1959, 1958, 1957, 1956, 1955, 1954, 1953, 1952, 1951, 1950, 1949, 1948, 1947, 1946, 1945, 1944, 1943, 1942, 1941, 1940, 1939, 1938, 1937, 1936, 1935, 1934, 1933, 1932, 1931, 1930, 1929, 1928, 1927, 1926, 1925, 1924, 1923, 1922, 1921, 1920, 1919, 1918, 1917, 1916, 1915, 1914, 1913, 1912, 1911, 1910, 1909, 2087, 1908, 1907, 1906, 1905, 1904, 1903, 1902, 1901, 1900, 1899, 1898, 1897, 1896, 1895, 1894, 1893, 1892, 1891, 2086, 1890, 1888, 1887, 1886, 1885, 1884, 1883, 1882, 1881, 1880, 1879, 1808, 1877, 1876, 1875, 1874, 1873, 1872, 1871, 1870, 1869, 1868, 1867, 1866, 1865, 1864, 1863, 1862, 1861, 1860, 1859, 1858, 1857, 1856, 1855, 1854, 1853, 1852, 1851, 1850, 1849, 1848, 1847, 1846, 1845, 1844, 1843, 1842, 1841, 1840, 1839, 1838, 1837, 1836, 1835, 1834, 1833, 1832, 1831, 1830, 1829, 1828, 1827, 2085, 1826, 1825, 1824, 1823, 1822, 1821, 1820, 1819, 2084, 1818, 1817, 1816, 1815, 1814, 1813, 1812, 1811, 1810, 1973, 1878, 1807, 1806, 1805, 1804, 1803, 1802, 1801, 1800, 1974])).
% 1.10/1.28 tff(5933,plain,
% 1.10/1.28 (~edge(Y!0, X!1)),
% 1.10/1.28 inference(unit_resolution,[status(thm)],[2153, 5932])).
% 1.10/1.28 tff(5934,plain,
% 1.10/1.28 ((cell21 = cell99) <=> (cell21 = Y!0)),
% 1.10/1.28 inference(monotonicity,[status(thm)],[5165])).
% 1.10/1.28 tff(5935,plain,
% 1.10/1.28 ((cell21 = cell99) <=> (Y!0 = cell21)),
% 1.10/1.28 inference(transitivity,[status(thm)],[5934, 2109])).
% 1.10/1.28 tff(5936,plain,
% 1.10/1.28 ((~(cell21 = cell99)) <=> (~(Y!0 = cell21))),
% 1.10/1.28 inference(monotonicity,[status(thm)],[5935])).
% 1.10/1.28 tff(5937,plain,
% 1.10/1.28 (~(Y!0 = cell21)),
% 1.10/1.28 inference(modus_ponens,[status(thm)],[4303, 5936])).
% 1.10/1.28 tff(5938,plain,
% 1.10/1.28 ((~(X!1 = cell11)) | (~(Y!0 = cell21))),
% 1.10/1.28 inference(unit_resolution,[status(thm)],[2117, 5937])).
% 1.10/1.28 tff(5939,plain,
% 1.10/1.28 ((cell99 = cell12) <=> (Y!0 = cell12)),
% 1.10/1.28 inference(monotonicity,[status(thm)],[5165])).
% 1.10/1.28 tff(5940,plain,
% 1.10/1.28 ((~(cell99 = cell12)) <=> (~(Y!0 = cell12))),
% 1.10/1.28 inference(monotonicity,[status(thm)],[5939])).
% 1.10/1.28 tff(5941,plain,
% 1.10/1.28 (~(Y!0 = cell12)),
% 1.10/1.28 inference(modus_ponens,[status(thm)],[2186, 5940])).
% 1.10/1.28 tff(5942,plain,
% 1.10/1.28 ((~(X!1 = cell11)) | (~(Y!0 = cell12))),
% 1.10/1.29 inference(unit_resolution,[status(thm)],[2119, 5941])).
% 1.10/1.29 tff(5943,plain,
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| (~(Y!0 = cell4)))) | (~((~(X!1 = cell2)) | (~(Y!0 = cell3)))) | (~((~(X!1 = cell1)) | (~(Y!0 = cell2)))))),
% 1.10/1.29 inference(unit_resolution,[status(thm)],[2121, 5942, 1721, 1709, 1519, 1788, 1794, 1793, 1792, 1791, 1521, 1722, 1699, 1787, 1786, 1785, 1784, 1783, 1782, 1781, 1780, 1797, 1778, 1777, 1776, 1775, 1774, 1773, 1772, 1771, 1770, 1769, 1768, 1767, 1766, 1765, 1764, 1763, 1762, 1761, 1760, 1759, 1758, 1757, 1756, 1755, 1754, 1753, 1752, 1751, 1750, 1749, 1748, 1747, 1746, 1745, 1744, 1743, 1742, 1741, 1740, 1739, 1738, 1737, 1736, 1735, 1734, 1733, 1732, 1731, 1730, 1729, 1728, 1727, 1726, 1725, 1724, 1987, 2107, 1723, 1720, 1719, 1718, 1717, 1716, 1715, 1714, 1713, 1795, 1711, 1710, 1790, 1708, 1707, 1706, 1705, 1704, 1703, 1702, 1701, 1700, 1789, 1698, 1697, 1696, 1695, 1694, 1693, 1692, 1691, 1690, 1689, 1688, 1687, 1686, 1685, 1684, 1683, 1682, 1681, 1680, 1679, 1678, 1677, 1676, 1675, 1674, 1673, 1672, 1671, 1670, 1669, 1668, 1667, 1666, 1665, 1664, 1663, 1662, 1661, 1660, 1659, 1658, 1657, 1656, 1655, 1654, 1653, 1652, 1651, 1650, 1649, 1648, 1647, 1646, 1645, 1644, 1643, 1642, 1641, 1640, 2106, 1639, 1638, 1637, 1636, 1635, 1634, 2105, 1530, 1529, 1528, 1527, 1526, 1525, 1524, 1523, 1522, 1796, 1520, 5938])).
% 1.10/1.29 tff(5944,plain,
% 1.10/1.29 (~edge(X!1, Y!0)),
% 1.10/1.29 inference(unit_resolution,[status(thm)],[2125, 5943, 2104])).
% 1.10/1.29 tff(5945,plain,
% 1.10/1.29 ($false),
% 1.10/1.29 inference(unit_resolution,[status(thm)],[2141, 5944, 5933])).
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% 1.10/1.30 tff(5947,plain,
% 1.10/1.30 (~((~(X!1 = cell98)) | (~(Y!0 = cell99)))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[5946, 5926, 5165, 5890, 5889, 5888, 5887, 5886, 5885, 5884, 5883, 5882, 5881, 5880, 5879, 5878, 5877, 5876, 5875, 5874, 5873, 5872, 5871, 5870, 5869, 5868, 5867, 5866, 5865, 5864, 5863, 5862, 5861, 5860, 5859, 5858, 5857, 5856, 5855, 5854, 5853, 5852, 5851, 5850, 5849, 5848, 5847, 5846, 5845, 5844, 5843, 5842, 5841, 5840, 5839, 5838, 5837, 5836, 5835, 5834, 5833, 5832, 5831, 5830, 5829, 5828, 5827, 5826, 5825, 5824, 5823, 5822, 5821, 5820, 5819, 5818, 5817, 5816, 3943, 5815, 5814, 5813, 5812, 5811, 5810, 5809, 5808, 1795, 5807, 5806, 5805, 5804, 5803, 5802, 5801, 5800, 5799, 5798, 3942, 5797, 5796, 5795, 5794, 5793, 5792, 5791, 5790, 5789, 5788, 5787, 5786, 5785, 5784, 5783, 5782, 5781, 5780, 5779, 5778, 5777, 5776, 5775, 5774, 5773, 5772, 5771, 5770, 5769, 5768, 5767, 5766, 5765, 5764, 5763, 5762, 5761, 5760, 5759, 5758, 5757, 5756, 5755, 5754, 5753, 5752, 5751, 5750, 5749, 5748, 5747, 5746, 5745, 5744, 5743, 5742, 5741, 5740, 5739, 5738, 5737, 5736, 5735, 5734, 5733, 5732, 5731, 5730, 5729, 5728, 5727, 5722, 5721, 5720, 5719, 5718, 5717, 5716, 5715, 5714, 5713, 5708, 5707, 5706, 5705, 5704, 5703, 5702, 5701, 5696, 5695, 5694, 5693, 5692, 5691, 5690, 5689, 5688, 5687, 5682, 5681, 5680, 5679, 5678, 5677, 5676, 5675, 5674, 5673, 5668, 5667, 5666, 5665, 5664, 5663, 5662, 5661, 5660, 5659, 5654, 5653, 5652, 5651, 5650, 5649, 5648, 5647, 5646, 5645, 5640, 5639, 5638, 5637, 5636, 5635, 5634, 5633, 5632, 5631, 5626, 5625, 5624, 5623, 5622, 5621, 5620, 5619, 1908, 5618, 5613, 5612, 5611, 5610, 5609, 5608, 5607, 1899, 5606, 5605, 5600, 5599, 5598, 5597, 5596, 5595, 5594, 5593, 3307, 5592, 3296, 5587, 5582, 5577, 5572, 5567, 5562, 5557, 5552, 5547, 5542, 5537, 5532, 5527, 5522, 5517, 5512, 5507, 5502, 5497, 5492, 5487, 5482, 5477, 5472, 5467, 5462, 5457, 5452, 5447, 5442, 5437, 5432, 5427, 5422, 5417, 5412, 5407, 5402, 5397, 5392, 5387, 5382, 5377, 5372, 5367, 5362, 5357, 5352, 5347, 5342, 5337, 5332, 5327, 5322, 5317, 5312, 5307, 5302, 5297, 5292, 1826, 5288, 5283, 5278, 5273, 5268, 5263, 5258, 2084, 5254, 5250, 5245, 5240, 5235, 5230, 5225, 5220, 5215, 1973, 5211, 5206, 5205, 5200, 5195, 5190, 5185, 5180, 5175, 5170])).
% 1.10/1.30 tff(5948,plain,
% 1.10/1.30 (X!1 = cell98),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[1183, 5947])).
% 1.10/1.30 tff(5949,plain,
% 1.10/1.30 (cell98 = cell2),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[5948, 5164])).
% 1.10/1.30 tff(5950,plain,
% 1.10/1.30 ((~(cell98 = cell2)) <=> (~(cell98 = cell2))),
% 1.10/1.30 inference(rewrite,[status(thm)],[])).
% 1.10/1.30 tff(5951,axiom,(~(cell98 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45175')).
% 1.10/1.30 tff(5952,plain,
% 1.10/1.30 (~(cell98 = cell2)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[5951, 5950])).
% 1.10/1.30 tff(5953,plain,
% 1.10/1.30 ($false),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[5952, 5949])).
% 1.10/1.30 tff(5954,plain,(patient(cell22) | (~(cell99 = Y!0)) | (~((~(X!1 = cell2)) | (~(Y!0 = cell12)))) | (~((~(Y!0 = cell21)) | (~(X!1 = cell31)))) | (~((~(Y!0 = cell12)) | (~(X!1 = cell22)))) | (~((~(Y!0 = cell21)) | (~(X!1 = cell22)))) | (~((~(Y!0 = cell12)) | (~(X!1 = cell13)))) | (~((~(Y!0 = cell1)) | (~(X!1 = cell2)))) | patient(cell13) | patient(cell12) | patient(cell11)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.30 tff(5955,plain,
% 1.10/1.30 (patient(cell22)),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[5954, 4083, 5068, 4853, 4837, 4338, 4247, 4177, 2388, 2387, 3904])).
% 1.10/1.30 tff(5956,plain,
% 1.10/1.30 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((~patient(X!1)) | (cell22 = X!1) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (~patient(X!1)) | (cell22 = X!1) | (~patient(cell22)))),
% 1.10/1.30 inference(rewrite,[status(thm)],[])).
% 1.10/1.30 tff(5957,plain,
% 1.10/1.30 (((cell22 = X!1) | (~patient(cell22)) | (~patient(X!1))) <=> ((~patient(X!1)) | (cell22 = X!1) | (~patient(cell22)))),
% 1.10/1.30 inference(rewrite,[status(thm)],[])).
% 1.10/1.30 tff(5958,plain,
% 1.10/1.30 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell22 = X!1) | (~patient(cell22)) | (~patient(X!1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((~patient(X!1)) | (cell22 = X!1) | (~patient(cell22))))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5957])).
% 1.10/1.30 tff(5959,plain,
% 1.10/1.30 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell22 = X!1) | (~patient(cell22)) | (~patient(X!1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (~patient(X!1)) | (cell22 = X!1) | (~patient(cell22)))),
% 1.10/1.30 inference(transitivity,[status(thm)],[5958, 5956])).
% 1.10/1.30 tff(5960,plain,
% 1.10/1.30 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell22 = X!1) | (~patient(cell22)) | (~patient(X!1)))),
% 1.10/1.30 inference(quant_inst,[status(thm)],[])).
% 1.10/1.30 tff(5961,plain,
% 1.10/1.30 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (~patient(X!1)) | (cell22 = X!1) | (~patient(cell22))),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[5960, 5959])).
% 1.10/1.30 tff(5962,plain,
% 1.10/1.30 (cell22 = X!1),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[5961, 5955, 23, 10])).
% 1.10/1.30 tff(5963,plain,
% 1.10/1.30 ((cell100 = cell22) <=> (cell100 = X!1)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5962])).
% 1.10/1.30 tff(5964,plain,
% 1.10/1.30 ((cell100 = cell22) <=> (X!1 = cell100)),
% 1.10/1.30 inference(transitivity,[status(thm)],[5963, 235])).
% 1.10/1.30 tff(5965,plain,
% 1.10/1.30 ((~(cell100 = cell22)) <=> (~(X!1 = cell100))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5964])).
% 1.10/1.30 tff(5966,plain,
% 1.10/1.30 ((~(cell100 = cell22)) <=> (~(cell100 = cell22))),
% 1.10/1.30 inference(rewrite,[status(thm)],[])).
% 1.10/1.30 tff(5967,axiom,(~(cell100 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45079')).
% 1.10/1.30 tff(5968,plain,
% 1.10/1.30 (~(cell100 = cell22)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[5967, 5966])).
% 1.10/1.30 tff(5969,plain,
% 1.10/1.30 (~(X!1 = cell100)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[5968, 5965])).
% 1.10/1.30 tff(5970,plain,
% 1.10/1.30 ((~(X!1 = cell100)) | (~(Y!0 = cell99))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[1325, 5969])).
% 1.10/1.30 tff(5971,plain,
% 1.10/1.30 ((cell98 = cell22) <=> (cell98 = X!1)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5962])).
% 1.10/1.30 tff(5972,plain,
% 1.10/1.30 ((cell98 = cell22) <=> (X!1 = cell98)),
% 1.10/1.30 inference(transitivity,[status(thm)],[5971, 215])).
% 1.10/1.30 tff(5973,plain,
% 1.10/1.30 ((~(cell98 = cell22)) <=> (~(X!1 = cell98))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5972])).
% 1.10/1.30 tff(5974,plain,
% 1.10/1.30 ((~(cell98 = cell22)) <=> (~(cell98 = cell22))),
% 1.10/1.30 inference(rewrite,[status(thm)],[])).
% 1.10/1.30 tff(5975,axiom,(~(cell98 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45177')).
% 1.10/1.30 tff(5976,plain,
% 1.10/1.30 (~(cell98 = cell22)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[5975, 5974])).
% 1.10/1.30 tff(5977,plain,
% 1.10/1.30 (~(X!1 = cell98)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[5976, 5973])).
% 1.10/1.30 tff(5978,plain,
% 1.10/1.30 ((~(X!1 = cell98)) | (~(Y!0 = cell99))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[1183, 5977])).
% 1.10/1.30 tff(5979,plain,
% 1.10/1.30 ($false),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[5946, 5978, 5970, 4083, 5152, 5151, 5150, 5149, 5148, 5147, 5146, 5145, 5144, 5143, 5142, 5141, 5140, 5139, 5138, 5137, 5136, 5135, 5133, 5132, 5131, 5130, 5129, 5128, 5127, 5126, 5125, 5124, 5123, 5122, 5121, 5120, 5119, 5118, 5117, 5116, 5115, 5114, 5113, 5112, 5111, 5110, 5109, 5108, 5107, 5106, 5105, 5104, 5103, 5102, 5101, 5100, 5099, 5098, 5097, 5096, 5095, 5094, 5093, 5092, 5091, 5090, 5089, 5088, 5087, 5086, 5085, 5084, 5083, 5082, 5081, 5080, 5079, 5078, 5077, 3943, 5076, 5075, 5074, 5073, 5072, 5071, 5070, 5069, 5068, 5067, 5066, 5065, 5064, 5063, 5062, 5061, 5060, 5059, 5058, 3942, 5057, 5056, 5055, 5054, 5053, 5052, 5051, 5050, 5049, 5048, 5046, 5045, 5044, 5043, 5042, 5041, 5040, 5039, 5038, 5037, 5036, 5035, 5034, 5033, 5032, 5031, 5030, 5029, 5028, 5027, 5026, 5025, 5024, 5023, 5022, 5021, 5020, 5019, 5018, 5017, 5016, 5015, 5014, 5013, 5012, 5011, 5010, 5009, 5008, 5007, 5006, 5005, 5004, 5003, 5002, 5001, 5000, 4999, 4998, 4997, 4996, 4995, 4994, 4993, 4992, 4991, 4990, 4989, 4988, 4987, 4986, 4978, 4977, 4976, 4975, 4974, 4973, 4972, 4971, 4970, 4969, 4961, 4960, 4959, 4958, 4957, 4956, 4955, 4954, 4946, 4945, 4944, 4943, 4942, 4941, 4940, 4939, 4938, 4937, 4929, 4928, 4927, 4926, 4925, 4924, 4923, 4922, 4921, 4920, 4912, 4911, 4910, 4909, 4908, 4907, 4906, 4905, 4904, 4903, 4895, 4894, 4893, 4892, 4891, 4890, 4889, 4888, 4887, 4886, 4878, 4877, 4876, 4875, 4874, 4873, 4872, 4871, 4870, 4869, 4861, 4860, 4859, 4858, 4857, 4856, 4855, 4854, 4853, 4852, 4844, 4843, 4842, 4841, 4840, 4839, 4838, 4837, 4836, 4835, 4827, 4826, 4825, 4824, 4823, 4822, 4821, 4820, 3307, 4819, 3296, 4811, 4803, 4795, 4787, 4779, 4771, 4763, 4755, 4747, 4739, 4731, 4723, 4715, 4707, 4699, 4691, 4683, 4675, 4667, 4659, 4651, 4643, 4635, 4627, 4619, 4611, 4603, 4595, 4587, 4579, 4571, 4563, 4555, 4547, 4539, 4531, 4523, 4515, 4507, 4499, 4491, 4483, 4475, 4467, 4459, 4451, 4443, 4435, 4427, 4419, 4411, 4403, 4395, 4387, 4379, 4371, 4363, 4355, 4347, 4342, 4338, 4296, 4288, 4280, 4272, 4264, 4256, 4251, 4247, 4244, 4237, 4229, 4221, 4213, 4205, 4197, 4189, 4184, 4177, 4154, 4148, 4147, 4139, 4131, 4123, 4115, 4107, 4099, 4091])).
% 1.10/1.30 tff(5980,plain,(oxygen(cell90) | patient(cell13) | patient(cell12) | patient(cell11) | oxygen(cell89) | oxygen(cell79) | oxygen(cell88)), inference(lemma,lemma(discharge,[]))).
% 1.10/1.30 tff(5981,plain,
% 1.10/1.30 (oxygen(cell90)),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[5980, 3904, 2387, 2388, 2187, 1531, 1976])).
% 1.10/1.30 tff(5982,plain,
% 1.10/1.30 (cell90 = Y!0),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[1590, 5981])).
% 1.10/1.30 tff(5983,plain,
% 1.10/1.30 ((cell90 = cell99) <=> (Y!0 = cell99)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(5984,plain,
% 1.10/1.30 ((~(cell90 = cell99)) <=> (~(Y!0 = cell99))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5983])).
% 1.10/1.30 tff(5985,plain,
% 1.10/1.30 (~(Y!0 = cell99)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[4753, 5984])).
% 1.10/1.30 tff(5986,plain,
% 1.10/1.30 ((~(X!1 = cell100)) | (~(Y!0 = cell99))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[3161, 5985])).
% 1.10/1.30 tff(5987,plain,
% 1.10/1.30 ((cell90 = cell2) <=> (Y!0 = cell2)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(5988,plain,
% 1.10/1.30 ((~(cell90 = cell2)) <=> (~(Y!0 = cell2))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5987])).
% 1.10/1.30 tff(5989,plain,
% 1.10/1.30 ((~(cell90 = cell2)) <=> (~(cell90 = cell2))),
% 1.10/1.30 inference(rewrite,[status(thm)],[])).
% 1.10/1.30 tff(5990,axiom,(~(cell90 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49913')).
% 1.10/1.30 tff(5991,plain,
% 1.10/1.30 (~(cell90 = cell2)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[5990, 5989])).
% 1.10/1.30 tff(5992,plain,
% 1.10/1.30 (~(Y!0 = cell2)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[5991, 5988])).
% 1.10/1.30 tff(5993,plain,
% 1.10/1.30 ((~(X!1 = cell1)) | (~(Y!0 = cell2))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[3552, 5992])).
% 1.10/1.30 tff(5994,plain,
% 1.10/1.30 ((cell3 = cell90) <=> (cell3 = Y!0)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(5995,plain,
% 1.10/1.30 ((cell3 = cell90) <=> (Y!0 = cell3)),
% 1.10/1.30 inference(transitivity,[status(thm)],[5994, 1975])).
% 1.10/1.30 tff(5996,plain,
% 1.10/1.30 ((~(cell3 = cell90)) <=> (~(Y!0 = cell3))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5995])).
% 1.10/1.30 tff(5997,plain,
% 1.10/1.30 (~(Y!0 = cell3)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[1993, 5996])).
% 1.10/1.30 tff(5998,plain,
% 1.10/1.30 ((~(X!1 = cell2)) | (~(Y!0 = cell3))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[3554, 5997])).
% 1.10/1.30 tff(5999,plain,
% 1.10/1.30 ((cell4 = cell90) <=> (cell4 = Y!0)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(6000,plain,
% 1.10/1.30 ((cell4 = cell90) <=> (Y!0 = cell4)),
% 1.10/1.30 inference(transitivity,[status(thm)],[5999, 2503])).
% 1.10/1.30 tff(6001,plain,
% 1.10/1.30 ((~(cell4 = cell90)) <=> (~(Y!0 = cell4))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[6000])).
% 1.10/1.30 tff(6002,plain,
% 1.10/1.30 ((~(cell4 = cell90)) <=> (~(cell4 = cell90))),
% 1.10/1.30 inference(rewrite,[status(thm)],[])).
% 1.10/1.30 tff(6003,axiom,(~(cell4 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49858')).
% 1.10/1.30 tff(6004,plain,
% 1.10/1.30 (~(cell4 = cell90)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6003, 6002])).
% 1.10/1.30 tff(6005,plain,
% 1.10/1.30 (~(Y!0 = cell4)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6004, 6001])).
% 1.10/1.30 tff(6006,plain,
% 1.10/1.30 ((~(X!1 = cell3)) | (~(Y!0 = cell4))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[3556, 6005])).
% 1.10/1.30 tff(6007,plain,
% 1.10/1.30 ((cell5 = cell90) <=> (cell5 = Y!0)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(6008,plain,
% 1.10/1.30 ((cell5 = cell90) <=> (Y!0 = cell5)),
% 1.10/1.30 inference(transitivity,[status(thm)],[6007, 2513])).
% 1.10/1.30 tff(6009,plain,
% 1.10/1.30 ((~(cell5 = cell90)) <=> (~(Y!0 = cell5))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[6008])).
% 1.10/1.30 tff(6010,plain,
% 1.10/1.30 ((~(cell5 = cell90)) <=> (~(cell5 = cell90))),
% 1.10/1.30 inference(rewrite,[status(thm)],[])).
% 1.10/1.30 tff(6011,axiom,(~(cell5 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49846')).
% 1.10/1.30 tff(6012,plain,
% 1.10/1.30 (~(cell5 = cell90)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6011, 6010])).
% 1.10/1.30 tff(6013,plain,
% 1.10/1.30 (~(Y!0 = cell5)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6012, 6009])).
% 1.10/1.30 tff(6014,plain,
% 1.10/1.30 ((~(X!1 = cell4)) | (~(Y!0 = cell5))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[3558, 6013])).
% 1.10/1.30 tff(6015,plain,
% 1.10/1.30 ((cell6 = cell90) <=> (cell6 = Y!0)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(6016,plain,
% 1.10/1.30 ((cell6 = cell90) <=> (Y!0 = cell6)),
% 1.10/1.30 inference(transitivity,[status(thm)],[6015, 2523])).
% 1.10/1.30 tff(6017,plain,
% 1.10/1.30 ((~(cell6 = cell90)) <=> (~(Y!0 = cell6))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[6016])).
% 1.10/1.30 tff(6018,plain,
% 1.10/1.30 ((~(cell6 = cell90)) <=> (~(cell6 = cell90))),
% 1.10/1.30 inference(rewrite,[status(thm)],[])).
% 1.10/1.30 tff(6019,axiom,(~(cell6 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49833')).
% 1.10/1.30 tff(6020,plain,
% 1.10/1.30 (~(cell6 = cell90)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6019, 6018])).
% 1.10/1.30 tff(6021,plain,
% 1.10/1.30 (~(Y!0 = cell6)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6020, 6017])).
% 1.10/1.30 tff(6022,plain,
% 1.10/1.30 ((~(X!1 = cell5)) | (~(Y!0 = cell6))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[3560, 6021])).
% 1.10/1.30 tff(6023,plain,
% 1.10/1.30 ((cell7 = cell90) <=> (cell7 = Y!0)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(6024,plain,
% 1.10/1.30 ((cell7 = cell90) <=> (Y!0 = cell7)),
% 1.10/1.30 inference(transitivity,[status(thm)],[6023, 2533])).
% 1.10/1.30 tff(6025,plain,
% 1.10/1.30 ((~(cell7 = cell90)) <=> (~(Y!0 = cell7))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[6024])).
% 1.10/1.30 tff(6026,plain,
% 1.10/1.30 ((~(cell7 = cell90)) <=> (~(cell7 = cell90))),
% 1.10/1.30 inference(rewrite,[status(thm)],[])).
% 1.10/1.30 tff(6027,axiom,(~(cell7 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49819')).
% 1.10/1.30 tff(6028,plain,
% 1.10/1.30 (~(cell7 = cell90)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6027, 6026])).
% 1.10/1.30 tff(6029,plain,
% 1.10/1.30 (~(Y!0 = cell7)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6028, 6025])).
% 1.10/1.30 tff(6030,plain,
% 1.10/1.30 ((~(X!1 = cell6)) | (~(Y!0 = cell7))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[3562, 6029])).
% 1.10/1.30 tff(6031,plain,
% 1.10/1.30 ((cell8 = cell90) <=> (cell8 = Y!0)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(6032,plain,
% 1.10/1.30 ((cell8 = cell90) <=> (Y!0 = cell8)),
% 1.10/1.30 inference(transitivity,[status(thm)],[6031, 2543])).
% 1.10/1.30 tff(6033,plain,
% 1.10/1.30 ((~(cell8 = cell90)) <=> (~(Y!0 = cell8))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[6032])).
% 1.10/1.30 tff(6034,plain,
% 1.10/1.30 ((~(cell8 = cell90)) <=> (~(cell8 = cell90))),
% 1.10/1.30 inference(rewrite,[status(thm)],[])).
% 1.10/1.30 tff(6035,axiom,(~(cell8 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49804')).
% 1.10/1.30 tff(6036,plain,
% 1.10/1.30 (~(cell8 = cell90)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6035, 6034])).
% 1.10/1.30 tff(6037,plain,
% 1.10/1.30 (~(Y!0 = cell8)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6036, 6033])).
% 1.10/1.30 tff(6038,plain,
% 1.10/1.30 ((~(X!1 = cell7)) | (~(Y!0 = cell8))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[3564, 6037])).
% 1.10/1.30 tff(6039,plain,
% 1.10/1.30 ((cell9 = cell90) <=> (cell9 = Y!0)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(6040,plain,
% 1.10/1.30 ((cell9 = cell90) <=> (Y!0 = cell9)),
% 1.10/1.30 inference(transitivity,[status(thm)],[6039, 2553])).
% 1.10/1.30 tff(6041,plain,
% 1.10/1.30 ((~(cell9 = cell90)) <=> (~(Y!0 = cell9))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[6040])).
% 1.10/1.30 tff(6042,plain,
% 1.10/1.30 ((~(cell9 = cell90)) <=> (~(cell9 = cell90))),
% 1.10/1.30 inference(rewrite,[status(thm)],[])).
% 1.10/1.30 tff(6043,axiom,(~(cell9 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49788')).
% 1.10/1.30 tff(6044,plain,
% 1.10/1.30 (~(cell9 = cell90)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6043, 6042])).
% 1.10/1.30 tff(6045,plain,
% 1.10/1.30 (~(Y!0 = cell9)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6044, 6041])).
% 1.10/1.30 tff(6046,plain,
% 1.10/1.30 ((~(X!1 = cell8)) | (~(Y!0 = cell9))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[3566, 6045])).
% 1.10/1.30 tff(6047,plain,
% 1.10/1.30 ((cell10 = cell90) <=> (cell10 = Y!0)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(6048,plain,
% 1.10/1.30 ((cell10 = cell90) <=> (Y!0 = cell10)),
% 1.10/1.30 inference(transitivity,[status(thm)],[6047, 3323])).
% 1.10/1.30 tff(6049,plain,
% 1.10/1.30 ((~(cell10 = cell90)) <=> (~(Y!0 = cell10))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[6048])).
% 1.10/1.30 tff(6050,plain,
% 1.10/1.30 ((~(cell10 = cell90)) <=> (~(cell10 = cell90))),
% 1.10/1.30 inference(rewrite,[status(thm)],[])).
% 1.10/1.30 tff(6051,axiom,(~(cell10 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49771')).
% 1.10/1.30 tff(6052,plain,
% 1.10/1.30 (~(cell10 = cell90)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6051, 6050])).
% 1.10/1.30 tff(6053,plain,
% 1.10/1.30 (~(Y!0 = cell10)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6052, 6049])).
% 1.10/1.30 tff(6054,plain,
% 1.10/1.30 ((~(X!1 = cell9)) | (~(Y!0 = cell10))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[3568, 6053])).
% 1.10/1.30 tff(6055,plain,
% 1.10/1.30 ((cell100 = cell90) <=> (cell100 = Y!0)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(6056,plain,
% 1.10/1.30 ((cell100 = cell90) <=> (Y!0 = cell100)),
% 1.10/1.30 inference(transitivity,[status(thm)],[6055, 3570])).
% 1.10/1.30 tff(6057,plain,
% 1.10/1.30 ((~(cell100 = cell90)) <=> (~(Y!0 = cell100))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[6056])).
% 1.10/1.30 tff(6058,plain,
% 1.10/1.30 ((~(cell100 = cell90)) <=> (~(cell100 = cell90))),
% 1.10/1.30 inference(rewrite,[status(thm)],[])).
% 1.10/1.30 tff(6059,axiom,(~(cell100 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45073')).
% 1.10/1.30 tff(6060,plain,
% 1.10/1.30 (~(cell100 = cell90)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6059, 6058])).
% 1.10/1.30 tff(6061,plain,
% 1.10/1.30 (~(Y!0 = cell100)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6060, 6057])).
% 1.10/1.30 tff(6062,plain,
% 1.10/1.30 ((~(X!1 = cell90)) | (~(Y!0 = cell100))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[3578, 6061])).
% 1.10/1.30 tff(6063,plain,
% 1.10/1.30 ((cell90 = cell13) <=> (Y!0 = cell13)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(6064,plain,
% 1.10/1.30 ((~(cell90 = cell13)) <=> (~(Y!0 = cell13))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[6063])).
% 1.10/1.30 tff(6065,plain,
% 1.10/1.30 (~(Y!0 = cell13)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[131, 6064])).
% 1.10/1.30 tff(6066,plain,
% 1.10/1.30 ((~(X!1 = cell12)) | (~(Y!0 = cell13))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[3580, 6065])).
% 1.10/1.30 tff(6067,plain,
% 1.10/1.30 ((cell14 = cell90) <=> (cell14 = Y!0)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(6068,plain,
% 1.10/1.30 ((cell14 = cell90) <=> (Y!0 = cell14)),
% 1.10/1.30 inference(transitivity,[status(thm)],[6067, 1798])).
% 1.10/1.30 tff(6069,plain,
% 1.10/1.30 ((~(cell14 = cell90)) <=> (~(Y!0 = cell14))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[6068])).
% 1.10/1.30 tff(6070,plain,
% 1.10/1.30 (~(Y!0 = cell14)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[1983, 6069])).
% 1.10/1.30 tff(6071,plain,
% 1.10/1.30 ((~(X!1 = cell13)) | (~(Y!0 = cell14))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[1985, 6070])).
% 1.10/1.30 tff(6072,plain,
% 1.10/1.30 ((cell15 = cell90) <=> (cell15 = Y!0)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(6073,plain,
% 1.10/1.30 ((cell15 = cell90) <=> (Y!0 = cell15)),
% 1.10/1.30 inference(transitivity,[status(thm)],[6072, 2586])).
% 1.10/1.30 tff(6074,plain,
% 1.10/1.30 ((~(cell15 = cell90)) <=> (~(Y!0 = cell15))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[6073])).
% 1.10/1.30 tff(6075,plain,
% 1.10/1.30 ((~(cell15 = cell90)) <=> (~(cell15 = cell90))),
% 1.10/1.30 inference(rewrite,[status(thm)],[])).
% 1.10/1.30 tff(6076,axiom,(~(cell15 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49734')).
% 1.10/1.30 tff(6077,plain,
% 1.10/1.30 (~(cell15 = cell90)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6076, 6075])).
% 1.10/1.30 tff(6078,plain,
% 1.10/1.30 (~(Y!0 = cell15)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6077, 6074])).
% 1.10/1.30 tff(6079,plain,
% 1.10/1.30 ((~(X!1 = cell14)) | (~(Y!0 = cell15))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[3583, 6078])).
% 1.10/1.30 tff(6080,plain,
% 1.10/1.30 ((cell16 = cell90) <=> (cell16 = Y!0)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(6081,plain,
% 1.10/1.30 ((cell16 = cell90) <=> (Y!0 = cell16)),
% 1.10/1.30 inference(transitivity,[status(thm)],[6080, 2596])).
% 1.10/1.30 tff(6082,plain,
% 1.10/1.30 ((~(cell16 = cell90)) <=> (~(Y!0 = cell16))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[6081])).
% 1.10/1.30 tff(6083,plain,
% 1.10/1.30 ((~(cell16 = cell90)) <=> (~(cell16 = cell90))),
% 1.10/1.30 inference(rewrite,[status(thm)],[])).
% 1.10/1.30 tff(6084,axiom,(~(cell16 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49714')).
% 1.10/1.30 tff(6085,plain,
% 1.10/1.30 (~(cell16 = cell90)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6084, 6083])).
% 1.10/1.30 tff(6086,plain,
% 1.10/1.30 (~(Y!0 = cell16)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6085, 6082])).
% 1.10/1.30 tff(6087,plain,
% 1.10/1.30 ((~(X!1 = cell15)) | (~(Y!0 = cell16))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[3585, 6086])).
% 1.10/1.30 tff(6088,plain,
% 1.10/1.30 ((cell17 = cell90) <=> (cell17 = Y!0)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(6089,plain,
% 1.10/1.30 ((cell17 = cell90) <=> (Y!0 = cell17)),
% 1.10/1.30 inference(transitivity,[status(thm)],[6088, 2606])).
% 1.10/1.30 tff(6090,plain,
% 1.10/1.30 ((~(cell17 = cell90)) <=> (~(Y!0 = cell17))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[6089])).
% 1.10/1.30 tff(6091,plain,
% 1.10/1.30 ((~(cell17 = cell90)) <=> (~(cell17 = cell90))),
% 1.10/1.30 inference(rewrite,[status(thm)],[])).
% 1.10/1.30 tff(6092,axiom,(~(cell17 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49693')).
% 1.10/1.30 tff(6093,plain,
% 1.10/1.30 (~(cell17 = cell90)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6092, 6091])).
% 1.10/1.30 tff(6094,plain,
% 1.10/1.30 (~(Y!0 = cell17)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6093, 6090])).
% 1.10/1.30 tff(6095,plain,
% 1.10/1.30 ((~(X!1 = cell16)) | (~(Y!0 = cell17))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[3587, 6094])).
% 1.10/1.30 tff(6096,plain,
% 1.10/1.30 ((cell18 = cell90) <=> (cell18 = Y!0)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(6097,plain,
% 1.10/1.30 ((cell18 = cell90) <=> (Y!0 = cell18)),
% 1.10/1.30 inference(transitivity,[status(thm)],[6096, 2616])).
% 1.10/1.30 tff(6098,plain,
% 1.10/1.30 ((~(cell18 = cell90)) <=> (~(Y!0 = cell18))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[6097])).
% 1.10/1.30 tff(6099,plain,
% 1.10/1.30 ((~(cell18 = cell90)) <=> (~(cell18 = cell90))),
% 1.10/1.30 inference(rewrite,[status(thm)],[])).
% 1.10/1.30 tff(6100,axiom,(~(cell18 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49671')).
% 1.10/1.30 tff(6101,plain,
% 1.10/1.30 (~(cell18 = cell90)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6100, 6099])).
% 1.10/1.30 tff(6102,plain,
% 1.10/1.30 (~(Y!0 = cell18)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6101, 6098])).
% 1.10/1.30 tff(6103,plain,
% 1.10/1.30 ((~(X!1 = cell17)) | (~(Y!0 = cell18))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[3589, 6102])).
% 1.10/1.30 tff(6104,plain,
% 1.10/1.30 ((cell19 = cell90) <=> (cell19 = Y!0)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(6105,plain,
% 1.10/1.30 ((cell19 = cell90) <=> (Y!0 = cell19)),
% 1.10/1.30 inference(transitivity,[status(thm)],[6104, 2626])).
% 1.10/1.30 tff(6106,plain,
% 1.10/1.30 ((~(cell19 = cell90)) <=> (~(Y!0 = cell19))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[6105])).
% 1.10/1.30 tff(6107,plain,
% 1.10/1.30 ((~(cell19 = cell90)) <=> (~(cell19 = cell90))),
% 1.10/1.30 inference(rewrite,[status(thm)],[])).
% 1.10/1.30 tff(6108,axiom,(~(cell19 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49648')).
% 1.10/1.30 tff(6109,plain,
% 1.10/1.30 (~(cell19 = cell90)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6108, 6107])).
% 1.10/1.30 tff(6110,plain,
% 1.10/1.30 (~(Y!0 = cell19)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6109, 6106])).
% 1.10/1.30 tff(6111,plain,
% 1.10/1.30 ((~(X!1 = cell18)) | (~(Y!0 = cell19))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[3591, 6110])).
% 1.10/1.30 tff(6112,plain,
% 1.10/1.30 ((cell20 = cell90) <=> (cell20 = Y!0)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(6113,plain,
% 1.10/1.30 ((cell20 = cell90) <=> (Y!0 = cell20)),
% 1.10/1.30 inference(transitivity,[status(thm)],[6112, 3351])).
% 1.10/1.30 tff(6114,plain,
% 1.10/1.30 ((~(cell20 = cell90)) <=> (~(Y!0 = cell20))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[6113])).
% 1.10/1.30 tff(6115,plain,
% 1.10/1.30 ((~(cell20 = cell90)) <=> (~(cell20 = cell90))),
% 1.10/1.30 inference(rewrite,[status(thm)],[])).
% 1.10/1.30 tff(6116,axiom,(~(cell20 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49624')).
% 1.10/1.30 tff(6117,plain,
% 1.10/1.30 (~(cell20 = cell90)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6116, 6115])).
% 1.10/1.30 tff(6118,plain,
% 1.10/1.30 (~(Y!0 = cell20)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6117, 6114])).
% 1.10/1.30 tff(6119,plain,
% 1.10/1.30 ((~(X!1 = cell19)) | (~(Y!0 = cell20))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[3593, 6118])).
% 1.10/1.30 tff(6120,plain,
% 1.10/1.30 ((cell90 = cell22) <=> (Y!0 = cell22)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(6121,plain,
% 1.10/1.30 ((~(cell90 = cell22)) <=> (~(Y!0 = cell22))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[6120])).
% 1.10/1.30 tff(6122,plain,
% 1.10/1.30 (~(Y!0 = cell22)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[2033, 6121])).
% 1.10/1.30 tff(6123,plain,
% 1.10/1.30 ((~(X!1 = cell21)) | (~(Y!0 = cell22))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[2072, 6122])).
% 1.10/1.30 tff(6124,plain,
% 1.10/1.30 ((cell23 = cell90) <=> (cell23 = Y!0)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(6125,plain,
% 1.10/1.30 ((cell23 = cell90) <=> (Y!0 = cell23)),
% 1.10/1.30 inference(transitivity,[status(thm)],[6124, 2357])).
% 1.10/1.30 tff(6126,plain,
% 1.10/1.30 ((~(cell23 = cell90)) <=> (~(Y!0 = cell23))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[6125])).
% 1.10/1.30 tff(6127,plain,
% 1.10/1.30 (~(Y!0 = cell23)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[1579, 6126])).
% 1.10/1.30 tff(6128,plain,
% 1.10/1.30 ((~(X!1 = cell22)) | (~(Y!0 = cell23))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[3596, 6127])).
% 1.10/1.30 tff(6129,plain,
% 1.10/1.30 ((cell24 = cell90) <=> (cell24 = Y!0)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(6130,plain,
% 1.10/1.30 ((cell24 = cell90) <=> (Y!0 = cell24)),
% 1.10/1.30 inference(transitivity,[status(thm)],[6129, 2655])).
% 1.10/1.30 tff(6131,plain,
% 1.10/1.30 ((~(cell24 = cell90)) <=> (~(Y!0 = cell24))),
% 1.10/1.30 inference(monotonicity,[status(thm)],[6130])).
% 1.10/1.30 tff(6132,plain,
% 1.10/1.30 ((~(cell24 = cell90)) <=> (~(cell24 = cell90))),
% 1.10/1.30 inference(rewrite,[status(thm)],[])).
% 1.10/1.30 tff(6133,axiom,(~(cell24 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49546')).
% 1.10/1.30 tff(6134,plain,
% 1.10/1.30 (~(cell24 = cell90)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6133, 6132])).
% 1.10/1.30 tff(6135,plain,
% 1.10/1.30 (~(Y!0 = cell24)),
% 1.10/1.30 inference(modus_ponens,[status(thm)],[6134, 6131])).
% 1.10/1.30 tff(6136,plain,
% 1.10/1.30 ((~(X!1 = cell23)) | (~(Y!0 = cell24))),
% 1.10/1.30 inference(unit_resolution,[status(thm)],[3598, 6135])).
% 1.10/1.30 tff(6137,plain,
% 1.10/1.30 ((cell25 = cell90) <=> (cell25 = Y!0)),
% 1.10/1.30 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.30 tff(6138,plain,
% 1.10/1.30 ((cell25 = cell90) <=> (Y!0 = cell25)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6137, 2665])).
% 1.10/1.31 tff(6139,plain,
% 1.10/1.31 ((~(cell25 = cell90)) <=> (~(Y!0 = cell25))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6138])).
% 1.10/1.31 tff(6140,plain,
% 1.10/1.31 ((~(cell25 = cell90)) <=> (~(cell25 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6141,axiom,(~(cell25 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49518')).
% 1.10/1.31 tff(6142,plain,
% 1.10/1.31 (~(cell25 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6141, 6140])).
% 1.10/1.31 tff(6143,plain,
% 1.10/1.31 (~(Y!0 = cell25)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6142, 6139])).
% 1.10/1.31 tff(6144,plain,
% 1.10/1.31 ((~(X!1 = cell24)) | (~(Y!0 = cell25))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3600, 6143])).
% 1.10/1.31 tff(6145,plain,
% 1.10/1.31 ((cell26 = cell90) <=> (cell26 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6146,plain,
% 1.10/1.31 ((cell26 = cell90) <=> (Y!0 = cell26)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6145, 2675])).
% 1.10/1.31 tff(6147,plain,
% 1.10/1.31 ((~(cell26 = cell90)) <=> (~(Y!0 = cell26))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6146])).
% 1.10/1.31 tff(6148,plain,
% 1.10/1.31 ((~(cell26 = cell90)) <=> (~(cell26 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6149,axiom,(~(cell26 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49489')).
% 1.10/1.31 tff(6150,plain,
% 1.10/1.31 (~(cell26 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6149, 6148])).
% 1.10/1.31 tff(6151,plain,
% 1.10/1.31 (~(Y!0 = cell26)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6150, 6147])).
% 1.10/1.31 tff(6152,plain,
% 1.10/1.31 ((~(X!1 = cell25)) | (~(Y!0 = cell26))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3602, 6151])).
% 1.10/1.31 tff(6153,plain,
% 1.10/1.31 ((cell27 = cell90) <=> (cell27 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6154,plain,
% 1.10/1.31 ((cell27 = cell90) <=> (Y!0 = cell27)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6153, 2685])).
% 1.10/1.31 tff(6155,plain,
% 1.10/1.31 ((~(cell27 = cell90)) <=> (~(Y!0 = cell27))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6154])).
% 1.10/1.31 tff(6156,plain,
% 1.10/1.31 ((~(cell27 = cell90)) <=> (~(cell27 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6157,axiom,(~(cell27 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49459')).
% 1.10/1.31 tff(6158,plain,
% 1.10/1.31 (~(cell27 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6157, 6156])).
% 1.10/1.31 tff(6159,plain,
% 1.10/1.31 (~(Y!0 = cell27)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6158, 6155])).
% 1.10/1.31 tff(6160,plain,
% 1.10/1.31 ((~(X!1 = cell26)) | (~(Y!0 = cell27))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3604, 6159])).
% 1.10/1.31 tff(6161,plain,
% 1.10/1.31 ((cell28 = cell90) <=> (cell28 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6162,plain,
% 1.10/1.31 ((cell28 = cell90) <=> (Y!0 = cell28)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6161, 2695])).
% 1.10/1.31 tff(6163,plain,
% 1.10/1.31 ((~(cell28 = cell90)) <=> (~(Y!0 = cell28))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6162])).
% 1.10/1.31 tff(6164,plain,
% 1.10/1.31 ((~(cell28 = cell90)) <=> (~(cell28 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6165,axiom,(~(cell28 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49428')).
% 1.10/1.31 tff(6166,plain,
% 1.10/1.31 (~(cell28 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6165, 6164])).
% 1.10/1.31 tff(6167,plain,
% 1.10/1.31 (~(Y!0 = cell28)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6166, 6163])).
% 1.10/1.31 tff(6168,plain,
% 1.10/1.31 ((~(X!1 = cell27)) | (~(Y!0 = cell28))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3606, 6167])).
% 1.10/1.31 tff(6169,plain,
% 1.10/1.31 ((cell29 = cell90) <=> (cell29 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6170,plain,
% 1.10/1.31 ((cell29 = cell90) <=> (Y!0 = cell29)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6169, 2705])).
% 1.10/1.31 tff(6171,plain,
% 1.10/1.31 ((~(cell29 = cell90)) <=> (~(Y!0 = cell29))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6170])).
% 1.10/1.31 tff(6172,plain,
% 1.10/1.31 ((~(cell29 = cell90)) <=> (~(cell29 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6173,axiom,(~(cell29 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49396')).
% 1.10/1.31 tff(6174,plain,
% 1.10/1.31 (~(cell29 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6173, 6172])).
% 1.10/1.31 tff(6175,plain,
% 1.10/1.31 (~(Y!0 = cell29)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6174, 6171])).
% 1.10/1.31 tff(6176,plain,
% 1.10/1.31 ((~(X!1 = cell28)) | (~(Y!0 = cell29))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3608, 6175])).
% 1.10/1.31 tff(6177,plain,
% 1.10/1.31 ((cell30 = cell90) <=> (cell30 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6178,plain,
% 1.10/1.31 ((cell30 = cell90) <=> (Y!0 = cell30)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6177, 3378])).
% 1.10/1.31 tff(6179,plain,
% 1.10/1.31 ((~(cell30 = cell90)) <=> (~(Y!0 = cell30))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6178])).
% 1.10/1.31 tff(6180,plain,
% 1.10/1.31 ((~(cell30 = cell90)) <=> (~(cell30 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6181,axiom,(~(cell30 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49363')).
% 1.10/1.31 tff(6182,plain,
% 1.10/1.31 (~(cell30 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6181, 6180])).
% 1.10/1.31 tff(6183,plain,
% 1.10/1.31 (~(Y!0 = cell30)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6182, 6179])).
% 1.10/1.31 tff(6184,plain,
% 1.10/1.31 ((~(X!1 = cell29)) | (~(Y!0 = cell30))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3610, 6183])).
% 1.10/1.31 tff(6185,plain,
% 1.10/1.31 ((cell32 = cell90) <=> (cell32 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6186,plain,
% 1.10/1.31 ((cell32 = cell90) <=> (Y!0 = cell32)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6185, 2725])).
% 1.10/1.31 tff(6187,plain,
% 1.10/1.31 ((~(cell32 = cell90)) <=> (~(Y!0 = cell32))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6186])).
% 1.10/1.31 tff(6188,plain,
% 1.10/1.31 ((~(cell32 = cell90)) <=> (~(cell32 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6189,axiom,(~(cell32 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49329')).
% 1.10/1.31 tff(6190,plain,
% 1.10/1.31 (~(cell32 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6189, 6188])).
% 1.10/1.31 tff(6191,plain,
% 1.10/1.31 (~(Y!0 = cell32)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6190, 6187])).
% 1.10/1.31 tff(6192,plain,
% 1.10/1.31 ((~(X!1 = cell31)) | (~(Y!0 = cell32))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3612, 6191])).
% 1.10/1.31 tff(6193,plain,
% 1.10/1.31 ((cell33 = cell90) <=> (cell33 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6194,plain,
% 1.10/1.31 ((cell33 = cell90) <=> (Y!0 = cell33)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6193, 2735])).
% 1.10/1.31 tff(6195,plain,
% 1.10/1.31 ((~(cell33 = cell90)) <=> (~(Y!0 = cell33))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6194])).
% 1.10/1.31 tff(6196,plain,
% 1.10/1.31 ((~(cell33 = cell90)) <=> (~(cell33 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6197,axiom,(~(cell33 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49258')).
% 1.10/1.31 tff(6198,plain,
% 1.10/1.31 (~(cell33 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6197, 6196])).
% 1.10/1.31 tff(6199,plain,
% 1.10/1.31 (~(Y!0 = cell33)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6198, 6195])).
% 1.10/1.31 tff(6200,plain,
% 1.10/1.31 ((~(X!1 = cell32)) | (~(Y!0 = cell33))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3614, 6199])).
% 1.10/1.31 tff(6201,plain,
% 1.10/1.31 ((cell34 = cell90) <=> (cell34 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6202,plain,
% 1.10/1.31 ((cell34 = cell90) <=> (Y!0 = cell34)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6201, 2745])).
% 1.10/1.31 tff(6203,plain,
% 1.10/1.31 ((~(cell34 = cell90)) <=> (~(Y!0 = cell34))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6202])).
% 1.10/1.31 tff(6204,plain,
% 1.10/1.31 ((~(cell34 = cell90)) <=> (~(cell34 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6205,axiom,(~(cell34 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49221')).
% 1.10/1.31 tff(6206,plain,
% 1.10/1.31 (~(cell34 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6205, 6204])).
% 1.10/1.31 tff(6207,plain,
% 1.10/1.31 (~(Y!0 = cell34)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6206, 6203])).
% 1.10/1.31 tff(6208,plain,
% 1.10/1.31 ((~(X!1 = cell33)) | (~(Y!0 = cell34))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3616, 6207])).
% 1.10/1.31 tff(6209,plain,
% 1.10/1.31 ((cell35 = cell90) <=> (cell35 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6210,plain,
% 1.10/1.31 ((cell35 = cell90) <=> (Y!0 = cell35)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6209, 2755])).
% 1.10/1.31 tff(6211,plain,
% 1.10/1.31 ((~(cell35 = cell90)) <=> (~(Y!0 = cell35))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6210])).
% 1.10/1.31 tff(6212,plain,
% 1.10/1.31 ((~(cell35 = cell90)) <=> (~(cell35 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6213,axiom,(~(cell35 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49183')).
% 1.10/1.31 tff(6214,plain,
% 1.10/1.31 (~(cell35 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6213, 6212])).
% 1.10/1.31 tff(6215,plain,
% 1.10/1.31 (~(Y!0 = cell35)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6214, 6211])).
% 1.10/1.31 tff(6216,plain,
% 1.10/1.31 ((~(X!1 = cell34)) | (~(Y!0 = cell35))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3618, 6215])).
% 1.10/1.31 tff(6217,plain,
% 1.10/1.31 ((cell36 = cell90) <=> (cell36 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6218,plain,
% 1.10/1.31 ((cell36 = cell90) <=> (Y!0 = cell36)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6217, 2765])).
% 1.10/1.31 tff(6219,plain,
% 1.10/1.31 ((~(cell36 = cell90)) <=> (~(Y!0 = cell36))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6218])).
% 1.10/1.31 tff(6220,plain,
% 1.10/1.31 ((~(cell36 = cell90)) <=> (~(cell36 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6221,axiom,(~(cell36 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49144')).
% 1.10/1.31 tff(6222,plain,
% 1.10/1.31 (~(cell36 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6221, 6220])).
% 1.10/1.31 tff(6223,plain,
% 1.10/1.31 (~(Y!0 = cell36)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6222, 6219])).
% 1.10/1.31 tff(6224,plain,
% 1.10/1.31 ((~(X!1 = cell35)) | (~(Y!0 = cell36))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3620, 6223])).
% 1.10/1.31 tff(6225,plain,
% 1.10/1.31 ((cell37 = cell90) <=> (cell37 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6226,plain,
% 1.10/1.31 ((cell37 = cell90) <=> (Y!0 = cell37)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6225, 2775])).
% 1.10/1.31 tff(6227,plain,
% 1.10/1.31 ((~(cell37 = cell90)) <=> (~(Y!0 = cell37))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6226])).
% 1.10/1.31 tff(6228,plain,
% 1.10/1.31 ((~(cell37 = cell90)) <=> (~(cell37 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6229,axiom,(~(cell37 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49104')).
% 1.10/1.31 tff(6230,plain,
% 1.10/1.31 (~(cell37 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6229, 6228])).
% 1.10/1.31 tff(6231,plain,
% 1.10/1.31 (~(Y!0 = cell37)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6230, 6227])).
% 1.10/1.31 tff(6232,plain,
% 1.10/1.31 ((~(X!1 = cell36)) | (~(Y!0 = cell37))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3622, 6231])).
% 1.10/1.31 tff(6233,plain,
% 1.10/1.31 ((cell38 = cell90) <=> (cell38 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6234,plain,
% 1.10/1.31 ((cell38 = cell90) <=> (Y!0 = cell38)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6233, 2785])).
% 1.10/1.31 tff(6235,plain,
% 1.10/1.31 ((~(cell38 = cell90)) <=> (~(Y!0 = cell38))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6234])).
% 1.10/1.31 tff(6236,plain,
% 1.10/1.31 ((~(cell38 = cell90)) <=> (~(cell38 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6237,axiom,(~(cell38 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49063')).
% 1.10/1.31 tff(6238,plain,
% 1.10/1.31 (~(cell38 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6237, 6236])).
% 1.10/1.31 tff(6239,plain,
% 1.10/1.31 (~(Y!0 = cell38)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6238, 6235])).
% 1.10/1.31 tff(6240,plain,
% 1.10/1.31 ((~(X!1 = cell37)) | (~(Y!0 = cell38))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3624, 6239])).
% 1.10/1.31 tff(6241,plain,
% 1.10/1.31 ((cell39 = cell90) <=> (cell39 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6242,plain,
% 1.10/1.31 ((cell39 = cell90) <=> (Y!0 = cell39)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6241, 2795])).
% 1.10/1.31 tff(6243,plain,
% 1.10/1.31 ((~(cell39 = cell90)) <=> (~(Y!0 = cell39))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6242])).
% 1.10/1.31 tff(6244,plain,
% 1.10/1.31 ((~(cell39 = cell90)) <=> (~(cell39 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6245,axiom,(~(cell39 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49021')).
% 1.10/1.31 tff(6246,plain,
% 1.10/1.31 (~(cell39 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6245, 6244])).
% 1.10/1.31 tff(6247,plain,
% 1.10/1.31 (~(Y!0 = cell39)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6246, 6243])).
% 1.10/1.31 tff(6248,plain,
% 1.10/1.31 ((~(X!1 = cell38)) | (~(Y!0 = cell39))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3626, 6247])).
% 1.10/1.31 tff(6249,plain,
% 1.10/1.31 ((cell40 = cell90) <=> (cell40 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6250,plain,
% 1.10/1.31 ((cell40 = cell90) <=> (Y!0 = cell40)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6249, 3406])).
% 1.10/1.31 tff(6251,plain,
% 1.10/1.31 ((~(cell40 = cell90)) <=> (~(Y!0 = cell40))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6250])).
% 1.10/1.31 tff(6252,plain,
% 1.10/1.31 ((~(cell40 = cell90)) <=> (~(cell40 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6253,axiom,(~(cell40 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48978')).
% 1.10/1.31 tff(6254,plain,
% 1.10/1.31 (~(cell40 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6253, 6252])).
% 1.10/1.31 tff(6255,plain,
% 1.10/1.31 (~(Y!0 = cell40)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6254, 6251])).
% 1.10/1.31 tff(6256,plain,
% 1.10/1.31 ((~(X!1 = cell39)) | (~(Y!0 = cell40))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3628, 6255])).
% 1.10/1.31 tff(6257,plain,
% 1.10/1.31 ((cell42 = cell90) <=> (cell42 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6258,plain,
% 1.10/1.31 ((cell42 = cell90) <=> (Y!0 = cell42)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6257, 2815])).
% 1.10/1.31 tff(6259,plain,
% 1.10/1.31 ((~(cell42 = cell90)) <=> (~(Y!0 = cell42))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6258])).
% 1.10/1.31 tff(6260,plain,
% 1.10/1.31 ((~(cell42 = cell90)) <=> (~(cell42 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6261,axiom,(~(cell42 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48934')).
% 1.10/1.31 tff(6262,plain,
% 1.10/1.31 (~(cell42 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6261, 6260])).
% 1.10/1.31 tff(6263,plain,
% 1.10/1.31 (~(Y!0 = cell42)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6262, 6259])).
% 1.10/1.31 tff(6264,plain,
% 1.10/1.31 ((~(X!1 = cell41)) | (~(Y!0 = cell42))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3630, 6263])).
% 1.10/1.31 tff(6265,plain,
% 1.10/1.31 ((cell43 = cell90) <=> (cell43 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6266,plain,
% 1.10/1.31 ((cell43 = cell90) <=> (Y!0 = cell43)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6265, 2825])).
% 1.10/1.31 tff(6267,plain,
% 1.10/1.31 ((~(cell43 = cell90)) <=> (~(Y!0 = cell43))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6266])).
% 1.10/1.31 tff(6268,plain,
% 1.10/1.31 ((~(cell43 = cell90)) <=> (~(cell43 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6269,axiom,(~(cell43 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48843')).
% 1.10/1.31 tff(6270,plain,
% 1.10/1.31 (~(cell43 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6269, 6268])).
% 1.10/1.31 tff(6271,plain,
% 1.10/1.31 (~(Y!0 = cell43)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6270, 6267])).
% 1.10/1.31 tff(6272,plain,
% 1.10/1.31 ((~(X!1 = cell42)) | (~(Y!0 = cell43))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3632, 6271])).
% 1.10/1.31 tff(6273,plain,
% 1.10/1.31 ((cell44 = cell90) <=> (cell44 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6274,plain,
% 1.10/1.31 ((cell44 = cell90) <=> (Y!0 = cell44)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6273, 2835])).
% 1.10/1.31 tff(6275,plain,
% 1.10/1.31 ((~(cell44 = cell90)) <=> (~(Y!0 = cell44))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6274])).
% 1.10/1.31 tff(6276,plain,
% 1.10/1.31 ((~(cell44 = cell90)) <=> (~(cell44 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6277,axiom,(~(cell44 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48796')).
% 1.10/1.31 tff(6278,plain,
% 1.10/1.31 (~(cell44 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6277, 6276])).
% 1.10/1.31 tff(6279,plain,
% 1.10/1.31 (~(Y!0 = cell44)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6278, 6275])).
% 1.10/1.31 tff(6280,plain,
% 1.10/1.31 ((~(X!1 = cell43)) | (~(Y!0 = cell44))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3634, 6279])).
% 1.10/1.31 tff(6281,plain,
% 1.10/1.31 ((cell45 = cell90) <=> (cell45 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6282,plain,
% 1.10/1.31 ((cell45 = cell90) <=> (Y!0 = cell45)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6281, 2845])).
% 1.10/1.31 tff(6283,plain,
% 1.10/1.31 ((~(cell45 = cell90)) <=> (~(Y!0 = cell45))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6282])).
% 1.10/1.31 tff(6284,plain,
% 1.10/1.31 ((~(cell45 = cell90)) <=> (~(cell45 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6285,axiom,(~(cell45 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48748')).
% 1.10/1.31 tff(6286,plain,
% 1.10/1.31 (~(cell45 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6285, 6284])).
% 1.10/1.31 tff(6287,plain,
% 1.10/1.31 (~(Y!0 = cell45)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6286, 6283])).
% 1.10/1.31 tff(6288,plain,
% 1.10/1.31 ((~(X!1 = cell44)) | (~(Y!0 = cell45))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3636, 6287])).
% 1.10/1.31 tff(6289,plain,
% 1.10/1.31 ((cell46 = cell90) <=> (cell46 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6290,plain,
% 1.10/1.31 ((cell46 = cell90) <=> (Y!0 = cell46)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6289, 2855])).
% 1.10/1.31 tff(6291,plain,
% 1.10/1.31 ((~(cell46 = cell90)) <=> (~(Y!0 = cell46))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6290])).
% 1.10/1.31 tff(6292,plain,
% 1.10/1.31 ((~(cell46 = cell90)) <=> (~(cell46 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6293,axiom,(~(cell46 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48699')).
% 1.10/1.31 tff(6294,plain,
% 1.10/1.31 (~(cell46 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6293, 6292])).
% 1.10/1.31 tff(6295,plain,
% 1.10/1.31 (~(Y!0 = cell46)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6294, 6291])).
% 1.10/1.31 tff(6296,plain,
% 1.10/1.31 ((~(X!1 = cell45)) | (~(Y!0 = cell46))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3638, 6295])).
% 1.10/1.31 tff(6297,plain,
% 1.10/1.31 ((cell47 = cell90) <=> (cell47 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6298,plain,
% 1.10/1.31 ((cell47 = cell90) <=> (Y!0 = cell47)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6297, 2865])).
% 1.10/1.31 tff(6299,plain,
% 1.10/1.31 ((~(cell47 = cell90)) <=> (~(Y!0 = cell47))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6298])).
% 1.10/1.31 tff(6300,plain,
% 1.10/1.31 ((~(cell47 = cell90)) <=> (~(cell47 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6301,axiom,(~(cell47 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48649')).
% 1.10/1.31 tff(6302,plain,
% 1.10/1.31 (~(cell47 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6301, 6300])).
% 1.10/1.31 tff(6303,plain,
% 1.10/1.31 (~(Y!0 = cell47)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6302, 6299])).
% 1.10/1.31 tff(6304,plain,
% 1.10/1.31 ((~(X!1 = cell46)) | (~(Y!0 = cell47))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3640, 6303])).
% 1.10/1.31 tff(6305,plain,
% 1.10/1.31 ((cell48 = cell90) <=> (cell48 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6306,plain,
% 1.10/1.31 ((cell48 = cell90) <=> (Y!0 = cell48)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6305, 2875])).
% 1.10/1.31 tff(6307,plain,
% 1.10/1.31 ((~(cell48 = cell90)) <=> (~(Y!0 = cell48))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6306])).
% 1.10/1.31 tff(6308,plain,
% 1.10/1.31 ((~(cell48 = cell90)) <=> (~(cell48 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6309,axiom,(~(cell48 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48598')).
% 1.10/1.31 tff(6310,plain,
% 1.10/1.31 (~(cell48 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6309, 6308])).
% 1.10/1.31 tff(6311,plain,
% 1.10/1.31 (~(Y!0 = cell48)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6310, 6307])).
% 1.10/1.31 tff(6312,plain,
% 1.10/1.31 ((~(X!1 = cell47)) | (~(Y!0 = cell48))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3642, 6311])).
% 1.10/1.31 tff(6313,plain,
% 1.10/1.31 ((cell49 = cell90) <=> (cell49 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6314,plain,
% 1.10/1.31 ((cell49 = cell90) <=> (Y!0 = cell49)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6313, 2885])).
% 1.10/1.31 tff(6315,plain,
% 1.10/1.31 ((~(cell49 = cell90)) <=> (~(Y!0 = cell49))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6314])).
% 1.10/1.31 tff(6316,plain,
% 1.10/1.31 ((~(cell49 = cell90)) <=> (~(cell49 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6317,axiom,(~(cell49 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48546')).
% 1.10/1.31 tff(6318,plain,
% 1.10/1.31 (~(cell49 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6317, 6316])).
% 1.10/1.31 tff(6319,plain,
% 1.10/1.31 (~(Y!0 = cell49)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6318, 6315])).
% 1.10/1.31 tff(6320,plain,
% 1.10/1.31 ((~(X!1 = cell48)) | (~(Y!0 = cell49))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3644, 6319])).
% 1.10/1.31 tff(6321,plain,
% 1.10/1.31 ((cell50 = cell90) <=> (cell50 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6322,plain,
% 1.10/1.31 ((cell50 = cell90) <=> (Y!0 = cell50)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6321, 3434])).
% 1.10/1.31 tff(6323,plain,
% 1.10/1.31 ((~(cell50 = cell90)) <=> (~(Y!0 = cell50))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6322])).
% 1.10/1.31 tff(6324,plain,
% 1.10/1.31 ((~(cell50 = cell90)) <=> (~(cell50 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6325,axiom,(~(cell50 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48493')).
% 1.10/1.31 tff(6326,plain,
% 1.10/1.31 (~(cell50 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6325, 6324])).
% 1.10/1.31 tff(6327,plain,
% 1.10/1.31 (~(Y!0 = cell50)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6326, 6323])).
% 1.10/1.31 tff(6328,plain,
% 1.10/1.31 ((~(X!1 = cell49)) | (~(Y!0 = cell50))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3646, 6327])).
% 1.10/1.31 tff(6329,plain,
% 1.10/1.31 ((cell52 = cell90) <=> (cell52 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6330,plain,
% 1.10/1.31 ((cell52 = cell90) <=> (Y!0 = cell52)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6329, 2905])).
% 1.10/1.31 tff(6331,plain,
% 1.10/1.31 ((~(cell52 = cell90)) <=> (~(Y!0 = cell52))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6330])).
% 1.10/1.31 tff(6332,plain,
% 1.10/1.31 ((~(cell52 = cell90)) <=> (~(cell52 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6333,axiom,(~(cell52 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48439')).
% 1.10/1.31 tff(6334,plain,
% 1.10/1.31 (~(cell52 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6333, 6332])).
% 1.10/1.31 tff(6335,plain,
% 1.10/1.31 (~(Y!0 = cell52)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6334, 6331])).
% 1.10/1.31 tff(6336,plain,
% 1.10/1.31 ((~(X!1 = cell51)) | (~(Y!0 = cell52))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3648, 6335])).
% 1.10/1.31 tff(6337,plain,
% 1.10/1.31 ((cell53 = cell90) <=> (cell53 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6338,plain,
% 1.10/1.31 ((cell53 = cell90) <=> (Y!0 = cell53)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6337, 2915])).
% 1.10/1.31 tff(6339,plain,
% 1.10/1.31 ((~(cell53 = cell90)) <=> (~(Y!0 = cell53))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6338])).
% 1.10/1.31 tff(6340,plain,
% 1.10/1.31 ((~(cell53 = cell90)) <=> (~(cell53 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6341,axiom,(~(cell53 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48328')).
% 1.10/1.31 tff(6342,plain,
% 1.10/1.31 (~(cell53 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6341, 6340])).
% 1.10/1.31 tff(6343,plain,
% 1.10/1.31 (~(Y!0 = cell53)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6342, 6339])).
% 1.10/1.31 tff(6344,plain,
% 1.10/1.31 ((~(X!1 = cell52)) | (~(Y!0 = cell53))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3650, 6343])).
% 1.10/1.31 tff(6345,plain,
% 1.10/1.31 ((cell54 = cell90) <=> (cell54 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6346,plain,
% 1.10/1.31 ((cell54 = cell90) <=> (Y!0 = cell54)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6345, 2925])).
% 1.10/1.31 tff(6347,plain,
% 1.10/1.31 ((~(cell54 = cell90)) <=> (~(Y!0 = cell54))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6346])).
% 1.10/1.31 tff(6348,plain,
% 1.10/1.31 ((~(cell54 = cell90)) <=> (~(cell54 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6349,axiom,(~(cell54 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48271')).
% 1.10/1.31 tff(6350,plain,
% 1.10/1.31 (~(cell54 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6349, 6348])).
% 1.10/1.31 tff(6351,plain,
% 1.10/1.31 (~(Y!0 = cell54)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6350, 6347])).
% 1.10/1.31 tff(6352,plain,
% 1.10/1.31 ((~(X!1 = cell53)) | (~(Y!0 = cell54))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3652, 6351])).
% 1.10/1.31 tff(6353,plain,
% 1.10/1.31 ((cell55 = cell90) <=> (cell55 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6354,plain,
% 1.10/1.31 ((cell55 = cell90) <=> (Y!0 = cell55)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6353, 2935])).
% 1.10/1.31 tff(6355,plain,
% 1.10/1.31 ((~(cell55 = cell90)) <=> (~(Y!0 = cell55))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6354])).
% 1.10/1.31 tff(6356,plain,
% 1.10/1.31 ((~(cell55 = cell90)) <=> (~(cell55 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6357,axiom,(~(cell55 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48213')).
% 1.10/1.31 tff(6358,plain,
% 1.10/1.31 (~(cell55 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6357, 6356])).
% 1.10/1.31 tff(6359,plain,
% 1.10/1.31 (~(Y!0 = cell55)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6358, 6355])).
% 1.10/1.31 tff(6360,plain,
% 1.10/1.31 ((~(X!1 = cell54)) | (~(Y!0 = cell55))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3654, 6359])).
% 1.10/1.31 tff(6361,plain,
% 1.10/1.31 ((cell56 = cell90) <=> (cell56 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6362,plain,
% 1.10/1.31 ((cell56 = cell90) <=> (Y!0 = cell56)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6361, 2945])).
% 1.10/1.31 tff(6363,plain,
% 1.10/1.31 ((~(cell56 = cell90)) <=> (~(Y!0 = cell56))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6362])).
% 1.10/1.31 tff(6364,plain,
% 1.10/1.31 ((~(cell56 = cell90)) <=> (~(cell56 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6365,axiom,(~(cell56 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48154')).
% 1.10/1.31 tff(6366,plain,
% 1.10/1.31 (~(cell56 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6365, 6364])).
% 1.10/1.31 tff(6367,plain,
% 1.10/1.31 (~(Y!0 = cell56)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6366, 6363])).
% 1.10/1.31 tff(6368,plain,
% 1.10/1.31 ((~(X!1 = cell55)) | (~(Y!0 = cell56))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3656, 6367])).
% 1.10/1.31 tff(6369,plain,
% 1.10/1.31 ((cell57 = cell90) <=> (cell57 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6370,plain,
% 1.10/1.31 ((cell57 = cell90) <=> (Y!0 = cell57)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6369, 2955])).
% 1.10/1.31 tff(6371,plain,
% 1.10/1.31 ((~(cell57 = cell90)) <=> (~(Y!0 = cell57))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6370])).
% 1.10/1.31 tff(6372,plain,
% 1.10/1.31 ((~(cell57 = cell90)) <=> (~(cell57 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6373,axiom,(~(cell57 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48094')).
% 1.10/1.31 tff(6374,plain,
% 1.10/1.31 (~(cell57 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6373, 6372])).
% 1.10/1.31 tff(6375,plain,
% 1.10/1.31 (~(Y!0 = cell57)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6374, 6371])).
% 1.10/1.31 tff(6376,plain,
% 1.10/1.31 ((~(X!1 = cell56)) | (~(Y!0 = cell57))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3658, 6375])).
% 1.10/1.31 tff(6377,plain,
% 1.10/1.31 ((cell58 = cell90) <=> (cell58 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6378,plain,
% 1.10/1.31 ((cell58 = cell90) <=> (Y!0 = cell58)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6377, 2965])).
% 1.10/1.31 tff(6379,plain,
% 1.10/1.31 ((~(cell58 = cell90)) <=> (~(Y!0 = cell58))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6378])).
% 1.10/1.31 tff(6380,plain,
% 1.10/1.31 ((~(cell58 = cell90)) <=> (~(cell58 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6381,axiom,(~(cell58 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48033')).
% 1.10/1.31 tff(6382,plain,
% 1.10/1.31 (~(cell58 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6381, 6380])).
% 1.10/1.31 tff(6383,plain,
% 1.10/1.31 (~(Y!0 = cell58)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6382, 6379])).
% 1.10/1.31 tff(6384,plain,
% 1.10/1.31 ((~(X!1 = cell57)) | (~(Y!0 = cell58))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3660, 6383])).
% 1.10/1.31 tff(6385,plain,
% 1.10/1.31 ((cell59 = cell90) <=> (cell59 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6386,plain,
% 1.10/1.31 ((cell59 = cell90) <=> (Y!0 = cell59)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6385, 2975])).
% 1.10/1.31 tff(6387,plain,
% 1.10/1.31 ((~(cell59 = cell90)) <=> (~(Y!0 = cell59))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6386])).
% 1.10/1.31 tff(6388,plain,
% 1.10/1.31 ((~(cell59 = cell90)) <=> (~(cell59 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6389,axiom,(~(cell59 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47971')).
% 1.10/1.31 tff(6390,plain,
% 1.10/1.31 (~(cell59 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6389, 6388])).
% 1.10/1.31 tff(6391,plain,
% 1.10/1.31 (~(Y!0 = cell59)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6390, 6387])).
% 1.10/1.31 tff(6392,plain,
% 1.10/1.31 ((~(X!1 = cell58)) | (~(Y!0 = cell59))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3662, 6391])).
% 1.10/1.31 tff(6393,plain,
% 1.10/1.31 ((cell60 = cell90) <=> (cell60 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6394,plain,
% 1.10/1.31 ((cell60 = cell90) <=> (Y!0 = cell60)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6393, 3462])).
% 1.10/1.31 tff(6395,plain,
% 1.10/1.31 ((~(cell60 = cell90)) <=> (~(Y!0 = cell60))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6394])).
% 1.10/1.31 tff(6396,plain,
% 1.10/1.31 ((~(cell60 = cell90)) <=> (~(cell60 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6397,axiom,(~(cell60 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47908')).
% 1.10/1.31 tff(6398,plain,
% 1.10/1.31 (~(cell60 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6397, 6396])).
% 1.10/1.31 tff(6399,plain,
% 1.10/1.31 (~(Y!0 = cell60)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6398, 6395])).
% 1.10/1.31 tff(6400,plain,
% 1.10/1.31 ((~(X!1 = cell59)) | (~(Y!0 = cell60))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3664, 6399])).
% 1.10/1.31 tff(6401,plain,
% 1.10/1.31 ((cell62 = cell90) <=> (cell62 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6402,plain,
% 1.10/1.31 ((cell62 = cell90) <=> (Y!0 = cell62)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6401, 2995])).
% 1.10/1.31 tff(6403,plain,
% 1.10/1.31 ((~(cell62 = cell90)) <=> (~(Y!0 = cell62))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6402])).
% 1.10/1.31 tff(6404,plain,
% 1.10/1.31 ((~(cell62 = cell90)) <=> (~(cell62 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6405,axiom,(~(cell62 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47844')).
% 1.10/1.31 tff(6406,plain,
% 1.10/1.31 (~(cell62 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6405, 6404])).
% 1.10/1.31 tff(6407,plain,
% 1.10/1.31 (~(Y!0 = cell62)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6406, 6403])).
% 1.10/1.31 tff(6408,plain,
% 1.10/1.31 ((~(X!1 = cell61)) | (~(Y!0 = cell62))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3666, 6407])).
% 1.10/1.31 tff(6409,plain,
% 1.10/1.31 ((cell63 = cell90) <=> (cell63 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6410,plain,
% 1.10/1.31 ((cell63 = cell90) <=> (Y!0 = cell63)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6409, 3005])).
% 1.10/1.31 tff(6411,plain,
% 1.10/1.31 ((~(cell63 = cell90)) <=> (~(Y!0 = cell63))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6410])).
% 1.10/1.31 tff(6412,plain,
% 1.10/1.31 ((~(cell63 = cell90)) <=> (~(cell63 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6413,axiom,(~(cell63 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47713')).
% 1.10/1.31 tff(6414,plain,
% 1.10/1.31 (~(cell63 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6413, 6412])).
% 1.10/1.31 tff(6415,plain,
% 1.10/1.31 (~(Y!0 = cell63)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6414, 6411])).
% 1.10/1.31 tff(6416,plain,
% 1.10/1.31 ((~(X!1 = cell62)) | (~(Y!0 = cell63))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3668, 6415])).
% 1.10/1.31 tff(6417,plain,
% 1.10/1.31 ((cell64 = cell90) <=> (cell64 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6418,plain,
% 1.10/1.31 ((cell64 = cell90) <=> (Y!0 = cell64)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6417, 3015])).
% 1.10/1.31 tff(6419,plain,
% 1.10/1.31 ((~(cell64 = cell90)) <=> (~(Y!0 = cell64))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6418])).
% 1.10/1.31 tff(6420,plain,
% 1.10/1.31 ((~(cell64 = cell90)) <=> (~(cell64 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6421,axiom,(~(cell64 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47646')).
% 1.10/1.31 tff(6422,plain,
% 1.10/1.31 (~(cell64 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6421, 6420])).
% 1.10/1.31 tff(6423,plain,
% 1.10/1.31 (~(Y!0 = cell64)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6422, 6419])).
% 1.10/1.31 tff(6424,plain,
% 1.10/1.31 ((~(X!1 = cell63)) | (~(Y!0 = cell64))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3670, 6423])).
% 1.10/1.31 tff(6425,plain,
% 1.10/1.31 ((cell65 = cell90) <=> (cell65 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6426,plain,
% 1.10/1.31 ((cell65 = cell90) <=> (Y!0 = cell65)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6425, 3025])).
% 1.10/1.31 tff(6427,plain,
% 1.10/1.31 ((~(cell65 = cell90)) <=> (~(Y!0 = cell65))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6426])).
% 1.10/1.31 tff(6428,plain,
% 1.10/1.31 ((~(cell65 = cell90)) <=> (~(cell65 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6429,axiom,(~(cell65 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47578')).
% 1.10/1.31 tff(6430,plain,
% 1.10/1.31 (~(cell65 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6429, 6428])).
% 1.10/1.31 tff(6431,plain,
% 1.10/1.31 (~(Y!0 = cell65)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6430, 6427])).
% 1.10/1.31 tff(6432,plain,
% 1.10/1.31 ((~(X!1 = cell64)) | (~(Y!0 = cell65))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3672, 6431])).
% 1.10/1.31 tff(6433,plain,
% 1.10/1.31 ((cell66 = cell90) <=> (cell66 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6434,plain,
% 1.10/1.31 ((cell66 = cell90) <=> (Y!0 = cell66)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6433, 3035])).
% 1.10/1.31 tff(6435,plain,
% 1.10/1.31 ((~(cell66 = cell90)) <=> (~(Y!0 = cell66))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6434])).
% 1.10/1.31 tff(6436,plain,
% 1.10/1.31 ((~(cell66 = cell90)) <=> (~(cell66 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6437,axiom,(~(cell66 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47509')).
% 1.10/1.31 tff(6438,plain,
% 1.10/1.31 (~(cell66 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6437, 6436])).
% 1.10/1.31 tff(6439,plain,
% 1.10/1.31 (~(Y!0 = cell66)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6438, 6435])).
% 1.10/1.31 tff(6440,plain,
% 1.10/1.31 ((~(X!1 = cell65)) | (~(Y!0 = cell66))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3674, 6439])).
% 1.10/1.31 tff(6441,plain,
% 1.10/1.31 ((cell67 = cell90) <=> (cell67 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6442,plain,
% 1.10/1.31 ((cell67 = cell90) <=> (Y!0 = cell67)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6441, 3045])).
% 1.10/1.31 tff(6443,plain,
% 1.10/1.31 ((~(cell67 = cell90)) <=> (~(Y!0 = cell67))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6442])).
% 1.10/1.31 tff(6444,plain,
% 1.10/1.31 ((~(cell67 = cell90)) <=> (~(cell67 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6445,axiom,(~(cell67 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47439')).
% 1.10/1.31 tff(6446,plain,
% 1.10/1.31 (~(cell67 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6445, 6444])).
% 1.10/1.31 tff(6447,plain,
% 1.10/1.31 (~(Y!0 = cell67)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6446, 6443])).
% 1.10/1.31 tff(6448,plain,
% 1.10/1.31 ((~(X!1 = cell66)) | (~(Y!0 = cell67))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3676, 6447])).
% 1.10/1.31 tff(6449,plain,
% 1.10/1.31 ((cell68 = cell90) <=> (cell68 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6450,plain,
% 1.10/1.31 ((cell68 = cell90) <=> (Y!0 = cell68)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6449, 3055])).
% 1.10/1.31 tff(6451,plain,
% 1.10/1.31 ((~(cell68 = cell90)) <=> (~(Y!0 = cell68))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6450])).
% 1.10/1.31 tff(6452,plain,
% 1.10/1.31 ((~(cell68 = cell90)) <=> (~(cell68 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6453,axiom,(~(cell68 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47368')).
% 1.10/1.31 tff(6454,plain,
% 1.10/1.31 (~(cell68 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6453, 6452])).
% 1.10/1.31 tff(6455,plain,
% 1.10/1.31 (~(Y!0 = cell68)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6454, 6451])).
% 1.10/1.31 tff(6456,plain,
% 1.10/1.31 ((~(X!1 = cell67)) | (~(Y!0 = cell68))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3678, 6455])).
% 1.10/1.31 tff(6457,plain,
% 1.10/1.31 ((cell69 = cell90) <=> (cell69 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6458,plain,
% 1.10/1.31 ((cell69 = cell90) <=> (Y!0 = cell69)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6457, 3065])).
% 1.10/1.31 tff(6459,plain,
% 1.10/1.31 ((~(cell69 = cell90)) <=> (~(Y!0 = cell69))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6458])).
% 1.10/1.31 tff(6460,plain,
% 1.10/1.31 ((~(cell69 = cell90)) <=> (~(cell69 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6461,axiom,(~(cell69 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47296')).
% 1.10/1.31 tff(6462,plain,
% 1.10/1.31 (~(cell69 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6461, 6460])).
% 1.10/1.31 tff(6463,plain,
% 1.10/1.31 (~(Y!0 = cell69)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6462, 6459])).
% 1.10/1.31 tff(6464,plain,
% 1.10/1.31 ((~(X!1 = cell68)) | (~(Y!0 = cell69))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3680, 6463])).
% 1.10/1.31 tff(6465,plain,
% 1.10/1.31 ((cell70 = cell90) <=> (cell70 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6466,plain,
% 1.10/1.31 ((cell70 = cell90) <=> (Y!0 = cell70)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6465, 3490])).
% 1.10/1.31 tff(6467,plain,
% 1.10/1.31 ((~(cell70 = cell90)) <=> (~(Y!0 = cell70))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6466])).
% 1.10/1.31 tff(6468,plain,
% 1.10/1.31 ((~(cell70 = cell90)) <=> (~(cell70 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6469,axiom,(~(cell70 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47223')).
% 1.10/1.31 tff(6470,plain,
% 1.10/1.31 (~(cell70 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6469, 6468])).
% 1.10/1.31 tff(6471,plain,
% 1.10/1.31 (~(Y!0 = cell70)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6470, 6467])).
% 1.10/1.31 tff(6472,plain,
% 1.10/1.31 ((~(X!1 = cell69)) | (~(Y!0 = cell70))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3682, 6471])).
% 1.10/1.31 tff(6473,plain,
% 1.10/1.31 ((cell72 = cell90) <=> (cell72 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6474,plain,
% 1.10/1.31 ((cell72 = cell90) <=> (Y!0 = cell72)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6473, 3085])).
% 1.10/1.31 tff(6475,plain,
% 1.10/1.31 ((~(cell72 = cell90)) <=> (~(Y!0 = cell72))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6474])).
% 1.10/1.31 tff(6476,plain,
% 1.10/1.31 ((~(cell72 = cell90)) <=> (~(cell72 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6477,axiom,(~(cell72 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47149')).
% 1.10/1.31 tff(6478,plain,
% 1.10/1.31 (~(cell72 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6477, 6476])).
% 1.10/1.31 tff(6479,plain,
% 1.10/1.31 (~(Y!0 = cell72)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6478, 6475])).
% 1.10/1.31 tff(6480,plain,
% 1.10/1.31 ((~(X!1 = cell71)) | (~(Y!0 = cell72))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3684, 6479])).
% 1.10/1.31 tff(6481,plain,
% 1.10/1.31 ((cell73 = cell90) <=> (cell73 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6482,plain,
% 1.10/1.31 ((cell73 = cell90) <=> (Y!0 = cell73)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6481, 3095])).
% 1.10/1.31 tff(6483,plain,
% 1.10/1.31 ((~(cell73 = cell90)) <=> (~(Y!0 = cell73))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6482])).
% 1.10/1.31 tff(6484,plain,
% 1.10/1.31 ((~(cell73 = cell90)) <=> (~(cell73 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6485,axiom,(~(cell73 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46998')).
% 1.10/1.31 tff(6486,plain,
% 1.10/1.31 (~(cell73 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6485, 6484])).
% 1.10/1.31 tff(6487,plain,
% 1.10/1.31 (~(Y!0 = cell73)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6486, 6483])).
% 1.10/1.31 tff(6488,plain,
% 1.10/1.31 ((~(X!1 = cell72)) | (~(Y!0 = cell73))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3686, 6487])).
% 1.10/1.31 tff(6489,plain,
% 1.10/1.31 ((cell74 = cell90) <=> (cell74 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6490,plain,
% 1.10/1.31 ((cell74 = cell90) <=> (Y!0 = cell74)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6489, 3105])).
% 1.10/1.31 tff(6491,plain,
% 1.10/1.31 ((~(cell74 = cell90)) <=> (~(Y!0 = cell74))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6490])).
% 1.10/1.31 tff(6492,plain,
% 1.10/1.31 ((~(cell74 = cell90)) <=> (~(cell74 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6493,axiom,(~(cell74 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46921')).
% 1.10/1.31 tff(6494,plain,
% 1.10/1.31 (~(cell74 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6493, 6492])).
% 1.10/1.31 tff(6495,plain,
% 1.10/1.31 (~(Y!0 = cell74)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6494, 6491])).
% 1.10/1.31 tff(6496,plain,
% 1.10/1.31 ((~(X!1 = cell73)) | (~(Y!0 = cell74))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3688, 6495])).
% 1.10/1.31 tff(6497,plain,
% 1.10/1.31 ((cell75 = cell90) <=> (cell75 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6498,plain,
% 1.10/1.31 ((cell75 = cell90) <=> (Y!0 = cell75)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6497, 3115])).
% 1.10/1.31 tff(6499,plain,
% 1.10/1.31 ((~(cell75 = cell90)) <=> (~(Y!0 = cell75))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6498])).
% 1.10/1.31 tff(6500,plain,
% 1.10/1.31 ((~(cell75 = cell90)) <=> (~(cell75 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6501,axiom,(~(cell75 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46843')).
% 1.10/1.31 tff(6502,plain,
% 1.10/1.31 (~(cell75 = cell90)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6501, 6500])).
% 1.10/1.31 tff(6503,plain,
% 1.10/1.31 (~(Y!0 = cell75)),
% 1.10/1.31 inference(modus_ponens,[status(thm)],[6502, 6499])).
% 1.10/1.31 tff(6504,plain,
% 1.10/1.31 ((~(X!1 = cell74)) | (~(Y!0 = cell75))),
% 1.10/1.31 inference(unit_resolution,[status(thm)],[3690, 6503])).
% 1.10/1.31 tff(6505,plain,
% 1.10/1.31 ((cell76 = cell90) <=> (cell76 = Y!0)),
% 1.10/1.31 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.31 tff(6506,plain,
% 1.10/1.31 ((cell76 = cell90) <=> (Y!0 = cell76)),
% 1.10/1.31 inference(transitivity,[status(thm)],[6505, 3125])).
% 1.10/1.31 tff(6507,plain,
% 1.10/1.31 ((~(cell76 = cell90)) <=> (~(Y!0 = cell76))),
% 1.10/1.31 inference(monotonicity,[status(thm)],[6506])).
% 1.10/1.31 tff(6508,plain,
% 1.10/1.31 ((~(cell76 = cell90)) <=> (~(cell76 = cell90))),
% 1.10/1.31 inference(rewrite,[status(thm)],[])).
% 1.10/1.31 tff(6509,axiom,(~(cell76 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46764')).
% 1.10/1.32 tff(6510,plain,
% 1.10/1.32 (~(cell76 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6509, 6508])).
% 1.10/1.32 tff(6511,plain,
% 1.10/1.32 (~(Y!0 = cell76)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6510, 6507])).
% 1.10/1.32 tff(6512,plain,
% 1.10/1.32 ((~(X!1 = cell75)) | (~(Y!0 = cell76))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3692, 6511])).
% 1.10/1.32 tff(6513,plain,
% 1.10/1.32 ((cell77 = cell90) <=> (cell77 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6514,plain,
% 1.10/1.32 ((cell77 = cell90) <=> (Y!0 = cell77)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6513, 3135])).
% 1.10/1.32 tff(6515,plain,
% 1.10/1.32 ((~(cell77 = cell90)) <=> (~(Y!0 = cell77))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6514])).
% 1.10/1.32 tff(6516,plain,
% 1.10/1.32 ((~(cell77 = cell90)) <=> (~(cell77 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6517,axiom,(~(cell77 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46684')).
% 1.10/1.32 tff(6518,plain,
% 1.10/1.32 (~(cell77 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6517, 6516])).
% 1.10/1.32 tff(6519,plain,
% 1.10/1.32 (~(Y!0 = cell77)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6518, 6515])).
% 1.10/1.32 tff(6520,plain,
% 1.10/1.32 ((~(X!1 = cell76)) | (~(Y!0 = cell77))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3694, 6519])).
% 1.10/1.32 tff(6521,plain,
% 1.10/1.32 ((cell78 = cell90) <=> (cell78 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6522,plain,
% 1.10/1.32 ((cell78 = cell90) <=> (Y!0 = cell78)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6521, 3145])).
% 1.10/1.32 tff(6523,plain,
% 1.10/1.32 ((~(cell78 = cell90)) <=> (~(Y!0 = cell78))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6522])).
% 1.10/1.32 tff(6524,plain,
% 1.10/1.32 ((~(cell78 = cell90)) <=> (~(cell78 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6525,axiom,(~(cell78 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46603')).
% 1.10/1.32 tff(6526,plain,
% 1.10/1.32 (~(cell78 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6525, 6524])).
% 1.10/1.32 tff(6527,plain,
% 1.10/1.32 (~(Y!0 = cell78)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6526, 6523])).
% 1.10/1.32 tff(6528,plain,
% 1.10/1.32 ((~(X!1 = cell77)) | (~(Y!0 = cell78))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3696, 6527])).
% 1.10/1.32 tff(6529,plain,
% 1.10/1.32 ((cell79 = cell90) <=> (cell79 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6530,plain,
% 1.10/1.32 ((cell79 = cell90) <=> (Y!0 = cell79)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6529, 2036])).
% 1.10/1.32 tff(6531,plain,
% 1.10/1.32 ((~(cell79 = cell90)) <=> (~(Y!0 = cell79))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6530])).
% 1.10/1.32 tff(6532,plain,
% 1.10/1.32 (~(Y!0 = cell79)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[3546, 6531])).
% 1.10/1.32 tff(6533,plain,
% 1.10/1.32 ((~(X!1 = cell78)) | (~(Y!0 = cell79))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[5047, 6532])).
% 1.10/1.32 tff(6534,plain,
% 1.10/1.32 ((cell80 = cell90) <=> (cell80 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6535,plain,
% 1.10/1.32 ((cell80 = cell90) <=> (Y!0 = cell80)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6534, 3518])).
% 1.10/1.32 tff(6536,plain,
% 1.10/1.32 ((~(cell80 = cell90)) <=> (~(Y!0 = cell80))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6535])).
% 1.10/1.32 tff(6537,plain,
% 1.10/1.32 ((~(cell80 = cell90)) <=> (~(cell80 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6538,axiom,(~(cell80 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46521')).
% 1.10/1.32 tff(6539,plain,
% 1.10/1.32 (~(cell80 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6538, 6537])).
% 1.10/1.32 tff(6540,plain,
% 1.10/1.32 (~(Y!0 = cell80)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6539, 6536])).
% 1.10/1.32 tff(6541,plain,
% 1.10/1.32 ((~(X!1 = cell79)) | (~(Y!0 = cell80))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3698, 6540])).
% 1.10/1.32 tff(6542,plain,
% 1.10/1.32 ((cell82 = cell90) <=> (cell82 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6543,plain,
% 1.10/1.32 ((cell82 = cell90) <=> (Y!0 = cell82)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6542, 3173])).
