%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : HWV033-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n003.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 05:09:01 AM UTC 2025
% Result : Unsatisfiable 0.21s 0.43s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HWV033-1 : TPTP v9.0.0. Released v2.5.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 17:20:24 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.21/0.43 % SZS status Unsatisfiable
% 0.21/0.43 % SZS output start Proof
% 0.21/0.43 tff(gt_type, type, (
% 0.21/0.43 gt: ( $i * $i ) > $o)).
% 0.21/0.43 tff(minus_type, type, (
% 0.21/0.43 minus: ( $i * $i ) > $i)).
% 0.21/0.43 tff(n1_type, type, (
% 0.21/0.43 n1: $i)).
% 0.21/0.43 tff(fifo_length_type, type, (
% 0.21/0.43 fifo_length: $i)).
% 0.21/0.43 tff(rd_level_type, type, (
% 0.21/0.43 rd_level: $i > $i)).
% 0.21/0.43 tff(t_139_type, type, (
% 0.21/0.43 t_139: $i)).
% 0.21/0.43 tff(plus_type, type, (
% 0.21/0.43 plus: ( $i * $i ) > $i)).
% 0.21/0.43 tff(p_Rd_type, type, (
% 0.21/0.43 p_Rd: $i > $o)).
% 0.21/0.43 tff(p_Reset_type, type, (
% 0.21/0.43 p_Reset: $i > $o)).
% 0.21/0.43 tff(n0_type, type, (
% 0.21/0.43 n0: $i)).
% 0.21/0.43 tff(def_10_type, type, (
% 0.21/0.43 def_10: ( $i * $i ) > $o)).
% 0.21/0.43 tff(p_Wr_type, type, (
% 0.21/0.43 p_Wr: $i > $o)).
% 0.21/0.43 tff(int_level_type, type, (
% 0.21/0.43 int_level: $i > $i)).
% 0.21/0.43 tff(1,plain,
% 0.21/0.43 ((n1 = plus(n0, n1)) <=> (n1 = plus(n0, n1))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(2,axiom,(n1 = plus(n0, n1)), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_20')).
% 0.21/0.43 tff(3,plain,
% 0.21/0.43 (n1 = plus(n0, n1)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.21/0.43 tff(4,plain,
% 0.21/0.43 (plus(n0, n1) = n1),
% 0.21/0.43 inference(symmetry,[status(thm)],[3])).
% 0.21/0.43 tff(5,plain,
% 0.21/0.43 (plus(n0, plus(n0, n1)) = plus(n0, n1)),
% 0.21/0.43 inference(monotonicity,[status(thm)],[4])).
% 0.21/0.43 tff(6,plain,
% 0.21/0.43 (plus(n0, n1) = plus(n0, plus(n0, n1))),
% 0.21/0.43 inference(symmetry,[status(thm)],[5])).
% 0.21/0.43 tff(7,plain,
% 0.21/0.43 (def_10(plus(n0, n1), plus(n0, n1)) <=> def_10(plus(n0, n1), plus(n0, plus(n0, n1)))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[6])).
% 0.21/0.43 tff(8,plain,
% 0.21/0.43 ((~def_10(plus(n0, n1), plus(n0, n1))) <=> (~def_10(plus(n0, n1), plus(n0, plus(n0, n1))))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[7])).
% 0.21/0.43 tff(9,assumption,(def_10(plus(n0, n1), plus(n0, n1))), introduced(assumption)).
% 0.21/0.43 tff(10,plain,
% 0.21/0.43 (^[Y_4: $i] : refl((~def_10(Y_4, Y_4)) <=> (~def_10(Y_4, Y_4)))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(11,plain,
% 0.21/0.43 (![Y_4: $i] : (~def_10(Y_4, Y_4)) <=> ![Y_4: $i] : (~def_10(Y_4, Y_4))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[10])).
% 0.21/0.43 tff(12,plain,
% 0.21/0.43 (![Y_4: $i] : (~def_10(Y_4, Y_4)) <=> ![Y_4: $i] : (~def_10(Y_4, Y_4))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(13,plain,
% 0.21/0.43 (![Y_4: $i, X_3: $i] : (~def_10(Y_4, Y_4)) <=> ![Y_4: $i] : (~def_10(Y_4, Y_4))),
% 0.21/0.43 inference(elim_unused_vars,[status(thm)],[])).
% 0.21/0.43 tff(14,plain,
% 0.21/0.43 (![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~(X_