% 1.10/1.32 tff(6544,plain,
% 1.10/1.32 ((~(cell82 = cell90)) <=> (~(Y!0 = cell82))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6543])).
% 1.10/1.32 tff(6545,plain,
% 1.10/1.32 ((~(cell82 = cell90)) <=> (~(cell82 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6546,axiom,(~(cell82 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46438')).
% 1.10/1.32 tff(6547,plain,
% 1.10/1.32 (~(cell82 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6546, 6545])).
% 1.10/1.32 tff(6548,plain,
% 1.10/1.32 (~(Y!0 = cell82)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6547, 6544])).
% 1.10/1.32 tff(6549,plain,
% 1.10/1.32 ((~(X!1 = cell81)) | (~(Y!0 = cell82))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3700, 6548])).
% 1.10/1.32 tff(6550,plain,
% 1.10/1.32 ((cell83 = cell90) <=> (cell83 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6551,plain,
% 1.10/1.32 ((cell83 = cell90) <=> (Y!0 = cell83)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6550, 3183])).
% 1.10/1.32 tff(6552,plain,
% 1.10/1.32 ((~(cell83 = cell90)) <=> (~(Y!0 = cell83))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6551])).
% 1.10/1.32 tff(6553,plain,
% 1.10/1.32 ((~(cell83 = cell90)) <=> (~(cell83 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6554,axiom,(~(cell83 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46269')).
% 1.10/1.32 tff(6555,plain,
% 1.10/1.32 (~(cell83 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6554, 6553])).
% 1.10/1.32 tff(6556,plain,
% 1.10/1.32 (~(Y!0 = cell83)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6555, 6552])).
% 1.10/1.32 tff(6557,plain,
% 1.10/1.32 ((~(X!1 = cell82)) | (~(Y!0 = cell83))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3702, 6556])).
% 1.10/1.32 tff(6558,plain,
% 1.10/1.32 ((cell84 = cell90) <=> (cell84 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6559,plain,
% 1.10/1.32 ((cell84 = cell90) <=> (Y!0 = cell84)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6558, 3193])).
% 1.10/1.32 tff(6560,plain,
% 1.10/1.32 ((~(cell84 = cell90)) <=> (~(Y!0 = cell84))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6559])).
% 1.10/1.32 tff(6561,plain,
% 1.10/1.32 ((~(cell84 = cell90)) <=> (~(cell84 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6562,axiom,(~(cell84 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46183')).
% 1.10/1.32 tff(6563,plain,
% 1.10/1.32 (~(cell84 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6562, 6561])).
% 1.10/1.32 tff(6564,plain,
% 1.10/1.32 (~(Y!0 = cell84)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6563, 6560])).
% 1.10/1.32 tff(6565,plain,
% 1.10/1.32 ((~(X!1 = cell83)) | (~(Y!0 = cell84))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3704, 6564])).
% 1.10/1.32 tff(6566,plain,
% 1.10/1.32 ((cell85 = cell90) <=> (cell85 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6567,plain,
% 1.10/1.32 ((cell85 = cell90) <=> (Y!0 = cell85)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6566, 3203])).
% 1.10/1.32 tff(6568,plain,
% 1.10/1.32 ((~(cell85 = cell90)) <=> (~(Y!0 = cell85))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6567])).
% 1.10/1.32 tff(6569,plain,
% 1.10/1.32 ((~(cell85 = cell90)) <=> (~(cell85 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6570,axiom,(~(cell85 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46096')).
% 1.10/1.32 tff(6571,plain,
% 1.10/1.32 (~(cell85 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6570, 6569])).
% 1.10/1.32 tff(6572,plain,
% 1.10/1.32 (~(Y!0 = cell85)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6571, 6568])).
% 1.10/1.32 tff(6573,plain,
% 1.10/1.32 ((~(X!1 = cell84)) | (~(Y!0 = cell85))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3706, 6572])).
% 1.10/1.32 tff(6574,plain,
% 1.10/1.32 ((cell86 = cell90) <=> (cell86 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6575,plain,
% 1.10/1.32 ((cell86 = cell90) <=> (Y!0 = cell86)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6574, 3213])).
% 1.10/1.32 tff(6576,plain,
% 1.10/1.32 ((~(cell86 = cell90)) <=> (~(Y!0 = cell86))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6575])).
% 1.10/1.32 tff(6577,plain,
% 1.10/1.32 ((~(cell86 = cell90)) <=> (~(cell86 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6578,axiom,(~(cell86 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46008')).
% 1.10/1.32 tff(6579,plain,
% 1.10/1.32 (~(cell86 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6578, 6577])).
% 1.10/1.32 tff(6580,plain,
% 1.10/1.32 (~(Y!0 = cell86)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6579, 6576])).
% 1.10/1.32 tff(6581,plain,
% 1.10/1.32 ((~(X!1 = cell85)) | (~(Y!0 = cell86))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3708, 6580])).
% 1.10/1.32 tff(6582,plain,
% 1.10/1.32 ((cell87 = cell90) <=> (cell87 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6583,plain,
% 1.10/1.32 ((cell87 = cell90) <=> (Y!0 = cell87)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6582, 3223])).
% 1.10/1.32 tff(6584,plain,
% 1.10/1.32 ((~(cell87 = cell90)) <=> (~(Y!0 = cell87))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6583])).
% 1.10/1.32 tff(6585,plain,
% 1.10/1.32 ((~(cell87 = cell90)) <=> (~(cell87 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6586,axiom,(~(cell87 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45919')).
% 1.10/1.32 tff(6587,plain,
% 1.10/1.32 (~(cell87 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6586, 6585])).
% 1.10/1.32 tff(6588,plain,
% 1.10/1.32 (~(Y!0 = cell87)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6587, 6584])).
% 1.10/1.32 tff(6589,plain,
% 1.10/1.32 ((~(X!1 = cell86)) | (~(Y!0 = cell87))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3710, 6588])).
% 1.10/1.32 tff(6590,plain,
% 1.10/1.32 ((cell88 = cell90) <=> (cell88 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6591,plain,
% 1.10/1.32 ((cell88 = cell90) <=> (Y!0 = cell88)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6590, 2477])).
% 1.10/1.32 tff(6592,plain,
% 1.10/1.32 ((~(cell88 = cell90)) <=> (~(Y!0 = cell88))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6591])).
% 1.10/1.32 tff(6593,plain,
% 1.10/1.32 ((~(cell88 = cell90)) <=> (~(cell88 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6594,axiom,(~(cell88 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49896')).
% 1.10/1.32 tff(6595,plain,
% 1.10/1.32 (~(cell88 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6594, 6593])).
% 1.10/1.32 tff(6596,plain,
% 1.10/1.32 (~(Y!0 = cell88)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6595, 6592])).
% 1.10/1.32 tff(6597,plain,
% 1.10/1.32 ((~(X!1 = cell87)) | (~(Y!0 = cell88))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3712, 6596])).
% 1.10/1.32 tff(6598,plain,
% 1.10/1.32 ((cell89 = cell90) <=> (cell89 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6599,plain,
% 1.10/1.32 ((cell89 = cell90) <=> (Y!0 = cell89)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6598, 3297])).
% 1.10/1.32 tff(6600,plain,
% 1.10/1.32 ((~(cell89 = cell90)) <=> (~(Y!0 = cell89))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6599])).
% 1.10/1.32 tff(6601,plain,
% 1.10/1.32 ((~(cell89 = cell90)) <=> (~(cell89 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6602,axiom,(~(cell89 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49888')).
% 1.10/1.32 tff(6603,plain,
% 1.10/1.32 (~(cell89 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6602, 6601])).
% 1.10/1.32 tff(6604,plain,
% 1.10/1.32 (~(Y!0 = cell89)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6603, 6600])).
% 1.10/1.32 tff(6605,plain,
% 1.10/1.32 ((~(X!1 = cell88)) | (~(Y!0 = cell89))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3714, 6604])).
% 1.10/1.32 tff(6606,plain,
% 1.10/1.32 ((cell92 = cell90) <=> (cell92 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6607,plain,
% 1.10/1.32 ((cell92 = cell90) <=> (Y!0 = cell92)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6606, 2408])).
% 1.10/1.32 tff(6608,plain,
% 1.10/1.32 ((~(cell92 = cell90)) <=> (~(Y!0 = cell92))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6607])).
% 1.10/1.32 tff(6609,plain,
% 1.10/1.32 ((~(cell92 = cell90)) <=> (~(cell92 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6610,axiom,(~(cell92 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45829')).
% 1.10/1.32 tff(6611,plain,
% 1.10/1.32 (~(cell92 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6610, 6609])).
% 1.10/1.32 tff(6612,plain,
% 1.10/1.32 (~(Y!0 = cell92)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6611, 6608])).
% 1.10/1.32 tff(6613,plain,
% 1.10/1.32 ((~(X!1 = cell91)) | (~(Y!0 = cell92))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3716, 6612])).
% 1.10/1.32 tff(6614,plain,
% 1.10/1.32 ((cell93 = cell90) <=> (cell93 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6615,plain,
% 1.10/1.32 ((cell93 = cell90) <=> (Y!0 = cell93)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6614, 2418])).
% 1.10/1.32 tff(6616,plain,
% 1.10/1.32 ((~(cell93 = cell90)) <=> (~(Y!0 = cell93))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6615])).
% 1.10/1.32 tff(6617,plain,
% 1.10/1.32 ((~(cell93 = cell90)) <=> (~(cell93 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6618,axiom,(~(cell93 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45646')).
% 1.10/1.32 tff(6619,plain,
% 1.10/1.32 (~(cell93 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6618, 6617])).
% 1.10/1.32 tff(6620,plain,
% 1.10/1.32 (~(Y!0 = cell93)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6619, 6616])).
% 1.10/1.32 tff(6621,plain,
% 1.10/1.32 ((~(X!1 = cell92)) | (~(Y!0 = cell93))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3718, 6620])).
% 1.10/1.32 tff(6622,plain,
% 1.10/1.32 ((cell94 = cell90) <=> (cell94 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6623,plain,
% 1.10/1.32 ((cell94 = cell90) <=> (Y!0 = cell94)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6622, 2428])).
% 1.10/1.32 tff(6624,plain,
% 1.10/1.32 ((~(cell94 = cell90)) <=> (~(Y!0 = cell94))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6623])).
% 1.10/1.32 tff(6625,plain,
% 1.10/1.32 ((~(cell94 = cell90)) <=> (~(cell94 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6626,axiom,(~(cell94 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45553')).
% 1.10/1.32 tff(6627,plain,
% 1.10/1.32 (~(cell94 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6626, 6625])).
% 1.10/1.32 tff(6628,plain,
% 1.10/1.32 (~(Y!0 = cell94)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6627, 6624])).
% 1.10/1.32 tff(6629,plain,
% 1.10/1.32 ((~(X!1 = cell93)) | (~(Y!0 = cell94))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3720, 6628])).
% 1.10/1.32 tff(6630,plain,
% 1.10/1.32 ((cell95 = cell90) <=> (cell95 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6631,plain,
% 1.10/1.32 ((cell95 = cell90) <=> (Y!0 = cell95)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6630, 2438])).
% 1.10/1.32 tff(6632,plain,
% 1.10/1.32 ((~(cell95 = cell90)) <=> (~(Y!0 = cell95))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6631])).
% 1.10/1.32 tff(6633,plain,
% 1.10/1.32 ((~(cell95 = cell90)) <=> (~(cell95 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6634,axiom,(~(cell95 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45459')).
% 1.10/1.32 tff(6635,plain,
% 1.10/1.32 (~(cell95 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6634, 6633])).
% 1.10/1.32 tff(6636,plain,
% 1.10/1.32 (~(Y!0 = cell95)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6635, 6632])).
% 1.10/1.32 tff(6637,plain,
% 1.10/1.32 ((~(X!1 = cell94)) | (~(Y!0 = cell95))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3722, 6636])).
% 1.10/1.32 tff(6638,plain,
% 1.10/1.32 ((cell96 = cell90) <=> (cell96 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6639,plain,
% 1.10/1.32 ((cell96 = cell90) <=> (Y!0 = cell96)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6638, 2386])).
% 1.10/1.32 tff(6640,plain,
% 1.10/1.32 ((~(cell96 = cell90)) <=> (~(Y!0 = cell96))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6639])).
% 1.10/1.32 tff(6641,plain,
% 1.10/1.32 ((~(cell96 = cell90)) <=> (~(cell96 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6642,axiom,(~(cell96 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45364')).
% 1.10/1.32 tff(6643,plain,
% 1.10/1.32 (~(cell96 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6642, 6641])).
% 1.10/1.32 tff(6644,plain,
% 1.10/1.32 (~(Y!0 = cell96)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6643, 6640])).
% 1.10/1.32 tff(6645,plain,
% 1.10/1.32 ((~(X!1 = cell95)) | (~(Y!0 = cell96))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3724, 6644])).
% 1.10/1.32 tff(6646,plain,
% 1.10/1.32 ((cell97 = cell90) <=> (cell97 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6647,plain,
% 1.10/1.32 ((cell97 = cell90) <=> (Y!0 = cell97)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6646, 2457])).
% 1.10/1.32 tff(6648,plain,
% 1.10/1.32 ((~(cell97 = cell90)) <=> (~(Y!0 = cell97))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6647])).
% 1.10/1.32 tff(6649,plain,
% 1.10/1.32 ((~(cell97 = cell90)) <=> (~(cell97 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6650,axiom,(~(cell97 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45268')).
% 1.10/1.32 tff(6651,plain,
% 1.10/1.32 (~(cell97 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6650, 6649])).
% 1.10/1.32 tff(6652,plain,
% 1.10/1.32 (~(Y!0 = cell97)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6651, 6648])).
% 1.10/1.32 tff(6653,plain,
% 1.10/1.32 ((~(X!1 = cell96)) | (~(Y!0 = cell97))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3726, 6652])).
% 1.10/1.32 tff(6654,plain,
% 1.10/1.32 ((cell98 = cell90) <=> (cell98 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6655,plain,
% 1.10/1.32 ((cell98 = cell90) <=> (Y!0 = cell98)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6654, 2467])).
% 1.10/1.32 tff(6656,plain,
% 1.10/1.32 ((~(cell98 = cell90)) <=> (~(Y!0 = cell98))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6655])).
% 1.10/1.32 tff(6657,plain,
% 1.10/1.32 ((~(cell98 = cell90)) <=> (~(cell98 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6658,axiom,(~(cell98 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45171')).
% 1.10/1.32 tff(6659,plain,
% 1.10/1.32 (~(cell98 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6658, 6657])).
% 1.10/1.32 tff(6660,plain,
% 1.10/1.32 (~(Y!0 = cell98)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6659, 6656])).
% 1.10/1.32 tff(6661,plain,
% 1.10/1.32 ((~(X!1 = cell97)) | (~(Y!0 = cell98))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3728, 6660])).
% 1.10/1.32 tff(6662,plain,
% 1.10/1.32 ((~(X!1 = cell98)) | (~(Y!0 = cell99))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3889, 5985])).
% 1.10/1.32 tff(6663,plain,
% 1.10/1.32 ((~(X!1 = cell99)) | (~(Y!0 = cell100))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3732, 6061])).
% 1.10/1.32 tff(6664,plain,
% 1.10/1.32 ((cell90 = cell11) <=> (Y!0 = cell11)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6665,plain,
% 1.10/1.32 ((~(cell90 = cell11)) <=> (~(Y!0 = cell11))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6664])).
% 1.10/1.32 tff(6666,plain,
% 1.10/1.32 ((~(cell90 = cell11)) <=> (~(cell90 = cell11))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6667,axiom,(~(cell90 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49912')).
% 1.10/1.32 tff(6668,plain,
% 1.10/1.32 (~(cell90 = cell11)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6667, 6666])).
% 1.10/1.32 tff(6669,plain,
% 1.10/1.32 (~(Y!0 = cell11)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6668, 6665])).
% 1.10/1.32 tff(6670,plain,
% 1.10/1.32 ((~(X!1 = cell1)) | (~(Y!0 = cell11))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3734, 6669])).
% 1.10/1.32 tff(6671,plain,
% 1.10/1.32 ((cell90 = cell12) <=> (Y!0 = cell12)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6672,plain,
% 1.10/1.32 ((~(cell90 = cell12)) <=> (~(Y!0 = cell12))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6671])).
% 1.10/1.32 tff(6673,plain,
% 1.10/1.32 (~(Y!0 = cell12)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[2001, 6672])).
% 1.10/1.32 tff(6674,plain,
% 1.10/1.32 ((~(X!1 = cell2)) | (~(Y!0 = cell12))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3736, 6673])).
% 1.10/1.32 tff(6675,plain,
% 1.10/1.32 ((~(X!1 = cell3)) | (~(Y!0 = cell13))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3738, 6065])).
% 1.10/1.32 tff(6676,plain,
% 1.10/1.32 ((~(X!1 = cell4)) | (~(Y!0 = cell14))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3740, 6070])).
% 1.10/1.32 tff(6677,plain,
% 1.10/1.32 ((~(X!1 = cell5)) | (~(Y!0 = cell15))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3742, 6078])).
% 1.10/1.32 tff(6678,plain,
% 1.10/1.32 ((~(X!1 = cell6)) | (~(Y!0 = cell16))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3744, 6086])).
% 1.10/1.32 tff(6679,plain,
% 1.10/1.32 ((~(X!1 = cell7)) | (~(Y!0 = cell17))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3746, 6094])).
% 1.10/1.32 tff(6680,plain,
% 1.10/1.32 ((~(X!1 = cell8)) | (~(Y!0 = cell18))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3748, 6102])).
% 1.10/1.32 tff(6681,plain,
% 1.10/1.32 ((~(X!1 = cell9)) | (~(Y!0 = cell19))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3750, 6110])).
% 1.10/1.32 tff(6682,plain,
% 1.10/1.32 ((~(X!1 = cell10)) | (~(Y!0 = cell20))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3752, 6118])).
% 1.10/1.32 tff(6683,plain,
% 1.10/1.32 ((~(X!1 = cell12)) | (~(Y!0 = cell22))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2074, 6122])).
% 1.10/1.32 tff(6684,plain,
% 1.10/1.32 ((~(X!1 = cell13)) | (~(Y!0 = cell23))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[1632, 6127])).
% 1.10/1.32 tff(6685,plain,
% 1.10/1.32 ((~(X!1 = cell14)) | (~(Y!0 = cell24))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3758, 6135])).
% 1.10/1.32 tff(6686,plain,
% 1.10/1.32 ((~(X!1 = cell15)) | (~(Y!0 = cell25))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3760, 6143])).
% 1.10/1.32 tff(6687,plain,
% 1.10/1.32 ((~(X!1 = cell16)) | (~(Y!0 = cell26))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3762, 6151])).
% 1.10/1.32 tff(6688,plain,
% 1.10/1.32 ((~(X!1 = cell17)) | (~(Y!0 = cell27))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3764, 6159])).
% 1.10/1.32 tff(6689,plain,
% 1.10/1.32 ((~(X!1 = cell18)) | (~(Y!0 = cell28))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3766, 6167])).
% 1.10/1.32 tff(6690,plain,
% 1.10/1.32 ((~(X!1 = cell19)) | (~(Y!0 = cell29))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3768, 6175])).
% 1.10/1.32 tff(6691,plain,
% 1.10/1.32 ((~(X!1 = cell20)) | (~(Y!0 = cell30))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3770, 6183])).
% 1.10/1.32 tff(6692,plain,
% 1.10/1.32 ((cell31 = cell90) <=> (cell31 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6693,plain,
% 1.10/1.32 ((cell31 = cell90) <=> (Y!0 = cell31)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6692, 2715])).
% 1.10/1.32 tff(6694,plain,
% 1.10/1.32 ((~(cell31 = cell90)) <=> (~(Y!0 = cell31))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6693])).
% 1.10/1.32 tff(6695,plain,
% 1.10/1.32 ((~(cell31 = cell90)) <=> (~(cell31 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6696,axiom,(~(cell31 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49294')).
% 1.10/1.32 tff(6697,plain,
% 1.10/1.32 (~(cell31 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6696, 6695])).
% 1.10/1.32 tff(6698,plain,
% 1.10/1.32 (~(Y!0 = cell31)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6697, 6694])).
% 1.10/1.32 tff(6699,plain,
% 1.10/1.32 ((~(X!1 = cell21)) | (~(Y!0 = cell31))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3772, 6698])).
% 1.10/1.32 tff(6700,plain,
% 1.10/1.32 ((~(X!1 = cell22)) | (~(Y!0 = cell32))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3774, 6191])).
% 1.10/1.32 tff(6701,plain,
% 1.10/1.32 ((~(X!1 = cell23)) | (~(Y!0 = cell33))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3776, 6199])).
% 1.10/1.32 tff(6702,plain,
% 1.10/1.32 ((~(X!1 = cell24)) | (~(Y!0 = cell34))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3778, 6207])).
% 1.10/1.32 tff(6703,plain,
% 1.10/1.32 ((~(X!1 = cell25)) | (~(Y!0 = cell35))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3780, 6215])).
% 1.10/1.32 tff(6704,plain,
% 1.10/1.32 ((~(X!1 = cell26)) | (~(Y!0 = cell36))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3782, 6223])).
% 1.10/1.32 tff(6705,plain,
% 1.10/1.32 ((~(X!1 = cell27)) | (~(Y!0 = cell37))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3784, 6231])).
% 1.10/1.32 tff(6706,plain,
% 1.10/1.32 ((~(X!1 = cell28)) | (~(Y!0 = cell38))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3786, 6239])).
% 1.10/1.32 tff(6707,plain,
% 1.10/1.32 ((~(X!1 = cell29)) | (~(Y!0 = cell39))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3788, 6247])).
% 1.10/1.32 tff(6708,plain,
% 1.10/1.32 ((~(X!1 = cell30)) | (~(Y!0 = cell40))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3790, 6255])).
% 1.10/1.32 tff(6709,plain,
% 1.10/1.32 ((cell41 = cell90) <=> (cell41 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6710,plain,
% 1.10/1.32 ((cell41 = cell90) <=> (Y!0 = cell41)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6709, 2805])).
% 1.10/1.32 tff(6711,plain,
% 1.10/1.32 ((~(cell41 = cell90)) <=> (~(Y!0 = cell41))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6710])).
% 1.10/1.32 tff(6712,plain,
% 1.10/1.32 ((~(cell41 = cell90)) <=> (~(cell41 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6713,axiom,(~(cell41 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48889')).
% 1.10/1.32 tff(6714,plain,
% 1.10/1.32 (~(cell41 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6713, 6712])).
% 1.10/1.32 tff(6715,plain,
% 1.10/1.32 (~(Y!0 = cell41)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6714, 6711])).
% 1.10/1.32 tff(6716,plain,
% 1.10/1.32 ((~(X!1 = cell31)) | (~(Y!0 = cell41))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3792, 6715])).
% 1.10/1.32 tff(6717,plain,
% 1.10/1.32 ((~(X!1 = cell32)) | (~(Y!0 = cell42))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3794, 6263])).
% 1.10/1.32 tff(6718,plain,
% 1.10/1.32 ((~(X!1 = cell33)) | (~(Y!0 = cell43))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3796, 6271])).
% 1.10/1.32 tff(6719,plain,
% 1.10/1.32 ((~(X!1 = cell34)) | (~(Y!0 = cell44))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3798, 6279])).
% 1.10/1.32 tff(6720,plain,
% 1.10/1.32 ((~(X!1 = cell35)) | (~(Y!0 = cell45))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3800, 6287])).
% 1.10/1.32 tff(6721,plain,
% 1.10/1.32 ((~(X!1 = cell36)) | (~(Y!0 = cell46))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3802, 6295])).
% 1.10/1.32 tff(6722,plain,
% 1.10/1.32 ((~(X!1 = cell37)) | (~(Y!0 = cell47))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3804, 6303])).
% 1.10/1.32 tff(6723,plain,
% 1.10/1.32 ((~(X!1 = cell38)) | (~(Y!0 = cell48))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3806, 6311])).
% 1.10/1.32 tff(6724,plain,
% 1.10/1.32 ((~(X!1 = cell39)) | (~(Y!0 = cell49))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3808, 6319])).
% 1.10/1.32 tff(6725,plain,
% 1.10/1.32 ((~(X!1 = cell40)) | (~(Y!0 = cell50))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3810, 6327])).
% 1.10/1.32 tff(6726,plain,
% 1.10/1.32 ((cell51 = cell90) <=> (cell51 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6727,plain,
% 1.10/1.32 ((cell51 = cell90) <=> (Y!0 = cell51)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6726, 2895])).
% 1.10/1.32 tff(6728,plain,
% 1.10/1.32 ((~(cell51 = cell90)) <=> (~(Y!0 = cell51))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6727])).
% 1.10/1.32 tff(6729,plain,
% 1.10/1.32 ((~(cell51 = cell90)) <=> (~(cell51 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6730,axiom,(~(cell51 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48384')).
% 1.10/1.32 tff(6731,plain,
% 1.10/1.32 (~(cell51 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6730, 6729])).
% 1.10/1.32 tff(6732,plain,
% 1.10/1.32 (~(Y!0 = cell51)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6731, 6728])).
% 1.10/1.32 tff(6733,plain,
% 1.10/1.32 ((~(X!1 = cell41)) | (~(Y!0 = cell51))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3812, 6732])).
% 1.10/1.32 tff(6734,plain,
% 1.10/1.32 ((~(X!1 = cell42)) | (~(Y!0 = cell52))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3814, 6335])).
% 1.10/1.32 tff(6735,plain,
% 1.10/1.32 ((~(X!1 = cell43)) | (~(Y!0 = cell53))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3816, 6343])).
% 1.10/1.32 tff(6736,plain,
% 1.10/1.32 ((~(X!1 = cell44)) | (~(Y!0 = cell54))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3818, 6351])).
% 1.10/1.32 tff(6737,plain,
% 1.10/1.32 ((~(X!1 = cell45)) | (~(Y!0 = cell55))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3820, 6359])).
% 1.10/1.32 tff(6738,plain,
% 1.10/1.32 ((~(X!1 = cell46)) | (~(Y!0 = cell56))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3822, 6367])).
% 1.10/1.32 tff(6739,plain,
% 1.10/1.32 ((~(X!1 = cell47)) | (~(Y!0 = cell57))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3824, 6375])).
% 1.10/1.32 tff(6740,plain,
% 1.10/1.32 ((~(X!1 = cell48)) | (~(Y!0 = cell58))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3826, 6383])).
% 1.10/1.32 tff(6741,plain,
% 1.10/1.32 ((~(X!1 = cell49)) | (~(Y!0 = cell59))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3828, 6391])).
% 1.10/1.32 tff(6742,plain,
% 1.10/1.32 ((~(X!1 = cell50)) | (~(Y!0 = cell60))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3830, 6399])).
% 1.10/1.32 tff(6743,plain,
% 1.10/1.32 ((cell61 = cell90) <=> (cell61 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6744,plain,
% 1.10/1.32 ((cell61 = cell90) <=> (Y!0 = cell61)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6743, 2985])).
% 1.10/1.32 tff(6745,plain,
% 1.10/1.32 ((~(cell61 = cell90)) <=> (~(Y!0 = cell61))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6744])).
% 1.10/1.32 tff(6746,plain,
% 1.10/1.32 ((~(cell61 = cell90)) <=> (~(cell61 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6747,axiom,(~(cell61 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47779')).
% 1.10/1.32 tff(6748,plain,
% 1.10/1.32 (~(cell61 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6747, 6746])).
% 1.10/1.32 tff(6749,plain,
% 1.10/1.32 (~(Y!0 = cell61)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6748, 6745])).
% 1.10/1.32 tff(6750,plain,
% 1.10/1.32 ((~(X!1 = cell51)) | (~(Y!0 = cell61))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3832, 6749])).
% 1.10/1.32 tff(6751,plain,
% 1.10/1.32 ((~(X!1 = cell52)) | (~(Y!0 = cell62))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3834, 6407])).
% 1.10/1.32 tff(6752,plain,
% 1.10/1.32 ((~(X!1 = cell53)) | (~(Y!0 = cell63))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3836, 6415])).
% 1.10/1.32 tff(6753,plain,
% 1.10/1.32 ((~(X!1 = cell54)) | (~(Y!0 = cell64))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3838, 6423])).
% 1.10/1.32 tff(6754,plain,
% 1.10/1.32 ((~(X!1 = cell55)) | (~(Y!0 = cell65))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3840, 6431])).
% 1.10/1.32 tff(6755,plain,
% 1.10/1.32 ((~(X!1 = cell56)) | (~(Y!0 = cell66))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3842, 6439])).
% 1.10/1.32 tff(6756,plain,
% 1.10/1.32 ((~(X!1 = cell57)) | (~(Y!0 = cell67))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3844, 6447])).
% 1.10/1.32 tff(6757,plain,
% 1.10/1.32 ((~(X!1 = cell58)) | (~(Y!0 = cell68))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3846, 6455])).
% 1.10/1.32 tff(6758,plain,
% 1.10/1.32 ((~(X!1 = cell59)) | (~(Y!0 = cell69))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3848, 6463])).
% 1.10/1.32 tff(6759,plain,
% 1.10/1.32 ((~(X!1 = cell60)) | (~(Y!0 = cell70))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3850, 6471])).
% 1.10/1.32 tff(6760,plain,
% 1.10/1.32 ((cell71 = cell90) <=> (cell71 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6761,plain,
% 1.10/1.32 ((cell71 = cell90) <=> (Y!0 = cell71)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6760, 3075])).
% 1.10/1.32 tff(6762,plain,
% 1.10/1.32 ((~(cell71 = cell90)) <=> (~(Y!0 = cell71))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6761])).
% 1.10/1.32 tff(6763,plain,
% 1.10/1.32 ((~(cell71 = cell90)) <=> (~(cell71 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6764,axiom,(~(cell71 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47074')).
% 1.10/1.32 tff(6765,plain,
% 1.10/1.32 (~(cell71 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6764, 6763])).
% 1.10/1.32 tff(6766,plain,
% 1.10/1.32 (~(Y!0 = cell71)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6765, 6762])).
% 1.10/1.32 tff(6767,plain,
% 1.10/1.32 ((~(X!1 = cell61)) | (~(Y!0 = cell71))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3852, 6766])).
% 1.10/1.32 tff(6768,plain,
% 1.10/1.32 ((~(X!1 = cell62)) | (~(Y!0 = cell72))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3854, 6479])).
% 1.10/1.32 tff(6769,plain,
% 1.10/1.32 ((~(X!1 = cell63)) | (~(Y!0 = cell73))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3856, 6487])).
% 1.10/1.32 tff(6770,plain,
% 1.10/1.32 ((~(X!1 = cell64)) | (~(Y!0 = cell74))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3858, 6495])).
% 1.10/1.32 tff(6771,plain,
% 1.10/1.32 ((~(X!1 = cell65)) | (~(Y!0 = cell75))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3860, 6503])).
% 1.10/1.32 tff(6772,plain,
% 1.10/1.32 ((~(X!1 = cell66)) | (~(Y!0 = cell76))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3862, 6511])).
% 1.10/1.32 tff(6773,plain,
% 1.10/1.32 ((~(X!1 = cell67)) | (~(Y!0 = cell77))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3864, 6519])).
% 1.10/1.32 tff(6774,plain,
% 1.10/1.32 ((~(X!1 = cell68)) | (~(Y!0 = cell78))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3866, 6527])).
% 1.10/1.32 tff(6775,plain,
% 1.10/1.32 ((~(X!1 = cell69)) | (~(Y!0 = cell79))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[5134, 6532])).
% 1.10/1.32 tff(6776,plain,
% 1.10/1.32 ((~(X!1 = cell70)) | (~(Y!0 = cell80))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3869, 6540])).
% 1.10/1.32 tff(6777,plain,
% 1.10/1.32 ((cell81 = cell90) <=> (cell81 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6778,plain,
% 1.10/1.32 ((cell81 = cell90) <=> (Y!0 = cell81)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6777, 3163])).
% 1.10/1.32 tff(6779,plain,
% 1.10/1.32 ((~(cell81 = cell90)) <=> (~(Y!0 = cell81))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6778])).
% 1.10/1.32 tff(6780,plain,
% 1.10/1.32 ((~(cell81 = cell90)) <=> (~(cell81 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6781,axiom,(~(cell81 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46354')).
% 1.10/1.32 tff(6782,plain,
% 1.10/1.32 (~(cell81 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6781, 6780])).
% 1.10/1.32 tff(6783,plain,
% 1.10/1.32 (~(Y!0 = cell81)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6782, 6779])).
% 1.10/1.32 tff(6784,plain,
% 1.10/1.32 ((~(X!1 = cell71)) | (~(Y!0 = cell81))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3871, 6783])).
% 1.10/1.32 tff(6785,plain,
% 1.10/1.32 ((~(X!1 = cell72)) | (~(Y!0 = cell82))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3873, 6548])).
% 1.10/1.32 tff(6786,plain,
% 1.10/1.32 ((~(X!1 = cell73)) | (~(Y!0 = cell83))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3875, 6556])).
% 1.10/1.32 tff(6787,plain,
% 1.10/1.32 ((~(X!1 = cell74)) | (~(Y!0 = cell84))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3877, 6564])).
% 1.10/1.32 tff(6788,plain,
% 1.10/1.32 ((~(X!1 = cell75)) | (~(Y!0 = cell85))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3879, 6572])).
% 1.10/1.32 tff(6789,plain,
% 1.10/1.32 ((~(X!1 = cell76)) | (~(Y!0 = cell86))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3881, 6580])).
% 1.10/1.32 tff(6790,plain,
% 1.10/1.32 ((~(X!1 = cell77)) | (~(Y!0 = cell87))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3883, 6588])).
% 1.10/1.32 tff(6791,plain,
% 1.10/1.32 ((~(X!1 = cell78)) | (~(Y!0 = cell88))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3885, 6596])).
% 1.10/1.32 tff(6792,plain,
% 1.10/1.32 ((~(X!1 = cell79)) | (~(Y!0 = cell89))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3887, 6604])).
% 1.10/1.32 tff(6793,plain,
% 1.10/1.32 ((~(Y!0 = cell87)) | (~(X!1 = cell97))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3540, 6588])).
% 1.10/1.32 tff(6794,plain,
% 1.10/1.32 ((cell91 = cell90) <=> (cell91 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6795,plain,
% 1.10/1.32 ((cell91 = cell90) <=> (Y!0 = cell91)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6794, 2398])).
% 1.10/1.32 tff(6796,plain,
% 1.10/1.32 ((~(cell91 = cell90)) <=> (~(Y!0 = cell91))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6795])).
% 1.10/1.32 tff(6797,plain,
% 1.10/1.32 ((~(cell91 = cell90)) <=> (~(cell91 = cell90))),
% 1.10/1.32 inference(rewrite,[status(thm)],[])).
% 1.10/1.32 tff(6798,axiom,(~(cell91 = cell90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45738')).
% 1.10/1.32 tff(6799,plain,
% 1.10/1.32 (~(cell91 = cell90)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6798, 6797])).
% 1.10/1.32 tff(6800,plain,
% 1.10/1.32 (~(Y!0 = cell91)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[6799, 6796])).
% 1.10/1.32 tff(6801,plain,
% 1.10/1.32 ((~(X!1 = cell81)) | (~(Y!0 = cell91))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3891, 6800])).
% 1.10/1.32 tff(6802,plain,
% 1.10/1.32 ((~(X!1 = cell82)) | (~(Y!0 = cell92))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3893, 6612])).
% 1.10/1.32 tff(6803,plain,
% 1.10/1.32 ((~(X!1 = cell83)) | (~(Y!0 = cell93))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3895, 6620])).
% 1.10/1.32 tff(6804,plain,
% 1.10/1.32 ((~(X!1 = cell84)) | (~(Y!0 = cell94))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3897, 6628])).
% 1.10/1.32 tff(6805,plain,
% 1.10/1.32 ((~(X!1 = cell85)) | (~(Y!0 = cell95))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3899, 6636])).
% 1.10/1.32 tff(6806,plain,
% 1.10/1.32 ((~(X!1 = cell86)) | (~(Y!0 = cell96))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3550, 6644])).
% 1.10/1.32 tff(6807,plain,
% 1.10/1.32 ((~(X!1 = cell87)) | (~(Y!0 = cell97))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[3730, 6652])).
% 1.10/1.32 tff(6808,plain,
% 1.10/1.32 ((~(Y!0 = cell79)) | (~(X!1 = cell80))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[4153, 6532])).
% 1.10/1.32 tff(6809,plain,
% 1.10/1.32 ((~(X!1 = cell92)) | (~(Y!0 = cell91))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2406, 6800])).
% 1.10/1.32 tff(6810,plain,
% 1.10/1.32 ((~(X!1 = cell93)) | (~(Y!0 = cell92))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2416, 6612])).
% 1.10/1.32 tff(6811,plain,
% 1.10/1.32 ((~(X!1 = cell94)) | (~(Y!0 = cell93))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2426, 6620])).
% 1.10/1.32 tff(6812,plain,
% 1.10/1.32 ((~(X!1 = cell95)) | (~(Y!0 = cell94))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2436, 6628])).
% 1.10/1.32 tff(6813,plain,
% 1.10/1.32 ((~(X!1 = cell96)) | (~(Y!0 = cell95))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2446, 6636])).
% 1.10/1.32 tff(6814,plain,
% 1.10/1.32 ((~(X!1 = cell97)) | (~(Y!0 = cell96))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2455, 6644])).
% 1.10/1.32 tff(6815,plain,
% 1.10/1.32 ((~(X!1 = cell98)) | (~(Y!0 = cell97))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2465, 6652])).
% 1.10/1.32 tff(6816,plain,
% 1.10/1.32 ((~(X!1 = cell99)) | (~(Y!0 = cell98))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2475, 6660])).
% 1.10/1.32 tff(6817,plain,
% 1.10/1.32 ((~(Y!0 = cell88)) | (~(X!1 = cell98))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2485, 6596])).
% 1.10/1.32 tff(6818,plain,
% 1.10/1.32 ((cell1 = cell90) <=> (cell1 = Y!0)),
% 1.10/1.32 inference(monotonicity,[status(thm)],[5982])).
% 1.10/1.32 tff(6819,plain,
% 1.10/1.32 ((cell1 = cell90) <=> (Y!0 = cell1)),
% 1.10/1.32 inference(transitivity,[status(thm)],[6818, 2080])).
% 1.10/1.32 tff(6820,plain,
% 1.10/1.32 ((~(cell1 = cell90)) <=> (~(Y!0 = cell1))),
% 1.10/1.32 inference(monotonicity,[status(thm)],[6819])).
% 1.10/1.32 tff(6821,plain,
% 1.10/1.32 (~(Y!0 = cell1)),
% 1.10/1.32 inference(modus_ponens,[status(thm)],[2162, 6820])).
% 1.10/1.32 tff(6822,plain,
% 1.10/1.32 ((~(Y!0 = cell1)) | (~(X!1 = cell2))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2487, 6821])).
% 1.10/1.32 tff(6823,plain,
% 1.10/1.32 ((~(Y!0 = cell2)) | (~(X!1 = cell3))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2495, 5992])).
% 1.10/1.32 tff(6824,plain,
% 1.10/1.32 ((~(Y!0 = cell3)) | (~(X!1 = cell4))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2501, 5997])).
% 1.10/1.32 tff(6825,plain,
% 1.10/1.32 ((~(Y!0 = cell4)) | (~(X!1 = cell5))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2511, 6005])).
% 1.10/1.32 tff(6826,plain,
% 1.10/1.32 ((~(Y!0 = cell5)) | (~(X!1 = cell6))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2521, 6013])).
% 1.10/1.32 tff(6827,plain,
% 1.10/1.32 ((~(Y!0 = cell6)) | (~(X!1 = cell7))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2531, 6021])).
% 1.10/1.32 tff(6828,plain,
% 1.10/1.32 ((~(Y!0 = cell7)) | (~(X!1 = cell8))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2541, 6029])).
% 1.10/1.32 tff(6829,plain,
% 1.10/1.32 ((~(Y!0 = cell8)) | (~(X!1 = cell9))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2551, 6037])).
% 1.10/1.32 tff(6830,plain,
% 1.10/1.32 ((~(Y!0 = cell9)) | (~(X!1 = cell10))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2561, 6045])).
% 1.10/1.32 tff(6831,plain,
% 1.10/1.32 ((~(Y!0 = cell11)) | (~(X!1 = cell12))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2569, 6669])).
% 1.10/1.32 tff(6832,plain,
% 1.10/1.32 ((~(Y!0 = cell12)) | (~(X!1 = cell13))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2003, 6673])).
% 1.10/1.32 tff(6833,plain,
% 1.10/1.32 ((~(Y!0 = cell13)) | (~(X!1 = cell14))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2578, 6065])).
% 1.10/1.32 tff(6834,plain,
% 1.10/1.32 ((~(Y!0 = cell14)) | (~(X!1 = cell15))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2584, 6070])).
% 1.10/1.32 tff(6835,plain,
% 1.10/1.32 ((~(Y!0 = cell15)) | (~(X!1 = cell16))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2594, 6078])).
% 1.10/1.32 tff(6836,plain,
% 1.10/1.32 ((~(Y!0 = cell16)) | (~(X!1 = cell17))),
% 1.10/1.32 inference(unit_resolution,[status(thm)],[2604, 6086])).
% 1.10/1.32 tff(6837,plain,
% 1.10/1.32 ((~(Y!0 = cell17)) | (~(X!1 = cell18))),
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% 1.10/1.33 inference(modus_ponens,[status(thm)],[6093, 7053])).
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% 1.10/1.33 ((~(X!1 = cell16)) | (~(Y!0 = cell17))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3587, 7054])).
% 1.10/1.33 tff(7056,plain,
% 1.10/1.33 ((cell18 = cell90) <=> (cell18 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7057,plain,
% 1.10/1.33 ((cell18 = cell90) <=> (Y!0 = cell18)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7056, 2616])).
% 1.10/1.33 tff(7058,plain,
% 1.10/1.33 ((~(cell18 = cell90)) <=> (~(Y!0 = cell18))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7057])).
% 1.10/1.33 tff(7059,plain,
% 1.10/1.33 (~(Y!0 = cell18)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6101, 7058])).
% 1.10/1.33 tff(7060,plain,
% 1.10/1.33 ((~(X!1 = cell17)) | (~(Y!0 = cell18))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3589, 7059])).
% 1.10/1.33 tff(7061,plain,
% 1.10/1.33 ((cell19 = cell90) <=> (cell19 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7062,plain,
% 1.10/1.33 ((cell19 = cell90) <=> (Y!0 = cell19)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7061, 2626])).
% 1.10/1.33 tff(7063,plain,
% 1.10/1.33 ((~(cell19 = cell90)) <=> (~(Y!0 = cell19))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7062])).
% 1.10/1.33 tff(7064,plain,
% 1.10/1.33 (~(Y!0 = cell19)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6109, 7063])).
% 1.10/1.33 tff(7065,plain,
% 1.10/1.33 ((~(X!1 = cell18)) | (~(Y!0 = cell19))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3591, 7064])).
% 1.10/1.33 tff(7066,plain,
% 1.10/1.33 ((cell20 = cell90) <=> (cell20 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7067,plain,
% 1.10/1.33 ((cell20 = cell90) <=> (Y!0 = cell20)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7066, 3351])).
% 1.10/1.33 tff(7068,plain,
% 1.10/1.33 ((~(cell20 = cell90)) <=> (~(Y!0 = cell20))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7067])).
% 1.10/1.33 tff(7069,plain,
% 1.10/1.33 (~(Y!0 = cell20)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6117, 7068])).
% 1.10/1.33 tff(7070,plain,
% 1.10/1.33 ((~(X!1 = cell19)) | (~(Y!0 = cell20))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3593, 7069])).
% 1.10/1.33 tff(7071,plain,
% 1.10/1.33 ((cell90 = cell22) <=> (Y!0 = cell22)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7072,plain,
% 1.10/1.33 ((~(cell90 = cell22)) <=> (~(Y!0 = cell22))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7071])).
% 1.10/1.33 tff(7073,plain,
% 1.10/1.33 (~(Y!0 = cell22)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[2033, 7072])).
% 1.10/1.33 tff(7074,plain,
% 1.10/1.33 ((~(X!1 = cell21)) | (~(Y!0 = cell22))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[2072, 7073])).
% 1.10/1.33 tff(7075,plain,
% 1.10/1.33 ((cell23 = cell90) <=> (cell23 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7076,plain,
% 1.10/1.33 ((cell23 = cell90) <=> (Y!0 = cell23)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7075, 2357])).
% 1.10/1.33 tff(7077,plain,
% 1.10/1.33 ((~(cell23 = cell90)) <=> (~(Y!0 = cell23))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7076])).
% 1.10/1.33 tff(7078,plain,
% 1.10/1.33 (~(Y!0 = cell23)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[1579, 7077])).
% 1.10/1.33 tff(7079,plain,
% 1.10/1.33 ((~(X!1 = cell22)) | (~(Y!0 = cell23))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3596, 7078])).
% 1.10/1.33 tff(7080,plain,
% 1.10/1.33 ((cell24 = cell90) <=> (cell24 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7081,plain,
% 1.10/1.33 ((cell24 = cell90) <=> (Y!0 = cell24)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7080, 2655])).
% 1.10/1.33 tff(7082,plain,
% 1.10/1.33 ((~(cell24 = cell90)) <=> (~(Y!0 = cell24))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7081])).
% 1.10/1.33 tff(7083,plain,
% 1.10/1.33 (~(Y!0 = cell24)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6134, 7082])).
% 1.10/1.33 tff(7084,plain,
% 1.10/1.33 ((~(X!1 = cell23)) | (~(Y!0 = cell24))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3598, 7083])).
% 1.10/1.33 tff(7085,plain,
% 1.10/1.33 ((cell25 = cell90) <=> (cell25 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7086,plain,
% 1.10/1.33 ((cell25 = cell90) <=> (Y!0 = cell25)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7085, 2665])).
% 1.10/1.33 tff(7087,plain,
% 1.10/1.33 ((~(cell25 = cell90)) <=> (~(Y!0 = cell25))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7086])).
% 1.10/1.33 tff(7088,plain,
% 1.10/1.33 (~(Y!0 = cell25)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6142, 7087])).
% 1.10/1.33 tff(7089,plain,
% 1.10/1.33 ((~(X!1 = cell24)) | (~(Y!0 = cell25))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3600, 7088])).
% 1.10/1.33 tff(7090,plain,
% 1.10/1.33 ((cell26 = cell90) <=> (cell26 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7091,plain,
% 1.10/1.33 ((cell26 = cell90) <=> (Y!0 = cell26)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7090, 2675])).
% 1.10/1.33 tff(7092,plain,
% 1.10/1.33 ((~(cell26 = cell90)) <=> (~(Y!0 = cell26))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7091])).
% 1.10/1.33 tff(7093,plain,
% 1.10/1.33 (~(Y!0 = cell26)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6150, 7092])).
% 1.10/1.33 tff(7094,plain,
% 1.10/1.33 ((~(X!1 = cell25)) | (~(Y!0 = cell26))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3602, 7093])).
% 1.10/1.33 tff(7095,plain,
% 1.10/1.33 ((cell27 = cell90) <=> (cell27 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7096,plain,
% 1.10/1.33 ((cell27 = cell90) <=> (Y!0 = cell27)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7095, 2685])).
% 1.10/1.33 tff(7097,plain,
% 1.10/1.33 ((~(cell27 = cell90)) <=> (~(Y!0 = cell27))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7096])).
% 1.10/1.33 tff(7098,plain,
% 1.10/1.33 (~(Y!0 = cell27)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6158, 7097])).
% 1.10/1.33 tff(7099,plain,
% 1.10/1.33 ((~(X!1 = cell26)) | (~(Y!0 = cell27))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3604, 7098])).
% 1.10/1.33 tff(7100,plain,
% 1.10/1.33 ((cell28 = cell90) <=> (cell28 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7101,plain,
% 1.10/1.33 ((cell28 = cell90) <=> (Y!0 = cell28)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7100, 2695])).
% 1.10/1.33 tff(7102,plain,
% 1.10/1.33 ((~(cell28 = cell90)) <=> (~(Y!0 = cell28))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7101])).
% 1.10/1.33 tff(7103,plain,
% 1.10/1.33 (~(Y!0 = cell28)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6166, 7102])).
% 1.10/1.33 tff(7104,plain,
% 1.10/1.33 ((~(X!1 = cell27)) | (~(Y!0 = cell28))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3606, 7103])).
% 1.10/1.33 tff(7105,plain,
% 1.10/1.33 ((cell29 = cell90) <=> (cell29 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7106,plain,
% 1.10/1.33 ((cell29 = cell90) <=> (Y!0 = cell29)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7105, 2705])).
% 1.10/1.33 tff(7107,plain,
% 1.10/1.33 ((~(cell29 = cell90)) <=> (~(Y!0 = cell29))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7106])).
% 1.10/1.33 tff(7108,plain,
% 1.10/1.33 (~(Y!0 = cell29)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6174, 7107])).
% 1.10/1.33 tff(7109,plain,
% 1.10/1.33 ((~(X!1 = cell28)) | (~(Y!0 = cell29))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3608, 7108])).
% 1.10/1.33 tff(7110,plain,
% 1.10/1.33 ((cell30 = cell90) <=> (cell30 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7111,plain,
% 1.10/1.33 ((cell30 = cell90) <=> (Y!0 = cell30)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7110, 3378])).
% 1.10/1.33 tff(7112,plain,
% 1.10/1.33 ((~(cell30 = cell90)) <=> (~(Y!0 = cell30))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7111])).
% 1.10/1.33 tff(7113,plain,
% 1.10/1.33 (~(Y!0 = cell30)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6182, 7112])).
% 1.10/1.33 tff(7114,plain,
% 1.10/1.33 ((~(X!1 = cell29)) | (~(Y!0 = cell30))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3610, 7113])).
% 1.10/1.33 tff(7115,plain,
% 1.10/1.33 ((cell32 = cell90) <=> (cell32 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7116,plain,
% 1.10/1.33 ((cell32 = cell90) <=> (Y!0 = cell32)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7115, 2725])).
% 1.10/1.33 tff(7117,plain,
% 1.10/1.33 ((~(cell32 = cell90)) <=> (~(Y!0 = cell32))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7116])).
% 1.10/1.33 tff(7118,plain,
% 1.10/1.33 (~(Y!0 = cell32)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6190, 7117])).
% 1.10/1.33 tff(7119,plain,
% 1.10/1.33 ((~(X!1 = cell31)) | (~(Y!0 = cell32))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3612, 7118])).
% 1.10/1.33 tff(7120,plain,
% 1.10/1.33 ((cell33 = cell90) <=> (cell33 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7121,plain,
% 1.10/1.33 ((cell33 = cell90) <=> (Y!0 = cell33)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7120, 2735])).
% 1.10/1.33 tff(7122,plain,
% 1.10/1.33 ((~(cell33 = cell90)) <=> (~(Y!0 = cell33))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7121])).
% 1.10/1.33 tff(7123,plain,
% 1.10/1.33 (~(Y!0 = cell33)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6198, 7122])).
% 1.10/1.33 tff(7124,plain,
% 1.10/1.33 ((~(X!1 = cell32)) | (~(Y!0 = cell33))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3614, 7123])).
% 1.10/1.33 tff(7125,plain,
% 1.10/1.33 ((cell34 = cell90) <=> (cell34 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7126,plain,
% 1.10/1.33 ((cell34 = cell90) <=> (Y!0 = cell34)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7125, 2745])).
% 1.10/1.33 tff(7127,plain,
% 1.10/1.33 ((~(cell34 = cell90)) <=> (~(Y!0 = cell34))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7126])).
% 1.10/1.33 tff(7128,plain,
% 1.10/1.33 (~(Y!0 = cell34)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6206, 7127])).
% 1.10/1.33 tff(7129,plain,
% 1.10/1.33 ((~(X!1 = cell33)) | (~(Y!0 = cell34))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3616, 7128])).
% 1.10/1.33 tff(7130,plain,
% 1.10/1.33 ((cell35 = cell90) <=> (cell35 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7131,plain,
% 1.10/1.33 ((cell35 = cell90) <=> (Y!0 = cell35)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7130, 2755])).
% 1.10/1.33 tff(7132,plain,
% 1.10/1.33 ((~(cell35 = cell90)) <=> (~(Y!0 = cell35))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7131])).
% 1.10/1.33 tff(7133,plain,
% 1.10/1.33 (~(Y!0 = cell35)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6214, 7132])).
% 1.10/1.33 tff(7134,plain,
% 1.10/1.33 ((~(X!1 = cell34)) | (~(Y!0 = cell35))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3618, 7133])).
% 1.10/1.33 tff(7135,plain,
% 1.10/1.33 ((cell36 = cell90) <=> (cell36 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7136,plain,
% 1.10/1.33 ((cell36 = cell90) <=> (Y!0 = cell36)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7135, 2765])).
% 1.10/1.33 tff(7137,plain,
% 1.10/1.33 ((~(cell36 = cell90)) <=> (~(Y!0 = cell36))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7136])).
% 1.10/1.33 tff(7138,plain,
% 1.10/1.33 (~(Y!0 = cell36)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6222, 7137])).
% 1.10/1.33 tff(7139,plain,
% 1.10/1.33 ((~(X!1 = cell35)) | (~(Y!0 = cell36))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3620, 7138])).
% 1.10/1.33 tff(7140,plain,
% 1.10/1.33 ((cell37 = cell90) <=> (cell37 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7141,plain,
% 1.10/1.33 ((cell37 = cell90) <=> (Y!0 = cell37)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7140, 2775])).
% 1.10/1.33 tff(7142,plain,
% 1.10/1.33 ((~(cell37 = cell90)) <=> (~(Y!0 = cell37))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7141])).
% 1.10/1.33 tff(7143,plain,
% 1.10/1.33 (~(Y!0 = cell37)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6230, 7142])).
% 1.10/1.33 tff(7144,plain,
% 1.10/1.33 ((~(X!1 = cell36)) | (~(Y!0 = cell37))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3622, 7143])).
% 1.10/1.33 tff(7145,plain,
% 1.10/1.33 ((cell38 = cell90) <=> (cell38 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7146,plain,
% 1.10/1.33 ((cell38 = cell90) <=> (Y!0 = cell38)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7145, 2785])).
% 1.10/1.33 tff(7147,plain,
% 1.10/1.33 ((~(cell38 = cell90)) <=> (~(Y!0 = cell38))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7146])).
% 1.10/1.33 tff(7148,plain,
% 1.10/1.33 (~(Y!0 = cell38)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6238, 7147])).
% 1.10/1.33 tff(7149,plain,
% 1.10/1.33 ((~(X!1 = cell37)) | (~(Y!0 = cell38))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3624, 7148])).
% 1.10/1.33 tff(7150,plain,
% 1.10/1.33 ((cell39 = cell90) <=> (cell39 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7151,plain,
% 1.10/1.33 ((cell39 = cell90) <=> (Y!0 = cell39)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7150, 2795])).
% 1.10/1.33 tff(7152,plain,
% 1.10/1.33 ((~(cell39 = cell90)) <=> (~(Y!0 = cell39))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7151])).
% 1.10/1.33 tff(7153,plain,
% 1.10/1.33 (~(Y!0 = cell39)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6246, 7152])).
% 1.10/1.33 tff(7154,plain,
% 1.10/1.33 ((~(X!1 = cell38)) | (~(Y!0 = cell39))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3626, 7153])).
% 1.10/1.33 tff(7155,plain,
% 1.10/1.33 ((cell40 = cell90) <=> (cell40 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7156,plain,
% 1.10/1.33 ((cell40 = cell90) <=> (Y!0 = cell40)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7155, 3406])).
% 1.10/1.33 tff(7157,plain,
% 1.10/1.33 ((~(cell40 = cell90)) <=> (~(Y!0 = cell40))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7156])).
% 1.10/1.33 tff(7158,plain,
% 1.10/1.33 (~(Y!0 = cell40)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6254, 7157])).
% 1.10/1.33 tff(7159,plain,
% 1.10/1.33 ((~(X!1 = cell39)) | (~(Y!0 = cell40))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3628, 7158])).
% 1.10/1.33 tff(7160,plain,
% 1.10/1.33 ((cell42 = cell90) <=> (cell42 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7161,plain,
% 1.10/1.33 ((cell42 = cell90) <=> (Y!0 = cell42)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7160, 2815])).
% 1.10/1.33 tff(7162,plain,
% 1.10/1.33 ((~(cell42 = cell90)) <=> (~(Y!0 = cell42))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7161])).
% 1.10/1.33 tff(7163,plain,
% 1.10/1.33 (~(Y!0 = cell42)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6262, 7162])).
% 1.10/1.33 tff(7164,plain,
% 1.10/1.33 ((~(X!1 = cell41)) | (~(Y!0 = cell42))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3630, 7163])).
% 1.10/1.33 tff(7165,plain,
% 1.10/1.33 ((cell43 = cell90) <=> (cell43 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7166,plain,
% 1.10/1.33 ((cell43 = cell90) <=> (Y!0 = cell43)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7165, 2825])).
% 1.10/1.33 tff(7167,plain,
% 1.10/1.33 ((~(cell43 = cell90)) <=> (~(Y!0 = cell43))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7166])).
% 1.10/1.33 tff(7168,plain,
% 1.10/1.33 (~(Y!0 = cell43)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6270, 7167])).
% 1.10/1.33 tff(7169,plain,
% 1.10/1.33 ((~(X!1 = cell42)) | (~(Y!0 = cell43))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3632, 7168])).
% 1.10/1.33 tff(7170,plain,
% 1.10/1.33 ((cell44 = cell90) <=> (cell44 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7171,plain,
% 1.10/1.33 ((cell44 = cell90) <=> (Y!0 = cell44)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7170, 2835])).
% 1.10/1.33 tff(7172,plain,
% 1.10/1.33 ((~(cell44 = cell90)) <=> (~(Y!0 = cell44))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7171])).
% 1.10/1.33 tff(7173,plain,
% 1.10/1.33 (~(Y!0 = cell44)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6278, 7172])).
% 1.10/1.33 tff(7174,plain,
% 1.10/1.33 ((~(X!1 = cell43)) | (~(Y!0 = cell44))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3634, 7173])).
% 1.10/1.33 tff(7175,plain,
% 1.10/1.33 ((cell45 = cell90) <=> (cell45 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7176,plain,
% 1.10/1.33 ((cell45 = cell90) <=> (Y!0 = cell45)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7175, 2845])).
% 1.10/1.33 tff(7177,plain,
% 1.10/1.33 ((~(cell45 = cell90)) <=> (~(Y!0 = cell45))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7176])).
% 1.10/1.33 tff(7178,plain,
% 1.10/1.33 (~(Y!0 = cell45)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6286, 7177])).
% 1.10/1.33 tff(7179,plain,
% 1.10/1.33 ((~(X!1 = cell44)) | (~(Y!0 = cell45))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3636, 7178])).
% 1.10/1.33 tff(7180,plain,
% 1.10/1.33 ((cell46 = cell90) <=> (cell46 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7181,plain,
% 1.10/1.33 ((cell46 = cell90) <=> (Y!0 = cell46)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7180, 2855])).
% 1.10/1.33 tff(7182,plain,
% 1.10/1.33 ((~(cell46 = cell90)) <=> (~(Y!0 = cell46))),
% 1.10/1.33 inference(monotonicity,[status(thm)],[7181])).
% 1.10/1.33 tff(7183,plain,
% 1.10/1.33 (~(Y!0 = cell46)),
% 1.10/1.33 inference(modus_ponens,[status(thm)],[6294, 7182])).
% 1.10/1.33 tff(7184,plain,
% 1.10/1.33 ((~(X!1 = cell45)) | (~(Y!0 = cell46))),
% 1.10/1.33 inference(unit_resolution,[status(thm)],[3638, 7183])).
% 1.10/1.33 tff(7185,plain,
% 1.10/1.33 ((cell47 = cell90) <=> (cell47 = Y!0)),
% 1.10/1.33 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.33 tff(7186,plain,
% 1.10/1.33 ((cell47 = cell90) <=> (Y!0 = cell47)),
% 1.10/1.33 inference(transitivity,[status(thm)],[7185, 2865])).
% 1.10/1.33 tff(7187,plain,
% 1.10/1.34 ((~(cell47 = cell90)) <=> (~(Y!0 = cell47))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7186])).
% 1.10/1.34 tff(7188,plain,
% 1.10/1.34 (~(Y!0 = cell47)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6302, 7187])).
% 1.10/1.34 tff(7189,plain,
% 1.10/1.34 ((~(X!1 = cell46)) | (~(Y!0 = cell47))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3640, 7188])).
% 1.10/1.34 tff(7190,plain,
% 1.10/1.34 ((cell48 = cell90) <=> (cell48 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.34 tff(7191,plain,
% 1.10/1.34 ((cell48 = cell90) <=> (Y!0 = cell48)),
% 1.10/1.34 inference(transitivity,[status(thm)],[7190, 2875])).
% 1.10/1.34 tff(7192,plain,
% 1.10/1.34 ((~(cell48 = cell90)) <=> (~(Y!0 = cell48))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7191])).
% 1.10/1.34 tff(7193,plain,
% 1.10/1.34 (~(Y!0 = cell48)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6310, 7192])).
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% 1.10/1.34 ((~(X!1 = cell47)) | (~(Y!0 = cell48))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3642, 7193])).
% 1.10/1.34 tff(7195,plain,
% 1.10/1.34 ((cell49 = cell90) <=> (cell49 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.34 tff(7196,plain,
% 1.10/1.34 ((cell49 = cell90) <=> (Y!0 = cell49)),
% 1.10/1.34 inference(transitivity,[status(thm)],[7195, 2885])).
% 1.10/1.34 tff(7197,plain,
% 1.10/1.34 ((~(cell49 = cell90)) <=> (~(Y!0 = cell49))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7196])).
% 1.10/1.34 tff(7198,plain,
% 1.10/1.34 (~(Y!0 = cell49)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6318, 7197])).
% 1.10/1.34 tff(7199,plain,
% 1.10/1.34 ((~(X!1 = cell48)) | (~(Y!0 = cell49))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3644, 7198])).
% 1.10/1.34 tff(7200,plain,
% 1.10/1.34 ((cell50 = cell90) <=> (cell50 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.34 tff(7201,plain,
% 1.10/1.34 ((cell50 = cell90) <=> (Y!0 = cell50)),
% 1.10/1.34 inference(transitivity,[status(thm)],[7200, 3434])).
% 1.10/1.34 tff(7202,plain,
% 1.10/1.34 ((~(cell50 = cell90)) <=> (~(Y!0 = cell50))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7201])).
% 1.10/1.34 tff(7203,plain,
% 1.10/1.34 (~(Y!0 = cell50)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6326, 7202])).
% 1.10/1.34 tff(7204,plain,
% 1.10/1.34 ((~(X!1 = cell49)) | (~(Y!0 = cell50))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3646, 7203])).
% 1.10/1.34 tff(7205,plain,
% 1.10/1.34 ((cell52 = cell90) <=> (cell52 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.34 tff(7206,plain,
% 1.10/1.34 ((cell52 = cell90) <=> (Y!0 = cell52)),
% 1.10/1.34 inference(transitivity,[status(thm)],[7205, 2905])).
% 1.10/1.34 tff(7207,plain,
% 1.10/1.34 ((~(cell52 = cell90)) <=> (~(Y!0 = cell52))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7206])).
% 1.10/1.34 tff(7208,plain,
% 1.10/1.34 (~(Y!0 = cell52)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6334, 7207])).
% 1.10/1.34 tff(7209,plain,
% 1.10/1.34 ((~(X!1 = cell51)) | (~(Y!0 = cell52))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3648, 7208])).
% 1.10/1.34 tff(7210,plain,
% 1.10/1.34 ((cell53 = cell90) <=> (cell53 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.34 tff(7211,plain,
% 1.10/1.34 ((cell53 = cell90) <=> (Y!0 = cell53)),
% 1.10/1.34 inference(transitivity,[status(thm)],[7210, 2915])).
% 1.10/1.34 tff(7212,plain,
% 1.10/1.34 ((~(cell53 = cell90)) <=> (~(Y!0 = cell53))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7211])).
% 1.10/1.34 tff(7213,plain,
% 1.10/1.34 (~(Y!0 = cell53)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6342, 7212])).
% 1.10/1.34 tff(7214,plain,
% 1.10/1.34 ((~(X!1 = cell52)) | (~(Y!0 = cell53))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3650, 7213])).
% 1.10/1.34 tff(7215,plain,
% 1.10/1.34 ((cell54 = cell90) <=> (cell54 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.34 tff(7216,plain,
% 1.10/1.34 ((cell54 = cell90) <=> (Y!0 = cell54)),
% 1.10/1.34 inference(transitivity,[status(thm)],[7215, 2925])).
% 1.10/1.34 tff(7217,plain,
% 1.10/1.34 ((~(cell54 = cell90)) <=> (~(Y!0 = cell54))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7216])).
% 1.10/1.34 tff(7218,plain,
% 1.10/1.34 (~(Y!0 = cell54)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6350, 7217])).
% 1.10/1.34 tff(7219,plain,
% 1.10/1.34 ((~(X!1 = cell53)) | (~(Y!0 = cell54))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3652, 7218])).
% 1.10/1.34 tff(7220,plain,
% 1.10/1.34 ((cell55 = cell90) <=> (cell55 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.34 tff(7221,plain,
% 1.10/1.34 ((cell55 = cell90) <=> (Y!0 = cell55)),
% 1.10/1.34 inference(transitivity,[status(thm)],[7220, 2935])).
% 1.10/1.34 tff(7222,plain,
% 1.10/1.34 ((~(cell55 = cell90)) <=> (~(Y!0 = cell55))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7221])).
% 1.10/1.34 tff(7223,plain,
% 1.10/1.34 (~(Y!0 = cell55)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6358, 7222])).
% 1.10/1.34 tff(7224,plain,
% 1.10/1.34 ((~(X!1 = cell54)) | (~(Y!0 = cell55))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3654, 7223])).
% 1.10/1.34 tff(7225,plain,
% 1.10/1.34 ((cell56 = cell90) <=> (cell56 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.34 tff(7226,plain,
% 1.10/1.34 ((cell56 = cell90) <=> (Y!0 = cell56)),
% 1.10/1.34 inference(transitivity,[status(thm)],[7225, 2945])).
% 1.10/1.34 tff(7227,plain,
% 1.10/1.34 ((~(cell56 = cell90)) <=> (~(Y!0 = cell56))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7226])).
% 1.10/1.34 tff(7228,plain,
% 1.10/1.34 (~(Y!0 = cell56)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6366, 7227])).
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% 1.10/1.34 ((~(X!1 = cell55)) | (~(Y!0 = cell56))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3656, 7228])).
% 1.10/1.34 tff(7230,plain,
% 1.10/1.34 ((cell57 = cell90) <=> (cell57 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
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% 1.10/1.34 ((cell57 = cell90) <=> (Y!0 = cell57)),
% 1.10/1.34 inference(transitivity,[status(thm)],[7230, 2955])).
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% 1.10/1.34 ((~(cell57 = cell90)) <=> (~(Y!0 = cell57))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7231])).
% 1.10/1.34 tff(7233,plain,
% 1.10/1.34 (~(Y!0 = cell57)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6374, 7232])).
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% 1.10/1.34 ((~(X!1 = cell56)) | (~(Y!0 = cell57))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3658, 7233])).
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% 1.10/1.34 ((cell58 = cell90) <=> (cell58 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
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% 1.10/1.34 ((cell58 = cell90) <=> (Y!0 = cell58)),
% 1.10/1.34 inference(transitivity,[status(thm)],[7235, 2965])).
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% 1.10/1.34 ((~(cell58 = cell90)) <=> (~(Y!0 = cell58))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7236])).
% 1.10/1.34 tff(7238,plain,
% 1.10/1.34 (~(Y!0 = cell58)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6382, 7237])).
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% 1.10/1.34 ((~(X!1 = cell57)) | (~(Y!0 = cell58))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3660, 7238])).
% 1.10/1.34 tff(7240,plain,
% 1.10/1.34 ((cell59 = cell90) <=> (cell59 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
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% 1.10/1.34 ((cell59 = cell90) <=> (Y!0 = cell59)),
% 1.10/1.34 inference(transitivity,[status(thm)],[7240, 2975])).
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% 1.10/1.34 ((~(cell59 = cell90)) <=> (~(Y!0 = cell59))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7241])).
% 1.10/1.34 tff(7243,plain,
% 1.10/1.34 (~(Y!0 = cell59)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6390, 7242])).
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% 1.10/1.34 ((~(X!1 = cell58)) | (~(Y!0 = cell59))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3662, 7243])).
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% 1.10/1.34 ((cell60 = cell90) <=> (cell60 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
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% 1.10/1.34 ((cell60 = cell90) <=> (Y!0 = cell60)),
% 1.10/1.34 inference(transitivity,[status(thm)],[7245, 3462])).
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% 1.10/1.34 ((~(cell60 = cell90)) <=> (~(Y!0 = cell60))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7246])).
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% 1.10/1.34 (~(Y!0 = cell60)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6398, 7247])).
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% 1.10/1.34 ((~(X!1 = cell59)) | (~(Y!0 = cell60))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3664, 7248])).
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% 1.10/1.34 ((cell62 = cell90) <=> (cell62 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.34 tff(7251,plain,
% 1.10/1.34 ((cell62 = cell90) <=> (Y!0 = cell62)),
% 1.10/1.34 inference(transitivity,[status(thm)],[7250, 2995])).
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% 1.10/1.34 ((~(cell62 = cell90)) <=> (~(Y!0 = cell62))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7251])).
% 1.10/1.34 tff(7253,plain,
% 1.10/1.34 (~(Y!0 = cell62)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6406, 7252])).
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% 1.10/1.34 ((~(X!1 = cell61)) | (~(Y!0 = cell62))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3666, 7253])).
% 1.10/1.34 tff(7255,plain,
% 1.10/1.34 ((cell63 = cell90) <=> (cell63 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.34 tff(7256,plain,
% 1.10/1.34 ((cell63 = cell90) <=> (Y!0 = cell63)),
% 1.10/1.34 inference(transitivity,[status(thm)],[7255, 3005])).
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% 1.10/1.34 ((~(cell63 = cell90)) <=> (~(Y!0 = cell63))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7256])).
% 1.10/1.34 tff(7258,plain,
% 1.10/1.34 (~(Y!0 = cell63)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6414, 7257])).
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% 1.10/1.34 ((~(X!1 = cell62)) | (~(Y!0 = cell63))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3668, 7258])).
% 1.10/1.34 tff(7260,plain,
% 1.10/1.34 ((cell64 = cell90) <=> (cell64 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.34 tff(7261,plain,
% 1.10/1.34 ((cell64 = cell90) <=> (Y!0 = cell64)),
% 1.10/1.34 inference(transitivity,[status(thm)],[7260, 3015])).
% 1.10/1.34 tff(7262,plain,
% 1.10/1.34 ((~(cell64 = cell90)) <=> (~(Y!0 = cell64))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7261])).
% 1.10/1.34 tff(7263,plain,
% 1.10/1.34 (~(Y!0 = cell64)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6422, 7262])).
% 1.10/1.34 tff(7264,plain,
% 1.10/1.34 ((~(X!1 = cell63)) | (~(Y!0 = cell64))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3670, 7263])).
% 1.10/1.34 tff(7265,plain,
% 1.10/1.34 ((cell65 = cell90) <=> (cell65 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.34 tff(7266,plain,
% 1.10/1.34 ((cell65 = cell90) <=> (Y!0 = cell65)),
% 1.10/1.34 inference(transitivity,[status(thm)],[7265, 3025])).
% 1.10/1.34 tff(7267,plain,
% 1.10/1.34 ((~(cell65 = cell90)) <=> (~(Y!0 = cell65))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7266])).
% 1.10/1.34 tff(7268,plain,
% 1.10/1.34 (~(Y!0 = cell65)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6430, 7267])).
% 1.10/1.34 tff(7269,plain,
% 1.10/1.34 ((~(X!1 = cell64)) | (~(Y!0 = cell65))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3672, 7268])).
% 1.10/1.34 tff(7270,plain,
% 1.10/1.34 ((cell66 = cell90) <=> (cell66 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.34 tff(7271,plain,
% 1.10/1.34 ((cell66 = cell90) <=> (Y!0 = cell66)),
% 1.10/1.34 inference(transitivity,[status(thm)],[7270, 3035])).
% 1.10/1.34 tff(7272,plain,
% 1.10/1.34 ((~(cell66 = cell90)) <=> (~(Y!0 = cell66))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7271])).
% 1.10/1.34 tff(7273,plain,
% 1.10/1.34 (~(Y!0 = cell66)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6438, 7272])).
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% 1.10/1.34 ((~(X!1 = cell65)) | (~(Y!0 = cell66))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3674, 7273])).
% 1.10/1.34 tff(7275,plain,
% 1.10/1.34 ((cell67 = cell90) <=> (cell67 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.34 tff(7276,plain,
% 1.10/1.34 ((cell67 = cell90) <=> (Y!0 = cell67)),
% 1.10/1.34 inference(transitivity,[status(thm)],[7275, 3045])).
% 1.10/1.34 tff(7277,plain,
% 1.10/1.34 ((~(cell67 = cell90)) <=> (~(Y!0 = cell67))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7276])).
% 1.10/1.34 tff(7278,plain,
% 1.10/1.34 (~(Y!0 = cell67)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6446, 7277])).
% 1.10/1.34 tff(7279,plain,
% 1.10/1.34 ((~(X!1 = cell66)) | (~(Y!0 = cell67))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3676, 7278])).
% 1.10/1.34 tff(7280,plain,
% 1.10/1.34 ((cell68 = cell90) <=> (cell68 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.34 tff(7281,plain,
% 1.10/1.34 ((cell68 = cell90) <=> (Y!0 = cell68)),
% 1.10/1.34 inference(transitivity,[status(thm)],[7280, 3055])).
% 1.10/1.34 tff(7282,plain,
% 1.10/1.34 ((~(cell68 = cell90)) <=> (~(Y!0 = cell68))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7281])).
% 1.10/1.34 tff(7283,plain,
% 1.10/1.34 (~(Y!0 = cell68)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6454, 7282])).
% 1.10/1.34 tff(7284,plain,
% 1.10/1.34 ((~(X!1 = cell67)) | (~(Y!0 = cell68))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3678, 7283])).
% 1.10/1.34 tff(7285,plain,
% 1.10/1.34 ((cell69 = cell90) <=> (cell69 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.34 tff(7286,plain,
% 1.10/1.34 ((cell69 = cell90) <=> (Y!0 = cell69)),
% 1.10/1.34 inference(transitivity,[status(thm)],[7285, 3065])).
% 1.10/1.34 tff(7287,plain,
% 1.10/1.34 ((~(cell69 = cell90)) <=> (~(Y!0 = cell69))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7286])).
% 1.10/1.34 tff(7288,plain,
% 1.10/1.34 (~(Y!0 = cell69)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6462, 7287])).
% 1.10/1.34 tff(7289,plain,
% 1.10/1.34 ((~(X!1 = cell68)) | (~(Y!0 = cell69))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3680, 7288])).
% 1.10/1.34 tff(7290,plain,
% 1.10/1.34 ((cell70 = cell90) <=> (cell70 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.34 tff(7291,plain,
% 1.10/1.34 ((cell70 = cell90) <=> (Y!0 = cell70)),
% 1.10/1.34 inference(transitivity,[status(thm)],[7290, 3490])).
% 1.10/1.34 tff(7292,plain,
% 1.10/1.34 ((~(cell70 = cell90)) <=> (~(Y!0 = cell70))),
% 1.10/1.34 inference(monotonicity,[status(thm)],[7291])).
% 1.10/1.34 tff(7293,plain,
% 1.10/1.34 (~(Y!0 = cell70)),
% 1.10/1.34 inference(modus_ponens,[status(thm)],[6470, 7292])).
% 1.10/1.34 tff(7294,plain,
% 1.10/1.34 ((~(X!1 = cell69)) | (~(Y!0 = cell70))),
% 1.10/1.34 inference(unit_resolution,[status(thm)],[3682, 7293])).
% 1.10/1.34 tff(7295,plain,
% 1.10/1.34 ((cell72 = cell90) <=> (cell72 = Y!0)),
% 1.10/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.10/1.34 tff(7296,plain,
% 1.10/1.34 ((cell72 = cell90) <=> (Y!0 = cell72)),
% 1.17/1.34 inference(transitivity,[status(thm)],[7295, 3085])).
% 1.17/1.34 tff(7297,plain,
% 1.17/1.34 ((~(cell72 = cell90)) <=> (~(Y!0 = cell72))),
% 1.17/1.34 inference(monotonicity,[status(thm)],[7296])).
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% 1.17/1.34 (~(Y!0 = cell72)),
% 1.17/1.34 inference(modus_ponens,[status(thm)],[6478, 7297])).
% 1.17/1.34 tff(7299,plain,
% 1.17/1.34 ((~(X!1 = cell71)) | (~(Y!0 = cell72))),
% 1.17/1.34 inference(unit_resolution,[status(thm)],[3684, 7298])).
% 1.17/1.34 tff(7300,plain,
% 1.17/1.34 ((cell73 = cell90) <=> (cell73 = Y!0)),
% 1.17/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.17/1.34 tff(7301,plain,
% 1.17/1.34 ((cell73 = cell90) <=> (Y!0 = cell73)),
% 1.17/1.34 inference(transitivity,[status(thm)],[7300, 3095])).
% 1.17/1.34 tff(7302,plain,
% 1.17/1.34 ((~(cell73 = cell90)) <=> (~(Y!0 = cell73))),
% 1.17/1.34 inference(monotonicity,[status(thm)],[7301])).
% 1.17/1.34 tff(7303,plain,
% 1.17/1.34 (~(Y!0 = cell73)),
% 1.17/1.34 inference(modus_ponens,[status(thm)],[6486, 7302])).
% 1.17/1.34 tff(7304,plain,
% 1.17/1.34 ((~(X!1 = cell72)) | (~(Y!0 = cell73))),
% 1.17/1.34 inference(unit_resolution,[status(thm)],[3686, 7303])).
% 1.17/1.34 tff(7305,plain,
% 1.17/1.34 ((cell74 = cell90) <=> (cell74 = Y!0)),
% 1.17/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.17/1.34 tff(7306,plain,
% 1.17/1.34 ((cell74 = cell90) <=> (Y!0 = cell74)),
% 1.17/1.34 inference(transitivity,[status(thm)],[7305, 3105])).
% 1.17/1.34 tff(7307,plain,
% 1.17/1.34 ((~(cell74 = cell90)) <=> (~(Y!0 = cell74))),
% 1.17/1.34 inference(monotonicity,[status(thm)],[7306])).
% 1.17/1.34 tff(7308,plain,
% 1.17/1.34 (~(Y!0 = cell74)),
% 1.17/1.34 inference(modus_ponens,[status(thm)],[6494, 7307])).
% 1.17/1.34 tff(7309,plain,
% 1.17/1.34 ((~(X!1 = cell73)) | (~(Y!0 = cell74))),
% 1.17/1.34 inference(unit_resolution,[status(thm)],[3688, 7308])).
% 1.17/1.34 tff(7310,plain,
% 1.17/1.34 ((cell75 = cell90) <=> (cell75 = Y!0)),
% 1.17/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.17/1.34 tff(7311,plain,
% 1.17/1.34 ((cell75 = cell90) <=> (Y!0 = cell75)),
% 1.17/1.34 inference(transitivity,[status(thm)],[7310, 3115])).
% 1.17/1.34 tff(7312,plain,
% 1.17/1.34 ((~(cell75 = cell90)) <=> (~(Y!0 = cell75))),
% 1.17/1.34 inference(monotonicity,[status(thm)],[7311])).
% 1.17/1.34 tff(7313,plain,
% 1.17/1.34 (~(Y!0 = cell75)),
% 1.17/1.34 inference(modus_ponens,[status(thm)],[6502, 7312])).
% 1.17/1.34 tff(7314,plain,
% 1.17/1.34 ((~(X!1 = cell74)) | (~(Y!0 = cell75))),
% 1.17/1.34 inference(unit_resolution,[status(thm)],[3690, 7313])).
% 1.17/1.34 tff(7315,plain,
% 1.17/1.34 ((cell76 = cell90) <=> (cell76 = Y!0)),
% 1.17/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.17/1.34 tff(7316,plain,
% 1.17/1.34 ((cell76 = cell90) <=> (Y!0 = cell76)),
% 1.17/1.34 inference(transitivity,[status(thm)],[7315, 3125])).
% 1.17/1.34 tff(7317,plain,
% 1.17/1.34 ((~(cell76 = cell90)) <=> (~(Y!0 = cell76))),
% 1.17/1.34 inference(monotonicity,[status(thm)],[7316])).
% 1.17/1.34 tff(7318,plain,
% 1.17/1.34 (~(Y!0 = cell76)),
% 1.17/1.34 inference(modus_ponens,[status(thm)],[6510, 7317])).
% 1.17/1.34 tff(7319,plain,
% 1.17/1.34 ((~(X!1 = cell75)) | (~(Y!0 = cell76))),
% 1.17/1.34 inference(unit_resolution,[status(thm)],[3692, 7318])).
% 1.17/1.34 tff(7320,plain,
% 1.17/1.34 ((cell77 = cell90) <=> (cell77 = Y!0)),
% 1.17/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.17/1.34 tff(7321,plain,
% 1.17/1.34 ((cell77 = cell90) <=> (Y!0 = cell77)),
% 1.17/1.34 inference(transitivity,[status(thm)],[7320, 3135])).
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% 1.17/1.34 ((~(cell77 = cell90)) <=> (~(Y!0 = cell77))),
% 1.17/1.34 inference(monotonicity,[status(thm)],[7321])).
% 1.17/1.34 tff(7323,plain,
% 1.17/1.34 (~(Y!0 = cell77)),
% 1.17/1.34 inference(modus_ponens,[status(thm)],[6518, 7322])).
% 1.17/1.34 tff(7324,plain,
% 1.17/1.34 ((~(X!1 = cell76)) | (~(Y!0 = cell77))),
% 1.17/1.34 inference(unit_resolution,[status(thm)],[3694, 7323])).
% 1.17/1.34 tff(7325,plain,
% 1.17/1.34 ((cell78 = cell90) <=> (cell78 = Y!0)),
% 1.17/1.34 inference(monotonicity,[status(thm)],[1977])).
% 1.17/1.34 tff(7326,plain,
% 1.17/1.34 ((cell78 = cell90) <=> (Y!0 = cell78)),
% 1.17/1.34 inference(transitivity,[status(thm)],[7325, 3145])).
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% 1.17/1.34 ((~(cell78 = cell90)) <=> (~(Y!0 = cell78))),
% 1.17/1.34 inference(monotonicity,[status(thm)],[7326])).
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% 1.17/1.34 (~(Y!0 = cell78)),
% 1.17/1.34 inference(modus_ponens,[status(thm)],[6526, 7327])).
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% 1.17/1.34 ((~(X!1 = cell77)) | (~(Y!0 = cell78))),
% 1.17/1.34 inference(unit_resolution,[status(thm)],[3696, 7328])).
% 1.17/1.34 tff(7330,plain,
% 1.17/1.34 ((cell79 = cell90) <=> (cell79 = Y!0)),
% 1.17/1.34 inference(monotonicity,[status(thm)],[1977])).
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% 1.17/1.34 ((cell79 = cell90) <=> (Y!0 = cell79)),
% 1.17/1.34 inference(transitivity,[status(thm)],[7330, 2036])).
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% 1.17/1.34 ((~(cell79 = cell90)) <=> (~(Y!0 = cell79))),
% 1.17/1.34 inference(monotonicity,[status(thm)],[7331])).
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% 1.17/1.34 inference(modus_ponens,[status(thm)],[3546, 7332])).
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% 1.17/1.34 ((~(X!1 = cell78)) | (~(Y!0 = cell79))),
% 1.17/1.34 inference(unit_resolution,[status(thm)],[5047, 7333])).
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% 1.17/1.34 ((cell80 = cell90) <=> (cell80 = Y!0)),
% 1.17/1.34 inference(monotonicity,[status(thm)],[1977])).
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% 1.17/1.34 ((cell80 = cell90) <=> (Y!0 = cell80)),
% 1.17/1.34 inference(transitivity,[status(thm)],[7335, 3518])).
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% 1.17/1.34 ((~(cell80 = cell90)) <=> (~(Y!0 = cell80))),
% 1.17/1.34 inference(monotonicity,[status(thm)],[7336])).
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% 1.17/1.34 inference(modus_ponens,[status(thm)],[6539, 7337])).
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% 1.17/1.34 inference(unit_resolution,[status(thm)],[3698, 7338])).
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% 1.17/1.34 ((cell82 = cell90) <=> (cell82 = Y!0)),
% 1.17/1.34 inference(monotonicity,[status(thm)],[1977])).
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% 1.17/1.34 inference(transitivity,[status(thm)],[7340, 3173])).
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% 1.17/1.34 inference(monotonicity,[status(thm)],[7341])).
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% 1.17/1.34 inference(modus_ponens,[status(thm)],[6547, 7342])).
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% 1.17/1.34 inference(unit_resolution,[status(thm)],[3700, 7343])).
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% 1.17/1.34 ((cell83 = cell90) <=> (cell83 = Y!0)),
% 1.17/1.34 inference(monotonicity,[status(thm)],[1977])).
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% 1.17/1.34 inference(transitivity,[status(thm)],[7345, 3183])).
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% 1.17/1.34 inference(monotonicity,[status(thm)],[7346])).
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% 1.17/1.34 inference(modus_ponens,[status(thm)],[6555, 7347])).
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% 1.17/1.34 ((~(X!1 = cell82)) | (~(Y!0 = cell83))),
% 1.17/1.34 inference(unit_resolution,[status(thm)],[3702, 7348])).
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% 1.17/1.34 ((cell84 = cell90) <=> (cell84 = Y!0)),
% 1.17/1.34 inference(monotonicity,[status(thm)],[1977])).
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% 1.17/1.34 inference(transitivity,[status(thm)],[7350, 3193])).
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% 1.17/1.34 inference(monotonicity,[status(thm)],[7351])).
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% 1.17/1.34 (~(Y!0 = cell84)),
% 1.17/1.34 inference(modus_ponens,[status(thm)],[6563, 7352])).
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% 1.17/1.34 ((~(X!1 = cell83)) | (~(Y!0 = cell84))),
% 1.17/1.34 inference(unit_resolution,[status(thm)],[3704, 7353])).
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% 1.17/1.34 ((cell85 = cell90) <=> (cell85 = Y!0)),
% 1.17/1.34 inference(monotonicity,[status(thm)],[1977])).
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% 1.17/1.34 ((cell85 = cell90) <=> (Y!0 = cell85)),
% 1.17/1.34 inference(transitivity,[status(thm)],[7355, 3203])).
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% 1.17/1.34 ((~(cell85 = cell90)) <=> (~(Y!0 = cell85))),
% 1.17/1.34 inference(monotonicity,[status(thm)],[7356])).
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% 1.17/1.34 (~(Y!0 = cell85)),
% 1.17/1.34 inference(modus_ponens,[status(thm)],[6571, 7357])).
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% 1.17/1.34 ((~(X!1 = cell84)) | (~(Y!0 = cell85))),
% 1.17/1.34 inference(unit_resolution,[status(thm)],[3706, 7358])).
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% 1.17/1.34 ((cell86 = cell90) <=> (cell86 = Y!0)),
% 1.17/1.34 inference(monotonicity,[status(thm)],[1977])).
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% 1.17/1.34 ((cell86 = cell90) <=> (Y!0 = cell86)),
% 1.17/1.34 inference(transitivity,[status(thm)],[7360, 3213])).
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% 1.17/1.34 inference(monotonicity,[status(thm)],[7361])).
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% 1.17/1.34 (~(Y!0 = cell86)),
% 1.17/1.34 inference(modus_ponens,[status(thm)],[6579, 7362])).
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% 1.17/1.34 ((~(X!1 = cell85)) | (~(Y!0 = cell86))),
% 1.17/1.34 inference(unit_resolution,[status(thm)],[3708, 7363])).
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% 1.17/1.34 ((cell87 = cell90) <=> (cell87 = Y!0)),
% 1.17/1.34 inference(monotonicity,[status(thm)],[1977])).
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% 1.17/1.34 ((cell87 = cell90) <=> (Y!0 = cell87)),
% 1.17/1.34 inference(transitivity,[status(thm)],[7365, 3223])).
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% 1.17/1.34 ((~(cell87 = cell90)) <=> (~(Y!0 = cell87))),
% 1.17/1.34 inference(monotonicity,[status(thm)],[7366])).
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% 1.17/1.34 (~(Y!0 = cell87)),
% 1.17/1.34 inference(modus_ponens,[status(thm)],[6587, 7367])).
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% 1.17/1.34 ((~(X!1 = cell86)) | (~(Y!0 = cell87))),
% 1.17/1.34 inference(unit_resolution,[status(thm)],[3710, 7368])).
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% 1.17/1.34 ((cell88 = cell90) <=> (cell88 = Y!0)),
% 1.17/1.34 inference(monotonicity,[status(thm)],[1977])).
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% 1.17/1.34 ((cell88 = cell90) <=> (Y!0 = cell88)),
% 1.17/1.34 inference(transitivity,[status(thm)],[7370, 2477])).
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% 1.17/1.34 ((~(cell88 = cell90)) <=> (~(Y!0 = cell88))),
% 1.17/1.34 inference(monotonicity,[status(thm)],[7371])).
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% 1.17/1.34 (~(Y!0 = cell88)),
% 1.17/1.34 inference(modus_ponens,[status(thm)],[6595, 7372])).
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% 1.17/1.34 ((~(X!1 = cell87)) | (~(Y!0 = cell88))),
% 1.17/1.34 inference(unit_resolution,[status(thm)],[3712, 7373])).
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% 1.17/1.34 ((cell89 = cell90) <=> (cell89 = Y!0)),
% 1.17/1.34 inference(monotonicity,[status(thm)],[1977])).
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% 1.17/1.34 ((cell89 = cell90) <=> (Y!0 = cell89)),
% 1.17/1.34 inference(transitivity,[status(thm)],[7375, 3297])).
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% 1.17/1.34 ((~(cell89 = cell90)) <=> (~(Y!0 = cell89))),
% 1.17/1.34 inference(monotonicity,[status(thm)],[7376])).
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% 1.17/1.34 (~(Y!0 = cell89)),
% 1.17/1.34 inference(modus_ponens,[status(thm)],[6603, 7377])).
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% 1.17/1.34 ((~(X!1 = cell88)) | (~(Y!0 = cell89))),
% 1.17/1.34 inference(unit_resolution,[status(thm)],[3714, 7378])).
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% 1.17/1.34 ((cell92 = cell90) <=> (cell92 = Y!0)),
% 1.17/1.34 inference(monotonicity,[status(thm)],[1977])).
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% 1.17/1.34 ((cell92 = cell90) <=> (Y!0 = cell92)),
% 1.17/1.34 inference(transitivity,[status(thm)],[7380, 2408])).
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% 1.17/1.34 inference(monotonicity,[status(thm)],[7381])).
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% 1.17/1.34 inference(modus_ponens,[status(thm)],[6611, 7382])).
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% 1.17/1.34 ((~(X!1 = cell91)) | (~(Y!0 = cell92))),
% 1.17/1.34 inference(unit_resolution,[status(thm)],[3716, 7383])).
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% 1.17/1.34 ((cell93 = cell90) <=> (cell93 = Y!0)),
% 1.17/1.34 inference(monotonicity,[status(thm)],[1977])).
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% 1.17/1.34 ((cell93 = cell90) <=> (Y!0 = cell93)),
% 1.17/1.34 inference(transitivity,[status(thm)],[7385, 2418])).
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% 1.17/1.34 inference(monotonicity,[status(thm)],[7386])).
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% 1.17/1.34 (~(Y!0 = cell93)),
% 1.17/1.34 inference(modus_ponens,[status(thm)],[6619, 7387])).
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% 1.17/1.34 ((~(X!1 = cell92)) | (~(Y!0 = cell93))),
% 1.17/1.34 inference(unit_resolution,[status(thm)],[3718, 7388])).
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% 1.17/1.34 ((cell94 = cell90) <=> (cell94 = Y!0)),
% 1.17/1.34 inference(monotonicity,[status(thm)],[1977])).
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% 1.17/1.34 ((cell94 = cell90) <=> (Y!0 = cell94)),
% 1.17/1.34 inference(transitivity,[status(thm)],[7390, 2428])).
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% 1.17/1.34 inference(monotonicity,[status(thm)],[7391])).
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% 1.17/1.34 (~(Y!0 = cell94)),
% 1.17/1.34 inference(modus_ponens,[status(thm)],[6627, 7392])).
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% 1.17/1.35 inference(unit_resolution,[status(thm)],[2164, 7707, 1977, 7706, 7705, 7704, 7703, 7702, 7701, 7700, 7699, 7698, 7697, 7696, 7695, 7694, 7693, 7692, 7691, 7690, 7689, 7688, 7687, 7686, 7685, 7684, 7683, 7682, 7681, 7680, 7679, 7678, 7677, 7676, 7675, 7674, 7673, 7672, 7671, 7670, 7669, 7668, 7667, 7666, 7665, 7664, 7663, 7662, 7661, 7660, 7659, 7658, 7657, 7656, 7655, 7654, 7653, 7652, 7651, 7650, 7649, 7648, 7647, 7646, 7645, 7644, 7643, 7642, 1908, 7641, 7640, 7639, 7638, 7637, 7636, 7635, 7634, 7633, 7632, 7631, 7630, 7629, 7628, 7627, 7626, 7625, 1996, 7624, 3307, 7623, 3296, 7622, 7621, 7620, 7619, 7618, 7617, 7616, 7615, 7614, 7613, 7612, 7611, 7610, 7609, 7608, 7607, 7606, 7605, 7604, 7603, 7602, 7601, 7600, 7599, 7598, 7597, 7596, 7595, 7594, 7593, 7592, 7591, 7590, 7589, 7588, 7587, 7586, 7585, 7584, 7583, 7582, 7581, 7580, 7579, 7578, 7577, 7576, 7575, 7574, 7573, 7572, 7571, 7570, 7569, 7568, 7567, 7566, 7565, 7564, 7563, 1826, 7562, 7561, 7560, 7559, 7558, 7557, 7556, 2004, 7555, 7554, 7553, 7552, 7551, 7550, 7549, 7548, 7547, 7546, 7543, 7542, 7541, 7540, 7539, 7538, 7537, 7536, 7535, 7534, 7533, 7532, 7531, 7530, 7529, 7528, 7527, 7522, 7521, 7520, 7519, 7518, 7517, 7516, 7515, 7514, 7513, 7508, 7507, 7506, 7505, 7504, 7503, 7502, 7501, 7500, 7499, 7494, 7493, 7492, 7491, 7490, 7489, 7488, 7487, 7486, 7485, 7480, 7479, 7478, 7477, 7476, 7475, 7474, 7473, 7472, 7471, 7466, 7465, 7464, 7463, 7462, 7461, 7460, 7459, 7458, 7457, 7452, 7451, 7450, 7449, 7448, 7447, 7446, 7445, 7444, 7443, 7438, 7437, 7436, 7435, 7434, 7433, 7432, 7431, 7430, 3943, 7429, 7428, 7427, 7426, 7425, 7424, 7423, 7422, 7421, 7420, 7416, 7415, 7414, 7409, 7404, 7399, 7394, 7389, 7384, 3942, 7379, 7374, 7369, 7364, 7359, 7354, 7349, 7344, 7339, 7334, 7329, 7324, 7319, 7314, 7309, 7304, 7299, 7294, 7289, 7284, 7279, 7274, 7269, 7264, 7259, 7254, 7249, 7244, 7239, 7234, 7229, 7224, 7219, 7214, 7209, 7204, 7199, 7194, 7189, 7184, 7179, 7174, 7169, 7164, 7159, 7154, 7149, 7144, 7139, 7134, 7129, 7124, 7119, 7114, 7109, 7104, 7099, 7094, 7089, 7084, 7079, 7074, 7070, 7065, 7060, 7055, 7050, 7045, 1986, 7040, 7036, 7031, 7026, 7021, 7016, 7011, 7006, 7001, 6996, 6995, 6991])).
% 1.17/1.35 tff(7709,plain,
% 1.17/1.35 (X!1 = cell80),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[53, 7708])).
% 1.17/1.35 tff(7710,plain,
% 1.17/1.35 (cell80 = cell2),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[7709, 6987])).
% 1.17/1.35 tff(7711,plain,
% 1.17/1.35 ($false),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[3997, 7710])).
% 1.17/1.35 tff(7712,plain,(patient(cell22) | (~(cell90 = Y!0)) | (~((~(Y!0 = cell21)) | (~(X!1 = cell31)))) | (~((~(Y!0 = cell21)) | (~(X!1 = cell22)))) | patient(cell13) | patient(cell12) | patient(cell11)), inference(lemma,lemma(discharge,[]))).
% 1.17/1.35 tff(7713,plain,
% 1.17/1.35 (patient(cell22)),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[7712, 5982, 4853, 4338, 2388, 2387, 3904])).
% 1.17/1.35 tff(7714,plain,
% 1.17/1.35 (cell22 = X!1),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[5961, 7713, 23, 10])).
% 1.17/1.35 tff(7715,plain,
% 1.17/1.35 ((cell100 = cell22) <=> (cell100 = X!1)),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7714])).
% 1.17/1.35 tff(7716,plain,
% 1.17/1.35 ((cell100 = cell22) <=> (X!1 = cell100)),
% 1.17/1.35 inference(transitivity,[status(thm)],[7715, 235])).
% 1.17/1.35 tff(7717,plain,
% 1.17/1.35 ((~(cell100 = cell22)) <=> (~(X!1 = cell100))),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7716])).
% 1.17/1.35 tff(7718,plain,
% 1.17/1.35 (~(X!1 = cell100)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[5968, 7717])).
% 1.17/1.35 tff(7719,plain,
% 1.17/1.35 ((~(Y!0 = cell90)) | (~(X!1 = cell100))),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[243, 7718])).
% 1.17/1.35 tff(7720,plain,
% 1.17/1.35 ((cell80 = cell22) <=> (cell80 = X!1)),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7714])).
% 1.17/1.35 tff(7721,plain,
% 1.17/1.35 ((cell80 = cell22) <=> (X!1 = cell80)),
% 1.17/1.35 inference(transitivity,[status(thm)],[7720, 45])).
% 1.17/1.35 tff(7722,plain,
% 1.17/1.35 ((~(cell80 = cell22)) <=> (~(X!1 = cell80))),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7721])).
% 1.17/1.35 tff(7723,plain,
% 1.17/1.35 (~(X!1 = cell80)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[4001, 7722])).
% 1.17/1.35 tff(7724,plain,
% 1.17/1.35 ((~(X!1 = cell80)) | (~(Y!0 = cell90))),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[53, 7723])).
% 1.17/1.35 tff(7725,plain,
% 1.17/1.35 ($false),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[2164, 7724, 7719, 5982, 6984, 6983, 6982, 6981, 6980, 6979, 6978, 6977, 6976, 6975, 6974, 6973, 6972, 6971, 6970, 6969, 6968, 6967, 6966, 6965, 6964, 6963, 6962, 6961, 6960, 6959, 6958, 6957, 6956, 6955, 6954, 6953, 6952, 6951, 6950, 6949, 6948, 6947, 6946, 6945, 6944, 6943, 6942, 6941, 6940, 6939, 6938, 6937, 6936, 6935, 6934, 6933, 6932, 6931, 6930, 6929, 6928, 6927, 6926, 6925, 6924, 6923, 6922, 6921, 6920, 4853, 6919, 6918, 6917, 6916, 6915, 6914, 6913, 6912, 6911, 6910, 6909, 6908, 6907, 6906, 6905, 6904, 6903, 6902, 6901, 3307, 6900, 3296, 6899, 6898, 6897, 6896, 6895, 6894, 6893, 6892, 6891, 6890, 6889, 6888, 6887, 6886, 6885, 6884, 6883, 6882, 6881, 6880, 6879, 6878, 6877, 6876, 6875, 6874, 6873, 6872, 6871, 6870, 6869, 6868, 6867, 6866, 6865, 6864, 6863, 6862, 6861, 6860, 6859, 6858, 6857, 6856, 6855, 6854, 6853, 6852, 6851, 6850, 6849, 6848, 6847, 6846, 6845, 6844, 6843, 6842, 6841, 6840, 4338, 6839, 6838, 6837, 6836, 6835, 6834, 6833, 6832, 6831, 6830, 6829, 6828, 6827, 6826, 6825, 6824, 6823, 6822, 6817, 6816, 6815, 6814, 6813, 6812, 6811, 6810, 6809, 6808, 6807, 6806, 6805, 6804, 6803, 6802, 6801, 6793, 6792, 6791, 6790, 6789, 6788, 6787, 6786, 6785, 6784, 6776, 6775, 6774, 6773, 6772, 6771, 6770, 6769, 6768, 6767, 6759, 6758, 6757, 6756, 6755, 6754, 6753, 6752, 6751, 6750, 6742, 6741, 6740, 6739, 6738, 6737, 6736, 6735, 6734, 6733, 6725, 6724, 6723, 6722, 6721, 6720, 6719, 6718, 6717, 6716, 6708, 6707, 6706, 6705, 6704, 6703, 6702, 6701, 6700, 6699, 6691, 6690, 6689, 6688, 6687, 6686, 6685, 6684, 6683, 3943, 6682, 6681, 6680, 6679, 6678, 6677, 6676, 6675, 6674, 6670, 6663, 6662, 6661, 6653, 6645, 6637, 6629, 6621, 6613, 3942, 6605, 6597, 6589, 6581, 6573, 6565, 6557, 6549, 6541, 6533, 6528, 6520, 6512, 6504, 6496, 6488, 6480, 6472, 6464, 6456, 6448, 6440, 6432, 6424, 6416, 6408, 6400, 6392, 6384, 6376, 6368, 6360, 6352, 6344, 6336, 6328, 6320, 6312, 6304, 6296, 6288, 6280, 6272, 6264, 6256, 6248, 6240, 6232, 6224, 6216, 6208, 6200, 6192, 6184, 6176, 6168, 6160, 6152, 6144, 6136, 6128, 6123, 6119, 6111, 6103, 6095, 6087, 6079, 6071, 6066, 6062, 6054, 6046, 6038, 6030, 6022, 6014, 6006, 5998, 5993, 5986])).
% 1.17/1.35 tff(7726,plain,(patient(cell11) | patient(cell13) | patient(cell12) | oxygen(cell89) | oxygen(cell79) | oxygen(cell88)), inference(lemma,lemma(discharge,[]))).
% 1.17/1.35 tff(7727,plain,
% 1.17/1.35 (patient(cell11)),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[7726, 1531, 2387, 2187, 2388, 1976])).
% 1.17/1.35 tff(7728,plain,
% 1.17/1.35 (cell11 = X!1),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[4026, 7727, 23, 10])).
% 1.17/1.35 tff(7729,plain,
% 1.17/1.35 ((cell80 = cell11) <=> (cell80 = X!1)),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.35 tff(7730,plain,
% 1.17/1.35 ((cell80 = cell11) <=> (X!1 = cell80)),
% 1.17/1.35 inference(transitivity,[status(thm)],[7729, 45])).
% 1.17/1.35 tff(7731,plain,
% 1.17/1.35 ((~(cell80 = cell11)) <=> (~(X!1 = cell80))),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7730])).
% 1.17/1.35 tff(7732,plain,
% 1.17/1.35 (~(X!1 = cell80)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[4033, 7731])).
% 1.17/1.35 tff(7733,plain,
% 1.17/1.35 ((~(Y!0 = cell79)) | (~(X!1 = cell80))),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[1517, 7732])).
% 1.17/1.35 tff(7734,plain,
% 1.17/1.35 ((cell92 = cell11) <=> (cell92 = X!1)),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.35 tff(7735,plain,
% 1.17/1.35 ((cell92 = cell11) <=> (X!1 = cell92)),
% 1.17/1.35 inference(transitivity,[status(thm)],[7734, 155])).
% 1.17/1.35 tff(7736,plain,
% 1.17/1.35 ((~(cell92 = cell11)) <=> (~(X!1 = cell92))),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7735])).
% 1.17/1.35 tff(7737,plain,
% 1.17/1.35 ((~(cell92 = cell11)) <=> (~(cell92 = cell11))),
% 1.17/1.35 inference(rewrite,[status(thm)],[])).
% 1.17/1.35 tff(7738,axiom,(~(cell92 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45832')).
% 1.17/1.35 tff(7739,plain,
% 1.17/1.35 (~(cell92 = cell11)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[7738, 7737])).
% 1.17/1.35 tff(7740,plain,
% 1.17/1.35 (~(X!1 = cell92)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[7739, 7736])).
% 1.17/1.35 tff(7741,plain,
% 1.17/1.35 ((~(X!1 = cell92)) | (~(Y!0 = cell91))),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[163, 7740])).
% 1.17/1.35 tff(7742,plain,
% 1.17/1.35 ((cell93 = cell11) <=> (cell93 = X!1)),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.35 tff(7743,plain,
% 1.17/1.35 ((cell93 = cell11) <=> (X!1 = cell93)),
% 1.17/1.35 inference(transitivity,[status(thm)],[7742, 165])).
% 1.17/1.35 tff(7744,plain,
% 1.17/1.35 ((~(cell93 = cell11)) <=> (~(X!1 = cell93))),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7743])).
% 1.17/1.35 tff(7745,plain,
% 1.17/1.35 ((~(cell93 = cell11)) <=> (~(cell93 = cell11))),
% 1.17/1.35 inference(rewrite,[status(thm)],[])).
% 1.17/1.35 tff(7746,axiom,(~(cell93 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45649')).
% 1.17/1.35 tff(7747,plain,
% 1.17/1.35 (~(cell93 = cell11)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[7746, 7745])).
% 1.17/1.35 tff(7748,plain,
% 1.17/1.35 (~(X!1 = cell93)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[7747, 7744])).
% 1.17/1.35 tff(7749,plain,
% 1.17/1.35 ((~(X!1 = cell93)) | (~(Y!0 = cell92))),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[173, 7748])).
% 1.17/1.35 tff(7750,plain,
% 1.17/1.35 ((cell94 = cell11) <=> (cell94 = X!1)),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.35 tff(7751,plain,
% 1.17/1.35 ((cell94 = cell11) <=> (X!1 = cell94)),
% 1.17/1.35 inference(transitivity,[status(thm)],[7750, 175])).
% 1.17/1.35 tff(7752,plain,
% 1.17/1.35 ((~(cell94 = cell11)) <=> (~(X!1 = cell94))),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7751])).
% 1.17/1.35 tff(7753,plain,
% 1.17/1.35 ((~(cell94 = cell11)) <=> (~(cell94 = cell11))),
% 1.17/1.35 inference(rewrite,[status(thm)],[])).
% 1.17/1.35 tff(7754,axiom,(~(cell94 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45556')).
% 1.17/1.35 tff(7755,plain,
% 1.17/1.35 (~(cell94 = cell11)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[7754, 7753])).
% 1.17/1.35 tff(7756,plain,
% 1.17/1.35 (~(X!1 = cell94)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[7755, 7752])).
% 1.17/1.35 tff(7757,plain,
% 1.17/1.35 ((~(X!1 = cell94)) | (~(Y!0 = cell93))),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[183, 7756])).
% 1.17/1.35 tff(7758,plain,
% 1.17/1.35 ((cell95 = cell11) <=> (cell95 = X!1)),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.35 tff(7759,plain,
% 1.17/1.35 ((cell95 = cell11) <=> (X!1 = cell95)),
% 1.17/1.35 inference(transitivity,[status(thm)],[7758, 185])).
% 1.17/1.35 tff(7760,plain,
% 1.17/1.35 ((~(cell95 = cell11)) <=> (~(X!1 = cell95))),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7759])).
% 1.17/1.35 tff(7761,plain,
% 1.17/1.35 ((~(cell95 = cell11)) <=> (~(cell95 = cell11))),
% 1.17/1.35 inference(rewrite,[status(thm)],[])).
% 1.17/1.35 tff(7762,axiom,(~(cell95 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45462')).
% 1.17/1.35 tff(7763,plain,
% 1.17/1.35 (~(cell95 = cell11)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[7762, 7761])).
% 1.17/1.35 tff(7764,plain,
% 1.17/1.35 (~(X!1 = cell95)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[7763, 7760])).
% 1.17/1.35 tff(7765,plain,
% 1.17/1.35 ((~(X!1 = cell95)) | (~(Y!0 = cell94))),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[193, 7764])).
% 1.17/1.35 tff(7766,plain,
% 1.17/1.35 ((cell96 = cell11) <=> (cell96 = X!1)),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.35 tff(7767,plain,
% 1.17/1.35 ((cell96 = cell11) <=> (X!1 = cell96)),
% 1.17/1.35 inference(transitivity,[status(thm)],[7766, 195])).
% 1.17/1.35 tff(7768,plain,
% 1.17/1.35 ((~(cell96 = cell11)) <=> (~(X!1 = cell96))),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7767])).
% 1.17/1.35 tff(7769,plain,
% 1.17/1.35 ((~(cell96 = cell11)) <=> (~(cell96 = cell11))),
% 1.17/1.35 inference(rewrite,[status(thm)],[])).
% 1.17/1.35 tff(7770,axiom,(~(cell96 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45367')).
% 1.17/1.35 tff(7771,plain,
% 1.17/1.35 (~(cell96 = cell11)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[7770, 7769])).
% 1.17/1.35 tff(7772,plain,
% 1.17/1.35 (~(X!1 = cell96)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[7771, 7768])).
% 1.17/1.35 tff(7773,plain,
% 1.17/1.35 ((~(X!1 = cell96)) | (~(Y!0 = cell95))),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[203, 7772])).
% 1.17/1.35 tff(7774,plain,
% 1.17/1.35 ((cell97 = cell11) <=> (cell97 = X!1)),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.35 tff(7775,plain,
% 1.17/1.35 ((cell97 = cell11) <=> (X!1 = cell97)),
% 1.17/1.35 inference(transitivity,[status(thm)],[7774, 205])).
% 1.17/1.35 tff(7776,plain,
% 1.17/1.35 ((~(cell97 = cell11)) <=> (~(X!1 = cell97))),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7775])).
% 1.17/1.35 tff(7777,plain,
% 1.17/1.35 ((~(cell97 = cell11)) <=> (~(cell97 = cell11))),
% 1.17/1.35 inference(rewrite,[status(thm)],[])).
% 1.17/1.35 tff(7778,axiom,(~(cell97 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45271')).
% 1.17/1.35 tff(7779,plain,
% 1.17/1.35 (~(cell97 = cell11)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[7778, 7777])).
% 1.17/1.35 tff(7780,plain,
% 1.17/1.35 (~(X!1 = cell97)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[7779, 7776])).
% 1.17/1.35 tff(7781,plain,
% 1.17/1.35 ((~(X!1 = cell97)) | (~(Y!0 = cell96))),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[213, 7780])).
% 1.17/1.35 tff(7782,plain,
% 1.17/1.35 ((cell98 = cell11) <=> (cell98 = X!1)),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.35 tff(7783,plain,
% 1.17/1.35 ((cell98 = cell11) <=> (X!1 = cell98)),
% 1.17/1.35 inference(transitivity,[status(thm)],[7782, 215])).
% 1.17/1.35 tff(7784,plain,
% 1.17/1.35 ((~(cell98 = cell11)) <=> (~(X!1 = cell98))),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7783])).
% 1.17/1.35 tff(7785,plain,
% 1.17/1.35 ((~(cell98 = cell11)) <=> (~(cell98 = cell11))),
% 1.17/1.35 inference(rewrite,[status(thm)],[])).
% 1.17/1.35 tff(7786,axiom,(~(cell98 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45174')).
% 1.17/1.35 tff(7787,plain,
% 1.17/1.35 (~(cell98 = cell11)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[7786, 7785])).
% 1.17/1.35 tff(7788,plain,
% 1.17/1.35 (~(X!1 = cell98)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[7787, 7784])).
% 1.17/1.35 tff(7789,plain,
% 1.17/1.35 ((~(X!1 = cell98)) | (~(Y!0 = cell97))),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[223, 7788])).
% 1.17/1.35 tff(7790,plain,
% 1.17/1.35 ((cell99 = cell11) <=> (cell99 = X!1)),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.35 tff(7791,plain,
% 1.17/1.35 ((cell99 = cell11) <=> (X!1 = cell99)),
% 1.17/1.35 inference(transitivity,[status(thm)],[7790, 225])).
% 1.17/1.35 tff(7792,plain,
% 1.17/1.35 ((~(cell99 = cell11)) <=> (~(X!1 = cell99))),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7791])).
% 1.17/1.35 tff(7793,plain,
% 1.17/1.35 (~(X!1 = cell99)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[4242, 7792])).
% 1.17/1.35 tff(7794,plain,
% 1.17/1.35 ((~(X!1 = cell99)) | (~(Y!0 = cell98))),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[233, 7793])).
% 1.17/1.35 tff(7795,plain,
% 1.17/1.35 ((~(Y!0 = cell88)) | (~(X!1 = cell98))),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[1499, 7788])).
% 1.17/1.35 tff(7796,plain,
% 1.17/1.35 ((cell11 = cell2) <=> (X!1 = cell2)),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.35 tff(7797,plain,
% 1.17/1.35 ((~(cell11 = cell2)) <=> (~(X!1 = cell2))),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7796])).
% 1.17/1.35 tff(7798,plain,
% 1.17/1.35 ((~(cell11 = cell2)) <=> (~(cell11 = cell2))),
% 1.17/1.35 inference(rewrite,[status(thm)],[])).
% 1.17/1.35 tff(7799,axiom,(~(cell11 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49925')).
% 1.17/1.35 tff(7800,plain,
% 1.17/1.35 (~(cell11 = cell2)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[7799, 7798])).
% 1.17/1.35 tff(7801,plain,
% 1.17/1.35 (~(X!1 = cell2)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[7800, 7797])).
% 1.17/1.35 tff(7802,plain,
% 1.17/1.35 ((~(Y!0 = cell1)) | (~(X!1 = cell2))),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[1515, 7801])).
% 1.17/1.35 tff(7803,plain,
% 1.17/1.35 ((cell3 = cell11) <=> (cell3 = X!1)),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.35 tff(7804,plain,
% 1.17/1.35 ((cell3 = cell11) <=> (X!1 = cell3)),
% 1.17/1.35 inference(transitivity,[status(thm)],[7803, 55])).
% 1.17/1.35 tff(7805,plain,
% 1.17/1.35 ((~(cell3 = cell11)) <=> (~(X!1 = cell3))),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7804])).
% 1.17/1.35 tff(7806,plain,
% 1.17/1.35 ((~(cell3 = cell11)) <=> (~(cell3 = cell11))),
% 1.17/1.35 inference(rewrite,[status(thm)],[])).
% 1.17/1.35 tff(7807,axiom,(~(cell3 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49872')).
% 1.17/1.35 tff(7808,plain,
% 1.17/1.35 (~(cell3 = cell11)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[7807, 7806])).
% 1.17/1.35 tff(7809,plain,
% 1.17/1.35 (~(X!1 = cell3)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[7808, 7805])).
% 1.17/1.35 tff(7810,plain,
% 1.17/1.35 ((~(Y!0 = cell2)) | (~(X!1 = cell3))),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[247, 7809])).
% 1.17/1.35 tff(7811,plain,
% 1.17/1.35 ((cell4 = cell11) <=> (cell4 = X!1)),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.35 tff(7812,plain,
% 1.17/1.35 ((cell4 = cell11) <=> (X!1 = cell4)),
% 1.17/1.35 inference(transitivity,[status(thm)],[7811, 65])).
% 1.17/1.35 tff(7813,plain,
% 1.17/1.35 ((~(cell4 = cell11)) <=> (~(X!1 = cell4))),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7812])).
% 1.17/1.35 tff(7814,plain,
% 1.17/1.35 ((~(cell4 = cell11)) <=> (~(cell4 = cell11))),
% 1.17/1.35 inference(rewrite,[status(thm)],[])).
% 1.17/1.35 tff(7815,axiom,(~(cell4 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49861')).
% 1.17/1.35 tff(7816,plain,
% 1.17/1.35 (~(cell4 = cell11)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[7815, 7814])).
% 1.17/1.35 tff(7817,plain,
% 1.17/1.35 (~(X!1 = cell4)),
% 1.17/1.35 inference(modus_ponens,[status(thm)],[7816, 7813])).
% 1.17/1.35 tff(7818,plain,
% 1.17/1.35 ((~(Y!0 = cell3)) | (~(X!1 = cell4))),
% 1.17/1.35 inference(unit_resolution,[status(thm)],[249, 7817])).
% 1.17/1.35 tff(7819,plain,
% 1.17/1.35 ((cell5 = cell11) <=> (cell5 = X!1)),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.35 tff(7820,plain,
% 1.17/1.35 ((cell5 = cell11) <=> (X!1 = cell5)),
% 1.17/1.35 inference(transitivity,[status(thm)],[7819, 75])).
% 1.17/1.35 tff(7821,plain,
% 1.17/1.35 ((~(cell5 = cell11)) <=> (~(X!1 = cell5))),
% 1.17/1.35 inference(monotonicity,[status(thm)],[7820])).
% 1.17/1.35 tff(7822,plain,
% 1.17/1.35 ((~(cell5 = cell11)) <=> (~(cell5 = cell11))),
% 1.17/1.35 inference(rewrite,[status(thm)],[])).
% 1.17/1.35 tff(7823,axiom,(~(cell5 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49849')).
% 1.17/1.36 tff(7824,plain,
% 1.17/1.36 (~(cell5 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7823, 7822])).
% 1.17/1.36 tff(7825,plain,
% 1.17/1.36 (~(X!1 = cell5)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7824, 7821])).
% 1.17/1.36 tff(7826,plain,
% 1.17/1.36 ((~(Y!0 = cell4)) | (~(X!1 = cell5))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[251, 7825])).
% 1.17/1.36 tff(7827,plain,
% 1.17/1.36 ((cell6 = cell11) <=> (cell6 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7828,plain,
% 1.17/1.36 ((cell6 = cell11) <=> (X!1 = cell6)),
% 1.17/1.36 inference(transitivity,[status(thm)],[7827, 85])).
% 1.17/1.36 tff(7829,plain,
% 1.17/1.36 ((~(cell6 = cell11)) <=> (~(X!1 = cell6))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7828])).
% 1.17/1.36 tff(7830,plain,
% 1.17/1.36 ((~(cell6 = cell11)) <=> (~(cell6 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(7831,axiom,(~(cell6 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49836')).
% 1.17/1.36 tff(7832,plain,
% 1.17/1.36 (~(cell6 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7831, 7830])).
% 1.17/1.36 tff(7833,plain,
% 1.17/1.36 (~(X!1 = cell6)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7832, 7829])).
% 1.17/1.36 tff(7834,plain,
% 1.17/1.36 ((~(Y!0 = cell5)) | (~(X!1 = cell6))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[253, 7833])).
% 1.17/1.36 tff(7835,plain,
% 1.17/1.36 ((cell7 = cell11) <=> (cell7 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7836,plain,
% 1.17/1.36 ((cell7 = cell11) <=> (X!1 = cell7)),
% 1.17/1.36 inference(transitivity,[status(thm)],[7835, 95])).
% 1.17/1.36 tff(7837,plain,
% 1.17/1.36 ((~(cell7 = cell11)) <=> (~(X!1 = cell7))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7836])).
% 1.17/1.36 tff(7838,plain,
% 1.17/1.36 ((~(cell7 = cell11)) <=> (~(cell7 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(7839,axiom,(~(cell7 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49822')).
% 1.17/1.36 tff(7840,plain,
% 1.17/1.36 (~(cell7 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7839, 7838])).
% 1.17/1.36 tff(7841,plain,
% 1.17/1.36 (~(X!1 = cell7)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7840, 7837])).
% 1.17/1.36 tff(7842,plain,
% 1.17/1.36 ((~(Y!0 = cell6)) | (~(X!1 = cell7))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[255, 7841])).
% 1.17/1.36 tff(7843,plain,
% 1.17/1.36 ((cell8 = cell11) <=> (cell8 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7844,plain,
% 1.17/1.36 ((cell8 = cell11) <=> (X!1 = cell8)),
% 1.17/1.36 inference(transitivity,[status(thm)],[7843, 105])).
% 1.17/1.36 tff(7845,plain,
% 1.17/1.36 ((~(cell8 = cell11)) <=> (~(X!1 = cell8))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7844])).
% 1.17/1.36 tff(7846,plain,
% 1.17/1.36 ((~(cell8 = cell11)) <=> (~(cell8 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(7847,axiom,(~(cell8 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49807')).
% 1.17/1.36 tff(7848,plain,
% 1.17/1.36 (~(cell8 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7847, 7846])).
% 1.17/1.36 tff(7849,plain,
% 1.17/1.36 (~(X!1 = cell8)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7848, 7845])).
% 1.17/1.36 tff(7850,plain,
% 1.17/1.36 ((~(Y!0 = cell7)) | (~(X!1 = cell8))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[257, 7849])).
% 1.17/1.36 tff(7851,plain,
% 1.17/1.36 ((cell9 = cell11) <=> (cell9 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7852,plain,
% 1.17/1.36 ((cell9 = cell11) <=> (X!1 = cell9)),
% 1.17/1.36 inference(transitivity,[status(thm)],[7851, 115])).
% 1.17/1.36 tff(7853,plain,
% 1.17/1.36 ((~(cell9 = cell11)) <=> (~(X!1 = cell9))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7852])).
% 1.17/1.36 tff(7854,plain,
% 1.17/1.36 ((~(cell9 = cell11)) <=> (~(cell9 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(7855,axiom,(~(cell9 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49791')).
% 1.17/1.36 tff(7856,plain,
% 1.17/1.36 (~(cell9 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7855, 7854])).
% 1.17/1.36 tff(7857,plain,
% 1.17/1.36 (~(X!1 = cell9)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7856, 7853])).
% 1.17/1.36 tff(7858,plain,
% 1.17/1.36 ((~(Y!0 = cell8)) | (~(X!1 = cell9))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[259, 7857])).
% 1.17/1.36 tff(7859,plain,
% 1.17/1.36 ((cell10 = cell11) <=> (cell10 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7860,plain,
% 1.17/1.36 ((cell10 = cell11) <=> (X!1 = cell10)),
% 1.17/1.36 inference(transitivity,[status(thm)],[7859, 261])).
% 1.17/1.36 tff(7861,plain,
% 1.17/1.36 ((~(cell10 = cell11)) <=> (~(X!1 = cell10))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7860])).
% 1.17/1.36 tff(7862,plain,
% 1.17/1.36 ((~(cell10 = cell11)) <=> (~(cell10 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(7863,axiom,(~(cell10 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49774')).
% 1.17/1.36 tff(7864,plain,
% 1.17/1.36 (~(cell10 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7863, 7862])).
% 1.17/1.36 tff(7865,plain,
% 1.17/1.36 (~(X!1 = cell10)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7864, 7861])).
% 1.17/1.36 tff(7866,plain,
% 1.17/1.36 ((~(Y!0 = cell9)) | (~(X!1 = cell10))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[269, 7865])).
% 1.17/1.36 tff(7867,plain,
% 1.17/1.36 ((cell12 = cell11) <=> (cell12 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7868,plain,
% 1.17/1.36 ((cell12 = cell11) <=> (X!1 = cell12)),
% 1.17/1.36 inference(transitivity,[status(thm)],[7867, 135])).
% 1.17/1.36 tff(7869,plain,
% 1.17/1.36 ((~(cell12 = cell11)) <=> (~(X!1 = cell12))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7868])).
% 1.17/1.36 tff(7870,plain,
% 1.17/1.36 ((~(cell12 = cell11)) <=> (~(cell12 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(7871,axiom,(~(cell12 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49921')).
% 1.17/1.36 tff(7872,plain,
% 1.17/1.36 (~(cell12 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7871, 7870])).
% 1.17/1.36 tff(7873,plain,
% 1.17/1.36 (~(X!1 = cell12)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7872, 7869])).
% 1.17/1.36 tff(7874,plain,
% 1.17/1.36 ((~(Y!0 = cell11)) | (~(X!1 = cell12))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[271, 7873])).
% 1.17/1.36 tff(7875,plain,
% 1.17/1.36 ((cell11 = cell13) <=> (X!1 = cell13)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7876,plain,
% 1.17/1.36 ((~(cell11 = cell13)) <=> (~(X!1 = cell13))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7875])).
% 1.17/1.36 tff(7877,plain,
% 1.17/1.36 (~(X!1 = cell13)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[151, 7876])).
% 1.17/1.36 tff(7878,plain,
% 1.17/1.36 (((~(Y!0 = cell12)) | (~(X!1 = cell13))) | (X!1 = cell13)),
% 1.17/1.36 inference(tautology,[status(thm)],[])).
% 1.17/1.36 tff(7879,plain,
% 1.17/1.36 ((~(Y!0 = cell12)) | (~(X!1 = cell13))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[7878, 7877])).
% 1.17/1.36 tff(7880,plain,
% 1.17/1.36 ((cell14 = cell11) <=> (cell14 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7881,plain,
% 1.17/1.36 ((cell14 = cell11) <=> (X!1 = cell14)),
% 1.17/1.36 inference(transitivity,[status(thm)],[7880, 273])).
% 1.17/1.36 tff(7882,plain,
% 1.17/1.36 ((~(cell14 = cell11)) <=> (~(X!1 = cell14))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7881])).
% 1.17/1.36 tff(7883,plain,
% 1.17/1.36 ((~(cell14 = cell11)) <=> (~(cell14 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(7884,axiom,(~(cell14 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49756')).
% 1.17/1.36 tff(7885,plain,
% 1.17/1.36 (~(cell14 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7884, 7883])).
% 1.17/1.36 tff(7886,plain,
% 1.17/1.36 (~(X!1 = cell14)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7885, 7882])).
% 1.17/1.36 tff(7887,plain,
% 1.17/1.36 ((~(Y!0 = cell13)) | (~(X!1 = cell14))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1207, 7886])).
% 1.17/1.36 tff(7888,plain,
% 1.17/1.36 ((cell15 = cell11) <=> (cell15 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7889,plain,
% 1.17/1.36 ((cell15 = cell11) <=> (X!1 = cell15)),
% 1.17/1.36 inference(transitivity,[status(thm)],[7888, 283])).
% 1.17/1.36 tff(7890,plain,
% 1.17/1.36 ((~(cell15 = cell11)) <=> (~(X!1 = cell15))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7889])).
% 1.17/1.36 tff(7891,plain,
% 1.17/1.36 ((~(cell15 = cell11)) <=> (~(cell15 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(7892,axiom,(~(cell15 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49737')).
% 1.17/1.36 tff(7893,plain,
% 1.17/1.36 (~(cell15 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7892, 7891])).
% 1.17/1.36 tff(7894,plain,
% 1.17/1.36 (~(X!1 = cell15)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7893, 7890])).
% 1.17/1.36 tff(7895,plain,
% 1.17/1.36 ((~(Y!0 = cell14)) | (~(X!1 = cell15))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1209, 7894])).
% 1.17/1.36 tff(7896,plain,
% 1.17/1.36 ((cell16 = cell11) <=> (cell16 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7897,plain,
% 1.17/1.36 ((cell16 = cell11) <=> (X!1 = cell16)),
% 1.17/1.36 inference(transitivity,[status(thm)],[7896, 293])).
% 1.17/1.36 tff(7898,plain,
% 1.17/1.36 ((~(cell16 = cell11)) <=> (~(X!1 = cell16))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7897])).
% 1.17/1.36 tff(7899,plain,
% 1.17/1.36 ((~(cell16 = cell11)) <=> (~(cell16 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(7900,axiom,(~(cell16 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49717')).
% 1.17/1.36 tff(7901,plain,
% 1.17/1.36 (~(cell16 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7900, 7899])).
% 1.17/1.36 tff(7902,plain,
% 1.17/1.36 (~(X!1 = cell16)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7901, 7898])).
% 1.17/1.36 tff(7903,plain,
% 1.17/1.36 ((~(Y!0 = cell15)) | (~(X!1 = cell16))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1211, 7902])).
% 1.17/1.36 tff(7904,plain,
% 1.17/1.36 ((cell17 = cell11) <=> (cell17 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7905,plain,
% 1.17/1.36 ((cell17 = cell11) <=> (X!1 = cell17)),
% 1.17/1.36 inference(transitivity,[status(thm)],[7904, 303])).
% 1.17/1.36 tff(7906,plain,
% 1.17/1.36 ((~(cell17 = cell11)) <=> (~(X!1 = cell17))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7905])).
% 1.17/1.36 tff(7907,plain,
% 1.17/1.36 ((~(cell17 = cell11)) <=> (~(cell17 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(7908,axiom,(~(cell17 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49696')).
% 1.17/1.36 tff(7909,plain,
% 1.17/1.36 (~(cell17 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7908, 7907])).
% 1.17/1.36 tff(7910,plain,
% 1.17/1.36 (~(X!1 = cell17)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7909, 7906])).
% 1.17/1.36 tff(7911,plain,
% 1.17/1.36 ((~(Y!0 = cell16)) | (~(X!1 = cell17))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1213, 7910])).
% 1.17/1.36 tff(7912,plain,
% 1.17/1.36 ((cell18 = cell11) <=> (cell18 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7913,plain,
% 1.17/1.36 ((cell18 = cell11) <=> (X!1 = cell18)),
% 1.17/1.36 inference(transitivity,[status(thm)],[7912, 313])).
% 1.17/1.36 tff(7914,plain,
% 1.17/1.36 ((~(cell18 = cell11)) <=> (~(X!1 = cell18))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7913])).
% 1.17/1.36 tff(7915,plain,
% 1.17/1.36 ((~(cell18 = cell11)) <=> (~(cell18 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(7916,axiom,(~(cell18 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49674')).
% 1.17/1.36 tff(7917,plain,
% 1.17/1.36 (~(cell18 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7916, 7915])).
% 1.17/1.36 tff(7918,plain,
% 1.17/1.36 (~(X!1 = cell18)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7917, 7914])).
% 1.17/1.36 tff(7919,plain,
% 1.17/1.36 ((~(Y!0 = cell17)) | (~(X!1 = cell18))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1215, 7918])).
% 1.17/1.36 tff(7920,plain,
% 1.17/1.36 ((cell19 = cell11) <=> (cell19 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7921,plain,
% 1.17/1.36 ((cell19 = cell11) <=> (X!1 = cell19)),
% 1.17/1.36 inference(transitivity,[status(thm)],[7920, 323])).
% 1.17/1.36 tff(7922,plain,
% 1.17/1.36 ((~(cell19 = cell11)) <=> (~(X!1 = cell19))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7921])).
% 1.17/1.36 tff(7923,plain,
% 1.17/1.36 ((~(cell19 = cell11)) <=> (~(cell19 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(7924,axiom,(~(cell19 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49651')).
% 1.17/1.36 tff(7925,plain,
% 1.17/1.36 (~(cell19 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7924, 7923])).
% 1.17/1.36 tff(7926,plain,
% 1.17/1.36 (~(X!1 = cell19)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7925, 7922])).
% 1.17/1.36 tff(7927,plain,
% 1.17/1.36 ((~(Y!0 = cell18)) | (~(X!1 = cell19))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1217, 7926])).
% 1.17/1.36 tff(7928,plain,
% 1.17/1.36 ((cell20 = cell11) <=> (cell20 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7929,plain,
% 1.17/1.36 ((cell20 = cell11) <=> (X!1 = cell20)),
% 1.17/1.36 inference(transitivity,[status(thm)],[7928, 1007])).
% 1.17/1.36 tff(7930,plain,
% 1.17/1.36 ((~(cell20 = cell11)) <=> (~(X!1 = cell20))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7929])).
% 1.17/1.36 tff(7931,plain,
% 1.17/1.36 ((~(cell20 = cell11)) <=> (~(cell20 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(7932,axiom,(~(cell20 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49627')).
% 1.17/1.36 tff(7933,plain,
% 1.17/1.36 (~(cell20 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7932, 7931])).
% 1.17/1.36 tff(7934,plain,
% 1.17/1.36 (~(X!1 = cell20)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7933, 7930])).
% 1.17/1.36 tff(7935,plain,
% 1.17/1.36 ((~(Y!0 = cell19)) | (~(X!1 = cell20))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1219, 7934])).
% 1.17/1.36 tff(7936,plain,
% 1.17/1.36 ((cell23 = cell11) <=> (cell23 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7937,plain,
% 1.17/1.36 ((cell23 = cell11) <=> (X!1 = cell23)),
% 1.17/1.36 inference(transitivity,[status(thm)],[7936, 341])).
% 1.17/1.36 tff(7938,plain,
% 1.17/1.36 ((~(cell23 = cell11)) <=> (~(X!1 = cell23))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7937])).
% 1.17/1.36 tff(7939,plain,
% 1.17/1.36 ((~(cell23 = cell11)) <=> (~(cell23 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(7940,axiom,(~(cell23 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49576')).
% 1.17/1.36 tff(7941,plain,
% 1.17/1.36 (~(cell23 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7940, 7939])).
% 1.17/1.36 tff(7942,plain,
% 1.17/1.36 (~(X!1 = cell23)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7941, 7938])).
% 1.17/1.36 tff(7943,plain,
% 1.17/1.36 (((~(Y!0 = cell22)) | (~(X!1 = cell23))) | (X!1 = cell23)),
% 1.17/1.36 inference(tautology,[status(thm)],[])).
% 1.17/1.36 tff(7944,plain,
% 1.17/1.36 ((~(Y!0 = cell22)) | (~(X!1 = cell23))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[7943, 7942])).
% 1.17/1.36 tff(7945,plain,
% 1.17/1.36 ((cell24 = cell11) <=> (cell24 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7946,plain,
% 1.17/1.36 ((cell24 = cell11) <=> (X!1 = cell24)),
% 1.17/1.36 inference(transitivity,[status(thm)],[7945, 351])).
% 1.17/1.36 tff(7947,plain,
% 1.17/1.36 ((~(cell24 = cell11)) <=> (~(X!1 = cell24))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7946])).
% 1.17/1.36 tff(7948,plain,
% 1.17/1.36 ((~(cell24 = cell11)) <=> (~(cell24 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(7949,axiom,(~(cell24 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49549')).
% 1.17/1.36 tff(7950,plain,
% 1.17/1.36 (~(cell24 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7949, 7948])).
% 1.17/1.36 tff(7951,plain,
% 1.17/1.36 (~(X!1 = cell24)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7950, 7947])).
% 1.17/1.36 tff(7952,plain,
% 1.17/1.36 ((~(Y!0 = cell23)) | (~(X!1 = cell24))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1223, 7951])).
% 1.17/1.36 tff(7953,plain,
% 1.17/1.36 ((cell25 = cell11) <=> (cell25 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7954,plain,
% 1.17/1.36 ((cell25 = cell11) <=> (X!1 = cell25)),
% 1.17/1.36 inference(transitivity,[status(thm)],[7953, 361])).
% 1.17/1.36 tff(7955,plain,
% 1.17/1.36 ((~(cell25 = cell11)) <=> (~(X!1 = cell25))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7954])).
% 1.17/1.36 tff(7956,plain,
% 1.17/1.36 ((~(cell25 = cell11)) <=> (~(cell25 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(7957,axiom,(~(cell25 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49521')).
% 1.17/1.36 tff(7958,plain,
% 1.17/1.36 (~(cell25 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7957, 7956])).
% 1.17/1.36 tff(7959,plain,
% 1.17/1.36 (~(X!1 = cell25)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7958, 7955])).
% 1.17/1.36 tff(7960,plain,
% 1.17/1.36 ((~(Y!0 = cell24)) | (~(X!1 = cell25))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1225, 7959])).
% 1.17/1.36 tff(7961,plain,
% 1.17/1.36 ((cell26 = cell11) <=> (cell26 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7962,plain,
% 1.17/1.36 ((cell26 = cell11) <=> (X!1 = cell26)),
% 1.17/1.36 inference(transitivity,[status(thm)],[7961, 371])).
% 1.17/1.36 tff(7963,plain,
% 1.17/1.36 ((~(cell26 = cell11)) <=> (~(X!1 = cell26))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7962])).
% 1.17/1.36 tff(7964,plain,
% 1.17/1.36 ((~(cell26 = cell11)) <=> (~(cell26 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(7965,axiom,(~(cell26 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49492')).
% 1.17/1.36 tff(7966,plain,
% 1.17/1.36 (~(cell26 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7965, 7964])).
% 1.17/1.36 tff(7967,plain,
% 1.17/1.36 (~(X!1 = cell26)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7966, 7963])).
% 1.17/1.36 tff(7968,plain,
% 1.17/1.36 ((~(Y!0 = cell25)) | (~(X!1 = cell26))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1227, 7967])).
% 1.17/1.36 tff(7969,plain,
% 1.17/1.36 ((cell27 = cell11) <=> (cell27 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7970,plain,
% 1.17/1.36 ((cell27 = cell11) <=> (X!1 = cell27)),
% 1.17/1.36 inference(transitivity,[status(thm)],[7969, 381])).
% 1.17/1.36 tff(7971,plain,
% 1.17/1.36 ((~(cell27 = cell11)) <=> (~(X!1 = cell27))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7970])).
% 1.17/1.36 tff(7972,plain,
% 1.17/1.36 ((~(cell27 = cell11)) <=> (~(cell27 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(7973,axiom,(~(cell27 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49462')).
% 1.17/1.36 tff(7974,plain,
% 1.17/1.36 (~(cell27 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7973, 7972])).
% 1.17/1.36 tff(7975,plain,
% 1.17/1.36 (~(X!1 = cell27)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7974, 7971])).
% 1.17/1.36 tff(7976,plain,
% 1.17/1.36 ((~(Y!0 = cell26)) | (~(X!1 = cell27))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1229, 7975])).
% 1.17/1.36 tff(7977,plain,
% 1.17/1.36 ((cell28 = cell11) <=> (cell28 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7978,plain,
% 1.17/1.36 ((cell28 = cell11) <=> (X!1 = cell28)),
% 1.17/1.36 inference(transitivity,[status(thm)],[7977, 391])).
% 1.17/1.36 tff(7979,plain,
% 1.17/1.36 ((~(cell28 = cell11)) <=> (~(X!1 = cell28))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7978])).
% 1.17/1.36 tff(7980,plain,
% 1.17/1.36 ((~(cell28 = cell11)) <=> (~(cell28 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(7981,axiom,(~(cell28 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49431')).
% 1.17/1.36 tff(7982,plain,
% 1.17/1.36 (~(cell28 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7981, 7980])).
% 1.17/1.36 tff(7983,plain,
% 1.17/1.36 (~(X!1 = cell28)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7982, 7979])).
% 1.17/1.36 tff(7984,plain,
% 1.17/1.36 ((~(Y!0 = cell27)) | (~(X!1 = cell28))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1231, 7983])).
% 1.17/1.36 tff(7985,plain,
% 1.17/1.36 ((cell29 = cell11) <=> (cell29 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7986,plain,
% 1.17/1.36 ((cell29 = cell11) <=> (X!1 = cell29)),
% 1.17/1.36 inference(transitivity,[status(thm)],[7985, 401])).
% 1.17/1.36 tff(7987,plain,
% 1.17/1.36 ((~(cell29 = cell11)) <=> (~(X!1 = cell29))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7986])).
% 1.17/1.36 tff(7988,plain,
% 1.17/1.36 ((~(cell29 = cell11)) <=> (~(cell29 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(7989,axiom,(~(cell29 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49399')).
% 1.17/1.36 tff(7990,plain,
% 1.17/1.36 (~(cell29 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7989, 7988])).
% 1.17/1.36 tff(7991,plain,
% 1.17/1.36 (~(X!1 = cell29)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7990, 7987])).
% 1.17/1.36 tff(7992,plain,
% 1.17/1.36 ((~(Y!0 = cell28)) | (~(X!1 = cell29))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1233, 7991])).
% 1.17/1.36 tff(7993,plain,
% 1.17/1.36 ((cell30 = cell11) <=> (cell30 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(7994,plain,
% 1.17/1.36 ((cell30 = cell11) <=> (X!1 = cell30)),
% 1.17/1.36 inference(transitivity,[status(thm)],[7993, 1043])).
% 1.17/1.36 tff(7995,plain,
% 1.17/1.36 ((~(cell30 = cell11)) <=> (~(X!1 = cell30))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7994])).
% 1.17/1.36 tff(7996,plain,
% 1.17/1.36 ((~(cell30 = cell11)) <=> (~(cell30 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(7997,axiom,(~(cell30 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49366')).
% 1.17/1.36 tff(7998,plain,
% 1.17/1.36 (~(cell30 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7997, 7996])).
% 1.17/1.36 tff(7999,plain,
% 1.17/1.36 (~(X!1 = cell30)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[7998, 7995])).
% 1.17/1.36 tff(8000,plain,
% 1.17/1.36 ((~(Y!0 = cell29)) | (~(X!1 = cell30))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1235, 7999])).
% 1.17/1.36 tff(8001,plain,
% 1.17/1.36 ((cell32 = cell11) <=> (cell32 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(8002,plain,
% 1.17/1.36 ((cell32 = cell11) <=> (X!1 = cell32)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8001, 421])).
% 1.17/1.36 tff(8003,plain,
% 1.17/1.36 ((~(cell32 = cell11)) <=> (~(X!1 = cell32))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8002])).
% 1.17/1.36 tff(8004,plain,
% 1.17/1.36 ((~(cell32 = cell11)) <=> (~(cell32 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8005,axiom,(~(cell32 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49332')).
% 1.17/1.36 tff(8006,plain,
% 1.17/1.36 (~(cell32 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8005, 8004])).
% 1.17/1.36 tff(8007,plain,
% 1.17/1.36 (~(X!1 = cell32)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8006, 8003])).
% 1.17/1.36 tff(8008,plain,
% 1.17/1.36 ((~(Y!0 = cell31)) | (~(X!1 = cell32))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1237, 8007])).
% 1.17/1.36 tff(8009,plain,
% 1.17/1.36 ((cell33 = cell11) <=> (cell33 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(8010,plain,
% 1.17/1.36 ((cell33 = cell11) <=> (X!1 = cell33)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8009, 431])).
% 1.17/1.36 tff(8011,plain,
% 1.17/1.36 ((~(cell33 = cell11)) <=> (~(X!1 = cell33))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8010])).
% 1.17/1.36 tff(8012,plain,
% 1.17/1.36 ((~(cell33 = cell11)) <=> (~(cell33 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8013,axiom,(~(cell33 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49261')).
% 1.17/1.36 tff(8014,plain,
% 1.17/1.36 (~(cell33 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8013, 8012])).
% 1.17/1.36 tff(8015,plain,
% 1.17/1.36 (~(X!1 = cell33)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8014, 8011])).
% 1.17/1.36 tff(8016,plain,
% 1.17/1.36 ((~(Y!0 = cell32)) | (~(X!1 = cell33))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1239, 8015])).
% 1.17/1.36 tff(8017,plain,
% 1.17/1.36 ((cell34 = cell11) <=> (cell34 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(8018,plain,
% 1.17/1.36 ((cell34 = cell11) <=> (X!1 = cell34)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8017, 441])).
% 1.17/1.36 tff(8019,plain,
% 1.17/1.36 ((~(cell34 = cell11)) <=> (~(X!1 = cell34))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8018])).
% 1.17/1.36 tff(8020,plain,
% 1.17/1.36 ((~(cell34 = cell11)) <=> (~(cell34 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8021,axiom,(~(cell34 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49224')).
% 1.17/1.36 tff(8022,plain,
% 1.17/1.36 (~(cell34 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8021, 8020])).
% 1.17/1.36 tff(8023,plain,
% 1.17/1.36 (~(X!1 = cell34)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8022, 8019])).
% 1.17/1.36 tff(8024,plain,
% 1.17/1.36 ((~(Y!0 = cell33)) | (~(X!1 = cell34))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1241, 8023])).
% 1.17/1.36 tff(8025,plain,
% 1.17/1.36 ((cell35 = cell11) <=> (cell35 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(8026,plain,
% 1.17/1.36 ((cell35 = cell11) <=> (X!1 = cell35)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8025, 451])).
% 1.17/1.36 tff(8027,plain,
% 1.17/1.36 ((~(cell35 = cell11)) <=> (~(X!1 = cell35))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8026])).
% 1.17/1.36 tff(8028,plain,
% 1.17/1.36 ((~(cell35 = cell11)) <=> (~(cell35 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8029,axiom,(~(cell35 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49186')).
% 1.17/1.36 tff(8030,plain,
% 1.17/1.36 (~(cell35 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8029, 8028])).
% 1.17/1.36 tff(8031,plain,
% 1.17/1.36 (~(X!1 = cell35)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8030, 8027])).
% 1.17/1.36 tff(8032,plain,
% 1.17/1.36 ((~(Y!0 = cell34)) | (~(X!1 = cell35))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1243, 8031])).
% 1.17/1.36 tff(8033,plain,
% 1.17/1.36 ((cell36 = cell11) <=> (cell36 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(8034,plain,
% 1.17/1.36 ((cell36 = cell11) <=> (X!1 = cell36)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8033, 461])).
% 1.17/1.36 tff(8035,plain,
% 1.17/1.36 ((~(cell36 = cell11)) <=> (~(X!1 = cell36))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8034])).
% 1.17/1.36 tff(8036,plain,
% 1.17/1.36 ((~(cell36 = cell11)) <=> (~(cell36 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8037,axiom,(~(cell36 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49147')).
% 1.17/1.36 tff(8038,plain,
% 1.17/1.36 (~(cell36 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8037, 8036])).
% 1.17/1.36 tff(8039,plain,
% 1.17/1.36 (~(X!1 = cell36)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8038, 8035])).
% 1.17/1.36 tff(8040,plain,
% 1.17/1.36 ((~(Y!0 = cell35)) | (~(X!1 = cell36))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1245, 8039])).
% 1.17/1.36 tff(8041,plain,
% 1.17/1.36 ((cell37 = cell11) <=> (cell37 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(8042,plain,
% 1.17/1.36 ((cell37 = cell11) <=> (X!1 = cell37)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8041, 471])).
% 1.17/1.36 tff(8043,plain,
% 1.17/1.36 ((~(cell37 = cell11)) <=> (~(X!1 = cell37))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8042])).
% 1.17/1.36 tff(8044,plain,
% 1.17/1.36 ((~(cell37 = cell11)) <=> (~(cell37 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8045,axiom,(~(cell37 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49107')).
% 1.17/1.36 tff(8046,plain,
% 1.17/1.36 (~(cell37 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8045, 8044])).
% 1.17/1.36 tff(8047,plain,
% 1.17/1.36 (~(X!1 = cell37)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8046, 8043])).
% 1.17/1.36 tff(8048,plain,
% 1.17/1.36 ((~(Y!0 = cell36)) | (~(X!1 = cell37))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1247, 8047])).
% 1.17/1.36 tff(8049,plain,
% 1.17/1.36 ((cell38 = cell11) <=> (cell38 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(8050,plain,
% 1.17/1.36 ((cell38 = cell11) <=> (X!1 = cell38)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8049, 481])).
% 1.17/1.36 tff(8051,plain,
% 1.17/1.36 ((~(cell38 = cell11)) <=> (~(X!1 = cell38))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8050])).
% 1.17/1.36 tff(8052,plain,
% 1.17/1.36 ((~(cell38 = cell11)) <=> (~(cell38 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8053,axiom,(~(cell38 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49066')).
% 1.17/1.36 tff(8054,plain,
% 1.17/1.36 (~(cell38 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8053, 8052])).
% 1.17/1.36 tff(8055,plain,
% 1.17/1.36 (~(X!1 = cell38)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8054, 8051])).
% 1.17/1.36 tff(8056,plain,
% 1.17/1.36 ((~(Y!0 = cell37)) | (~(X!1 = cell38))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1249, 8055])).
% 1.17/1.36 tff(8057,plain,
% 1.17/1.36 ((cell39 = cell11) <=> (cell39 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(8058,plain,
% 1.17/1.36 ((cell39 = cell11) <=> (X!1 = cell39)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8057, 491])).
% 1.17/1.36 tff(8059,plain,
% 1.17/1.36 ((~(cell39 = cell11)) <=> (~(X!1 = cell39))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8058])).
% 1.17/1.36 tff(8060,plain,
% 1.17/1.36 ((~(cell39 = cell11)) <=> (~(cell39 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8061,axiom,(~(cell39 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49024')).
% 1.17/1.36 tff(8062,plain,
% 1.17/1.36 (~(cell39 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8061, 8060])).
% 1.17/1.36 tff(8063,plain,
% 1.17/1.36 (~(X!1 = cell39)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8062, 8059])).
% 1.17/1.36 tff(8064,plain,
% 1.17/1.36 ((~(Y!0 = cell38)) | (~(X!1 = cell39))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1251, 8063])).
% 1.17/1.36 tff(8065,plain,
% 1.17/1.36 ((cell40 = cell11) <=> (cell40 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(8066,plain,
% 1.17/1.36 ((cell40 = cell11) <=> (X!1 = cell40)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8065, 1071])).
% 1.17/1.36 tff(8067,plain,
% 1.17/1.36 ((~(cell40 = cell11)) <=> (~(X!1 = cell40))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8066])).
% 1.17/1.36 tff(8068,plain,
% 1.17/1.36 ((~(cell40 = cell11)) <=> (~(cell40 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8069,axiom,(~(cell40 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48981')).
% 1.17/1.36 tff(8070,plain,
% 1.17/1.36 (~(cell40 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8069, 8068])).
% 1.17/1.36 tff(8071,plain,
% 1.17/1.36 (~(X!1 = cell40)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8070, 8067])).
% 1.17/1.36 tff(8072,plain,
% 1.17/1.36 ((~(Y!0 = cell39)) | (~(X!1 = cell40))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1253, 8071])).
% 1.17/1.36 tff(8073,plain,
% 1.17/1.36 ((cell42 = cell11) <=> (cell42 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(8074,plain,
% 1.17/1.36 ((cell42 = cell11) <=> (X!1 = cell42)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8073, 511])).
% 1.17/1.36 tff(8075,plain,
% 1.17/1.36 ((~(cell42 = cell11)) <=> (~(X!1 = cell42))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8074])).
% 1.17/1.36 tff(8076,plain,
% 1.17/1.36 ((~(cell42 = cell11)) <=> (~(cell42 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8077,axiom,(~(cell42 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48937')).
% 1.17/1.36 tff(8078,plain,
% 1.17/1.36 (~(cell42 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8077, 8076])).
% 1.17/1.36 tff(8079,plain,
% 1.17/1.36 (~(X!1 = cell42)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8078, 8075])).
% 1.17/1.36 tff(8080,plain,
% 1.17/1.36 ((~(Y!0 = cell41)) | (~(X!1 = cell42))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1255, 8079])).
% 1.17/1.36 tff(8081,plain,
% 1.17/1.36 ((cell43 = cell11) <=> (cell43 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(8082,plain,
% 1.17/1.36 ((cell43 = cell11) <=> (X!1 = cell43)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8081, 521])).
% 1.17/1.36 tff(8083,plain,
% 1.17/1.36 ((~(cell43 = cell11)) <=> (~(X!1 = cell43))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8082])).
% 1.17/1.36 tff(8084,plain,
% 1.17/1.36 ((~(cell43 = cell11)) <=> (~(cell43 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8085,axiom,(~(cell43 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48846')).
% 1.17/1.36 tff(8086,plain,
% 1.17/1.36 (~(cell43 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8085, 8084])).
% 1.17/1.36 tff(8087,plain,
% 1.17/1.36 (~(X!1 = cell43)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8086, 8083])).
% 1.17/1.36 tff(8088,plain,
% 1.17/1.36 ((~(Y!0 = cell42)) | (~(X!1 = cell43))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1257, 8087])).
% 1.17/1.36 tff(8089,plain,
% 1.17/1.36 ((cell44 = cell11) <=> (cell44 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(8090,plain,
% 1.17/1.36 ((cell44 = cell11) <=> (X!1 = cell44)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8089, 531])).
% 1.17/1.36 tff(8091,plain,
% 1.17/1.36 ((~(cell44 = cell11)) <=> (~(X!1 = cell44))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8090])).
% 1.17/1.36 tff(8092,plain,
% 1.17/1.36 ((~(cell44 = cell11)) <=> (~(cell44 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8093,axiom,(~(cell44 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48799')).
% 1.17/1.36 tff(8094,plain,
% 1.17/1.36 (~(cell44 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8093, 8092])).
% 1.17/1.36 tff(8095,plain,
% 1.17/1.36 (~(X!1 = cell44)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8094, 8091])).
% 1.17/1.36 tff(8096,plain,
% 1.17/1.36 ((~(Y!0 = cell43)) | (~(X!1 = cell44))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1259, 8095])).
% 1.17/1.36 tff(8097,plain,
% 1.17/1.36 ((cell45 = cell11) <=> (cell45 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(8098,plain,
% 1.17/1.36 ((cell45 = cell11) <=> (X!1 = cell45)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8097, 541])).
% 1.17/1.36 tff(8099,plain,
% 1.17/1.36 ((~(cell45 = cell11)) <=> (~(X!1 = cell45))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8098])).
% 1.17/1.36 tff(8100,plain,
% 1.17/1.36 ((~(cell45 = cell11)) <=> (~(cell45 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8101,axiom,(~(cell45 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48751')).
% 1.17/1.36 tff(8102,plain,
% 1.17/1.36 (~(cell45 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8101, 8100])).
% 1.17/1.36 tff(8103,plain,
% 1.17/1.36 (~(X!1 = cell45)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8102, 8099])).
% 1.17/1.36 tff(8104,plain,
% 1.17/1.36 ((~(Y!0 = cell44)) | (~(X!1 = cell45))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1261, 8103])).
% 1.17/1.36 tff(8105,plain,
% 1.17/1.36 ((cell46 = cell11) <=> (cell46 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(8106,plain,
% 1.17/1.36 ((cell46 = cell11) <=> (X!1 = cell46)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8105, 551])).
% 1.17/1.36 tff(8107,plain,
% 1.17/1.36 ((~(cell46 = cell11)) <=> (~(X!1 = cell46))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8106])).
% 1.17/1.36 tff(8108,plain,
% 1.17/1.36 ((~(cell46 = cell11)) <=> (~(cell46 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8109,axiom,(~(cell46 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48702')).
% 1.17/1.36 tff(8110,plain,
% 1.17/1.36 (~(cell46 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8109, 8108])).
% 1.17/1.36 tff(8111,plain,
% 1.17/1.36 (~(X!1 = cell46)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8110, 8107])).
% 1.17/1.36 tff(8112,plain,
% 1.17/1.36 ((~(Y!0 = cell45)) | (~(X!1 = cell46))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1263, 8111])).
% 1.17/1.36 tff(8113,plain,
% 1.17/1.36 ((cell47 = cell11) <=> (cell47 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(8114,plain,
% 1.17/1.36 ((cell47 = cell11) <=> (X!1 = cell47)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8113, 561])).
% 1.17/1.36 tff(8115,plain,
% 1.17/1.36 ((~(cell47 = cell11)) <=> (~(X!1 = cell47))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8114])).
% 1.17/1.36 tff(8116,plain,
% 1.17/1.36 ((~(cell47 = cell11)) <=> (~(cell47 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8117,axiom,(~(cell47 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48652')).
% 1.17/1.36 tff(8118,plain,
% 1.17/1.36 (~(cell47 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8117, 8116])).
% 1.17/1.36 tff(8119,plain,
% 1.17/1.36 (~(X!1 = cell47)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8118, 8115])).
% 1.17/1.36 tff(8120,plain,
% 1.17/1.36 ((~(Y!0 = cell46)) | (~(X!1 = cell47))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1265, 8119])).
% 1.17/1.36 tff(8121,plain,
% 1.17/1.36 ((cell48 = cell11) <=> (cell48 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(8122,plain,
% 1.17/1.36 ((cell48 = cell11) <=> (X!1 = cell48)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8121, 571])).
% 1.17/1.36 tff(8123,plain,
% 1.17/1.36 ((~(cell48 = cell11)) <=> (~(X!1 = cell48))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8122])).
% 1.17/1.36 tff(8124,plain,
% 1.17/1.36 ((~(cell48 = cell11)) <=> (~(cell48 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8125,axiom,(~(cell48 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48601')).
% 1.17/1.36 tff(8126,plain,
% 1.17/1.36 (~(cell48 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8125, 8124])).
% 1.17/1.36 tff(8127,plain,
% 1.17/1.36 (~(X!1 = cell48)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8126, 8123])).
% 1.17/1.36 tff(8128,plain,
% 1.17/1.36 ((~(Y!0 = cell47)) | (~(X!1 = cell48))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1267, 8127])).
% 1.17/1.36 tff(8129,plain,
% 1.17/1.36 ((cell49 = cell11) <=> (cell49 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(8130,plain,
% 1.17/1.36 ((cell49 = cell11) <=> (X!1 = cell49)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8129, 581])).
% 1.17/1.36 tff(8131,plain,
% 1.17/1.36 ((~(cell49 = cell11)) <=> (~(X!1 = cell49))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8130])).
% 1.17/1.36 tff(8132,plain,
% 1.17/1.36 ((~(cell49 = cell11)) <=> (~(cell49 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8133,axiom,(~(cell49 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48549')).
% 1.17/1.36 tff(8134,plain,
% 1.17/1.36 (~(cell49 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8133, 8132])).
% 1.17/1.36 tff(8135,plain,
% 1.17/1.36 (~(X!1 = cell49)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8134, 8131])).
% 1.17/1.36 tff(8136,plain,
% 1.17/1.36 ((~(Y!0 = cell48)) | (~(X!1 = cell49))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1269, 8135])).
% 1.17/1.36 tff(8137,plain,
% 1.17/1.36 ((cell50 = cell11) <=> (cell50 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(8138,plain,
% 1.17/1.36 ((cell50 = cell11) <=> (X!1 = cell50)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8137, 1099])).
% 1.17/1.36 tff(8139,plain,
% 1.17/1.36 ((~(cell50 = cell11)) <=> (~(X!1 = cell50))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8138])).
% 1.17/1.36 tff(8140,plain,
% 1.17/1.36 ((~(cell50 = cell11)) <=> (~(cell50 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8141,axiom,(~(cell50 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48496')).
% 1.17/1.36 tff(8142,plain,
% 1.17/1.36 (~(cell50 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8141, 8140])).
% 1.17/1.36 tff(8143,plain,
% 1.17/1.36 (~(X!1 = cell50)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8142, 8139])).
% 1.17/1.36 tff(8144,plain,
% 1.17/1.36 ((~(Y!0 = cell49)) | (~(X!1 = cell50))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1271, 8143])).
% 1.17/1.36 tff(8145,plain,
% 1.17/1.36 ((cell52 = cell11) <=> (cell52 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(8146,plain,
% 1.17/1.36 ((cell52 = cell11) <=> (X!1 = cell52)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8145, 601])).
% 1.17/1.36 tff(8147,plain,
% 1.17/1.36 ((~(cell52 = cell11)) <=> (~(X!1 = cell52))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8146])).
% 1.17/1.36 tff(8148,plain,
% 1.17/1.36 ((~(cell52 = cell11)) <=> (~(cell52 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8149,axiom,(~(cell52 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48442')).
% 1.17/1.36 tff(8150,plain,
% 1.17/1.36 (~(cell52 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8149, 8148])).
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% 1.17/1.36 (~(X!1 = cell52)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8150, 8147])).
% 1.17/1.36 tff(8152,plain,
% 1.17/1.36 ((~(Y!0 = cell51)) | (~(X!1 = cell52))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1273, 8151])).
% 1.17/1.36 tff(8153,plain,
% 1.17/1.36 ((cell53 = cell11) <=> (cell53 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(8154,plain,
% 1.17/1.36 ((cell53 = cell11) <=> (X!1 = cell53)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8153, 611])).
% 1.17/1.36 tff(8155,plain,
% 1.17/1.36 ((~(cell53 = cell11)) <=> (~(X!1 = cell53))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8154])).
% 1.17/1.36 tff(8156,plain,
% 1.17/1.36 ((~(cell53 = cell11)) <=> (~(cell53 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8157,axiom,(~(cell53 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48331')).
% 1.17/1.36 tff(8158,plain,
% 1.17/1.36 (~(cell53 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8157, 8156])).
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% 1.17/1.36 (~(X!1 = cell53)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8158, 8155])).
% 1.17/1.36 tff(8160,plain,
% 1.17/1.36 ((~(Y!0 = cell52)) | (~(X!1 = cell53))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1275, 8159])).
% 1.17/1.36 tff(8161,plain,
% 1.17/1.36 ((cell54 = cell11) <=> (cell54 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
% 1.17/1.36 tff(8162,plain,
% 1.17/1.36 ((cell54 = cell11) <=> (X!1 = cell54)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8161, 621])).
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% 1.17/1.36 ((~(cell54 = cell11)) <=> (~(X!1 = cell54))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8162])).
% 1.17/1.36 tff(8164,plain,
% 1.17/1.36 ((~(cell54 = cell11)) <=> (~(cell54 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8165,axiom,(~(cell54 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48274')).
% 1.17/1.36 tff(8166,plain,
% 1.17/1.36 (~(cell54 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8165, 8164])).
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% 1.17/1.36 (~(X!1 = cell54)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8166, 8163])).
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% 1.17/1.36 ((~(Y!0 = cell53)) | (~(X!1 = cell54))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1277, 8167])).
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% 1.17/1.36 ((cell55 = cell11) <=> (cell55 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
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% 1.17/1.36 ((cell55 = cell11) <=> (X!1 = cell55)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8169, 631])).
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% 1.17/1.36 ((~(cell55 = cell11)) <=> (~(X!1 = cell55))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8170])).
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% 1.17/1.36 ((~(cell55 = cell11)) <=> (~(cell55 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8173,axiom,(~(cell55 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48216')).
% 1.17/1.36 tff(8174,plain,
% 1.17/1.36 (~(cell55 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8173, 8172])).
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% 1.17/1.36 (~(X!1 = cell55)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8174, 8171])).
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% 1.17/1.36 ((~(Y!0 = cell54)) | (~(X!1 = cell55))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1279, 8175])).
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% 1.17/1.36 ((cell56 = cell11) <=> (cell56 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
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% 1.17/1.36 ((cell56 = cell11) <=> (X!1 = cell56)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8177, 641])).
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% 1.17/1.36 ((~(cell56 = cell11)) <=> (~(X!1 = cell56))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8178])).
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% 1.17/1.36 ((~(cell56 = cell11)) <=> (~(cell56 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8181,axiom,(~(cell56 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48157')).
% 1.17/1.36 tff(8182,plain,
% 1.17/1.36 (~(cell56 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8181, 8180])).
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% 1.17/1.36 (~(X!1 = cell56)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8182, 8179])).
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% 1.17/1.36 ((~(Y!0 = cell55)) | (~(X!1 = cell56))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1281, 8183])).
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% 1.17/1.36 ((cell57 = cell11) <=> (cell57 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
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% 1.17/1.36 ((cell57 = cell11) <=> (X!1 = cell57)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8185, 651])).
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% 1.17/1.36 ((~(cell57 = cell11)) <=> (~(X!1 = cell57))),
% 1.17/1.36 inference(monotonicity,[status(thm)],[8186])).
% 1.17/1.36 tff(8188,plain,
% 1.17/1.36 ((~(cell57 = cell11)) <=> (~(cell57 = cell11))),
% 1.17/1.36 inference(rewrite,[status(thm)],[])).
% 1.17/1.36 tff(8189,axiom,(~(cell57 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48097')).
% 1.17/1.36 tff(8190,plain,
% 1.17/1.36 (~(cell57 = cell11)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8189, 8188])).
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% 1.17/1.36 (~(X!1 = cell57)),
% 1.17/1.36 inference(modus_ponens,[status(thm)],[8190, 8187])).
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% 1.17/1.36 ((~(Y!0 = cell56)) | (~(X!1 = cell57))),
% 1.17/1.36 inference(unit_resolution,[status(thm)],[1283, 8191])).
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% 1.17/1.36 ((cell58 = cell11) <=> (cell58 = X!1)),
% 1.17/1.36 inference(monotonicity,[status(thm)],[7728])).
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% 1.17/1.36 ((cell58 = cell11) <=> (X!1 = cell58)),
% 1.17/1.36 inference(transitivity,[status(thm)],[8193, 661])).
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% 1.17/1.37 ((~(cell58 = cell11)) <=> (~(X!1 = cell58))),
% 1.17/1.37 inference(monotonicity,[status(thm)],[8194])).
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% 1.17/1.37 ((~(cell58 = cell11)) <=> (~(cell58 = cell11))),
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% 1.17/1.37 tff(8197,axiom,(~(cell58 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48036')).
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% 1.17/1.37 (~(cell58 = cell11)),
% 1.17/1.37 inference(modus_ponens,[status(thm)],[8197, 8196])).
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% 1.17/1.37 (~(X!1 = cell58)),
% 1.17/1.37 inference(modus_ponens,[status(thm)],[8198, 8195])).
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% 1.17/1.37 ((~(Y!0 = cell57)) | (~(X!1 = cell58))),
% 1.17/1.37 inference(unit_resolution,[status(thm)],[1285, 8199])).
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% 1.17/1.37 ((cell59 = cell11) <=> (cell59 = X!1)),
% 1.17/1.37 inference(monotonicity,[status(thm)],[7728])).
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% 1.17/1.37 ((cell59 = cell11) <=> (X!1 = cell59)),
% 1.17/1.37 inference(transitivity,[status(thm)],[8201, 671])).
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% 1.17/1.37 ((~(cell59 = cell11)) <=> (~(X!1 = cell59))),
% 1.17/1.37 inference(monotonicity,[status(thm)],[8202])).
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% 1.17/1.37 ((~(cell59 = cell11)) <=> (~(cell59 = cell11))),
% 1.17/1.37 inference(rewrite,[status(thm)],[])).
% 1.17/1.37 tff(8205,axiom,(~(cell59 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47974')).
% 1.17/1.37 tff(8206,plain,
% 1.17/1.37 (~(cell59 = cell11)),
% 1.17/1.37 inference(modus_ponens,[status(thm)],[8205, 8204])).
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% 1.17/1.37 (~(X!1 = cell59)),
% 1.17/1.37 inference(modus_ponens,[status(thm)],[8206, 8203])).
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% 1.17/1.37 ((~(Y!0 = cell58)) | (~(X!1 = cell59))),
% 1.17/1.37 inference(unit_resolution,[status(thm)],[1287, 8207])).
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% 1.17/1.37 ((cell60 = cell11) <=> (cell60 = X!1)),
% 1.17/1.37 inference(monotonicity,[status(thm)],[7728])).
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% 1.17/1.37 ((cell60 = cell11) <=> (X!1 = cell60)),
% 1.17/1.37 inference(transitivity,[status(thm)],[8209, 1127])).
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% 1.17/1.37 ((~(cell60 = cell11)) <=> (~(X!1 = cell60))),
% 1.17/1.37 inference(monotonicity,[status(thm)],[8210])).
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% 1.17/1.37 ((~(cell60 = cell11)) <=> (~(cell60 = cell11))),
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% 1.17/1.37 tff(8213,axiom,(~(cell60 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47911')).
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% 1.17/1.37 (~(cell60 = cell11)),
% 1.17/1.37 inference(modus_ponens,[status(thm)],[8213, 8212])).
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% 1.17/1.37 inference(modus_ponens,[status(thm)],[8214, 8211])).
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% 1.17/1.37 inference(unit_resolution,[status(thm)],[1289, 8215])).
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% 1.17/1.37 ((cell62 = cell11) <=> (cell62 = X!1)),
% 1.17/1.37 inference(monotonicity,[status(thm)],[7728])).
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% 1.17/1.37 ((cell62 = cell11) <=> (X!1 = cell62)),
% 1.17/1.37 inference(transitivity,[status(thm)],[8217, 691])).
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% 1.17/1.37 inference(monotonicity,[status(thm)],[8218])).
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% 1.17/1.37 ((~(cell62 = cell11)) <=> (~(cell62 = cell11))),
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% 1.17/1.37 tff(8221,axiom,(~(cell62 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47847')).
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% 1.17/1.37 (~(cell62 = cell11)),
% 1.17/1.37 inference(modus_ponens,[status(thm)],[8221, 8220])).
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% 1.17/1.37 inference(modus_ponens,[status(thm)],[8222, 8219])).
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% 1.17/1.37 ((cell63 = cell11) <=> (cell63 = X!1)),
% 1.17/1.37 inference(monotonicity,[status(thm)],[7728])).
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% 1.17/1.37 ((~(cell63 = cell11)) <=> (~(X!1 = cell63))),
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% 1.17/1.37 ((~(cell63 = cell11)) <=> (~(cell63 = cell11))),
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% 1.17/1.37 tff(8229,axiom,(~(cell63 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47716')).
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% 1.20/1.37 ((cell64 = cell11) <=> (cell64 = X!1)),
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% 1.20/1.37 ((~(cell64 = cell11)) <=> (~(cell64 = cell11))),
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% 1.20/1.37 tff(8237,axiom,(~(cell64 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47649')).
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% 1.20/1.37 ((cell65 = cell11) <=> (cell65 = X!1)),
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% 1.20/1.37 ((~(cell65 = cell11)) <=> (~(cell65 = cell11))),
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% 1.20/1.37 tff(8245,axiom,(~(cell65 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47581')).
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% 1.20/1.37 tff(8253,axiom,(~(cell66 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47512')).
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% 1.20/1.37 ((~(cell67 = cell11)) <=> (~(cell67 = cell11))),
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% 1.20/1.37 tff(8261,axiom,(~(cell67 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47442')).
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% 1.20/1.37 inference(modus_ponens,[status(thm)],[8261, 8260])).
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% 1.20/1.37 inference(modus_ponens,[status(thm)],[8262, 8259])).
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% 1.20/1.37 ((~(Y!0 = cell66)) | (~(X!1 = cell67))),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1301, 8263])).
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% 1.20/1.37 ((cell68 = cell11) <=> (cell68 = X!1)),
% 1.20/1.37 inference(monotonicity,[status(thm)],[7728])).
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% 1.20/1.37 ((cell68 = cell11) <=> (X!1 = cell68)),
% 1.20/1.37 inference(transitivity,[status(thm)],[8265, 751])).
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% 1.20/1.37 ((~(cell68 = cell11)) <=> (~(X!1 = cell68))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[8266])).
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% 1.20/1.37 ((~(cell68 = cell11)) <=> (~(cell68 = cell11))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(8269,axiom,(~(cell68 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47371')).
% 1.20/1.37 tff(8270,plain,
% 1.20/1.37 (~(cell68 = cell11)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[8269, 8268])).
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% 1.20/1.37 inference(modus_ponens,[status(thm)],[8270, 8267])).
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% 1.20/1.37 ((cell69 = cell11) <=> (cell69 = X!1)),
% 1.20/1.37 inference(monotonicity,[status(thm)],[7728])).
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% 1.20/1.37 ((cell69 = cell11) <=> (X!1 = cell69)),
% 1.20/1.37 inference(transitivity,[status(thm)],[8273, 761])).
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% 1.20/1.37 ((~(cell69 = cell11)) <=> (~(X!1 = cell69))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[8274])).
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% 1.20/1.37 inference(modus_ponens,[status(thm)],[4051, 8275])).
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% 1.20/1.37 ((~(Y!0 = cell68)) | (~(X!1 = cell69))),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1305, 8276])).
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% 1.20/1.37 ((cell70 = cell11) <=> (cell70 = X!1)),
% 1.20/1.37 inference(monotonicity,[status(thm)],[7728])).
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% 1.20/1.37 ((cell70 = cell11) <=> (X!1 = cell70)),
% 1.20/1.37 inference(transitivity,[status(thm)],[8278, 1155])).
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% 1.20/1.37 ((~(cell70 = cell11)) <=> (~(X!1 = cell70))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[8279])).
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% 1.20/1.37 ((~(cell70 = cell11)) <=> (~(cell70 = cell11))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(8282,axiom,(~(cell70 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47226')).
% 1.20/1.37 tff(8283,plain,
% 1.20/1.37 (~(cell70 = cell11)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[8282, 8281])).
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% 1.20/1.37 inference(modus_ponens,[status(thm)],[8283, 8280])).
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% 1.20/1.37 ((~(Y!0 = cell69)) | (~(X!1 = cell70))),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1307, 8284])).
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% 1.20/1.37 ((cell72 = cell11) <=> (cell72 = X!1)),
% 1.20/1.37 inference(monotonicity,[status(thm)],[7728])).
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% 1.20/1.37 ((cell72 = cell11) <=> (X!1 = cell72)),
% 1.20/1.37 inference(transitivity,[status(thm)],[8286, 781])).
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% 1.20/1.37 ((~(cell72 = cell11)) <=> (~(X!1 = cell72))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[8287])).
% 1.20/1.37 tff(8289,plain,
% 1.20/1.37 ((~(cell72 = cell11)) <=> (~(cell72 = cell11))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(8290,axiom,(~(cell72 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47152')).
% 1.20/1.37 tff(8291,plain,
% 1.20/1.37 (~(cell72 = cell11)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[8290, 8289])).
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% 1.20/1.37 (~(X!1 = cell72)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[8291, 8288])).
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% 1.20/1.37 inference(unit_resolution,[status(thm)],[1309, 8292])).
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% 1.20/1.37 ((cell73 = cell11) <=> (cell73 = X!1)),
% 1.20/1.37 inference(monotonicity,[status(thm)],[7728])).
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% 1.20/1.37 ((cell73 = cell11) <=> (X!1 = cell73)),
% 1.20/1.37 inference(transitivity,[status(thm)],[8294, 791])).
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% 1.20/1.37 ((~(cell73 = cell11)) <=> (~(X!1 = cell73))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[8295])).
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% 1.20/1.37 ((~(cell73 = cell11)) <=> (~(cell73 = cell11))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(8298,axiom,(~(cell73 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47001')).
% 1.20/1.37 tff(8299,plain,
% 1.20/1.37 (~(cell73 = cell11)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[8298, 8297])).
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% 1.20/1.37 (~(X!1 = cell73)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[8299, 8296])).
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% 1.20/1.37 ((~(Y!0 = cell72)) | (~(X!1 = cell73))),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1311, 8300])).
% 1.20/1.37 tff(8302,plain,
% 1.20/1.37 ((cell74 = cell11) <=> (cell74 = X!1)),
% 1.20/1.37 inference(monotonicity,[status(thm)],[7728])).
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% 1.20/1.37 ((cell74 = cell11) <=> (X!1 = cell74)),
% 1.20/1.37 inference(transitivity,[status(thm)],[8302, 801])).
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% 1.20/1.37 ((~(cell74 = cell11)) <=> (~(X!1 = cell74))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[8303])).
% 1.20/1.37 tff(8305,plain,
% 1.20/1.37 ((~(cell74 = cell11)) <=> (~(cell74 = cell11))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(8306,axiom,(~(cell74 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46924')).
% 1.20/1.37 tff(8307,plain,
% 1.20/1.37 (~(cell74 = cell11)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[8306, 8305])).
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% 1.20/1.37 (~(X!1 = cell74)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[8307, 8304])).
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% 1.20/1.37 ((~(Y!0 = cell73)) | (~(X!1 = cell74))),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1313, 8308])).
% 1.20/1.37 tff(8310,plain,
% 1.20/1.37 ((cell75 = cell11) <=> (cell75 = X!1)),
% 1.20/1.37 inference(monotonicity,[status(thm)],[7728])).
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% 1.20/1.37 ((cell75 = cell11) <=> (X!1 = cell75)),
% 1.20/1.37 inference(transitivity,[status(thm)],[8310, 811])).
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% 1.20/1.37 ((~(cell75 = cell11)) <=> (~(X!1 = cell75))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[8311])).
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% 1.20/1.37 ((~(cell75 = cell11)) <=> (~(cell75 = cell11))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(8314,axiom,(~(cell75 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46846')).
% 1.20/1.37 tff(8315,plain,
% 1.20/1.37 (~(cell75 = cell11)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[8314, 8313])).
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% 1.20/1.37 (~(X!1 = cell75)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[8315, 8312])).
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% 1.20/1.37 ((~(Y!0 = cell74)) | (~(X!1 = cell75))),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1315, 8316])).
% 1.20/1.37 tff(8318,plain,
% 1.20/1.37 ((cell76 = cell11) <=> (cell76 = X!1)),
% 1.20/1.37 inference(monotonicity,[status(thm)],[7728])).
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% 1.20/1.37 ((cell76 = cell11) <=> (X!1 = cell76)),
% 1.20/1.37 inference(transitivity,[status(thm)],[8318, 821])).
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% 1.20/1.37 ((~(cell76 = cell11)) <=> (~(X!1 = cell76))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[8319])).
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% 1.20/1.37 ((~(cell76 = cell11)) <=> (~(cell76 = cell11))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(8322,axiom,(~(cell76 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46767')).
% 1.20/1.37 tff(8323,plain,
% 1.20/1.37 (~(cell76 = cell11)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[8322, 8321])).
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% 1.20/1.37 (~(X!1 = cell76)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[8323, 8320])).
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% 1.20/1.37 inference(unit_resolution,[status(thm)],[1317, 8324])).
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% 1.20/1.37 ((cell77 = cell11) <=> (cell77 = X!1)),
% 1.20/1.37 inference(monotonicity,[status(thm)],[7728])).
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% 1.20/1.37 inference(transitivity,[status(thm)],[8326, 831])).
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% 1.20/1.37 ((~(cell77 = cell11)) <=> (~(X!1 = cell77))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[8327])).
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% 1.20/1.37 ((~(cell77 = cell11)) <=> (~(cell77 = cell11))),
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% 1.20/1.37 tff(8330,axiom,(~(cell77 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46687')).
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% 1.20/1.37 ((cell78 = cell11) <=> (cell78 = X!1)),
% 1.20/1.37 inference(monotonicity,[status(thm)],[7728])).
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% 1.20/1.37 ((cell78 = cell11) <=> (X!1 = cell78)),
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% 1.20/1.37 inference(monotonicity,[status(thm)],[8335])).
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% 1.20/1.37 ((cell79 = cell11) <=> (cell79 = X!1)),
% 1.20/1.37 inference(monotonicity,[status(thm)],[7728])).
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% 1.20/1.37 ((cell79 = cell11) <=> (X!1 = cell79)),
% 1.20/1.37 inference(transitivity,[status(thm)],[8339, 851])).
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% 1.20/1.37 inference(monotonicity,[status(thm)],[8340])).
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% 1.20/1.37 ((cell100 = cell11) <=> (cell100 = X!1)),
% 1.20/1.37 inference(monotonicity,[status(thm)],[7728])).
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% 1.20/1.37 inference(monotonicity,[status(thm)],[8345])).
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% 1.20/1.37 inference(modus_ponens,[status(thm)],[5894, 8346])).
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% 1.20/1.37 ((cell82 = cell11) <=> (cell82 = X!1)),
% 1.20/1.37 inference(monotonicity,[status(thm)],[7728])).
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% 1.20/1.37 inference(transitivity,[status(thm)],[8349, 871])).
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% 1.20/1.37 inference(monotonicity,[status(thm)],[8350])).
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% 1.20/1.37 ((~(cell82 = cell11)) <=> (~(cell82 = cell11))),
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% 1.20/1.37 tff(8353,axiom,(~(cell82 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46441')).
% 1.20/1.37 tff(8354,plain,
% 1.20/1.37 (~(cell82 = cell11)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[8353, 8352])).
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% 1.20/1.37 (~(X!1 = cell82)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[8354, 8351])).
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% 1.20/1.37 inference(unit_resolution,[status(thm)],[1327, 8355])).
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% 1.20/1.37 ((cell83 = cell11) <=> (cell83 = X!1)),
% 1.20/1.37 inference(monotonicity,[status(thm)],[7728])).
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% 1.20/1.37 ((cell83 = cell11) <=> (X!1 = cell83)),
% 1.20/1.37 inference(transitivity,[status(thm)],[8357, 881])).
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% 1.20/1.37 ((~(cell83 = cell11)) <=> (~(X!1 = cell83))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[8358])).
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% 1.20/1.37 ((~(cell83 = cell11)) <=> (~(cell83 = cell11))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(8361,axiom,(~(cell83 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46272')).
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% 1.20/1.37 (~(cell83 = cell11)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[8361, 8360])).
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% 1.20/1.37 inference(modus_ponens,[status(thm)],[8362, 8359])).
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% 1.20/1.37 inference(unit_resolution,[status(thm)],[1329, 8363])).
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% 1.20/1.37 ((cell84 = cell11) <=> (cell84 = X!1)),
% 1.20/1.37 inference(monotonicity,[status(thm)],[7728])).
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% 1.20/1.37 ((cell84 = cell11) <=> (X!1 = cell84)),
% 1.20/1.37 inference(transitivity,[status(thm)],[8365, 891])).
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% 1.20/1.37 ((~(cell84 = cell11)) <=> (~(X!1 = cell84))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[8366])).
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% 1.20/1.37 ((~(cell84 = cell11)) <=> (~(cell84 = cell11))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(8369,axiom,(~(cell84 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46186')).
% 1.20/1.37 tff(8370,plain,
% 1.20/1.37 (~(cell84 = cell11)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[8369, 8368])).
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% 1.20/1.37 (~(X!1 = cell84)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[8370, 8367])).
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% 1.20/1.37 ((cell85 = cell11) <=> (cell85 = X!1)),
% 1.20/1.37 inference(monotonicity,[status(thm)],[7728])).
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% 1.20/1.37 ((cell85 = cell11) <=> (X!1 = cell85)),
% 1.20/1.37 inference(transitivity,[status(thm)],[8373, 901])).
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% 1.20/1.37 ((~(cell85 = cell11)) <=> (~(X!1 = cell85))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[8374])).
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% 1.20/1.37 ((~(cell85 = cell11)) <=> (~(cell85 = cell11))),
% 1.20/1.37 inference(rewrite,[status(thm)],[])).
% 1.20/1.37 tff(8377,axiom,(~(cell85 = cell11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46099')).
% 1.20/1.37 tff(8378,plain,
% 1.20/1.37 (~(cell85 = cell11)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[8377, 8376])).
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% 1.20/1.37 (~(X!1 = cell85)),
% 1.20/1.37 inference(modus_ponens,[status(thm)],[8378, 8375])).
% 1.20/1.37 tff(8380,plain,
% 1.20/1.37 ((~(Y!0 = cell84)) | (~(X!1 = cell85))),
% 1.20/1.37 inference(unit_resolution,[status(thm)],[1333, 8379])).
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% 1.20/1.37 ((cell86 = cell11) <=> (cell86 = X!1)),
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% 1.20/1.37 inference(monotonicity,[status(thm)],[8390])).
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% 1.20/1.37 inference(transitivity,[status(thm)],[8504, 771])).
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% 1.20/1.37 inference(monotonicity,[status(thm)],[8505])).
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% 1.20/1.39 inference(unit_resolution,[status(thm)],[2155, 8751, 8552, 8551, 8550, 8549, 8548, 8547, 8546, 8545, 8537, 8536, 8535, 8534, 8533, 8532, 8531, 8530, 8529, 8528, 8520, 8519, 8518, 8517, 8516, 8515, 8514, 8513, 8512, 8511, 8503, 8502, 8501, 8500, 8499, 8498, 8497, 8496, 8495, 8494, 8486, 8485, 8484, 8483, 8482, 8481, 8480, 8479, 8478, 8477, 8469, 8468, 8467, 8466, 8465, 8464, 8463, 8462, 8461, 8460, 8452, 8451, 8450, 8449, 8448, 8447, 8446, 8445, 8444, 4853, 8442, 8441, 8440, 8439, 8438, 8437, 8436, 8435, 8434, 8427, 8419, 8418, 8417, 8416, 8415, 8414, 8413, 8412, 8410, 3307, 8409, 3296, 8404, 8396, 8388, 8380, 8372, 8364, 8356, 8348, 8343, 8338, 8333, 8325, 8317, 8309, 8301, 8293, 8285, 8277, 8272, 8264, 8256, 8248, 8240, 8232, 8224, 8216, 8208, 8200, 8192, 8184, 8176, 8168, 8160, 8152, 8144, 8136, 8128, 8120, 8112, 8104, 8096, 8088, 8080, 8072, 8064, 8056, 8048, 8040, 8032, 8024, 8016, 8008, 8000, 7992, 7984, 7976, 7968, 7960, 7952, 7944, 4338, 7935, 7927, 7919, 7911, 7903, 7895, 7887, 7879, 7874, 7866, 7858, 7850, 7842, 7834, 7826, 7818, 7810, 7802, 7795, 7794, 7789, 7781, 7773, 7765, 7757, 7749, 7741, 7733])).
% 1.20/1.39 tff(8753,plain,
% 1.20/1.39 (~edge(Y!0, X!1)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[2153, 8752])).
% 1.20/1.39 tff(8754,plain,
% 1.20/1.39 ((~(X!1 = cell11)) | (~(Y!0 = cell21))),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[2117, 4337])).
% 1.20/1.39 tff(8755,plain,
% 1.20/1.39 (~oxygen(cell12)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[2202, 8748, 2187, 1531])).
% 1.20/1.39 tff(8756,plain,
% 1.20/1.39 (~(Y!0 = cell12)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[2217, 8755])).
% 1.20/1.39 tff(8757,plain,
% 1.20/1.39 ((~(X!1 = cell11)) | (~(Y!0 = cell12))),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[2119, 8756])).
% 1.20/1.39 tff(8758,plain,
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% 1.20/1.39 inference(unit_resolution,[status(thm)],[2121, 8757, 3943, 8754, 8746, 8742, 8741, 8740, 8739, 8738, 8656, 8737, 8736, 8735, 8734, 8733, 8732, 8731, 8730, 8729, 8728, 8727, 8726, 8725, 8724, 8723, 8722, 8721, 8720, 8719, 8718, 8717, 8716, 8715, 8714, 8713, 8712, 8711, 8710, 8709, 8708, 8707, 8706, 8705, 8704, 8703, 8702, 8701, 8700, 8699, 8698, 8697, 8696, 8695, 8694, 8693, 8692, 8691, 8690, 8689, 8688, 8687, 8686, 8685, 8684, 8683, 8682, 8681, 8680, 8679, 8678, 8677, 8676, 8675, 8674, 8673, 8672, 8671, 8669, 8745, 8667, 8666, 8665, 8664, 8663, 8662, 8661, 8660, 8659, 8658, 8657, 8744, 8655, 8654, 8653, 8652, 8651, 8650, 8649, 3942, 8648, 8647, 8646, 8645, 8644, 8643, 8642, 8641, 8640, 8639, 8638, 8637, 8636, 8635, 8634, 8633, 8632, 8631, 8630, 8629, 8628, 8627, 8626, 8625, 8624, 8623, 8622, 8621, 8620, 8619, 8618, 8617, 8616, 8615, 8614, 8613, 8612, 8611, 8610, 8609, 8608, 8607, 8606, 8605, 8604, 8603, 8602, 8601, 8600, 8599, 8598, 8597, 8596, 8588, 8587, 8586, 8585, 8584, 8583, 8582, 8581, 8580, 8578, 8577, 8576, 8575, 8574, 8573, 8572, 8570, 8569, 8568, 8567, 8566, 8565, 8564, 8563, 8562, 8561, 8560, 8743])).
% 1.20/1.39 tff(8759,plain,
% 1.20/1.39 (~edge(X!1, Y!0)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[2125, 8758, 2104])).
% 1.20/1.39 tff(8760,plain,
% 1.20/1.39 ($false),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[2141, 8759, 8753])).
% 1.20/1.39 tff(8761,plain,(oxygen(cell79) | oxygen(cell89) | patient(cell12) | patient(cell13) | oxygen(cell88)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.39 tff(8762,plain,
% 1.20/1.39 (oxygen(cell79)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[8761, 4081, 2387, 2388, 4069])).
% 1.20/1.39 tff(8763,plain,
% 1.20/1.39 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell1 = cell79) | (~oxygen(cell79)) | (~oxygen(cell1)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell1 = cell79) | (~oxygen(cell79)) | (~oxygen(cell1)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(8764,plain,
% 1.20/1.39 (((cell1 = cell79) | (~oxygen(cell1)) | (~oxygen(cell79))) <=> ((cell1 = cell79) | (~oxygen(cell79)) | (~oxygen(cell1)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(8765,plain,
% 1.20/1.39 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell1 = cell79) | (~oxygen(cell1)) | (~oxygen(cell79)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell1 = cell79) | (~oxygen(cell79)) | (~oxygen(cell1))))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8764])).
% 1.20/1.39 tff(8766,plain,
% 1.20/1.39 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell1 = cell79) | (~oxygen(cell1)) | (~oxygen(cell79)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell1 = cell79) | (~oxygen(cell79)) | (~oxygen(cell1)))),
% 1.20/1.39 inference(transitivity,[status(thm)],[8765, 8763])).
% 1.20/1.39 tff(8767,plain,
% 1.20/1.39 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell1 = cell79) | (~oxygen(cell1)) | (~oxygen(cell79)))),
% 1.20/1.39 inference(quant_inst,[status(thm)],[])).
% 1.20/1.39 tff(8768,plain,
% 1.20/1.39 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell1 = cell79) | (~oxygen(cell79)) | (~oxygen(cell1))),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[8767, 8766])).
% 1.20/1.39 tff(8769,plain,
% 1.20/1.39 ($false),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[8768, 8762, 1557, 2395, 4060])).
% 1.20/1.39 tff(8770,plain,((~oxygen(cell1)) | patient(cell12) | patient(cell13)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.39 tff(8771,plain,
% 1.20/1.39 (~oxygen(cell1)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[8770, 2387, 2388])).
% 1.20/1.39 tff(8772,plain,
% 1.20/1.39 (~(Y!0 = cell1)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[4175, 8771])).
% 1.20/1.39 tff(8773,plain,
% 1.20/1.39 ((~(Y!0 = cell1)) | (~(X!1 = cell11))),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[2157, 8772])).
% 1.20/1.39 tff(8774,plain,
% 1.20/1.39 (oxygen(cell88)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[8761, 1531, 2387, 2388, 2187])).
% 1.20/1.39 tff(8775,plain,
% 1.20/1.39 (cell88 = Y!0),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[2311, 8774, 1557, 1536])).
% 1.20/1.39 tff(8776,plain,
% 1.20/1.39 ((cell91 = cell88) <=> (cell91 = Y!0)),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.39 tff(8777,plain,
% 1.20/1.39 ((cell91 = cell88) <=> (Y!0 = cell91)),
% 1.20/1.39 inference(transitivity,[status(thm)],[8776, 2398])).
% 1.20/1.39 tff(8778,plain,
% 1.20/1.39 ((~(cell91 = cell88)) <=> (~(Y!0 = cell91))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8777])).
% 1.20/1.39 tff(8779,plain,
% 1.20/1.39 ((~(cell91 = cell88)) <=> (~(cell91 = cell88))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(8780,axiom,(~(cell91 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45736')).
% 1.20/1.39 tff(8781,plain,
% 1.20/1.39 (~(cell91 = cell88)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[8780, 8779])).
% 1.20/1.39 tff(8782,plain,
% 1.20/1.39 (~(Y!0 = cell91)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[8781, 8778])).
% 1.20/1.39 tff(8783,plain,
% 1.20/1.39 ((~(X!1 = cell92)) | (~(Y!0 = cell91))),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[2406, 8782])).
% 1.20/1.39 tff(8784,plain,
% 1.20/1.39 ((cell92 = cell88) <=> (cell92 = Y!0)),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.39 tff(8785,plain,
% 1.20/1.39 ((cell92 = cell88) <=> (Y!0 = cell92)),
% 1.20/1.39 inference(transitivity,[status(thm)],[8784, 2408])).
% 1.20/1.39 tff(8786,plain,
% 1.20/1.39 ((~(cell92 = cell88)) <=> (~(Y!0 = cell92))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8785])).
% 1.20/1.39 tff(8787,plain,
% 1.20/1.39 ((~(cell92 = cell88)) <=> (~(cell92 = cell88))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(8788,axiom,(~(cell92 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45827')).
% 1.20/1.39 tff(8789,plain,
% 1.20/1.39 (~(cell92 = cell88)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[8788, 8787])).
% 1.20/1.39 tff(8790,plain,
% 1.20/1.39 (~(Y!0 = cell92)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[8789, 8786])).
% 1.20/1.39 tff(8791,plain,
% 1.20/1.39 ((~(X!1 = cell93)) | (~(Y!0 = cell92))),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[2416, 8790])).
% 1.20/1.39 tff(8792,plain,
% 1.20/1.39 ((cell93 = cell88) <=> (cell93 = Y!0)),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.39 tff(8793,plain,
% 1.20/1.39 ((cell93 = cell88) <=> (Y!0 = cell93)),
% 1.20/1.39 inference(transitivity,[status(thm)],[8792, 2418])).
% 1.20/1.39 tff(8794,plain,
% 1.20/1.39 ((~(cell93 = cell88)) <=> (~(Y!0 = cell93))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8793])).
% 1.20/1.39 tff(8795,plain,
% 1.20/1.39 ((~(cell93 = cell88)) <=> (~(cell93 = cell88))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(8796,axiom,(~(cell93 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45644')).
% 1.20/1.39 tff(8797,plain,
% 1.20/1.39 (~(cell93 = cell88)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[8796, 8795])).
% 1.20/1.39 tff(8798,plain,
% 1.20/1.39 (~(Y!0 = cell93)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[8797, 8794])).
% 1.20/1.39 tff(8799,plain,
% 1.20/1.39 ((~(X!1 = cell94)) | (~(Y!0 = cell93))),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[2426, 8798])).
% 1.20/1.39 tff(8800,plain,
% 1.20/1.39 ((cell94 = cell88) <=> (cell94 = Y!0)),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.39 tff(8801,plain,
% 1.20/1.39 ((cell94 = cell88) <=> (Y!0 = cell94)),
% 1.20/1.39 inference(transitivity,[status(thm)],[8800, 2428])).
% 1.20/1.39 tff(8802,plain,
% 1.20/1.39 ((~(cell94 = cell88)) <=> (~(Y!0 = cell94))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8801])).
% 1.20/1.39 tff(8803,plain,
% 1.20/1.39 ((~(cell94 = cell88)) <=> (~(cell94 = cell88))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(8804,axiom,(~(cell94 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45551')).
% 1.20/1.39 tff(8805,plain,
% 1.20/1.39 (~(cell94 = cell88)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[8804, 8803])).
% 1.20/1.39 tff(8806,plain,
% 1.20/1.39 (~(Y!0 = cell94)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[8805, 8802])).
% 1.20/1.39 tff(8807,plain,
% 1.20/1.39 ((~(X!1 = cell95)) | (~(Y!0 = cell94))),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[2436, 8806])).
% 1.20/1.39 tff(8808,plain,
% 1.20/1.39 ((cell95 = cell88) <=> (cell95 = Y!0)),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.39 tff(8809,plain,
% 1.20/1.39 ((cell95 = cell88) <=> (Y!0 = cell95)),
% 1.20/1.39 inference(transitivity,[status(thm)],[8808, 2438])).
% 1.20/1.39 tff(8810,plain,
% 1.20/1.39 ((~(cell95 = cell88)) <=> (~(Y!0 = cell95))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8809])).
% 1.20/1.39 tff(8811,plain,
% 1.20/1.39 ((~(cell95 = cell88)) <=> (~(cell95 = cell88))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(8812,axiom,(~(cell95 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45457')).
% 1.20/1.39 tff(8813,plain,
% 1.20/1.39 (~(cell95 = cell88)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[8812, 8811])).
% 1.20/1.39 tff(8814,plain,
% 1.20/1.39 (~(Y!0 = cell95)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[8813, 8810])).
% 1.20/1.39 tff(8815,plain,
% 1.20/1.39 ((~(X!1 = cell96)) | (~(Y!0 = cell95))),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[2446, 8814])).
% 1.20/1.39 tff(8816,plain,
% 1.20/1.39 ((cell96 = cell88) <=> (cell96 = Y!0)),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.39 tff(8817,plain,
% 1.20/1.39 ((cell96 = cell88) <=> (Y!0 = cell96)),
% 1.20/1.39 inference(transitivity,[status(thm)],[8816, 2386])).
% 1.20/1.39 tff(8818,plain,
% 1.20/1.39 ((~(cell96 = cell88)) <=> (~(Y!0 = cell96))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8817])).
% 1.20/1.39 tff(8819,plain,
% 1.20/1.39 ((~(cell96 = cell88)) <=> (~(cell96 = cell88))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(8820,axiom,(~(cell96 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45362')).
% 1.20/1.39 tff(8821,plain,
% 1.20/1.39 (~(cell96 = cell88)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[8820, 8819])).
% 1.20/1.39 tff(8822,plain,
% 1.20/1.39 (~(Y!0 = cell96)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[8821, 8818])).
% 1.20/1.39 tff(8823,plain,
% 1.20/1.39 ((~(X!1 = cell97)) | (~(Y!0 = cell96))),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[2455, 8822])).
% 1.20/1.39 tff(8824,plain,
% 1.20/1.39 ((cell97 = cell88) <=> (cell97 = Y!0)),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.39 tff(8825,plain,
% 1.20/1.39 ((cell97 = cell88) <=> (Y!0 = cell97)),
% 1.20/1.39 inference(transitivity,[status(thm)],[8824, 2457])).
% 1.20/1.39 tff(8826,plain,
% 1.20/1.39 ((~(cell97 = cell88)) <=> (~(Y!0 = cell97))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8825])).
% 1.20/1.39 tff(8827,plain,
% 1.20/1.39 ((~(cell97 = cell88)) <=> (~(cell97 = cell88))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(8828,axiom,(~(cell97 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45266')).
% 1.20/1.39 tff(8829,plain,
% 1.20/1.39 (~(cell97 = cell88)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[8828, 8827])).
% 1.20/1.39 tff(8830,plain,
% 1.20/1.39 (~(Y!0 = cell97)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[8829, 8826])).
% 1.20/1.39 tff(8831,plain,
% 1.20/1.39 ((~(X!1 = cell98)) | (~(Y!0 = cell97))),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[2465, 8830])).
% 1.20/1.39 tff(8832,plain,
% 1.20/1.39 ((cell98 = cell88) <=> (cell98 = Y!0)),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.39 tff(8833,plain,
% 1.20/1.39 ((cell98 = cell88) <=> (Y!0 = cell98)),
% 1.20/1.39 inference(transitivity,[status(thm)],[8832, 2467])).
% 1.20/1.39 tff(8834,plain,
% 1.20/1.39 ((~(cell98 = cell88)) <=> (~(Y!0 = cell98))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8833])).
% 1.20/1.39 tff(8835,plain,
% 1.20/1.39 ((~(cell98 = cell88)) <=> (~(cell98 = cell88))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(8836,axiom,(~(cell98 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45169')).
% 1.20/1.39 tff(8837,plain,
% 1.20/1.39 (~(cell98 = cell88)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[8836, 8835])).
% 1.20/1.39 tff(8838,plain,
% 1.20/1.39 (~(Y!0 = cell98)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[8837, 8834])).
% 1.20/1.39 tff(8839,plain,
% 1.20/1.39 ((~(X!1 = cell99)) | (~(Y!0 = cell98))),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[2475, 8838])).
% 1.20/1.39 tff(8840,plain,
% 1.20/1.39 ((cell88 = cell90) <=> (Y!0 = cell90)),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.39 tff(8841,plain,
% 1.20/1.39 ((~(cell88 = cell90)) <=> (~(Y!0 = cell90))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8840])).
% 1.20/1.39 tff(8842,plain,
% 1.20/1.39 (~(Y!0 = cell90)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[6595, 8841])).
% 1.20/1.39 tff(8843,plain,
% 1.20/1.39 ((~(Y!0 = cell90)) | (~(X!1 = cell100))),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[3548, 8842])).
% 1.20/1.39 tff(8844,plain,
% 1.20/1.39 ((cell87 = cell88) <=> (cell87 = Y!0)),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.39 tff(8845,plain,
% 1.20/1.39 ((cell87 = cell88) <=> (Y!0 = cell87)),
% 1.20/1.39 inference(transitivity,[status(thm)],[8844, 3223])).
% 1.20/1.39 tff(8846,plain,
% 1.20/1.39 ((~(cell87 = cell88)) <=> (~(Y!0 = cell87))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8845])).
% 1.20/1.39 tff(8847,plain,
% 1.20/1.39 ((~(cell87 = cell88)) <=> (~(cell87 = cell88))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(8848,axiom,(~(cell87 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45917')).
% 1.20/1.39 tff(8849,plain,
% 1.20/1.39 (~(cell87 = cell88)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[8848, 8847])).
% 1.20/1.39 tff(8850,plain,
% 1.20/1.39 (~(Y!0 = cell87)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[8849, 8846])).
% 1.20/1.39 tff(8851,plain,
% 1.20/1.39 ((~(Y!0 = cell87)) | (~(X!1 = cell97))),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[3540, 8850])).
% 1.20/1.39 tff(8852,plain,
% 1.20/1.39 ((cell88 = cell2) <=> (Y!0 = cell2)),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.39 tff(8853,plain,
% 1.20/1.39 ((~(cell88 = cell2)) <=> (~(Y!0 = cell2))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8852])).
% 1.20/1.39 tff(8854,plain,
% 1.20/1.39 ((~(cell88 = cell2)) <=> (~(cell88 = cell2))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(8855,axiom,(~(cell88 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49900')).
% 1.20/1.39 tff(8856,plain,
% 1.20/1.39 (~(cell88 = cell2)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[8855, 8854])).
% 1.20/1.39 tff(8857,plain,
% 1.20/1.39 (~(Y!0 = cell2)),
% 1.20/1.39 inference(modus_ponens,[status(thm)],[8856, 8853])).
% 1.20/1.39 tff(8858,plain,
% 1.20/1.39 ((~(Y!0 = cell2)) | (~(X!1 = cell3))),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[2495, 8857])).
% 1.20/1.39 tff(8859,plain,
% 1.20/1.39 (~oxygen(cell79)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[2349, 2274])).
% 1.20/1.39 tff(8860,plain,
% 1.20/1.39 (~oxygen(cell89)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[2286, 2274])).
% 1.20/1.39 tff(8861,plain,
% 1.20/1.39 (oxygen(cell88)),
% 1.20/1.39 inference(unit_resolution,[status(thm)],[8761, 8860, 2387, 2388, 8859])).
% 1.20/1.39 tff(8862,plain,
% 1.20/1.39 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell3 = cell88) | (~oxygen(cell88)) | (~oxygen(cell3)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell3 = cell88) | (~oxygen(cell88)) | (~oxygen(cell3)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(8863,plain,
% 1.20/1.39 (((cell3 = cell88) | (~oxygen(cell3)) | (~oxygen(cell88))) <=> ((cell3 = cell88) | (~oxygen(cell88)) | (~oxygen(cell3)))),
% 1.20/1.39 inference(rewrite,[status(thm)],[])).
% 1.20/1.39 tff(8864,plain,
% 1.20/1.39 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell3 = cell88) | (~oxygen(cell3)) | (~oxygen(cell88)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell3 = cell88) | (~oxygen(cell88)) | (~oxygen(cell3))))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[8863])).
% 1.20/1.40 tff(8865,plain,
% 1.20/1.40 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell3 = cell88) | (~oxygen(cell3)) | (~oxygen(cell88)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell3 = cell88) | (~oxygen(cell88)) | (~oxygen(cell3)))),
% 1.20/1.40 inference(transitivity,[status(thm)],[8864, 8862])).
% 1.20/1.40 tff(8866,plain,
% 1.20/1.40 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell3 = cell88) | (~oxygen(cell3)) | (~oxygen(cell88)))),
% 1.20/1.40 inference(quant_inst,[status(thm)],[])).
% 1.20/1.40 tff(8867,plain,
% 1.20/1.40 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell3 = cell88) | (~oxygen(cell88)) | (~oxygen(cell3))),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8866, 8865])).
% 1.20/1.40 tff(8868,plain,
% 1.20/1.40 ($false),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[8867, 8861, 1557, 2328, 2274])).
% 1.20/1.40 tff(8869,plain,((~oxygen(cell3)) | patient(cell12) | patient(cell13)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.40 tff(8870,plain,
% 1.20/1.40 (~oxygen(cell3)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[8869, 2387, 2388])).
% 1.20/1.40 tff(8871,plain,
% 1.20/1.40 (~(Y!0 = cell3)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2272, 8870])).
% 1.20/1.40 tff(8872,plain,
% 1.20/1.40 ((~(Y!0 = cell3)) | (~(X!1 = cell4))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2501, 8871])).
% 1.20/1.40 tff(8873,plain,
% 1.20/1.40 ((cell4 = cell88) <=> (cell4 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(8874,plain,
% 1.20/1.40 ((cell4 = cell88) <=> (Y!0 = cell4)),
% 1.20/1.40 inference(transitivity,[status(thm)],[8873, 2503])).
% 1.20/1.40 tff(8875,plain,
% 1.20/1.40 ((~(cell4 = cell88)) <=> (~(Y!0 = cell4))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8874])).
% 1.20/1.40 tff(8876,plain,
% 1.20/1.40 ((~(cell4 = cell88)) <=> (~(cell4 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(8877,axiom,(~(cell4 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49856')).
% 1.20/1.40 tff(8878,plain,
% 1.20/1.40 (~(cell4 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8877, 8876])).
% 1.20/1.40 tff(8879,plain,
% 1.20/1.40 (~(Y!0 = cell4)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8878, 8875])).
% 1.20/1.40 tff(8880,plain,
% 1.20/1.40 ((~(Y!0 = cell4)) | (~(X!1 = cell5))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2511, 8879])).
% 1.20/1.40 tff(8881,plain,
% 1.20/1.40 ((cell5 = cell88) <=> (cell5 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(8882,plain,
% 1.20/1.40 ((cell5 = cell88) <=> (Y!0 = cell5)),
% 1.20/1.40 inference(transitivity,[status(thm)],[8881, 2513])).
% 1.20/1.40 tff(8883,plain,
% 1.20/1.40 ((~(cell5 = cell88)) <=> (~(Y!0 = cell5))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8882])).
% 1.20/1.40 tff(8884,plain,
% 1.20/1.40 ((~(cell5 = cell88)) <=> (~(cell5 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(8885,axiom,(~(cell5 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49844')).
% 1.20/1.40 tff(8886,plain,
% 1.20/1.40 (~(cell5 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8885, 8884])).
% 1.20/1.40 tff(8887,plain,
% 1.20/1.40 (~(Y!0 = cell5)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8886, 8883])).
% 1.20/1.40 tff(8888,plain,
% 1.20/1.40 ((~(Y!0 = cell5)) | (~(X!1 = cell6))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2521, 8887])).
% 1.20/1.40 tff(8889,plain,
% 1.20/1.40 ((cell6 = cell88) <=> (cell6 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(8890,plain,
% 1.20/1.40 ((cell6 = cell88) <=> (Y!0 = cell6)),
% 1.20/1.40 inference(transitivity,[status(thm)],[8889, 2523])).
% 1.20/1.40 tff(8891,plain,
% 1.20/1.40 ((~(cell6 = cell88)) <=> (~(Y!0 = cell6))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8890])).
% 1.20/1.40 tff(8892,plain,
% 1.20/1.40 ((~(cell6 = cell88)) <=> (~(cell6 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(8893,axiom,(~(cell6 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49831')).
% 1.20/1.40 tff(8894,plain,
% 1.20/1.40 (~(cell6 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8893, 8892])).
% 1.20/1.40 tff(8895,plain,
% 1.20/1.40 (~(Y!0 = cell6)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8894, 8891])).
% 1.20/1.40 tff(8896,plain,
% 1.20/1.40 ((~(Y!0 = cell6)) | (~(X!1 = cell7))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2531, 8895])).
% 1.20/1.40 tff(8897,plain,
% 1.20/1.40 ((cell7 = cell88) <=> (cell7 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(8898,plain,
% 1.20/1.40 ((cell7 = cell88) <=> (Y!0 = cell7)),
% 1.20/1.40 inference(transitivity,[status(thm)],[8897, 2533])).
% 1.20/1.40 tff(8899,plain,
% 1.20/1.40 ((~(cell7 = cell88)) <=> (~(Y!0 = cell7))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8898])).
% 1.20/1.40 tff(8900,plain,
% 1.20/1.40 ((~(cell7 = cell88)) <=> (~(cell7 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(8901,axiom,(~(cell7 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49817')).
% 1.20/1.40 tff(8902,plain,
% 1.20/1.40 (~(cell7 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8901, 8900])).
% 1.20/1.40 tff(8903,plain,
% 1.20/1.40 (~(Y!0 = cell7)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8902, 8899])).
% 1.20/1.40 tff(8904,plain,
% 1.20/1.40 ((~(Y!0 = cell7)) | (~(X!1 = cell8))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2541, 8903])).
% 1.20/1.40 tff(8905,plain,
% 1.20/1.40 ((cell8 = cell88) <=> (cell8 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(8906,plain,
% 1.20/1.40 ((cell8 = cell88) <=> (Y!0 = cell8)),
% 1.20/1.40 inference(transitivity,[status(thm)],[8905, 2543])).
% 1.20/1.40 tff(8907,plain,
% 1.20/1.40 ((~(cell8 = cell88)) <=> (~(Y!0 = cell8))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8906])).
% 1.20/1.40 tff(8908,plain,
% 1.20/1.40 ((~(cell8 = cell88)) <=> (~(cell8 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(8909,axiom,(~(cell8 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49802')).
% 1.20/1.40 tff(8910,plain,
% 1.20/1.40 (~(cell8 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8909, 8908])).
% 1.20/1.40 tff(8911,plain,
% 1.20/1.40 (~(Y!0 = cell8)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8910, 8907])).
% 1.20/1.40 tff(8912,plain,
% 1.20/1.40 ((~(Y!0 = cell8)) | (~(X!1 = cell9))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2551, 8911])).
% 1.20/1.40 tff(8913,plain,
% 1.20/1.40 ((cell9 = cell88) <=> (cell9 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(8914,plain,
% 1.20/1.40 ((cell9 = cell88) <=> (Y!0 = cell9)),
% 1.20/1.40 inference(transitivity,[status(thm)],[8913, 2553])).
% 1.20/1.40 tff(8915,plain,
% 1.20/1.40 ((~(cell9 = cell88)) <=> (~(Y!0 = cell9))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8914])).
% 1.20/1.40 tff(8916,plain,
% 1.20/1.40 ((~(cell9 = cell88)) <=> (~(cell9 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(8917,axiom,(~(cell9 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49786')).
% 1.20/1.40 tff(8918,plain,
% 1.20/1.40 (~(cell9 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8917, 8916])).
% 1.20/1.40 tff(8919,plain,
% 1.20/1.40 (~(Y!0 = cell9)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8918, 8915])).
% 1.20/1.40 tff(8920,plain,
% 1.20/1.40 ((~(Y!0 = cell9)) | (~(X!1 = cell10))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2561, 8919])).
% 1.20/1.40 tff(8921,plain,
% 1.20/1.40 ((cell88 = cell11) <=> (Y!0 = cell11)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(8922,plain,
% 1.20/1.40 ((~(cell88 = cell11)) <=> (~(Y!0 = cell11))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8921])).
% 1.20/1.40 tff(8923,plain,
% 1.20/1.40 (~(Y!0 = cell11)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8402, 8922])).
% 1.20/1.40 tff(8924,plain,
% 1.20/1.40 ((~(Y!0 = cell11)) | (~(X!1 = cell12))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2569, 8923])).
% 1.20/1.40 tff(8925,plain,
% 1.20/1.40 (~oxygen(cell12)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2195, 8774])).
% 1.20/1.40 tff(8926,plain,
% 1.20/1.40 (~(Y!0 = cell12)),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2217, 8925])).
% 1.20/1.40 tff(8927,plain,
% 1.20/1.40 ((~(Y!0 = cell12)) | (~(X!1 = cell13))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2003, 8926])).
% 1.20/1.40 tff(8928,plain,
% 1.20/1.40 ((cell88 = cell13) <=> (Y!0 = cell13)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(8929,plain,
% 1.20/1.40 ((~(cell88 = cell13)) <=> (~(Y!0 = cell13))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8928])).
% 1.20/1.40 tff(8930,plain,
% 1.20/1.40 (~(Y!0 = cell13)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[921, 8929])).
% 1.20/1.40 tff(8931,plain,
% 1.20/1.40 ((~(Y!0 = cell13)) | (~(X!1 = cell14))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2578, 8930])).
% 1.20/1.40 tff(8932,plain,
% 1.20/1.40 ((cell14 = cell88) <=> (cell14 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(8933,plain,
% 1.20/1.40 ((cell14 = cell88) <=> (Y!0 = cell14)),
% 1.20/1.40 inference(transitivity,[status(thm)],[8932, 1798])).
% 1.20/1.40 tff(8934,plain,
% 1.20/1.40 ((~(cell14 = cell88)) <=> (~(Y!0 = cell14))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8933])).
% 1.20/1.40 tff(8935,plain,
% 1.20/1.40 (~(Y!0 = cell14)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[2318, 8934])).
% 1.20/1.40 tff(8936,plain,
% 1.20/1.40 ((~(Y!0 = cell14)) | (~(X!1 = cell15))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2584, 8935])).
% 1.20/1.40 tff(8937,plain,
% 1.20/1.40 ((cell15 = cell88) <=> (cell15 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(8938,plain,
% 1.20/1.40 ((cell15 = cell88) <=> (Y!0 = cell15)),
% 1.20/1.40 inference(transitivity,[status(thm)],[8937, 2586])).
% 1.20/1.40 tff(8939,plain,
% 1.20/1.40 ((~(cell15 = cell88)) <=> (~(Y!0 = cell15))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8938])).
% 1.20/1.40 tff(8940,plain,
% 1.20/1.40 ((~(cell15 = cell88)) <=> (~(cell15 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(8941,axiom,(~(cell15 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49732')).
% 1.20/1.40 tff(8942,plain,
% 1.20/1.40 (~(cell15 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8941, 8940])).
% 1.20/1.40 tff(8943,plain,
% 1.20/1.40 (~(Y!0 = cell15)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8942, 8939])).
% 1.20/1.40 tff(8944,plain,
% 1.20/1.40 ((~(Y!0 = cell15)) | (~(X!1 = cell16))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2594, 8943])).
% 1.20/1.40 tff(8945,plain,
% 1.20/1.40 ((cell16 = cell88) <=> (cell16 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(8946,plain,
% 1.20/1.40 ((cell16 = cell88) <=> (Y!0 = cell16)),
% 1.20/1.40 inference(transitivity,[status(thm)],[8945, 2596])).
% 1.20/1.40 tff(8947,plain,
% 1.20/1.40 ((~(cell16 = cell88)) <=> (~(Y!0 = cell16))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8946])).
% 1.20/1.40 tff(8948,plain,
% 1.20/1.40 ((~(cell16 = cell88)) <=> (~(cell16 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(8949,axiom,(~(cell16 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49712')).
% 1.20/1.40 tff(8950,plain,
% 1.20/1.40 (~(cell16 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8949, 8948])).
% 1.20/1.40 tff(8951,plain,
% 1.20/1.40 (~(Y!0 = cell16)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8950, 8947])).
% 1.20/1.40 tff(8952,plain,
% 1.20/1.40 ((~(Y!0 = cell16)) | (~(X!1 = cell17))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2604, 8951])).
% 1.20/1.40 tff(8953,plain,
% 1.20/1.40 ((cell17 = cell88) <=> (cell17 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(8954,plain,
% 1.20/1.40 ((cell17 = cell88) <=> (Y!0 = cell17)),
% 1.20/1.40 inference(transitivity,[status(thm)],[8953, 2606])).
% 1.20/1.40 tff(8955,plain,
% 1.20/1.40 ((~(cell17 = cell88)) <=> (~(Y!0 = cell17))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8954])).
% 1.20/1.40 tff(8956,plain,
% 1.20/1.40 ((~(cell17 = cell88)) <=> (~(cell17 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(8957,axiom,(~(cell17 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49691')).
% 1.20/1.40 tff(8958,plain,
% 1.20/1.40 (~(cell17 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8957, 8956])).
% 1.20/1.40 tff(8959,plain,
% 1.20/1.40 (~(Y!0 = cell17)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8958, 8955])).
% 1.20/1.40 tff(8960,plain,
% 1.20/1.40 ((~(Y!0 = cell17)) | (~(X!1 = cell18))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2614, 8959])).
% 1.20/1.40 tff(8961,plain,
% 1.20/1.40 ((cell18 = cell88) <=> (cell18 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(8962,plain,
% 1.20/1.40 ((cell18 = cell88) <=> (Y!0 = cell18)),
% 1.20/1.40 inference(transitivity,[status(thm)],[8961, 2616])).
% 1.20/1.40 tff(8963,plain,
% 1.20/1.40 ((~(cell18 = cell88)) <=> (~(Y!0 = cell18))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8962])).
% 1.20/1.40 tff(8964,plain,
% 1.20/1.40 ((~(cell18 = cell88)) <=> (~(cell18 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(8965,axiom,(~(cell18 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49669')).
% 1.20/1.40 tff(8966,plain,
% 1.20/1.40 (~(cell18 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8965, 8964])).
% 1.20/1.40 tff(8967,plain,
% 1.20/1.40 (~(Y!0 = cell18)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8966, 8963])).
% 1.20/1.40 tff(8968,plain,
% 1.20/1.40 ((~(Y!0 = cell18)) | (~(X!1 = cell19))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2624, 8967])).
% 1.20/1.40 tff(8969,plain,
% 1.20/1.40 ((cell19 = cell88) <=> (cell19 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(8970,plain,
% 1.20/1.40 ((cell19 = cell88) <=> (Y!0 = cell19)),
% 1.20/1.40 inference(transitivity,[status(thm)],[8969, 2626])).
% 1.20/1.40 tff(8971,plain,
% 1.20/1.40 ((~(cell19 = cell88)) <=> (~(Y!0 = cell19))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8970])).
% 1.20/1.40 tff(8972,plain,
% 1.20/1.40 ((~(cell19 = cell88)) <=> (~(cell19 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(8973,axiom,(~(cell19 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49646')).
% 1.20/1.40 tff(8974,plain,
% 1.20/1.40 (~(cell19 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8973, 8972])).
% 1.20/1.40 tff(8975,plain,
% 1.20/1.40 (~(Y!0 = cell19)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8974, 8971])).
% 1.20/1.40 tff(8976,plain,
% 1.20/1.40 ((~(Y!0 = cell19)) | (~(X!1 = cell20))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2634, 8975])).
% 1.20/1.40 tff(8977,plain,
% 1.20/1.40 ((cell88 = cell22) <=> (Y!0 = cell22)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(8978,plain,
% 1.20/1.40 ((~(cell88 = cell22)) <=> (~(Y!0 = cell22))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8977])).
% 1.20/1.40 tff(8979,plain,
% 1.20/1.40 (~(Y!0 = cell22)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[2059, 8978])).
% 1.20/1.40 tff(8980,plain,
% 1.20/1.40 ((~(Y!0 = cell22)) | (~(X!1 = cell23))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2076, 8979])).
% 1.20/1.40 tff(8981,plain,
% 1.20/1.40 ((cell23 = cell88) <=> (cell23 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(8982,plain,
% 1.20/1.40 ((cell23 = cell88) <=> (Y!0 = cell23)),
% 1.20/1.40 inference(transitivity,[status(thm)],[8981, 2357])).
% 1.20/1.40 tff(8983,plain,
% 1.20/1.40 ((~(cell23 = cell88)) <=> (~(Y!0 = cell23))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8982])).
% 1.20/1.40 tff(8984,plain,
% 1.20/1.40 (~(Y!0 = cell23)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[1594, 8983])).
% 1.20/1.40 tff(8985,plain,
% 1.20/1.40 ((~(Y!0 = cell23)) | (~(X!1 = cell24))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2653, 8984])).
% 1.20/1.40 tff(8986,plain,
% 1.20/1.40 ((cell24 = cell88) <=> (cell24 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(8987,plain,
% 1.20/1.40 ((cell24 = cell88) <=> (Y!0 = cell24)),
% 1.20/1.40 inference(transitivity,[status(thm)],[8986, 2655])).
% 1.20/1.40 tff(8988,plain,
% 1.20/1.40 ((~(cell24 = cell88)) <=> (~(Y!0 = cell24))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8987])).
% 1.20/1.40 tff(8989,plain,
% 1.20/1.40 ((~(cell24 = cell88)) <=> (~(cell24 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(8990,axiom,(~(cell24 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49544')).
% 1.20/1.40 tff(8991,plain,
% 1.20/1.40 (~(cell24 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8990, 8989])).
% 1.20/1.40 tff(8992,plain,
% 1.20/1.40 (~(Y!0 = cell24)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8991, 8988])).
% 1.20/1.40 tff(8993,plain,
% 1.20/1.40 ((~(Y!0 = cell24)) | (~(X!1 = cell25))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2663, 8992])).
% 1.20/1.40 tff(8994,plain,
% 1.20/1.40 ((cell25 = cell88) <=> (cell25 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(8995,plain,
% 1.20/1.40 ((cell25 = cell88) <=> (Y!0 = cell25)),
% 1.20/1.40 inference(transitivity,[status(thm)],[8994, 2665])).
% 1.20/1.40 tff(8996,plain,
% 1.20/1.40 ((~(cell25 = cell88)) <=> (~(Y!0 = cell25))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8995])).
% 1.20/1.40 tff(8997,plain,
% 1.20/1.40 ((~(cell25 = cell88)) <=> (~(cell25 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(8998,axiom,(~(cell25 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49516')).
% 1.20/1.40 tff(8999,plain,
% 1.20/1.40 (~(cell25 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8998, 8997])).
% 1.20/1.40 tff(9000,plain,
% 1.20/1.40 (~(Y!0 = cell25)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[8999, 8996])).
% 1.20/1.40 tff(9001,plain,
% 1.20/1.40 ((~(Y!0 = cell25)) | (~(X!1 = cell26))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2673, 9000])).
% 1.20/1.40 tff(9002,plain,
% 1.20/1.40 ((cell26 = cell88) <=> (cell26 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9003,plain,
% 1.20/1.40 ((cell26 = cell88) <=> (Y!0 = cell26)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9002, 2675])).
% 1.20/1.40 tff(9004,plain,
% 1.20/1.40 ((~(cell26 = cell88)) <=> (~(Y!0 = cell26))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9003])).
% 1.20/1.40 tff(9005,plain,
% 1.20/1.40 ((~(cell26 = cell88)) <=> (~(cell26 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9006,axiom,(~(cell26 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49487')).
% 1.20/1.40 tff(9007,plain,
% 1.20/1.40 (~(cell26 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9006, 9005])).
% 1.20/1.40 tff(9008,plain,
% 1.20/1.40 (~(Y!0 = cell26)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9007, 9004])).
% 1.20/1.40 tff(9009,plain,
% 1.20/1.40 ((~(Y!0 = cell26)) | (~(X!1 = cell27))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2683, 9008])).
% 1.20/1.40 tff(9010,plain,
% 1.20/1.40 ((cell27 = cell88) <=> (cell27 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9011,plain,
% 1.20/1.40 ((cell27 = cell88) <=> (Y!0 = cell27)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9010, 2685])).
% 1.20/1.40 tff(9012,plain,
% 1.20/1.40 ((~(cell27 = cell88)) <=> (~(Y!0 = cell27))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9011])).
% 1.20/1.40 tff(9013,plain,
% 1.20/1.40 ((~(cell27 = cell88)) <=> (~(cell27 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9014,axiom,(~(cell27 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49457')).
% 1.20/1.40 tff(9015,plain,
% 1.20/1.40 (~(cell27 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9014, 9013])).
% 1.20/1.40 tff(9016,plain,
% 1.20/1.40 (~(Y!0 = cell27)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9015, 9012])).
% 1.20/1.40 tff(9017,plain,
% 1.20/1.40 ((~(Y!0 = cell27)) | (~(X!1 = cell28))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2693, 9016])).
% 1.20/1.40 tff(9018,plain,
% 1.20/1.40 ((cell28 = cell88) <=> (cell28 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9019,plain,
% 1.20/1.40 ((cell28 = cell88) <=> (Y!0 = cell28)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9018, 2695])).
% 1.20/1.40 tff(9020,plain,
% 1.20/1.40 ((~(cell28 = cell88)) <=> (~(Y!0 = cell28))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9019])).
% 1.20/1.40 tff(9021,plain,
% 1.20/1.40 ((~(cell28 = cell88)) <=> (~(cell28 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9022,axiom,(~(cell28 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49426')).
% 1.20/1.40 tff(9023,plain,
% 1.20/1.40 (~(cell28 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9022, 9021])).
% 1.20/1.40 tff(9024,plain,
% 1.20/1.40 (~(Y!0 = cell28)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9023, 9020])).
% 1.20/1.40 tff(9025,plain,
% 1.20/1.40 ((~(Y!0 = cell28)) | (~(X!1 = cell29))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2703, 9024])).
% 1.20/1.40 tff(9026,plain,
% 1.20/1.40 ((cell29 = cell88) <=> (cell29 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9027,plain,
% 1.20/1.40 ((cell29 = cell88) <=> (Y!0 = cell29)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9026, 2705])).
% 1.20/1.40 tff(9028,plain,
% 1.20/1.40 ((~(cell29 = cell88)) <=> (~(Y!0 = cell29))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9027])).
% 1.20/1.40 tff(9029,plain,
% 1.20/1.40 ((~(cell29 = cell88)) <=> (~(cell29 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9030,axiom,(~(cell29 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49394')).
% 1.20/1.40 tff(9031,plain,
% 1.20/1.40 (~(cell29 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9030, 9029])).
% 1.20/1.40 tff(9032,plain,
% 1.20/1.40 (~(Y!0 = cell29)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9031, 9028])).
% 1.20/1.40 tff(9033,plain,
% 1.20/1.40 ((~(Y!0 = cell29)) | (~(X!1 = cell30))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2713, 9032])).
% 1.20/1.40 tff(9034,plain,
% 1.20/1.40 ((cell31 = cell88) <=> (cell31 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9035,plain,
% 1.20/1.40 ((cell31 = cell88) <=> (Y!0 = cell31)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9034, 2715])).
% 1.20/1.40 tff(9036,plain,
% 1.20/1.40 ((~(cell31 = cell88)) <=> (~(Y!0 = cell31))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9035])).
% 1.20/1.40 tff(9037,plain,
% 1.20/1.40 ((~(cell31 = cell88)) <=> (~(cell31 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9038,axiom,(~(cell31 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49292')).
% 1.20/1.40 tff(9039,plain,
% 1.20/1.40 (~(cell31 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9038, 9037])).
% 1.20/1.40 tff(9040,plain,
% 1.20/1.40 (~(Y!0 = cell31)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9039, 9036])).
% 1.20/1.40 tff(9041,plain,
% 1.20/1.40 ((~(Y!0 = cell31)) | (~(X!1 = cell32))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2723, 9040])).
% 1.20/1.40 tff(9042,plain,
% 1.20/1.40 ((cell32 = cell88) <=> (cell32 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9043,plain,
% 1.20/1.40 ((cell32 = cell88) <=> (Y!0 = cell32)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9042, 2725])).
% 1.20/1.40 tff(9044,plain,
% 1.20/1.40 ((~(cell32 = cell88)) <=> (~(Y!0 = cell32))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9043])).
% 1.20/1.40 tff(9045,plain,
% 1.20/1.40 ((~(cell32 = cell88)) <=> (~(cell32 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9046,axiom,(~(cell32 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49327')).
% 1.20/1.40 tff(9047,plain,
% 1.20/1.40 (~(cell32 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9046, 9045])).
% 1.20/1.40 tff(9048,plain,
% 1.20/1.40 (~(Y!0 = cell32)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9047, 9044])).
% 1.20/1.40 tff(9049,plain,
% 1.20/1.40 ((~(Y!0 = cell32)) | (~(X!1 = cell33))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2733, 9048])).
% 1.20/1.40 tff(9050,plain,
% 1.20/1.40 ((cell33 = cell88) <=> (cell33 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9051,plain,
% 1.20/1.40 ((cell33 = cell88) <=> (Y!0 = cell33)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9050, 2735])).
% 1.20/1.40 tff(9052,plain,
% 1.20/1.40 ((~(cell33 = cell88)) <=> (~(Y!0 = cell33))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9051])).
% 1.20/1.40 tff(9053,plain,
% 1.20/1.40 ((~(cell33 = cell88)) <=> (~(cell33 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9054,axiom,(~(cell33 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49256')).
% 1.20/1.40 tff(9055,plain,
% 1.20/1.40 (~(cell33 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9054, 9053])).
% 1.20/1.40 tff(9056,plain,
% 1.20/1.40 (~(Y!0 = cell33)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9055, 9052])).
% 1.20/1.40 tff(9057,plain,
% 1.20/1.40 ((~(Y!0 = cell33)) | (~(X!1 = cell34))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2743, 9056])).
% 1.20/1.40 tff(9058,plain,
% 1.20/1.40 ((cell34 = cell88) <=> (cell34 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9059,plain,
% 1.20/1.40 ((cell34 = cell88) <=> (Y!0 = cell34)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9058, 2745])).
% 1.20/1.40 tff(9060,plain,
% 1.20/1.40 ((~(cell34 = cell88)) <=> (~(Y!0 = cell34))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9059])).
% 1.20/1.40 tff(9061,plain,
% 1.20/1.40 ((~(cell34 = cell88)) <=> (~(cell34 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9062,axiom,(~(cell34 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49219')).
% 1.20/1.40 tff(9063,plain,
% 1.20/1.40 (~(cell34 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9062, 9061])).
% 1.20/1.40 tff(9064,plain,
% 1.20/1.40 (~(Y!0 = cell34)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9063, 9060])).
% 1.20/1.40 tff(9065,plain,
% 1.20/1.40 ((~(Y!0 = cell34)) | (~(X!1 = cell35))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2753, 9064])).
% 1.20/1.40 tff(9066,plain,
% 1.20/1.40 ((cell35 = cell88) <=> (cell35 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9067,plain,
% 1.20/1.40 ((cell35 = cell88) <=> (Y!0 = cell35)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9066, 2755])).
% 1.20/1.40 tff(9068,plain,
% 1.20/1.40 ((~(cell35 = cell88)) <=> (~(Y!0 = cell35))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9067])).
% 1.20/1.40 tff(9069,plain,
% 1.20/1.40 ((~(cell35 = cell88)) <=> (~(cell35 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9070,axiom,(~(cell35 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49181')).
% 1.20/1.40 tff(9071,plain,
% 1.20/1.40 (~(cell35 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9070, 9069])).
% 1.20/1.40 tff(9072,plain,
% 1.20/1.40 (~(Y!0 = cell35)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9071, 9068])).
% 1.20/1.40 tff(9073,plain,
% 1.20/1.40 ((~(Y!0 = cell35)) | (~(X!1 = cell36))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2763, 9072])).
% 1.20/1.40 tff(9074,plain,
% 1.20/1.40 ((cell36 = cell88) <=> (cell36 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9075,plain,
% 1.20/1.40 ((cell36 = cell88) <=> (Y!0 = cell36)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9074, 2765])).
% 1.20/1.40 tff(9076,plain,
% 1.20/1.40 ((~(cell36 = cell88)) <=> (~(Y!0 = cell36))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9075])).
% 1.20/1.40 tff(9077,plain,
% 1.20/1.40 ((~(cell36 = cell88)) <=> (~(cell36 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9078,axiom,(~(cell36 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49142')).
% 1.20/1.40 tff(9079,plain,
% 1.20/1.40 (~(cell36 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9078, 9077])).
% 1.20/1.40 tff(9080,plain,
% 1.20/1.40 (~(Y!0 = cell36)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9079, 9076])).
% 1.20/1.40 tff(9081,plain,
% 1.20/1.40 ((~(Y!0 = cell36)) | (~(X!1 = cell37))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2773, 9080])).
% 1.20/1.40 tff(9082,plain,
% 1.20/1.40 ((cell37 = cell88) <=> (cell37 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9083,plain,
% 1.20/1.40 ((cell37 = cell88) <=> (Y!0 = cell37)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9082, 2775])).
% 1.20/1.40 tff(9084,plain,
% 1.20/1.40 ((~(cell37 = cell88)) <=> (~(Y!0 = cell37))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9083])).
% 1.20/1.40 tff(9085,plain,
% 1.20/1.40 ((~(cell37 = cell88)) <=> (~(cell37 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9086,axiom,(~(cell37 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49102')).
% 1.20/1.40 tff(9087,plain,
% 1.20/1.40 (~(cell37 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9086, 9085])).
% 1.20/1.40 tff(9088,plain,
% 1.20/1.40 (~(Y!0 = cell37)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9087, 9084])).
% 1.20/1.40 tff(9089,plain,
% 1.20/1.40 ((~(Y!0 = cell37)) | (~(X!1 = cell38))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2783, 9088])).
% 1.20/1.40 tff(9090,plain,
% 1.20/1.40 ((cell38 = cell88) <=> (cell38 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9091,plain,
% 1.20/1.40 ((cell38 = cell88) <=> (Y!0 = cell38)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9090, 2785])).
% 1.20/1.40 tff(9092,plain,
% 1.20/1.40 ((~(cell38 = cell88)) <=> (~(Y!0 = cell38))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9091])).
% 1.20/1.40 tff(9093,plain,
% 1.20/1.40 ((~(cell38 = cell88)) <=> (~(cell38 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9094,axiom,(~(cell38 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49061')).
% 1.20/1.40 tff(9095,plain,
% 1.20/1.40 (~(cell38 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9094, 9093])).
% 1.20/1.40 tff(9096,plain,
% 1.20/1.40 (~(Y!0 = cell38)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9095, 9092])).
% 1.20/1.40 tff(9097,plain,
% 1.20/1.40 ((~(Y!0 = cell38)) | (~(X!1 = cell39))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2793, 9096])).
% 1.20/1.40 tff(9098,plain,
% 1.20/1.40 ((cell39 = cell88) <=> (cell39 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9099,plain,
% 1.20/1.40 ((cell39 = cell88) <=> (Y!0 = cell39)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9098, 2795])).
% 1.20/1.40 tff(9100,plain,
% 1.20/1.40 ((~(cell39 = cell88)) <=> (~(Y!0 = cell39))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9099])).
% 1.20/1.40 tff(9101,plain,
% 1.20/1.40 ((~(cell39 = cell88)) <=> (~(cell39 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9102,axiom,(~(cell39 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49019')).
% 1.20/1.40 tff(9103,plain,
% 1.20/1.40 (~(cell39 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9102, 9101])).
% 1.20/1.40 tff(9104,plain,
% 1.20/1.40 (~(Y!0 = cell39)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9103, 9100])).
% 1.20/1.40 tff(9105,plain,
% 1.20/1.40 ((~(Y!0 = cell39)) | (~(X!1 = cell40))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2803, 9104])).
% 1.20/1.40 tff(9106,plain,
% 1.20/1.40 ((cell41 = cell88) <=> (cell41 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9107,plain,
% 1.20/1.40 ((cell41 = cell88) <=> (Y!0 = cell41)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9106, 2805])).
% 1.20/1.40 tff(9108,plain,
% 1.20/1.40 ((~(cell41 = cell88)) <=> (~(Y!0 = cell41))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9107])).
% 1.20/1.40 tff(9109,plain,
% 1.20/1.40 ((~(cell41 = cell88)) <=> (~(cell41 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9110,axiom,(~(cell41 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48887')).
% 1.20/1.40 tff(9111,plain,
% 1.20/1.40 (~(cell41 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9110, 9109])).
% 1.20/1.40 tff(9112,plain,
% 1.20/1.40 (~(Y!0 = cell41)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9111, 9108])).
% 1.20/1.40 tff(9113,plain,
% 1.20/1.40 ((~(Y!0 = cell41)) | (~(X!1 = cell42))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2813, 9112])).
% 1.20/1.40 tff(9114,plain,
% 1.20/1.40 ((cell42 = cell88) <=> (cell42 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9115,plain,
% 1.20/1.40 ((cell42 = cell88) <=> (Y!0 = cell42)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9114, 2815])).
% 1.20/1.40 tff(9116,plain,
% 1.20/1.40 ((~(cell42 = cell88)) <=> (~(Y!0 = cell42))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9115])).
% 1.20/1.40 tff(9117,plain,
% 1.20/1.40 ((~(cell42 = cell88)) <=> (~(cell42 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9118,axiom,(~(cell42 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48932')).
% 1.20/1.40 tff(9119,plain,
% 1.20/1.40 (~(cell42 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9118, 9117])).
% 1.20/1.40 tff(9120,plain,
% 1.20/1.40 (~(Y!0 = cell42)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9119, 9116])).
% 1.20/1.40 tff(9121,plain,
% 1.20/1.40 ((~(Y!0 = cell42)) | (~(X!1 = cell43))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2823, 9120])).
% 1.20/1.40 tff(9122,plain,
% 1.20/1.40 ((cell43 = cell88) <=> (cell43 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9123,plain,
% 1.20/1.40 ((cell43 = cell88) <=> (Y!0 = cell43)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9122, 2825])).
% 1.20/1.40 tff(9124,plain,
% 1.20/1.40 ((~(cell43 = cell88)) <=> (~(Y!0 = cell43))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9123])).
% 1.20/1.40 tff(9125,plain,
% 1.20/1.40 ((~(cell43 = cell88)) <=> (~(cell43 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9126,axiom,(~(cell43 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48841')).
% 1.20/1.40 tff(9127,plain,
% 1.20/1.40 (~(cell43 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9126, 9125])).
% 1.20/1.40 tff(9128,plain,
% 1.20/1.40 (~(Y!0 = cell43)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9127, 9124])).
% 1.20/1.40 tff(9129,plain,
% 1.20/1.40 ((~(Y!0 = cell43)) | (~(X!1 = cell44))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2833, 9128])).
% 1.20/1.40 tff(9130,plain,
% 1.20/1.40 ((cell44 = cell88) <=> (cell44 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9131,plain,
% 1.20/1.40 ((cell44 = cell88) <=> (Y!0 = cell44)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9130, 2835])).
% 1.20/1.40 tff(9132,plain,
% 1.20/1.40 ((~(cell44 = cell88)) <=> (~(Y!0 = cell44))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9131])).
% 1.20/1.40 tff(9133,plain,
% 1.20/1.40 ((~(cell44 = cell88)) <=> (~(cell44 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9134,axiom,(~(cell44 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48794')).
% 1.20/1.40 tff(9135,plain,
% 1.20/1.40 (~(cell44 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9134, 9133])).
% 1.20/1.40 tff(9136,plain,
% 1.20/1.40 (~(Y!0 = cell44)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9135, 9132])).
% 1.20/1.40 tff(9137,plain,
% 1.20/1.40 ((~(Y!0 = cell44)) | (~(X!1 = cell45))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2843, 9136])).
% 1.20/1.40 tff(9138,plain,
% 1.20/1.40 ((cell45 = cell88) <=> (cell45 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9139,plain,
% 1.20/1.40 ((cell45 = cell88) <=> (Y!0 = cell45)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9138, 2845])).
% 1.20/1.40 tff(9140,plain,
% 1.20/1.40 ((~(cell45 = cell88)) <=> (~(Y!0 = cell45))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9139])).
% 1.20/1.40 tff(9141,plain,
% 1.20/1.40 ((~(cell45 = cell88)) <=> (~(cell45 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9142,axiom,(~(cell45 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48746')).
% 1.20/1.40 tff(9143,plain,
% 1.20/1.40 (~(cell45 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9142, 9141])).
% 1.20/1.40 tff(9144,plain,
% 1.20/1.40 (~(Y!0 = cell45)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9143, 9140])).
% 1.20/1.40 tff(9145,plain,
% 1.20/1.40 ((~(Y!0 = cell45)) | (~(X!1 = cell46))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2853, 9144])).
% 1.20/1.40 tff(9146,plain,
% 1.20/1.40 ((cell46 = cell88) <=> (cell46 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9147,plain,
% 1.20/1.40 ((cell46 = cell88) <=> (Y!0 = cell46)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9146, 2855])).
% 1.20/1.40 tff(9148,plain,
% 1.20/1.40 ((~(cell46 = cell88)) <=> (~(Y!0 = cell46))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9147])).
% 1.20/1.40 tff(9149,plain,
% 1.20/1.40 ((~(cell46 = cell88)) <=> (~(cell46 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9150,axiom,(~(cell46 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48697')).
% 1.20/1.40 tff(9151,plain,
% 1.20/1.40 (~(cell46 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9150, 9149])).
% 1.20/1.40 tff(9152,plain,
% 1.20/1.40 (~(Y!0 = cell46)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9151, 9148])).
% 1.20/1.40 tff(9153,plain,
% 1.20/1.40 ((~(Y!0 = cell46)) | (~(X!1 = cell47))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2863, 9152])).
% 1.20/1.40 tff(9154,plain,
% 1.20/1.40 ((cell47 = cell88) <=> (cell47 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9155,plain,
% 1.20/1.40 ((cell47 = cell88) <=> (Y!0 = cell47)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9154, 2865])).
% 1.20/1.40 tff(9156,plain,
% 1.20/1.40 ((~(cell47 = cell88)) <=> (~(Y!0 = cell47))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9155])).
% 1.20/1.40 tff(9157,plain,
% 1.20/1.40 ((~(cell47 = cell88)) <=> (~(cell47 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9158,axiom,(~(cell47 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48647')).
% 1.20/1.40 tff(9159,plain,
% 1.20/1.40 (~(cell47 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9158, 9157])).
% 1.20/1.40 tff(9160,plain,
% 1.20/1.40 (~(Y!0 = cell47)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9159, 9156])).
% 1.20/1.40 tff(9161,plain,
% 1.20/1.40 ((~(Y!0 = cell47)) | (~(X!1 = cell48))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2873, 9160])).
% 1.20/1.40 tff(9162,plain,
% 1.20/1.40 ((cell48 = cell88) <=> (cell48 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9163,plain,
% 1.20/1.40 ((cell48 = cell88) <=> (Y!0 = cell48)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9162, 2875])).
% 1.20/1.40 tff(9164,plain,
% 1.20/1.40 ((~(cell48 = cell88)) <=> (~(Y!0 = cell48))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9163])).
% 1.20/1.40 tff(9165,plain,
% 1.20/1.40 ((~(cell48 = cell88)) <=> (~(cell48 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9166,axiom,(~(cell48 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48596')).
% 1.20/1.40 tff(9167,plain,
% 1.20/1.40 (~(cell48 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9166, 9165])).
% 1.20/1.40 tff(9168,plain,
% 1.20/1.40 (~(Y!0 = cell48)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9167, 9164])).
% 1.20/1.40 tff(9169,plain,
% 1.20/1.40 ((~(Y!0 = cell48)) | (~(X!1 = cell49))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2883, 9168])).
% 1.20/1.40 tff(9170,plain,
% 1.20/1.40 ((cell49 = cell88) <=> (cell49 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9171,plain,
% 1.20/1.40 ((cell49 = cell88) <=> (Y!0 = cell49)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9170, 2885])).
% 1.20/1.40 tff(9172,plain,
% 1.20/1.40 ((~(cell49 = cell88)) <=> (~(Y!0 = cell49))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9171])).
% 1.20/1.40 tff(9173,plain,
% 1.20/1.40 ((~(cell49 = cell88)) <=> (~(cell49 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9174,axiom,(~(cell49 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48544')).
% 1.20/1.40 tff(9175,plain,
% 1.20/1.40 (~(cell49 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9174, 9173])).
% 1.20/1.40 tff(9176,plain,
% 1.20/1.40 (~(Y!0 = cell49)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9175, 9172])).
% 1.20/1.40 tff(9177,plain,
% 1.20/1.40 ((~(Y!0 = cell49)) | (~(X!1 = cell50))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2893, 9176])).
% 1.20/1.40 tff(9178,plain,
% 1.20/1.40 ((cell51 = cell88) <=> (cell51 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9179,plain,
% 1.20/1.40 ((cell51 = cell88) <=> (Y!0 = cell51)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9178, 2895])).
% 1.20/1.40 tff(9180,plain,
% 1.20/1.40 ((~(cell51 = cell88)) <=> (~(Y!0 = cell51))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9179])).
% 1.20/1.40 tff(9181,plain,
% 1.20/1.40 ((~(cell51 = cell88)) <=> (~(cell51 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9182,axiom,(~(cell51 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48382')).
% 1.20/1.40 tff(9183,plain,
% 1.20/1.40 (~(cell51 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9182, 9181])).
% 1.20/1.40 tff(9184,plain,
% 1.20/1.40 (~(Y!0 = cell51)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9183, 9180])).
% 1.20/1.40 tff(9185,plain,
% 1.20/1.40 ((~(Y!0 = cell51)) | (~(X!1 = cell52))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2903, 9184])).
% 1.20/1.40 tff(9186,plain,
% 1.20/1.40 ((cell52 = cell88) <=> (cell52 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9187,plain,
% 1.20/1.40 ((cell52 = cell88) <=> (Y!0 = cell52)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9186, 2905])).
% 1.20/1.40 tff(9188,plain,
% 1.20/1.40 ((~(cell52 = cell88)) <=> (~(Y!0 = cell52))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9187])).
% 1.20/1.40 tff(9189,plain,
% 1.20/1.40 ((~(cell52 = cell88)) <=> (~(cell52 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9190,axiom,(~(cell52 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48437')).
% 1.20/1.40 tff(9191,plain,
% 1.20/1.40 (~(cell52 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9190, 9189])).
% 1.20/1.40 tff(9192,plain,
% 1.20/1.40 (~(Y!0 = cell52)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9191, 9188])).
% 1.20/1.40 tff(9193,plain,
% 1.20/1.40 ((~(Y!0 = cell52)) | (~(X!1 = cell53))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2913, 9192])).
% 1.20/1.40 tff(9194,plain,
% 1.20/1.40 ((cell53 = cell88) <=> (cell53 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9195,plain,
% 1.20/1.40 ((cell53 = cell88) <=> (Y!0 = cell53)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9194, 2915])).
% 1.20/1.40 tff(9196,plain,
% 1.20/1.40 ((~(cell53 = cell88)) <=> (~(Y!0 = cell53))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9195])).
% 1.20/1.40 tff(9197,plain,
% 1.20/1.40 ((~(cell53 = cell88)) <=> (~(cell53 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9198,axiom,(~(cell53 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48326')).
% 1.20/1.40 tff(9199,plain,
% 1.20/1.40 (~(cell53 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9198, 9197])).
% 1.20/1.40 tff(9200,plain,
% 1.20/1.40 (~(Y!0 = cell53)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9199, 9196])).
% 1.20/1.40 tff(9201,plain,
% 1.20/1.40 ((~(Y!0 = cell53)) | (~(X!1 = cell54))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2923, 9200])).
% 1.20/1.40 tff(9202,plain,
% 1.20/1.40 ((cell54 = cell88) <=> (cell54 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9203,plain,
% 1.20/1.40 ((cell54 = cell88) <=> (Y!0 = cell54)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9202, 2925])).
% 1.20/1.40 tff(9204,plain,
% 1.20/1.40 ((~(cell54 = cell88)) <=> (~(Y!0 = cell54))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9203])).
% 1.20/1.40 tff(9205,plain,
% 1.20/1.40 ((~(cell54 = cell88)) <=> (~(cell54 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9206,axiom,(~(cell54 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48269')).
% 1.20/1.40 tff(9207,plain,
% 1.20/1.40 (~(cell54 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9206, 9205])).
% 1.20/1.40 tff(9208,plain,
% 1.20/1.40 (~(Y!0 = cell54)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9207, 9204])).
% 1.20/1.40 tff(9209,plain,
% 1.20/1.40 ((~(Y!0 = cell54)) | (~(X!1 = cell55))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2933, 9208])).
% 1.20/1.40 tff(9210,plain,
% 1.20/1.40 ((cell55 = cell88) <=> (cell55 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9211,plain,
% 1.20/1.40 ((cell55 = cell88) <=> (Y!0 = cell55)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9210, 2935])).
% 1.20/1.40 tff(9212,plain,
% 1.20/1.40 ((~(cell55 = cell88)) <=> (~(Y!0 = cell55))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9211])).
% 1.20/1.40 tff(9213,plain,
% 1.20/1.40 ((~(cell55 = cell88)) <=> (~(cell55 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9214,axiom,(~(cell55 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48211')).
% 1.20/1.40 tff(9215,plain,
% 1.20/1.40 (~(cell55 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9214, 9213])).
% 1.20/1.40 tff(9216,plain,
% 1.20/1.40 (~(Y!0 = cell55)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9215, 9212])).
% 1.20/1.40 tff(9217,plain,
% 1.20/1.40 ((~(Y!0 = cell55)) | (~(X!1 = cell56))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2943, 9216])).
% 1.20/1.40 tff(9218,plain,
% 1.20/1.40 ((cell56 = cell88) <=> (cell56 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9219,plain,
% 1.20/1.40 ((cell56 = cell88) <=> (Y!0 = cell56)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9218, 2945])).
% 1.20/1.40 tff(9220,plain,
% 1.20/1.40 ((~(cell56 = cell88)) <=> (~(Y!0 = cell56))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9219])).
% 1.20/1.40 tff(9221,plain,
% 1.20/1.40 ((~(cell56 = cell88)) <=> (~(cell56 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9222,axiom,(~(cell56 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48152')).
% 1.20/1.40 tff(9223,plain,
% 1.20/1.40 (~(cell56 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9222, 9221])).
% 1.20/1.40 tff(9224,plain,
% 1.20/1.40 (~(Y!0 = cell56)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9223, 9220])).
% 1.20/1.40 tff(9225,plain,
% 1.20/1.40 ((~(Y!0 = cell56)) | (~(X!1 = cell57))),
% 1.20/1.40 inference(unit_resolution,[status(thm)],[2953, 9224])).
% 1.20/1.40 tff(9226,plain,
% 1.20/1.40 ((cell57 = cell88) <=> (cell57 = Y!0)),
% 1.20/1.40 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.40 tff(9227,plain,
% 1.20/1.40 ((cell57 = cell88) <=> (Y!0 = cell57)),
% 1.20/1.40 inference(transitivity,[status(thm)],[9226, 2955])).
% 1.20/1.40 tff(9228,plain,
% 1.20/1.40 ((~(cell57 = cell88)) <=> (~(Y!0 = cell57))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[9227])).
% 1.20/1.40 tff(9229,plain,
% 1.20/1.40 ((~(cell57 = cell88)) <=> (~(cell57 = cell88))),
% 1.20/1.40 inference(rewrite,[status(thm)],[])).
% 1.20/1.40 tff(9230,axiom,(~(cell57 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48092')).
% 1.20/1.40 tff(9231,plain,
% 1.20/1.40 (~(cell57 = cell88)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9230, 9229])).
% 1.20/1.40 tff(9232,plain,
% 1.20/1.40 (~(Y!0 = cell57)),
% 1.20/1.40 inference(modus_ponens,[status(thm)],[9231, 9228])).
% 1.20/1.41 tff(9233,plain,
% 1.20/1.41 ((~(Y!0 = cell57)) | (~(X!1 = cell58))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[2963, 9232])).
% 1.20/1.41 tff(9234,plain,
% 1.20/1.41 ((cell58 = cell88) <=> (cell58 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9235,plain,
% 1.20/1.41 ((cell58 = cell88) <=> (Y!0 = cell58)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9234, 2965])).
% 1.20/1.41 tff(9236,plain,
% 1.20/1.41 ((~(cell58 = cell88)) <=> (~(Y!0 = cell58))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9235])).
% 1.20/1.41 tff(9237,plain,
% 1.20/1.41 ((~(cell58 = cell88)) <=> (~(cell58 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9238,axiom,(~(cell58 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48031')).
% 1.20/1.41 tff(9239,plain,
% 1.20/1.41 (~(cell58 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9238, 9237])).
% 1.20/1.41 tff(9240,plain,
% 1.20/1.41 (~(Y!0 = cell58)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9239, 9236])).
% 1.20/1.41 tff(9241,plain,
% 1.20/1.41 ((~(Y!0 = cell58)) | (~(X!1 = cell59))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[2973, 9240])).
% 1.20/1.41 tff(9242,plain,
% 1.20/1.41 ((cell59 = cell88) <=> (cell59 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9243,plain,
% 1.20/1.41 ((cell59 = cell88) <=> (Y!0 = cell59)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9242, 2975])).
% 1.20/1.41 tff(9244,plain,
% 1.20/1.41 ((~(cell59 = cell88)) <=> (~(Y!0 = cell59))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9243])).
% 1.20/1.41 tff(9245,plain,
% 1.20/1.41 ((~(cell59 = cell88)) <=> (~(cell59 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9246,axiom,(~(cell59 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47969')).
% 1.20/1.41 tff(9247,plain,
% 1.20/1.41 (~(cell59 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9246, 9245])).
% 1.20/1.41 tff(9248,plain,
% 1.20/1.41 (~(Y!0 = cell59)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9247, 9244])).
% 1.20/1.41 tff(9249,plain,
% 1.20/1.41 ((~(Y!0 = cell59)) | (~(X!1 = cell60))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[2983, 9248])).
% 1.20/1.41 tff(9250,plain,
% 1.20/1.41 ((cell61 = cell88) <=> (cell61 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9251,plain,
% 1.20/1.41 ((cell61 = cell88) <=> (Y!0 = cell61)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9250, 2985])).
% 1.20/1.41 tff(9252,plain,
% 1.20/1.41 ((~(cell61 = cell88)) <=> (~(Y!0 = cell61))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9251])).
% 1.20/1.41 tff(9253,plain,
% 1.20/1.41 ((~(cell61 = cell88)) <=> (~(cell61 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9254,axiom,(~(cell61 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47777')).
% 1.20/1.41 tff(9255,plain,
% 1.20/1.41 (~(cell61 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9254, 9253])).
% 1.20/1.41 tff(9256,plain,
% 1.20/1.41 (~(Y!0 = cell61)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9255, 9252])).
% 1.20/1.41 tff(9257,plain,
% 1.20/1.41 ((~(Y!0 = cell61)) | (~(X!1 = cell62))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[2993, 9256])).
% 1.20/1.41 tff(9258,plain,
% 1.20/1.41 ((cell62 = cell88) <=> (cell62 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9259,plain,
% 1.20/1.41 ((cell62 = cell88) <=> (Y!0 = cell62)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9258, 2995])).
% 1.20/1.41 tff(9260,plain,
% 1.20/1.41 ((~(cell62 = cell88)) <=> (~(Y!0 = cell62))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9259])).
% 1.20/1.41 tff(9261,plain,
% 1.20/1.41 ((~(cell62 = cell88)) <=> (~(cell62 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9262,axiom,(~(cell62 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47842')).
% 1.20/1.41 tff(9263,plain,
% 1.20/1.41 (~(cell62 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9262, 9261])).
% 1.20/1.41 tff(9264,plain,
% 1.20/1.41 (~(Y!0 = cell62)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9263, 9260])).
% 1.20/1.41 tff(9265,plain,
% 1.20/1.41 ((~(Y!0 = cell62)) | (~(X!1 = cell63))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3003, 9264])).
% 1.20/1.41 tff(9266,plain,
% 1.20/1.41 ((cell63 = cell88) <=> (cell63 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9267,plain,
% 1.20/1.41 ((cell63 = cell88) <=> (Y!0 = cell63)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9266, 3005])).
% 1.20/1.41 tff(9268,plain,
% 1.20/1.41 ((~(cell63 = cell88)) <=> (~(Y!0 = cell63))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9267])).
% 1.20/1.41 tff(9269,plain,
% 1.20/1.41 ((~(cell63 = cell88)) <=> (~(cell63 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9270,axiom,(~(cell63 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47711')).
% 1.20/1.41 tff(9271,plain,
% 1.20/1.41 (~(cell63 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9270, 9269])).
% 1.20/1.41 tff(9272,plain,
% 1.20/1.41 (~(Y!0 = cell63)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9271, 9268])).
% 1.20/1.41 tff(9273,plain,
% 1.20/1.41 ((~(Y!0 = cell63)) | (~(X!1 = cell64))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3013, 9272])).
% 1.20/1.41 tff(9274,plain,
% 1.20/1.41 ((cell64 = cell88) <=> (cell64 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9275,plain,
% 1.20/1.41 ((cell64 = cell88) <=> (Y!0 = cell64)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9274, 3015])).
% 1.20/1.41 tff(9276,plain,
% 1.20/1.41 ((~(cell64 = cell88)) <=> (~(Y!0 = cell64))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9275])).
% 1.20/1.41 tff(9277,plain,
% 1.20/1.41 ((~(cell64 = cell88)) <=> (~(cell64 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9278,axiom,(~(cell64 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47644')).
% 1.20/1.41 tff(9279,plain,
% 1.20/1.41 (~(cell64 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9278, 9277])).
% 1.20/1.41 tff(9280,plain,
% 1.20/1.41 (~(Y!0 = cell64)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9279, 9276])).
% 1.20/1.41 tff(9281,plain,
% 1.20/1.41 ((~(Y!0 = cell64)) | (~(X!1 = cell65))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3023, 9280])).
% 1.20/1.41 tff(9282,plain,
% 1.20/1.41 ((cell65 = cell88) <=> (cell65 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9283,plain,
% 1.20/1.41 ((cell65 = cell88) <=> (Y!0 = cell65)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9282, 3025])).
% 1.20/1.41 tff(9284,plain,
% 1.20/1.41 ((~(cell65 = cell88)) <=> (~(Y!0 = cell65))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9283])).
% 1.20/1.41 tff(9285,plain,
% 1.20/1.41 ((~(cell65 = cell88)) <=> (~(cell65 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9286,axiom,(~(cell65 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47576')).
% 1.20/1.41 tff(9287,plain,
% 1.20/1.41 (~(cell65 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9286, 9285])).
% 1.20/1.41 tff(9288,plain,
% 1.20/1.41 (~(Y!0 = cell65)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9287, 9284])).
% 1.20/1.41 tff(9289,plain,
% 1.20/1.41 ((~(Y!0 = cell65)) | (~(X!1 = cell66))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3033, 9288])).
% 1.20/1.41 tff(9290,plain,
% 1.20/1.41 ((cell66 = cell88) <=> (cell66 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9291,plain,
% 1.20/1.41 ((cell66 = cell88) <=> (Y!0 = cell66)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9290, 3035])).
% 1.20/1.41 tff(9292,plain,
% 1.20/1.41 ((~(cell66 = cell88)) <=> (~(Y!0 = cell66))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9291])).
% 1.20/1.41 tff(9293,plain,
% 1.20/1.41 ((~(cell66 = cell88)) <=> (~(cell66 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9294,axiom,(~(cell66 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47507')).
% 1.20/1.41 tff(9295,plain,
% 1.20/1.41 (~(cell66 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9294, 9293])).
% 1.20/1.41 tff(9296,plain,
% 1.20/1.41 (~(Y!0 = cell66)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9295, 9292])).
% 1.20/1.41 tff(9297,plain,
% 1.20/1.41 ((~(Y!0 = cell66)) | (~(X!1 = cell67))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3043, 9296])).
% 1.20/1.41 tff(9298,plain,
% 1.20/1.41 ((cell67 = cell88) <=> (cell67 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9299,plain,
% 1.20/1.41 ((cell67 = cell88) <=> (Y!0 = cell67)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9298, 3045])).
% 1.20/1.41 tff(9300,plain,
% 1.20/1.41 ((~(cell67 = cell88)) <=> (~(Y!0 = cell67))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9299])).
% 1.20/1.41 tff(9301,plain,
% 1.20/1.41 ((~(cell67 = cell88)) <=> (~(cell67 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9302,axiom,(~(cell67 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47437')).
% 1.20/1.41 tff(9303,plain,
% 1.20/1.41 (~(cell67 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9302, 9301])).
% 1.20/1.41 tff(9304,plain,
% 1.20/1.41 (~(Y!0 = cell67)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9303, 9300])).
% 1.20/1.41 tff(9305,plain,
% 1.20/1.41 ((~(Y!0 = cell67)) | (~(X!1 = cell68))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3053, 9304])).
% 1.20/1.41 tff(9306,plain,
% 1.20/1.41 ((cell68 = cell88) <=> (cell68 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9307,plain,
% 1.20/1.41 ((cell68 = cell88) <=> (Y!0 = cell68)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9306, 3055])).
% 1.20/1.41 tff(9308,plain,
% 1.20/1.41 ((~(cell68 = cell88)) <=> (~(Y!0 = cell68))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9307])).
% 1.20/1.41 tff(9309,plain,
% 1.20/1.41 ((~(cell68 = cell88)) <=> (~(cell68 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9310,axiom,(~(cell68 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47366')).
% 1.20/1.41 tff(9311,plain,
% 1.20/1.41 (~(cell68 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9310, 9309])).
% 1.20/1.41 tff(9312,plain,
% 1.20/1.41 (~(Y!0 = cell68)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9311, 9308])).
% 1.20/1.41 tff(9313,plain,
% 1.20/1.41 ((~(Y!0 = cell68)) | (~(X!1 = cell69))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3063, 9312])).
% 1.20/1.41 tff(9314,plain,
% 1.20/1.41 ((cell69 = cell88) <=> (cell69 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9315,plain,
% 1.20/1.41 ((cell69 = cell88) <=> (Y!0 = cell69)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9314, 3065])).
% 1.20/1.41 tff(9316,plain,
% 1.20/1.41 ((~(cell69 = cell88)) <=> (~(Y!0 = cell69))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9315])).
% 1.20/1.41 tff(9317,plain,
% 1.20/1.41 ((~(cell69 = cell88)) <=> (~(cell69 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9318,axiom,(~(cell69 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47294')).
% 1.20/1.41 tff(9319,plain,
% 1.20/1.41 (~(cell69 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9318, 9317])).
% 1.20/1.41 tff(9320,plain,
% 1.20/1.41 (~(Y!0 = cell69)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9319, 9316])).
% 1.20/1.41 tff(9321,plain,
% 1.20/1.41 ((~(Y!0 = cell69)) | (~(X!1 = cell70))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3073, 9320])).
% 1.20/1.41 tff(9322,plain,
% 1.20/1.41 ((cell71 = cell88) <=> (cell71 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9323,plain,
% 1.20/1.41 ((cell71 = cell88) <=> (Y!0 = cell71)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9322, 3075])).
% 1.20/1.41 tff(9324,plain,
% 1.20/1.41 ((~(cell71 = cell88)) <=> (~(Y!0 = cell71))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9323])).
% 1.20/1.41 tff(9325,plain,
% 1.20/1.41 ((~(cell71 = cell88)) <=> (~(cell71 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9326,axiom,(~(cell71 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47072')).
% 1.20/1.41 tff(9327,plain,
% 1.20/1.41 (~(cell71 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9326, 9325])).
% 1.20/1.41 tff(9328,plain,
% 1.20/1.41 (~(Y!0 = cell71)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9327, 9324])).
% 1.20/1.41 tff(9329,plain,
% 1.20/1.41 ((~(Y!0 = cell71)) | (~(X!1 = cell72))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3083, 9328])).
% 1.20/1.41 tff(9330,plain,
% 1.20/1.41 ((cell72 = cell88) <=> (cell72 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9331,plain,
% 1.20/1.41 ((cell72 = cell88) <=> (Y!0 = cell72)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9330, 3085])).
% 1.20/1.41 tff(9332,plain,
% 1.20/1.41 ((~(cell72 = cell88)) <=> (~(Y!0 = cell72))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9331])).
% 1.20/1.41 tff(9333,plain,
% 1.20/1.41 ((~(cell72 = cell88)) <=> (~(cell72 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9334,axiom,(~(cell72 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47147')).
% 1.20/1.41 tff(9335,plain,
% 1.20/1.41 (~(cell72 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9334, 9333])).
% 1.20/1.41 tff(9336,plain,
% 1.20/1.41 (~(Y!0 = cell72)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9335, 9332])).
% 1.20/1.41 tff(9337,plain,
% 1.20/1.41 ((~(Y!0 = cell72)) | (~(X!1 = cell73))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3093, 9336])).
% 1.20/1.41 tff(9338,plain,
% 1.20/1.41 ((cell73 = cell88) <=> (cell73 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9339,plain,
% 1.20/1.41 ((cell73 = cell88) <=> (Y!0 = cell73)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9338, 3095])).
% 1.20/1.41 tff(9340,plain,
% 1.20/1.41 ((~(cell73 = cell88)) <=> (~(Y!0 = cell73))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9339])).
% 1.20/1.41 tff(9341,plain,
% 1.20/1.41 ((~(cell73 = cell88)) <=> (~(cell73 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9342,axiom,(~(cell73 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46996')).
% 1.20/1.41 tff(9343,plain,
% 1.20/1.41 (~(cell73 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9342, 9341])).
% 1.20/1.41 tff(9344,plain,
% 1.20/1.41 (~(Y!0 = cell73)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9343, 9340])).
% 1.20/1.41 tff(9345,plain,
% 1.20/1.41 ((~(Y!0 = cell73)) | (~(X!1 = cell74))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3103, 9344])).
% 1.20/1.41 tff(9346,plain,
% 1.20/1.41 ((cell74 = cell88) <=> (cell74 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9347,plain,
% 1.20/1.41 ((cell74 = cell88) <=> (Y!0 = cell74)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9346, 3105])).
% 1.20/1.41 tff(9348,plain,
% 1.20/1.41 ((~(cell74 = cell88)) <=> (~(Y!0 = cell74))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9347])).
% 1.20/1.41 tff(9349,plain,
% 1.20/1.41 ((~(cell74 = cell88)) <=> (~(cell74 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9350,axiom,(~(cell74 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46919')).
% 1.20/1.41 tff(9351,plain,
% 1.20/1.41 (~(cell74 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9350, 9349])).
% 1.20/1.41 tff(9352,plain,
% 1.20/1.41 (~(Y!0 = cell74)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9351, 9348])).
% 1.20/1.41 tff(9353,plain,
% 1.20/1.41 ((~(Y!0 = cell74)) | (~(X!1 = cell75))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3113, 9352])).
% 1.20/1.41 tff(9354,plain,
% 1.20/1.41 ((cell75 = cell88) <=> (cell75 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9355,plain,
% 1.20/1.41 ((cell75 = cell88) <=> (Y!0 = cell75)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9354, 3115])).
% 1.20/1.41 tff(9356,plain,
% 1.20/1.41 ((~(cell75 = cell88)) <=> (~(Y!0 = cell75))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9355])).
% 1.20/1.41 tff(9357,plain,
% 1.20/1.41 ((~(cell75 = cell88)) <=> (~(cell75 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9358,axiom,(~(cell75 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46841')).
% 1.20/1.41 tff(9359,plain,
% 1.20/1.41 (~(cell75 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9358, 9357])).
% 1.20/1.41 tff(9360,plain,
% 1.20/1.41 (~(Y!0 = cell75)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9359, 9356])).
% 1.20/1.41 tff(9361,plain,
% 1.20/1.41 ((~(Y!0 = cell75)) | (~(X!1 = cell76))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3123, 9360])).
% 1.20/1.41 tff(9362,plain,
% 1.20/1.41 ((cell76 = cell88) <=> (cell76 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9363,plain,
% 1.20/1.41 ((cell76 = cell88) <=> (Y!0 = cell76)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9362, 3125])).
% 1.20/1.41 tff(9364,plain,
% 1.20/1.41 ((~(cell76 = cell88)) <=> (~(Y!0 = cell76))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9363])).
% 1.20/1.41 tff(9365,plain,
% 1.20/1.41 ((~(cell76 = cell88)) <=> (~(cell76 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9366,axiom,(~(cell76 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46762')).
% 1.20/1.41 tff(9367,plain,
% 1.20/1.41 (~(cell76 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9366, 9365])).
% 1.20/1.41 tff(9368,plain,
% 1.20/1.41 (~(Y!0 = cell76)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9367, 9364])).
% 1.20/1.41 tff(9369,plain,
% 1.20/1.41 ((~(Y!0 = cell76)) | (~(X!1 = cell77))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3133, 9368])).
% 1.20/1.41 tff(9370,plain,
% 1.20/1.41 ((cell77 = cell88) <=> (cell77 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9371,plain,
% 1.20/1.41 ((cell77 = cell88) <=> (Y!0 = cell77)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9370, 3135])).
% 1.20/1.41 tff(9372,plain,
% 1.20/1.41 ((~(cell77 = cell88)) <=> (~(Y!0 = cell77))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9371])).
% 1.20/1.41 tff(9373,plain,
% 1.20/1.41 ((~(cell77 = cell88)) <=> (~(cell77 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9374,axiom,(~(cell77 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46682')).
% 1.20/1.41 tff(9375,plain,
% 1.20/1.41 (~(cell77 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9374, 9373])).
% 1.20/1.41 tff(9376,plain,
% 1.20/1.41 (~(Y!0 = cell77)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9375, 9372])).
% 1.20/1.41 tff(9377,plain,
% 1.20/1.41 ((~(Y!0 = cell77)) | (~(X!1 = cell78))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3143, 9376])).
% 1.20/1.41 tff(9378,plain,
% 1.20/1.41 ((cell78 = cell88) <=> (cell78 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9379,plain,
% 1.20/1.41 ((cell78 = cell88) <=> (Y!0 = cell78)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9378, 3145])).
% 1.20/1.41 tff(9380,plain,
% 1.20/1.41 ((~(cell78 = cell88)) <=> (~(Y!0 = cell78))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9379])).
% 1.20/1.41 tff(9381,plain,
% 1.20/1.41 ((~(cell78 = cell88)) <=> (~(cell78 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9382,axiom,(~(cell78 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46601')).
% 1.20/1.41 tff(9383,plain,
% 1.20/1.41 (~(cell78 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9382, 9381])).
% 1.20/1.41 tff(9384,plain,
% 1.20/1.41 (~(Y!0 = cell78)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9383, 9380])).
% 1.20/1.41 tff(9385,plain,
% 1.20/1.41 ((~(Y!0 = cell78)) | (~(X!1 = cell79))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3153, 9384])).
% 1.20/1.41 tff(9386,plain,
% 1.20/1.41 ((cell88 = cell99) <=> (Y!0 = cell99)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9387,plain,
% 1.20/1.41 ((~(cell88 = cell99)) <=> (~(Y!0 = cell99))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9386])).
% 1.20/1.41 tff(9388,plain,
% 1.20/1.41 (~(Y!0 = cell99)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[4967, 9387])).
% 1.20/1.41 tff(9389,plain,
% 1.20/1.41 ((~(X!1 = cell100)) | (~(Y!0 = cell99))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3161, 9388])).
% 1.20/1.41 tff(9390,plain,
% 1.20/1.41 ((cell81 = cell88) <=> (cell81 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9391,plain,
% 1.20/1.41 ((cell81 = cell88) <=> (Y!0 = cell81)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9390, 3163])).
% 1.20/1.41 tff(9392,plain,
% 1.20/1.41 ((~(cell81 = cell88)) <=> (~(Y!0 = cell81))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9391])).
% 1.20/1.41 tff(9393,plain,
% 1.20/1.41 ((~(cell81 = cell88)) <=> (~(cell81 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9394,axiom,(~(cell81 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46352')).
% 1.20/1.41 tff(9395,plain,
% 1.20/1.41 (~(cell81 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9394, 9393])).
% 1.20/1.41 tff(9396,plain,
% 1.20/1.41 (~(Y!0 = cell81)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9395, 9392])).
% 1.20/1.41 tff(9397,plain,
% 1.20/1.41 ((~(Y!0 = cell81)) | (~(X!1 = cell82))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3171, 9396])).
% 1.20/1.41 tff(9398,plain,
% 1.20/1.41 ((cell82 = cell88) <=> (cell82 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9399,plain,
% 1.20/1.41 ((cell82 = cell88) <=> (Y!0 = cell82)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9398, 3173])).
% 1.20/1.41 tff(9400,plain,
% 1.20/1.41 ((~(cell82 = cell88)) <=> (~(Y!0 = cell82))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9399])).
% 1.20/1.41 tff(9401,plain,
% 1.20/1.41 ((~(cell82 = cell88)) <=> (~(cell82 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9402,axiom,(~(cell82 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46436')).
% 1.20/1.41 tff(9403,plain,
% 1.20/1.41 (~(cell82 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9402, 9401])).
% 1.20/1.41 tff(9404,plain,
% 1.20/1.41 (~(Y!0 = cell82)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9403, 9400])).
% 1.20/1.41 tff(9405,plain,
% 1.20/1.41 ((~(Y!0 = cell82)) | (~(X!1 = cell83))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3181, 9404])).
% 1.20/1.41 tff(9406,plain,
% 1.20/1.41 ((cell83 = cell88) <=> (cell83 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9407,plain,
% 1.20/1.41 ((cell83 = cell88) <=> (Y!0 = cell83)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9406, 3183])).
% 1.20/1.41 tff(9408,plain,
% 1.20/1.41 ((~(cell83 = cell88)) <=> (~(Y!0 = cell83))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9407])).
% 1.20/1.41 tff(9409,plain,
% 1.20/1.41 ((~(cell83 = cell88)) <=> (~(cell83 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9410,axiom,(~(cell83 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46267')).
% 1.20/1.41 tff(9411,plain,
% 1.20/1.41 (~(cell83 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9410, 9409])).
% 1.20/1.41 tff(9412,plain,
% 1.20/1.41 (~(Y!0 = cell83)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9411, 9408])).
% 1.20/1.41 tff(9413,plain,
% 1.20/1.41 ((~(Y!0 = cell83)) | (~(X!1 = cell84))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3191, 9412])).
% 1.20/1.41 tff(9414,plain,
% 1.20/1.41 ((cell84 = cell88) <=> (cell84 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9415,plain,
% 1.20/1.41 ((cell84 = cell88) <=> (Y!0 = cell84)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9414, 3193])).
% 1.20/1.41 tff(9416,plain,
% 1.20/1.41 ((~(cell84 = cell88)) <=> (~(Y!0 = cell84))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9415])).
% 1.20/1.41 tff(9417,plain,
% 1.20/1.41 ((~(cell84 = cell88)) <=> (~(cell84 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9418,axiom,(~(cell84 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46181')).
% 1.20/1.41 tff(9419,plain,
% 1.20/1.41 (~(cell84 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9418, 9417])).
% 1.20/1.41 tff(9420,plain,
% 1.20/1.41 (~(Y!0 = cell84)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9419, 9416])).
% 1.20/1.41 tff(9421,plain,
% 1.20/1.41 ((~(Y!0 = cell84)) | (~(X!1 = cell85))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3201, 9420])).
% 1.20/1.41 tff(9422,plain,
% 1.20/1.41 ((cell85 = cell88) <=> (cell85 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9423,plain,
% 1.20/1.41 ((cell85 = cell88) <=> (Y!0 = cell85)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9422, 3203])).
% 1.20/1.41 tff(9424,plain,
% 1.20/1.41 ((~(cell85 = cell88)) <=> (~(Y!0 = cell85))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9423])).
% 1.20/1.41 tff(9425,plain,
% 1.20/1.41 ((~(cell85 = cell88)) <=> (~(cell85 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9426,axiom,(~(cell85 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46094')).
% 1.20/1.41 tff(9427,plain,
% 1.20/1.41 (~(cell85 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9426, 9425])).
% 1.20/1.41 tff(9428,plain,
% 1.20/1.41 (~(Y!0 = cell85)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9427, 9424])).
% 1.20/1.41 tff(9429,plain,
% 1.20/1.41 ((~(Y!0 = cell85)) | (~(X!1 = cell86))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3211, 9428])).
% 1.20/1.41 tff(9430,plain,
% 1.20/1.41 ((cell86 = cell88) <=> (cell86 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9431,plain,
% 1.20/1.41 ((cell86 = cell88) <=> (Y!0 = cell86)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9430, 3213])).
% 1.20/1.41 tff(9432,plain,
% 1.20/1.41 ((~(cell86 = cell88)) <=> (~(Y!0 = cell86))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9431])).
% 1.20/1.41 tff(9433,plain,
% 1.20/1.41 ((~(cell86 = cell88)) <=> (~(cell86 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9434,axiom,(~(cell86 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46006')).
% 1.20/1.41 tff(9435,plain,
% 1.20/1.41 (~(cell86 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9434, 9433])).
% 1.20/1.41 tff(9436,plain,
% 1.20/1.41 (~(Y!0 = cell86)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9435, 9432])).
% 1.20/1.41 tff(9437,plain,
% 1.20/1.41 ((~(Y!0 = cell86)) | (~(X!1 = cell87))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3221, 9436])).
% 1.20/1.41 tff(9438,plain,
% 1.20/1.41 ((~(Y!0 = cell87)) | (~(X!1 = cell88))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3231, 8850])).
% 1.20/1.41 tff(9439,plain,
% 1.20/1.41 ((cell89 = cell88) <=> (cell89 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9440,plain,
% 1.20/1.41 ((cell89 = cell88) <=> (Y!0 = cell89)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9439, 3297])).
% 1.20/1.41 tff(9441,plain,
% 1.20/1.41 ((~(cell89 = cell88)) <=> (~(Y!0 = cell89))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9440])).
% 1.20/1.41 tff(9442,plain,
% 1.20/1.41 ((~(cell89 = cell88)) <=> (~(cell89 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9443,axiom,(~(cell89 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49886')).
% 1.20/1.41 tff(9444,plain,
% 1.20/1.41 (~(cell89 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9443, 9442])).
% 1.20/1.41 tff(9445,plain,
% 1.20/1.41 (~(Y!0 = cell89)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9444, 9441])).
% 1.20/1.41 tff(9446,plain,
% 1.20/1.41 ((~(Y!0 = cell89)) | (~(X!1 = cell90))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3305, 9445])).
% 1.20/1.41 tff(9447,plain,
% 1.20/1.41 ((~(Y!0 = cell2)) | (~(X!1 = cell12))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3308, 8857])).
% 1.20/1.41 tff(9448,plain,
% 1.20/1.41 ((~(Y!0 = cell3)) | (~(X!1 = cell13))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[1995, 8871])).
% 1.20/1.41 tff(9449,plain,
% 1.20/1.41 ((~(Y!0 = cell4)) | (~(X!1 = cell14))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3311, 8879])).
% 1.20/1.41 tff(9450,plain,
% 1.20/1.41 ((~(Y!0 = cell5)) | (~(X!1 = cell15))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3313, 8887])).
% 1.20/1.41 tff(9451,plain,
% 1.20/1.41 ((~(Y!0 = cell6)) | (~(X!1 = cell16))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3315, 8895])).
% 1.20/1.41 tff(9452,plain,
% 1.20/1.41 ((~(Y!0 = cell7)) | (~(X!1 = cell17))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3317, 8903])).
% 1.20/1.41 tff(9453,plain,
% 1.20/1.41 ((~(Y!0 = cell8)) | (~(X!1 = cell18))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3319, 8911])).
% 1.20/1.41 tff(9454,plain,
% 1.20/1.41 ((~(Y!0 = cell9)) | (~(X!1 = cell19))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3321, 8919])).
% 1.20/1.41 tff(9455,plain,
% 1.20/1.41 ((cell10 = cell88) <=> (cell10 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9456,plain,
% 1.20/1.41 ((cell10 = cell88) <=> (Y!0 = cell10)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9455, 3323])).
% 1.20/1.41 tff(9457,plain,
% 1.20/1.41 ((~(cell10 = cell88)) <=> (~(Y!0 = cell10))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9456])).
% 1.20/1.41 tff(9458,plain,
% 1.20/1.41 ((~(cell10 = cell88)) <=> (~(cell10 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9459,axiom,(~(cell10 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49769')).
% 1.20/1.41 tff(9460,plain,
% 1.20/1.41 (~(cell10 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9459, 9458])).
% 1.20/1.41 tff(9461,plain,
% 1.20/1.41 (~(Y!0 = cell10)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9460, 9457])).
% 1.20/1.41 tff(9462,plain,
% 1.20/1.41 ((~(Y!0 = cell10)) | (~(X!1 = cell20))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3331, 9461])).
% 1.20/1.41 tff(9463,plain,
% 1.20/1.41 ((~(Y!0 = cell11)) | (~(X!1 = cell21))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3333, 8923])).
% 1.20/1.41 tff(9464,plain,
% 1.20/1.41 ((~(Y!0 = cell12)) | (~(X!1 = cell22))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3335, 8926])).
% 1.20/1.41 tff(9465,plain,
% 1.20/1.41 ((~(Y!0 = cell13)) | (~(X!1 = cell23))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3337, 8930])).
% 1.20/1.41 tff(9466,plain,
% 1.20/1.41 ((~(Y!0 = cell14)) | (~(X!1 = cell24))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3339, 8935])).
% 1.20/1.41 tff(9467,plain,
% 1.20/1.41 ((~(Y!0 = cell15)) | (~(X!1 = cell25))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3341, 8943])).
% 1.20/1.41 tff(9468,plain,
% 1.20/1.41 ((~(Y!0 = cell16)) | (~(X!1 = cell26))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3343, 8951])).
% 1.20/1.41 tff(9469,plain,
% 1.20/1.41 ((~(Y!0 = cell17)) | (~(X!1 = cell27))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3345, 8959])).
% 1.20/1.41 tff(9470,plain,
% 1.20/1.41 ((~(Y!0 = cell18)) | (~(X!1 = cell28))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3347, 8967])).
% 1.20/1.41 tff(9471,plain,
% 1.20/1.41 ((~(Y!0 = cell19)) | (~(X!1 = cell29))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3349, 8975])).
% 1.20/1.41 tff(9472,plain,
% 1.20/1.41 ((cell20 = cell88) <=> (cell20 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
% 1.20/1.41 tff(9473,plain,
% 1.20/1.41 ((cell20 = cell88) <=> (Y!0 = cell20)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9472, 3351])).
% 1.20/1.41 tff(9474,plain,
% 1.20/1.41 ((~(cell20 = cell88)) <=> (~(Y!0 = cell20))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9473])).
% 1.20/1.41 tff(9475,plain,
% 1.20/1.41 ((~(cell20 = cell88)) <=> (~(cell20 = cell88))),
% 1.20/1.41 inference(rewrite,[status(thm)],[])).
% 1.20/1.41 tff(9476,axiom,(~(cell20 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49622')).
% 1.20/1.41 tff(9477,plain,
% 1.20/1.41 (~(cell20 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9476, 9475])).
% 1.20/1.41 tff(9478,plain,
% 1.20/1.41 (~(Y!0 = cell20)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9477, 9474])).
% 1.20/1.41 tff(9479,plain,
% 1.20/1.41 ((~(Y!0 = cell20)) | (~(X!1 = cell30))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3359, 9478])).
% 1.20/1.41 tff(9480,plain,
% 1.20/1.41 ((~(Y!0 = cell22)) | (~(X!1 = cell32))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[2078, 8979])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3370, 9008])).
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% 1.20/1.41 ((cell30 = cell88) <=> (cell30 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
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% 1.20/1.41 ((cell30 = cell88) <=> (Y!0 = cell30)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9488, 3378])).
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% 1.20/1.41 ((~(cell30 = cell88)) <=> (~(Y!0 = cell30))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9489])).
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% 1.20/1.41 ((~(cell30 = cell88)) <=> (~(cell30 = cell88))),
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% 1.20/1.41 tff(9492,axiom,(~(cell30 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49361')).
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% 1.20/1.41 inference(modus_ponens,[status(thm)],[9492, 9491])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3386, 9494])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3388, 9040])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3390, 9048])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3392, 9056])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3394, 9064])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3396, 9072])).
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% 1.20/1.41 ((~(Y!0 = cell36)) | (~(X!1 = cell46))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3398, 9080])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3400, 9088])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3402, 9096])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3404, 9104])).
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% 1.20/1.41 ((cell40 = cell88) <=> (cell40 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
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% 1.20/1.41 ((cell40 = cell88) <=> (Y!0 = cell40)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9505, 3406])).
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% 1.20/1.41 ((~(cell40 = cell88)) <=> (~(Y!0 = cell40))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[9506])).
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% 1.20/1.41 ((~(cell40 = cell88)) <=> (~(cell40 = cell88))),
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% 1.20/1.41 tff(9509,axiom,(~(cell40 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48976')).
% 1.20/1.41 tff(9510,plain,
% 1.20/1.41 (~(cell40 = cell88)),
% 1.20/1.41 inference(modus_ponens,[status(thm)],[9509, 9508])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3418, 9120])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3420, 9128])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3422, 9136])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3424, 9144])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3426, 9152])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3428, 9160])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3430, 9168])).
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% 1.20/1.41 ((cell50 = cell88) <=> (cell50 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
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% 1.20/1.41 ((cell50 = cell88) <=> (Y!0 = cell50)),
% 1.20/1.41 inference(transitivity,[status(thm)],[9522, 3434])).
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% 1.20/1.41 inference(monotonicity,[status(thm)],[9523])).
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% 1.20/1.41 tff(9526,axiom,(~(cell50 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48491')).
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% 1.20/1.41 inference(modus_ponens,[status(thm)],[9526, 9525])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3452, 9216])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3454, 9224])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3456, 9232])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3458, 9240])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3460, 9248])).
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% 1.20/1.41 ((cell60 = cell88) <=> (cell60 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
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% 1.20/1.41 inference(transitivity,[status(thm)],[9539, 3462])).
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% 1.20/1.41 inference(monotonicity,[status(thm)],[9540])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3480, 9288])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3482, 9296])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3484, 9304])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3486, 9312])).
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% 1.20/1.41 ((cell70 = cell88) <=> (cell70 = Y!0)),
% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
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% 1.20/1.41 inference(transitivity,[status(thm)],[9556, 3490])).
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% 1.20/1.41 inference(monotonicity,[status(thm)],[9557])).
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% 1.20/1.41 tff(9560,axiom,(~(cell70 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47221')).
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% 1.20/1.41 inference(monotonicity,[status(thm)],[8775])).
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% 1.20/1.41 tff(9577,axiom,(~(cell80 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46519')).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3550, 8822])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3552, 8857])).
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% 1.20/1.41 ((~(X!1 = cell3)) | (~(Y!0 = cell4))),
% 1.20/1.41 inference(unit_resolution,[status(thm)],[3556, 8879])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3558, 8887])).
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% 1.20/1.41 inference(unit_resolution,[status(thm)],[3560, 8895])).
% 1.20/1.42 tff(9596,plain,
% 1.20/1.42 ((~(X!1 = cell6)) | (~(Y!0 = cell7))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3562, 8903])).
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% 1.20/1.42 ((~(X!1 = cell7)) | (~(Y!0 = cell8))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3564, 8911])).
% 1.20/1.42 tff(9598,plain,
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3566, 8919])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3568, 9461])).
% 1.20/1.42 tff(9600,plain,
% 1.20/1.42 ((cell100 = cell88) <=> (cell100 = Y!0)),
% 1.20/1.42 inference(monotonicity,[status(thm)],[8775])).
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% 1.20/1.42 inference(transitivity,[status(thm)],[9600, 3570])).
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% 1.20/1.42 inference(monotonicity,[status(thm)],[9601])).
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% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(9604,axiom,(~(cell100 = cell88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45071')).
% 1.20/1.42 tff(9605,plain,
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% 1.20/1.42 inference(modus_ponens,[status(thm)],[9604, 9603])).
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% 1.20/1.42 inference(modus_ponens,[status(thm)],[9605, 9602])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3578, 9606])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3580, 8930])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[1985, 8935])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3583, 8943])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3585, 8951])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3587, 8959])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3589, 8967])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3591, 8975])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3593, 9478])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[2072, 8979])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3596, 8984])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3598, 8992])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3600, 9000])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3602, 9008])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3604, 9016])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3606, 9024])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3608, 9032])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3610, 9494])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3612, 9048])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3614, 9056])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3616, 9064])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3618, 9072])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3620, 9080])).
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% 1.20/1.42 inference(unit_resolution,[status(thm)],[3634, 9136])).
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% 1.20/1.42 ((~(X!1 = cell16)) | (~(Y!0 = cell26))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3762, 9008])).
% 1.20/1.42 tff(9700,plain,
% 1.20/1.42 ((~(X!1 = cell17)) | (~(Y!0 = cell27))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3764, 9016])).
% 1.20/1.42 tff(9701,plain,
% 1.20/1.42 ((~(X!1 = cell18)) | (~(Y!0 = cell28))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3766, 9024])).
% 1.20/1.42 tff(9702,plain,
% 1.20/1.42 ((~(X!1 = cell19)) | (~(Y!0 = cell29))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3768, 9032])).
% 1.20/1.42 tff(9703,plain,
% 1.20/1.42 ((~(X!1 = cell20)) | (~(Y!0 = cell30))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3770, 9494])).
% 1.20/1.42 tff(9704,plain,
% 1.20/1.42 ((~(X!1 = cell21)) | (~(Y!0 = cell31))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3772, 9040])).
% 1.20/1.42 tff(9705,plain,
% 1.20/1.42 ((~(X!1 = cell22)) | (~(Y!0 = cell32))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3774, 9048])).
% 1.20/1.42 tff(9706,plain,
% 1.20/1.42 ((~(X!1 = cell23)) | (~(Y!0 = cell33))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3776, 9056])).
% 1.20/1.42 tff(9707,plain,
% 1.20/1.42 ((~(X!1 = cell24)) | (~(Y!0 = cell34))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3778, 9064])).
% 1.20/1.42 tff(9708,plain,
% 1.20/1.42 ((~(X!1 = cell25)) | (~(Y!0 = cell35))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3780, 9072])).
% 1.20/1.42 tff(9709,plain,
% 1.20/1.42 ((~(X!1 = cell26)) | (~(Y!0 = cell36))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3782, 9080])).
% 1.20/1.42 tff(9710,plain,
% 1.20/1.42 ((~(X!1 = cell27)) | (~(Y!0 = cell37))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3784, 9088])).
% 1.20/1.42 tff(9711,plain,
% 1.20/1.42 ((~(X!1 = cell28)) | (~(Y!0 = cell38))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3786, 9096])).
% 1.20/1.42 tff(9712,plain,
% 1.20/1.42 ((~(X!1 = cell29)) | (~(Y!0 = cell39))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3788, 9104])).
% 1.20/1.42 tff(9713,plain,
% 1.20/1.42 ((~(X!1 = cell30)) | (~(Y!0 = cell40))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3790, 9511])).
% 1.20/1.42 tff(9714,plain,
% 1.20/1.42 ((~(X!1 = cell31)) | (~(Y!0 = cell41))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3792, 9112])).
% 1.20/1.42 tff(9715,plain,
% 1.20/1.42 ((~(X!1 = cell32)) | (~(Y!0 = cell42))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3794, 9120])).
% 1.20/1.42 tff(9716,plain,
% 1.20/1.42 ((~(X!1 = cell33)) | (~(Y!0 = cell43))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3796, 9128])).
% 1.20/1.42 tff(9717,plain,
% 1.20/1.42 ((~(X!1 = cell34)) | (~(Y!0 = cell44))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3798, 9136])).
% 1.20/1.42 tff(9718,plain,
% 1.20/1.42 ((~(X!1 = cell35)) | (~(Y!0 = cell45))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3800, 9144])).
% 1.20/1.42 tff(9719,plain,
% 1.20/1.42 ((~(X!1 = cell36)) | (~(Y!0 = cell46))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3802, 9152])).
% 1.20/1.42 tff(9720,plain,
% 1.20/1.42 ((~(X!1 = cell37)) | (~(Y!0 = cell47))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3804, 9160])).
% 1.20/1.42 tff(9721,plain,
% 1.20/1.42 ((~(X!1 = cell38)) | (~(Y!0 = cell48))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3806, 9168])).
% 1.20/1.42 tff(9722,plain,
% 1.20/1.42 ((~(X!1 = cell39)) | (~(Y!0 = cell49))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3808, 9176])).
% 1.20/1.42 tff(9723,plain,
% 1.20/1.42 ((~(X!1 = cell40)) | (~(Y!0 = cell50))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3810, 9528])).
% 1.20/1.42 tff(9724,plain,
% 1.20/1.42 ((~(X!1 = cell41)) | (~(Y!0 = cell51))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3812, 9184])).
% 1.20/1.42 tff(9725,plain,
% 1.20/1.42 ((~(X!1 = cell42)) | (~(Y!0 = cell52))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3814, 9192])).
% 1.20/1.42 tff(9726,plain,
% 1.20/1.42 ((~(X!1 = cell43)) | (~(Y!0 = cell53))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3816, 9200])).
% 1.20/1.42 tff(9727,plain,
% 1.20/1.42 ((~(X!1 = cell44)) | (~(Y!0 = cell54))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3818, 9208])).
% 1.20/1.42 tff(9728,plain,
% 1.20/1.42 ((~(X!1 = cell45)) | (~(Y!0 = cell55))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3820, 9216])).
% 1.20/1.42 tff(9729,plain,
% 1.20/1.42 ((~(X!1 = cell46)) | (~(Y!0 = cell56))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3822, 9224])).
% 1.20/1.42 tff(9730,plain,
% 1.20/1.42 ((~(X!1 = cell47)) | (~(Y!0 = cell57))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3824, 9232])).
% 1.20/1.42 tff(9731,plain,
% 1.20/1.42 ((~(X!1 = cell48)) | (~(Y!0 = cell58))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3826, 9240])).
% 1.20/1.42 tff(9732,plain,
% 1.20/1.42 ((~(X!1 = cell49)) | (~(Y!0 = cell59))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3828, 9248])).
% 1.20/1.42 tff(9733,plain,
% 1.20/1.42 ((~(X!1 = cell50)) | (~(Y!0 = cell60))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3830, 9545])).
% 1.20/1.42 tff(9734,plain,
% 1.20/1.42 ((~(X!1 = cell51)) | (~(Y!0 = cell61))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3832, 9256])).
% 1.20/1.42 tff(9735,plain,
% 1.20/1.42 ((~(X!1 = cell52)) | (~(Y!0 = cell62))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3834, 9264])).
% 1.20/1.42 tff(9736,plain,
% 1.20/1.42 ((~(X!1 = cell53)) | (~(Y!0 = cell63))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3836, 9272])).
% 1.20/1.42 tff(9737,plain,
% 1.20/1.42 ((~(X!1 = cell54)) | (~(Y!0 = cell64))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3838, 9280])).
% 1.20/1.42 tff(9738,plain,
% 1.20/1.42 ((~(X!1 = cell55)) | (~(Y!0 = cell65))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3840, 9288])).
% 1.20/1.42 tff(9739,plain,
% 1.20/1.42 ((~(X!1 = cell56)) | (~(Y!0 = cell66))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3842, 9296])).
% 1.20/1.42 tff(9740,plain,
% 1.20/1.42 ((~(X!1 = cell57)) | (~(Y!0 = cell67))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3844, 9304])).
% 1.20/1.42 tff(9741,plain,
% 1.20/1.42 ((~(X!1 = cell58)) | (~(Y!0 = cell68))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3846, 9312])).
% 1.20/1.42 tff(9742,plain,
% 1.20/1.42 ((~(X!1 = cell59)) | (~(Y!0 = cell69))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3848, 9320])).
% 1.20/1.42 tff(9743,plain,
% 1.20/1.42 ((~(X!1 = cell60)) | (~(Y!0 = cell70))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3850, 9562])).
% 1.20/1.42 tff(9744,plain,
% 1.20/1.42 ((~(X!1 = cell61)) | (~(Y!0 = cell71))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3852, 9328])).
% 1.20/1.42 tff(9745,plain,
% 1.20/1.42 ((~(X!1 = cell62)) | (~(Y!0 = cell72))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3854, 9336])).
% 1.20/1.42 tff(9746,plain,
% 1.20/1.42 ((~(X!1 = cell63)) | (~(Y!0 = cell73))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3856, 9344])).
% 1.20/1.42 tff(9747,plain,
% 1.20/1.42 ((~(X!1 = cell64)) | (~(Y!0 = cell74))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3858, 9352])).
% 1.20/1.42 tff(9748,plain,
% 1.20/1.42 ((~(X!1 = cell65)) | (~(Y!0 = cell75))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3860, 9360])).
% 1.20/1.42 tff(9749,plain,
% 1.20/1.42 ((~(X!1 = cell66)) | (~(Y!0 = cell76))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3862, 9368])).
% 1.20/1.42 tff(9750,plain,
% 1.20/1.42 ((~(X!1 = cell67)) | (~(Y!0 = cell77))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3864, 9376])).
% 1.20/1.42 tff(9751,plain,
% 1.20/1.42 ((~(X!1 = cell68)) | (~(Y!0 = cell78))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3866, 9384])).
% 1.20/1.42 tff(9752,plain,
% 1.20/1.42 ((~(X!1 = cell11)) | (~(Y!0 = cell12))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[2119, 8926])).
% 1.20/1.42 tff(9753,plain,
% 1.20/1.42 ((~(X!1 = cell70)) | (~(Y!0 = cell80))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3869, 9579])).
% 1.20/1.42 tff(9754,plain,
% 1.20/1.42 ((~(X!1 = cell71)) | (~(Y!0 = cell81))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3871, 9396])).
% 1.20/1.42 tff(9755,plain,
% 1.20/1.42 ((~(X!1 = cell72)) | (~(Y!0 = cell82))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3873, 9404])).
% 1.20/1.42 tff(9756,plain,
% 1.20/1.42 ((~(X!1 = cell73)) | (~(Y!0 = cell83))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3875, 9412])).
% 1.20/1.42 tff(9757,plain,
% 1.20/1.42 ((~(X!1 = cell74)) | (~(Y!0 = cell84))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3877, 9420])).
% 1.20/1.42 tff(9758,plain,
% 1.20/1.42 ((~(X!1 = cell75)) | (~(Y!0 = cell85))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3879, 9428])).
% 1.20/1.42 tff(9759,plain,
% 1.20/1.42 ((~(X!1 = cell76)) | (~(Y!0 = cell86))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3881, 9436])).
% 1.20/1.42 tff(9760,plain,
% 1.20/1.42 ((~(X!1 = cell77)) | (~(Y!0 = cell87))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3883, 8850])).
% 1.20/1.42 tff(9761,plain,
% 1.20/1.42 ((~(X!1 = cell79)) | (~(Y!0 = cell89))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3887, 9445])).
% 1.20/1.42 tff(9762,plain,
% 1.20/1.42 ((~(X!1 = cell98)) | (~(Y!0 = cell99))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3889, 9388])).
% 1.20/1.42 tff(9763,plain,
% 1.20/1.42 ((~(X!1 = cell81)) | (~(Y!0 = cell91))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3891, 8782])).
% 1.20/1.42 tff(9764,plain,
% 1.20/1.42 ((~(X!1 = cell82)) | (~(Y!0 = cell92))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3893, 8790])).
% 1.20/1.42 tff(9765,plain,
% 1.20/1.42 ((~(X!1 = cell83)) | (~(Y!0 = cell93))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3895, 8798])).
% 1.20/1.42 tff(9766,plain,
% 1.20/1.42 ((~(X!1 = cell84)) | (~(Y!0 = cell94))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3897, 8806])).
% 1.20/1.42 tff(9767,plain,
% 1.20/1.42 ((~(X!1 = cell85)) | (~(Y!0 = cell95))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3899, 8814])).
% 1.20/1.42 tff(9768,plain,
% 1.20/1.42 ((~(X!1 = cell80)) | (~(Y!0 = cell90))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3901, 8842])).
% 1.20/1.42 tff(9769,plain,
% 1.20/1.42 ((~(X!1 = cell2)) | (~(Y!0 = cell12))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3736, 8926])).
% 1.20/1.42 tff(9770,plain,
% 1.20/1.42 ((~(X!1 = cell78)) | (~(Y!0 = cell88))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[913, 3940])).
% 1.20/1.42 tff(9771,plain,
% 1.20/1.42 ((~(X!1 = cell2)) | (~(Y!0 = cell3))),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3554, 8871])).
% 1.20/1.42 tff(9772,assumption,(patient(cell87)), introduced(assumption)).
% 1.20/1.42 tff(9773,plain,
% 1.20/1.42 ((~(cell87 = cell22)) <=> (~(cell87 = cell22))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(9774,axiom,(~(cell87 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45925')).
% 1.20/1.42 tff(9775,plain,
% 1.20/1.42 (~(cell87 = cell22)),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[9774, 9773])).
% 1.20/1.42 tff(9776,plain,
% 1.20/1.42 ((~(cell87 = cell2)) <=> (~(cell87 = cell2))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(9777,axiom,(~(cell87 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45923')).
% 1.20/1.42 tff(9778,plain,
% 1.20/1.42 (~(cell87 = cell2)),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[9777, 9776])).
% 1.20/1.42 tff(9779,plain,
% 1.20/1.42 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell87 = cell2) | (~patient(cell2)) | (~patient(cell87)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell87 = cell2) | (~patient(cell2)) | (~patient(cell87)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(9780,plain,
% 1.20/1.42 (((cell87 = cell2) | (~patient(cell87)) | (~patient(cell2))) <=> ((cell87 = cell2) | (~patient(cell2)) | (~patient(cell87)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(9781,plain,
% 1.20/1.42 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell87 = cell2) | (~patient(cell87)) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell87 = cell2) | (~patient(cell2)) | (~patient(cell87))))),
% 1.20/1.42 inference(monotonicity,[status(thm)],[9780])).
% 1.20/1.42 tff(9782,plain,
% 1.20/1.42 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell87 = cell2) | (~patient(cell87)) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell87 = cell2) | (~patient(cell2)) | (~patient(cell87)))),
% 1.20/1.42 inference(transitivity,[status(thm)],[9781, 9779])).
% 1.20/1.42 tff(9783,plain,
% 1.20/1.42 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell87 = cell2) | (~patient(cell87)) | (~patient(cell2)))),
% 1.20/1.42 inference(quant_inst,[status(thm)],[])).
% 1.20/1.42 tff(9784,plain,
% 1.20/1.42 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell87 = cell2) | (~patient(cell2)) | (~patient(cell87))),
% 1.20/1.42 inference(modus_ponens,[status(thm)],[9783, 9782])).
% 1.20/1.42 tff(9785,plain,
% 1.20/1.42 ($false),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[9784, 3912, 23, 9778, 9772])).
% 1.20/1.42 tff(9786,plain,((~patient(cell2)) | (~patient(cell87))), inference(lemma,lemma(discharge,[]))).
% 1.20/1.42 tff(9787,plain,
% 1.20/1.42 (~patient(cell2)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[9786, 9772])).
% 1.20/1.42 tff(9788,plain,
% 1.20/1.42 (patient(cell22)),
% 1.20/1.42 inference(unit_resolution,[status(thm)],[3276, 9787, 2388, 2387, 3904])).
% 1.20/1.42 tff(9789,plain,
% 1.20/1.42 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell87 = cell22) | (~patient(cell22)) | (~patient(cell87)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell87 = cell22) | (~patient(cell22)) | (~patient(cell87)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(9790,plain,
% 1.20/1.42 (((cell87 = cell22) | (~patient(cell87)) | (~patient(cell22))) <=> ((cell87 = cell22) | (~patient(cell22)) | (~patient(cell87)))),
% 1.20/1.42 inference(rewrite,[status(thm)],[])).
% 1.20/1.42 tff(9791,plain,
% 1.20/1.42 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell87 = cell22) | (~patient(cell87)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell87 = cell22) | (~patient(cell22)) | (~patient(cell87))))),
% 1.25/1.42 inference(monotonicity,[status(thm)],[9790])).
% 1.25/1.42 tff(9792,plain,
% 1.25/1.42 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell87 = cell22) | (~patient(cell87)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell87 = cell22) | (~patient(cell22)) | (~patient(cell87)))),
% 1.25/1.42 inference(transitivity,[status(thm)],[9791, 9789])).
% 1.25/1.42 tff(9793,plain,
% 1.25/1.42 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell87 = cell22) | (~patient(cell87)) | (~patient(cell22)))),
% 1.25/1.42 inference(quant_inst,[status(thm)],[])).
% 1.25/1.42 tff(9794,plain,
% 1.25/1.42 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell87 = cell22) | (~patient(cell22)) | (~patient(cell87))),
% 1.25/1.42 inference(modus_ponens,[status(thm)],[9793, 9792])).
% 1.25/1.42 tff(9795,plain,
% 1.25/1.42 ($false),
% 1.25/1.42 inference(unit_resolution,[status(thm)],[9794, 9788, 23, 9775, 9772])).
% 1.25/1.42 tff(9796,plain,((~patient(cell87)) | patient(cell13) | patient(cell12) | patient(cell11)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.42 tff(9797,plain,
% 1.25/1.42 (~patient(cell87)),
% 1.25/1.42 inference(unit_resolution,[status(thm)],[9796, 3904, 2387, 2388])).
% 1.25/1.42 tff(9798,assumption,(X!1 = cell87), introduced(assumption)).
% 1.25/1.42 tff(9799,plain,
% 1.25/1.42 (cell87 = X!1),
% 1.25/1.42 inference(symmetry,[status(thm)],[9798])).
% 1.25/1.42 tff(9800,plain,
% 1.25/1.42 (patient(cell87) <=> patient(X!1)),
% 1.25/1.42 inference(monotonicity,[status(thm)],[9799])).
% 1.25/1.42 tff(9801,plain,
% 1.25/1.42 (patient(X!1) <=> patient(cell87)),
% 1.25/1.42 inference(symmetry,[status(thm)],[9800])).
% 1.25/1.42 tff(9802,plain,
% 1.25/1.42 (patient(cell87)),
% 1.25/1.42 inference(modus_ponens,[status(thm)],[10, 9801])).
% 1.25/1.42 tff(9803,assumption,(~patient(cell87)), introduced(assumption)).
% 1.25/1.42 tff(9804,plain,
% 1.25/1.42 ($false),
% 1.25/1.42 inference(unit_resolution,[status(thm)],[9803, 9802])).
% 1.25/1.42 tff(9805,plain,(patient(cell87) | (~(X!1 = cell87))), inference(lemma,lemma(discharge,[]))).
% 1.25/1.42 tff(9806,plain,
% 1.25/1.42 (~(X!1 = cell87)),
% 1.25/1.42 inference(unit_resolution,[status(thm)],[9805, 9797])).
% 1.25/1.42 tff(9807,plain,
% 1.25/1.42 ((~(X!1 = cell87)) | (~(Y!0 = cell88))),
% 1.25/1.42 inference(unit_resolution,[status(thm)],[1181, 9806])).
% 1.25/1.42 tff(9808,plain,
% 1.25/1.42 (~((~(Y!0 = cell88)) | (~(X!1 = cell98)))),
% 1.25/1.42 inference(unit_resolution,[status(thm)],[4019, 9807, 2387, 2388, 9771, 9587, 1795, 1970, 1969, 1968, 1967, 1966, 1889, 1964, 1963, 1962, 1961, 1960, 1959, 1958, 1957, 1956, 1955, 1954, 1953, 1952, 1951, 1950, 1949, 1948, 1947, 1946, 1945, 1944, 1943, 1942, 1941, 1940, 1939, 1938, 1937, 1936, 1935, 1934, 1933, 1932, 1931, 1930, 1929, 1928, 1927, 1926, 1925, 1924, 1923, 1922, 1921, 1920, 1919, 1918, 1917, 1916, 1915, 1914, 1913, 1912, 1911, 1910, 1909, 2087, 1908, 1907, 1906, 1905, 1904, 1903, 1902, 1901, 1900, 1899, 1898, 1897, 1896, 1895, 1894, 1893, 1892, 1891, 9448, 1890, 1887, 1885, 1884, 1883, 1882, 1881, 1880, 1879, 1878, 1877, 1876, 1875, 1874, 1873, 1872, 1871, 1870, 1869, 1868, 1867, 1866, 1865, 1864, 1863, 1862, 1861, 1860, 1859, 1858, 1857, 1856, 1855, 1854, 1853, 1852, 1851, 1850, 1849, 1848, 1847, 1846, 1845, 1844, 1843, 1842, 1841, 1840, 1839, 1838, 1837, 1836, 1835, 1834, 1833, 1832, 1831, 1830, 1829, 1828, 1827, 2085, 1826, 1825, 1824, 1823, 1822, 1821, 1820, 1819, 2084, 1818, 1817, 1816, 1815, 1814, 1813, 1812, 8872, 1810, 1809, 1808, 1807, 1806, 1805, 1804, 1803, 1802, 1801, 1800, 8773, 1712, 1521, 1788, 1794, 1793, 1792, 1791, 1790, 1722, 3904, 1787, 1786, 1785, 1784, 1783, 1782, 1781, 1780, 1779, 1778, 1777, 1776, 1775, 1774, 1773, 1772, 1771, 1770, 1769, 1768, 1767, 1766, 1765, 1764, 1763, 1762, 1761, 1760, 1759, 1758, 1757, 1756, 1755, 1754, 1753, 1752, 1751, 1750, 1749, 1748, 1747, 1746, 1745, 1744, 1743, 1742, 1741, 1740, 1739, 1738, 1737, 1736, 1735, 1734, 1733, 1732, 1731, 1730, 1729, 1728, 1727, 1726, 1725, 1724, 1987, 2107, 1721, 1720, 1719, 1718, 1717, 1716, 1715, 1714, 1713, 1972, 1711, 1710, 1709, 1708, 1707, 1706, 1705, 1704, 1703, 1702, 1700, 9770, 1698, 1697, 1696, 1695, 1694, 1693, 1692, 1690, 1689, 1688, 1687, 1686, 1685, 1684, 1683, 1682, 1681, 1680, 1679, 1678, 1677, 1676, 1675, 1674, 1673, 1672, 1671, 1670, 1669, 1668, 1667, 1666, 1665, 1664, 1663, 1662, 1661, 1660, 1659, 1658, 1657, 1656, 1655, 1654, 1653, 1652, 1651, 1650, 1649, 1648, 1647, 1646, 1645, 1644, 1643, 1642, 1641, 1640, 2106, 1639, 1638, 1637, 1636, 1635, 1634, 2105, 1530, 1529, 1528, 1527, 1526, 1525, 1524, 1523, 1522, 1971, 1520, 1519])).
% 1.25/1.42 tff(9809,plain,
% 1.25/1.42 (X!1 = cell98),
% 1.25/1.42 inference(unit_resolution,[status(thm)],[1499, 9808])).
% 1.25/1.42 tff(9810,assumption,(X!1 = cell98), introduced(assumption)).
% 1.25/1.42 tff(9811,plain,
% 1.25/1.42 (cell98 = X!1),
% 1.25/1.42 inference(symmetry,[status(thm)],[9810])).
% 1.25/1.42 tff(9812,plain,
% 1.25/1.42 (patient(cell98) <=> patient(X!1)),
% 1.25/1.42 inference(monotonicity,[status(thm)],[9811])).
% 1.25/1.42 tff(9813,plain,
% 1.25/1.42 (patient(X!1) <=> patient(cell98)),
% 1.25/1.42 inference(symmetry,[status(thm)],[9812])).
% 1.25/1.42 tff(9814,plain,
% 1.25/1.42 (patient(cell98)),
% 1.25/1.42 inference(modus_ponens,[status(thm)],[10, 9813])).
% 1.25/1.42 tff(9815,assumption,(~patient(cell98)), introduced(assumption)).
% 1.25/1.42 tff(9816,plain,
% 1.25/1.42 ($false),
% 1.25/1.42 inference(unit_resolution,[status(thm)],[9815, 9814])).
% 1.25/1.42 tff(9817,plain,(patient(cell98) | (~(X!1 = cell98))), inference(lemma,lemma(discharge,[]))).
% 1.25/1.42 tff(9818,plain,
% 1.25/1.42 (patient(cell98)),
% 1.25/1.42 inference(unit_resolution,[status(thm)],[9817, 9809])).
% 1.25/1.42 tff(9819,assumption,(patient(cell98)), introduced(assumption)).
% 1.25/1.42 tff(9820,plain,
% 1.25/1.42 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell98 = cell22) | (~patient(cell22)) | (~patient(cell98)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell98 = cell22) | (~patient(cell22)) | (~patient(cell98)))),
% 1.25/1.42 inference(rewrite,[status(thm)],[])).
% 1.25/1.42 tff(9821,plain,
% 1.25/1.42 (((cell98 = cell22) | (~patient(cell98)) | (~patient(cell22))) <=> ((cell98 = cell22) | (~patient(cell22)) | (~patient(cell98)))),
% 1.25/1.42 inference(rewrite,[status(thm)],[])).
% 1.25/1.42 tff(9822,plain,
% 1.25/1.42 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell98 = cell22) | (~patient(cell98)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell98 = cell22) | (~patient(cell22)) | (~patient(cell98))))),
% 1.25/1.42 inference(monotonicity,[status(thm)],[9821])).
% 1.25/1.42 tff(9823,plain,
% 1.25/1.42 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell98 = cell22) | (~patient(cell98)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell98 = cell22) | (~patient(cell22)) | (~patient(cell98)))),
% 1.25/1.42 inference(transitivity,[status(thm)],[9822, 9820])).
% 1.25/1.42 tff(9824,plain,
% 1.25/1.42 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell98 = cell22) | (~patient(cell98)) | (~patient(cell22)))),
% 1.25/1.42 inference(quant_inst,[status(thm)],[])).
% 1.25/1.42 tff(9825,plain,
% 1.25/1.42 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell98 = cell22) | (~patient(cell22)) | (~patient(cell98))),
% 1.25/1.42 inference(modus_ponens,[status(thm)],[9824, 9823])).
% 1.25/1.42 tff(9826,plain,
% 1.25/1.42 ($false),
% 1.25/1.42 inference(unit_resolution,[status(thm)],[9825, 3237, 23, 5976, 9819])).
% 1.25/1.42 tff(9827,plain,((~patient(cell22)) | (~patient(cell98))), inference(lemma,lemma(discharge,[]))).
% 1.25/1.42 tff(9828,plain,
% 1.25/1.42 (~patient(cell22)),
% 1.25/1.42 inference(unit_resolution,[status(thm)],[9827, 9818])).
% 1.25/1.42 tff(9829,plain,
% 1.25/1.42 (patient(cell2)),
% 1.25/1.42 inference(unit_resolution,[status(thm)],[3276, 9828, 2388, 2387, 3904])).
% 1.25/1.42 tff(9830,plain,
% 1.25/1.42 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell98 = cell2) | (~patient(cell2)) | (~patient(cell98)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell98 = cell2) | (~patient(cell2)) | (~patient(cell98)))),
% 1.25/1.42 inference(rewrite,[status(thm)],[])).
% 1.25/1.42 tff(9831,plain,
% 1.25/1.42 (((cell98 = cell2) | (~patient(cell98)) | (~patient(cell2))) <=> ((cell98 = cell2) | (~patient(cell2)) | (~patient(cell98)))),
% 1.25/1.42 inference(rewrite,[status(thm)],[])).
% 1.25/1.42 tff(9832,plain,
% 1.25/1.42 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell98 = cell2) | (~patient(cell98)) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell98 = cell2) | (~patient(cell2)) | (~patient(cell98))))),
% 1.25/1.43 inference(monotonicity,[status(thm)],[9831])).
% 1.25/1.43 tff(9833,plain,
% 1.25/1.43 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell98 = cell2) | (~patient(cell98)) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell98 = cell2) | (~patient(cell2)) | (~patient(cell98)))),
% 1.25/1.43 inference(transitivity,[status(thm)],[9832, 9830])).
% 1.25/1.43 tff(9834,plain,
% 1.25/1.43 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell98 = cell2) | (~patient(cell98)) | (~patient(cell2)))),
% 1.25/1.43 inference(quant_inst,[status(thm)],[])).
% 1.25/1.43 tff(9835,plain,
% 1.25/1.43 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell98 = cell2) | (~patient(cell2)) | (~patient(cell98))),
% 1.25/1.43 inference(modus_ponens,[status(thm)],[9834, 9833])).
% 1.25/1.43 tff(9836,plain,
% 1.25/1.43 ($false),
% 1.25/1.43 inference(unit_resolution,[status(thm)],[9835, 9829, 23, 5952, 9818])).
% 1.25/1.43 tff(9837,plain,(patient(cell11) | patient(cell13) | patient(cell12) | (~((~(X!1 = cell2)) | (~(Y!0 = cell12)))) | (~((~(Y!0 = cell84)) | (~(X!1 = cell94)))) | (~((~(Y!0 = cell83)) | (~(X!1 = cell93)))) | (~((~(Y!0 = cell82)) | (~(X!1 = cell92)))) | (~((~(Y!0 = cell81)) | (~(X!1 = cell91)))) | (~((~(Y!0 = cell80)) | (~(X!1 = cell90)))) | (~((~(Y!0 = cell89)) | (~(X!1 = cell99)))) | (~((~(Y!0 = cell78)) | (~(X!1 = cell88)))) | (~((~(Y!0 = cell77)) | (~(X!1 = cell87)))) | (~((~(Y!0 = cell76)) | (~(X!1 = cell86)))) | (~((~(Y!0 = cell75)) | (~(X!1 = cell85)))) | (~((~(Y!0 = cell74)) | (~(X!1 = cell84)))) | (~((~(Y!0 = cell73)) | (~(X!1 = cell83)))) | (~((~(Y!0 = cell72)) | (~(X!1 = cell82)))) | (~((~(Y!0 = cell71)) | (~(X!1 = cell81)))) | (~((~(Y!0 = cell70)) | (~(X!1 = cell80)))) | (~((~(Y!0 = cell69)) | (~(X!1 = cell79)))) | (~((~(Y!0 = cell68)) | (~(X!1 = cell78)))) | (~((~(Y!0 = cell67)) | (~(X!1 = cell77)))) | (~((~(Y!0 = cell66)) | (~(X!1 = cell76)))) | (~((~(Y!0 = cell65)) | (~(X!1 = cell75)))) | (~((~(Y!0 = cell64)) | (~(X!1 = cell74)))) | (~((~(Y!0 = cell63)) | (~(X!1 = cell73)))) | (~((~(Y!0 = cell62)) | (~(X!1 = cell72)))) | (~((~(Y!0 = cell61)) | (~(X!1 = cell71)))) | (~((~(Y!0 = cell60)) | (~(X!1 = cell70)))) | (~((~(Y!0 = cell59)) | (~(X!1 = cell69)))) | (~((~(Y!0 = cell58)) | (~(X!1 = cell68)))) | (~((~(Y!0 = cell57)) | (~(X!1 = cell67)))) | (~((~(Y!0 = cell56)) | (~(X!1 = cell66)))) | (~((~(Y!0 = cell55)) | (~(X!1 = cell65)))) | (~((~(Y!0 = cell54)) | (~(X!1 = cell64)))) | (~((~(Y!0 = cell53)) | (~(X!1 = cell63)))) | (~((~(Y!0 = cell52)) | (~(X!1 = cell62)))) | (~((~(Y!0 = cell51)) | (~(X!1 = cell61)))) | (~((~(Y!0 = cell50)) | (~(X!1 = cell60)))) | (~((~(Y!0 = cell49)) | (~(X!1 = cell59)))) | (~((~(Y!0 = cell48)) | (~(X!1 = cell58)))) | (~((~(Y!0 = cell47)) | (~(X!1 = cell57)))) | (~((~(Y!0 = cell46)) | (~(X!1 = cell56)))) | (~((~(Y!0 = cell45)) | (~(X!1 = cell55)))) | (~((~(Y!0 = cell44)) | (~(X!1 = cell54)))) | (~((~(Y!0 = cell43)) | (~(X!1 = cell53)))) | (~((~(Y!0 = cell42)) | (~(X!1 = cell52)))) | (~((~(Y!0 = cell41)) | (~(X!1 = cell51)))) | (~((~(Y!0 = cell40)) | (~(X!1 = cell50)))) | (~((~(Y!0 = cell39)) | (~(X!1 = cell49)))) | (~((~(Y!0 = cell38)) | (~(X!1 = cell48)))) | (~((~(Y!0 = cell37)) | (~(X!1 = cell47)))) | (~((~(Y!0 = cell36)) | (~(X!1 = cell46)))) | (~((~(Y!0 = cell35)) | (~(X!1 = cell45)))) | (~((~(Y!0 = cell34)) | (~(X!1 = cell44)))) | (~((~(Y!0 = cell33)) | (~(X!1 = cell43)))) | (~((~(Y!0 = cell32)) | (~(X!1 = cell42)))) | (~((~(Y!0 = cell31)) | (~(X!1 = cell41)))) | (~((~(Y!0 = cell30)) | (~(X!1 = cell40)))) | (~((~(Y!0 = cell29)) | (~(X!1 = cell39)))) | (~((~(Y!0 = cell28)) | (~(X!1 = cell38)))) | (~((~(Y!0 = cell27)) | (~(X!1 = cell37)))) | (~((~(Y!0 = cell26)) | (~(X!1 = cell36)))) | (~((~(Y!0 = cell25)) | (~(X!1 = cell35)))) | (~((~(Y!0 = cell24)) | (~(X!1 = cell34)))) | (~((~(Y!0 = cell23)) | (~(X!1 = cell33)))) | (~((~(Y!0 = cell22)) | (~(X!1 = cell32)))) | (~((~(Y!0 = cell21)) | (~(X!1 = cell31)))) | (~((~(Y!0 = cell20)) | (~(X!1 = cell30)))) | (~((~(Y!0 = cell19)) | (~(X!1 = cell29)))) | (~((~(Y!0 = cell18)) | (~(X!1 = cell28)))) | (~((~(Y!0 = cell17)) | (~(X!1 = cell27)))) | (~((~(Y!0 = cell16)) | (~(X!1 = cell26)))) | (~((~(Y!0 = cell15)) | (~(X!1 = cell25)))) | (~((~(Y!0 = cell14)) | (~(X!1 = cell24)))) | (~((~(Y!0 = cell13)) | (~(X!1 = cell23)))) | (~((~(Y!0 = cell12)) | (~(X!1 = cell22)))) | (~((~(Y!0 = cell11)) | (~(X!1 = cell21)))) | (~((~(Y!0 = cell10)) | (~(X!1 = cell20)))) | (~((~(Y!0 = cell9)) | (~(X!1 = cell19)))) | (~((~(Y!0 = cell8)) | (~(X!1 = cell18)))) | (~((~(Y!0 = cell7)) | (~(X!1 = cell17)))) | (~((~(Y!0 = cell6)) | (~(X!1 = cell16)))) | (~((~(Y!0 = cell5)) | (~(X!1 = cell15)))) | (~((~(Y!0 = cell4)) | (~(X!1 = cell14)))) | (~((~(Y!0 = cell2)) | (~(X!1 = cell12)))) | (~((~(Y!0 = cell89)) | (~(X!1 = cell90)))) | (~((~(Y!0 = cell87)) | (~(X!1 = cell88)))) | (~((~(Y!0 = cell86)) | (~(X!1 = cell87)))) | (~((~(Y!0 = cell85)) | (~(X!1 = cell86)))) | (~((~(Y!0 = cell84)) | (~(X!1 = cell85)))) | (~((~(Y!0 = cell83)) | (~(X!1 = cell84)))) | (~((~(Y!0 = cell82)) | (~(X!1 = cell83)))) | (~((~(Y!0 = cell81)) | (~(X!1 = cell82)))) | (~((~(X!1 = cell100)) | (~(Y!0 = cell99)))) | (~((~(Y!0 = cell78)) | (~(X!1 = cell79)))) | (~((~(Y!0 = cell77)) | (~(X!1 = cell78)))) | (~((~(Y!0 = cell76)) | (~(X!1 = cell77)))) | (~((~(Y!0 = cell75)) | (~(X!1 = cell76)))) | (~((~(Y!0 = cell74)) | (~(X!1 = cell75)))) | (~((~(Y!0 = cell73)) | (~(X!1 = cell74)))) | (~((~(Y!0 = cell72)) | (~(X!1 = cell73)))) | (~((~(Y!0 = cell71)) | (~(X!1 = cell72)))) | (~((~(Y!0 = cell69)) | (~(X!1 = cell70)))) | (~((~(Y!0 = cell68)) | (~(X!1 = cell69)))) | (~((~(Y!0 = cell67)) | (~(X!1 = cell68)))) | (~((~(Y!0 = cell66)) | (~(X!1 = cell67)))) | (~((~(Y!0 = cell65)) | (~(X!1 = cell66)))) | (~((~(Y!0 = cell64)) | (~(X!1 = cell65)))) | (~((~(Y!0 = cell63)) | (~(X!1 = cell64)))) | (~((~(Y!0 = cell62)) | (~(X!1 = cell63)))) | (~((~(Y!0 = cell61)) | (~(X!1 = cell62)))) | (~((~(Y!0 = cell59)) | (~(X!1 = cell60)))) | (~((~(Y!0 = cell58)) | (~(X!1 = cell59)))) | (~((~(Y!0 = cell57)) | (~(X!1 = cell58)))) | (~((~(Y!0 = cell56)) | (~(X!1 = cell57)))) | (~((~(Y!0 = cell55)) | (~(X!1 = cell56)))) | (~((~(Y!0 = cell54)) | (~(X!1 = cell55)))) | (~((~(Y!0 = cell53)) | (~(X!1 = cell54)))) | (~((~(Y!0 = cell52)) | (~(X!1 = cell53)))) | (~((~(Y!0 = cell51)) | (~(X!1 = cell52)))) | (~((~(Y!0 = cell49)) | (~(X!1 = cell50)))) | (~((~(Y!0 = cell48)) | (~(X!1 = cell49)))) | (~((~(Y!0 = cell47)) | (~(X!1 = cell48)))) | (~((~(Y!0 = cell46)) | (~(X!1 = cell47)))) | (~((~(Y!0 = cell45)) | (~(X!1 = cell46)))) | (~((~(Y!0 = cell44)) | (~(X!1 = cell45)))) | (~((~(Y!0 = cell43)) | (~(X!1 = cell44)))) | (~((~(Y!0 = cell42)) | (~(X!1 = cell43)))) | (~((~(Y!0 = cell41)) | (~(X!1 = cell42)))) | (~((~(Y!0 = cell39)) | (~(X!1 = cell40)))) | (~((~(Y!0 = cell38)) | (~(X!1 = cell39)))) | (~((~(Y!0 = cell37)) | (~(X!1 = cell38)))) | (~((~(Y!0 = cell36)) | (~(X!1 = cell37)))) | (~((~(Y!0 = cell35)) 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% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(9921,plain,
% 1.28/1.46 ((cell7 = cell89) <=> (Y!0 = cell7)),
% 1.28/1.46 inference(transitivity,[status(thm)],[9920, 2533])).
% 1.28/1.46 tff(9922,plain,
% 1.28/1.46 ((~(cell7 = cell89)) <=> (~(Y!0 = cell7))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9921])).
% 1.28/1.46 tff(9923,plain,
% 1.28/1.46 ((~(cell7 = cell89)) <=> (~(cell7 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(9924,axiom,(~(cell7 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49816')).
% 1.28/1.46 tff(9925,plain,
% 1.28/1.46 (~(cell7 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[9924, 9923])).
% 1.28/1.46 tff(9926,plain,
% 1.28/1.46 (~(Y!0 = cell7)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[9925, 9922])).
% 1.28/1.46 tff(9927,plain,
% 1.28/1.46 ((~(X!1 = cell6)) | (~(Y!0 = cell7))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3562, 9926])).
% 1.28/1.46 tff(9928,plain,
% 1.28/1.46 ((cell8 = cell89) <=> (cell8 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(9929,plain,
% 1.28/1.46 ((cell8 = cell89) <=> (Y!0 = cell8)),
% 1.28/1.46 inference(transitivity,[status(thm)],[9928, 2543])).
% 1.28/1.46 tff(9930,plain,
% 1.28/1.46 ((~(cell8 = cell89)) <=> (~(Y!0 = cell8))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9929])).
% 1.28/1.46 tff(9931,plain,
% 1.28/1.46 ((~(cell8 = cell89)) <=> (~(cell8 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(9932,axiom,(~(cell8 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49801')).
% 1.28/1.46 tff(9933,plain,
% 1.28/1.46 (~(cell8 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[9932, 9931])).
% 1.28/1.46 tff(9934,plain,
% 1.28/1.46 (~(Y!0 = cell8)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[9933, 9930])).
% 1.28/1.46 tff(9935,plain,
% 1.28/1.46 ((~(X!1 = cell7)) | (~(Y!0 = cell8))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3564, 9934])).
% 1.28/1.46 tff(9936,plain,
% 1.28/1.46 ((cell9 = cell89) <=> (cell9 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(9937,plain,
% 1.28/1.46 ((cell9 = cell89) <=> (Y!0 = cell9)),
% 1.28/1.46 inference(transitivity,[status(thm)],[9936, 2553])).
% 1.28/1.46 tff(9938,plain,
% 1.28/1.46 ((~(cell9 = cell89)) <=> (~(Y!0 = cell9))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9937])).
% 1.28/1.46 tff(9939,plain,
% 1.28/1.46 ((~(cell9 = cell89)) <=> (~(cell9 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(9940,axiom,(~(cell9 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49785')).
% 1.28/1.46 tff(9941,plain,
% 1.28/1.46 (~(cell9 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[9940, 9939])).
% 1.28/1.46 tff(9942,plain,
% 1.28/1.46 (~(Y!0 = cell9)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[9941, 9938])).
% 1.28/1.46 tff(9943,plain,
% 1.28/1.46 ((~(X!1 = cell8)) | (~(Y!0 = cell9))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3566, 9942])).
% 1.28/1.46 tff(9944,plain,
% 1.28/1.46 ((cell10 = cell89) <=> (cell10 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(9945,plain,
% 1.28/1.46 ((cell10 = cell89) <=> (Y!0 = cell10)),
% 1.28/1.46 inference(transitivity,[status(thm)],[9944, 3323])).
% 1.28/1.46 tff(9946,plain,
% 1.28/1.46 ((~(cell10 = cell89)) <=> (~(Y!0 = cell10))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9945])).
% 1.28/1.46 tff(9947,plain,
% 1.28/1.46 ((~(cell10 = cell89)) <=> (~(cell10 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(9948,axiom,(~(cell10 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49768')).
% 1.28/1.46 tff(9949,plain,
% 1.28/1.46 (~(cell10 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[9948, 9947])).
% 1.28/1.46 tff(9950,plain,
% 1.28/1.46 (~(Y!0 = cell10)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[9949, 9946])).
% 1.28/1.46 tff(9951,plain,
% 1.28/1.46 ((~(X!1 = cell9)) | (~(Y!0 = cell10))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3568, 9950])).
% 1.28/1.46 tff(9952,plain,
% 1.28/1.46 ((cell100 = cell89) <=> (cell100 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(9953,plain,
% 1.28/1.46 ((cell100 = cell89) <=> (Y!0 = cell100)),
% 1.28/1.46 inference(transitivity,[status(thm)],[9952, 3570])).
% 1.28/1.46 tff(9954,plain,
% 1.28/1.46 ((~(cell100 = cell89)) <=> (~(Y!0 = cell100))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9953])).
% 1.28/1.46 tff(9955,plain,
% 1.28/1.46 ((~(cell100 = cell89)) <=> (~(cell100 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(9956,axiom,(~(cell100 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45070')).
% 1.28/1.46 tff(9957,plain,
% 1.28/1.46 (~(cell100 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[9956, 9955])).
% 1.28/1.46 tff(9958,plain,
% 1.28/1.46 (~(Y!0 = cell100)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[9957, 9954])).
% 1.28/1.46 tff(9959,plain,
% 1.28/1.46 ((~(X!1 = cell90)) | (~(Y!0 = cell100))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3578, 9958])).
% 1.28/1.46 tff(9960,plain,
% 1.28/1.46 ((cell89 = cell13) <=> (Y!0 = cell13)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(9961,plain,
% 1.28/1.46 ((~(cell89 = cell13)) <=> (~(Y!0 = cell13))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9960])).
% 1.28/1.46 tff(9962,plain,
% 1.28/1.46 (~(Y!0 = cell13)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[931, 9961])).
% 1.28/1.46 tff(9963,plain,
% 1.28/1.46 ((~(X!1 = cell12)) | (~(Y!0 = cell13))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3580, 9962])).
% 1.28/1.46 tff(9964,plain,
% 1.28/1.46 ((cell14 = cell89) <=> (cell14 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(9965,plain,
% 1.28/1.46 ((cell14 = cell89) <=> (Y!0 = cell14)),
% 1.28/1.46 inference(transitivity,[status(thm)],[9964, 1798])).
% 1.28/1.46 tff(9966,plain,
% 1.28/1.46 ((~(cell14 = cell89)) <=> (~(Y!0 = cell14))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9965])).
% 1.28/1.46 tff(9967,plain,
% 1.28/1.46 (~(Y!0 = cell14)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[2223, 9966])).
% 1.28/1.46 tff(9968,plain,
% 1.28/1.46 ((~(X!1 = cell13)) | (~(Y!0 = cell14))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[1985, 9967])).
% 1.28/1.46 tff(9969,plain,
% 1.28/1.46 ((cell15 = cell89) <=> (cell15 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(9970,plain,
% 1.28/1.46 ((cell15 = cell89) <=> (Y!0 = cell15)),
% 1.28/1.46 inference(transitivity,[status(thm)],[9969, 2586])).
% 1.28/1.46 tff(9971,plain,
% 1.28/1.46 ((~(cell15 = cell89)) <=> (~(Y!0 = cell15))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9970])).
% 1.28/1.46 tff(9972,plain,
% 1.28/1.46 ((~(cell15 = cell89)) <=> (~(cell15 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(9973,axiom,(~(cell15 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49731')).
% 1.28/1.46 tff(9974,plain,
% 1.28/1.46 (~(cell15 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[9973, 9972])).
% 1.28/1.46 tff(9975,plain,
% 1.28/1.46 (~(Y!0 = cell15)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[9974, 9971])).
% 1.28/1.46 tff(9976,plain,
% 1.28/1.46 ((~(X!1 = cell14)) | (~(Y!0 = cell15))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3583, 9975])).
% 1.28/1.46 tff(9977,plain,
% 1.28/1.46 ((cell16 = cell89) <=> (cell16 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(9978,plain,
% 1.28/1.46 ((cell16 = cell89) <=> (Y!0 = cell16)),
% 1.28/1.46 inference(transitivity,[status(thm)],[9977, 2596])).
% 1.28/1.46 tff(9979,plain,
% 1.28/1.46 ((~(cell16 = cell89)) <=> (~(Y!0 = cell16))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9978])).
% 1.28/1.46 tff(9980,plain,
% 1.28/1.46 ((~(cell16 = cell89)) <=> (~(cell16 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(9981,axiom,(~(cell16 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49711')).
% 1.28/1.46 tff(9982,plain,
% 1.28/1.46 (~(cell16 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[9981, 9980])).
% 1.28/1.46 tff(9983,plain,
% 1.28/1.46 (~(Y!0 = cell16)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[9982, 9979])).
% 1.28/1.46 tff(9984,plain,
% 1.28/1.46 ((~(X!1 = cell15)) | (~(Y!0 = cell16))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3585, 9983])).
% 1.28/1.46 tff(9985,plain,
% 1.28/1.46 ((cell17 = cell89) <=> (cell17 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(9986,plain,
% 1.28/1.46 ((cell17 = cell89) <=> (Y!0 = cell17)),
% 1.28/1.46 inference(transitivity,[status(thm)],[9985, 2606])).
% 1.28/1.46 tff(9987,plain,
% 1.28/1.46 ((~(cell17 = cell89)) <=> (~(Y!0 = cell17))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9986])).
% 1.28/1.46 tff(9988,plain,
% 1.28/1.46 ((~(cell17 = cell89)) <=> (~(cell17 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(9989,axiom,(~(cell17 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49690')).
% 1.28/1.46 tff(9990,plain,
% 1.28/1.46 (~(cell17 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[9989, 9988])).
% 1.28/1.46 tff(9991,plain,
% 1.28/1.46 (~(Y!0 = cell17)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[9990, 9987])).
% 1.28/1.46 tff(9992,plain,
% 1.28/1.46 ((~(X!1 = cell16)) | (~(Y!0 = cell17))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3587, 9991])).
% 1.28/1.46 tff(9993,plain,
% 1.28/1.46 ((cell18 = cell89) <=> (cell18 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(9994,plain,
% 1.28/1.46 ((cell18 = cell89) <=> (Y!0 = cell18)),
% 1.28/1.46 inference(transitivity,[status(thm)],[9993, 2616])).
% 1.28/1.46 tff(9995,plain,
% 1.28/1.46 ((~(cell18 = cell89)) <=> (~(Y!0 = cell18))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9994])).
% 1.28/1.46 tff(9996,plain,
% 1.28/1.46 ((~(cell18 = cell89)) <=> (~(cell18 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(9997,axiom,(~(cell18 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49668')).
% 1.28/1.46 tff(9998,plain,
% 1.28/1.46 (~(cell18 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[9997, 9996])).
% 1.28/1.46 tff(9999,plain,
% 1.28/1.46 (~(Y!0 = cell18)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[9998, 9995])).
% 1.28/1.46 tff(10000,plain,
% 1.28/1.46 ((~(X!1 = cell17)) | (~(Y!0 = cell18))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3589, 9999])).
% 1.28/1.46 tff(10001,plain,
% 1.28/1.46 ((cell19 = cell89) <=> (cell19 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10002,plain,
% 1.28/1.46 ((cell19 = cell89) <=> (Y!0 = cell19)),
% 1.28/1.46 inference(transitivity,[status(thm)],[10001, 2626])).
% 1.28/1.46 tff(10003,plain,
% 1.28/1.46 ((~(cell19 = cell89)) <=> (~(Y!0 = cell19))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10002])).
% 1.28/1.46 tff(10004,plain,
% 1.28/1.46 ((~(cell19 = cell89)) <=> (~(cell19 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(10005,axiom,(~(cell19 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49645')).
% 1.28/1.46 tff(10006,plain,
% 1.28/1.46 (~(cell19 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10005, 10004])).
% 1.28/1.46 tff(10007,plain,
% 1.28/1.46 (~(Y!0 = cell19)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10006, 10003])).
% 1.28/1.46 tff(10008,plain,
% 1.28/1.46 ((~(X!1 = cell18)) | (~(Y!0 = cell19))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3591, 10007])).
% 1.28/1.46 tff(10009,plain,
% 1.28/1.46 ((cell20 = cell89) <=> (cell20 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10010,plain,
% 1.28/1.46 ((cell20 = cell89) <=> (Y!0 = cell20)),
% 1.28/1.46 inference(transitivity,[status(thm)],[10009, 3351])).
% 1.28/1.46 tff(10011,plain,
% 1.28/1.46 ((~(cell20 = cell89)) <=> (~(Y!0 = cell20))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10010])).
% 1.28/1.46 tff(10012,plain,
% 1.28/1.46 ((~(cell20 = cell89)) <=> (~(cell20 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(10013,axiom,(~(cell20 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49621')).
% 1.28/1.46 tff(10014,plain,
% 1.28/1.46 (~(cell20 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10013, 10012])).
% 1.28/1.46 tff(10015,plain,
% 1.28/1.46 (~(Y!0 = cell20)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10014, 10011])).
% 1.28/1.46 tff(10016,plain,
% 1.28/1.46 ((~(X!1 = cell19)) | (~(Y!0 = cell20))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3593, 10015])).
% 1.28/1.46 tff(10017,plain,
% 1.28/1.46 ((cell89 = cell22) <=> (Y!0 = cell22)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10018,plain,
% 1.28/1.46 ((~(cell89 = cell22)) <=> (~(Y!0 = cell22))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10017])).
% 1.28/1.46 tff(10019,plain,
% 1.28/1.46 (~(Y!0 = cell22)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[2016, 10018])).
% 1.28/1.46 tff(10020,plain,
% 1.28/1.46 ((~(X!1 = cell21)) | (~(Y!0 = cell22))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[2072, 10019])).
% 1.28/1.46 tff(10021,plain,
% 1.28/1.46 ((cell23 = cell89) <=> (cell23 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10022,plain,
% 1.28/1.46 ((cell23 = cell89) <=> (Y!0 = cell23)),
% 1.28/1.46 inference(transitivity,[status(thm)],[10021, 2357])).
% 1.28/1.46 tff(10023,plain,
% 1.28/1.46 ((~(cell23 = cell89)) <=> (~(Y!0 = cell23))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10022])).
% 1.28/1.46 tff(10024,plain,
% 1.28/1.46 (~(Y!0 = cell23)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[1544, 10023])).
% 1.28/1.46 tff(10025,plain,
% 1.28/1.46 ((~(X!1 = cell22)) | (~(Y!0 = cell23))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3596, 10024])).
% 1.28/1.46 tff(10026,plain,
% 1.28/1.46 ((cell24 = cell89) <=> (cell24 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10027,plain,
% 1.28/1.46 ((cell24 = cell89) <=> (Y!0 = cell24)),
% 1.28/1.46 inference(transitivity,[status(thm)],[10026, 2655])).
% 1.28/1.46 tff(10028,plain,
% 1.28/1.46 ((~(cell24 = cell89)) <=> (~(Y!0 = cell24))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10027])).
% 1.28/1.46 tff(10029,plain,
% 1.28/1.46 ((~(cell24 = cell89)) <=> (~(cell24 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(10030,axiom,(~(cell24 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49543')).
% 1.28/1.46 tff(10031,plain,
% 1.28/1.46 (~(cell24 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10030, 10029])).
% 1.28/1.46 tff(10032,plain,
% 1.28/1.46 (~(Y!0 = cell24)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10031, 10028])).
% 1.28/1.46 tff(10033,plain,
% 1.28/1.46 ((~(X!1 = cell23)) | (~(Y!0 = cell24))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3598, 10032])).
% 1.28/1.46 tff(10034,plain,
% 1.28/1.46 ((cell25 = cell89) <=> (cell25 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10035,plain,
% 1.28/1.46 ((cell25 = cell89) <=> (Y!0 = cell25)),
% 1.28/1.46 inference(transitivity,[status(thm)],[10034, 2665])).
% 1.28/1.46 tff(10036,plain,
% 1.28/1.46 ((~(cell25 = cell89)) <=> (~(Y!0 = cell25))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10035])).
% 1.28/1.46 tff(10037,plain,
% 1.28/1.46 ((~(cell25 = cell89)) <=> (~(cell25 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(10038,axiom,(~(cell25 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49515')).
% 1.28/1.46 tff(10039,plain,
% 1.28/1.46 (~(cell25 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10038, 10037])).
% 1.28/1.46 tff(10040,plain,
% 1.28/1.46 (~(Y!0 = cell25)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10039, 10036])).
% 1.28/1.46 tff(10041,plain,
% 1.28/1.46 ((~(X!1 = cell24)) | (~(Y!0 = cell25))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3600, 10040])).
% 1.28/1.46 tff(10042,plain,
% 1.28/1.46 ((cell26 = cell89) <=> (cell26 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10043,plain,
% 1.28/1.46 ((cell26 = cell89) <=> (Y!0 = cell26)),
% 1.28/1.46 inference(transitivity,[status(thm)],[10042, 2675])).
% 1.28/1.46 tff(10044,plain,
% 1.28/1.46 ((~(cell26 = cell89)) <=> (~(Y!0 = cell26))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10043])).
% 1.28/1.46 tff(10045,plain,
% 1.28/1.46 ((~(cell26 = cell89)) <=> (~(cell26 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(10046,axiom,(~(cell26 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49486')).
% 1.28/1.46 tff(10047,plain,
% 1.28/1.46 (~(cell26 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10046, 10045])).
% 1.28/1.46 tff(10048,plain,
% 1.28/1.46 (~(Y!0 = cell26)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10047, 10044])).
% 1.28/1.46 tff(10049,plain,
% 1.28/1.46 ((~(X!1 = cell25)) | (~(Y!0 = cell26))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3602, 10048])).
% 1.28/1.46 tff(10050,plain,
% 1.28/1.46 ((cell27 = cell89) <=> (cell27 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10051,plain,
% 1.28/1.46 ((cell27 = cell89) <=> (Y!0 = cell27)),
% 1.28/1.46 inference(transitivity,[status(thm)],[10050, 2685])).
% 1.28/1.46 tff(10052,plain,
% 1.28/1.46 ((~(cell27 = cell89)) <=> (~(Y!0 = cell27))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10051])).
% 1.28/1.46 tff(10053,plain,
% 1.28/1.46 ((~(cell27 = cell89)) <=> (~(cell27 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(10054,axiom,(~(cell27 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49456')).
% 1.28/1.46 tff(10055,plain,
% 1.28/1.46 (~(cell27 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10054, 10053])).
% 1.28/1.46 tff(10056,plain,
% 1.28/1.46 (~(Y!0 = cell27)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10055, 10052])).
% 1.28/1.46 tff(10057,plain,
% 1.28/1.46 ((~(X!1 = cell26)) | (~(Y!0 = cell27))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3604, 10056])).
% 1.28/1.46 tff(10058,plain,
% 1.28/1.46 ((cell28 = cell89) <=> (cell28 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10059,plain,
% 1.28/1.46 ((cell28 = cell89) <=> (Y!0 = cell28)),
% 1.28/1.46 inference(transitivity,[status(thm)],[10058, 2695])).
% 1.28/1.46 tff(10060,plain,
% 1.28/1.46 ((~(cell28 = cell89)) <=> (~(Y!0 = cell28))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10059])).
% 1.28/1.46 tff(10061,plain,
% 1.28/1.46 ((~(cell28 = cell89)) <=> (~(cell28 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(10062,axiom,(~(cell28 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49425')).
% 1.28/1.46 tff(10063,plain,
% 1.28/1.46 (~(cell28 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10062, 10061])).
% 1.28/1.46 tff(10064,plain,
% 1.28/1.46 (~(Y!0 = cell28)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10063, 10060])).
% 1.28/1.46 tff(10065,plain,
% 1.28/1.46 ((~(X!1 = cell27)) | (~(Y!0 = cell28))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3606, 10064])).
% 1.28/1.46 tff(10066,plain,
% 1.28/1.46 ((cell29 = cell89) <=> (cell29 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10067,plain,
% 1.28/1.46 ((cell29 = cell89) <=> (Y!0 = cell29)),
% 1.28/1.46 inference(transitivity,[status(thm)],[10066, 2705])).
% 1.28/1.46 tff(10068,plain,
% 1.28/1.46 ((~(cell29 = cell89)) <=> (~(Y!0 = cell29))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10067])).
% 1.28/1.46 tff(10069,plain,
% 1.28/1.46 ((~(cell29 = cell89)) <=> (~(cell29 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(10070,axiom,(~(cell29 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49393')).
% 1.28/1.46 tff(10071,plain,
% 1.28/1.46 (~(cell29 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10070, 10069])).
% 1.28/1.46 tff(10072,plain,
% 1.28/1.46 (~(Y!0 = cell29)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10071, 10068])).
% 1.28/1.46 tff(10073,plain,
% 1.28/1.46 ((~(X!1 = cell28)) | (~(Y!0 = cell29))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3608, 10072])).
% 1.28/1.46 tff(10074,plain,
% 1.28/1.46 ((cell30 = cell89) <=> (cell30 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10075,plain,
% 1.28/1.46 ((cell30 = cell89) <=> (Y!0 = cell30)),
% 1.28/1.46 inference(transitivity,[status(thm)],[10074, 3378])).
% 1.28/1.46 tff(10076,plain,
% 1.28/1.46 ((~(cell30 = cell89)) <=> (~(Y!0 = cell30))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10075])).
% 1.28/1.46 tff(10077,plain,
% 1.28/1.46 ((~(cell30 = cell89)) <=> (~(cell30 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(10078,axiom,(~(cell30 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49360')).
% 1.28/1.46 tff(10079,plain,
% 1.28/1.46 (~(cell30 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10078, 10077])).
% 1.28/1.46 tff(10080,plain,
% 1.28/1.46 (~(Y!0 = cell30)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10079, 10076])).
% 1.28/1.46 tff(10081,plain,
% 1.28/1.46 ((~(X!1 = cell29)) | (~(Y!0 = cell30))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3610, 10080])).
% 1.28/1.46 tff(10082,plain,
% 1.28/1.46 ((cell32 = cell89) <=> (cell32 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10083,plain,
% 1.28/1.46 ((cell32 = cell89) <=> (Y!0 = cell32)),
% 1.28/1.46 inference(transitivity,[status(thm)],[10082, 2725])).
% 1.28/1.46 tff(10084,plain,
% 1.28/1.46 ((~(cell32 = cell89)) <=> (~(Y!0 = cell32))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10083])).
% 1.28/1.46 tff(10085,plain,
% 1.28/1.46 ((~(cell32 = cell89)) <=> (~(cell32 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(10086,axiom,(~(cell32 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49326')).
% 1.28/1.46 tff(10087,plain,
% 1.28/1.46 (~(cell32 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10086, 10085])).
% 1.28/1.46 tff(10088,plain,
% 1.28/1.46 (~(Y!0 = cell32)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10087, 10084])).
% 1.28/1.46 tff(10089,plain,
% 1.28/1.46 ((~(X!1 = cell31)) | (~(Y!0 = cell32))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3612, 10088])).
% 1.28/1.46 tff(10090,plain,
% 1.28/1.46 ((cell33 = cell89) <=> (cell33 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10091,plain,
% 1.28/1.46 ((cell33 = cell89) <=> (Y!0 = cell33)),
% 1.28/1.46 inference(transitivity,[status(thm)],[10090, 2735])).
% 1.28/1.46 tff(10092,plain,
% 1.28/1.46 ((~(cell33 = cell89)) <=> (~(Y!0 = cell33))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10091])).
% 1.28/1.46 tff(10093,plain,
% 1.28/1.46 ((~(cell33 = cell89)) <=> (~(cell33 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(10094,axiom,(~(cell33 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49255')).
% 1.28/1.46 tff(10095,plain,
% 1.28/1.46 (~(cell33 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10094, 10093])).
% 1.28/1.46 tff(10096,plain,
% 1.28/1.46 (~(Y!0 = cell33)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10095, 10092])).
% 1.28/1.46 tff(10097,plain,
% 1.28/1.46 ((~(X!1 = cell32)) | (~(Y!0 = cell33))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3614, 10096])).
% 1.28/1.46 tff(10098,plain,
% 1.28/1.46 ((cell34 = cell89) <=> (cell34 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10099,plain,
% 1.28/1.46 ((cell34 = cell89) <=> (Y!0 = cell34)),
% 1.28/1.46 inference(transitivity,[status(thm)],[10098, 2745])).
% 1.28/1.46 tff(10100,plain,
% 1.28/1.46 ((~(cell34 = cell89)) <=> (~(Y!0 = cell34))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10099])).
% 1.28/1.46 tff(10101,plain,
% 1.28/1.46 ((~(cell34 = cell89)) <=> (~(cell34 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(10102,axiom,(~(cell34 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49218')).
% 1.28/1.46 tff(10103,plain,
% 1.28/1.46 (~(cell34 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10102, 10101])).
% 1.28/1.46 tff(10104,plain,
% 1.28/1.46 (~(Y!0 = cell34)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10103, 10100])).
% 1.28/1.46 tff(10105,plain,
% 1.28/1.46 ((~(X!1 = cell33)) | (~(Y!0 = cell34))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3616, 10104])).
% 1.28/1.46 tff(10106,plain,
% 1.28/1.46 ((cell35 = cell89) <=> (cell35 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10107,plain,
% 1.28/1.46 ((cell35 = cell89) <=> (Y!0 = cell35)),
% 1.28/1.46 inference(transitivity,[status(thm)],[10106, 2755])).
% 1.28/1.46 tff(10108,plain,
% 1.28/1.46 ((~(cell35 = cell89)) <=> (~(Y!0 = cell35))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10107])).
% 1.28/1.46 tff(10109,plain,
% 1.28/1.46 ((~(cell35 = cell89)) <=> (~(cell35 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(10110,axiom,(~(cell35 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49180')).
% 1.28/1.46 tff(10111,plain,
% 1.28/1.46 (~(cell35 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10110, 10109])).
% 1.28/1.46 tff(10112,plain,
% 1.28/1.46 (~(Y!0 = cell35)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10111, 10108])).
% 1.28/1.46 tff(10113,plain,
% 1.28/1.46 ((~(X!1 = cell34)) | (~(Y!0 = cell35))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3618, 10112])).
% 1.28/1.46 tff(10114,plain,
% 1.28/1.46 ((cell36 = cell89) <=> (cell36 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10115,plain,
% 1.28/1.46 ((cell36 = cell89) <=> (Y!0 = cell36)),
% 1.28/1.46 inference(transitivity,[status(thm)],[10114, 2765])).
% 1.28/1.46 tff(10116,plain,
% 1.28/1.46 ((~(cell36 = cell89)) <=> (~(Y!0 = cell36))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10115])).
% 1.28/1.46 tff(10117,plain,
% 1.28/1.46 ((~(cell36 = cell89)) <=> (~(cell36 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(10118,axiom,(~(cell36 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49141')).
% 1.28/1.46 tff(10119,plain,
% 1.28/1.46 (~(cell36 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10118, 10117])).
% 1.28/1.46 tff(10120,plain,
% 1.28/1.46 (~(Y!0 = cell36)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10119, 10116])).
% 1.28/1.46 tff(10121,plain,
% 1.28/1.46 ((~(X!1 = cell35)) | (~(Y!0 = cell36))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3620, 10120])).
% 1.28/1.46 tff(10122,plain,
% 1.28/1.46 ((cell37 = cell89) <=> (cell37 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10123,plain,
% 1.28/1.46 ((cell37 = cell89) <=> (Y!0 = cell37)),
% 1.28/1.46 inference(transitivity,[status(thm)],[10122, 2775])).
% 1.28/1.46 tff(10124,plain,
% 1.28/1.46 ((~(cell37 = cell89)) <=> (~(Y!0 = cell37))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10123])).
% 1.28/1.46 tff(10125,plain,
% 1.28/1.46 ((~(cell37 = cell89)) <=> (~(cell37 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(10126,axiom,(~(cell37 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49101')).
% 1.28/1.46 tff(10127,plain,
% 1.28/1.46 (~(cell37 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10126, 10125])).
% 1.28/1.46 tff(10128,plain,
% 1.28/1.46 (~(Y!0 = cell37)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10127, 10124])).
% 1.28/1.46 tff(10129,plain,
% 1.28/1.46 ((~(X!1 = cell36)) | (~(Y!0 = cell37))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3622, 10128])).
% 1.28/1.46 tff(10130,plain,
% 1.28/1.46 ((cell38 = cell89) <=> (cell38 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10131,plain,
% 1.28/1.46 ((cell38 = cell89) <=> (Y!0 = cell38)),
% 1.28/1.46 inference(transitivity,[status(thm)],[10130, 2785])).
% 1.28/1.46 tff(10132,plain,
% 1.28/1.46 ((~(cell38 = cell89)) <=> (~(Y!0 = cell38))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10131])).
% 1.28/1.46 tff(10133,plain,
% 1.28/1.46 ((~(cell38 = cell89)) <=> (~(cell38 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(10134,axiom,(~(cell38 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49060')).
% 1.28/1.46 tff(10135,plain,
% 1.28/1.46 (~(cell38 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10134, 10133])).
% 1.28/1.46 tff(10136,plain,
% 1.28/1.46 (~(Y!0 = cell38)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10135, 10132])).
% 1.28/1.46 tff(10137,plain,
% 1.28/1.46 ((~(X!1 = cell37)) | (~(Y!0 = cell38))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3624, 10136])).
% 1.28/1.46 tff(10138,plain,
% 1.28/1.46 ((cell39 = cell89) <=> (cell39 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10139,plain,
% 1.28/1.46 ((cell39 = cell89) <=> (Y!0 = cell39)),
% 1.28/1.46 inference(transitivity,[status(thm)],[10138, 2795])).
% 1.28/1.46 tff(10140,plain,
% 1.28/1.46 ((~(cell39 = cell89)) <=> (~(Y!0 = cell39))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10139])).
% 1.28/1.46 tff(10141,plain,
% 1.28/1.46 ((~(cell39 = cell89)) <=> (~(cell39 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(10142,axiom,(~(cell39 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49018')).
% 1.28/1.46 tff(10143,plain,
% 1.28/1.46 (~(cell39 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10142, 10141])).
% 1.28/1.46 tff(10144,plain,
% 1.28/1.46 (~(Y!0 = cell39)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10143, 10140])).
% 1.28/1.46 tff(10145,plain,
% 1.28/1.46 ((~(X!1 = cell38)) | (~(Y!0 = cell39))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3626, 10144])).
% 1.28/1.46 tff(10146,plain,
% 1.28/1.46 ((cell40 = cell89) <=> (cell40 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10147,plain,
% 1.28/1.46 ((cell40 = cell89) <=> (Y!0 = cell40)),
% 1.28/1.46 inference(transitivity,[status(thm)],[10146, 3406])).
% 1.28/1.46 tff(10148,plain,
% 1.28/1.46 ((~(cell40 = cell89)) <=> (~(Y!0 = cell40))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10147])).
% 1.28/1.46 tff(10149,plain,
% 1.28/1.46 ((~(cell40 = cell89)) <=> (~(cell40 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(10150,axiom,(~(cell40 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48975')).
% 1.28/1.46 tff(10151,plain,
% 1.28/1.46 (~(cell40 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10150, 10149])).
% 1.28/1.46 tff(10152,plain,
% 1.28/1.46 (~(Y!0 = cell40)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10151, 10148])).
% 1.28/1.46 tff(10153,plain,
% 1.28/1.46 ((~(X!1 = cell39)) | (~(Y!0 = cell40))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3628, 10152])).
% 1.28/1.46 tff(10154,plain,
% 1.28/1.46 ((cell42 = cell89) <=> (cell42 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10155,plain,
% 1.28/1.46 ((cell42 = cell89) <=> (Y!0 = cell42)),
% 1.28/1.46 inference(transitivity,[status(thm)],[10154, 2815])).
% 1.28/1.46 tff(10156,plain,
% 1.28/1.46 ((~(cell42 = cell89)) <=> (~(Y!0 = cell42))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10155])).
% 1.28/1.46 tff(10157,plain,
% 1.28/1.46 ((~(cell42 = cell89)) <=> (~(cell42 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(10158,axiom,(~(cell42 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48931')).
% 1.28/1.46 tff(10159,plain,
% 1.28/1.46 (~(cell42 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10158, 10157])).
% 1.28/1.46 tff(10160,plain,
% 1.28/1.46 (~(Y!0 = cell42)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10159, 10156])).
% 1.28/1.46 tff(10161,plain,
% 1.28/1.46 ((~(X!1 = cell41)) | (~(Y!0 = cell42))),
% 1.28/1.46 inference(unit_resolution,[status(thm)],[3630, 10160])).
% 1.28/1.46 tff(10162,plain,
% 1.28/1.46 ((cell43 = cell89) <=> (cell43 = Y!0)),
% 1.28/1.46 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.46 tff(10163,plain,
% 1.28/1.46 ((cell43 = cell89) <=> (Y!0 = cell43)),
% 1.28/1.46 inference(transitivity,[status(thm)],[10162, 2825])).
% 1.28/1.46 tff(10164,plain,
% 1.28/1.46 ((~(cell43 = cell89)) <=> (~(Y!0 = cell43))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[10163])).
% 1.28/1.46 tff(10165,plain,
% 1.28/1.46 ((~(cell43 = cell89)) <=> (~(cell43 = cell89))),
% 1.28/1.46 inference(rewrite,[status(thm)],[])).
% 1.28/1.46 tff(10166,axiom,(~(cell43 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48840')).
% 1.28/1.46 tff(10167,plain,
% 1.28/1.46 (~(cell43 = cell89)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10166, 10165])).
% 1.28/1.46 tff(10168,plain,
% 1.28/1.46 (~(Y!0 = cell43)),
% 1.28/1.46 inference(modus_ponens,[status(thm)],[10167, 10164])).
% 1.28/1.46 tff(10169,plain,
% 1.28/1.46 ((~(X!1 = cell42)) | (~(Y!0 = cell43))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3632, 10168])).
% 1.28/1.47 tff(10170,plain,
% 1.28/1.47 ((cell44 = cell89) <=> (cell44 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10171,plain,
% 1.28/1.47 ((cell44 = cell89) <=> (Y!0 = cell44)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10170, 2835])).
% 1.28/1.47 tff(10172,plain,
% 1.28/1.47 ((~(cell44 = cell89)) <=> (~(Y!0 = cell44))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10171])).
% 1.28/1.47 tff(10173,plain,
% 1.28/1.47 ((~(cell44 = cell89)) <=> (~(cell44 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10174,axiom,(~(cell44 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48793')).
% 1.28/1.47 tff(10175,plain,
% 1.28/1.47 (~(cell44 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10174, 10173])).
% 1.28/1.47 tff(10176,plain,
% 1.28/1.47 (~(Y!0 = cell44)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10175, 10172])).
% 1.28/1.47 tff(10177,plain,
% 1.28/1.47 ((~(X!1 = cell43)) | (~(Y!0 = cell44))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3634, 10176])).
% 1.28/1.47 tff(10178,plain,
% 1.28/1.47 ((cell45 = cell89) <=> (cell45 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10179,plain,
% 1.28/1.47 ((cell45 = cell89) <=> (Y!0 = cell45)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10178, 2845])).
% 1.28/1.47 tff(10180,plain,
% 1.28/1.47 ((~(cell45 = cell89)) <=> (~(Y!0 = cell45))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10179])).
% 1.28/1.47 tff(10181,plain,
% 1.28/1.47 ((~(cell45 = cell89)) <=> (~(cell45 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10182,axiom,(~(cell45 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48745')).
% 1.28/1.47 tff(10183,plain,
% 1.28/1.47 (~(cell45 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10182, 10181])).
% 1.28/1.47 tff(10184,plain,
% 1.28/1.47 (~(Y!0 = cell45)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10183, 10180])).
% 1.28/1.47 tff(10185,plain,
% 1.28/1.47 ((~(X!1 = cell44)) | (~(Y!0 = cell45))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3636, 10184])).
% 1.28/1.47 tff(10186,plain,
% 1.28/1.47 ((cell46 = cell89) <=> (cell46 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10187,plain,
% 1.28/1.47 ((cell46 = cell89) <=> (Y!0 = cell46)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10186, 2855])).
% 1.28/1.47 tff(10188,plain,
% 1.28/1.47 ((~(cell46 = cell89)) <=> (~(Y!0 = cell46))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10187])).
% 1.28/1.47 tff(10189,plain,
% 1.28/1.47 ((~(cell46 = cell89)) <=> (~(cell46 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10190,axiom,(~(cell46 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48696')).
% 1.28/1.47 tff(10191,plain,
% 1.28/1.47 (~(cell46 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10190, 10189])).
% 1.28/1.47 tff(10192,plain,
% 1.28/1.47 (~(Y!0 = cell46)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10191, 10188])).
% 1.28/1.47 tff(10193,plain,
% 1.28/1.47 ((~(X!1 = cell45)) | (~(Y!0 = cell46))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3638, 10192])).
% 1.28/1.47 tff(10194,plain,
% 1.28/1.47 ((cell47 = cell89) <=> (cell47 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10195,plain,
% 1.28/1.47 ((cell47 = cell89) <=> (Y!0 = cell47)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10194, 2865])).
% 1.28/1.47 tff(10196,plain,
% 1.28/1.47 ((~(cell47 = cell89)) <=> (~(Y!0 = cell47))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10195])).
% 1.28/1.47 tff(10197,plain,
% 1.28/1.47 ((~(cell47 = cell89)) <=> (~(cell47 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10198,axiom,(~(cell47 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48646')).
% 1.28/1.47 tff(10199,plain,
% 1.28/1.47 (~(cell47 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10198, 10197])).
% 1.28/1.47 tff(10200,plain,
% 1.28/1.47 (~(Y!0 = cell47)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10199, 10196])).
% 1.28/1.47 tff(10201,plain,
% 1.28/1.47 ((~(X!1 = cell46)) | (~(Y!0 = cell47))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3640, 10200])).
% 1.28/1.47 tff(10202,plain,
% 1.28/1.47 ((cell48 = cell89) <=> (cell48 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10203,plain,
% 1.28/1.47 ((cell48 = cell89) <=> (Y!0 = cell48)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10202, 2875])).
% 1.28/1.47 tff(10204,plain,
% 1.28/1.47 ((~(cell48 = cell89)) <=> (~(Y!0 = cell48))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10203])).
% 1.28/1.47 tff(10205,plain,
% 1.28/1.47 ((~(cell48 = cell89)) <=> (~(cell48 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10206,axiom,(~(cell48 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48595')).
% 1.28/1.47 tff(10207,plain,
% 1.28/1.47 (~(cell48 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10206, 10205])).
% 1.28/1.47 tff(10208,plain,
% 1.28/1.47 (~(Y!0 = cell48)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10207, 10204])).
% 1.28/1.47 tff(10209,plain,
% 1.28/1.47 ((~(X!1 = cell47)) | (~(Y!0 = cell48))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3642, 10208])).
% 1.28/1.47 tff(10210,plain,
% 1.28/1.47 ((cell49 = cell89) <=> (cell49 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10211,plain,
% 1.28/1.47 ((cell49 = cell89) <=> (Y!0 = cell49)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10210, 2885])).
% 1.28/1.47 tff(10212,plain,
% 1.28/1.47 ((~(cell49 = cell89)) <=> (~(Y!0 = cell49))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10211])).
% 1.28/1.47 tff(10213,plain,
% 1.28/1.47 ((~(cell49 = cell89)) <=> (~(cell49 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10214,axiom,(~(cell49 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48543')).
% 1.28/1.47 tff(10215,plain,
% 1.28/1.47 (~(cell49 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10214, 10213])).
% 1.28/1.47 tff(10216,plain,
% 1.28/1.47 (~(Y!0 = cell49)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10215, 10212])).
% 1.28/1.47 tff(10217,plain,
% 1.28/1.47 ((~(X!1 = cell48)) | (~(Y!0 = cell49))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3644, 10216])).
% 1.28/1.47 tff(10218,plain,
% 1.28/1.47 ((cell50 = cell89) <=> (cell50 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10219,plain,
% 1.28/1.47 ((cell50 = cell89) <=> (Y!0 = cell50)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10218, 3434])).
% 1.28/1.47 tff(10220,plain,
% 1.28/1.47 ((~(cell50 = cell89)) <=> (~(Y!0 = cell50))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10219])).
% 1.28/1.47 tff(10221,plain,
% 1.28/1.47 ((~(cell50 = cell89)) <=> (~(cell50 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10222,axiom,(~(cell50 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48490')).
% 1.28/1.47 tff(10223,plain,
% 1.28/1.47 (~(cell50 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10222, 10221])).
% 1.28/1.47 tff(10224,plain,
% 1.28/1.47 (~(Y!0 = cell50)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10223, 10220])).
% 1.28/1.47 tff(10225,plain,
% 1.28/1.47 ((~(X!1 = cell49)) | (~(Y!0 = cell50))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3646, 10224])).
% 1.28/1.47 tff(10226,plain,
% 1.28/1.47 ((cell52 = cell89) <=> (cell52 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10227,plain,
% 1.28/1.47 ((cell52 = cell89) <=> (Y!0 = cell52)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10226, 2905])).
% 1.28/1.47 tff(10228,plain,
% 1.28/1.47 ((~(cell52 = cell89)) <=> (~(Y!0 = cell52))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10227])).
% 1.28/1.47 tff(10229,plain,
% 1.28/1.47 ((~(cell52 = cell89)) <=> (~(cell52 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10230,axiom,(~(cell52 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48436')).
% 1.28/1.47 tff(10231,plain,
% 1.28/1.47 (~(cell52 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10230, 10229])).
% 1.28/1.47 tff(10232,plain,
% 1.28/1.47 (~(Y!0 = cell52)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10231, 10228])).
% 1.28/1.47 tff(10233,plain,
% 1.28/1.47 ((~(X!1 = cell51)) | (~(Y!0 = cell52))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3648, 10232])).
% 1.28/1.47 tff(10234,plain,
% 1.28/1.47 ((cell53 = cell89) <=> (cell53 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10235,plain,
% 1.28/1.47 ((cell53 = cell89) <=> (Y!0 = cell53)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10234, 2915])).
% 1.28/1.47 tff(10236,plain,
% 1.28/1.47 ((~(cell53 = cell89)) <=> (~(Y!0 = cell53))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10235])).
% 1.28/1.47 tff(10237,plain,
% 1.28/1.47 ((~(cell53 = cell89)) <=> (~(cell53 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10238,axiom,(~(cell53 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48325')).
% 1.28/1.47 tff(10239,plain,
% 1.28/1.47 (~(cell53 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10238, 10237])).
% 1.28/1.47 tff(10240,plain,
% 1.28/1.47 (~(Y!0 = cell53)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10239, 10236])).
% 1.28/1.47 tff(10241,plain,
% 1.28/1.47 ((~(X!1 = cell52)) | (~(Y!0 = cell53))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3650, 10240])).
% 1.28/1.47 tff(10242,plain,
% 1.28/1.47 ((cell54 = cell89) <=> (cell54 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10243,plain,
% 1.28/1.47 ((cell54 = cell89) <=> (Y!0 = cell54)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10242, 2925])).
% 1.28/1.47 tff(10244,plain,
% 1.28/1.47 ((~(cell54 = cell89)) <=> (~(Y!0 = cell54))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10243])).
% 1.28/1.47 tff(10245,plain,
% 1.28/1.47 ((~(cell54 = cell89)) <=> (~(cell54 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10246,axiom,(~(cell54 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48268')).
% 1.28/1.47 tff(10247,plain,
% 1.28/1.47 (~(cell54 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10246, 10245])).
% 1.28/1.47 tff(10248,plain,
% 1.28/1.47 (~(Y!0 = cell54)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10247, 10244])).
% 1.28/1.47 tff(10249,plain,
% 1.28/1.47 ((~(X!1 = cell53)) | (~(Y!0 = cell54))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3652, 10248])).
% 1.28/1.47 tff(10250,plain,
% 1.28/1.47 ((cell55 = cell89) <=> (cell55 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10251,plain,
% 1.28/1.47 ((cell55 = cell89) <=> (Y!0 = cell55)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10250, 2935])).
% 1.28/1.47 tff(10252,plain,
% 1.28/1.47 ((~(cell55 = cell89)) <=> (~(Y!0 = cell55))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10251])).
% 1.28/1.47 tff(10253,plain,
% 1.28/1.47 ((~(cell55 = cell89)) <=> (~(cell55 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10254,axiom,(~(cell55 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48210')).
% 1.28/1.47 tff(10255,plain,
% 1.28/1.47 (~(cell55 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10254, 10253])).
% 1.28/1.47 tff(10256,plain,
% 1.28/1.47 (~(Y!0 = cell55)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10255, 10252])).
% 1.28/1.47 tff(10257,plain,
% 1.28/1.47 ((~(X!1 = cell54)) | (~(Y!0 = cell55))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3654, 10256])).
% 1.28/1.47 tff(10258,plain,
% 1.28/1.47 ((cell56 = cell89) <=> (cell56 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10259,plain,
% 1.28/1.47 ((cell56 = cell89) <=> (Y!0 = cell56)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10258, 2945])).
% 1.28/1.47 tff(10260,plain,
% 1.28/1.47 ((~(cell56 = cell89)) <=> (~(Y!0 = cell56))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10259])).
% 1.28/1.47 tff(10261,plain,
% 1.28/1.47 ((~(cell56 = cell89)) <=> (~(cell56 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10262,axiom,(~(cell56 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48151')).
% 1.28/1.47 tff(10263,plain,
% 1.28/1.47 (~(cell56 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10262, 10261])).
% 1.28/1.47 tff(10264,plain,
% 1.28/1.47 (~(Y!0 = cell56)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10263, 10260])).
% 1.28/1.47 tff(10265,plain,
% 1.28/1.47 ((~(X!1 = cell55)) | (~(Y!0 = cell56))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3656, 10264])).
% 1.28/1.47 tff(10266,plain,
% 1.28/1.47 ((cell57 = cell89) <=> (cell57 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10267,plain,
% 1.28/1.47 ((cell57 = cell89) <=> (Y!0 = cell57)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10266, 2955])).
% 1.28/1.47 tff(10268,plain,
% 1.28/1.47 ((~(cell57 = cell89)) <=> (~(Y!0 = cell57))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10267])).
% 1.28/1.47 tff(10269,plain,
% 1.28/1.47 ((~(cell57 = cell89)) <=> (~(cell57 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10270,axiom,(~(cell57 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48091')).
% 1.28/1.47 tff(10271,plain,
% 1.28/1.47 (~(cell57 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10270, 10269])).
% 1.28/1.47 tff(10272,plain,
% 1.28/1.47 (~(Y!0 = cell57)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10271, 10268])).
% 1.28/1.47 tff(10273,plain,
% 1.28/1.47 ((~(X!1 = cell56)) | (~(Y!0 = cell57))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3658, 10272])).
% 1.28/1.47 tff(10274,plain,
% 1.28/1.47 ((cell58 = cell89) <=> (cell58 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10275,plain,
% 1.28/1.47 ((cell58 = cell89) <=> (Y!0 = cell58)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10274, 2965])).
% 1.28/1.47 tff(10276,plain,
% 1.28/1.47 ((~(cell58 = cell89)) <=> (~(Y!0 = cell58))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10275])).
% 1.28/1.47 tff(10277,plain,
% 1.28/1.47 ((~(cell58 = cell89)) <=> (~(cell58 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10278,axiom,(~(cell58 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48030')).
% 1.28/1.47 tff(10279,plain,
% 1.28/1.47 (~(cell58 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10278, 10277])).
% 1.28/1.47 tff(10280,plain,
% 1.28/1.47 (~(Y!0 = cell58)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10279, 10276])).
% 1.28/1.47 tff(10281,plain,
% 1.28/1.47 ((~(X!1 = cell57)) | (~(Y!0 = cell58))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3660, 10280])).
% 1.28/1.47 tff(10282,plain,
% 1.28/1.47 ((cell59 = cell89) <=> (cell59 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10283,plain,
% 1.28/1.47 ((cell59 = cell89) <=> (Y!0 = cell59)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10282, 2975])).
% 1.28/1.47 tff(10284,plain,
% 1.28/1.47 ((~(cell59 = cell89)) <=> (~(Y!0 = cell59))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10283])).
% 1.28/1.47 tff(10285,plain,
% 1.28/1.47 ((~(cell59 = cell89)) <=> (~(cell59 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10286,axiom,(~(cell59 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47968')).
% 1.28/1.47 tff(10287,plain,
% 1.28/1.47 (~(cell59 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10286, 10285])).
% 1.28/1.47 tff(10288,plain,
% 1.28/1.47 (~(Y!0 = cell59)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10287, 10284])).
% 1.28/1.47 tff(10289,plain,
% 1.28/1.47 ((~(X!1 = cell58)) | (~(Y!0 = cell59))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3662, 10288])).
% 1.28/1.47 tff(10290,plain,
% 1.28/1.47 ((cell60 = cell89) <=> (cell60 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10291,plain,
% 1.28/1.47 ((cell60 = cell89) <=> (Y!0 = cell60)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10290, 3462])).
% 1.28/1.47 tff(10292,plain,
% 1.28/1.47 ((~(cell60 = cell89)) <=> (~(Y!0 = cell60))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10291])).
% 1.28/1.47 tff(10293,plain,
% 1.28/1.47 ((~(cell60 = cell89)) <=> (~(cell60 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10294,axiom,(~(cell60 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47905')).
% 1.28/1.47 tff(10295,plain,
% 1.28/1.47 (~(cell60 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10294, 10293])).
% 1.28/1.47 tff(10296,plain,
% 1.28/1.47 (~(Y!0 = cell60)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10295, 10292])).
% 1.28/1.47 tff(10297,plain,
% 1.28/1.47 ((~(X!1 = cell59)) | (~(Y!0 = cell60))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3664, 10296])).
% 1.28/1.47 tff(10298,plain,
% 1.28/1.47 ((cell62 = cell89) <=> (cell62 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10299,plain,
% 1.28/1.47 ((cell62 = cell89) <=> (Y!0 = cell62)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10298, 2995])).
% 1.28/1.47 tff(10300,plain,
% 1.28/1.47 ((~(cell62 = cell89)) <=> (~(Y!0 = cell62))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10299])).
% 1.28/1.47 tff(10301,plain,
% 1.28/1.47 ((~(cell62 = cell89)) <=> (~(cell62 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10302,axiom,(~(cell62 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47841')).
% 1.28/1.47 tff(10303,plain,
% 1.28/1.47 (~(cell62 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10302, 10301])).
% 1.28/1.47 tff(10304,plain,
% 1.28/1.47 (~(Y!0 = cell62)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10303, 10300])).
% 1.28/1.47 tff(10305,plain,
% 1.28/1.47 ((~(X!1 = cell61)) | (~(Y!0 = cell62))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3666, 10304])).
% 1.28/1.47 tff(10306,plain,
% 1.28/1.47 ((cell63 = cell89) <=> (cell63 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10307,plain,
% 1.28/1.47 ((cell63 = cell89) <=> (Y!0 = cell63)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10306, 3005])).
% 1.28/1.47 tff(10308,plain,
% 1.28/1.47 ((~(cell63 = cell89)) <=> (~(Y!0 = cell63))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10307])).
% 1.28/1.47 tff(10309,plain,
% 1.28/1.47 ((~(cell63 = cell89)) <=> (~(cell63 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10310,axiom,(~(cell63 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47710')).
% 1.28/1.47 tff(10311,plain,
% 1.28/1.47 (~(cell63 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10310, 10309])).
% 1.28/1.47 tff(10312,plain,
% 1.28/1.47 (~(Y!0 = cell63)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10311, 10308])).
% 1.28/1.47 tff(10313,plain,
% 1.28/1.47 ((~(X!1 = cell62)) | (~(Y!0 = cell63))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3668, 10312])).
% 1.28/1.47 tff(10314,plain,
% 1.28/1.47 ((cell64 = cell89) <=> (cell64 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10315,plain,
% 1.28/1.47 ((cell64 = cell89) <=> (Y!0 = cell64)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10314, 3015])).
% 1.28/1.47 tff(10316,plain,
% 1.28/1.47 ((~(cell64 = cell89)) <=> (~(Y!0 = cell64))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10315])).
% 1.28/1.47 tff(10317,plain,
% 1.28/1.47 ((~(cell64 = cell89)) <=> (~(cell64 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10318,axiom,(~(cell64 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47643')).
% 1.28/1.47 tff(10319,plain,
% 1.28/1.47 (~(cell64 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10318, 10317])).
% 1.28/1.47 tff(10320,plain,
% 1.28/1.47 (~(Y!0 = cell64)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10319, 10316])).
% 1.28/1.47 tff(10321,plain,
% 1.28/1.47 ((~(X!1 = cell63)) | (~(Y!0 = cell64))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3670, 10320])).
% 1.28/1.47 tff(10322,plain,
% 1.28/1.47 ((cell65 = cell89) <=> (cell65 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10323,plain,
% 1.28/1.47 ((cell65 = cell89) <=> (Y!0 = cell65)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10322, 3025])).
% 1.28/1.47 tff(10324,plain,
% 1.28/1.47 ((~(cell65 = cell89)) <=> (~(Y!0 = cell65))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10323])).
% 1.28/1.47 tff(10325,plain,
% 1.28/1.47 ((~(cell65 = cell89)) <=> (~(cell65 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10326,axiom,(~(cell65 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47575')).
% 1.28/1.47 tff(10327,plain,
% 1.28/1.47 (~(cell65 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10326, 10325])).
% 1.28/1.47 tff(10328,plain,
% 1.28/1.47 (~(Y!0 = cell65)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10327, 10324])).
% 1.28/1.47 tff(10329,plain,
% 1.28/1.47 ((~(X!1 = cell64)) | (~(Y!0 = cell65))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3672, 10328])).
% 1.28/1.47 tff(10330,plain,
% 1.28/1.47 ((cell66 = cell89) <=> (cell66 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10331,plain,
% 1.28/1.47 ((cell66 = cell89) <=> (Y!0 = cell66)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10330, 3035])).
% 1.28/1.47 tff(10332,plain,
% 1.28/1.47 ((~(cell66 = cell89)) <=> (~(Y!0 = cell66))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10331])).
% 1.28/1.47 tff(10333,plain,
% 1.28/1.47 ((~(cell66 = cell89)) <=> (~(cell66 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10334,axiom,(~(cell66 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47506')).
% 1.28/1.47 tff(10335,plain,
% 1.28/1.47 (~(cell66 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10334, 10333])).
% 1.28/1.47 tff(10336,plain,
% 1.28/1.47 (~(Y!0 = cell66)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10335, 10332])).
% 1.28/1.47 tff(10337,plain,
% 1.28/1.47 ((~(X!1 = cell65)) | (~(Y!0 = cell66))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3674, 10336])).
% 1.28/1.47 tff(10338,plain,
% 1.28/1.47 ((cell67 = cell89) <=> (cell67 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10339,plain,
% 1.28/1.47 ((cell67 = cell89) <=> (Y!0 = cell67)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10338, 3045])).
% 1.28/1.47 tff(10340,plain,
% 1.28/1.47 ((~(cell67 = cell89)) <=> (~(Y!0 = cell67))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10339])).
% 1.28/1.47 tff(10341,plain,
% 1.28/1.47 ((~(cell67 = cell89)) <=> (~(cell67 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10342,axiom,(~(cell67 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47436')).
% 1.28/1.47 tff(10343,plain,
% 1.28/1.47 (~(cell67 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10342, 10341])).
% 1.28/1.47 tff(10344,plain,
% 1.28/1.47 (~(Y!0 = cell67)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10343, 10340])).
% 1.28/1.47 tff(10345,plain,
% 1.28/1.47 ((~(X!1 = cell66)) | (~(Y!0 = cell67))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3676, 10344])).
% 1.28/1.47 tff(10346,plain,
% 1.28/1.47 ((cell68 = cell89) <=> (cell68 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10347,plain,
% 1.28/1.47 ((cell68 = cell89) <=> (Y!0 = cell68)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10346, 3055])).
% 1.28/1.47 tff(10348,plain,
% 1.28/1.47 ((~(cell68 = cell89)) <=> (~(Y!0 = cell68))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10347])).
% 1.28/1.47 tff(10349,plain,
% 1.28/1.47 ((~(cell68 = cell89)) <=> (~(cell68 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10350,axiom,(~(cell68 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47365')).
% 1.28/1.47 tff(10351,plain,
% 1.28/1.47 (~(cell68 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10350, 10349])).
% 1.28/1.47 tff(10352,plain,
% 1.28/1.47 (~(Y!0 = cell68)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10351, 10348])).
% 1.28/1.47 tff(10353,plain,
% 1.28/1.47 ((~(X!1 = cell67)) | (~(Y!0 = cell68))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3678, 10352])).
% 1.28/1.47 tff(10354,plain,
% 1.28/1.47 ((cell69 = cell89) <=> (cell69 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10355,plain,
% 1.28/1.47 ((cell69 = cell89) <=> (Y!0 = cell69)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10354, 3065])).
% 1.28/1.47 tff(10356,plain,
% 1.28/1.47 ((~(cell69 = cell89)) <=> (~(Y!0 = cell69))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10355])).
% 1.28/1.47 tff(10357,plain,
% 1.28/1.47 ((~(cell69 = cell89)) <=> (~(cell69 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10358,axiom,(~(cell69 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47293')).
% 1.28/1.47 tff(10359,plain,
% 1.28/1.47 (~(cell69 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10358, 10357])).
% 1.28/1.47 tff(10360,plain,
% 1.28/1.47 (~(Y!0 = cell69)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10359, 10356])).
% 1.28/1.47 tff(10361,plain,
% 1.28/1.47 ((~(X!1 = cell68)) | (~(Y!0 = cell69))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3680, 10360])).
% 1.28/1.47 tff(10362,plain,
% 1.28/1.47 ((cell70 = cell89) <=> (cell70 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10363,plain,
% 1.28/1.47 ((cell70 = cell89) <=> (Y!0 = cell70)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10362, 3490])).
% 1.28/1.47 tff(10364,plain,
% 1.28/1.47 ((~(cell70 = cell89)) <=> (~(Y!0 = cell70))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10363])).
% 1.28/1.47 tff(10365,plain,
% 1.28/1.47 ((~(cell70 = cell89)) <=> (~(cell70 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10366,axiom,(~(cell70 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47220')).
% 1.28/1.47 tff(10367,plain,
% 1.28/1.47 (~(cell70 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10366, 10365])).
% 1.28/1.47 tff(10368,plain,
% 1.28/1.47 (~(Y!0 = cell70)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10367, 10364])).
% 1.28/1.47 tff(10369,plain,
% 1.28/1.47 ((~(X!1 = cell69)) | (~(Y!0 = cell70))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3682, 10368])).
% 1.28/1.47 tff(10370,plain,
% 1.28/1.47 ((cell72 = cell89) <=> (cell72 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10371,plain,
% 1.28/1.47 ((cell72 = cell89) <=> (Y!0 = cell72)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10370, 3085])).
% 1.28/1.47 tff(10372,plain,
% 1.28/1.47 ((~(cell72 = cell89)) <=> (~(Y!0 = cell72))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10371])).
% 1.28/1.47 tff(10373,plain,
% 1.28/1.47 ((~(cell72 = cell89)) <=> (~(cell72 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10374,axiom,(~(cell72 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47146')).
% 1.28/1.47 tff(10375,plain,
% 1.28/1.47 (~(cell72 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10374, 10373])).
% 1.28/1.47 tff(10376,plain,
% 1.28/1.47 (~(Y!0 = cell72)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10375, 10372])).
% 1.28/1.47 tff(10377,plain,
% 1.28/1.47 ((~(X!1 = cell71)) | (~(Y!0 = cell72))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3684, 10376])).
% 1.28/1.47 tff(10378,plain,
% 1.28/1.47 ((cell73 = cell89) <=> (cell73 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10379,plain,
% 1.28/1.47 ((cell73 = cell89) <=> (Y!0 = cell73)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10378, 3095])).
% 1.28/1.47 tff(10380,plain,
% 1.28/1.47 ((~(cell73 = cell89)) <=> (~(Y!0 = cell73))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10379])).
% 1.28/1.47 tff(10381,plain,
% 1.28/1.47 ((~(cell73 = cell89)) <=> (~(cell73 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10382,axiom,(~(cell73 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46995')).
% 1.28/1.47 tff(10383,plain,
% 1.28/1.47 (~(cell73 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10382, 10381])).
% 1.28/1.47 tff(10384,plain,
% 1.28/1.47 (~(Y!0 = cell73)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10383, 10380])).
% 1.28/1.47 tff(10385,plain,
% 1.28/1.47 ((~(X!1 = cell72)) | (~(Y!0 = cell73))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3686, 10384])).
% 1.28/1.47 tff(10386,plain,
% 1.28/1.47 ((cell74 = cell89) <=> (cell74 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10387,plain,
% 1.28/1.47 ((cell74 = cell89) <=> (Y!0 = cell74)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10386, 3105])).
% 1.28/1.47 tff(10388,plain,
% 1.28/1.47 ((~(cell74 = cell89)) <=> (~(Y!0 = cell74))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10387])).
% 1.28/1.47 tff(10389,plain,
% 1.28/1.47 ((~(cell74 = cell89)) <=> (~(cell74 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10390,axiom,(~(cell74 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46918')).
% 1.28/1.47 tff(10391,plain,
% 1.28/1.47 (~(cell74 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10390, 10389])).
% 1.28/1.47 tff(10392,plain,
% 1.28/1.47 (~(Y!0 = cell74)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10391, 10388])).
% 1.28/1.47 tff(10393,plain,
% 1.28/1.47 ((~(X!1 = cell73)) | (~(Y!0 = cell74))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3688, 10392])).
% 1.28/1.47 tff(10394,plain,
% 1.28/1.47 ((cell75 = cell89) <=> (cell75 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10395,plain,
% 1.28/1.47 ((cell75 = cell89) <=> (Y!0 = cell75)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10394, 3115])).
% 1.28/1.47 tff(10396,plain,
% 1.28/1.47 ((~(cell75 = cell89)) <=> (~(Y!0 = cell75))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10395])).
% 1.28/1.47 tff(10397,plain,
% 1.28/1.47 ((~(cell75 = cell89)) <=> (~(cell75 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10398,axiom,(~(cell75 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46840')).
% 1.28/1.47 tff(10399,plain,
% 1.28/1.47 (~(cell75 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10398, 10397])).
% 1.28/1.47 tff(10400,plain,
% 1.28/1.47 (~(Y!0 = cell75)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10399, 10396])).
% 1.28/1.47 tff(10401,plain,
% 1.28/1.47 ((~(X!1 = cell74)) | (~(Y!0 = cell75))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3690, 10400])).
% 1.28/1.47 tff(10402,plain,
% 1.28/1.47 ((cell76 = cell89) <=> (cell76 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10403,plain,
% 1.28/1.47 ((cell76 = cell89) <=> (Y!0 = cell76)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10402, 3125])).
% 1.28/1.47 tff(10404,plain,
% 1.28/1.47 ((~(cell76 = cell89)) <=> (~(Y!0 = cell76))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10403])).
% 1.28/1.47 tff(10405,plain,
% 1.28/1.47 ((~(cell76 = cell89)) <=> (~(cell76 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10406,axiom,(~(cell76 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46761')).
% 1.28/1.47 tff(10407,plain,
% 1.28/1.47 (~(cell76 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10406, 10405])).
% 1.28/1.47 tff(10408,plain,
% 1.28/1.47 (~(Y!0 = cell76)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10407, 10404])).
% 1.28/1.47 tff(10409,plain,
% 1.28/1.47 ((~(X!1 = cell75)) | (~(Y!0 = cell76))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3692, 10408])).
% 1.28/1.47 tff(10410,plain,
% 1.28/1.47 ((cell77 = cell89) <=> (cell77 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10411,plain,
% 1.28/1.47 ((cell77 = cell89) <=> (Y!0 = cell77)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10410, 3135])).
% 1.28/1.47 tff(10412,plain,
% 1.28/1.47 ((~(cell77 = cell89)) <=> (~(Y!0 = cell77))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10411])).
% 1.28/1.47 tff(10413,plain,
% 1.28/1.47 ((~(cell77 = cell89)) <=> (~(cell77 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10414,axiom,(~(cell77 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46681')).
% 1.28/1.47 tff(10415,plain,
% 1.28/1.47 (~(cell77 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10414, 10413])).
% 1.28/1.47 tff(10416,plain,
% 1.28/1.47 (~(Y!0 = cell77)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10415, 10412])).
% 1.28/1.47 tff(10417,plain,
% 1.28/1.47 ((~(X!1 = cell76)) | (~(Y!0 = cell77))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3694, 10416])).
% 1.28/1.47 tff(10418,plain,
% 1.28/1.47 ((cell78 = cell89) <=> (cell78 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10419,plain,
% 1.28/1.47 ((cell78 = cell89) <=> (Y!0 = cell78)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10418, 3145])).
% 1.28/1.47 tff(10420,plain,
% 1.28/1.47 ((~(cell78 = cell89)) <=> (~(Y!0 = cell78))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10419])).
% 1.28/1.47 tff(10421,plain,
% 1.28/1.47 ((~(cell78 = cell89)) <=> (~(cell78 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10422,axiom,(~(cell78 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46600')).
% 1.28/1.47 tff(10423,plain,
% 1.28/1.47 (~(cell78 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10422, 10421])).
% 1.28/1.47 tff(10424,plain,
% 1.28/1.47 (~(Y!0 = cell78)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10423, 10420])).
% 1.28/1.47 tff(10425,plain,
% 1.28/1.47 ((~(X!1 = cell77)) | (~(Y!0 = cell78))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3696, 10424])).
% 1.28/1.47 tff(10426,plain,
% 1.28/1.47 ((cell80 = cell89) <=> (cell80 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10427,plain,
% 1.28/1.47 ((cell80 = cell89) <=> (Y!0 = cell80)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10426, 3518])).
% 1.28/1.47 tff(10428,plain,
% 1.28/1.47 ((~(cell80 = cell89)) <=> (~(Y!0 = cell80))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10427])).
% 1.28/1.47 tff(10429,plain,
% 1.28/1.47 ((~(cell80 = cell89)) <=> (~(cell80 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10430,axiom,(~(cell80 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46518')).
% 1.28/1.47 tff(10431,plain,
% 1.28/1.47 (~(cell80 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10430, 10429])).
% 1.28/1.47 tff(10432,plain,
% 1.28/1.47 (~(Y!0 = cell80)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10431, 10428])).
% 1.28/1.47 tff(10433,plain,
% 1.28/1.47 ((~(X!1 = cell79)) | (~(Y!0 = cell80))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3698, 10432])).
% 1.28/1.47 tff(10434,plain,
% 1.28/1.47 ((cell82 = cell89) <=> (cell82 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10435,plain,
% 1.28/1.47 ((cell82 = cell89) <=> (Y!0 = cell82)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10434, 3173])).
% 1.28/1.47 tff(10436,plain,
% 1.28/1.47 ((~(cell82 = cell89)) <=> (~(Y!0 = cell82))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10435])).
% 1.28/1.47 tff(10437,plain,
% 1.28/1.47 ((~(cell82 = cell89)) <=> (~(cell82 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10438,axiom,(~(cell82 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46435')).
% 1.28/1.47 tff(10439,plain,
% 1.28/1.47 (~(cell82 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10438, 10437])).
% 1.28/1.47 tff(10440,plain,
% 1.28/1.47 (~(Y!0 = cell82)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10439, 10436])).
% 1.28/1.47 tff(10441,plain,
% 1.28/1.47 ((~(X!1 = cell81)) | (~(Y!0 = cell82))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3700, 10440])).
% 1.28/1.47 tff(10442,plain,
% 1.28/1.47 ((cell83 = cell89) <=> (cell83 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10443,plain,
% 1.28/1.47 ((cell83 = cell89) <=> (Y!0 = cell83)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10442, 3183])).
% 1.28/1.47 tff(10444,plain,
% 1.28/1.47 ((~(cell83 = cell89)) <=> (~(Y!0 = cell83))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10443])).
% 1.28/1.47 tff(10445,plain,
% 1.28/1.47 ((~(cell83 = cell89)) <=> (~(cell83 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10446,axiom,(~(cell83 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46266')).
% 1.28/1.47 tff(10447,plain,
% 1.28/1.47 (~(cell83 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10446, 10445])).
% 1.28/1.47 tff(10448,plain,
% 1.28/1.47 (~(Y!0 = cell83)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10447, 10444])).
% 1.28/1.47 tff(10449,plain,
% 1.28/1.47 ((~(X!1 = cell82)) | (~(Y!0 = cell83))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3702, 10448])).
% 1.28/1.47 tff(10450,plain,
% 1.28/1.47 ((cell84 = cell89) <=> (cell84 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10451,plain,
% 1.28/1.47 ((cell84 = cell89) <=> (Y!0 = cell84)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10450, 3193])).
% 1.28/1.47 tff(10452,plain,
% 1.28/1.47 ((~(cell84 = cell89)) <=> (~(Y!0 = cell84))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10451])).
% 1.28/1.47 tff(10453,plain,
% 1.28/1.47 ((~(cell84 = cell89)) <=> (~(cell84 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10454,axiom,(~(cell84 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46180')).
% 1.28/1.47 tff(10455,plain,
% 1.28/1.47 (~(cell84 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10454, 10453])).
% 1.28/1.47 tff(10456,plain,
% 1.28/1.47 (~(Y!0 = cell84)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10455, 10452])).
% 1.28/1.47 tff(10457,plain,
% 1.28/1.47 ((~(X!1 = cell83)) | (~(Y!0 = cell84))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3704, 10456])).
% 1.28/1.47 tff(10458,plain,
% 1.28/1.47 ((cell85 = cell89) <=> (cell85 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10459,plain,
% 1.28/1.47 ((cell85 = cell89) <=> (Y!0 = cell85)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10458, 3203])).
% 1.28/1.47 tff(10460,plain,
% 1.28/1.47 ((~(cell85 = cell89)) <=> (~(Y!0 = cell85))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10459])).
% 1.28/1.47 tff(10461,plain,
% 1.28/1.47 ((~(cell85 = cell89)) <=> (~(cell85 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10462,axiom,(~(cell85 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46093')).
% 1.28/1.47 tff(10463,plain,
% 1.28/1.47 (~(cell85 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10462, 10461])).
% 1.28/1.47 tff(10464,plain,
% 1.28/1.47 (~(Y!0 = cell85)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10463, 10460])).
% 1.28/1.47 tff(10465,plain,
% 1.28/1.47 ((~(X!1 = cell84)) | (~(Y!0 = cell85))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3706, 10464])).
% 1.28/1.47 tff(10466,plain,
% 1.28/1.47 ((cell86 = cell89) <=> (cell86 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10467,plain,
% 1.28/1.47 ((cell86 = cell89) <=> (Y!0 = cell86)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10466, 3213])).
% 1.28/1.47 tff(10468,plain,
% 1.28/1.47 ((~(cell86 = cell89)) <=> (~(Y!0 = cell86))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10467])).
% 1.28/1.47 tff(10469,plain,
% 1.28/1.47 ((~(cell86 = cell89)) <=> (~(cell86 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10470,axiom,(~(cell86 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46005')).
% 1.28/1.47 tff(10471,plain,
% 1.28/1.47 (~(cell86 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10470, 10469])).
% 1.28/1.47 tff(10472,plain,
% 1.28/1.47 (~(Y!0 = cell86)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10471, 10468])).
% 1.28/1.47 tff(10473,plain,
% 1.28/1.47 ((~(X!1 = cell85)) | (~(Y!0 = cell86))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3708, 10472])).
% 1.28/1.47 tff(10474,plain,
% 1.28/1.47 ((cell87 = cell89) <=> (cell87 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10475,plain,
% 1.28/1.47 ((cell87 = cell89) <=> (Y!0 = cell87)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10474, 3223])).
% 1.28/1.47 tff(10476,plain,
% 1.28/1.47 ((~(cell87 = cell89)) <=> (~(Y!0 = cell87))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10475])).
% 1.28/1.47 tff(10477,plain,
% 1.28/1.47 ((~(cell87 = cell89)) <=> (~(cell87 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10478,axiom,(~(cell87 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45916')).
% 1.28/1.47 tff(10479,plain,
% 1.28/1.47 (~(cell87 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10478, 10477])).
% 1.28/1.47 tff(10480,plain,
% 1.28/1.47 (~(Y!0 = cell87)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10479, 10476])).
% 1.28/1.47 tff(10481,plain,
% 1.28/1.47 ((~(X!1 = cell86)) | (~(Y!0 = cell87))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3710, 10480])).
% 1.28/1.47 tff(10482,plain,
% 1.28/1.47 ((cell89 = cell88) <=> (Y!0 = cell88)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10483,plain,
% 1.28/1.47 ((~(cell89 = cell88)) <=> (~(Y!0 = cell88))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10482])).
% 1.28/1.47 tff(10484,plain,
% 1.28/1.47 (~(Y!0 = cell88)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[9444, 10483])).
% 1.28/1.47 tff(10485,plain,
% 1.28/1.47 ((~(X!1 = cell78)) | (~(Y!0 = cell88))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3885, 10484])).
% 1.28/1.47 tff(10486,plain,
% 1.28/1.47 ((~(Y!0 = cell85)) | (~(X!1 = cell95))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3536, 10464])).
% 1.28/1.47 tff(10487,assumption,(cell22 = X!1), introduced(assumption)).
% 1.28/1.47 tff(10488,plain,
% 1.28/1.47 ((cell99 = cell22) <=> (cell99 = X!1)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10487])).
% 1.28/1.47 tff(10489,plain,
% 1.28/1.47 ((cell99 = cell22) <=> (X!1 = cell99)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10488, 225])).
% 1.28/1.47 tff(10490,plain,
% 1.28/1.47 ((~(cell99 = cell22)) <=> (~(X!1 = cell99))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10489])).
% 1.28/1.47 tff(10491,plain,
% 1.28/1.47 (~(X!1 = cell99)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[2020, 10490])).
% 1.28/1.47 tff(10492,plain,
% 1.28/1.47 ((~(Y!0 = cell89)) | (~(X!1 = cell99))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[1347, 10491])).
% 1.28/1.47 tff(10493,plain,
% 1.28/1.47 ((cell92 = cell89) <=> (cell92 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10494,plain,
% 1.28/1.47 ((cell92 = cell89) <=> (Y!0 = cell92)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10493, 2408])).
% 1.28/1.47 tff(10495,plain,
% 1.28/1.47 ((~(cell92 = cell89)) <=> (~(Y!0 = cell92))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10494])).
% 1.28/1.47 tff(10496,plain,
% 1.28/1.47 ((~(cell92 = cell89)) <=> (~(cell92 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10497,axiom,(~(cell92 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45826')).
% 1.28/1.47 tff(10498,plain,
% 1.28/1.47 (~(cell92 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10497, 10496])).
% 1.28/1.47 tff(10499,plain,
% 1.28/1.47 (~(Y!0 = cell92)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10498, 10495])).
% 1.28/1.47 tff(10500,plain,
% 1.28/1.47 ((~(X!1 = cell91)) | (~(Y!0 = cell92))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3716, 10499])).
% 1.28/1.47 tff(10501,plain,
% 1.28/1.47 ((cell93 = cell89) <=> (cell93 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10502,plain,
% 1.28/1.47 ((cell93 = cell89) <=> (Y!0 = cell93)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10501, 2418])).
% 1.28/1.47 tff(10503,plain,
% 1.28/1.47 ((~(cell93 = cell89)) <=> (~(Y!0 = cell93))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10502])).
% 1.28/1.47 tff(10504,plain,
% 1.28/1.47 ((~(cell93 = cell89)) <=> (~(cell93 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10505,axiom,(~(cell93 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45643')).
% 1.28/1.47 tff(10506,plain,
% 1.28/1.47 (~(cell93 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10505, 10504])).
% 1.28/1.47 tff(10507,plain,
% 1.28/1.47 (~(Y!0 = cell93)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10506, 10503])).
% 1.28/1.47 tff(10508,plain,
% 1.28/1.47 ((~(X!1 = cell92)) | (~(Y!0 = cell93))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3718, 10507])).
% 1.28/1.47 tff(10509,plain,
% 1.28/1.47 ((cell94 = cell89) <=> (cell94 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10510,plain,
% 1.28/1.47 ((cell94 = cell89) <=> (Y!0 = cell94)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10509, 2428])).
% 1.28/1.47 tff(10511,plain,
% 1.28/1.47 ((~(cell94 = cell89)) <=> (~(Y!0 = cell94))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10510])).
% 1.28/1.47 tff(10512,plain,
% 1.28/1.47 ((~(cell94 = cell89)) <=> (~(cell94 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10513,axiom,(~(cell94 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45550')).
% 1.28/1.47 tff(10514,plain,
% 1.28/1.47 (~(cell94 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10513, 10512])).
% 1.28/1.47 tff(10515,plain,
% 1.28/1.47 (~(Y!0 = cell94)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10514, 10511])).
% 1.28/1.47 tff(10516,plain,
% 1.28/1.47 ((~(X!1 = cell93)) | (~(Y!0 = cell94))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3720, 10515])).
% 1.28/1.47 tff(10517,plain,
% 1.28/1.47 ((cell95 = cell89) <=> (cell95 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10518,plain,
% 1.28/1.47 ((cell95 = cell89) <=> (Y!0 = cell95)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10517, 2438])).
% 1.28/1.47 tff(10519,plain,
% 1.28/1.47 ((~(cell95 = cell89)) <=> (~(Y!0 = cell95))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10518])).
% 1.28/1.47 tff(10520,plain,
% 1.28/1.47 ((~(cell95 = cell89)) <=> (~(cell95 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10521,axiom,(~(cell95 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45456')).
% 1.28/1.47 tff(10522,plain,
% 1.28/1.47 (~(cell95 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10521, 10520])).
% 1.28/1.47 tff(10523,plain,
% 1.28/1.47 (~(Y!0 = cell95)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10522, 10519])).
% 1.28/1.47 tff(10524,plain,
% 1.28/1.47 ((~(X!1 = cell94)) | (~(Y!0 = cell95))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3722, 10523])).
% 1.28/1.47 tff(10525,plain,
% 1.28/1.47 ((~(X!1 = cell95)) | (~(Y!0 = cell96))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3724, 9886])).
% 1.28/1.47 tff(10526,plain,
% 1.28/1.47 ((cell97 = cell89) <=> (cell97 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10527,plain,
% 1.28/1.47 ((cell97 = cell89) <=> (Y!0 = cell97)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10526, 2457])).
% 1.28/1.47 tff(10528,plain,
% 1.28/1.47 ((~(cell97 = cell89)) <=> (~(Y!0 = cell97))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10527])).
% 1.28/1.47 tff(10529,plain,
% 1.28/1.47 ((~(cell97 = cell89)) <=> (~(cell97 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10530,axiom,(~(cell97 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45265')).
% 1.28/1.47 tff(10531,plain,
% 1.28/1.47 (~(cell97 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10530, 10529])).
% 1.28/1.47 tff(10532,plain,
% 1.28/1.47 (~(Y!0 = cell97)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10531, 10528])).
% 1.28/1.47 tff(10533,plain,
% 1.28/1.47 ((~(X!1 = cell96)) | (~(Y!0 = cell97))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3726, 10532])).
% 1.28/1.47 tff(10534,plain,
% 1.28/1.47 ((cell98 = cell89) <=> (cell98 = Y!0)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10535,plain,
% 1.28/1.47 ((cell98 = cell89) <=> (Y!0 = cell98)),
% 1.28/1.47 inference(transitivity,[status(thm)],[10534, 2467])).
% 1.28/1.47 tff(10536,plain,
% 1.28/1.47 ((~(cell98 = cell89)) <=> (~(Y!0 = cell98))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10535])).
% 1.28/1.47 tff(10537,plain,
% 1.28/1.47 ((~(cell98 = cell89)) <=> (~(cell98 = cell89))),
% 1.28/1.47 inference(rewrite,[status(thm)],[])).
% 1.28/1.47 tff(10538,axiom,(~(cell98 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45168')).
% 1.28/1.47 tff(10539,plain,
% 1.28/1.47 (~(cell98 = cell89)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10538, 10537])).
% 1.28/1.47 tff(10540,plain,
% 1.28/1.47 (~(Y!0 = cell98)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[10539, 10536])).
% 1.28/1.47 tff(10541,plain,
% 1.28/1.47 ((~(X!1 = cell97)) | (~(Y!0 = cell98))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3728, 10540])).
% 1.28/1.47 tff(10542,plain,
% 1.28/1.47 ((~(X!1 = cell87)) | (~(Y!0 = cell97))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3730, 10532])).
% 1.28/1.47 tff(10543,plain,
% 1.28/1.47 ((~(X!1 = cell99)) | (~(Y!0 = cell100))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3732, 9958])).
% 1.28/1.47 tff(10544,plain,
% 1.28/1.47 ((cell89 = cell11) <=> (Y!0 = cell11)),
% 1.28/1.47 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.47 tff(10545,plain,
% 1.28/1.47 ((~(cell89 = cell11)) <=> (~(Y!0 = cell11))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[10544])).
% 1.28/1.47 tff(10546,plain,
% 1.28/1.47 (~(Y!0 = cell11)),
% 1.28/1.47 inference(modus_ponens,[status(thm)],[3249, 10545])).
% 1.28/1.47 tff(10547,plain,
% 1.28/1.47 ((~(X!1 = cell1)) | (~(Y!0 = cell11))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3734, 10546])).
% 1.28/1.47 tff(10548,plain,
% 1.28/1.47 ((~(Y!0 = cell86)) | (~(X!1 = cell96))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3538, 10472])).
% 1.28/1.47 tff(10549,plain,
% 1.28/1.47 ((~(X!1 = cell3)) | (~(Y!0 = cell13))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3738, 9962])).
% 1.28/1.47 tff(10550,plain,
% 1.28/1.47 ((~(X!1 = cell4)) | (~(Y!0 = cell14))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3740, 9967])).
% 1.28/1.47 tff(10551,plain,
% 1.28/1.47 ((~(X!1 = cell5)) | (~(Y!0 = cell15))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3742, 9975])).
% 1.28/1.47 tff(10552,plain,
% 1.28/1.47 ((~(X!1 = cell6)) | (~(Y!0 = cell16))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3744, 9983])).
% 1.28/1.47 tff(10553,plain,
% 1.28/1.47 ((~(X!1 = cell7)) | (~(Y!0 = cell17))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3746, 9991])).
% 1.28/1.47 tff(10554,plain,
% 1.28/1.47 ((~(X!1 = cell8)) | (~(Y!0 = cell18))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3748, 9999])).
% 1.28/1.47 tff(10555,plain,
% 1.28/1.47 ((~(X!1 = cell9)) | (~(Y!0 = cell19))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3750, 10007])).
% 1.28/1.47 tff(10556,plain,
% 1.28/1.47 ((~(X!1 = cell10)) | (~(Y!0 = cell20))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3752, 10015])).
% 1.28/1.47 tff(10557,plain,
% 1.28/1.47 ((~(X!1 = cell88)) | (~(Y!0 = cell98))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[3754, 10540])).
% 1.28/1.47 tff(10558,plain,
% 1.28/1.47 ((~(X!1 = cell12)) | (~(Y!0 = cell22))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[2074, 10019])).
% 1.28/1.47 tff(10559,plain,
% 1.28/1.47 ((~(X!1 = cell13)) | (~(Y!0 = cell23))),
% 1.28/1.47 inference(unit_resolution,[status(thm)],[1632, 10024])).
% 1.28/1.47 tff(10560,plain,
% 1.28/1.48 ((~(X!1 = cell14)) | (~(Y!0 = cell24))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3758, 10032])).
% 1.28/1.48 tff(10561,plain,
% 1.28/1.48 ((~(X!1 = cell15)) | (~(Y!0 = cell25))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3760, 10040])).
% 1.28/1.48 tff(10562,plain,
% 1.28/1.48 ((~(X!1 = cell16)) | (~(Y!0 = cell26))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3762, 10048])).
% 1.28/1.48 tff(10563,plain,
% 1.28/1.48 ((~(X!1 = cell17)) | (~(Y!0 = cell27))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3764, 10056])).
% 1.28/1.48 tff(10564,plain,
% 1.28/1.48 ((~(X!1 = cell18)) | (~(Y!0 = cell28))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3766, 10064])).
% 1.28/1.48 tff(10565,plain,
% 1.28/1.48 ((~(X!1 = cell19)) | (~(Y!0 = cell29))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3768, 10072])).
% 1.28/1.48 tff(10566,plain,
% 1.28/1.48 ((~(X!1 = cell20)) | (~(Y!0 = cell30))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3770, 10080])).
% 1.28/1.48 tff(10567,plain,
% 1.28/1.48 ((cell31 = cell89) <=> (cell31 = Y!0)),
% 1.28/1.48 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.48 tff(10568,plain,
% 1.28/1.48 ((cell31 = cell89) <=> (Y!0 = cell31)),
% 1.28/1.48 inference(transitivity,[status(thm)],[10567, 2715])).
% 1.28/1.48 tff(10569,plain,
% 1.28/1.48 ((~(cell31 = cell89)) <=> (~(Y!0 = cell31))),
% 1.28/1.48 inference(monotonicity,[status(thm)],[10568])).
% 1.28/1.48 tff(10570,plain,
% 1.28/1.48 ((~(cell31 = cell89)) <=> (~(cell31 = cell89))),
% 1.28/1.48 inference(rewrite,[status(thm)],[])).
% 1.28/1.48 tff(10571,axiom,(~(cell31 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49291')).
% 1.28/1.48 tff(10572,plain,
% 1.28/1.48 (~(cell31 = cell89)),
% 1.28/1.48 inference(modus_ponens,[status(thm)],[10571, 10570])).
% 1.28/1.48 tff(10573,plain,
% 1.28/1.48 (~(Y!0 = cell31)),
% 1.28/1.48 inference(modus_ponens,[status(thm)],[10572, 10569])).
% 1.28/1.48 tff(10574,plain,
% 1.28/1.48 ((~(X!1 = cell21)) | (~(Y!0 = cell31))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3772, 10573])).
% 1.28/1.48 tff(10575,plain,
% 1.28/1.48 ((~(X!1 = cell22)) | (~(Y!0 = cell32))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3774, 10088])).
% 1.28/1.48 tff(10576,plain,
% 1.28/1.48 ((~(X!1 = cell23)) | (~(Y!0 = cell33))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3776, 10096])).
% 1.28/1.48 tff(10577,plain,
% 1.28/1.48 ((~(X!1 = cell24)) | (~(Y!0 = cell34))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3778, 10104])).
% 1.28/1.48 tff(10578,plain,
% 1.28/1.48 ((~(X!1 = cell25)) | (~(Y!0 = cell35))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3780, 10112])).
% 1.28/1.48 tff(10579,plain,
% 1.28/1.48 ((~(X!1 = cell26)) | (~(Y!0 = cell36))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3782, 10120])).
% 1.28/1.48 tff(10580,plain,
% 1.28/1.48 ((~(X!1 = cell27)) | (~(Y!0 = cell37))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3784, 10128])).
% 1.28/1.48 tff(10581,plain,
% 1.28/1.48 ((~(X!1 = cell28)) | (~(Y!0 = cell38))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3786, 10136])).
% 1.28/1.48 tff(10582,plain,
% 1.28/1.48 ((~(X!1 = cell29)) | (~(Y!0 = cell39))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3788, 10144])).
% 1.28/1.48 tff(10583,plain,
% 1.28/1.48 ((~(X!1 = cell30)) | (~(Y!0 = cell40))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3790, 10152])).
% 1.28/1.48 tff(10584,plain,
% 1.28/1.48 ((cell41 = cell89) <=> (cell41 = Y!0)),
% 1.28/1.48 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.48 tff(10585,plain,
% 1.28/1.48 ((cell41 = cell89) <=> (Y!0 = cell41)),
% 1.28/1.48 inference(transitivity,[status(thm)],[10584, 2805])).
% 1.28/1.48 tff(10586,plain,
% 1.28/1.48 ((~(cell41 = cell89)) <=> (~(Y!0 = cell41))),
% 1.28/1.48 inference(monotonicity,[status(thm)],[10585])).
% 1.28/1.48 tff(10587,plain,
% 1.28/1.48 ((~(cell41 = cell89)) <=> (~(cell41 = cell89))),
% 1.28/1.48 inference(rewrite,[status(thm)],[])).
% 1.28/1.48 tff(10588,axiom,(~(cell41 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48886')).
% 1.28/1.48 tff(10589,plain,
% 1.28/1.48 (~(cell41 = cell89)),
% 1.28/1.48 inference(modus_ponens,[status(thm)],[10588, 10587])).
% 1.28/1.48 tff(10590,plain,
% 1.28/1.48 (~(Y!0 = cell41)),
% 1.28/1.48 inference(modus_ponens,[status(thm)],[10589, 10586])).
% 1.28/1.48 tff(10591,plain,
% 1.28/1.48 ((~(X!1 = cell31)) | (~(Y!0 = cell41))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3792, 10590])).
% 1.28/1.48 tff(10592,plain,
% 1.28/1.48 ((~(X!1 = cell32)) | (~(Y!0 = cell42))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3794, 10160])).
% 1.28/1.48 tff(10593,plain,
% 1.28/1.48 ((~(X!1 = cell33)) | (~(Y!0 = cell43))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3796, 10168])).
% 1.28/1.48 tff(10594,plain,
% 1.28/1.48 ((~(X!1 = cell34)) | (~(Y!0 = cell44))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3798, 10176])).
% 1.28/1.48 tff(10595,plain,
% 1.28/1.48 ((~(X!1 = cell35)) | (~(Y!0 = cell45))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3800, 10184])).
% 1.28/1.48 tff(10596,plain,
% 1.28/1.48 ((~(X!1 = cell36)) | (~(Y!0 = cell46))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3802, 10192])).
% 1.28/1.48 tff(10597,plain,
% 1.28/1.48 ((~(X!1 = cell37)) | (~(Y!0 = cell47))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3804, 10200])).
% 1.28/1.48 tff(10598,plain,
% 1.28/1.48 ((~(X!1 = cell38)) | (~(Y!0 = cell48))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3806, 10208])).
% 1.28/1.48 tff(10599,plain,
% 1.28/1.48 ((~(X!1 = cell39)) | (~(Y!0 = cell49))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3808, 10216])).
% 1.28/1.48 tff(10600,plain,
% 1.28/1.48 ((~(X!1 = cell40)) | (~(Y!0 = cell50))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3810, 10224])).
% 1.28/1.48 tff(10601,plain,
% 1.28/1.48 ((cell51 = cell89) <=> (cell51 = Y!0)),
% 1.28/1.48 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.48 tff(10602,plain,
% 1.28/1.48 ((cell51 = cell89) <=> (Y!0 = cell51)),
% 1.28/1.48 inference(transitivity,[status(thm)],[10601, 2895])).
% 1.28/1.48 tff(10603,plain,
% 1.28/1.48 ((~(cell51 = cell89)) <=> (~(Y!0 = cell51))),
% 1.28/1.48 inference(monotonicity,[status(thm)],[10602])).
% 1.28/1.48 tff(10604,plain,
% 1.28/1.48 ((~(cell51 = cell89)) <=> (~(cell51 = cell89))),
% 1.28/1.48 inference(rewrite,[status(thm)],[])).
% 1.28/1.48 tff(10605,axiom,(~(cell51 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48381')).
% 1.28/1.48 tff(10606,plain,
% 1.28/1.48 (~(cell51 = cell89)),
% 1.28/1.48 inference(modus_ponens,[status(thm)],[10605, 10604])).
% 1.28/1.48 tff(10607,plain,
% 1.28/1.48 (~(Y!0 = cell51)),
% 1.28/1.48 inference(modus_ponens,[status(thm)],[10606, 10603])).
% 1.28/1.48 tff(10608,plain,
% 1.28/1.48 ((~(X!1 = cell41)) | (~(Y!0 = cell51))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3812, 10607])).
% 1.28/1.48 tff(10609,plain,
% 1.28/1.48 ((~(X!1 = cell42)) | (~(Y!0 = cell52))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3814, 10232])).
% 1.28/1.48 tff(10610,plain,
% 1.28/1.48 ((~(X!1 = cell43)) | (~(Y!0 = cell53))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3816, 10240])).
% 1.28/1.48 tff(10611,plain,
% 1.28/1.48 ((~(X!1 = cell44)) | (~(Y!0 = cell54))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3818, 10248])).
% 1.28/1.48 tff(10612,plain,
% 1.28/1.48 ((~(X!1 = cell45)) | (~(Y!0 = cell55))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3820, 10256])).
% 1.28/1.48 tff(10613,plain,
% 1.28/1.48 ((~(X!1 = cell46)) | (~(Y!0 = cell56))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3822, 10264])).
% 1.28/1.48 tff(10614,plain,
% 1.28/1.48 ((~(X!1 = cell47)) | (~(Y!0 = cell57))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3824, 10272])).
% 1.28/1.48 tff(10615,plain,
% 1.28/1.48 ((~(X!1 = cell48)) | (~(Y!0 = cell58))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3826, 10280])).
% 1.28/1.48 tff(10616,plain,
% 1.28/1.48 ((~(X!1 = cell49)) | (~(Y!0 = cell59))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3828, 10288])).
% 1.28/1.48 tff(10617,plain,
% 1.28/1.48 ((~(X!1 = cell50)) | (~(Y!0 = cell60))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3830, 10296])).
% 1.28/1.48 tff(10618,plain,
% 1.28/1.48 ((cell61 = cell89) <=> (cell61 = Y!0)),
% 1.28/1.48 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.48 tff(10619,plain,
% 1.28/1.48 ((cell61 = cell89) <=> (Y!0 = cell61)),
% 1.28/1.48 inference(transitivity,[status(thm)],[10618, 2985])).
% 1.28/1.48 tff(10620,plain,
% 1.28/1.48 ((~(cell61 = cell89)) <=> (~(Y!0 = cell61))),
% 1.28/1.48 inference(monotonicity,[status(thm)],[10619])).
% 1.28/1.48 tff(10621,plain,
% 1.28/1.48 ((~(cell61 = cell89)) <=> (~(cell61 = cell89))),
% 1.28/1.48 inference(rewrite,[status(thm)],[])).
% 1.28/1.48 tff(10622,axiom,(~(cell61 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47776')).
% 1.28/1.48 tff(10623,plain,
% 1.28/1.48 (~(cell61 = cell89)),
% 1.28/1.48 inference(modus_ponens,[status(thm)],[10622, 10621])).
% 1.28/1.48 tff(10624,plain,
% 1.28/1.48 (~(Y!0 = cell61)),
% 1.28/1.48 inference(modus_ponens,[status(thm)],[10623, 10620])).
% 1.28/1.48 tff(10625,plain,
% 1.28/1.48 ((~(X!1 = cell51)) | (~(Y!0 = cell61))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3832, 10624])).
% 1.28/1.48 tff(10626,plain,
% 1.28/1.48 ((~(X!1 = cell52)) | (~(Y!0 = cell62))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3834, 10304])).
% 1.28/1.48 tff(10627,plain,
% 1.28/1.48 ((~(X!1 = cell53)) | (~(Y!0 = cell63))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3836, 10312])).
% 1.28/1.48 tff(10628,plain,
% 1.28/1.48 ((~(X!1 = cell54)) | (~(Y!0 = cell64))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3838, 10320])).
% 1.28/1.48 tff(10629,plain,
% 1.28/1.48 ((~(X!1 = cell55)) | (~(Y!0 = cell65))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3840, 10328])).
% 1.28/1.48 tff(10630,plain,
% 1.28/1.48 ((~(X!1 = cell56)) | (~(Y!0 = cell66))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3842, 10336])).
% 1.28/1.48 tff(10631,plain,
% 1.28/1.48 ((~(X!1 = cell57)) | (~(Y!0 = cell67))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3844, 10344])).
% 1.28/1.48 tff(10632,plain,
% 1.28/1.48 ((~(X!1 = cell58)) | (~(Y!0 = cell68))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3846, 10352])).
% 1.28/1.48 tff(10633,plain,
% 1.28/1.48 ((~(X!1 = cell59)) | (~(Y!0 = cell69))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3848, 10360])).
% 1.28/1.48 tff(10634,plain,
% 1.28/1.48 ((~(X!1 = cell60)) | (~(Y!0 = cell70))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3850, 10368])).
% 1.28/1.48 tff(10635,plain,
% 1.28/1.48 ((cell71 = cell89) <=> (cell71 = Y!0)),
% 1.28/1.48 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.48 tff(10636,plain,
% 1.28/1.48 ((cell71 = cell89) <=> (Y!0 = cell71)),
% 1.28/1.48 inference(transitivity,[status(thm)],[10635, 3075])).
% 1.28/1.48 tff(10637,plain,
% 1.28/1.48 ((~(cell71 = cell89)) <=> (~(Y!0 = cell71))),
% 1.28/1.48 inference(monotonicity,[status(thm)],[10636])).
% 1.28/1.48 tff(10638,plain,
% 1.28/1.48 ((~(cell71 = cell89)) <=> (~(cell71 = cell89))),
% 1.28/1.48 inference(rewrite,[status(thm)],[])).
% 1.28/1.48 tff(10639,axiom,(~(cell71 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47071')).
% 1.28/1.48 tff(10640,plain,
% 1.28/1.48 (~(cell71 = cell89)),
% 1.28/1.48 inference(modus_ponens,[status(thm)],[10639, 10638])).
% 1.28/1.48 tff(10641,plain,
% 1.28/1.48 (~(Y!0 = cell71)),
% 1.28/1.48 inference(modus_ponens,[status(thm)],[10640, 10637])).
% 1.28/1.48 tff(10642,plain,
% 1.28/1.48 ((~(X!1 = cell61)) | (~(Y!0 = cell71))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3852, 10641])).
% 1.28/1.48 tff(10643,plain,
% 1.28/1.48 ((~(X!1 = cell62)) | (~(Y!0 = cell72))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3854, 10376])).
% 1.28/1.48 tff(10644,plain,
% 1.28/1.48 ((~(X!1 = cell63)) | (~(Y!0 = cell73))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3856, 10384])).
% 1.28/1.48 tff(10645,plain,
% 1.28/1.48 ((~(X!1 = cell64)) | (~(Y!0 = cell74))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3858, 10392])).
% 1.28/1.48 tff(10646,plain,
% 1.28/1.48 ((~(X!1 = cell65)) | (~(Y!0 = cell75))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3860, 10400])).
% 1.28/1.48 tff(10647,plain,
% 1.28/1.48 ((~(X!1 = cell66)) | (~(Y!0 = cell76))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3862, 10408])).
% 1.28/1.48 tff(10648,plain,
% 1.28/1.48 ((~(X!1 = cell67)) | (~(Y!0 = cell77))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3864, 10416])).
% 1.28/1.48 tff(10649,plain,
% 1.28/1.48 ((~(X!1 = cell68)) | (~(Y!0 = cell78))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3866, 10424])).
% 1.28/1.48 tff(10650,plain,
% 1.28/1.48 ((cell89 = cell12) <=> (Y!0 = cell12)),
% 1.28/1.48 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.48 tff(10651,plain,
% 1.28/1.48 ((~(cell89 = cell12)) <=> (~(Y!0 = cell12))),
% 1.28/1.48 inference(monotonicity,[status(thm)],[10650])).
% 1.28/1.48 tff(10652,plain,
% 1.28/1.48 (~(Y!0 = cell12)),
% 1.28/1.48 inference(modus_ponens,[status(thm)],[2173, 10651])).
% 1.28/1.48 tff(10653,plain,
% 1.28/1.48 ((~(X!1 = cell11)) | (~(Y!0 = cell12))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[2119, 10652])).
% 1.28/1.48 tff(10654,plain,
% 1.28/1.48 ((~(X!1 = cell70)) | (~(Y!0 = cell80))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3869, 10432])).
% 1.28/1.48 tff(10655,plain,
% 1.28/1.48 ((cell81 = cell89) <=> (cell81 = Y!0)),
% 1.28/1.48 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.48 tff(10656,plain,
% 1.28/1.48 ((cell81 = cell89) <=> (Y!0 = cell81)),
% 1.28/1.48 inference(transitivity,[status(thm)],[10655, 3163])).
% 1.28/1.48 tff(10657,plain,
% 1.28/1.48 ((~(cell81 = cell89)) <=> (~(Y!0 = cell81))),
% 1.28/1.48 inference(monotonicity,[status(thm)],[10656])).
% 1.28/1.48 tff(10658,plain,
% 1.28/1.48 ((~(cell81 = cell89)) <=> (~(cell81 = cell89))),
% 1.28/1.48 inference(rewrite,[status(thm)],[])).
% 1.28/1.48 tff(10659,axiom,(~(cell81 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46351')).
% 1.28/1.48 tff(10660,plain,
% 1.28/1.48 (~(cell81 = cell89)),
% 1.28/1.48 inference(modus_ponens,[status(thm)],[10659, 10658])).
% 1.28/1.48 tff(10661,plain,
% 1.28/1.48 (~(Y!0 = cell81)),
% 1.28/1.48 inference(modus_ponens,[status(thm)],[10660, 10657])).
% 1.28/1.48 tff(10662,plain,
% 1.28/1.48 ((~(X!1 = cell71)) | (~(Y!0 = cell81))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3871, 10661])).
% 1.28/1.48 tff(10663,plain,
% 1.28/1.48 ((~(X!1 = cell72)) | (~(Y!0 = cell82))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3873, 10440])).
% 1.28/1.48 tff(10664,plain,
% 1.28/1.48 ((~(X!1 = cell73)) | (~(Y!0 = cell83))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3875, 10448])).
% 1.28/1.48 tff(10665,plain,
% 1.28/1.48 ((~(X!1 = cell74)) | (~(Y!0 = cell84))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3877, 10456])).
% 1.28/1.48 tff(10666,plain,
% 1.28/1.48 ((~(X!1 = cell75)) | (~(Y!0 = cell85))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3879, 10464])).
% 1.28/1.48 tff(10667,plain,
% 1.28/1.48 ((~(X!1 = cell76)) | (~(Y!0 = cell86))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3881, 10472])).
% 1.28/1.48 tff(10668,plain,
% 1.28/1.48 ((~(X!1 = cell77)) | (~(Y!0 = cell87))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3883, 10480])).
% 1.28/1.48 tff(10669,assumption,(patient(cell88)), introduced(assumption)).
% 1.28/1.48 tff(10670,plain,
% 1.28/1.48 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell88 = cell2) | (~patient(cell2)) | (~patient(cell88)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell88 = cell2) | (~patient(cell2)) | (~patient(cell88)))),
% 1.28/1.48 inference(rewrite,[status(thm)],[])).
% 1.28/1.48 tff(10671,plain,
% 1.28/1.48 (((cell88 = cell2) | (~patient(cell88)) | (~patient(cell2))) <=> ((cell88 = cell2) | (~patient(cell2)) | (~patient(cell88)))),
% 1.28/1.48 inference(rewrite,[status(thm)],[])).
% 1.28/1.48 tff(10672,plain,
% 1.28/1.48 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell88 = cell2) | (~patient(cell88)) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell88 = cell2) | (~patient(cell2)) | (~patient(cell88))))),
% 1.28/1.48 inference(monotonicity,[status(thm)],[10671])).
% 1.28/1.48 tff(10673,plain,
% 1.28/1.48 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell88 = cell2) | (~patient(cell88)) | (~patient(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell88 = cell2) | (~patient(cell2)) | (~patient(cell88)))),
% 1.28/1.48 inference(transitivity,[status(thm)],[10672, 10670])).
% 1.28/1.48 tff(10674,plain,
% 1.28/1.48 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell88 = cell2) | (~patient(cell88)) | (~patient(cell2)))),
% 1.28/1.48 inference(quant_inst,[status(thm)],[])).
% 1.28/1.48 tff(10675,plain,
% 1.28/1.48 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell88 = cell2) | (~patient(cell2)) | (~patient(cell88))),
% 1.28/1.48 inference(modus_ponens,[status(thm)],[10674, 10673])).
% 1.28/1.48 tff(10676,plain,
% 1.28/1.48 ($false),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[10675, 3912, 23, 8856, 10669])).
% 1.28/1.48 tff(10677,plain,((~patient(cell2)) | (~patient(cell88))), inference(lemma,lemma(discharge,[]))).
% 1.28/1.48 tff(10678,plain,
% 1.28/1.48 (~patient(cell2)),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[10677, 10669])).
% 1.28/1.48 tff(10679,plain,
% 1.28/1.48 (patient(cell22)),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3276, 10678, 2388, 2387, 3904])).
% 1.28/1.48 tff(10680,plain,
% 1.28/1.48 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell88 = cell22) | (~patient(cell22)) | (~patient(cell88)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell88 = cell22) | (~patient(cell22)) | (~patient(cell88)))),
% 1.28/1.48 inference(rewrite,[status(thm)],[])).
% 1.28/1.48 tff(10681,plain,
% 1.28/1.48 (((cell88 = cell22) | (~patient(cell88)) | (~patient(cell22))) <=> ((cell88 = cell22) | (~patient(cell22)) | (~patient(cell88)))),
% 1.28/1.48 inference(rewrite,[status(thm)],[])).
% 1.28/1.48 tff(10682,plain,
% 1.28/1.48 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell88 = cell22) | (~patient(cell88)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell88 = cell22) | (~patient(cell22)) | (~patient(cell88))))),
% 1.28/1.48 inference(monotonicity,[status(thm)],[10681])).
% 1.28/1.48 tff(10683,plain,
% 1.28/1.48 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell88 = cell22) | (~patient(cell88)) | (~patient(cell22)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell88 = cell22) | (~patient(cell22)) | (~patient(cell88)))),
% 1.28/1.48 inference(transitivity,[status(thm)],[10682, 10680])).
% 1.28/1.48 tff(10684,plain,
% 1.28/1.48 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell88 = cell22) | (~patient(cell88)) | (~patient(cell22)))),
% 1.28/1.48 inference(quant_inst,[status(thm)],[])).
% 1.28/1.48 tff(10685,plain,
% 1.28/1.48 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell88 = cell22) | (~patient(cell22)) | (~patient(cell88))),
% 1.28/1.48 inference(modus_ponens,[status(thm)],[10684, 10683])).
% 1.28/1.48 tff(10686,plain,
% 1.28/1.48 ($false),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[10685, 10679, 23, 2059, 10669])).
% 1.28/1.48 tff(10687,plain,((~patient(cell88)) | patient(cell13) | patient(cell12) | patient(cell11)), inference(lemma,lemma(discharge,[]))).
% 1.28/1.48 tff(10688,plain,
% 1.28/1.48 (~patient(cell88)),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[10687, 3904, 2387, 2388])).
% 1.28/1.48 tff(10689,assumption,(X!1 = cell88), introduced(assumption)).
% 1.28/1.48 tff(10690,plain,
% 1.28/1.48 (cell88 = X!1),
% 1.28/1.48 inference(symmetry,[status(thm)],[10689])).
% 1.28/1.48 tff(10691,plain,
% 1.28/1.48 (patient(cell88) <=> patient(X!1)),
% 1.28/1.48 inference(monotonicity,[status(thm)],[10690])).
% 1.28/1.48 tff(10692,plain,
% 1.28/1.48 (patient(X!1) <=> patient(cell88)),
% 1.28/1.48 inference(symmetry,[status(thm)],[10691])).
% 1.28/1.48 tff(10693,plain,
% 1.28/1.48 (patient(cell88)),
% 1.28/1.48 inference(modus_ponens,[status(thm)],[10, 10692])).
% 1.28/1.48 tff(10694,assumption,(~patient(cell88)), introduced(assumption)).
% 1.28/1.48 tff(10695,plain,
% 1.28/1.48 ($false),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[10694, 10693])).
% 1.28/1.48 tff(10696,plain,(patient(cell88) | (~(X!1 = cell88))), inference(lemma,lemma(discharge,[]))).
% 1.28/1.48 tff(10697,plain,
% 1.28/1.48 (~(X!1 = cell88)),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[10696, 10688])).
% 1.28/1.48 tff(10698,plain,
% 1.28/1.48 ((~(X!1 = cell88)) | (~(Y!0 = cell89))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[923, 10697])).
% 1.28/1.48 tff(10699,plain,
% 1.28/1.48 ((cell89 = cell99) <=> (Y!0 = cell99)),
% 1.28/1.48 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.48 tff(10700,plain,
% 1.28/1.48 ((~(cell89 = cell99)) <=> (~(Y!0 = cell99))),
% 1.28/1.48 inference(monotonicity,[status(thm)],[10699])).
% 1.28/1.48 tff(10701,plain,
% 1.28/1.48 (~(Y!0 = cell99)),
% 1.28/1.48 inference(modus_ponens,[status(thm)],[4817, 10700])).
% 1.28/1.48 tff(10702,plain,
% 1.28/1.48 ((~(X!1 = cell98)) | (~(Y!0 = cell99))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3889, 10701])).
% 1.28/1.48 tff(10703,plain,
% 1.28/1.48 ((cell91 = cell89) <=> (cell91 = Y!0)),
% 1.28/1.48 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.48 tff(10704,plain,
% 1.28/1.48 ((cell91 = cell89) <=> (Y!0 = cell91)),
% 1.28/1.48 inference(transitivity,[status(thm)],[10703, 2398])).
% 1.28/1.48 tff(10705,plain,
% 1.28/1.48 ((~(cell91 = cell89)) <=> (~(Y!0 = cell91))),
% 1.28/1.48 inference(monotonicity,[status(thm)],[10704])).
% 1.28/1.48 tff(10706,plain,
% 1.28/1.48 ((~(cell91 = cell89)) <=> (~(cell91 = cell89))),
% 1.28/1.48 inference(rewrite,[status(thm)],[])).
% 1.28/1.48 tff(10707,axiom,(~(cell91 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45735')).
% 1.28/1.48 tff(10708,plain,
% 1.28/1.48 (~(cell91 = cell89)),
% 1.28/1.48 inference(modus_ponens,[status(thm)],[10707, 10706])).
% 1.28/1.48 tff(10709,plain,
% 1.28/1.48 (~(Y!0 = cell91)),
% 1.28/1.48 inference(modus_ponens,[status(thm)],[10708, 10705])).
% 1.28/1.48 tff(10710,plain,
% 1.28/1.48 ((~(X!1 = cell81)) | (~(Y!0 = cell91))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3891, 10709])).
% 1.28/1.48 tff(10711,plain,
% 1.28/1.48 ((~(X!1 = cell82)) | (~(Y!0 = cell92))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3893, 10499])).
% 1.28/1.48 tff(10712,plain,
% 1.28/1.48 ((~(X!1 = cell83)) | (~(Y!0 = cell93))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3895, 10507])).
% 1.28/1.48 tff(10713,plain,
% 1.28/1.48 ((~(X!1 = cell84)) | (~(Y!0 = cell94))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3897, 10515])).
% 1.28/1.48 tff(10714,plain,
% 1.28/1.48 ((~(X!1 = cell85)) | (~(Y!0 = cell95))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3899, 10523])).
% 1.28/1.48 tff(10715,plain,
% 1.28/1.48 ((cell21 = cell89) <=> (cell21 = Y!0)),
% 1.28/1.48 inference(monotonicity,[status(thm)],[9879])).
% 1.28/1.48 tff(10716,plain,
% 1.28/1.48 ((cell21 = cell89) <=> (Y!0 = cell21)),
% 1.28/1.48 inference(transitivity,[status(thm)],[10715, 2109])).
% 1.28/1.48 tff(10717,plain,
% 1.28/1.48 ((~(cell21 = cell89)) <=> (~(Y!0 = cell21))),
% 1.28/1.48 inference(monotonicity,[status(thm)],[10716])).
% 1.28/1.48 tff(10718,plain,
% 1.28/1.48 ((~(cell21 = cell89)) <=> (~(cell21 = cell89))),
% 1.28/1.48 inference(rewrite,[status(thm)],[])).
% 1.28/1.48 tff(10719,axiom,(~(cell21 = cell89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49596')).
% 1.28/1.48 tff(10720,plain,
% 1.28/1.48 (~(cell21 = cell89)),
% 1.28/1.48 inference(modus_ponens,[status(thm)],[10719, 10718])).
% 1.28/1.48 tff(10721,plain,
% 1.28/1.48 (~(Y!0 = cell21)),
% 1.28/1.48 inference(modus_ponens,[status(thm)],[10720, 10717])).
% 1.28/1.48 tff(10722,plain,
% 1.28/1.48 ((~(X!1 = cell11)) | (~(Y!0 = cell21))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[2117, 10721])).
% 1.28/1.48 tff(10723,plain,
% 1.28/1.48 ((~(X!1 = cell92)) | (~(Y!0 = cell91))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[2406, 10709])).
% 1.28/1.48 tff(10724,plain,
% 1.28/1.48 ((~(X!1 = cell93)) | (~(Y!0 = cell92))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[2416, 10499])).
% 1.28/1.48 tff(10725,plain,
% 1.28/1.48 ((~(X!1 = cell94)) | (~(Y!0 = cell93))),
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2436, 10515])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2446, 10523])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2455, 9886])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2465, 10532])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2475, 10540])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3548, 9894])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3540, 10480])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2495, 9890])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2511, 9902])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2521, 9910])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2531, 9918])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2541, 9926])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2551, 9934])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2561, 9942])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2569, 10546])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2003, 10652])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2578, 9962])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2584, 9967])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2594, 9975])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2604, 9983])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2614, 9991])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2624, 9999])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2634, 10007])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2643, 10721])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2673, 10040])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2683, 10048])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2693, 10056])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2703, 10064])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2813, 10590])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2823, 10160])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2843, 10176])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2973, 10280])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3023, 10320])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3033, 10328])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3043, 10336])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3063, 10352])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3073, 10360])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3133, 10408])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3231, 10480])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3308, 9890])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3311, 9902])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3313, 9910])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3315, 9918])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3317, 9926])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3319, 9934])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3321, 9942])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3331, 9950])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3333, 10546])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3335, 10652])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3337, 9962])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3339, 9967])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3341, 9975])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3343, 9983])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3345, 9991])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3347, 9999])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3349, 10007])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3359, 10015])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3361, 10721])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[2078, 10019])).
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3364, 10024])).
% 1.28/1.48 tff(10831,plain,
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% 1.28/1.48 inference(unit_resolution,[status(thm)],[3366, 10032])).
% 1.28/1.48 tff(10832,plain,
% 1.28/1.48 ((~(Y!0 = cell25)) | (~(X!1 = cell35))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3368, 10040])).
% 1.28/1.48 tff(10833,plain,
% 1.28/1.48 ((~(Y!0 = cell26)) | (~(X!1 = cell36))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3370, 10048])).
% 1.28/1.48 tff(10834,plain,
% 1.28/1.48 ((~(Y!0 = cell27)) | (~(X!1 = cell37))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3372, 10056])).
% 1.28/1.48 tff(10835,plain,
% 1.28/1.48 ((~(Y!0 = cell28)) | (~(X!1 = cell38))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3374, 10064])).
% 1.28/1.48 tff(10836,plain,
% 1.28/1.48 ((~(Y!0 = cell29)) | (~(X!1 = cell39))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3376, 10072])).
% 1.28/1.48 tff(10837,plain,
% 1.28/1.48 ((~(Y!0 = cell30)) | (~(X!1 = cell40))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3386, 10080])).
% 1.28/1.48 tff(10838,plain,
% 1.28/1.48 ((~(Y!0 = cell31)) | (~(X!1 = cell41))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3388, 10573])).
% 1.28/1.48 tff(10839,plain,
% 1.28/1.48 ((~(Y!0 = cell32)) | (~(X!1 = cell42))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3390, 10088])).
% 1.28/1.48 tff(10840,plain,
% 1.28/1.48 ((~(Y!0 = cell33)) | (~(X!1 = cell43))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3392, 10096])).
% 1.28/1.48 tff(10841,plain,
% 1.28/1.48 ((~(Y!0 = cell34)) | (~(X!1 = cell44))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3394, 10104])).
% 1.28/1.48 tff(10842,plain,
% 1.28/1.48 ((~(Y!0 = cell35)) | (~(X!1 = cell45))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3396, 10112])).
% 1.28/1.48 tff(10843,plain,
% 1.28/1.48 ((~(Y!0 = cell36)) | (~(X!1 = cell46))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3398, 10120])).
% 1.28/1.48 tff(10844,plain,
% 1.28/1.48 ((~(Y!0 = cell37)) | (~(X!1 = cell47))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3400, 10128])).
% 1.28/1.48 tff(10845,plain,
% 1.28/1.48 ((~(Y!0 = cell38)) | (~(X!1 = cell48))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3402, 10136])).
% 1.28/1.48 tff(10846,plain,
% 1.28/1.48 ((~(Y!0 = cell39)) | (~(X!1 = cell49))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3404, 10144])).
% 1.28/1.48 tff(10847,plain,
% 1.28/1.48 ((~(Y!0 = cell40)) | (~(X!1 = cell50))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3414, 10152])).
% 1.28/1.48 tff(10848,plain,
% 1.28/1.48 ((~(Y!0 = cell41)) | (~(X!1 = cell51))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3416, 10590])).
% 1.28/1.48 tff(10849,plain,
% 1.28/1.48 ((~(Y!0 = cell42)) | (~(X!1 = cell52))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3418, 10160])).
% 1.28/1.48 tff(10850,plain,
% 1.28/1.48 ((~(Y!0 = cell43)) | (~(X!1 = cell53))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3420, 10168])).
% 1.28/1.48 tff(10851,plain,
% 1.28/1.48 ((~(Y!0 = cell44)) | (~(X!1 = cell54))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3422, 10176])).
% 1.28/1.48 tff(10852,plain,
% 1.28/1.48 ((~(Y!0 = cell45)) | (~(X!1 = cell55))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3424, 10184])).
% 1.28/1.48 tff(10853,plain,
% 1.28/1.48 ((~(Y!0 = cell46)) | (~(X!1 = cell56))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3426, 10192])).
% 1.28/1.48 tff(10854,plain,
% 1.28/1.48 ((~(Y!0 = cell47)) | (~(X!1 = cell57))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3428, 10200])).
% 1.28/1.48 tff(10855,plain,
% 1.28/1.48 ((~(Y!0 = cell48)) | (~(X!1 = cell58))),
% 1.28/1.48 inference(unit_resolution,[status(thm)],[3430, 10208])).
% 1.28/1.49 tff(10856,plain,
% 1.28/1.49 ((~(Y!0 = cell49)) | (~(X!1 = cell59))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3432, 10216])).
% 1.28/1.49 tff(10857,plain,
% 1.28/1.49 ((~(Y!0 = cell50)) | (~(X!1 = cell60))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3442, 10224])).
% 1.28/1.49 tff(10858,plain,
% 1.28/1.49 ((~(Y!0 = cell51)) | (~(X!1 = cell61))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3444, 10607])).
% 1.28/1.49 tff(10859,plain,
% 1.28/1.49 ((~(Y!0 = cell52)) | (~(X!1 = cell62))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3446, 10232])).
% 1.28/1.49 tff(10860,plain,
% 1.28/1.49 ((~(Y!0 = cell53)) | (~(X!1 = cell63))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3448, 10240])).
% 1.28/1.49 tff(10861,plain,
% 1.28/1.49 ((~(Y!0 = cell54)) | (~(X!1 = cell64))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3450, 10248])).
% 1.28/1.49 tff(10862,plain,
% 1.28/1.49 ((~(Y!0 = cell55)) | (~(X!1 = cell65))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3452, 10256])).
% 1.28/1.49 tff(10863,plain,
% 1.28/1.49 ((~(Y!0 = cell56)) | (~(X!1 = cell66))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3454, 10264])).
% 1.28/1.49 tff(10864,plain,
% 1.28/1.49 ((~(Y!0 = cell57)) | (~(X!1 = cell67))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3456, 10272])).
% 1.28/1.49 tff(10865,plain,
% 1.28/1.49 ((~(Y!0 = cell58)) | (~(X!1 = cell68))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3458, 10280])).
% 1.28/1.49 tff(10866,plain,
% 1.28/1.49 ((~(Y!0 = cell59)) | (~(X!1 = cell69))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3460, 10288])).
% 1.28/1.49 tff(10867,plain,
% 1.28/1.49 ((~(Y!0 = cell60)) | (~(X!1 = cell70))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3470, 10296])).
% 1.28/1.49 tff(10868,plain,
% 1.28/1.49 ((~(Y!0 = cell61)) | (~(X!1 = cell71))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3472, 10624])).
% 1.28/1.49 tff(10869,plain,
% 1.28/1.49 ((~(Y!0 = cell62)) | (~(X!1 = cell72))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3474, 10304])).
% 1.28/1.49 tff(10870,plain,
% 1.28/1.49 ((~(Y!0 = cell63)) | (~(X!1 = cell73))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3476, 10312])).
% 1.28/1.49 tff(10871,plain,
% 1.28/1.49 ((~(Y!0 = cell64)) | (~(X!1 = cell74))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3478, 10320])).
% 1.28/1.49 tff(10872,plain,
% 1.28/1.49 ((~(Y!0 = cell65)) | (~(X!1 = cell75))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3480, 10328])).
% 1.28/1.49 tff(10873,plain,
% 1.28/1.49 ((~(Y!0 = cell66)) | (~(X!1 = cell76))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3482, 10336])).
% 1.28/1.49 tff(10874,plain,
% 1.28/1.49 ((~(Y!0 = cell67)) | (~(X!1 = cell77))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3484, 10344])).
% 1.28/1.49 tff(10875,plain,
% 1.28/1.49 ((~(Y!0 = cell68)) | (~(X!1 = cell78))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3486, 10352])).
% 1.28/1.49 tff(10876,plain,
% 1.28/1.49 ((~(Y!0 = cell69)) | (~(X!1 = cell79))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3488, 10360])).
% 1.28/1.49 tff(10877,plain,
% 1.28/1.49 ((~(Y!0 = cell70)) | (~(X!1 = cell80))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3498, 10368])).
% 1.28/1.49 tff(10878,plain,
% 1.28/1.49 ((~(Y!0 = cell71)) | (~(X!1 = cell81))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3500, 10641])).
% 1.28/1.49 tff(10879,plain,
% 1.28/1.49 ((~(Y!0 = cell72)) | (~(X!1 = cell82))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3502, 10376])).
% 1.28/1.49 tff(10880,plain,
% 1.28/1.49 ((~(Y!0 = cell73)) | (~(X!1 = cell83))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3504, 10384])).
% 1.28/1.49 tff(10881,plain,
% 1.28/1.49 ((~(Y!0 = cell74)) | (~(X!1 = cell84))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3506, 10392])).
% 1.28/1.49 tff(10882,plain,
% 1.28/1.49 ((~(Y!0 = cell75)) | (~(X!1 = cell85))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3508, 10400])).
% 1.28/1.49 tff(10883,plain,
% 1.28/1.49 ((~(Y!0 = cell76)) | (~(X!1 = cell86))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3510, 10408])).
% 1.28/1.49 tff(10884,plain,
% 1.28/1.49 ((~(Y!0 = cell77)) | (~(X!1 = cell87))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3512, 10416])).
% 1.28/1.49 tff(10885,plain,
% 1.28/1.49 ((~(Y!0 = cell78)) | (~(X!1 = cell88))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3514, 10424])).
% 1.28/1.49 tff(10886,plain,
% 1.28/1.49 ((~(Y!0 = cell84)) | (~(X!1 = cell94))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3534, 10456])).
% 1.28/1.49 tff(10887,plain,
% 1.28/1.49 ((~(Y!0 = cell80)) | (~(X!1 = cell90))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3526, 10432])).
% 1.28/1.49 tff(10888,plain,
% 1.28/1.49 ((~(Y!0 = cell81)) | (~(X!1 = cell91))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3528, 10661])).
% 1.28/1.49 tff(10889,plain,
% 1.28/1.49 ((~(Y!0 = cell82)) | (~(X!1 = cell92))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3530, 10440])).
% 1.28/1.49 tff(10890,plain,
% 1.28/1.49 ((~(Y!0 = cell83)) | (~(X!1 = cell93))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3532, 10448])).
% 1.28/1.49 tff(10891,plain,
% 1.28/1.49 ((~(X!1 = cell2)) | (~(Y!0 = cell12))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3736, 10652])).
% 1.28/1.49 tff(10892,plain,
% 1.28/1.49 ((cell79 = cell22) <=> (cell79 = X!1)),
% 1.28/1.49 inference(monotonicity,[status(thm)],[10487])).
% 1.28/1.49 tff(10893,plain,
% 1.28/1.49 ((cell79 = cell22) <=> (X!1 = cell79)),
% 1.28/1.49 inference(transitivity,[status(thm)],[10892, 851])).
% 1.28/1.49 tff(10894,plain,
% 1.28/1.49 ((~(cell79 = cell22)) <=> (~(X!1 = cell79))),
% 1.28/1.49 inference(monotonicity,[status(thm)],[10893])).
% 1.28/1.49 tff(10895,plain,
% 1.28/1.49 (~(X!1 = cell79)),
% 1.28/1.49 inference(modus_ponens,[status(thm)],[2044, 10894])).
% 1.28/1.49 tff(10896,plain,
% 1.28/1.49 ((~(X!1 = cell79)) | (~(Y!0 = cell89))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[991, 10895])).
% 1.28/1.49 tff(10897,plain,
% 1.28/1.49 ((cell90 = cell22) <=> (cell90 = X!1)),
% 1.28/1.49 inference(monotonicity,[status(thm)],[10487])).
% 1.28/1.49 tff(10898,plain,
% 1.28/1.49 ((cell90 = cell22) <=> (X!1 = cell90)),
% 1.28/1.49 inference(transitivity,[status(thm)],[10897, 125])).
% 1.28/1.49 tff(10899,plain,
% 1.28/1.49 ((~(cell90 = cell22)) <=> (~(X!1 = cell90))),
% 1.28/1.49 inference(monotonicity,[status(thm)],[10898])).
% 1.28/1.49 tff(10900,plain,
% 1.28/1.49 (~(X!1 = cell90)),
% 1.28/1.49 inference(modus_ponens,[status(thm)],[2033, 10899])).
% 1.28/1.49 tff(10901,plain,
% 1.28/1.49 ((~(Y!0 = cell89)) | (~(X!1 = cell90))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[1343, 10900])).
% 1.28/1.49 tff(10902,plain,
% 1.28/1.49 ($false),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[9837, 10901, 10896, 2387, 2388, 10891, 10890, 10889, 10888, 10887, 10886, 10885, 10884, 10883, 10882, 10881, 10880, 10879, 10878, 10877, 10876, 10875, 10874, 10873, 10872, 10871, 10870, 10869, 10868, 10867, 10866, 10865, 10864, 10863, 10862, 10861, 10860, 10859, 10858, 10857, 10856, 10855, 10854, 10853, 10852, 10851, 10850, 10849, 10848, 10847, 10846, 10845, 10844, 10843, 10842, 10841, 10840, 10839, 10838, 10837, 10836, 10835, 10834, 10833, 10832, 10831, 10830, 10829, 10828, 10827, 10826, 10825, 10824, 10823, 10822, 10821, 10820, 10819, 10818, 10817, 10816, 10815, 10814, 10813, 10812, 10811, 10810, 3904, 10809, 10808, 10807, 10806, 10805, 10804, 10803, 10802, 10801, 10800, 10799, 10798, 10797, 10796, 10795, 10794, 10793, 10792, 10791, 10790, 10789, 10788, 10787, 10786, 10785, 10784, 10783, 10782, 10781, 10780, 10779, 10778, 10777, 10776, 10775, 10774, 10773, 10772, 10771, 10770, 10769, 10768, 10767, 10766, 10765, 10764, 10763, 10762, 10761, 10760, 10759, 10758, 10757, 10756, 10755, 10754, 10753, 10752, 10751, 10750, 10749, 10748, 10747, 10746, 10745, 10744, 10743, 10742, 10741, 10740, 10739, 10738, 10737, 10736, 10735, 10734, 10733, 10732, 10731, 10730, 10729, 10728, 10727, 10726, 10725, 10724, 10723, 10722, 9895, 10714, 10713, 10712, 10711, 10710, 10702, 10698, 10668, 10667, 10666, 10665, 10664, 10663, 10662, 10654, 10653, 10649, 10648, 10647, 10646, 10645, 10644, 10643, 10642, 10634, 10633, 10632, 10631, 10630, 10629, 10628, 10627, 10626, 10625, 10617, 10616, 10615, 10614, 10613, 10612, 10611, 10610, 10609, 10608, 10600, 10599, 10598, 10597, 10596, 10595, 10594, 10593, 10592, 10591, 10583, 10582, 10581, 10580, 10579, 10578, 10577, 10576, 10575, 10574, 10566, 10565, 10564, 10563, 10562, 10561, 10560, 10559, 10558, 10557, 10556, 10555, 10554, 10553, 10552, 10551, 10550, 10549, 10548, 10547, 10543, 10542, 10541, 10533, 10525, 10524, 10516, 10508, 10500, 10492, 10481, 10473, 10465, 10457, 10449, 10441, 10433, 10425, 10417, 10409, 10401, 10393, 10385, 10377, 10369, 10361, 10353, 10345, 10337, 10329, 10321, 10313, 10305, 10297, 10289, 10281, 10273, 10265, 10257, 10249, 10241, 10233, 10225, 10217, 10209, 10201, 10193, 10185, 10177, 10169, 10161, 10153, 10145, 10137, 10129, 10121, 10113, 10105, 10097, 10089, 10081, 10073, 10065, 10057, 10049, 10041, 10033, 10025, 10020, 10016, 10008, 10000, 9992, 9984, 9976, 9968, 9963, 9959, 9951, 9943, 9935, 9927, 9919, 9911, 9903, 10486, 9891, 9887])).
% 1.28/1.49 tff(10903,plain,((~(cell22 = X!1)) | patient(cell12) | patient(cell13) | patient(cell11)), inference(lemma,lemma(discharge,[]))).
% 1.28/1.49 tff(10904,plain,
% 1.28/1.49 (~(cell22 = X!1)),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[10903, 3904, 2388, 2387])).
% 1.28/1.49 tff(10905,plain,
% 1.28/1.49 ((~(X!1 = cell87)) | (~(Y!0 = cell88))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[3712, 10484])).
% 1.28/1.49 tff(10906,plain,
% 1.28/1.49 ((~(Y!0 = cell88)) | (~(X!1 = cell98))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[2485, 10484])).
% 1.28/1.49 tff(10907,assumption,(cell2 = X!1), introduced(assumption)).
% 1.28/1.49 tff(10908,plain,
% 1.28/1.49 ((cell90 = cell2) <=> (cell90 = X!1)),
% 1.28/1.49 inference(monotonicity,[status(thm)],[10907])).
% 1.28/1.49 tff(10909,plain,
% 1.28/1.49 ((cell90 = cell2) <=> (X!1 = cell90)),
% 1.28/1.49 inference(transitivity,[status(thm)],[10908, 125])).
% 1.28/1.49 tff(10910,plain,
% 1.28/1.49 ((~(cell90 = cell2)) <=> (~(X!1 = cell90))),
% 1.28/1.49 inference(monotonicity,[status(thm)],[10909])).
% 1.28/1.49 tff(10911,plain,
% 1.28/1.49 (~(X!1 = cell90)),
% 1.28/1.49 inference(modus_ponens,[status(thm)],[5991, 10910])).
% 1.28/1.49 tff(10912,plain,
% 1.28/1.49 ((~(Y!0 = cell89)) | (~(X!1 = cell90))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[1343, 10911])).
% 1.28/1.49 tff(10913,plain,
% 1.28/1.49 ((cell99 = cell2) <=> (cell99 = X!1)),
% 1.28/1.49 inference(monotonicity,[status(thm)],[10907])).
% 1.28/1.49 tff(10914,plain,
% 1.28/1.49 ((cell99 = cell2) <=> (X!1 = cell99)),
% 1.28/1.49 inference(transitivity,[status(thm)],[10913, 225])).
% 1.28/1.49 tff(10915,plain,
% 1.28/1.49 ((~(cell99 = cell2)) <=> (~(X!1 = cell99))),
% 1.28/1.49 inference(monotonicity,[status(thm)],[10914])).
% 1.28/1.49 tff(10916,plain,
% 1.28/1.49 (~(X!1 = cell99)),
% 1.28/1.49 inference(modus_ponens,[status(thm)],[4182, 10915])).
% 1.28/1.49 tff(10917,plain,
% 1.28/1.49 ((~(Y!0 = cell89)) | (~(X!1 = cell99))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[1347, 10916])).
% 1.28/1.49 tff(10918,plain,
% 1.28/1.49 ((cell88 = cell2) <=> (cell88 = X!1)),
% 1.28/1.49 inference(monotonicity,[status(thm)],[10907])).
% 1.28/1.49 tff(10919,plain,
% 1.28/1.49 ((cell88 = cell2) <=> (X!1 = cell88)),
% 1.28/1.49 inference(transitivity,[status(thm)],[10918, 915])).
% 1.28/1.49 tff(10920,plain,
% 1.28/1.49 ((~(cell88 = cell2)) <=> (~(X!1 = cell88))),
% 1.28/1.49 inference(monotonicity,[status(thm)],[10919])).
% 1.28/1.49 tff(10921,plain,
% 1.28/1.49 (~(X!1 = cell88)),
% 1.28/1.49 inference(modus_ponens,[status(thm)],[8856, 10920])).
% 1.28/1.49 tff(10922,plain,
% 1.28/1.49 ((~(X!1 = cell88)) | (~(Y!0 = cell89))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[923, 10921])).
% 1.28/1.49 tff(10923,plain,
% 1.28/1.49 ((cell79 = cell2) <=> (cell79 = X!1)),
% 1.28/1.49 inference(monotonicity,[status(thm)],[10907])).
% 1.28/1.49 tff(10924,plain,
% 1.28/1.49 ((cell79 = cell2) <=> (X!1 = cell79)),
% 1.28/1.49 inference(transitivity,[status(thm)],[10923, 851])).
% 1.28/1.49 tff(10925,plain,
% 1.28/1.49 ((~(cell79 = cell2)) <=> (~(X!1 = cell79))),
% 1.28/1.49 inference(monotonicity,[status(thm)],[10924])).
% 1.28/1.49 tff(10926,plain,
% 1.28/1.49 (~(X!1 = cell79)),
% 1.28/1.49 inference(modus_ponens,[status(thm)],[2493, 10925])).
% 1.28/1.49 tff(10927,plain,
% 1.28/1.49 ((~(X!1 = cell79)) | (~(Y!0 = cell89))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[991, 10926])).
% 1.28/1.49 tff(10928,plain,
% 1.28/1.49 ((cell80 = cell2) <=> (cell80 = X!1)),
% 1.28/1.49 inference(monotonicity,[status(thm)],[10907])).
% 1.28/1.49 tff(10929,plain,
% 1.28/1.49 ((cell80 = cell2) <=> (X!1 = cell80)),
% 1.28/1.49 inference(transitivity,[status(thm)],[10928, 45])).
% 1.28/1.49 tff(10930,plain,
% 1.28/1.49 ((~(cell80 = cell2)) <=> (~(X!1 = cell80))),
% 1.28/1.49 inference(monotonicity,[status(thm)],[10929])).
% 1.28/1.49 tff(10931,plain,
% 1.28/1.49 (~(X!1 = cell80)),
% 1.28/1.49 inference(modus_ponens,[status(thm)],[3997, 10930])).
% 1.28/1.49 tff(10932,plain,
% 1.28/1.49 ((~(Y!0 = cell79)) | (~(X!1 = cell80))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[1517, 10931])).
% 1.28/1.49 tff(10933,plain,
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% 1.28/1.49 inference(unit_resolution,[status(thm)],[2155, 10932, 1808, 1809, 1972, 1971, 1970, 1969, 1968, 1967, 1966, 1889, 1964, 1963, 1962, 1961, 1960, 1959, 1958, 1957, 1956, 1955, 1954, 1953, 1952, 1951, 1950, 1949, 1948, 1947, 1946, 1945, 1944, 1943, 1942, 1941, 1940, 1939, 1938, 1937, 1936, 1935, 1934, 1933, 1932, 1931, 1930, 1929, 1928, 1927, 1926, 1925, 1924, 1923, 1922, 1921, 1920, 1919, 1918, 1917, 1916, 1915, 1914, 1913, 1912, 1911, 1910, 1909, 2087, 1908, 1907, 1906, 1905, 1904, 1903, 1902, 1901, 1900, 1899, 1898, 1897, 1896, 1895, 1894, 1893, 1892, 1891, 2086, 1890, 1888, 1887, 1886, 1885, 1884, 1883, 1882, 1881, 1880, 1879, 1878, 1877, 1876, 1875, 1874, 1873, 1872, 1871, 1870, 1869, 1868, 1867, 1866, 1865, 1864, 1863, 1862, 1861, 1860, 1859, 1858, 1857, 1856, 1855, 1854, 1853, 1852, 1851, 1850, 1849, 1848, 1847, 1846, 1845, 1844, 1843, 1842, 1841, 1840, 1839, 1838, 1837, 1836, 1835, 1834, 1833, 1832, 1831, 1830, 1829, 1828, 1827, 2085, 1826, 1825, 1824, 1823, 1822, 1821, 1820, 1819, 2084, 1818, 1817, 1816, 1815, 1814, 1813, 1812, 1811, 1810, 1973, 1965, 1807, 1806, 1805, 1804, 1803, 1802, 1801, 1800, 1799])).
% 1.28/1.49 tff(10934,plain,
% 1.28/1.49 (~edge(Y!0, X!1)),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[2153, 10933])).
% 1.28/1.49 tff(10935,plain,
% 1.28/1.49 ((cell69 = cell2) <=> (cell69 = X!1)),
% 1.28/1.49 inference(monotonicity,[status(thm)],[10907])).
% 1.28/1.49 tff(10936,plain,
% 1.28/1.49 ((cell69 = cell2) <=> (X!1 = cell69)),
% 1.28/1.49 inference(transitivity,[status(thm)],[10935, 761])).
% 1.28/1.49 tff(10937,plain,
% 1.28/1.49 ((~(cell69 = cell2)) <=> (~(X!1 = cell69))),
% 1.28/1.49 inference(monotonicity,[status(thm)],[10936])).
% 1.28/1.49 tff(10938,plain,
% 1.28/1.49 (~(X!1 = cell69)),
% 1.28/1.49 inference(modus_ponens,[status(thm)],[3950, 10937])).
% 1.28/1.49 tff(10939,plain,
% 1.28/1.49 ((~(X!1 = cell69)) | (~(Y!0 = cell79))),
% 1.28/1.49 inference(unit_resolution,[status(thm)],[1205, 10938])).
% 1.28/1.49 tff(10940,plain,
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% 1.28/1.51 tff(10944,plain,
% 1.28/1.51 ($false),
% 1.28/1.51 inference(unit_resolution,[status(thm)],[10943, 10927, 10922, 1796, 1973, 1795, 1794, 1793, 1792, 1791, 1790, 1965, 1788, 1787, 1786, 1785, 1784, 1783, 1782, 1781, 1780, 1779, 1778, 1777, 1776, 1775, 1774, 1773, 1772, 1771, 1770, 1769, 1768, 1767, 1766, 1765, 1764, 1763, 1762, 1761, 1760, 1759, 1758, 1757, 1756, 1755, 1754, 1753, 1752, 1751, 1750, 1749, 1748, 1747, 1746, 1745, 1744, 1743, 1742, 1741, 1740, 1739, 1738, 1737, 1736, 1735, 1734, 1733, 1732, 1731, 1730, 1729, 1728, 1727, 1726, 1725, 1724, 1987, 2107, 1721, 1720, 1719, 1718, 1717, 1716, 1715, 1714, 1713, 1799, 1711, 1710, 1709, 1708, 1707, 1706, 1705, 1704, 1703, 1702, 1701, 10907, 1699, 1698, 1697, 1696, 1695, 1694, 1693, 1692, 1691, 1690, 1689, 1688, 1687, 1686, 1685, 1684, 1683, 1682, 1681, 1680, 1679, 1678, 1677, 1676, 1675, 1674, 1673, 1672, 1671, 1670, 1669, 1668, 1667, 1666, 1665, 1664, 1663, 1662, 1661, 1660, 1659, 1658, 1657, 1656, 1655, 1654, 1653, 1652, 1651, 1650, 1649, 1648, 1647, 1646, 1645, 1644, 1643, 1642, 1641, 1640, 2106, 1639, 1638, 1637, 1636, 1635, 1634, 2105, 1530, 1529, 1528, 1527, 1526, 1525, 1524, 1523, 1522, 1712, 1520, 1519, 1808, 1809, 1972, 1971, 1970, 1969, 1968, 1967, 1966, 10917, 1964, 1963, 1962, 1961, 1960, 1959, 1958, 1957, 1956, 1955, 1954, 1953, 1952, 1951, 1950, 1949, 1948, 1947, 1946, 1945, 1944, 1943, 1942, 1941, 1940, 1939, 1938, 1937, 1936, 1935, 1934, 1933, 1932, 1931, 1930, 1929, 1928, 1927, 1926, 1925, 1924, 1923, 1922, 1921, 1920, 1919, 1918, 1917, 1916, 1915, 1914, 1913, 1912, 1911, 1910, 1909, 2087, 1908, 1907, 1906, 1905, 1904, 1903, 1902, 1901, 1900, 1899, 1898, 1897, 1896, 1895, 1894, 1893, 1892, 1891, 2086, 1890, 1888, 10912, 1886, 1885, 1884, 1883, 1882, 1881, 1880, 1879, 1878, 1877, 1876, 1875, 1874, 1873, 1872, 1871, 1870, 1869, 1868, 1867, 1866, 1865, 1864, 1863, 1862, 1861, 1860, 1859, 1858, 1857, 1856, 1855, 1854, 1853, 1852, 1851, 1850, 1849, 1848, 1847, 1846, 1845, 1844, 1843, 1842, 1841, 1840, 1839, 1838, 1837, 1836, 1835, 1834, 1833, 1832, 1831, 1830, 1829, 1828, 1827, 2085, 1826, 1825, 1824, 1823, 1822, 1821, 1820, 1819, 2084, 1818, 1817, 1816, 1815, 1814, 1813, 1812, 1811, 1810, 1521, 1789, 1807, 1806, 1805, 1804, 1803, 1802, 1801, 1800, 1723])).
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% 1.28/1.52 tff(10946,plain,
% 1.28/1.52 (~(cell2 = X!1)),
% 1.28/1.52 inference(unit_resolution,[status(thm)],[10945, 9771, 9587, 10891, 10713, 10712, 10711, 10710, 10702, 10906, 10714, 10668, 10667, 10666, 10665, 10664, 10663, 10662, 10654, 10653, 10649, 10648, 10647, 10646, 10645, 10644, 10643, 10642, 10634, 10633, 10632, 10631, 10630, 10629, 10628, 10627, 10626, 10625, 10617, 10616, 10615, 10614, 10613, 10612, 10611, 10610, 10609, 10608, 10600, 10599, 10598, 10597, 10596, 10595, 10594, 10593, 10592, 10591, 10583, 10582, 10581, 10580, 10579, 10578, 10577, 10576, 10575, 10574, 10566, 10565, 10564, 10563, 10562, 10561, 10560, 10559, 10558, 10557, 10556, 10555, 10554, 10553, 10552, 10551, 10550, 10549, 8773, 10547, 10543, 10542, 10541, 10533, 10525, 10524, 10516, 10508, 10500, 3942, 10485, 10481, 10473, 10465, 10457, 10449, 10441, 10433, 9847, 10425, 10417, 10409, 10401, 10393, 10385, 10377, 10369, 10361, 10353, 10345, 10337, 10329, 10321, 10313, 10305, 10297, 10289, 10281, 10273, 10265, 10257, 10249, 10241, 10233, 10225, 10217, 10209, 10201, 10193, 10185, 10177, 10169, 10161, 10153, 10145, 10137, 10129, 10121, 10113, 10105, 10097, 10089, 10081, 10073, 10065, 10057, 10049, 10041, 10033, 10025, 10020, 10016, 10008, 10000, 9992, 9984, 9976, 9968, 9963, 9959, 9951, 9943, 9935, 9927, 9919, 9911, 9903, 10722, 9891, 9887, 10731, 10732, 10548, 10486, 10886, 10890, 10889, 10888, 10887, 10885, 10884, 10883, 10882, 10881, 10880, 10879, 10878, 10877, 10876, 10875, 10874, 10873, 10872, 10871, 10870, 10869, 10868, 10867, 10866, 10865, 10864, 10863, 10862, 10861, 10860, 10859, 10858, 10857, 10856, 10855, 10854, 10853, 10852, 10851, 10850, 10849, 10848, 10847, 10846, 10845, 10844, 10843, 10842, 10841, 10840, 10839, 10838, 10837, 10836, 10835, 10834, 10833, 10832, 10831, 10830, 10829, 10828, 10827, 10826, 10825, 10824, 10823, 10822, 10821, 10820, 10819, 10818, 10817, 10816, 10815, 10814, 10813, 10812, 10811, 9448, 10810, 3307, 3296, 10809, 10808, 10807, 10806, 10805, 10804, 10803, 10802, 10801, 10800, 10799, 10798, 10797, 10796, 10795, 10794, 10793, 10792, 10791, 10790, 10789, 10788, 10787, 10786, 10785, 10784, 10783, 10782, 10781, 10780, 10779, 10778, 10777, 10776, 10775, 10774, 10773, 10772, 10771, 10770, 10769, 10768, 10767, 10766, 10765, 10764, 10763, 10762, 10761, 10760, 10759, 10758, 10757, 10756, 10755, 10754, 10753, 10752, 10751, 10750, 10749, 10748, 10747, 10746, 10745, 10744, 10743, 10742, 10741, 10740, 10739, 10738, 10737, 10736, 10735, 10734, 8872, 10733, 9895, 10905, 10730, 10729, 10728, 10727, 10726, 10725, 10724, 10723, 3943])).
% 1.28/1.52 tff(10947,assumption,(~(cell2 = X!1)), introduced(assumption)).
% 1.28/1.52 tff(10948,plain,
% 1.28/1.52 ($false),
% 1.28/1.52 inference(unit_resolution,[status(thm)],[5160, 3912, 23, 10, 10947])).
% 1.28/1.52 tff(10949,plain,((~patient(cell2)) | (cell2 = X!1)), inference(lemma,lemma(discharge,[]))).
% 1.28/1.52 tff(10950,plain,
% 1.28/1.52 (~patient(cell2)),
% 1.28/1.52 inference(unit_resolution,[status(thm)],[10949, 10946])).
% 1.28/1.52 tff(10951,plain,
% 1.28/1.52 (patient(cell22)),
% 1.28/1.52 inference(unit_resolution,[status(thm)],[3276, 3904, 2388, 2387, 10950])).
% 1.28/1.52 tff(10952,plain,
% 1.28/1.52 ($false),
% 1.28/1.52 inference(unit_resolution,[status(thm)],[5961, 10951, 23, 10, 10904])).
% 1.28/1.52 tff(10953,plain,(patient(cell11) | patient(cell13) | patient(cell12)), inference(lemma,lemma(discharge,[]))).
% 1.28/1.52 tff(10954,plain,
% 1.28/1.52 (patient(cell11)),
% 1.28/1.52 inference(unit_resolution,[status(thm)],[10953, 2387, 2388])).
% 1.28/1.52 tff(10955,plain,
% 1.28/1.52 (cell11 = X!1),
% 1.28/1.52 inference(unit_resolution,[status(thm)],[4026, 10954, 23, 10])).
% 1.28/1.52 tff(10956,plain,
% 1.28/1.52 ((cell88 = cell11) <=> (cell88 = X!1)),
% 1.28/1.52 inference(monotonicity,[status(thm)],[10955])).
% 1.28/1.52 tff(10957,plain,
% 1.28/1.52 ((cell88 = cell11) <=> (X!1 = cell88)),
% 1.28/1.52 inference(transitivity,[status(thm)],[10956, 915])).
% 1.28/1.52 tff(10958,plain,
% 1.28/1.52 ((~(cell88 = cell11)) <=> (~(X!1 = cell88))),
% 1.28/1.52 inference(monotonicity,[status(thm)],[10957])).
% 1.28/1.52 tff(10959,plain,
% 1.28/1.52 (~(X!1 = cell88)),
% 1.28/1.52 inference(modus_ponens,[status(thm)],[8402, 10958])).
% 1.28/1.52 tff(10960,plain,
% 1.28/1.52 ((~(X!1 = cell88)) | (~(Y!0 = cell89))),
% 1.28/1.52 inference(unit_resolution,[status(thm)],[923, 10959])).
% 1.28/1.52 tff(10961,plain,
% 1.28/1.52 ((cell79 = cell11) <=> (cell79 = X!1)),
% 1.28/1.52 inference(monotonicity,[status(thm)],[10955])).
% 1.28/1.52 tff(10962,plain,
% 1.28/1.52 ((cell79 = cell11) <=> (X!1 = cell79)),
% 1.28/1.52 inference(transitivity,[status(thm)],[10961, 851])).
% 1.28/1.52 tff(10963,plain,
% 1.28/1.52 ((~(cell79 = cell11)) <=> (~(X!1 = cell79))),
% 1.28/1.52 inference(monotonicity,[status(thm)],[10962])).
% 1.28/1.52 tff(10964,plain,
% 1.28/1.52 (~(X!1 = cell79)),
% 1.28/1.52 inference(modus_ponens,[status(thm)],[2567, 10963])).
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% 1.36/1.53 inference(unit_resolution,[status(thm)],[2155, 10977, 9590, 9587, 10548, 10486, 10886, 10890, 10889, 10888, 10887, 10906, 10885, 10884, 10883, 10882, 10881, 10880, 10879, 10878, 10877, 10876, 10875, 10874, 10873, 10872, 10871, 10870, 10869, 10868, 10867, 10866, 10865, 10864, 10863, 10862, 10861, 10860, 10859, 10858, 10857, 10856, 10855, 10854, 10853, 10852, 10851, 10850, 10849, 10848, 10847, 10846, 10845, 10844, 10843, 10842, 10841, 10840, 10839, 10838, 10837, 10836, 10835, 10834, 10833, 10832, 10831, 10830, 10829, 10828, 10827, 10826, 10825, 10824, 10823, 10822, 10821, 10820, 10819, 10818, 10817, 10816, 10815, 10814, 10813, 10812, 10811, 9448, 10810, 3307, 10972, 3296, 10809, 10808, 10807, 10806, 10805, 10804, 10803, 10802, 10801, 10800, 10799, 10798, 10797, 10796, 10795, 10794, 10793, 10792, 10791, 10790, 10789, 10788, 10787, 10786, 10785, 10784, 10783, 10782, 10781, 10780, 10779, 10778, 10777, 10776, 10775, 10774, 10773, 10772, 10771, 10770, 10769, 10768, 10767, 10766, 10765, 10764, 10763, 10762, 10761, 10760, 10759, 10758, 10757, 10756, 10755, 10754, 10753, 10752, 10751, 10750, 10749, 10748, 10747, 10746, 10745, 10744, 10743, 10742, 10741, 10740, 10739, 10738, 10737, 10736, 10735, 10734, 8872, 10733, 10732, 10731, 10730, 10729, 10728, 10727, 10726, 10725, 10724, 10723, 8773])).
% 1.36/1.53 tff(10979,plain,
% 1.36/1.53 (~edge(Y!0, X!1)),
% 1.36/1.53 inference(unit_resolution,[status(thm)],[2153, 10978])).
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% 1.36/1.53 inference(unit_resolution,[status(thm)],[2141, 10979, 10967])).
% 1.36/1.53 tff(10981,plain,(patient(cell12) | patient(cell13)), inference(lemma,lemma(discharge,[]))).
% 1.36/1.53 tff(10982,plain,
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% 1.36/1.53 inference(unit_resolution,[status(thm)],[10981, 2385])).
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% 1.36/1.53 inference(monotonicity,[status(thm)],[10986])).
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% 1.36/1.53 inference(monotonicity,[status(thm)],[10987])).
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% 1.36/1.53 inference(unit_resolution,[status(thm)],[173, 11005])).
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% 1.36/1.53 tff(11050,plain,
% 1.36/1.53 (~(X!1 = cell99)),
% 1.36/1.53 inference(modus_ponens,[status(thm)],[2186, 11049])).
% 1.36/1.53 tff(11051,plain,
% 1.36/1.53 ((~(X!1 = cell99)) | (~(Y!0 = cell98))),
% 1.36/1.53 inference(unit_resolution,[status(thm)],[233, 11050])).
% 1.36/1.53 tff(11052,plain,
% 1.36/1.53 ((~(cell80 = cell12)) <=> (~(cell80 = cell12))),
% 1.36/1.53 inference(rewrite,[status(thm)],[])).
% 1.36/1.53 tff(11053,axiom,(~(cell80 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46523')).
% 1.36/1.53 tff(11054,plain,
% 1.36/1.53 (~(cell80 = cell12)),
% 1.36/1.53 inference(modus_ponens,[status(thm)],[11053, 11052])).
% 1.36/1.53 tff(11055,assumption,(patient(cell12)), introduced(assumption)).
% 1.36/1.53 tff(11056,plain,
% 1.36/1.53 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell80 = cell12) | (~patient(cell12)) | (~patient(cell80)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell80 = cell12) | (~patient(cell12)) | (~patient(cell80)))),
% 1.36/1.53 inference(rewrite,[status(thm)],[])).
% 1.36/1.53 tff(11057,plain,
% 1.36/1.53 (((cell80 = cell12) | (~patient(cell80)) | (~patient(cell12))) <=> ((cell80 = cell12) | (~patient(cell12)) | (~patient(cell80)))),
% 1.36/1.53 inference(rewrite,[status(thm)],[])).
% 1.36/1.53 tff(11058,plain,
% 1.36/1.53 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell80 = cell12) | (~patient(cell80)) | (~patient(cell12)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell80 = cell12) | (~patient(cell12)) | (~patient(cell80))))),
% 1.36/1.53 inference(monotonicity,[status(thm)],[11057])).
% 1.36/1.53 tff(11059,plain,
% 1.36/1.53 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell80 = cell12) | (~patient(cell80)) | (~patient(cell12)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell80 = cell12) | (~patient(cell12)) | (~patient(cell80)))),
% 1.36/1.53 inference(transitivity,[status(thm)],[11058, 11056])).
% 1.36/1.53 tff(11060,plain,
% 1.36/1.53 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell80 = cell12) | (~patient(cell80)) | (~patient(cell12)))),
% 1.36/1.53 inference(quant_inst,[status(thm)],[])).
% 1.36/1.53 tff(11061,plain,
% 1.36/1.53 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell80 = cell12) | (~patient(cell12)) | (~patient(cell80))),
% 1.36/1.53 inference(modus_ponens,[status(thm)],[11060, 11059])).
% 1.36/1.53 tff(11062,plain,
% 1.36/1.53 ($false),
% 1.36/1.53 inference(unit_resolution,[status(thm)],[11061, 11055, 23, 11054, 3998])).
% 1.36/1.53 tff(11063,plain,((~patient(cell12)) | (~patient(cell80))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.53 tff(11064,plain,
% 1.36/1.53 (~patient(cell12)),
% 1.36/1.53 inference(unit_resolution,[status(thm)],[11063, 3998])).
% 1.36/1.53 tff(11065,plain,
% 1.36/1.53 (patient(cell13)),
% 1.36/1.53 inference(unit_resolution,[status(thm)],[10981, 11064])).
% 1.36/1.53 tff(11066,plain,
% 1.36/1.53 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell80 = cell13) | (~patient(cell13)) | (~patient(cell80)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell80 = cell13) | (~patient(cell13)) | (~patient(cell80)))),
% 1.36/1.53 inference(rewrite,[status(thm)],[])).
% 1.36/1.53 tff(11067,plain,
% 1.36/1.53 (((cell80 = cell13) | (~patient(cell80)) | (~patient(cell13))) <=> ((cell80 = cell13) | (~patient(cell13)) | (~patient(cell80)))),
% 1.36/1.53 inference(rewrite,[status(thm)],[])).
% 1.36/1.53 tff(11068,plain,
% 1.36/1.53 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell80 = cell13) | (~patient(cell80)) | (~patient(cell13)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell80 = cell13) | (~patient(cell13)) | (~patient(cell80))))),
% 1.36/1.53 inference(monotonicity,[status(thm)],[11067])).
% 1.36/1.53 tff(11069,plain,
% 1.36/1.53 (((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell80 = cell13) | (~patient(cell80)) | (~patient(cell13)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell80 = cell13) | (~patient(cell13)) | (~patient(cell80)))),
% 1.36/1.53 inference(transitivity,[status(thm)],[11068, 11066])).
% 1.36/1.53 tff(11070,plain,
% 1.36/1.53 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | ((cell80 = cell13) | (~patient(cell80)) | (~patient(cell13)))),
% 1.36/1.53 inference(quant_inst,[status(thm)],[])).
% 1.36/1.53 tff(11071,plain,
% 1.36/1.53 ((~![Y: $i, X: $i] : ((X = Y) | (~patient(X)) | (~patient(Y)))) | (cell80 = cell13) | (~patient(cell13)) | (~patient(cell80))),
% 1.36/1.53 inference(modus_ponens,[status(thm)],[11070, 11069])).
% 1.36/1.53 tff(11072,plain,
% 1.36/1.53 ($false),
% 1.36/1.53 inference(unit_resolution,[status(thm)],[11071, 11065, 23, 51, 3998])).
% 1.36/1.53 tff(11073,plain,(~patient(cell80)), inference(lemma,lemma(discharge,[]))).
% 1.36/1.53 tff(11074,plain,
% 1.36/1.53 (~(X!1 = cell80)),
% 1.36/1.53 inference(unit_resolution,[status(thm)],[3993, 11073])).
% 1.36/1.53 tff(11075,plain,
% 1.36/1.53 ((~(Y!0 = cell79)) | (~(X!1 = cell80))),
% 1.36/1.53 inference(unit_resolution,[status(thm)],[1517, 11074])).
% 1.36/1.53 tff(11076,plain,
% 1.36/1.53 ((~(Y!0 = cell87)) | (~(X!1 = cell97))),
% 1.36/1.53 inference(unit_resolution,[status(thm)],[245, 11037])).
% 1.36/1.53 tff(11077,plain,
% 1.36/1.53 ((cell3 = cell12) <=> (cell3 = X!1)),
% 1.36/1.53 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.53 tff(11078,plain,
% 1.36/1.53 ((cell3 = cell12) <=> (X!1 = cell3)),
% 1.36/1.53 inference(transitivity,[status(thm)],[11077, 55])).
% 1.36/1.53 tff(11079,plain,
% 1.36/1.53 ((~(cell3 = cell12)) <=> (~(X!1 = cell3))),
% 1.36/1.53 inference(monotonicity,[status(thm)],[11078])).
% 1.36/1.53 tff(11080,plain,
% 1.36/1.53 ((~(cell3 = cell12)) <=> (~(cell3 = cell12))),
% 1.36/1.53 inference(rewrite,[status(thm)],[])).
% 1.36/1.53 tff(11081,axiom,(~(cell3 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49871')).
% 1.36/1.53 tff(11082,plain,
% 1.36/1.53 (~(cell3 = cell12)),
% 1.36/1.53 inference(modus_ponens,[status(thm)],[11081, 11080])).
% 1.36/1.53 tff(11083,plain,
% 1.36/1.53 (~(X!1 = cell3)),
% 1.36/1.53 inference(modus_ponens,[status(thm)],[11082, 11079])).
% 1.36/1.53 tff(11084,plain,
% 1.36/1.53 ((~(Y!0 = cell2)) | (~(X!1 = cell3))),
% 1.36/1.53 inference(unit_resolution,[status(thm)],[247, 11083])).
% 1.36/1.53 tff(11085,plain,
% 1.36/1.53 ((cell4 = cell12) <=> (cell4 = X!1)),
% 1.36/1.53 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.53 tff(11086,plain,
% 1.36/1.53 ((cell4 = cell12) <=> (X!1 = cell4)),
% 1.36/1.53 inference(transitivity,[status(thm)],[11085, 65])).
% 1.36/1.53 tff(11087,plain,
% 1.36/1.53 ((~(cell4 = cell12)) <=> (~(X!1 = cell4))),
% 1.36/1.53 inference(monotonicity,[status(thm)],[11086])).
% 1.36/1.53 tff(11088,plain,
% 1.36/1.53 ((~(cell4 = cell12)) <=> (~(cell4 = cell12))),
% 1.36/1.53 inference(rewrite,[status(thm)],[])).
% 1.36/1.53 tff(11089,axiom,(~(cell4 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49860')).
% 1.36/1.53 tff(11090,plain,
% 1.36/1.53 (~(cell4 = cell12)),
% 1.36/1.53 inference(modus_ponens,[status(thm)],[11089, 11088])).
% 1.36/1.53 tff(11091,plain,
% 1.36/1.53 (~(X!1 = cell4)),
% 1.36/1.53 inference(modus_ponens,[status(thm)],[11090, 11087])).
% 1.36/1.53 tff(11092,plain,
% 1.36/1.53 ((~(Y!0 = cell3)) | (~(X!1 = cell4))),
% 1.36/1.53 inference(unit_resolution,[status(thm)],[249, 11091])).
% 1.36/1.53 tff(11093,plain,
% 1.36/1.53 ((cell5 = cell12) <=> (cell5 = X!1)),
% 1.36/1.53 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.53 tff(11094,plain,
% 1.36/1.53 ((cell5 = cell12) <=> (X!1 = cell5)),
% 1.36/1.53 inference(transitivity,[status(thm)],[11093, 75])).
% 1.36/1.53 tff(11095,plain,
% 1.36/1.53 ((~(cell5 = cell12)) <=> (~(X!1 = cell5))),
% 1.36/1.53 inference(monotonicity,[status(thm)],[11094])).
% 1.36/1.53 tff(11096,plain,
% 1.36/1.53 ((~(cell5 = cell12)) <=> (~(cell5 = cell12))),
% 1.36/1.53 inference(rewrite,[status(thm)],[])).
% 1.36/1.53 tff(11097,axiom,(~(cell5 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49848')).
% 1.36/1.53 tff(11098,plain,
% 1.36/1.53 (~(cell5 = cell12)),
% 1.36/1.53 inference(modus_ponens,[status(thm)],[11097, 11096])).
% 1.36/1.53 tff(11099,plain,
% 1.36/1.53 (~(X!1 = cell5)),
% 1.36/1.53 inference(modus_ponens,[status(thm)],[11098, 11095])).
% 1.36/1.53 tff(11100,plain,
% 1.36/1.53 ((~(Y!0 = cell4)) | (~(X!1 = cell5))),
% 1.36/1.53 inference(unit_resolution,[status(thm)],[251, 11099])).
% 1.36/1.53 tff(11101,plain,
% 1.36/1.53 ((cell6 = cell12) <=> (cell6 = X!1)),
% 1.36/1.53 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.53 tff(11102,plain,
% 1.36/1.53 ((cell6 = cell12) <=> (X!1 = cell6)),
% 1.36/1.53 inference(transitivity,[status(thm)],[11101, 85])).
% 1.36/1.53 tff(11103,plain,
% 1.36/1.53 ((~(cell6 = cell12)) <=> (~(X!1 = cell6))),
% 1.36/1.53 inference(monotonicity,[status(thm)],[11102])).
% 1.36/1.53 tff(11104,plain,
% 1.36/1.53 ((~(cell6 = cell12)) <=> (~(cell6 = cell12))),
% 1.36/1.53 inference(rewrite,[status(thm)],[])).
% 1.36/1.53 tff(11105,axiom,(~(cell6 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49835')).
% 1.36/1.53 tff(11106,plain,
% 1.36/1.53 (~(cell6 = cell12)),
% 1.36/1.53 inference(modus_ponens,[status(thm)],[11105, 11104])).
% 1.36/1.53 tff(11107,plain,
% 1.36/1.53 (~(X!1 = cell6)),
% 1.36/1.53 inference(modus_ponens,[status(thm)],[11106, 11103])).
% 1.36/1.53 tff(11108,plain,
% 1.36/1.53 ((~(Y!0 = cell5)) | (~(X!1 = cell6))),
% 1.36/1.53 inference(unit_resolution,[status(thm)],[253, 11107])).
% 1.36/1.53 tff(11109,plain,
% 1.36/1.53 ((cell7 = cell12) <=> (cell7 = X!1)),
% 1.36/1.53 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.53 tff(11110,plain,
% 1.36/1.53 ((cell7 = cell12) <=> (X!1 = cell7)),
% 1.36/1.53 inference(transitivity,[status(thm)],[11109, 95])).
% 1.36/1.53 tff(11111,plain,
% 1.36/1.53 ((~(cell7 = cell12)) <=> (~(X!1 = cell7))),
% 1.36/1.53 inference(monotonicity,[status(thm)],[11110])).
% 1.36/1.53 tff(11112,plain,
% 1.36/1.53 ((~(cell7 = cell12)) <=> (~(cell7 = cell12))),
% 1.36/1.53 inference(rewrite,[status(thm)],[])).
% 1.36/1.53 tff(11113,axiom,(~(cell7 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49821')).
% 1.36/1.53 tff(11114,plain,
% 1.36/1.53 (~(cell7 = cell12)),
% 1.36/1.53 inference(modus_ponens,[status(thm)],[11113, 11112])).
% 1.36/1.53 tff(11115,plain,
% 1.36/1.53 (~(X!1 = cell7)),
% 1.36/1.53 inference(modus_ponens,[status(thm)],[11114, 11111])).
% 1.36/1.53 tff(11116,plain,
% 1.36/1.53 ((~(Y!0 = cell6)) | (~(X!1 = cell7))),
% 1.36/1.53 inference(unit_resolution,[status(thm)],[255, 11115])).
% 1.36/1.53 tff(11117,plain,
% 1.36/1.53 ((cell8 = cell12) <=> (cell8 = X!1)),
% 1.36/1.53 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.53 tff(11118,plain,
% 1.36/1.53 ((cell8 = cell12) <=> (X!1 = cell8)),
% 1.36/1.53 inference(transitivity,[status(thm)],[11117, 105])).
% 1.36/1.53 tff(11119,plain,
% 1.36/1.53 ((~(cell8 = cell12)) <=> (~(X!1 = cell8))),
% 1.36/1.53 inference(monotonicity,[status(thm)],[11118])).
% 1.36/1.53 tff(11120,plain,
% 1.36/1.53 ((~(cell8 = cell12)) <=> (~(cell8 = cell12))),
% 1.36/1.53 inference(rewrite,[status(thm)],[])).
% 1.36/1.53 tff(11121,axiom,(~(cell8 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49806')).
% 1.36/1.53 tff(11122,plain,
% 1.36/1.53 (~(cell8 = cell12)),
% 1.36/1.53 inference(modus_ponens,[status(thm)],[11121, 11120])).
% 1.36/1.53 tff(11123,plain,
% 1.36/1.53 (~(X!1 = cell8)),
% 1.36/1.53 inference(modus_ponens,[status(thm)],[11122, 11119])).
% 1.36/1.53 tff(11124,plain,
% 1.36/1.53 ((~(Y!0 = cell7)) | (~(X!1 = cell8))),
% 1.36/1.53 inference(unit_resolution,[status(thm)],[257, 11123])).
% 1.36/1.53 tff(11125,plain,
% 1.36/1.53 ((cell9 = cell12) <=> (cell9 = X!1)),
% 1.36/1.53 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.53 tff(11126,plain,
% 1.36/1.53 ((cell9 = cell12) <=> (X!1 = cell9)),
% 1.36/1.53 inference(transitivity,[status(thm)],[11125, 115])).
% 1.36/1.53 tff(11127,plain,
% 1.36/1.53 ((~(cell9 = cell12)) <=> (~(X!1 = cell9))),
% 1.36/1.53 inference(monotonicity,[status(thm)],[11126])).
% 1.36/1.53 tff(11128,plain,
% 1.36/1.53 ((~(cell9 = cell12)) <=> (~(cell9 = cell12))),
% 1.36/1.53 inference(rewrite,[status(thm)],[])).
% 1.36/1.53 tff(11129,axiom,(~(cell9 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49790')).
% 1.36/1.53 tff(11130,plain,
% 1.36/1.53 (~(cell9 = cell12)),
% 1.36/1.53 inference(modus_ponens,[status(thm)],[11129, 11128])).
% 1.36/1.53 tff(11131,plain,
% 1.36/1.53 (~(X!1 = cell9)),
% 1.36/1.53 inference(modus_ponens,[status(thm)],[11130, 11127])).
% 1.36/1.53 tff(11132,plain,
% 1.36/1.53 ((~(Y!0 = cell8)) | (~(X!1 = cell9))),
% 1.36/1.53 inference(unit_resolution,[status(thm)],[259, 11131])).
% 1.36/1.53 tff(11133,plain,
% 1.36/1.53 ((cell10 = cell12) <=> (cell10 = X!1)),
% 1.36/1.53 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.53 tff(11134,plain,
% 1.36/1.53 ((cell10 = cell12) <=> (X!1 = cell10)),
% 1.36/1.53 inference(transitivity,[status(thm)],[11133, 261])).
% 1.36/1.53 tff(11135,plain,
% 1.36/1.53 ((~(cell10 = cell12)) <=> (~(X!1 = cell10))),
% 1.36/1.53 inference(monotonicity,[status(thm)],[11134])).
% 1.36/1.53 tff(11136,plain,
% 1.36/1.53 ((~(cell10 = cell12)) <=> (~(cell10 = cell12))),
% 1.36/1.53 inference(rewrite,[status(thm)],[])).
% 1.36/1.53 tff(11137,axiom,(~(cell10 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49773')).
% 1.36/1.53 tff(11138,plain,
% 1.36/1.53 (~(cell10 = cell12)),
% 1.36/1.53 inference(modus_ponens,[status(thm)],[11137, 11136])).
% 1.36/1.53 tff(11139,plain,
% 1.36/1.53 (~(X!1 = cell10)),
% 1.36/1.53 inference(modus_ponens,[status(thm)],[11138, 11135])).
% 1.36/1.53 tff(11140,plain,
% 1.36/1.53 ((~(Y!0 = cell9)) | (~(X!1 = cell10))),
% 1.36/1.53 inference(unit_resolution,[status(thm)],[269, 11139])).
% 1.36/1.53 tff(11141,plain,
% 1.36/1.53 ((cell86 = cell12) <=> (cell86 = X!1)),
% 1.36/1.53 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.53 tff(11142,plain,
% 1.36/1.53 ((cell86 = cell12) <=> (X!1 = cell86)),
% 1.36/1.53 inference(transitivity,[status(thm)],[11141, 24])).
% 1.36/1.53 tff(11143,plain,
% 1.36/1.53 ((~(cell86 = cell12)) <=> (~(X!1 = cell86))),
% 1.36/1.53 inference(monotonicity,[status(thm)],[11142])).
% 1.36/1.53 tff(11144,plain,
% 1.36/1.53 ((~(cell86 = cell12)) <=> (~(cell86 = cell12))),
% 1.36/1.53 inference(rewrite,[status(thm)],[])).
% 1.36/1.53 tff(11145,axiom,(~(cell86 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46010')).
% 1.36/1.53 tff(11146,plain,
% 1.36/1.53 (~(cell86 = cell12)),
% 1.36/1.53 inference(modus_ponens,[status(thm)],[11145, 11144])).
% 1.36/1.54 tff(11147,plain,
% 1.36/1.54 (~(X!1 = cell86)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11146, 11143])).
% 1.36/1.54 tff(11148,plain,
% 1.36/1.54 ((~(X!1 = cell86)) | (~(Y!0 = cell96))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[33, 11147])).
% 1.36/1.54 tff(11149,plain,
% 1.36/1.54 ((cell1 = cell12) <=> (cell1 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11150,plain,
% 1.36/1.54 ((cell1 = cell12) <=> (X!1 = cell1)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11149, 35])).
% 1.36/1.54 tff(11151,plain,
% 1.36/1.54 ((~(cell1 = cell12)) <=> (~(X!1 = cell1))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11150])).
% 1.36/1.54 tff(11152,plain,
% 1.36/1.54 ((~(cell1 = cell12)) <=> (~(cell1 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11153,axiom,(~(cell1 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49881')).
% 1.36/1.54 tff(11154,plain,
% 1.36/1.54 (~(cell1 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11153, 11152])).
% 1.36/1.54 tff(11155,plain,
% 1.36/1.54 (~(X!1 = cell1)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11154, 11151])).
% 1.36/1.54 tff(11156,plain,
% 1.36/1.54 ((~(X!1 = cell1)) | (~(Y!0 = cell2))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[43, 11155])).
% 1.36/1.54 tff(11157,plain,
% 1.36/1.54 ((cell89 = cell12) <=> (cell89 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11158,plain,
% 1.36/1.54 ((cell89 = cell12) <=> (X!1 = cell89)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11157, 925])).
% 1.36/1.54 tff(11159,plain,
% 1.36/1.54 ((~(cell89 = cell12)) <=> (~(X!1 = cell89))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11158])).
% 1.36/1.54 tff(11160,plain,
% 1.36/1.54 (~(X!1 = cell89)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[2173, 11159])).
% 1.36/1.54 tff(11161,plain,
% 1.36/1.54 ((~(X!1 = cell89)) | (~(Y!0 = cell90))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[933, 11160])).
% 1.36/1.54 tff(11162,plain,
% 1.36/1.54 ((~(X!1 = cell3)) | (~(Y!0 = cell4))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[63, 11083])).
% 1.36/1.54 tff(11163,plain,
% 1.36/1.54 ((~(X!1 = cell4)) | (~(Y!0 = cell5))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[73, 11091])).
% 1.36/1.54 tff(11164,plain,
% 1.36/1.54 ((~(X!1 = cell5)) | (~(Y!0 = cell6))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[83, 11099])).
% 1.36/1.54 tff(11165,plain,
% 1.36/1.54 ((~(X!1 = cell6)) | (~(Y!0 = cell7))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[93, 11107])).
% 1.36/1.54 tff(11166,plain,
% 1.36/1.54 ((~(X!1 = cell7)) | (~(Y!0 = cell8))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[103, 11115])).
% 1.36/1.54 tff(11167,plain,
% 1.36/1.54 ((~(X!1 = cell8)) | (~(Y!0 = cell9))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[113, 11123])).
% 1.36/1.54 tff(11168,plain,
% 1.36/1.54 ((~(X!1 = cell9)) | (~(Y!0 = cell10))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[123, 11131])).
% 1.36/1.54 tff(11169,plain,
% 1.36/1.54 ((cell90 = cell12) <=> (cell90 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11170,plain,
% 1.36/1.54 ((cell90 = cell12) <=> (X!1 = cell90)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11169, 125])).
% 1.36/1.54 tff(11171,plain,
% 1.36/1.54 ((~(cell90 = cell12)) <=> (~(X!1 = cell90))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11170])).
% 1.36/1.54 tff(11172,plain,
% 1.36/1.54 (~(X!1 = cell90)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[2001, 11171])).
% 1.36/1.54 tff(11173,plain,
% 1.36/1.54 ((~(X!1 = cell90)) | (~(Y!0 = cell100))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[133, 11172])).
% 1.36/1.54 tff(11174,plain,
% 1.36/1.54 ((cell84 = cell12) <=> (cell84 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11175,plain,
% 1.36/1.54 ((cell84 = cell12) <=> (X!1 = cell84)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11174, 891])).
% 1.36/1.54 tff(11176,plain,
% 1.36/1.54 ((~(cell84 = cell12)) <=> (~(X!1 = cell84))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11175])).
% 1.36/1.54 tff(11177,plain,
% 1.36/1.54 ((~(cell84 = cell12)) <=> (~(cell84 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11178,axiom,(~(cell84 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46185')).
% 1.36/1.54 tff(11179,plain,
% 1.36/1.54 (~(cell84 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11178, 11177])).
% 1.36/1.54 tff(11180,plain,
% 1.36/1.54 (~(X!1 = cell84)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11179, 11176])).
% 1.36/1.54 tff(11181,plain,
% 1.36/1.54 ((~(X!1 = cell84)) | (~(Y!0 = cell94))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[1191, 11180])).
% 1.36/1.54 tff(11182,plain,
% 1.36/1.54 ((cell12 = cell2) <=> (X!1 = cell2)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11183,plain,
% 1.36/1.54 ((~(cell12 = cell2)) <=> (~(X!1 = cell2))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11182])).
% 1.36/1.54 tff(11184,plain,
% 1.36/1.54 ((~(cell12 = cell2)) <=> (~(cell12 = cell2))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11185,axiom,(~(cell12 = cell2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49922')).
% 1.36/1.54 tff(11186,plain,
% 1.36/1.54 (~(cell12 = cell2)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11185, 11184])).
% 1.36/1.54 tff(11187,plain,
% 1.36/1.54 (~(X!1 = cell2)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11186, 11183])).
% 1.36/1.54 tff(11188,plain,
% 1.36/1.54 ((~(X!1 = cell2)) | (~(Y!0 = cell12))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[1201, 11187])).
% 1.36/1.54 tff(11189,plain,
% 1.36/1.54 ((cell14 = cell12) <=> (cell14 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11190,plain,
% 1.36/1.54 ((cell14 = cell12) <=> (X!1 = cell14)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11189, 273])).
% 1.36/1.54 tff(11191,plain,
% 1.36/1.54 ((~(cell14 = cell12)) <=> (~(X!1 = cell14))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11190])).
% 1.36/1.54 tff(11192,plain,
% 1.36/1.54 ((~(cell14 = cell12)) <=> (~(cell14 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11193,axiom,(~(cell14 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49755')).
% 1.36/1.54 tff(11194,plain,
% 1.36/1.54 (~(cell14 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11193, 11192])).
% 1.36/1.54 tff(11195,plain,
% 1.36/1.54 (~(X!1 = cell14)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11194, 11191])).
% 1.36/1.54 tff(11196,plain,
% 1.36/1.54 ((~(X!1 = cell14)) | (~(Y!0 = cell15))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[281, 11195])).
% 1.36/1.54 tff(11197,plain,
% 1.36/1.54 ((cell15 = cell12) <=> (cell15 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11198,plain,
% 1.36/1.54 ((cell15 = cell12) <=> (X!1 = cell15)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11197, 283])).
% 1.36/1.54 tff(11199,plain,
% 1.36/1.54 ((~(cell15 = cell12)) <=> (~(X!1 = cell15))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11198])).
% 1.36/1.54 tff(11200,plain,
% 1.36/1.54 ((~(cell15 = cell12)) <=> (~(cell15 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11201,axiom,(~(cell15 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49736')).
% 1.36/1.54 tff(11202,plain,
% 1.36/1.54 (~(cell15 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11201, 11200])).
% 1.36/1.54 tff(11203,plain,
% 1.36/1.54 (~(X!1 = cell15)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11202, 11199])).
% 1.36/1.54 tff(11204,plain,
% 1.36/1.54 ((~(X!1 = cell15)) | (~(Y!0 = cell16))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[291, 11203])).
% 1.36/1.54 tff(11205,plain,
% 1.36/1.54 ((cell16 = cell12) <=> (cell16 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11206,plain,
% 1.36/1.54 ((cell16 = cell12) <=> (X!1 = cell16)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11205, 293])).
% 1.36/1.54 tff(11207,plain,
% 1.36/1.54 ((~(cell16 = cell12)) <=> (~(X!1 = cell16))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11206])).
% 1.36/1.54 tff(11208,plain,
% 1.36/1.54 ((~(cell16 = cell12)) <=> (~(cell16 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11209,axiom,(~(cell16 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49716')).
% 1.36/1.54 tff(11210,plain,
% 1.36/1.54 (~(cell16 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11209, 11208])).
% 1.36/1.54 tff(11211,plain,
% 1.36/1.54 (~(X!1 = cell16)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11210, 11207])).
% 1.36/1.54 tff(11212,plain,
% 1.36/1.54 ((~(X!1 = cell16)) | (~(Y!0 = cell17))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[301, 11211])).
% 1.36/1.54 tff(11213,plain,
% 1.36/1.54 ((cell17 = cell12) <=> (cell17 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11214,plain,
% 1.36/1.54 ((cell17 = cell12) <=> (X!1 = cell17)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11213, 303])).
% 1.36/1.54 tff(11215,plain,
% 1.36/1.54 ((~(cell17 = cell12)) <=> (~(X!1 = cell17))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11214])).
% 1.36/1.54 tff(11216,plain,
% 1.36/1.54 ((~(cell17 = cell12)) <=> (~(cell17 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11217,axiom,(~(cell17 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49695')).
% 1.36/1.54 tff(11218,plain,
% 1.36/1.54 (~(cell17 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11217, 11216])).
% 1.36/1.54 tff(11219,plain,
% 1.36/1.54 (~(X!1 = cell17)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11218, 11215])).
% 1.36/1.54 tff(11220,plain,
% 1.36/1.54 ((~(X!1 = cell17)) | (~(Y!0 = cell18))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[311, 11219])).
% 1.36/1.54 tff(11221,plain,
% 1.36/1.54 ((cell18 = cell12) <=> (cell18 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11222,plain,
% 1.36/1.54 ((cell18 = cell12) <=> (X!1 = cell18)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11221, 313])).
% 1.36/1.54 tff(11223,plain,
% 1.36/1.54 ((~(cell18 = cell12)) <=> (~(X!1 = cell18))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11222])).
% 1.36/1.54 tff(11224,plain,
% 1.36/1.54 ((~(cell18 = cell12)) <=> (~(cell18 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11225,axiom,(~(cell18 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49673')).
% 1.36/1.54 tff(11226,plain,
% 1.36/1.54 (~(cell18 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11225, 11224])).
% 1.36/1.54 tff(11227,plain,
% 1.36/1.54 (~(X!1 = cell18)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11226, 11223])).
% 1.36/1.54 tff(11228,plain,
% 1.36/1.54 ((~(X!1 = cell18)) | (~(Y!0 = cell19))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[321, 11227])).
% 1.36/1.54 tff(11229,plain,
% 1.36/1.54 ((cell19 = cell12) <=> (cell19 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11230,plain,
% 1.36/1.54 ((cell19 = cell12) <=> (X!1 = cell19)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11229, 323])).
% 1.36/1.54 tff(11231,plain,
% 1.36/1.54 ((~(cell19 = cell12)) <=> (~(X!1 = cell19))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11230])).
% 1.36/1.54 tff(11232,plain,
% 1.36/1.54 ((~(cell19 = cell12)) <=> (~(cell19 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11233,axiom,(~(cell19 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49650')).
% 1.36/1.54 tff(11234,plain,
% 1.36/1.54 (~(cell19 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11233, 11232])).
% 1.36/1.54 tff(11235,plain,
% 1.36/1.54 (~(X!1 = cell19)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11234, 11231])).
% 1.36/1.54 tff(11236,plain,
% 1.36/1.54 ((~(X!1 = cell19)) | (~(Y!0 = cell20))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[331, 11235])).
% 1.36/1.54 tff(11237,plain,
% 1.36/1.54 ((cell12 = cell22) <=> (X!1 = cell22)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11238,plain,
% 1.36/1.54 ((~(cell12 = cell22)) <=> (~(X!1 = cell22))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11237])).
% 1.36/1.54 tff(11239,plain,
% 1.36/1.54 ((~(cell12 = cell22)) <=> (~(cell12 = cell22))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11240,axiom,(~(cell12 = cell22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49924')).
% 1.36/1.54 tff(11241,plain,
% 1.36/1.54 (~(cell12 = cell22)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11240, 11239])).
% 1.36/1.54 tff(11242,plain,
% 1.36/1.54 (~(X!1 = cell22)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11241, 11238])).
% 1.36/1.54 tff(11243,plain,
% 1.36/1.54 ((~(X!1 = cell22)) | (~(Y!0 = cell23))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[339, 11242])).
% 1.36/1.54 tff(11244,plain,
% 1.36/1.54 ((cell23 = cell12) <=> (cell23 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11245,plain,
% 1.36/1.54 ((cell23 = cell12) <=> (X!1 = cell23)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11244, 341])).
% 1.36/1.54 tff(11246,plain,
% 1.36/1.54 ((~(cell23 = cell12)) <=> (~(X!1 = cell23))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11245])).
% 1.36/1.54 tff(11247,plain,
% 1.36/1.54 ((~(cell23 = cell12)) <=> (~(cell23 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11248,axiom,(~(cell23 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49575')).
% 1.36/1.54 tff(11249,plain,
% 1.36/1.54 (~(cell23 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11248, 11247])).
% 1.36/1.54 tff(11250,plain,
% 1.36/1.54 (~(X!1 = cell23)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11249, 11246])).
% 1.36/1.54 tff(11251,plain,
% 1.36/1.54 ((~(X!1 = cell23)) | (~(Y!0 = cell24))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[349, 11250])).
% 1.36/1.54 tff(11252,plain,
% 1.36/1.54 ((cell24 = cell12) <=> (cell24 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11253,plain,
% 1.36/1.54 ((cell24 = cell12) <=> (X!1 = cell24)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11252, 351])).
% 1.36/1.54 tff(11254,plain,
% 1.36/1.54 ((~(cell24 = cell12)) <=> (~(X!1 = cell24))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11253])).
% 1.36/1.54 tff(11255,plain,
% 1.36/1.54 ((~(cell24 = cell12)) <=> (~(cell24 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11256,axiom,(~(cell24 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49548')).
% 1.36/1.54 tff(11257,plain,
% 1.36/1.54 (~(cell24 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11256, 11255])).
% 1.36/1.54 tff(11258,plain,
% 1.36/1.54 (~(X!1 = cell24)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11257, 11254])).
% 1.36/1.54 tff(11259,plain,
% 1.36/1.54 ((~(X!1 = cell24)) | (~(Y!0 = cell25))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[359, 11258])).
% 1.36/1.54 tff(11260,plain,
% 1.36/1.54 ((cell25 = cell12) <=> (cell25 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11261,plain,
% 1.36/1.54 ((cell25 = cell12) <=> (X!1 = cell25)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11260, 361])).
% 1.36/1.54 tff(11262,plain,
% 1.36/1.54 ((~(cell25 = cell12)) <=> (~(X!1 = cell25))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11261])).
% 1.36/1.54 tff(11263,plain,
% 1.36/1.54 ((~(cell25 = cell12)) <=> (~(cell25 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11264,axiom,(~(cell25 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49520')).
% 1.36/1.54 tff(11265,plain,
% 1.36/1.54 (~(cell25 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11264, 11263])).
% 1.36/1.54 tff(11266,plain,
% 1.36/1.54 (~(X!1 = cell25)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11265, 11262])).
% 1.36/1.54 tff(11267,plain,
% 1.36/1.54 ((~(X!1 = cell25)) | (~(Y!0 = cell26))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[369, 11266])).
% 1.36/1.54 tff(11268,plain,
% 1.36/1.54 ((cell26 = cell12) <=> (cell26 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11269,plain,
% 1.36/1.54 ((cell26 = cell12) <=> (X!1 = cell26)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11268, 371])).
% 1.36/1.54 tff(11270,plain,
% 1.36/1.54 ((~(cell26 = cell12)) <=> (~(X!1 = cell26))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11269])).
% 1.36/1.54 tff(11271,plain,
% 1.36/1.54 ((~(cell26 = cell12)) <=> (~(cell26 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11272,axiom,(~(cell26 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49491')).
% 1.36/1.54 tff(11273,plain,
% 1.36/1.54 (~(cell26 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11272, 11271])).
% 1.36/1.54 tff(11274,plain,
% 1.36/1.54 (~(X!1 = cell26)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11273, 11270])).
% 1.36/1.54 tff(11275,plain,
% 1.36/1.54 ((~(X!1 = cell26)) | (~(Y!0 = cell27))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[379, 11274])).
% 1.36/1.54 tff(11276,plain,
% 1.36/1.54 ((cell27 = cell12) <=> (cell27 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11277,plain,
% 1.36/1.54 ((cell27 = cell12) <=> (X!1 = cell27)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11276, 381])).
% 1.36/1.54 tff(11278,plain,
% 1.36/1.54 ((~(cell27 = cell12)) <=> (~(X!1 = cell27))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11277])).
% 1.36/1.54 tff(11279,plain,
% 1.36/1.54 ((~(cell27 = cell12)) <=> (~(cell27 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11280,axiom,(~(cell27 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49461')).
% 1.36/1.54 tff(11281,plain,
% 1.36/1.54 (~(cell27 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11280, 11279])).
% 1.36/1.54 tff(11282,plain,
% 1.36/1.54 (~(X!1 = cell27)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11281, 11278])).
% 1.36/1.54 tff(11283,plain,
% 1.36/1.54 ((~(X!1 = cell27)) | (~(Y!0 = cell28))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[389, 11282])).
% 1.36/1.54 tff(11284,plain,
% 1.36/1.54 ((cell28 = cell12) <=> (cell28 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11285,plain,
% 1.36/1.54 ((cell28 = cell12) <=> (X!1 = cell28)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11284, 391])).
% 1.36/1.54 tff(11286,plain,
% 1.36/1.54 ((~(cell28 = cell12)) <=> (~(X!1 = cell28))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11285])).
% 1.36/1.54 tff(11287,plain,
% 1.36/1.54 ((~(cell28 = cell12)) <=> (~(cell28 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11288,axiom,(~(cell28 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49430')).
% 1.36/1.54 tff(11289,plain,
% 1.36/1.54 (~(cell28 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11288, 11287])).
% 1.36/1.54 tff(11290,plain,
% 1.36/1.54 (~(X!1 = cell28)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11289, 11286])).
% 1.36/1.54 tff(11291,plain,
% 1.36/1.54 ((~(X!1 = cell28)) | (~(Y!0 = cell29))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[399, 11290])).
% 1.36/1.54 tff(11292,plain,
% 1.36/1.54 ((cell29 = cell12) <=> (cell29 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11293,plain,
% 1.36/1.54 ((cell29 = cell12) <=> (X!1 = cell29)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11292, 401])).
% 1.36/1.54 tff(11294,plain,
% 1.36/1.54 ((~(cell29 = cell12)) <=> (~(X!1 = cell29))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11293])).
% 1.36/1.54 tff(11295,plain,
% 1.36/1.54 ((~(cell29 = cell12)) <=> (~(cell29 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11296,axiom,(~(cell29 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49398')).
% 1.36/1.54 tff(11297,plain,
% 1.36/1.54 (~(cell29 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11296, 11295])).
% 1.36/1.54 tff(11298,plain,
% 1.36/1.54 (~(X!1 = cell29)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11297, 11294])).
% 1.36/1.54 tff(11299,plain,
% 1.36/1.54 ((~(X!1 = cell29)) | (~(Y!0 = cell30))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[409, 11298])).
% 1.36/1.54 tff(11300,plain,
% 1.36/1.54 ((cell31 = cell12) <=> (cell31 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11301,plain,
% 1.36/1.54 ((cell31 = cell12) <=> (X!1 = cell31)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11300, 411])).
% 1.36/1.54 tff(11302,plain,
% 1.36/1.54 ((~(cell31 = cell12)) <=> (~(X!1 = cell31))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11301])).
% 1.36/1.54 tff(11303,plain,
% 1.36/1.54 ((~(cell31 = cell12)) <=> (~(cell31 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11304,axiom,(~(cell31 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49296')).
% 1.36/1.54 tff(11305,plain,
% 1.36/1.54 (~(cell31 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11304, 11303])).
% 1.36/1.54 tff(11306,plain,
% 1.36/1.54 (~(X!1 = cell31)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11305, 11302])).
% 1.36/1.54 tff(11307,plain,
% 1.36/1.54 ((~(X!1 = cell31)) | (~(Y!0 = cell32))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[419, 11306])).
% 1.36/1.54 tff(11308,plain,
% 1.36/1.54 ((cell32 = cell12) <=> (cell32 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11309,plain,
% 1.36/1.54 ((cell32 = cell12) <=> (X!1 = cell32)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11308, 421])).
% 1.36/1.54 tff(11310,plain,
% 1.36/1.54 ((~(cell32 = cell12)) <=> (~(X!1 = cell32))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11309])).
% 1.36/1.54 tff(11311,plain,
% 1.36/1.54 ((~(cell32 = cell12)) <=> (~(cell32 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11312,axiom,(~(cell32 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49331')).
% 1.36/1.54 tff(11313,plain,
% 1.36/1.54 (~(cell32 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11312, 11311])).
% 1.36/1.54 tff(11314,plain,
% 1.36/1.54 (~(X!1 = cell32)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11313, 11310])).
% 1.36/1.54 tff(11315,plain,
% 1.36/1.54 ((~(X!1 = cell32)) | (~(Y!0 = cell33))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[429, 11314])).
% 1.36/1.54 tff(11316,plain,
% 1.36/1.54 ((cell33 = cell12) <=> (cell33 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11317,plain,
% 1.36/1.54 ((cell33 = cell12) <=> (X!1 = cell33)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11316, 431])).
% 1.36/1.54 tff(11318,plain,
% 1.36/1.54 ((~(cell33 = cell12)) <=> (~(X!1 = cell33))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11317])).
% 1.36/1.54 tff(11319,plain,
% 1.36/1.54 ((~(cell33 = cell12)) <=> (~(cell33 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11320,axiom,(~(cell33 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49260')).
% 1.36/1.54 tff(11321,plain,
% 1.36/1.54 (~(cell33 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11320, 11319])).
% 1.36/1.54 tff(11322,plain,
% 1.36/1.54 (~(X!1 = cell33)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11321, 11318])).
% 1.36/1.54 tff(11323,plain,
% 1.36/1.54 ((~(X!1 = cell33)) | (~(Y!0 = cell34))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[439, 11322])).
% 1.36/1.54 tff(11324,plain,
% 1.36/1.54 ((cell34 = cell12) <=> (cell34 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11325,plain,
% 1.36/1.54 ((cell34 = cell12) <=> (X!1 = cell34)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11324, 441])).
% 1.36/1.54 tff(11326,plain,
% 1.36/1.54 ((~(cell34 = cell12)) <=> (~(X!1 = cell34))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11325])).
% 1.36/1.54 tff(11327,plain,
% 1.36/1.54 ((~(cell34 = cell12)) <=> (~(cell34 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11328,axiom,(~(cell34 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49223')).
% 1.36/1.54 tff(11329,plain,
% 1.36/1.54 (~(cell34 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11328, 11327])).
% 1.36/1.54 tff(11330,plain,
% 1.36/1.54 (~(X!1 = cell34)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11329, 11326])).
% 1.36/1.54 tff(11331,plain,
% 1.36/1.54 ((~(X!1 = cell34)) | (~(Y!0 = cell35))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[449, 11330])).
% 1.36/1.54 tff(11332,plain,
% 1.36/1.54 ((cell35 = cell12) <=> (cell35 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11333,plain,
% 1.36/1.54 ((cell35 = cell12) <=> (X!1 = cell35)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11332, 451])).
% 1.36/1.54 tff(11334,plain,
% 1.36/1.54 ((~(cell35 = cell12)) <=> (~(X!1 = cell35))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11333])).
% 1.36/1.54 tff(11335,plain,
% 1.36/1.54 ((~(cell35 = cell12)) <=> (~(cell35 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11336,axiom,(~(cell35 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49185')).
% 1.36/1.54 tff(11337,plain,
% 1.36/1.54 (~(cell35 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11336, 11335])).
% 1.36/1.54 tff(11338,plain,
% 1.36/1.54 (~(X!1 = cell35)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11337, 11334])).
% 1.36/1.54 tff(11339,plain,
% 1.36/1.54 ((~(X!1 = cell35)) | (~(Y!0 = cell36))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[459, 11338])).
% 1.36/1.54 tff(11340,plain,
% 1.36/1.54 ((cell36 = cell12) <=> (cell36 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11341,plain,
% 1.36/1.54 ((cell36 = cell12) <=> (X!1 = cell36)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11340, 461])).
% 1.36/1.54 tff(11342,plain,
% 1.36/1.54 ((~(cell36 = cell12)) <=> (~(X!1 = cell36))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11341])).
% 1.36/1.54 tff(11343,plain,
% 1.36/1.54 ((~(cell36 = cell12)) <=> (~(cell36 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11344,axiom,(~(cell36 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49146')).
% 1.36/1.54 tff(11345,plain,
% 1.36/1.54 (~(cell36 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11344, 11343])).
% 1.36/1.54 tff(11346,plain,
% 1.36/1.54 (~(X!1 = cell36)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11345, 11342])).
% 1.36/1.54 tff(11347,plain,
% 1.36/1.54 ((~(X!1 = cell36)) | (~(Y!0 = cell37))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[469, 11346])).
% 1.36/1.54 tff(11348,plain,
% 1.36/1.54 ((cell37 = cell12) <=> (cell37 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11349,plain,
% 1.36/1.54 ((cell37 = cell12) <=> (X!1 = cell37)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11348, 471])).
% 1.36/1.54 tff(11350,plain,
% 1.36/1.54 ((~(cell37 = cell12)) <=> (~(X!1 = cell37))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11349])).
% 1.36/1.54 tff(11351,plain,
% 1.36/1.54 ((~(cell37 = cell12)) <=> (~(cell37 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11352,axiom,(~(cell37 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49106')).
% 1.36/1.54 tff(11353,plain,
% 1.36/1.54 (~(cell37 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11352, 11351])).
% 1.36/1.54 tff(11354,plain,
% 1.36/1.54 (~(X!1 = cell37)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11353, 11350])).
% 1.36/1.54 tff(11355,plain,
% 1.36/1.54 ((~(X!1 = cell37)) | (~(Y!0 = cell38))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[479, 11354])).
% 1.36/1.54 tff(11356,plain,
% 1.36/1.54 ((cell38 = cell12) <=> (cell38 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11357,plain,
% 1.36/1.54 ((cell38 = cell12) <=> (X!1 = cell38)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11356, 481])).
% 1.36/1.54 tff(11358,plain,
% 1.36/1.54 ((~(cell38 = cell12)) <=> (~(X!1 = cell38))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11357])).
% 1.36/1.54 tff(11359,plain,
% 1.36/1.54 ((~(cell38 = cell12)) <=> (~(cell38 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11360,axiom,(~(cell38 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49065')).
% 1.36/1.54 tff(11361,plain,
% 1.36/1.54 (~(cell38 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11360, 11359])).
% 1.36/1.54 tff(11362,plain,
% 1.36/1.54 (~(X!1 = cell38)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11361, 11358])).
% 1.36/1.54 tff(11363,plain,
% 1.36/1.54 ((~(X!1 = cell38)) | (~(Y!0 = cell39))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[489, 11362])).
% 1.36/1.54 tff(11364,plain,
% 1.36/1.54 ((cell39 = cell12) <=> (cell39 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11365,plain,
% 1.36/1.54 ((cell39 = cell12) <=> (X!1 = cell39)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11364, 491])).
% 1.36/1.54 tff(11366,plain,
% 1.36/1.54 ((~(cell39 = cell12)) <=> (~(X!1 = cell39))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11365])).
% 1.36/1.54 tff(11367,plain,
% 1.36/1.54 ((~(cell39 = cell12)) <=> (~(cell39 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11368,axiom,(~(cell39 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49023')).
% 1.36/1.54 tff(11369,plain,
% 1.36/1.54 (~(cell39 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11368, 11367])).
% 1.36/1.54 tff(11370,plain,
% 1.36/1.54 (~(X!1 = cell39)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11369, 11366])).
% 1.36/1.54 tff(11371,plain,
% 1.36/1.54 ((~(X!1 = cell39)) | (~(Y!0 = cell40))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[499, 11370])).
% 1.36/1.54 tff(11372,plain,
% 1.36/1.54 ((cell41 = cell12) <=> (cell41 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11373,plain,
% 1.36/1.54 ((cell41 = cell12) <=> (X!1 = cell41)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11372, 501])).
% 1.36/1.54 tff(11374,plain,
% 1.36/1.54 ((~(cell41 = cell12)) <=> (~(X!1 = cell41))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11373])).
% 1.36/1.54 tff(11375,plain,
% 1.36/1.54 ((~(cell41 = cell12)) <=> (~(cell41 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11376,axiom,(~(cell41 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48891')).
% 1.36/1.54 tff(11377,plain,
% 1.36/1.54 (~(cell41 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11376, 11375])).
% 1.36/1.54 tff(11378,plain,
% 1.36/1.54 (~(X!1 = cell41)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11377, 11374])).
% 1.36/1.54 tff(11379,plain,
% 1.36/1.54 ((~(X!1 = cell41)) | (~(Y!0 = cell42))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[509, 11378])).
% 1.36/1.54 tff(11380,plain,
% 1.36/1.54 ((cell42 = cell12) <=> (cell42 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11381,plain,
% 1.36/1.54 ((cell42 = cell12) <=> (X!1 = cell42)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11380, 511])).
% 1.36/1.54 tff(11382,plain,
% 1.36/1.54 ((~(cell42 = cell12)) <=> (~(X!1 = cell42))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11381])).
% 1.36/1.54 tff(11383,plain,
% 1.36/1.54 ((~(cell42 = cell12)) <=> (~(cell42 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11384,axiom,(~(cell42 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48936')).
% 1.36/1.54 tff(11385,plain,
% 1.36/1.54 (~(cell42 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11384, 11383])).
% 1.36/1.54 tff(11386,plain,
% 1.36/1.54 (~(X!1 = cell42)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11385, 11382])).
% 1.36/1.54 tff(11387,plain,
% 1.36/1.54 ((~(X!1 = cell42)) | (~(Y!0 = cell43))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[519, 11386])).
% 1.36/1.54 tff(11388,plain,
% 1.36/1.54 ((cell43 = cell12) <=> (cell43 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11389,plain,
% 1.36/1.54 ((cell43 = cell12) <=> (X!1 = cell43)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11388, 521])).
% 1.36/1.54 tff(11390,plain,
% 1.36/1.54 ((~(cell43 = cell12)) <=> (~(X!1 = cell43))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11389])).
% 1.36/1.54 tff(11391,plain,
% 1.36/1.54 ((~(cell43 = cell12)) <=> (~(cell43 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11392,axiom,(~(cell43 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48845')).
% 1.36/1.54 tff(11393,plain,
% 1.36/1.54 (~(cell43 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11392, 11391])).
% 1.36/1.54 tff(11394,plain,
% 1.36/1.54 (~(X!1 = cell43)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11393, 11390])).
% 1.36/1.54 tff(11395,plain,
% 1.36/1.54 ((~(X!1 = cell43)) | (~(Y!0 = cell44))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[529, 11394])).
% 1.36/1.54 tff(11396,plain,
% 1.36/1.54 ((cell44 = cell12) <=> (cell44 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11397,plain,
% 1.36/1.54 ((cell44 = cell12) <=> (X!1 = cell44)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11396, 531])).
% 1.36/1.54 tff(11398,plain,
% 1.36/1.54 ((~(cell44 = cell12)) <=> (~(X!1 = cell44))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11397])).
% 1.36/1.54 tff(11399,plain,
% 1.36/1.54 ((~(cell44 = cell12)) <=> (~(cell44 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11400,axiom,(~(cell44 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48798')).
% 1.36/1.54 tff(11401,plain,
% 1.36/1.54 (~(cell44 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11400, 11399])).
% 1.36/1.54 tff(11402,plain,
% 1.36/1.54 (~(X!1 = cell44)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11401, 11398])).
% 1.36/1.54 tff(11403,plain,
% 1.36/1.54 ((~(X!1 = cell44)) | (~(Y!0 = cell45))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[539, 11402])).
% 1.36/1.54 tff(11404,plain,
% 1.36/1.54 ((cell45 = cell12) <=> (cell45 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11405,plain,
% 1.36/1.54 ((cell45 = cell12) <=> (X!1 = cell45)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11404, 541])).
% 1.36/1.54 tff(11406,plain,
% 1.36/1.54 ((~(cell45 = cell12)) <=> (~(X!1 = cell45))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11405])).
% 1.36/1.54 tff(11407,plain,
% 1.36/1.54 ((~(cell45 = cell12)) <=> (~(cell45 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11408,axiom,(~(cell45 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48750')).
% 1.36/1.54 tff(11409,plain,
% 1.36/1.54 (~(cell45 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11408, 11407])).
% 1.36/1.54 tff(11410,plain,
% 1.36/1.54 (~(X!1 = cell45)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11409, 11406])).
% 1.36/1.54 tff(11411,plain,
% 1.36/1.54 ((~(X!1 = cell45)) | (~(Y!0 = cell46))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[549, 11410])).
% 1.36/1.54 tff(11412,plain,
% 1.36/1.54 ((cell46 = cell12) <=> (cell46 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11413,plain,
% 1.36/1.54 ((cell46 = cell12) <=> (X!1 = cell46)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11412, 551])).
% 1.36/1.54 tff(11414,plain,
% 1.36/1.54 ((~(cell46 = cell12)) <=> (~(X!1 = cell46))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11413])).
% 1.36/1.54 tff(11415,plain,
% 1.36/1.54 ((~(cell46 = cell12)) <=> (~(cell46 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11416,axiom,(~(cell46 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48701')).
% 1.36/1.54 tff(11417,plain,
% 1.36/1.54 (~(cell46 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11416, 11415])).
% 1.36/1.54 tff(11418,plain,
% 1.36/1.54 (~(X!1 = cell46)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11417, 11414])).
% 1.36/1.54 tff(11419,plain,
% 1.36/1.54 ((~(X!1 = cell46)) | (~(Y!0 = cell47))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[559, 11418])).
% 1.36/1.54 tff(11420,plain,
% 1.36/1.54 ((cell47 = cell12) <=> (cell47 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11421,plain,
% 1.36/1.54 ((cell47 = cell12) <=> (X!1 = cell47)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11420, 561])).
% 1.36/1.54 tff(11422,plain,
% 1.36/1.54 ((~(cell47 = cell12)) <=> (~(X!1 = cell47))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11421])).
% 1.36/1.54 tff(11423,plain,
% 1.36/1.54 ((~(cell47 = cell12)) <=> (~(cell47 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11424,axiom,(~(cell47 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48651')).
% 1.36/1.54 tff(11425,plain,
% 1.36/1.54 (~(cell47 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11424, 11423])).
% 1.36/1.54 tff(11426,plain,
% 1.36/1.54 (~(X!1 = cell47)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11425, 11422])).
% 1.36/1.54 tff(11427,plain,
% 1.36/1.54 ((~(X!1 = cell47)) | (~(Y!0 = cell48))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[569, 11426])).
% 1.36/1.54 tff(11428,plain,
% 1.36/1.54 ((cell48 = cell12) <=> (cell48 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11429,plain,
% 1.36/1.54 ((cell48 = cell12) <=> (X!1 = cell48)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11428, 571])).
% 1.36/1.54 tff(11430,plain,
% 1.36/1.54 ((~(cell48 = cell12)) <=> (~(X!1 = cell48))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11429])).
% 1.36/1.54 tff(11431,plain,
% 1.36/1.54 ((~(cell48 = cell12)) <=> (~(cell48 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11432,axiom,(~(cell48 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48600')).
% 1.36/1.54 tff(11433,plain,
% 1.36/1.54 (~(cell48 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11432, 11431])).
% 1.36/1.54 tff(11434,plain,
% 1.36/1.54 (~(X!1 = cell48)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11433, 11430])).
% 1.36/1.54 tff(11435,plain,
% 1.36/1.54 ((~(X!1 = cell48)) | (~(Y!0 = cell49))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[579, 11434])).
% 1.36/1.54 tff(11436,plain,
% 1.36/1.54 ((cell49 = cell12) <=> (cell49 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11437,plain,
% 1.36/1.54 ((cell49 = cell12) <=> (X!1 = cell49)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11436, 581])).
% 1.36/1.54 tff(11438,plain,
% 1.36/1.54 ((~(cell49 = cell12)) <=> (~(X!1 = cell49))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11437])).
% 1.36/1.54 tff(11439,plain,
% 1.36/1.54 ((~(cell49 = cell12)) <=> (~(cell49 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11440,axiom,(~(cell49 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48548')).
% 1.36/1.54 tff(11441,plain,
% 1.36/1.54 (~(cell49 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11440, 11439])).
% 1.36/1.54 tff(11442,plain,
% 1.36/1.54 (~(X!1 = cell49)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11441, 11438])).
% 1.36/1.54 tff(11443,plain,
% 1.36/1.54 ((~(X!1 = cell49)) | (~(Y!0 = cell50))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[589, 11442])).
% 1.36/1.54 tff(11444,plain,
% 1.36/1.54 ((cell51 = cell12) <=> (cell51 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11445,plain,
% 1.36/1.54 ((cell51 = cell12) <=> (X!1 = cell51)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11444, 591])).
% 1.36/1.54 tff(11446,plain,
% 1.36/1.54 ((~(cell51 = cell12)) <=> (~(X!1 = cell51))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11445])).
% 1.36/1.54 tff(11447,plain,
% 1.36/1.54 ((~(cell51 = cell12)) <=> (~(cell51 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11448,axiom,(~(cell51 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48386')).
% 1.36/1.54 tff(11449,plain,
% 1.36/1.54 (~(cell51 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11448, 11447])).
% 1.36/1.54 tff(11450,plain,
% 1.36/1.54 (~(X!1 = cell51)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11449, 11446])).
% 1.36/1.54 tff(11451,plain,
% 1.36/1.54 ((~(X!1 = cell51)) | (~(Y!0 = cell52))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[599, 11450])).
% 1.36/1.54 tff(11452,plain,
% 1.36/1.54 ((cell52 = cell12) <=> (cell52 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11453,plain,
% 1.36/1.54 ((cell52 = cell12) <=> (X!1 = cell52)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11452, 601])).
% 1.36/1.54 tff(11454,plain,
% 1.36/1.54 ((~(cell52 = cell12)) <=> (~(X!1 = cell52))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11453])).
% 1.36/1.54 tff(11455,plain,
% 1.36/1.54 ((~(cell52 = cell12)) <=> (~(cell52 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11456,axiom,(~(cell52 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48441')).
% 1.36/1.54 tff(11457,plain,
% 1.36/1.54 (~(cell52 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11456, 11455])).
% 1.36/1.54 tff(11458,plain,
% 1.36/1.54 (~(X!1 = cell52)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11457, 11454])).
% 1.36/1.54 tff(11459,plain,
% 1.36/1.54 ((~(X!1 = cell52)) | (~(Y!0 = cell53))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[609, 11458])).
% 1.36/1.54 tff(11460,plain,
% 1.36/1.54 ((cell53 = cell12) <=> (cell53 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11461,plain,
% 1.36/1.54 ((cell53 = cell12) <=> (X!1 = cell53)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11460, 611])).
% 1.36/1.54 tff(11462,plain,
% 1.36/1.54 ((~(cell53 = cell12)) <=> (~(X!1 = cell53))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11461])).
% 1.36/1.54 tff(11463,plain,
% 1.36/1.54 ((~(cell53 = cell12)) <=> (~(cell53 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11464,axiom,(~(cell53 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48330')).
% 1.36/1.54 tff(11465,plain,
% 1.36/1.54 (~(cell53 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11464, 11463])).
% 1.36/1.54 tff(11466,plain,
% 1.36/1.54 (~(X!1 = cell53)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11465, 11462])).
% 1.36/1.54 tff(11467,plain,
% 1.36/1.54 ((~(X!1 = cell53)) | (~(Y!0 = cell54))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[619, 11466])).
% 1.36/1.54 tff(11468,plain,
% 1.36/1.54 ((cell54 = cell12) <=> (cell54 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11469,plain,
% 1.36/1.54 ((cell54 = cell12) <=> (X!1 = cell54)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11468, 621])).
% 1.36/1.54 tff(11470,plain,
% 1.36/1.54 ((~(cell54 = cell12)) <=> (~(X!1 = cell54))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11469])).
% 1.36/1.54 tff(11471,plain,
% 1.36/1.54 ((~(cell54 = cell12)) <=> (~(cell54 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11472,axiom,(~(cell54 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48273')).
% 1.36/1.54 tff(11473,plain,
% 1.36/1.54 (~(cell54 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11472, 11471])).
% 1.36/1.54 tff(11474,plain,
% 1.36/1.54 (~(X!1 = cell54)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11473, 11470])).
% 1.36/1.54 tff(11475,plain,
% 1.36/1.54 ((~(X!1 = cell54)) | (~(Y!0 = cell55))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[629, 11474])).
% 1.36/1.54 tff(11476,plain,
% 1.36/1.54 ((cell55 = cell12) <=> (cell55 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11477,plain,
% 1.36/1.54 ((cell55 = cell12) <=> (X!1 = cell55)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11476, 631])).
% 1.36/1.54 tff(11478,plain,
% 1.36/1.54 ((~(cell55 = cell12)) <=> (~(X!1 = cell55))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11477])).
% 1.36/1.54 tff(11479,plain,
% 1.36/1.54 ((~(cell55 = cell12)) <=> (~(cell55 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11480,axiom,(~(cell55 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48215')).
% 1.36/1.54 tff(11481,plain,
% 1.36/1.54 (~(cell55 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11480, 11479])).
% 1.36/1.54 tff(11482,plain,
% 1.36/1.54 (~(X!1 = cell55)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11481, 11478])).
% 1.36/1.54 tff(11483,plain,
% 1.36/1.54 ((~(X!1 = cell55)) | (~(Y!0 = cell56))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[639, 11482])).
% 1.36/1.54 tff(11484,plain,
% 1.36/1.54 ((cell56 = cell12) <=> (cell56 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11485,plain,
% 1.36/1.54 ((cell56 = cell12) <=> (X!1 = cell56)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11484, 641])).
% 1.36/1.54 tff(11486,plain,
% 1.36/1.54 ((~(cell56 = cell12)) <=> (~(X!1 = cell56))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11485])).
% 1.36/1.54 tff(11487,plain,
% 1.36/1.54 ((~(cell56 = cell12)) <=> (~(cell56 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11488,axiom,(~(cell56 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48156')).
% 1.36/1.54 tff(11489,plain,
% 1.36/1.54 (~(cell56 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11488, 11487])).
% 1.36/1.54 tff(11490,plain,
% 1.36/1.54 (~(X!1 = cell56)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11489, 11486])).
% 1.36/1.54 tff(11491,plain,
% 1.36/1.54 ((~(X!1 = cell56)) | (~(Y!0 = cell57))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[649, 11490])).
% 1.36/1.54 tff(11492,plain,
% 1.36/1.54 ((cell57 = cell12) <=> (cell57 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11493,plain,
% 1.36/1.54 ((cell57 = cell12) <=> (X!1 = cell57)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11492, 651])).
% 1.36/1.54 tff(11494,plain,
% 1.36/1.54 ((~(cell57 = cell12)) <=> (~(X!1 = cell57))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11493])).
% 1.36/1.54 tff(11495,plain,
% 1.36/1.54 ((~(cell57 = cell12)) <=> (~(cell57 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11496,axiom,(~(cell57 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48096')).
% 1.36/1.54 tff(11497,plain,
% 1.36/1.54 (~(cell57 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11496, 11495])).
% 1.36/1.54 tff(11498,plain,
% 1.36/1.54 (~(X!1 = cell57)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11497, 11494])).
% 1.36/1.54 tff(11499,plain,
% 1.36/1.54 ((~(X!1 = cell57)) | (~(Y!0 = cell58))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[659, 11498])).
% 1.36/1.54 tff(11500,plain,
% 1.36/1.54 ((cell58 = cell12) <=> (cell58 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11501,plain,
% 1.36/1.54 ((cell58 = cell12) <=> (X!1 = cell58)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11500, 661])).
% 1.36/1.54 tff(11502,plain,
% 1.36/1.54 ((~(cell58 = cell12)) <=> (~(X!1 = cell58))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11501])).
% 1.36/1.54 tff(11503,plain,
% 1.36/1.54 ((~(cell58 = cell12)) <=> (~(cell58 = cell12))),
% 1.36/1.54 inference(rewrite,[status(thm)],[])).
% 1.36/1.54 tff(11504,axiom,(~(cell58 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48035')).
% 1.36/1.54 tff(11505,plain,
% 1.36/1.54 (~(cell58 = cell12)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11504, 11503])).
% 1.36/1.54 tff(11506,plain,
% 1.36/1.54 (~(X!1 = cell58)),
% 1.36/1.54 inference(modus_ponens,[status(thm)],[11505, 11502])).
% 1.36/1.54 tff(11507,plain,
% 1.36/1.54 ((~(X!1 = cell58)) | (~(Y!0 = cell59))),
% 1.36/1.54 inference(unit_resolution,[status(thm)],[669, 11506])).
% 1.36/1.54 tff(11508,plain,
% 1.36/1.54 ((cell59 = cell12) <=> (cell59 = X!1)),
% 1.36/1.54 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.54 tff(11509,plain,
% 1.36/1.54 ((cell59 = cell12) <=> (X!1 = cell59)),
% 1.36/1.54 inference(transitivity,[status(thm)],[11508, 671])).
% 1.36/1.54 tff(11510,plain,
% 1.36/1.54 ((~(cell59 = cell12)) <=> (~(X!1 = cell59))),
% 1.36/1.54 inference(monotonicity,[status(thm)],[11509])).
% 1.36/1.54 tff(11511,plain,
% 1.36/1.54 ((~(cell59 = cell12)) <=> (~(cell59 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11512,axiom,(~(cell59 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47973')).
% 1.36/1.55 tff(11513,plain,
% 1.36/1.55 (~(cell59 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11512, 11511])).
% 1.36/1.55 tff(11514,plain,
% 1.36/1.55 (~(X!1 = cell59)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11513, 11510])).
% 1.36/1.55 tff(11515,plain,
% 1.36/1.55 ((~(X!1 = cell59)) | (~(Y!0 = cell60))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[679, 11514])).
% 1.36/1.55 tff(11516,plain,
% 1.36/1.55 ((cell61 = cell12) <=> (cell61 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11517,plain,
% 1.36/1.55 ((cell61 = cell12) <=> (X!1 = cell61)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11516, 681])).
% 1.36/1.55 tff(11518,plain,
% 1.36/1.55 ((~(cell61 = cell12)) <=> (~(X!1 = cell61))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11517])).
% 1.36/1.55 tff(11519,plain,
% 1.36/1.55 ((~(cell61 = cell12)) <=> (~(cell61 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11520,axiom,(~(cell61 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47781')).
% 1.36/1.55 tff(11521,plain,
% 1.36/1.55 (~(cell61 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11520, 11519])).
% 1.36/1.55 tff(11522,plain,
% 1.36/1.55 (~(X!1 = cell61)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11521, 11518])).
% 1.36/1.55 tff(11523,plain,
% 1.36/1.55 ((~(X!1 = cell61)) | (~(Y!0 = cell62))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[689, 11522])).
% 1.36/1.55 tff(11524,plain,
% 1.36/1.55 ((cell62 = cell12) <=> (cell62 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11525,plain,
% 1.36/1.55 ((cell62 = cell12) <=> (X!1 = cell62)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11524, 691])).
% 1.36/1.55 tff(11526,plain,
% 1.36/1.55 ((~(cell62 = cell12)) <=> (~(X!1 = cell62))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11525])).
% 1.36/1.55 tff(11527,plain,
% 1.36/1.55 ((~(cell62 = cell12)) <=> (~(cell62 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11528,axiom,(~(cell62 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47846')).
% 1.36/1.55 tff(11529,plain,
% 1.36/1.55 (~(cell62 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11528, 11527])).
% 1.36/1.55 tff(11530,plain,
% 1.36/1.55 (~(X!1 = cell62)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11529, 11526])).
% 1.36/1.55 tff(11531,plain,
% 1.36/1.55 ((~(X!1 = cell62)) | (~(Y!0 = cell63))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[699, 11530])).
% 1.36/1.55 tff(11532,plain,
% 1.36/1.55 ((cell63 = cell12) <=> (cell63 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11533,plain,
% 1.36/1.55 ((cell63 = cell12) <=> (X!1 = cell63)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11532, 701])).
% 1.36/1.55 tff(11534,plain,
% 1.36/1.55 ((~(cell63 = cell12)) <=> (~(X!1 = cell63))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11533])).
% 1.36/1.55 tff(11535,plain,
% 1.36/1.55 ((~(cell63 = cell12)) <=> (~(cell63 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11536,axiom,(~(cell63 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47715')).
% 1.36/1.55 tff(11537,plain,
% 1.36/1.55 (~(cell63 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11536, 11535])).
% 1.36/1.55 tff(11538,plain,
% 1.36/1.55 (~(X!1 = cell63)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11537, 11534])).
% 1.36/1.55 tff(11539,plain,
% 1.36/1.55 ((~(X!1 = cell63)) | (~(Y!0 = cell64))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[709, 11538])).
% 1.36/1.55 tff(11540,plain,
% 1.36/1.55 ((cell64 = cell12) <=> (cell64 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11541,plain,
% 1.36/1.55 ((cell64 = cell12) <=> (X!1 = cell64)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11540, 711])).
% 1.36/1.55 tff(11542,plain,
% 1.36/1.55 ((~(cell64 = cell12)) <=> (~(X!1 = cell64))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11541])).
% 1.36/1.55 tff(11543,plain,
% 1.36/1.55 ((~(cell64 = cell12)) <=> (~(cell64 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11544,axiom,(~(cell64 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47648')).
% 1.36/1.55 tff(11545,plain,
% 1.36/1.55 (~(cell64 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11544, 11543])).
% 1.36/1.55 tff(11546,plain,
% 1.36/1.55 (~(X!1 = cell64)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11545, 11542])).
% 1.36/1.55 tff(11547,plain,
% 1.36/1.55 ((~(X!1 = cell64)) | (~(Y!0 = cell65))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[719, 11546])).
% 1.36/1.55 tff(11548,plain,
% 1.36/1.55 ((cell65 = cell12) <=> (cell65 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11549,plain,
% 1.36/1.55 ((cell65 = cell12) <=> (X!1 = cell65)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11548, 721])).
% 1.36/1.55 tff(11550,plain,
% 1.36/1.55 ((~(cell65 = cell12)) <=> (~(X!1 = cell65))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11549])).
% 1.36/1.55 tff(11551,plain,
% 1.36/1.55 ((~(cell65 = cell12)) <=> (~(cell65 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11552,axiom,(~(cell65 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47580')).
% 1.36/1.55 tff(11553,plain,
% 1.36/1.55 (~(cell65 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11552, 11551])).
% 1.36/1.55 tff(11554,plain,
% 1.36/1.55 (~(X!1 = cell65)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11553, 11550])).
% 1.36/1.55 tff(11555,plain,
% 1.36/1.55 ((~(X!1 = cell65)) | (~(Y!0 = cell66))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[729, 11554])).
% 1.36/1.55 tff(11556,plain,
% 1.36/1.55 ((cell66 = cell12) <=> (cell66 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11557,plain,
% 1.36/1.55 ((cell66 = cell12) <=> (X!1 = cell66)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11556, 731])).
% 1.36/1.55 tff(11558,plain,
% 1.36/1.55 ((~(cell66 = cell12)) <=> (~(X!1 = cell66))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11557])).
% 1.36/1.55 tff(11559,plain,
% 1.36/1.55 ((~(cell66 = cell12)) <=> (~(cell66 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11560,axiom,(~(cell66 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47511')).
% 1.36/1.55 tff(11561,plain,
% 1.36/1.55 (~(cell66 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11560, 11559])).
% 1.36/1.55 tff(11562,plain,
% 1.36/1.55 (~(X!1 = cell66)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11561, 11558])).
% 1.36/1.55 tff(11563,plain,
% 1.36/1.55 ((~(X!1 = cell66)) | (~(Y!0 = cell67))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[739, 11562])).
% 1.36/1.55 tff(11564,plain,
% 1.36/1.55 ((cell67 = cell12) <=> (cell67 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11565,plain,
% 1.36/1.55 ((cell67 = cell12) <=> (X!1 = cell67)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11564, 741])).
% 1.36/1.55 tff(11566,plain,
% 1.36/1.55 ((~(cell67 = cell12)) <=> (~(X!1 = cell67))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11565])).
% 1.36/1.55 tff(11567,plain,
% 1.36/1.55 ((~(cell67 = cell12)) <=> (~(cell67 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11568,axiom,(~(cell67 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47441')).
% 1.36/1.55 tff(11569,plain,
% 1.36/1.55 (~(cell67 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11568, 11567])).
% 1.36/1.55 tff(11570,plain,
% 1.36/1.55 (~(X!1 = cell67)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11569, 11566])).
% 1.36/1.55 tff(11571,plain,
% 1.36/1.55 ((~(X!1 = cell67)) | (~(Y!0 = cell68))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[749, 11570])).
% 1.36/1.55 tff(11572,plain,
% 1.36/1.55 ((cell68 = cell12) <=> (cell68 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11573,plain,
% 1.36/1.55 ((cell68 = cell12) <=> (X!1 = cell68)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11572, 751])).
% 1.36/1.55 tff(11574,plain,
% 1.36/1.55 ((~(cell68 = cell12)) <=> (~(X!1 = cell68))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11573])).
% 1.36/1.55 tff(11575,plain,
% 1.36/1.55 ((~(cell68 = cell12)) <=> (~(cell68 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11576,axiom,(~(cell68 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47370')).
% 1.36/1.55 tff(11577,plain,
% 1.36/1.55 (~(cell68 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11576, 11575])).
% 1.36/1.55 tff(11578,plain,
% 1.36/1.55 (~(X!1 = cell68)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11577, 11574])).
% 1.36/1.55 tff(11579,plain,
% 1.36/1.55 ((~(X!1 = cell68)) | (~(Y!0 = cell69))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[759, 11578])).
% 1.36/1.55 tff(11580,plain,
% 1.36/1.55 ((cell69 = cell12) <=> (cell69 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11581,plain,
% 1.36/1.55 ((cell69 = cell12) <=> (X!1 = cell69)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11580, 761])).
% 1.36/1.55 tff(11582,plain,
% 1.36/1.55 ((~(cell69 = cell12)) <=> (~(X!1 = cell69))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11581])).
% 1.36/1.55 tff(11583,plain,
% 1.36/1.55 ((~(cell69 = cell12)) <=> (~(cell69 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11584,axiom,(~(cell69 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47298')).
% 1.36/1.55 tff(11585,plain,
% 1.36/1.55 (~(cell69 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11584, 11583])).
% 1.36/1.55 tff(11586,plain,
% 1.36/1.55 (~(X!1 = cell69)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11585, 11582])).
% 1.36/1.55 tff(11587,plain,
% 1.36/1.55 ((~(X!1 = cell69)) | (~(Y!0 = cell70))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[769, 11586])).
% 1.36/1.55 tff(11588,plain,
% 1.36/1.55 ((cell71 = cell12) <=> (cell71 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11589,plain,
% 1.36/1.55 ((cell71 = cell12) <=> (X!1 = cell71)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11588, 771])).
% 1.36/1.55 tff(11590,plain,
% 1.36/1.55 ((~(cell71 = cell12)) <=> (~(X!1 = cell71))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11589])).
% 1.36/1.55 tff(11591,plain,
% 1.36/1.55 ((~(cell71 = cell12)) <=> (~(cell71 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11592,axiom,(~(cell71 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47076')).
% 1.36/1.55 tff(11593,plain,
% 1.36/1.55 (~(cell71 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11592, 11591])).
% 1.36/1.55 tff(11594,plain,
% 1.36/1.55 (~(X!1 = cell71)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11593, 11590])).
% 1.36/1.55 tff(11595,plain,
% 1.36/1.55 ((~(X!1 = cell71)) | (~(Y!0 = cell72))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[779, 11594])).
% 1.36/1.55 tff(11596,plain,
% 1.36/1.55 ((cell72 = cell12) <=> (cell72 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11597,plain,
% 1.36/1.55 ((cell72 = cell12) <=> (X!1 = cell72)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11596, 781])).
% 1.36/1.55 tff(11598,plain,
% 1.36/1.55 ((~(cell72 = cell12)) <=> (~(X!1 = cell72))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11597])).
% 1.36/1.55 tff(11599,plain,
% 1.36/1.55 ((~(cell72 = cell12)) <=> (~(cell72 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11600,axiom,(~(cell72 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47151')).
% 1.36/1.55 tff(11601,plain,
% 1.36/1.55 (~(cell72 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11600, 11599])).
% 1.36/1.55 tff(11602,plain,
% 1.36/1.55 (~(X!1 = cell72)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11601, 11598])).
% 1.36/1.55 tff(11603,plain,
% 1.36/1.55 ((~(X!1 = cell72)) | (~(Y!0 = cell73))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[789, 11602])).
% 1.36/1.55 tff(11604,plain,
% 1.36/1.55 ((cell73 = cell12) <=> (cell73 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11605,plain,
% 1.36/1.55 ((cell73 = cell12) <=> (X!1 = cell73)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11604, 791])).
% 1.36/1.55 tff(11606,plain,
% 1.36/1.55 ((~(cell73 = cell12)) <=> (~(X!1 = cell73))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11605])).
% 1.36/1.55 tff(11607,plain,
% 1.36/1.55 ((~(cell73 = cell12)) <=> (~(cell73 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11608,axiom,(~(cell73 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47000')).
% 1.36/1.55 tff(11609,plain,
% 1.36/1.55 (~(cell73 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11608, 11607])).
% 1.36/1.55 tff(11610,plain,
% 1.36/1.55 (~(X!1 = cell73)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11609, 11606])).
% 1.36/1.55 tff(11611,plain,
% 1.36/1.55 ((~(X!1 = cell73)) | (~(Y!0 = cell74))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[799, 11610])).
% 1.36/1.55 tff(11612,plain,
% 1.36/1.55 ((cell74 = cell12) <=> (cell74 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11613,plain,
% 1.36/1.55 ((cell74 = cell12) <=> (X!1 = cell74)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11612, 801])).
% 1.36/1.55 tff(11614,plain,
% 1.36/1.55 ((~(cell74 = cell12)) <=> (~(X!1 = cell74))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11613])).
% 1.36/1.55 tff(11615,plain,
% 1.36/1.55 ((~(cell74 = cell12)) <=> (~(cell74 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11616,axiom,(~(cell74 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46923')).
% 1.36/1.55 tff(11617,plain,
% 1.36/1.55 (~(cell74 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11616, 11615])).
% 1.36/1.55 tff(11618,plain,
% 1.36/1.55 (~(X!1 = cell74)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11617, 11614])).
% 1.36/1.55 tff(11619,plain,
% 1.36/1.55 ((~(X!1 = cell74)) | (~(Y!0 = cell75))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[809, 11618])).
% 1.36/1.55 tff(11620,plain,
% 1.36/1.55 ((cell75 = cell12) <=> (cell75 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11621,plain,
% 1.36/1.55 ((cell75 = cell12) <=> (X!1 = cell75)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11620, 811])).
% 1.36/1.55 tff(11622,plain,
% 1.36/1.55 ((~(cell75 = cell12)) <=> (~(X!1 = cell75))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11621])).
% 1.36/1.55 tff(11623,plain,
% 1.36/1.55 ((~(cell75 = cell12)) <=> (~(cell75 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11624,axiom,(~(cell75 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46845')).
% 1.36/1.55 tff(11625,plain,
% 1.36/1.55 (~(cell75 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11624, 11623])).
% 1.36/1.55 tff(11626,plain,
% 1.36/1.55 (~(X!1 = cell75)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11625, 11622])).
% 1.36/1.55 tff(11627,plain,
% 1.36/1.55 ((~(X!1 = cell75)) | (~(Y!0 = cell76))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[819, 11626])).
% 1.36/1.55 tff(11628,plain,
% 1.36/1.55 ((cell76 = cell12) <=> (cell76 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11629,plain,
% 1.36/1.55 ((cell76 = cell12) <=> (X!1 = cell76)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11628, 821])).
% 1.36/1.55 tff(11630,plain,
% 1.36/1.55 ((~(cell76 = cell12)) <=> (~(X!1 = cell76))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11629])).
% 1.36/1.55 tff(11631,plain,
% 1.36/1.55 ((~(cell76 = cell12)) <=> (~(cell76 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11632,axiom,(~(cell76 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46766')).
% 1.36/1.55 tff(11633,plain,
% 1.36/1.55 (~(cell76 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11632, 11631])).
% 1.36/1.55 tff(11634,plain,
% 1.36/1.55 (~(X!1 = cell76)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11633, 11630])).
% 1.36/1.55 tff(11635,plain,
% 1.36/1.55 ((~(X!1 = cell76)) | (~(Y!0 = cell77))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[829, 11634])).
% 1.36/1.55 tff(11636,plain,
% 1.36/1.55 ((cell77 = cell12) <=> (cell77 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11637,plain,
% 1.36/1.55 ((cell77 = cell12) <=> (X!1 = cell77)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11636, 831])).
% 1.36/1.55 tff(11638,plain,
% 1.36/1.55 ((~(cell77 = cell12)) <=> (~(X!1 = cell77))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11637])).
% 1.36/1.55 tff(11639,plain,
% 1.36/1.55 ((~(cell77 = cell12)) <=> (~(cell77 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11640,axiom,(~(cell77 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46686')).
% 1.36/1.55 tff(11641,plain,
% 1.36/1.55 (~(cell77 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11640, 11639])).
% 1.36/1.55 tff(11642,plain,
% 1.36/1.55 (~(X!1 = cell77)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11641, 11638])).
% 1.36/1.55 tff(11643,plain,
% 1.36/1.55 ((~(X!1 = cell77)) | (~(Y!0 = cell78))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[839, 11642])).
% 1.36/1.55 tff(11644,plain,
% 1.36/1.55 ((cell78 = cell12) <=> (cell78 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11645,plain,
% 1.36/1.55 ((cell78 = cell12) <=> (X!1 = cell78)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11644, 841])).
% 1.36/1.55 tff(11646,plain,
% 1.36/1.55 ((~(cell78 = cell12)) <=> (~(X!1 = cell78))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11645])).
% 1.36/1.55 tff(11647,plain,
% 1.36/1.55 ((~(cell78 = cell12)) <=> (~(cell78 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11648,axiom,(~(cell78 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46605')).
% 1.36/1.55 tff(11649,plain,
% 1.36/1.55 (~(cell78 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11648, 11647])).
% 1.36/1.55 tff(11650,plain,
% 1.36/1.55 (~(X!1 = cell78)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11649, 11646])).
% 1.36/1.55 tff(11651,plain,
% 1.36/1.55 ((~(X!1 = cell78)) | (~(Y!0 = cell79))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[849, 11650])).
% 1.36/1.55 tff(11652,plain,
% 1.36/1.55 ((cell79 = cell12) <=> (cell79 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11653,plain,
% 1.36/1.55 ((cell79 = cell12) <=> (X!1 = cell79)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11652, 851])).
% 1.36/1.55 tff(11654,plain,
% 1.36/1.55 ((~(cell79 = cell12)) <=> (~(X!1 = cell79))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11653])).
% 1.36/1.55 tff(11655,plain,
% 1.36/1.55 (~(X!1 = cell79)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[2177, 11654])).
% 1.36/1.55 tff(11656,plain,
% 1.36/1.55 ((~(X!1 = cell79)) | (~(Y!0 = cell80))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[859, 11655])).
% 1.36/1.55 tff(11657,plain,
% 1.36/1.55 ((cell81 = cell12) <=> (cell81 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11658,plain,
% 1.36/1.55 ((cell81 = cell12) <=> (X!1 = cell81)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11657, 861])).
% 1.36/1.55 tff(11659,plain,
% 1.36/1.55 ((~(cell81 = cell12)) <=> (~(X!1 = cell81))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11658])).
% 1.36/1.55 tff(11660,plain,
% 1.36/1.55 ((~(cell81 = cell12)) <=> (~(cell81 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11661,axiom,(~(cell81 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46356')).
% 1.36/1.55 tff(11662,plain,
% 1.36/1.55 (~(cell81 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11661, 11660])).
% 1.36/1.55 tff(11663,plain,
% 1.36/1.55 (~(X!1 = cell81)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11662, 11659])).
% 1.36/1.55 tff(11664,plain,
% 1.36/1.55 ((~(X!1 = cell81)) | (~(Y!0 = cell82))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[869, 11663])).
% 1.36/1.55 tff(11665,plain,
% 1.36/1.55 ((cell82 = cell12) <=> (cell82 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11666,plain,
% 1.36/1.55 ((cell82 = cell12) <=> (X!1 = cell82)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11665, 871])).
% 1.36/1.55 tff(11667,plain,
% 1.36/1.55 ((~(cell82 = cell12)) <=> (~(X!1 = cell82))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11666])).
% 1.36/1.55 tff(11668,plain,
% 1.36/1.55 ((~(cell82 = cell12)) <=> (~(cell82 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11669,axiom,(~(cell82 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46440')).
% 1.36/1.55 tff(11670,plain,
% 1.36/1.55 (~(cell82 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11669, 11668])).
% 1.36/1.55 tff(11671,plain,
% 1.36/1.55 (~(X!1 = cell82)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11670, 11667])).
% 1.36/1.55 tff(11672,plain,
% 1.36/1.55 ((~(X!1 = cell82)) | (~(Y!0 = cell83))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[879, 11671])).
% 1.36/1.55 tff(11673,plain,
% 1.36/1.55 ((cell83 = cell12) <=> (cell83 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11674,plain,
% 1.36/1.55 ((cell83 = cell12) <=> (X!1 = cell83)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11673, 881])).
% 1.36/1.55 tff(11675,plain,
% 1.36/1.55 ((~(cell83 = cell12)) <=> (~(X!1 = cell83))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11674])).
% 1.36/1.55 tff(11676,plain,
% 1.36/1.55 ((~(cell83 = cell12)) <=> (~(cell83 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11677,axiom,(~(cell83 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46271')).
% 1.36/1.55 tff(11678,plain,
% 1.36/1.55 (~(cell83 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11677, 11676])).
% 1.36/1.55 tff(11679,plain,
% 1.36/1.55 (~(X!1 = cell83)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11678, 11675])).
% 1.36/1.55 tff(11680,plain,
% 1.36/1.55 ((~(X!1 = cell83)) | (~(Y!0 = cell84))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[889, 11679])).
% 1.36/1.55 tff(11681,plain,
% 1.36/1.55 ((~(X!1 = cell84)) | (~(Y!0 = cell85))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[899, 11180])).
% 1.36/1.55 tff(11682,plain,
% 1.36/1.55 ((cell85 = cell12) <=> (cell85 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11683,plain,
% 1.36/1.55 ((cell85 = cell12) <=> (X!1 = cell85)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11682, 901])).
% 1.36/1.55 tff(11684,plain,
% 1.36/1.55 ((~(cell85 = cell12)) <=> (~(X!1 = cell85))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11683])).
% 1.36/1.55 tff(11685,plain,
% 1.36/1.55 ((~(cell85 = cell12)) <=> (~(cell85 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11686,axiom,(~(cell85 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof46098')).
% 1.36/1.55 tff(11687,plain,
% 1.36/1.55 (~(cell85 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11686, 11685])).
% 1.36/1.55 tff(11688,plain,
% 1.36/1.55 (~(X!1 = cell85)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11687, 11684])).
% 1.36/1.55 tff(11689,plain,
% 1.36/1.55 ((~(X!1 = cell85)) | (~(Y!0 = cell86))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[909, 11688])).
% 1.36/1.55 tff(11690,plain,
% 1.36/1.55 ((~(X!1 = cell86)) | (~(Y!0 = cell87))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[911, 11147])).
% 1.36/1.55 tff(11691,plain,
% 1.36/1.55 ((~(X!1 = cell78)) | (~(Y!0 = cell88))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[913, 11650])).
% 1.36/1.55 tff(11692,plain,
% 1.36/1.55 ((cell88 = cell12) <=> (cell88 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11693,plain,
% 1.36/1.55 ((cell88 = cell12) <=> (X!1 = cell88)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11692, 915])).
% 1.36/1.55 tff(11694,plain,
% 1.36/1.55 ((~(cell88 = cell12)) <=> (~(X!1 = cell88))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11693])).
% 1.36/1.55 tff(11695,plain,
% 1.36/1.55 (~(X!1 = cell88)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[2190, 11694])).
% 1.36/1.55 tff(11696,plain,
% 1.36/1.55 ((~(X!1 = cell88)) | (~(Y!0 = cell89))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[923, 11695])).
% 1.36/1.55 tff(11697,plain,
% 1.36/1.55 ((~(X!1 = cell2)) | (~(Y!0 = cell3))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1203, 11187])).
% 1.36/1.55 tff(11698,plain,
% 1.36/1.55 ((cell91 = cell12) <=> (cell91 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11699,plain,
% 1.36/1.55 ((cell91 = cell12) <=> (X!1 = cell91)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11698, 935])).
% 1.36/1.55 tff(11700,plain,
% 1.36/1.55 ((~(cell91 = cell12)) <=> (~(X!1 = cell91))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11699])).
% 1.36/1.55 tff(11701,plain,
% 1.36/1.55 ((~(cell91 = cell12)) <=> (~(cell91 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11702,axiom,(~(cell91 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45740')).
% 1.36/1.55 tff(11703,plain,
% 1.36/1.55 (~(cell91 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11702, 11701])).
% 1.36/1.55 tff(11704,plain,
% 1.36/1.55 (~(X!1 = cell91)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11703, 11700])).
% 1.36/1.55 tff(11705,plain,
% 1.36/1.55 ((~(X!1 = cell91)) | (~(Y!0 = cell92))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[943, 11704])).
% 1.36/1.55 tff(11706,plain,
% 1.36/1.55 ((~(X!1 = cell92)) | (~(Y!0 = cell93))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[945, 10997])).
% 1.36/1.55 tff(11707,plain,
% 1.36/1.55 ((~(X!1 = cell93)) | (~(Y!0 = cell94))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[947, 11005])).
% 1.36/1.55 tff(11708,plain,
% 1.36/1.55 ((~(X!1 = cell94)) | (~(Y!0 = cell95))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[949, 11013])).
% 1.36/1.55 tff(11709,plain,
% 1.36/1.55 ((~(X!1 = cell95)) | (~(Y!0 = cell96))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[951, 11021])).
% 1.36/1.55 tff(11710,plain,
% 1.36/1.55 ((~(X!1 = cell96)) | (~(Y!0 = cell97))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[953, 11029])).
% 1.36/1.55 tff(11711,plain,
% 1.36/1.55 ((~(X!1 = cell97)) | (~(Y!0 = cell98))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[955, 11037])).
% 1.36/1.55 tff(11712,plain,
% 1.36/1.55 ((cell87 = cell12) <=> (cell87 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11713,plain,
% 1.36/1.55 ((cell87 = cell12) <=> (X!1 = cell87)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11712, 957])).
% 1.36/1.55 tff(11714,plain,
% 1.36/1.55 ((~(cell87 = cell12)) <=> (~(X!1 = cell87))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11713])).
% 1.36/1.55 tff(11715,plain,
% 1.36/1.55 ((~(cell87 = cell12)) <=> (~(cell87 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11716,axiom,(~(cell87 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45921')).
% 1.36/1.55 tff(11717,plain,
% 1.36/1.55 (~(cell87 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11716, 11715])).
% 1.36/1.55 tff(11718,plain,
% 1.36/1.55 (~(X!1 = cell87)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11717, 11714])).
% 1.36/1.55 tff(11719,plain,
% 1.36/1.55 ((~(X!1 = cell87)) | (~(Y!0 = cell97))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[965, 11718])).
% 1.36/1.55 tff(11720,plain,
% 1.36/1.55 ((~(X!1 = cell99)) | (~(Y!0 = cell100))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[967, 11050])).
% 1.36/1.55 tff(11721,plain,
% 1.36/1.55 ((~(X!1 = cell1)) | (~(Y!0 = cell11))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[969, 11155])).
% 1.36/1.55 tff(11722,plain,
% 1.36/1.55 ((~(X!1 = cell11)) | (~(Y!0 = cell21))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[971, 10989])).
% 1.36/1.55 tff(11723,plain,
% 1.36/1.55 ((~(X!1 = cell3)) | (~(Y!0 = cell13))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[973, 11083])).
% 1.36/1.55 tff(11724,plain,
% 1.36/1.55 ((~(X!1 = cell4)) | (~(Y!0 = cell14))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[975, 11091])).
% 1.36/1.55 tff(11725,plain,
% 1.36/1.55 ((~(X!1 = cell5)) | (~(Y!0 = cell15))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[977, 11099])).
% 1.36/1.55 tff(11726,plain,
% 1.36/1.55 ((~(X!1 = cell6)) | (~(Y!0 = cell16))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[979, 11107])).
% 1.36/1.55 tff(11727,plain,
% 1.36/1.55 ((~(X!1 = cell7)) | (~(Y!0 = cell17))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[981, 11115])).
% 1.36/1.55 tff(11728,plain,
% 1.36/1.55 ((~(X!1 = cell8)) | (~(Y!0 = cell18))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[983, 11123])).
% 1.36/1.55 tff(11729,plain,
% 1.36/1.55 ((~(X!1 = cell9)) | (~(Y!0 = cell19))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[985, 11131])).
% 1.36/1.55 tff(11730,plain,
% 1.36/1.55 ((~(X!1 = cell10)) | (~(Y!0 = cell20))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[987, 11139])).
% 1.36/1.55 tff(11731,plain,
% 1.36/1.55 ((~(X!1 = cell88)) | (~(Y!0 = cell98))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[989, 11695])).
% 1.36/1.55 tff(11732,plain,
% 1.36/1.55 ((~(X!1 = cell79)) | (~(Y!0 = cell89))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[991, 11655])).
% 1.36/1.55 tff(11733,plain,
% 1.36/1.55 ((~(X!1 = cell89)) | (~(Y!0 = cell99))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[993, 11160])).
% 1.36/1.55 tff(11734,plain,
% 1.36/1.55 ((~(X!1 = cell14)) | (~(Y!0 = cell24))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[995, 11195])).
% 1.36/1.55 tff(11735,plain,
% 1.36/1.55 ((~(X!1 = cell15)) | (~(Y!0 = cell25))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[997, 11203])).
% 1.36/1.55 tff(11736,plain,
% 1.36/1.55 ((~(X!1 = cell16)) | (~(Y!0 = cell26))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[999, 11211])).
% 1.36/1.55 tff(11737,plain,
% 1.36/1.55 ((~(X!1 = cell17)) | (~(Y!0 = cell27))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1001, 11219])).
% 1.36/1.55 tff(11738,plain,
% 1.36/1.55 ((~(X!1 = cell18)) | (~(Y!0 = cell28))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1003, 11227])).
% 1.36/1.55 tff(11739,plain,
% 1.36/1.55 ((~(X!1 = cell19)) | (~(Y!0 = cell29))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1005, 11235])).
% 1.36/1.55 tff(11740,plain,
% 1.36/1.55 ((cell20 = cell12) <=> (cell20 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11741,plain,
% 1.36/1.55 ((cell20 = cell12) <=> (X!1 = cell20)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11740, 1007])).
% 1.36/1.55 tff(11742,plain,
% 1.36/1.55 ((~(cell20 = cell12)) <=> (~(X!1 = cell20))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11741])).
% 1.36/1.55 tff(11743,plain,
% 1.36/1.55 ((~(cell20 = cell12)) <=> (~(cell20 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11744,axiom,(~(cell20 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49626')).
% 1.36/1.55 tff(11745,plain,
% 1.36/1.55 (~(cell20 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11744, 11743])).
% 1.36/1.55 tff(11746,plain,
% 1.36/1.55 (~(X!1 = cell20)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11745, 11742])).
% 1.36/1.55 tff(11747,plain,
% 1.36/1.55 ((~(X!1 = cell20)) | (~(Y!0 = cell30))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1015, 11746])).
% 1.36/1.55 tff(11748,plain,
% 1.36/1.55 ((~(X!1 = cell69)) | (~(Y!0 = cell79))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1205, 11586])).
% 1.36/1.55 tff(11749,plain,
% 1.36/1.55 ((~(X!1 = cell22)) | (~(Y!0 = cell32))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1027, 11242])).
% 1.36/1.55 tff(11750,plain,
% 1.36/1.55 ((~(X!1 = cell23)) | (~(Y!0 = cell33))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1029, 11250])).
% 1.36/1.55 tff(11751,plain,
% 1.36/1.55 ((~(X!1 = cell24)) | (~(Y!0 = cell34))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1031, 11258])).
% 1.36/1.55 tff(11752,plain,
% 1.36/1.55 ((~(X!1 = cell25)) | (~(Y!0 = cell35))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1033, 11266])).
% 1.36/1.55 tff(11753,plain,
% 1.36/1.55 ((~(X!1 = cell26)) | (~(Y!0 = cell36))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1035, 11274])).
% 1.36/1.55 tff(11754,plain,
% 1.36/1.55 ((~(X!1 = cell27)) | (~(Y!0 = cell37))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1037, 11282])).
% 1.36/1.55 tff(11755,plain,
% 1.36/1.55 ((~(X!1 = cell28)) | (~(Y!0 = cell38))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1039, 11290])).
% 1.36/1.55 tff(11756,plain,
% 1.36/1.55 ((~(X!1 = cell29)) | (~(Y!0 = cell39))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1041, 11298])).
% 1.36/1.55 tff(11757,plain,
% 1.36/1.55 ((cell30 = cell12) <=> (cell30 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11758,plain,
% 1.36/1.55 ((cell30 = cell12) <=> (X!1 = cell30)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11757, 1043])).
% 1.36/1.55 tff(11759,plain,
% 1.36/1.55 ((~(cell30 = cell12)) <=> (~(X!1 = cell30))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11758])).
% 1.36/1.55 tff(11760,plain,
% 1.36/1.55 ((~(cell30 = cell12)) <=> (~(cell30 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11761,axiom,(~(cell30 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49365')).
% 1.36/1.55 tff(11762,plain,
% 1.36/1.55 (~(cell30 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11761, 11760])).
% 1.36/1.55 tff(11763,plain,
% 1.36/1.55 (~(X!1 = cell30)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11762, 11759])).
% 1.36/1.55 tff(11764,plain,
% 1.36/1.55 ((~(X!1 = cell30)) | (~(Y!0 = cell40))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1051, 11763])).
% 1.36/1.55 tff(11765,plain,
% 1.36/1.55 ((~(X!1 = cell31)) | (~(Y!0 = cell41))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1053, 11306])).
% 1.36/1.55 tff(11766,plain,
% 1.36/1.55 ((~(X!1 = cell32)) | (~(Y!0 = cell42))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1055, 11314])).
% 1.36/1.55 tff(11767,plain,
% 1.36/1.55 ((~(X!1 = cell33)) | (~(Y!0 = cell43))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1057, 11322])).
% 1.36/1.55 tff(11768,plain,
% 1.36/1.55 ((~(X!1 = cell34)) | (~(Y!0 = cell44))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1059, 11330])).
% 1.36/1.55 tff(11769,plain,
% 1.36/1.55 ((~(X!1 = cell35)) | (~(Y!0 = cell45))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1061, 11338])).
% 1.36/1.55 tff(11770,plain,
% 1.36/1.55 ((~(X!1 = cell36)) | (~(Y!0 = cell46))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1063, 11346])).
% 1.36/1.55 tff(11771,plain,
% 1.36/1.55 ((~(X!1 = cell37)) | (~(Y!0 = cell47))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1065, 11354])).
% 1.36/1.55 tff(11772,plain,
% 1.36/1.55 ((~(X!1 = cell38)) | (~(Y!0 = cell48))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1067, 11362])).
% 1.36/1.55 tff(11773,plain,
% 1.36/1.55 ((~(X!1 = cell39)) | (~(Y!0 = cell49))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1069, 11370])).
% 1.36/1.55 tff(11774,plain,
% 1.36/1.55 ((cell40 = cell12) <=> (cell40 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11775,plain,
% 1.36/1.55 ((cell40 = cell12) <=> (X!1 = cell40)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11774, 1071])).
% 1.36/1.55 tff(11776,plain,
% 1.36/1.55 ((~(cell40 = cell12)) <=> (~(X!1 = cell40))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11775])).
% 1.36/1.55 tff(11777,plain,
% 1.36/1.55 ((~(cell40 = cell12)) <=> (~(cell40 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11778,axiom,(~(cell40 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48980')).
% 1.36/1.55 tff(11779,plain,
% 1.36/1.55 (~(cell40 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11778, 11777])).
% 1.36/1.55 tff(11780,plain,
% 1.36/1.55 (~(X!1 = cell40)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11779, 11776])).
% 1.36/1.55 tff(11781,plain,
% 1.36/1.55 ((~(X!1 = cell40)) | (~(Y!0 = cell50))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1079, 11780])).
% 1.36/1.55 tff(11782,plain,
% 1.36/1.55 ((~(X!1 = cell41)) | (~(Y!0 = cell51))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1081, 11378])).
% 1.36/1.55 tff(11783,plain,
% 1.36/1.55 ((~(X!1 = cell42)) | (~(Y!0 = cell52))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1083, 11386])).
% 1.36/1.55 tff(11784,plain,
% 1.36/1.55 ((~(X!1 = cell43)) | (~(Y!0 = cell53))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1085, 11394])).
% 1.36/1.55 tff(11785,plain,
% 1.36/1.55 ((~(X!1 = cell44)) | (~(Y!0 = cell54))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1087, 11402])).
% 1.36/1.55 tff(11786,plain,
% 1.36/1.55 ((~(X!1 = cell45)) | (~(Y!0 = cell55))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1089, 11410])).
% 1.36/1.55 tff(11787,plain,
% 1.36/1.55 ((~(X!1 = cell46)) | (~(Y!0 = cell56))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1091, 11418])).
% 1.36/1.55 tff(11788,plain,
% 1.36/1.55 ((~(X!1 = cell47)) | (~(Y!0 = cell57))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1093, 11426])).
% 1.36/1.55 tff(11789,plain,
% 1.36/1.55 ((~(X!1 = cell48)) | (~(Y!0 = cell58))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1095, 11434])).
% 1.36/1.55 tff(11790,plain,
% 1.36/1.55 ((~(X!1 = cell49)) | (~(Y!0 = cell59))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1097, 11442])).
% 1.36/1.55 tff(11791,plain,
% 1.36/1.55 ((cell50 = cell12) <=> (cell50 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11792,plain,
% 1.36/1.55 ((cell50 = cell12) <=> (X!1 = cell50)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11791, 1099])).
% 1.36/1.55 tff(11793,plain,
% 1.36/1.55 ((~(cell50 = cell12)) <=> (~(X!1 = cell50))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11792])).
% 1.36/1.55 tff(11794,plain,
% 1.36/1.55 ((~(cell50 = cell12)) <=> (~(cell50 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11795,axiom,(~(cell50 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof48495')).
% 1.36/1.55 tff(11796,plain,
% 1.36/1.55 (~(cell50 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11795, 11794])).
% 1.36/1.55 tff(11797,plain,
% 1.36/1.55 (~(X!1 = cell50)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11796, 11793])).
% 1.36/1.55 tff(11798,plain,
% 1.36/1.55 ((~(X!1 = cell50)) | (~(Y!0 = cell60))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1107, 11797])).
% 1.36/1.55 tff(11799,plain,
% 1.36/1.55 ((~(X!1 = cell51)) | (~(Y!0 = cell61))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1109, 11450])).
% 1.36/1.55 tff(11800,plain,
% 1.36/1.55 ((~(X!1 = cell52)) | (~(Y!0 = cell62))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1111, 11458])).
% 1.36/1.55 tff(11801,plain,
% 1.36/1.55 ((~(X!1 = cell53)) | (~(Y!0 = cell63))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1113, 11466])).
% 1.36/1.55 tff(11802,plain,
% 1.36/1.55 ((~(X!1 = cell54)) | (~(Y!0 = cell64))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1115, 11474])).
% 1.36/1.55 tff(11803,plain,
% 1.36/1.55 ((~(X!1 = cell55)) | (~(Y!0 = cell65))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1117, 11482])).
% 1.36/1.55 tff(11804,plain,
% 1.36/1.55 ((~(X!1 = cell56)) | (~(Y!0 = cell66))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1119, 11490])).
% 1.36/1.55 tff(11805,plain,
% 1.36/1.55 ((~(X!1 = cell57)) | (~(Y!0 = cell67))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1121, 11498])).
% 1.36/1.55 tff(11806,plain,
% 1.36/1.55 ((~(X!1 = cell58)) | (~(Y!0 = cell68))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1123, 11506])).
% 1.36/1.55 tff(11807,plain,
% 1.36/1.55 ((~(X!1 = cell59)) | (~(Y!0 = cell69))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1125, 11514])).
% 1.36/1.55 tff(11808,plain,
% 1.36/1.55 ((cell60 = cell12) <=> (cell60 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11809,plain,
% 1.36/1.55 ((cell60 = cell12) <=> (X!1 = cell60)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11808, 1127])).
% 1.36/1.55 tff(11810,plain,
% 1.36/1.55 ((~(cell60 = cell12)) <=> (~(X!1 = cell60))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11809])).
% 1.36/1.55 tff(11811,plain,
% 1.36/1.55 ((~(cell60 = cell12)) <=> (~(cell60 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11812,axiom,(~(cell60 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47910')).
% 1.36/1.55 tff(11813,plain,
% 1.36/1.55 (~(cell60 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11812, 11811])).
% 1.36/1.55 tff(11814,plain,
% 1.36/1.55 (~(X!1 = cell60)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11813, 11810])).
% 1.36/1.55 tff(11815,plain,
% 1.36/1.55 ((~(X!1 = cell60)) | (~(Y!0 = cell70))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1135, 11814])).
% 1.36/1.55 tff(11816,plain,
% 1.36/1.55 ((~(X!1 = cell61)) | (~(Y!0 = cell71))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1137, 11522])).
% 1.36/1.55 tff(11817,plain,
% 1.36/1.55 ((~(X!1 = cell62)) | (~(Y!0 = cell72))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1139, 11530])).
% 1.36/1.55 tff(11818,plain,
% 1.36/1.55 ((~(X!1 = cell63)) | (~(Y!0 = cell73))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1141, 11538])).
% 1.36/1.55 tff(11819,plain,
% 1.36/1.55 ((~(X!1 = cell64)) | (~(Y!0 = cell74))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1143, 11546])).
% 1.36/1.55 tff(11820,plain,
% 1.36/1.55 ((~(X!1 = cell65)) | (~(Y!0 = cell75))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1145, 11554])).
% 1.36/1.55 tff(11821,plain,
% 1.36/1.55 ((~(X!1 = cell66)) | (~(Y!0 = cell76))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1147, 11562])).
% 1.36/1.55 tff(11822,plain,
% 1.36/1.55 ((~(X!1 = cell67)) | (~(Y!0 = cell77))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1149, 11570])).
% 1.36/1.55 tff(11823,plain,
% 1.36/1.55 ((~(X!1 = cell68)) | (~(Y!0 = cell78))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1151, 11578])).
% 1.36/1.55 tff(11824,plain,
% 1.36/1.55 ((~(X!1 = cell11)) | (~(Y!0 = cell12))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1153, 10989])).
% 1.36/1.55 tff(11825,plain,
% 1.36/1.55 ((cell70 = cell12) <=> (cell70 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11826,plain,
% 1.36/1.55 ((cell70 = cell12) <=> (X!1 = cell70)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11825, 1155])).
% 1.36/1.55 tff(11827,plain,
% 1.36/1.55 ((~(cell70 = cell12)) <=> (~(X!1 = cell70))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11826])).
% 1.36/1.55 tff(11828,plain,
% 1.36/1.55 ((~(cell70 = cell12)) <=> (~(cell70 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11829,axiom,(~(cell70 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof47225')).
% 1.36/1.55 tff(11830,plain,
% 1.36/1.55 (~(cell70 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11829, 11828])).
% 1.36/1.55 tff(11831,plain,
% 1.36/1.55 (~(X!1 = cell70)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11830, 11827])).
% 1.36/1.55 tff(11832,plain,
% 1.36/1.55 ((~(X!1 = cell70)) | (~(Y!0 = cell80))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1163, 11831])).
% 1.36/1.55 tff(11833,plain,
% 1.36/1.55 ((~(X!1 = cell71)) | (~(Y!0 = cell81))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1165, 11594])).
% 1.36/1.55 tff(11834,plain,
% 1.36/1.55 ((~(X!1 = cell72)) | (~(Y!0 = cell82))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1167, 11602])).
% 1.36/1.55 tff(11835,plain,
% 1.36/1.55 ((~(X!1 = cell73)) | (~(Y!0 = cell83))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1169, 11610])).
% 1.36/1.55 tff(11836,plain,
% 1.36/1.55 ((~(X!1 = cell74)) | (~(Y!0 = cell84))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1171, 11618])).
% 1.36/1.55 tff(11837,plain,
% 1.36/1.55 ((~(X!1 = cell75)) | (~(Y!0 = cell85))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1173, 11626])).
% 1.36/1.55 tff(11838,plain,
% 1.36/1.55 ((~(X!1 = cell76)) | (~(Y!0 = cell86))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1175, 11634])).
% 1.36/1.55 tff(11839,plain,
% 1.36/1.55 ((~(X!1 = cell77)) | (~(Y!0 = cell87))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1177, 11642])).
% 1.36/1.55 tff(11840,plain,
% 1.36/1.55 ((~(X!1 = cell85)) | (~(Y!0 = cell95))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1179, 11688])).
% 1.36/1.55 tff(11841,plain,
% 1.36/1.55 ((~(X!1 = cell87)) | (~(Y!0 = cell88))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1181, 11718])).
% 1.36/1.55 tff(11842,plain,
% 1.36/1.55 ((~(X!1 = cell98)) | (~(Y!0 = cell99))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1183, 11045])).
% 1.36/1.55 tff(11843,plain,
% 1.36/1.55 ((~(X!1 = cell81)) | (~(Y!0 = cell91))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1185, 11663])).
% 1.36/1.55 tff(11844,plain,
% 1.36/1.55 ((~(X!1 = cell82)) | (~(Y!0 = cell92))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1187, 11671])).
% 1.36/1.55 tff(11845,plain,
% 1.36/1.55 ((~(X!1 = cell83)) | (~(Y!0 = cell93))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1189, 11679])).
% 1.36/1.55 tff(11846,plain,
% 1.36/1.55 ((cell21 = cell12) <=> (cell21 = X!1)),
% 1.36/1.55 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.55 tff(11847,plain,
% 1.36/1.55 ((cell21 = cell12) <=> (X!1 = cell21)),
% 1.36/1.55 inference(transitivity,[status(thm)],[11846, 1017])).
% 1.36/1.55 tff(11848,plain,
% 1.36/1.55 ((~(cell21 = cell12)) <=> (~(X!1 = cell21))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11847])).
% 1.36/1.55 tff(11849,plain,
% 1.36/1.55 ((~(cell21 = cell12)) <=> (~(cell21 = cell12))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11850,axiom,(~(cell21 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof49601')).
% 1.36/1.55 tff(11851,plain,
% 1.36/1.55 (~(cell21 = cell12)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11850, 11849])).
% 1.36/1.55 tff(11852,plain,
% 1.36/1.55 (~(X!1 = cell21)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11851, 11848])).
% 1.36/1.55 tff(11853,plain,
% 1.36/1.55 ((~(X!1 = cell21)) | (~(Y!0 = cell31))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[1025, 11852])).
% 1.36/1.55 tff(11854,plain,
% 1.36/1.55 ((~(X!1 = cell80)) | (~(Y!0 = cell90))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[53, 11074])).
% 1.36/1.55 tff(11855,plain,
% 1.36/1.55 ((cell13 = X!1) <=> (X!1 = cell13)),
% 1.36/1.55 inference(commutativity,[status(thm)],[])).
% 1.36/1.55 tff(11856,plain,
% 1.36/1.55 ((~(cell13 = X!1)) <=> (~(X!1 = cell13))),
% 1.36/1.55 inference(monotonicity,[status(thm)],[11855])).
% 1.36/1.55 tff(11857,plain,
% 1.36/1.55 (~(X!1 = cell13)),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[2376, 11856])).
% 1.36/1.55 tff(11858,plain,
% 1.36/1.55 ((~(X!1 = cell13)) | (~(Y!0 = cell14))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[8571, 11857])).
% 1.36/1.55 tff(11859,plain,
% 1.36/1.55 ((~(X!1 = cell13)) | (~(Y!0 = cell23))),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[8670, 11857])).
% 1.36/1.55 tff(11860,assumption,(oxygen(cell13)), introduced(assumption)).
% 1.36/1.55 tff(11861,plain,
% 1.36/1.55 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell99 = cell13) | (~oxygen(cell99)) | (~oxygen(cell13)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell99 = cell13) | (~oxygen(cell99)) | (~oxygen(cell13)))),
% 1.36/1.55 inference(rewrite,[status(thm)],[])).
% 1.36/1.55 tff(11862,plain,
% 1.36/1.55 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell99 = cell13) | (~oxygen(cell99)) | (~oxygen(cell13)))),
% 1.36/1.55 inference(quant_inst,[status(thm)],[])).
% 1.36/1.55 tff(11863,plain,
% 1.36/1.55 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell99 = cell13) | (~oxygen(cell99)) | (~oxygen(cell13))),
% 1.36/1.55 inference(modus_ponens,[status(thm)],[11862, 11861])).
% 1.36/1.55 tff(11864,plain,
% 1.36/1.55 ($false),
% 1.36/1.55 inference(unit_resolution,[status(thm)],[11863, 1562, 1557, 231, 11860])).
% 1.36/1.56 tff(11865,plain,((~oxygen(cell99)) | (~oxygen(cell13))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.56 tff(11866,plain,
% 1.36/1.56 (~oxygen(cell99)),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[11865, 11860])).
% 1.36/1.56 tff(11867,plain,
% 1.36/1.56 ((cell100 = cell12) <=> (cell100 = X!1)),
% 1.36/1.56 inference(monotonicity,[status(thm)],[10986])).
% 1.36/1.56 tff(11868,plain,
% 1.36/1.56 ((cell100 = cell12) <=> (X!1 = cell100)),
% 1.36/1.56 inference(transitivity,[status(thm)],[11867, 235])).
% 1.36/1.56 tff(11869,plain,
% 1.36/1.56 ((~(cell100 = cell12)) <=> (~(X!1 = cell100))),
% 1.36/1.56 inference(monotonicity,[status(thm)],[11868])).
% 1.36/1.56 tff(11870,plain,
% 1.36/1.56 ((~(cell100 = cell12)) <=> (~(cell100 = cell12))),
% 1.36/1.56 inference(rewrite,[status(thm)],[])).
% 1.36/1.56 tff(11871,axiom,(~(cell100 = cell12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','tlhfof45075')).
% 1.36/1.56 tff(11872,plain,
% 1.36/1.56 (~(cell100 = cell12)),
% 1.36/1.56 inference(modus_ponens,[status(thm)],[11871, 11870])).
% 1.36/1.56 tff(11873,plain,
% 1.36/1.56 (~(X!1 = cell100)),
% 1.36/1.56 inference(modus_ponens,[status(thm)],[11872, 11869])).
% 1.36/1.56 tff(11874,plain,
% 1.36/1.56 ((~(Y!0 = cell90)) | (~(X!1 = cell100))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[243, 11873])).
% 1.36/1.56 tff(11875,plain,
% 1.36/1.56 ((~(Y!0 = cell1)) | (~(X!1 = cell2))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1515, 11187])).
% 1.36/1.56 tff(11876,plain,
% 1.36/1.56 ((~(Y!0 = cell86)) | (~(X!1 = cell96))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1513, 11029])).
% 1.36/1.56 tff(11877,plain,
% 1.36/1.56 ((~(Y!0 = cell13)) | (~(X!1 = cell14))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1207, 11195])).
% 1.36/1.56 tff(11878,plain,
% 1.36/1.56 ((~(Y!0 = cell14)) | (~(X!1 = cell15))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1209, 11203])).
% 1.36/1.56 tff(11879,plain,
% 1.36/1.56 ((~(Y!0 = cell15)) | (~(X!1 = cell16))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1211, 11211])).
% 1.36/1.56 tff(11880,plain,
% 1.36/1.56 ((~(Y!0 = cell16)) | (~(X!1 = cell17))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1213, 11219])).
% 1.36/1.56 tff(11881,plain,
% 1.36/1.56 ((~(Y!0 = cell17)) | (~(X!1 = cell18))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1215, 11227])).
% 1.36/1.56 tff(11882,plain,
% 1.36/1.56 ((~(Y!0 = cell18)) | (~(X!1 = cell19))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1217, 11235])).
% 1.36/1.56 tff(11883,plain,
% 1.36/1.56 ((~(Y!0 = cell19)) | (~(X!1 = cell20))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1219, 11746])).
% 1.36/1.56 tff(11884,plain,
% 1.36/1.56 ((~(Y!0 = cell21)) | (~(X!1 = cell22))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1221, 11242])).
% 1.36/1.56 tff(11885,plain,
% 1.36/1.56 ((~(Y!0 = cell23)) | (~(X!1 = cell24))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1223, 11258])).
% 1.36/1.56 tff(11886,plain,
% 1.36/1.56 ((~(Y!0 = cell24)) | (~(X!1 = cell25))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1225, 11266])).
% 1.36/1.56 tff(11887,plain,
% 1.36/1.56 ((~(Y!0 = cell25)) | (~(X!1 = cell26))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1227, 11274])).
% 1.36/1.56 tff(11888,plain,
% 1.36/1.56 ((~(Y!0 = cell26)) | (~(X!1 = cell27))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1229, 11282])).
% 1.36/1.56 tff(11889,plain,
% 1.36/1.56 ((~(Y!0 = cell27)) | (~(X!1 = cell28))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1231, 11290])).
% 1.36/1.56 tff(11890,plain,
% 1.36/1.56 ((~(Y!0 = cell28)) | (~(X!1 = cell29))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1233, 11298])).
% 1.36/1.56 tff(11891,plain,
% 1.36/1.56 ((~(Y!0 = cell29)) | (~(X!1 = cell30))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1235, 11763])).
% 1.36/1.56 tff(11892,plain,
% 1.36/1.56 ((~(Y!0 = cell31)) | (~(X!1 = cell32))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1237, 11314])).
% 1.36/1.56 tff(11893,plain,
% 1.36/1.56 ((~(Y!0 = cell32)) | (~(X!1 = cell33))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1239, 11322])).
% 1.36/1.56 tff(11894,plain,
% 1.36/1.56 ((~(Y!0 = cell33)) | (~(X!1 = cell34))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1241, 11330])).
% 1.36/1.56 tff(11895,plain,
% 1.36/1.56 ((~(Y!0 = cell34)) | (~(X!1 = cell35))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1243, 11338])).
% 1.36/1.56 tff(11896,plain,
% 1.36/1.56 ((~(Y!0 = cell35)) | (~(X!1 = cell36))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1245, 11346])).
% 1.36/1.56 tff(11897,plain,
% 1.36/1.56 ((~(Y!0 = cell36)) | (~(X!1 = cell37))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1247, 11354])).
% 1.36/1.56 tff(11898,plain,
% 1.36/1.56 ((~(Y!0 = cell37)) | (~(X!1 = cell38))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1249, 11362])).
% 1.36/1.56 tff(11899,plain,
% 1.36/1.56 ((~(Y!0 = cell38)) | (~(X!1 = cell39))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1251, 11370])).
% 1.36/1.56 tff(11900,plain,
% 1.36/1.56 ((~(Y!0 = cell39)) | (~(X!1 = cell40))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1253, 11780])).
% 1.36/1.56 tff(11901,plain,
% 1.36/1.56 ((~(Y!0 = cell41)) | (~(X!1 = cell42))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1255, 11386])).
% 1.36/1.56 tff(11902,plain,
% 1.36/1.56 ((~(Y!0 = cell42)) | (~(X!1 = cell43))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1257, 11394])).
% 1.36/1.56 tff(11903,plain,
% 1.36/1.56 ((~(Y!0 = cell43)) | (~(X!1 = cell44))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1259, 11402])).
% 1.36/1.56 tff(11904,plain,
% 1.36/1.56 ((~(Y!0 = cell44)) | (~(X!1 = cell45))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1261, 11410])).
% 1.36/1.56 tff(11905,plain,
% 1.36/1.56 ((~(Y!0 = cell45)) | (~(X!1 = cell46))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1263, 11418])).
% 1.36/1.56 tff(11906,plain,
% 1.36/1.56 ((~(Y!0 = cell46)) | (~(X!1 = cell47))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1265, 11426])).
% 1.36/1.56 tff(11907,plain,
% 1.36/1.56 ((~(Y!0 = cell47)) | (~(X!1 = cell48))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1267, 11434])).
% 1.36/1.56 tff(11908,plain,
% 1.36/1.56 ((~(Y!0 = cell48)) | (~(X!1 = cell49))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1269, 11442])).
% 1.36/1.56 tff(11909,plain,
% 1.36/1.56 ((~(Y!0 = cell49)) | (~(X!1 = cell50))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1271, 11797])).
% 1.36/1.56 tff(11910,plain,
% 1.36/1.56 ((~(Y!0 = cell51)) | (~(X!1 = cell52))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1273, 11458])).
% 1.36/1.56 tff(11911,plain,
% 1.36/1.56 ((~(Y!0 = cell52)) | (~(X!1 = cell53))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1275, 11466])).
% 1.36/1.56 tff(11912,plain,
% 1.36/1.56 ((~(Y!0 = cell53)) | (~(X!1 = cell54))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1277, 11474])).
% 1.36/1.56 tff(11913,plain,
% 1.36/1.56 ((~(Y!0 = cell54)) | (~(X!1 = cell55))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1279, 11482])).
% 1.36/1.56 tff(11914,plain,
% 1.36/1.56 ((~(Y!0 = cell55)) | (~(X!1 = cell56))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1281, 11490])).
% 1.36/1.56 tff(11915,plain,
% 1.36/1.56 ((~(Y!0 = cell56)) | (~(X!1 = cell57))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1283, 11498])).
% 1.36/1.56 tff(11916,plain,
% 1.36/1.56 ((~(Y!0 = cell57)) | (~(X!1 = cell58))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1285, 11506])).
% 1.36/1.56 tff(11917,plain,
% 1.36/1.56 ((~(Y!0 = cell58)) | (~(X!1 = cell59))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1287, 11514])).
% 1.36/1.56 tff(11918,plain,
% 1.36/1.56 ((~(Y!0 = cell59)) | (~(X!1 = cell60))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1289, 11814])).
% 1.36/1.56 tff(11919,plain,
% 1.36/1.56 ((~(Y!0 = cell61)) | (~(X!1 = cell62))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1291, 11530])).
% 1.36/1.56 tff(11920,plain,
% 1.36/1.56 ((~(Y!0 = cell62)) | (~(X!1 = cell63))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1293, 11538])).
% 1.36/1.56 tff(11921,plain,
% 1.36/1.56 ((~(Y!0 = cell63)) | (~(X!1 = cell64))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1295, 11546])).
% 1.36/1.56 tff(11922,plain,
% 1.36/1.56 ((~(Y!0 = cell64)) | (~(X!1 = cell65))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1297, 11554])).
% 1.36/1.56 tff(11923,plain,
% 1.36/1.56 ((~(Y!0 = cell65)) | (~(X!1 = cell66))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1299, 11562])).
% 1.36/1.56 tff(11924,plain,
% 1.36/1.56 ((~(Y!0 = cell66)) | (~(X!1 = cell67))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1301, 11570])).
% 1.36/1.56 tff(11925,plain,
% 1.36/1.56 ((~(Y!0 = cell67)) | (~(X!1 = cell68))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1303, 11578])).
% 1.36/1.56 tff(11926,plain,
% 1.36/1.56 ((~(Y!0 = cell68)) | (~(X!1 = cell69))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1305, 11586])).
% 1.36/1.56 tff(11927,plain,
% 1.36/1.56 ((~(Y!0 = cell69)) | (~(X!1 = cell70))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1307, 11831])).
% 1.36/1.56 tff(11928,plain,
% 1.36/1.56 ((~(Y!0 = cell71)) | (~(X!1 = cell72))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1309, 11602])).
% 1.36/1.56 tff(11929,plain,
% 1.36/1.56 ((~(Y!0 = cell72)) | (~(X!1 = cell73))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1311, 11610])).
% 1.36/1.56 tff(11930,plain,
% 1.36/1.56 ((~(Y!0 = cell73)) | (~(X!1 = cell74))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1313, 11618])).
% 1.36/1.56 tff(11931,plain,
% 1.36/1.56 ((~(Y!0 = cell74)) | (~(X!1 = cell75))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1315, 11626])).
% 1.36/1.56 tff(11932,plain,
% 1.36/1.56 ((~(Y!0 = cell75)) | (~(X!1 = cell76))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1317, 11634])).
% 1.36/1.56 tff(11933,plain,
% 1.36/1.56 ((~(Y!0 = cell76)) | (~(X!1 = cell77))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1319, 11642])).
% 1.36/1.56 tff(11934,plain,
% 1.36/1.56 ((~(Y!0 = cell77)) | (~(X!1 = cell78))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1321, 11650])).
% 1.36/1.56 tff(11935,plain,
% 1.36/1.56 ((~(Y!0 = cell78)) | (~(X!1 = cell79))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1323, 11655])).
% 1.36/1.56 tff(11936,plain,
% 1.36/1.56 ((~(X!1 = cell100)) | (~(Y!0 = cell99))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1325, 11873])).
% 1.36/1.56 tff(11937,plain,
% 1.36/1.56 ((~(Y!0 = cell81)) | (~(X!1 = cell82))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1327, 11671])).
% 1.36/1.56 tff(11938,plain,
% 1.36/1.56 ((~(Y!0 = cell82)) | (~(X!1 = cell83))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1329, 11679])).
% 1.36/1.56 tff(11939,plain,
% 1.36/1.56 ((~(Y!0 = cell83)) | (~(X!1 = cell84))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1331, 11180])).
% 1.36/1.56 tff(11940,plain,
% 1.36/1.56 ((~(Y!0 = cell84)) | (~(X!1 = cell85))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1333, 11688])).
% 1.36/1.56 tff(11941,plain,
% 1.36/1.56 ((~(Y!0 = cell85)) | (~(X!1 = cell86))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1335, 11147])).
% 1.36/1.56 tff(11942,plain,
% 1.36/1.56 ((~(Y!0 = cell86)) | (~(X!1 = cell87))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1337, 11718])).
% 1.36/1.56 tff(11943,plain,
% 1.36/1.56 ((~(Y!0 = cell87)) | (~(X!1 = cell88))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1339, 11695])).
% 1.36/1.56 tff(11944,plain,
% 1.36/1.56 ((~(Y!0 = cell88)) | (~(X!1 = cell89))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1341, 11160])).
% 1.36/1.56 tff(11945,plain,
% 1.36/1.56 ((~(Y!0 = cell89)) | (~(X!1 = cell90))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1343, 11172])).
% 1.36/1.56 tff(11946,plain,
% 1.36/1.56 ((~(Y!0 = cell79)) | (~(X!1 = cell89))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1345, 11160])).
% 1.36/1.56 tff(11947,plain,
% 1.36/1.56 ((~(Y!0 = cell89)) | (~(X!1 = cell99))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1347, 11050])).
% 1.36/1.56 tff(11948,plain,
% 1.36/1.56 ((~(Y!0 = cell4)) | (~(X!1 = cell14))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1351, 11195])).
% 1.36/1.56 tff(11949,plain,
% 1.36/1.56 ((~(Y!0 = cell5)) | (~(X!1 = cell15))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1353, 11203])).
% 1.36/1.56 tff(11950,plain,
% 1.36/1.56 ((~(Y!0 = cell6)) | (~(X!1 = cell16))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1355, 11211])).
% 1.36/1.56 tff(11951,plain,
% 1.36/1.56 ((~(Y!0 = cell7)) | (~(X!1 = cell17))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1357, 11219])).
% 1.36/1.56 tff(11952,plain,
% 1.36/1.56 ((~(Y!0 = cell8)) | (~(X!1 = cell18))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1359, 11227])).
% 1.36/1.56 tff(11953,plain,
% 1.36/1.56 ((~(Y!0 = cell9)) | (~(X!1 = cell19))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1361, 11235])).
% 1.36/1.56 tff(11954,plain,
% 1.36/1.56 ((~(Y!0 = cell10)) | (~(X!1 = cell20))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1363, 11746])).
% 1.36/1.56 tff(11955,plain,
% 1.36/1.56 ((~(Y!0 = cell11)) | (~(X!1 = cell21))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1365, 11852])).
% 1.36/1.56 tff(11956,plain,
% 1.36/1.56 ((~(Y!0 = cell12)) | (~(X!1 = cell22))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1367, 11242])).
% 1.36/1.56 tff(11957,plain,
% 1.36/1.56 ((~(Y!0 = cell13)) | (~(X!1 = cell23))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1369, 11250])).
% 1.36/1.56 tff(11958,plain,
% 1.36/1.56 ((~(Y!0 = cell14)) | (~(X!1 = cell24))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1371, 11258])).
% 1.36/1.56 tff(11959,plain,
% 1.36/1.56 ((~(Y!0 = cell15)) | (~(X!1 = cell25))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1373, 11266])).
% 1.36/1.56 tff(11960,plain,
% 1.36/1.56 ((~(Y!0 = cell16)) | (~(X!1 = cell26))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1375, 11274])).
% 1.36/1.56 tff(11961,plain,
% 1.36/1.56 ((~(Y!0 = cell17)) | (~(X!1 = cell27))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1377, 11282])).
% 1.36/1.56 tff(11962,plain,
% 1.36/1.56 ((~(Y!0 = cell18)) | (~(X!1 = cell28))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1379, 11290])).
% 1.36/1.56 tff(11963,plain,
% 1.36/1.56 ((~(Y!0 = cell19)) | (~(X!1 = cell29))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1381, 11298])).
% 1.36/1.56 tff(11964,plain,
% 1.36/1.56 ((~(Y!0 = cell20)) | (~(X!1 = cell30))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1383, 11763])).
% 1.36/1.56 tff(11965,plain,
% 1.36/1.56 ((~(Y!0 = cell21)) | (~(X!1 = cell31))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1385, 11306])).
% 1.36/1.56 tff(11966,plain,
% 1.36/1.56 ((~(Y!0 = cell23)) | (~(X!1 = cell33))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1387, 11322])).
% 1.36/1.56 tff(11967,plain,
% 1.36/1.56 ((~(Y!0 = cell24)) | (~(X!1 = cell34))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1389, 11330])).
% 1.36/1.56 tff(11968,plain,
% 1.36/1.56 ((~(Y!0 = cell25)) | (~(X!1 = cell35))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1391, 11338])).
% 1.36/1.56 tff(11969,plain,
% 1.36/1.56 ((~(Y!0 = cell26)) | (~(X!1 = cell36))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1393, 11346])).
% 1.36/1.56 tff(11970,plain,
% 1.36/1.56 ((~(Y!0 = cell27)) | (~(X!1 = cell37))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1395, 11354])).
% 1.36/1.56 tff(11971,plain,
% 1.36/1.56 ((~(Y!0 = cell28)) | (~(X!1 = cell38))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1397, 11362])).
% 1.36/1.56 tff(11972,plain,
% 1.36/1.56 ((~(Y!0 = cell29)) | (~(X!1 = cell39))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1399, 11370])).
% 1.36/1.56 tff(11973,plain,
% 1.36/1.56 ((~(Y!0 = cell30)) | (~(X!1 = cell40))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1401, 11780])).
% 1.36/1.56 tff(11974,plain,
% 1.36/1.56 ((~(Y!0 = cell31)) | (~(X!1 = cell41))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1403, 11378])).
% 1.36/1.56 tff(11975,plain,
% 1.36/1.56 ((~(Y!0 = cell32)) | (~(X!1 = cell42))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1405, 11386])).
% 1.36/1.56 tff(11976,plain,
% 1.36/1.56 ((~(Y!0 = cell33)) | (~(X!1 = cell43))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1407, 11394])).
% 1.36/1.56 tff(11977,plain,
% 1.36/1.56 ((~(Y!0 = cell34)) | (~(X!1 = cell44))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1409, 11402])).
% 1.36/1.56 tff(11978,plain,
% 1.36/1.56 ((~(Y!0 = cell35)) | (~(X!1 = cell45))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1411, 11410])).
% 1.36/1.56 tff(11979,plain,
% 1.36/1.56 ((~(Y!0 = cell36)) | (~(X!1 = cell46))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1413, 11418])).
% 1.36/1.56 tff(11980,plain,
% 1.36/1.56 ((~(Y!0 = cell37)) | (~(X!1 = cell47))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1415, 11426])).
% 1.36/1.56 tff(11981,plain,
% 1.36/1.56 ((~(Y!0 = cell38)) | (~(X!1 = cell48))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1417, 11434])).
% 1.36/1.56 tff(11982,plain,
% 1.36/1.56 ((~(Y!0 = cell39)) | (~(X!1 = cell49))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1419, 11442])).
% 1.36/1.56 tff(11983,plain,
% 1.36/1.56 ((~(Y!0 = cell40)) | (~(X!1 = cell50))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1421, 11797])).
% 1.36/1.56 tff(11984,plain,
% 1.36/1.56 ((~(Y!0 = cell41)) | (~(X!1 = cell51))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1423, 11450])).
% 1.36/1.56 tff(11985,plain,
% 1.36/1.56 ((~(Y!0 = cell42)) | (~(X!1 = cell52))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1425, 11458])).
% 1.36/1.56 tff(11986,plain,
% 1.36/1.56 ((~(Y!0 = cell43)) | (~(X!1 = cell53))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1427, 11466])).
% 1.36/1.56 tff(11987,plain,
% 1.36/1.56 ((~(Y!0 = cell44)) | (~(X!1 = cell54))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1429, 11474])).
% 1.36/1.56 tff(11988,plain,
% 1.36/1.56 ((~(Y!0 = cell45)) | (~(X!1 = cell55))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1431, 11482])).
% 1.36/1.56 tff(11989,plain,
% 1.36/1.56 ((~(Y!0 = cell46)) | (~(X!1 = cell56))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1433, 11490])).
% 1.36/1.56 tff(11990,plain,
% 1.36/1.56 ((~(Y!0 = cell47)) | (~(X!1 = cell57))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1435, 11498])).
% 1.36/1.56 tff(11991,plain,
% 1.36/1.56 ((~(Y!0 = cell48)) | (~(X!1 = cell58))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1437, 11506])).
% 1.36/1.56 tff(11992,plain,
% 1.36/1.56 ((~(Y!0 = cell49)) | (~(X!1 = cell59))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1439, 11514])).
% 1.36/1.56 tff(11993,plain,
% 1.36/1.56 ((~(Y!0 = cell50)) | (~(X!1 = cell60))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1441, 11814])).
% 1.36/1.56 tff(11994,plain,
% 1.36/1.56 ((~(Y!0 = cell51)) | (~(X!1 = cell61))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1443, 11522])).
% 1.36/1.56 tff(11995,plain,
% 1.36/1.56 ((~(Y!0 = cell52)) | (~(X!1 = cell62))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1445, 11530])).
% 1.36/1.56 tff(11996,plain,
% 1.36/1.56 ((~(Y!0 = cell53)) | (~(X!1 = cell63))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1447, 11538])).
% 1.36/1.56 tff(11997,plain,
% 1.36/1.56 ((~(Y!0 = cell54)) | (~(X!1 = cell64))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1449, 11546])).
% 1.36/1.56 tff(11998,plain,
% 1.36/1.56 ((~(Y!0 = cell55)) | (~(X!1 = cell65))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1451, 11554])).
% 1.36/1.56 tff(11999,plain,
% 1.36/1.56 ((~(Y!0 = cell56)) | (~(X!1 = cell66))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1453, 11562])).
% 1.36/1.56 tff(12000,plain,
% 1.36/1.56 ((~(Y!0 = cell57)) | (~(X!1 = cell67))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1455, 11570])).
% 1.36/1.56 tff(12001,plain,
% 1.36/1.56 ((~(Y!0 = cell58)) | (~(X!1 = cell68))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1457, 11578])).
% 1.36/1.56 tff(12002,plain,
% 1.36/1.56 ((~(Y!0 = cell59)) | (~(X!1 = cell69))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1459, 11586])).
% 1.36/1.56 tff(12003,plain,
% 1.36/1.56 ((~(Y!0 = cell60)) | (~(X!1 = cell70))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1461, 11831])).
% 1.36/1.56 tff(12004,plain,
% 1.36/1.56 ((~(Y!0 = cell61)) | (~(X!1 = cell71))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1463, 11594])).
% 1.36/1.56 tff(12005,plain,
% 1.36/1.56 ((~(Y!0 = cell62)) | (~(X!1 = cell72))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1465, 11602])).
% 1.36/1.56 tff(12006,plain,
% 1.36/1.56 ((~(Y!0 = cell63)) | (~(X!1 = cell73))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1467, 11610])).
% 1.36/1.56 tff(12007,plain,
% 1.36/1.56 ((~(Y!0 = cell64)) | (~(X!1 = cell74))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1469, 11618])).
% 1.36/1.56 tff(12008,plain,
% 1.36/1.56 ((~(Y!0 = cell65)) | (~(X!1 = cell75))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1471, 11626])).
% 1.36/1.56 tff(12009,plain,
% 1.36/1.56 ((~(Y!0 = cell66)) | (~(X!1 = cell76))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1473, 11634])).
% 1.36/1.56 tff(12010,plain,
% 1.36/1.56 ((~(Y!0 = cell67)) | (~(X!1 = cell77))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1475, 11642])).
% 1.36/1.56 tff(12011,plain,
% 1.36/1.56 ((~(Y!0 = cell68)) | (~(X!1 = cell78))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1477, 11650])).
% 1.36/1.56 tff(12012,plain,
% 1.36/1.56 ((~(Y!0 = cell69)) | (~(X!1 = cell79))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1479, 11655])).
% 1.36/1.56 tff(12013,plain,
% 1.36/1.56 ((~(Y!0 = cell70)) | (~(X!1 = cell80))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1481, 11074])).
% 1.36/1.56 tff(12014,plain,
% 1.36/1.56 ((~(Y!0 = cell71)) | (~(X!1 = cell81))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1483, 11663])).
% 1.36/1.56 tff(12015,plain,
% 1.36/1.56 ((~(Y!0 = cell72)) | (~(X!1 = cell82))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1485, 11671])).
% 1.36/1.56 tff(12016,plain,
% 1.36/1.56 ((~(Y!0 = cell73)) | (~(X!1 = cell83))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1487, 11679])).
% 1.36/1.56 tff(12017,plain,
% 1.36/1.56 ((~(Y!0 = cell74)) | (~(X!1 = cell84))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1489, 11180])).
% 1.36/1.56 tff(12018,plain,
% 1.36/1.56 ((~(Y!0 = cell75)) | (~(X!1 = cell85))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1491, 11688])).
% 1.36/1.56 tff(12019,plain,
% 1.36/1.56 ((~(Y!0 = cell76)) | (~(X!1 = cell86))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1493, 11147])).
% 1.36/1.56 tff(12020,plain,
% 1.36/1.56 ((~(Y!0 = cell77)) | (~(X!1 = cell87))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1495, 11718])).
% 1.36/1.56 tff(12021,plain,
% 1.36/1.56 ((~(Y!0 = cell78)) | (~(X!1 = cell88))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1497, 11695])).
% 1.36/1.56 tff(12022,plain,
% 1.36/1.56 ((~(Y!0 = cell88)) | (~(X!1 = cell98))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1499, 11045])).
% 1.36/1.56 tff(12023,plain,
% 1.36/1.56 ((~(Y!0 = cell80)) | (~(X!1 = cell90))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1501, 11172])).
% 1.36/1.56 tff(12024,plain,
% 1.36/1.56 ((~(Y!0 = cell81)) | (~(X!1 = cell91))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1503, 11704])).
% 1.36/1.56 tff(12025,plain,
% 1.36/1.56 ((~(Y!0 = cell82)) | (~(X!1 = cell92))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1505, 10997])).
% 1.36/1.56 tff(12026,plain,
% 1.36/1.56 ((~(Y!0 = cell83)) | (~(X!1 = cell93))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1507, 11005])).
% 1.36/1.56 tff(12027,plain,
% 1.36/1.56 ((~(Y!0 = cell84)) | (~(X!1 = cell94))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1509, 11013])).
% 1.36/1.56 tff(12028,plain,
% 1.36/1.56 ((~(Y!0 = cell85)) | (~(X!1 = cell95))),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1511, 11021])).
% 1.36/1.56 tff(12029,plain,
% 1.36/1.56 ($false),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[2334, 7624, 7555, 11854, 12028, 11853, 12027, 12026, 12025, 12024, 12023, 12022, 12021, 12020, 12019, 12018, 12017, 12016, 12015, 12014, 12013, 12012, 12011, 12010, 12009, 12008, 12007, 12006, 12005, 12004, 12003, 12002, 12001, 12000, 11999, 11998, 11997, 11996, 11995, 11994, 11993, 11992, 11991, 11990, 11989, 11988, 11987, 11986, 11985, 11984, 11983, 11982, 11981, 11980, 11979, 11978, 11977, 11976, 11975, 11974, 11973, 11972, 11971, 11970, 11969, 11968, 11967, 11966, 11965, 11964, 11963, 11962, 11961, 11960, 11959, 11958, 11957, 11956, 11955, 11954, 11953, 11952, 11951, 11950, 11949, 11948, 11161, 11947, 11946, 11945, 11944, 11943, 11942, 11941, 11940, 11939, 11938, 11937, 11936, 11935, 11934, 11933, 11932, 11931, 11930, 11929, 11928, 11927, 11926, 11925, 11924, 11923, 11922, 11921, 11920, 11919, 11918, 11917, 11916, 11915, 11914, 11913, 11912, 11911, 11910, 11909, 11908, 11907, 11906, 11905, 11904, 11903, 11902, 11901, 11900, 11899, 11898, 11897, 11896, 11895, 11894, 11893, 11892, 11891, 11890, 11889, 11888, 11887, 11886, 11885, 11884, 11883, 11882, 11881, 11880, 11879, 11878, 11877, 1531, 11140, 11132, 11124, 11116, 11108, 11100, 11092, 11084, 11076, 11876, 11051, 11046, 11038, 11030, 11022, 11014, 11006, 10998, 10990, 11748, 11697, 11188, 11181, 11845, 11844, 11843, 11842, 11841, 11840, 11839, 11838, 11837, 11836, 11835, 11834, 11833, 11832, 11824, 11823, 11822, 11821, 11820, 11819, 11818, 11817, 11816, 11815, 11807, 11806, 11805, 11804, 11803, 11802, 11801, 11800, 11799, 11798, 11790, 11789, 11788, 11787, 11786, 11785, 11784, 11783, 11782, 11781, 11773, 11772, 11771, 11770, 11769, 11768, 11767, 11766, 11765, 11764, 11756, 11755, 11754, 11753, 11752, 11751, 11750, 11749, 11075, 11747, 11739, 11738, 11737, 11736, 11735, 11734, 11733, 11732, 11731, 11730, 11729, 11728, 11727, 11726, 11725, 11724, 11723, 11722, 11721, 11720, 11719, 11711, 11710, 11709, 11708, 11707, 11706, 11705, 11875, 11696, 11691, 11690, 11689, 11681, 11680, 11672, 11664, 11656, 11651, 11643, 11635, 11627, 11619, 11611, 11603, 11595, 11587, 11579, 11571, 11563, 11555, 11547, 11539, 11531, 11523, 11515, 11507, 11499, 11491, 11483, 11475, 11467, 11459, 11451, 11443, 11435, 11427, 11419, 11411, 11403, 11395, 11387, 11379, 11371, 11363, 11355, 11347, 11339, 11331, 11323, 11315, 11307, 11299, 11291, 11283, 11275, 11267, 11259, 11251, 11243, 11236, 11228, 11220, 11212, 11204, 11196, 7040, 11173, 11168, 11167, 11166, 11165, 11164, 11163, 11162, 11874, 11156, 11148])).
% 1.36/1.56 tff(12030,plain,((~(cell90 = Y!0)) | oxygen(cell79)), inference(lemma,lemma(discharge,[]))).
% 1.36/1.56 tff(12031,plain,
% 1.36/1.56 (~(cell90 = Y!0)),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[12030, 1531])).
% 1.36/1.56 tff(12032,plain,
% 1.36/1.56 (~oxygen(cell90)),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1590, 12031])).
% 1.36/1.56 tff(12033,plain,
% 1.36/1.56 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell89 = cell13) | (~oxygen(cell89)) | (~oxygen(cell13)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell89 = cell13) | (~oxygen(cell89)) | (~oxygen(cell13)))),
% 1.36/1.56 inference(rewrite,[status(thm)],[])).
% 1.36/1.56 tff(12034,plain,
% 1.36/1.56 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell89 = cell13) | (~oxygen(cell89)) | (~oxygen(cell13)))),
% 1.36/1.56 inference(quant_inst,[status(thm)],[])).
% 1.36/1.56 tff(12035,plain,
% 1.36/1.56 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell89 = cell13) | (~oxygen(cell89)) | (~oxygen(cell13))),
% 1.36/1.56 inference(modus_ponens,[status(thm)],[12034, 12033])).
% 1.36/1.56 tff(12036,plain,
% 1.36/1.56 ($false),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[12035, 2278, 1557, 931, 11860])).
% 1.36/1.56 tff(12037,plain,((~oxygen(cell89)) | (~oxygen(cell13))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.56 tff(12038,plain,
% 1.36/1.56 (~oxygen(cell89)),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[12037, 11860])).
% 1.36/1.56 tff(12039,plain,
% 1.36/1.56 (oxygen(cell88)),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[1621, 12038, 1531, 12032, 11866])).
% 1.36/1.56 tff(12040,plain,
% 1.36/1.56 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell88 = cell13) | (~oxygen(cell88)) | (~oxygen(cell13)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell88 = cell13) | (~oxygen(cell88)) | (~oxygen(cell13)))),
% 1.36/1.56 inference(rewrite,[status(thm)],[])).
% 1.36/1.56 tff(12041,plain,
% 1.36/1.56 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell88 = cell13) | (~oxygen(cell88)) | (~oxygen(cell13)))),
% 1.36/1.56 inference(quant_inst,[status(thm)],[])).
% 1.36/1.56 tff(12042,plain,
% 1.36/1.56 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell88 = cell13) | (~oxygen(cell88)) | (~oxygen(cell13))),
% 1.36/1.56 inference(modus_ponens,[status(thm)],[12041, 12040])).
% 1.36/1.56 tff(12043,plain,
% 1.36/1.56 ($false),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[12042, 12039, 1557, 921, 11860])).
% 1.36/1.56 tff(12044,plain,((~oxygen(cell13)) | oxygen(cell79)), inference(lemma,lemma(discharge,[]))).
% 1.36/1.56 tff(12045,plain,
% 1.36/1.56 (~oxygen(cell13)),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[12044, 1531])).
% 1.36/1.56 tff(12046,assumption,(Y!0 = cell13), introduced(assumption)).
% 1.36/1.56 tff(12047,plain,
% 1.36/1.56 (cell13 = Y!0),
% 1.36/1.56 inference(symmetry,[status(thm)],[12046])).
% 1.36/1.56 tff(12048,plain,
% 1.36/1.56 (oxygen(cell13) <=> oxygen(Y!0)),
% 1.36/1.56 inference(monotonicity,[status(thm)],[12047])).
% 1.36/1.56 tff(12049,plain,
% 1.36/1.56 (oxygen(Y!0) <=> oxygen(cell13)),
% 1.36/1.56 inference(symmetry,[status(thm)],[12048])).
% 1.36/1.56 tff(12050,plain,
% 1.36/1.56 (oxygen(cell13)),
% 1.36/1.56 inference(modus_ponens,[status(thm)],[1536, 12049])).
% 1.36/1.56 tff(12051,assumption,(~oxygen(cell13)), introduced(assumption)).
% 1.36/1.56 tff(12052,plain,
% 1.36/1.56 ($false),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[12051, 12050])).
% 1.36/1.56 tff(12053,plain,(oxygen(cell13) | (~(Y!0 = cell13))), inference(lemma,lemma(discharge,[]))).
% 1.36/1.56 tff(12054,plain,
% 1.36/1.56 (~(Y!0 = cell13)),
% 1.36/1.56 inference(unit_resolution,[status(thm)],[12053, 12045])).
% 1.36/1.56 tff(12055,plain,
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cell44)))) | (~((~(Y!0 = cell42)) | (~(X!1 = cell43)))) | (~((~(Y!0 = cell41)) | (~(X!1 = cell42)))) | (~((~(Y!0 = cell39)) | (~(X!1 = cell40)))) | (~((~(Y!0 = cell38)) | (~(X!1 = cell39)))) | (~((~(Y!0 = cell37)) | (~(X!1 = cell38)))) | (~((~(Y!0 = cell36)) | (~(X!1 = cell37)))) | (~((~(Y!0 = cell35)) | (~(X!1 = cell36)))) | (~((~(Y!0 = cell34)) | (~(X!1 = cell35)))) | (~((~(Y!0 = cell33)) | (~(X!1 = cell34)))) | (~((~(Y!0 = cell32)) | (~(X!1 = cell33)))) | (~((~(Y!0 = cell31)) | (~(X!1 = cell32)))) | (~((~(Y!0 = cell29)) | (~(X!1 = cell30)))) | (~((~(Y!0 = cell28)) | (~(X!1 = cell29)))) | (~((~(Y!0 = cell27)) | (~(X!1 = cell28)))) | (~((~(Y!0 = cell26)) | (~(X!1 = cell27)))) | (~((~(Y!0 = cell25)) | (~(X!1 = cell26)))) | (~((~(Y!0 = cell24)) | (~(X!1 = cell25)))) | (~((~(Y!0 = cell23)) | (~(X!1 = cell24)))) | (~((~(Y!0 = cell22)) | (~(X!1 = cell23)))) | (~((~(Y!0 = cell21)) | (~(X!1 = cell22)))) | (~((~(Y!0 = cell19)) | (~(X!1 = cell20)))) | (~((~(Y!0 = cell18)) | (~(X!1 = cell19)))) | (~((~(Y!0 = cell17)) | (~(X!1 = cell18)))) | (~((~(Y!0 = cell16)) | (~(X!1 = cell17)))) | (~((~(Y!0 = cell15)) | (~(X!1 = cell16)))) | (~((~(Y!0 = cell14)) | (~(X!1 = cell15)))) | (~((~(Y!0 = cell13)) | (~(X!1 = cell14)))) | (~((~(Y!0 = cell12)) | (~(X!1 = cell13)))) | (~((~(Y!0 = cell11)) | (~(X!1 = cell12)))) | (~((~(Y!0 = cell9)) | (~(X!1 = cell10)))) | (~((~(Y!0 = cell8)) | (~(X!1 = cell9)))) | (~((~(Y!0 = cell7)) | (~(X!1 = cell8)))) | (~((~(Y!0 = cell6)) | (~(X!1 = cell7)))) | (~((~(Y!0 = cell5)) | (~(X!1 = cell6)))) | (~((~(Y!0 = cell4)) | (~(X!1 = cell5)))) | (~((~(Y!0 = cell3)) | (~(X!1 = cell4)))) | (~((~(Y!0 = cell2)) | (~(X!1 = cell3)))) | (~((~(Y!0 = cell1)) | (~(X!1 = cell2)))) | (~((~(X!1 = cell100)) | (~(Y!0 = cell99)))) | (~((~(X!1 = cell99)) | (~(Y!0 = cell98)))) | (~((~(X!1 = cell98)) | (~(Y!0 = cell97)))) | (~((~(X!1 = cell97)) | (~(Y!0 = cell96)))) | (~((~(X!1 = cell96)) | (~(Y!0 = cell95)))) | (~((~(X!1 = cell95)) | (~(Y!0 = cell94)))) | (~((~(X!1 = cell94)) | (~(Y!0 = cell93)))) | (~((~(X!1 = cell93)) | (~(Y!0 = cell92)))) | (~((~(X!1 = cell92)) | (~(Y!0 = cell91))))),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[2153, 12058])).
% 1.40/1.57 tff(12060,plain,
% 1.40/1.57 ((~(Y!0 = cell12)) | (~(X!1 = cell13))),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[7878, 11857])).
% 1.40/1.57 tff(12061,plain,
% 1.40/1.57 ((~(Y!0 = cell3)) | (~(X!1 = cell13))),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[8411, 11857])).
% 1.40/1.57 tff(12062,assumption,(oxygen(cell2)), introduced(assumption)).
% 1.40/1.57 tff(12063,plain,
% 1.40/1.57 ((cell88 = cell11) <=> (Y!0 = cell11)),
% 1.40/1.57 inference(monotonicity,[status(thm)],[9859])).
% 1.40/1.57 tff(12064,plain,
% 1.40/1.57 ((~(cell88 = cell11)) <=> (~(Y!0 = cell11))),
% 1.40/1.57 inference(monotonicity,[status(thm)],[12063])).
% 1.40/1.57 tff(12065,plain,
% 1.40/1.57 (~(Y!0 = cell11)),
% 1.40/1.57 inference(modus_ponens,[status(thm)],[8402, 12064])).
% 1.40/1.57 tff(12066,plain,
% 1.40/1.57 ((~(Y!0 = cell11)) | (~(X!1 = cell12))),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[2569, 12065])).
% 1.40/1.57 tff(12067,plain,
% 1.40/1.57 ((cell88 = cell2) <=> (Y!0 = cell2)),
% 1.40/1.57 inference(monotonicity,[status(thm)],[9859])).
% 1.40/1.57 tff(12068,plain,
% 1.40/1.57 ((~(cell88 = cell2)) <=> (~(Y!0 = cell2))),
% 1.40/1.57 inference(monotonicity,[status(thm)],[12067])).
% 1.40/1.57 tff(12069,plain,
% 1.40/1.57 (~(Y!0 = cell2)),
% 1.40/1.57 inference(modus_ponens,[status(thm)],[8856, 12068])).
% 1.40/1.57 tff(12070,plain,
% 1.40/1.57 ((~(Y!0 = cell2)) | (~(X!1 = cell12))),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[3308, 12069])).
% 1.40/1.57 tff(12071,plain,
% 1.40/1.57 ($false),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[2334, 12070, 12066, 11854, 12028, 11853, 12027, 12026, 12025, 12024, 12023, 12022, 12021, 12020, 12019, 12018, 12017, 12016, 12015, 12014, 12013, 12012, 12011, 12010, 12009, 12008, 12007, 12006, 12005, 12004, 12003, 12002, 12001, 12000, 11999, 11998, 11997, 11996, 11995, 11994, 11993, 11992, 11991, 11990, 11989, 11988, 11987, 11986, 11985, 11984, 11983, 11982, 11981, 11980, 11979, 11978, 11977, 11976, 11975, 11974, 11973, 11972, 11971, 11970, 11969, 11968, 11967, 11966, 11965, 11964, 11963, 11962, 11961, 11960, 11959, 11958, 11957, 11956, 11955, 11954, 11953, 11952, 11951, 11950, 11949, 11948, 11161, 11947, 11946, 11945, 11944, 11943, 11942, 11941, 11940, 11939, 11938, 11937, 11936, 11935, 11934, 11933, 11932, 11931, 11930, 11929, 11928, 11927, 11926, 11925, 11924, 11923, 11922, 11921, 11920, 11919, 11918, 11917, 11916, 11915, 11914, 11913, 11912, 11911, 11910, 11909, 11908, 11907, 11906, 11905, 11904, 11903, 11902, 11901, 11900, 11899, 11898, 11897, 11896, 11895, 11894, 11893, 11892, 11891, 11890, 11889, 11888, 11887, 11886, 11885, 11884, 11883, 11882, 11881, 11880, 11879, 11878, 11877, 1531, 11140, 11132, 11124, 11116, 11108, 11100, 11092, 11084, 11076, 11876, 11051, 11046, 11038, 11030, 11022, 11014, 11006, 10998, 10990, 11748, 11697, 11188, 11181, 11845, 11844, 11843, 11842, 11841, 11840, 11839, 11838, 11837, 11836, 11835, 11834, 11833, 11832, 11824, 11823, 11822, 11821, 11820, 11819, 11818, 11817, 11816, 11815, 11807, 11806, 11805, 11804, 11803, 11802, 11801, 11800, 11799, 11798, 11790, 11789, 11788, 11787, 11786, 11785, 11784, 11783, 11782, 11781, 11773, 11772, 11771, 11770, 11769, 11768, 11767, 11766, 11765, 11764, 11756, 11755, 11754, 11753, 11752, 11751, 11750, 11749, 11075, 11747, 11739, 11738, 11737, 11736, 11735, 11734, 11733, 11732, 11731, 11730, 11729, 11728, 11727, 11726, 11725, 11724, 11723, 11722, 11721, 11720, 11719, 11711, 11710, 11709, 11708, 11707, 11706, 11705, 11875, 11696, 11691, 11690, 11689, 11681, 11680, 11672, 11664, 11656, 11651, 11643, 11635, 11627, 11619, 11611, 11603, 11595, 11587, 11579, 11571, 11563, 11555, 11547, 11539, 11531, 11523, 11515, 11507, 11499, 11491, 11483, 11475, 11467, 11459, 11451, 11443, 11435, 11427, 11419, 11411, 11403, 11395, 11387, 11379, 11371, 11363, 11355, 11347, 11339, 11331, 11323, 11315, 11307, 11299, 11291, 11283, 11275, 11267, 11259, 11251, 11243, 11236, 11228, 11220, 11212, 11204, 11196, 12055, 11173, 11168, 11167, 11166, 11165, 11164, 11163, 11162, 11874, 11156, 11148])).
% 1.40/1.57 tff(12072,plain,((~(cell88 = Y!0)) | oxygen(cell79)), inference(lemma,lemma(discharge,[]))).
% 1.40/1.57 tff(12073,plain,
% 1.40/1.57 (~(cell88 = Y!0)),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[12072, 1531])).
% 1.40/1.57 tff(12074,assumption,(~(cell88 = Y!0)), introduced(assumption)).
% 1.40/1.57 tff(12075,plain,
% 1.40/1.57 ($false),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[2311, 1595, 1557, 1536, 12074])).
% 1.40/1.57 tff(12076,plain,((~oxygen(cell88)) | (cell88 = Y!0)), inference(lemma,lemma(discharge,[]))).
% 1.40/1.57 tff(12077,plain,
% 1.40/1.57 (~oxygen(cell88)),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[12076, 12073])).
% 1.40/1.57 tff(12078,plain,
% 1.40/1.57 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell99 = cell2) | (~oxygen(cell99)) | (~oxygen(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell99 = cell2) | (~oxygen(cell99)) | (~oxygen(cell2)))),
% 1.40/1.57 inference(rewrite,[status(thm)],[])).
% 1.40/1.57 tff(12079,plain,
% 1.40/1.57 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell99 = cell2) | (~oxygen(cell99)) | (~oxygen(cell2)))),
% 1.40/1.57 inference(quant_inst,[status(thm)],[])).
% 1.40/1.57 tff(12080,plain,
% 1.40/1.57 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell99 = cell2) | (~oxygen(cell99)) | (~oxygen(cell2))),
% 1.40/1.57 inference(modus_ponens,[status(thm)],[12079, 12078])).
% 1.40/1.57 tff(12081,plain,
% 1.40/1.57 ($false),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[12080, 1562, 1557, 4182, 12062])).
% 1.40/1.57 tff(12082,plain,((~oxygen(cell99)) | (~oxygen(cell2))), inference(lemma,lemma(discharge,[]))).
% 1.40/1.57 tff(12083,plain,
% 1.40/1.57 (~oxygen(cell99)),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[12082, 12062])).
% 1.40/1.57 tff(12084,plain,
% 1.40/1.57 (oxygen(cell89)),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[1621, 12083, 1531, 12032, 12077])).
% 1.40/1.57 tff(12085,plain,
% 1.40/1.57 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell89 = cell2) | (~oxygen(cell89)) | (~oxygen(cell2)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell89 = cell2) | (~oxygen(cell89)) | (~oxygen(cell2)))),
% 1.40/1.57 inference(rewrite,[status(thm)],[])).
% 1.40/1.57 tff(12086,plain,
% 1.40/1.57 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell89 = cell2) | (~oxygen(cell89)) | (~oxygen(cell2)))),
% 1.40/1.57 inference(quant_inst,[status(thm)],[])).
% 1.40/1.57 tff(12087,plain,
% 1.40/1.57 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell89 = cell2) | (~oxygen(cell89)) | (~oxygen(cell2))),
% 1.40/1.57 inference(modus_ponens,[status(thm)],[12086, 12085])).
% 1.40/1.57 tff(12088,plain,
% 1.40/1.57 ($false),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[12087, 12084, 1557, 3236, 12062])).
% 1.40/1.57 tff(12089,plain,((~oxygen(cell2)) | oxygen(cell79)), inference(lemma,lemma(discharge,[]))).
% 1.40/1.57 tff(12090,plain,
% 1.40/1.57 (~oxygen(cell2)),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[12089, 1531])).
% 1.40/1.57 tff(12091,assumption,(Y!0 = cell2), introduced(assumption)).
% 1.40/1.57 tff(12092,plain,
% 1.40/1.57 (cell2 = Y!0),
% 1.40/1.57 inference(symmetry,[status(thm)],[12091])).
% 1.40/1.57 tff(12093,plain,
% 1.40/1.57 (oxygen(cell2) <=> oxygen(Y!0)),
% 1.40/1.57 inference(monotonicity,[status(thm)],[12092])).
% 1.40/1.57 tff(12094,plain,
% 1.40/1.57 (oxygen(Y!0) <=> oxygen(cell2)),
% 1.40/1.57 inference(symmetry,[status(thm)],[12093])).
% 1.40/1.57 tff(12095,plain,
% 1.40/1.57 (oxygen(cell2)),
% 1.40/1.57 inference(modus_ponens,[status(thm)],[1536, 12094])).
% 1.40/1.57 tff(12096,assumption,(~oxygen(cell2)), introduced(assumption)).
% 1.40/1.57 tff(12097,plain,
% 1.40/1.57 ($false),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[12096, 12095])).
% 1.40/1.57 tff(12098,plain,(oxygen(cell2) | (~(Y!0 = cell2))), inference(lemma,lemma(discharge,[]))).
% 1.40/1.57 tff(12099,plain,
% 1.40/1.57 (~(Y!0 = cell2)),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[12098, 12090])).
% 1.40/1.57 tff(12100,plain,
% 1.40/1.57 ((~(Y!0 = cell2)) | (~(X!1 = cell12))),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[3308, 12099])).
% 1.40/1.57 tff(12101,plain,
% 1.40/1.57 (~((~(Y!0 = cell11)) | (~(X!1 = cell12)))),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[2262, 12100, 12061, 11875, 11876, 12028, 12027, 12026, 12025, 12024, 12023, 12022, 12021, 12020, 12019, 12018, 12017, 12016, 12015, 12014, 12013, 12012, 12011, 12010, 12009, 12008, 12007, 12006, 12005, 12004, 12003, 12002, 12001, 12000, 11999, 11998, 11997, 11996, 11995, 11994, 11993, 11992, 11991, 11990, 11989, 11988, 11987, 11986, 11985, 11984, 11983, 11982, 11981, 11980, 11979, 11978, 11977, 11976, 11975, 11974, 11973, 11972, 11971, 11970, 11969, 11968, 11967, 11966, 11965, 11964, 11963, 11962, 11961, 11960, 11959, 11958, 11957, 11956, 11955, 11954, 11953, 11952, 11951, 11950, 11949, 11948, 11874, 11947, 11946, 11945, 11944, 11943, 11942, 11941, 11940, 11939, 11938, 11937, 11936, 11935, 11934, 11933, 11932, 11931, 11930, 11929, 11928, 11927, 11926, 11925, 11924, 11923, 11922, 11921, 11920, 11919, 11918, 11917, 11916, 11915, 11914, 11913, 11912, 11911, 11910, 11909, 11908, 11907, 11906, 11905, 11904, 11903, 11902, 11901, 11900, 11899, 11898, 11897, 11896, 11895, 11894, 11893, 11892, 11891, 11890, 11889, 11888, 11887, 11886, 11885, 11884, 11883, 11882, 11881, 11880, 11879, 11878, 11877, 12060, 12059, 11140, 11132, 11124, 11116, 11108, 11100, 11092, 11084, 11076, 11075, 11051, 11046, 11038, 11030, 11022, 11014, 11006, 10998, 10990])).
% 1.40/1.57 tff(12102,plain,
% 1.40/1.57 (Y!0 = cell11),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[2569, 12101])).
% 1.40/1.57 tff(12103,assumption,(Y!0 = cell11), introduced(assumption)).
% 1.40/1.57 tff(12104,plain,
% 1.40/1.57 (cell11 = Y!0),
% 1.40/1.57 inference(symmetry,[status(thm)],[12103])).
% 1.40/1.57 tff(12105,plain,
% 1.40/1.57 (oxygen(cell11) <=> oxygen(Y!0)),
% 1.40/1.57 inference(monotonicity,[status(thm)],[12104])).
% 1.40/1.57 tff(12106,plain,
% 1.40/1.57 (oxygen(Y!0) <=> oxygen(cell11)),
% 1.40/1.57 inference(symmetry,[status(thm)],[12105])).
% 1.40/1.57 tff(12107,plain,
% 1.40/1.57 (oxygen(cell11)),
% 1.40/1.57 inference(modus_ponens,[status(thm)],[1536, 12106])).
% 1.40/1.57 tff(12108,assumption,(~oxygen(cell11)), introduced(assumption)).
% 1.40/1.57 tff(12109,plain,
% 1.40/1.57 ($false),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[12108, 12107])).
% 1.40/1.57 tff(12110,plain,(oxygen(cell11) | (~(Y!0 = cell11))), inference(lemma,lemma(discharge,[]))).
% 1.40/1.57 tff(12111,plain,
% 1.40/1.57 (oxygen(cell11)),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[12110, 12102])).
% 1.40/1.57 tff(12112,assumption,(oxygen(cell11)), introduced(assumption)).
% 1.40/1.57 tff(12113,plain,
% 1.40/1.57 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell89 = cell11) | (~oxygen(cell89)) | (~oxygen(cell11)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell89 = cell11) | (~oxygen(cell89)) | (~oxygen(cell11)))),
% 1.40/1.57 inference(rewrite,[status(thm)],[])).
% 1.40/1.57 tff(12114,plain,
% 1.40/1.57 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell89 = cell11) | (~oxygen(cell89)) | (~oxygen(cell11)))),
% 1.40/1.57 inference(quant_inst,[status(thm)],[])).
% 1.40/1.57 tff(12115,plain,
% 1.40/1.57 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell89 = cell11) | (~oxygen(cell89)) | (~oxygen(cell11))),
% 1.40/1.57 inference(modus_ponens,[status(thm)],[12114, 12113])).
% 1.40/1.57 tff(12116,plain,
% 1.40/1.57 ($false),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[12115, 2278, 1557, 3249, 12112])).
% 1.40/1.57 tff(12117,plain,((~oxygen(cell89)) | (~oxygen(cell11))), inference(lemma,lemma(discharge,[]))).
% 1.40/1.57 tff(12118,plain,
% 1.40/1.57 (~oxygen(cell89)),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[12117, 12111])).
% 1.40/1.57 tff(12119,plain,
% 1.40/1.57 (oxygen(cell99)),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[1621, 12118, 1531, 12032, 12077])).
% 1.40/1.57 tff(12120,plain,
% 1.40/1.57 (((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell99 = cell11) | (~oxygen(cell99)) | (~oxygen(cell11)))) <=> ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell99 = cell11) | (~oxygen(cell99)) | (~oxygen(cell11)))),
% 1.40/1.57 inference(rewrite,[status(thm)],[])).
% 1.40/1.57 tff(12121,plain,
% 1.40/1.57 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | ((cell99 = cell11) | (~oxygen(cell99)) | (~oxygen(cell11)))),
% 1.40/1.57 inference(quant_inst,[status(thm)],[])).
% 1.40/1.57 tff(12122,plain,
% 1.40/1.57 ((~![Y: $i, X: $i] : ((X = Y) | (~oxygen(X)) | (~oxygen(Y)))) | (cell99 = cell11) | (~oxygen(cell99)) | (~oxygen(cell11))),
% 1.40/1.57 inference(modus_ponens,[status(thm)],[12121, 12120])).
% 1.40/1.57 tff(12123,plain,
% 1.40/1.57 ($false),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[12122, 12119, 1557, 4242, 12111])).
% 1.40/1.57 tff(12124,plain,(oxygen(cell79)), inference(lemma,lemma(discharge,[]))).
% 1.40/1.57 tff(12125,plain,
% 1.40/1.57 (cell79 = Y!0),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[2055, 12124])).
% 1.40/1.57 tff(12126,plain,
% 1.40/1.57 ((cell79 = cell11) <=> (Y!0 = cell11)),
% 1.40/1.57 inference(monotonicity,[status(thm)],[12125])).
% 1.40/1.57 tff(12127,plain,
% 1.40/1.57 ((~(cell79 = cell11)) <=> (~(Y!0 = cell11))),
% 1.40/1.57 inference(monotonicity,[status(thm)],[12126])).
% 1.40/1.57 tff(12128,plain,
% 1.40/1.57 (~(Y!0 = cell11)),
% 1.40/1.57 inference(modus_ponens,[status(thm)],[2567, 12127])).
% 1.40/1.57 tff(12129,plain,
% 1.40/1.57 ((~(Y!0 = cell11)) | (~(X!1 = cell12))),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[2569, 12128])).
% 1.40/1.57 tff(12130,plain,
% 1.40/1.57 ((cell79 = cell2) <=> (Y!0 = cell2)),
% 1.40/1.57 inference(monotonicity,[status(thm)],[12125])).
% 1.40/1.57 tff(12131,plain,
% 1.40/1.57 ((~(cell79 = cell2)) <=> (~(Y!0 = cell2))),
% 1.40/1.57 inference(monotonicity,[status(thm)],[12130])).
% 1.40/1.57 tff(12132,plain,
% 1.40/1.57 (~(Y!0 = cell2)),
% 1.40/1.57 inference(modus_ponens,[status(thm)],[2493, 12131])).
% 1.40/1.57 tff(12133,plain,
% 1.40/1.57 ((~(Y!0 = cell2)) | (~(X!1 = cell12))),
% 1.40/1.57 inference(unit_resolution,[status(thm)],[3308, 12132])).
% 1.40/1.57 tff(12134,plain,
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% 1.40/1.58 inference(unit_resolution,[status(thm)],[2262, 12133, 12061, 11875, 11876, 12028, 12027, 12026, 12025, 12024, 12023, 12022, 12021, 12020, 12019, 12018, 12017, 12016, 12015, 12014, 12013, 12012, 12011, 12010, 12009, 12008, 12007, 12006, 12005, 12004, 12003, 12002, 12001, 12000, 11999, 11998, 11997, 11996, 11995, 11994, 11993, 11992, 11991, 11990, 11989, 11988, 11987, 11986, 11985, 11984, 11983, 11982, 11981, 11980, 11979, 11978, 11977, 11976, 11975, 11974, 11973, 11972, 11971, 11970, 11969, 11968, 11967, 11966, 11965, 11964, 11963, 11962, 11961, 11960, 11959, 11958, 11957, 11956, 11955, 11954, 11953, 11952, 11951, 11950, 11949, 11948, 11874, 11947, 11946, 11945, 11944, 11943, 11942, 11941, 11940, 11939, 11938, 11937, 11936, 11935, 11934, 11933, 11932, 11931, 11930, 11929, 11928, 11927, 11926, 11925, 11924, 11923, 11922, 11921, 11920, 11919, 11918, 11917, 11916, 11915, 11914, 11913, 11912, 11911, 11910, 11909, 11908, 11907, 11906, 11905, 11904, 11903, 11902, 11901, 11900, 11899, 11898, 11897, 11896, 11895, 11894, 11893, 11892, 11891, 11890, 11889, 11888, 11887, 11886, 11885, 11884, 11883, 11882, 11881, 11880, 11879, 11878, 11877, 12060, 12129, 11140, 11132, 11124, 11116, 11108, 11100, 11092, 11084, 11076, 11075, 11051, 11046, 11038, 11030, 11022, 11014, 11006, 10998, 10990])).
% 1.40/1.58 tff(12135,plain,
% 1.40/1.58 (~edge(Y!0, X!1)),
% 1.40/1.58 inference(unit_resolution,[status(thm)],[2153, 12134])).
% 1.40/1.58 tff(12136,plain,
% 1.40/1.58 ((cell79 = cell13) <=> (Y!0 = cell13)),
% 1.40/1.58 inference(monotonicity,[status(thm)],[12125])).
% 1.40/1.58 tff(12137,plain,
% 1.40/1.58 ((~(cell79 = cell13)) <=> (~(Y!0 = cell13))),
% 1.40/1.58 inference(monotonicity,[status(thm)],[12136])).
% 1.40/1.58 tff(12138,plain,
% 1.40/1.58 (~(Y!0 = cell13)),
% 1.40/1.58 inference(modus_ponens,[status(thm)],[857, 12137])).
% 1.40/1.58 tff(12139,plain,
% 1.40/1.58 ((~(X!1 = cell12)) | (~(Y!0 = cell13))),
% 1.40/1.58 inference(unit_resolution,[status(thm)],[3580, 12138])).
% 1.40/1.58 tff(12140,plain,
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cell54)))) | (~((~(X!1 = cell52)) | (~(Y!0 = cell53)))) | (~((~(X!1 = cell51)) | (~(Y!0 = cell52)))) | (~((~(X!1 = cell49)) | (~(Y!0 = cell50)))) | (~((~(X!1 = cell48)) | (~(Y!0 = cell49)))) | (~((~(X!1 = cell47)) | (~(Y!0 = cell48)))) | (~((~(X!1 = cell46)) | (~(Y!0 = cell47)))) | (~((~(X!1 = cell45)) | (~(Y!0 = cell46)))) | (~((~(X!1 = cell44)) | (~(Y!0 = cell45)))) | (~((~(X!1 = cell43)) | (~(Y!0 = cell44)))) | (~((~(X!1 = cell42)) | (~(Y!0 = cell43)))) | (~((~(X!1 = cell41)) | (~(Y!0 = cell42)))) | (~((~(X!1 = cell39)) | (~(Y!0 = cell40)))) | (~((~(X!1 = cell38)) | (~(Y!0 = cell39)))) | (~((~(X!1 = cell37)) | (~(Y!0 = cell38)))) | (~((~(X!1 = cell36)) | (~(Y!0 = cell37)))) | (~((~(X!1 = cell35)) | (~(Y!0 = cell36)))) | (~((~(X!1 = cell34)) | (~(Y!0 = cell35)))) | (~((~(X!1 = cell33)) | (~(Y!0 = cell34)))) | (~((~(X!1 = cell32)) | (~(Y!0 = cell33)))) | (~((~(X!1 = cell31)) | (~(Y!0 = cell32)))) | (~((~(X!1 = cell29)) | (~(Y!0 = cell30)))) | (~((~(X!1 = cell28)) | (~(Y!0 = cell29)))) | (~((~(X!1 = cell27)) | (~(Y!0 = cell28)))) | (~((~(X!1 = cell26)) | (~(Y!0 = cell27)))) | (~((~(X!1 = cell25)) | (~(Y!0 = cell26)))) | (~((~(X!1 = cell24)) | (~(Y!0 = cell25)))) | (~((~(X!1 = cell23)) | (~(Y!0 = cell24)))) | (~((~(X!1 = cell22)) | (~(Y!0 = cell23)))) | (~((~(X!1 = cell21)) | (~(Y!0 = cell22)))) | (~((~(X!1 = cell19)) | (~(Y!0 = cell20)))) | (~((~(X!1 = cell18)) | (~(Y!0 = cell19)))) | (~((~(X!1 = cell17)) | (~(Y!0 = cell18)))) | (~((~(X!1 = cell16)) | (~(Y!0 = cell17)))) | (~((~(X!1 = cell15)) | (~(Y!0 = cell16)))) | (~((~(X!1 = cell14)) | (~(Y!0 = cell15)))) | (~((~(X!1 = cell13)) | (~(Y!0 = cell14)))) | (~((~(X!1 = cell12)) | (~(Y!0 = cell13)))) | (~((~(X!1 = cell11)) | (~(Y!0 = cell12)))) | (~((~(X!1 = cell9)) | (~(Y!0 = cell10)))) | (~((~(X!1 = cell8)) | (~(Y!0 = cell9)))) | (~((~(X!1 = cell7)) | (~(Y!0 = cell8)))) | (~((~(X!1 = cell6)) | (~(Y!0 = cell7)))) | (~((~(X!1 = cell5)) | (~(Y!0 = cell6)))) | (~((~(X!1 = cell4)) | (~(Y!0 = cell5)))) | (~((~(X!1 = cell3)) | (~(Y!0 = cell4)))) | (~((~(X!1 = cell2)) | (~(Y!0 = cell3)))) | (~((~(X!1 = cell1)) | (~(Y!0 = cell2)))))),
% 1.40/1.64 inference(unit_resolution,[status(thm)],[2256, 12139, 11859, 11858, 11854, 11853, 11845, 11844, 11843, 11842, 11841, 11840, 11839, 11838, 11837, 11836, 11835, 11834, 11833, 11832, 11824, 11823, 11822, 11821, 11820, 11819, 11818, 11817, 11816, 11815, 11807, 11806, 11805, 11804, 11803, 11802, 11801, 11800, 11799, 11798, 11790, 11789, 11788, 11787, 11786, 11785, 11784, 11783, 11782, 11781, 11773, 11772, 11771, 11770, 11769, 11768, 11767, 11766, 11765, 11764, 11756, 11755, 11754, 11753, 11752, 11751, 11750, 11749, 11748, 11747, 11739, 11738, 11737, 11736, 11735, 11734, 11733, 11732, 11731, 11730, 11729, 11728, 11727, 11726, 11725, 11724, 11723, 11722, 11721, 11720, 11719, 11711, 11710, 11709, 11708, 11707, 11706, 11705, 11697, 11696, 11691, 11690, 11689, 11681, 11680, 11672, 11664, 11656, 11651, 11643, 11635, 11627, 11619, 11611, 11603, 11595, 11587, 11579, 11571, 11563, 11555, 11547, 11539, 11531, 11523, 11515, 11507, 11499, 11491, 11483, 11475, 11467, 11459, 11451, 11443, 11435, 11427, 11419, 11411, 11403, 11395, 11387, 11379, 11371, 11363, 11355, 11347, 11339, 11331, 11323, 11315, 11307, 11299, 11291, 11283, 11275, 11267, 11259, 11251, 11243, 11236, 11228, 11220, 11212, 11204, 11196, 11188, 11181, 11173, 11168, 11167, 11166, 11165, 11164, 11163, 11162, 11161, 11156, 11148])).
% 1.40/1.64 tff(12141,plain,
% 1.40/1.64 (~edge(X!1, Y!0)),
% 1.40/1.64 inference(unit_resolution,[status(thm)],[2258, 12140])).
% 1.40/1.64 tff(12142,plain,
% 1.40/1.64 ($false),
% 1.40/1.64 inference(unit_resolution,[status(thm)],[2141, 12141, 12135])).
% 1.40/1.64 % SZS output end Proof
% 1.40/1.64 % E exiting
%------------------------------------------------------------------------------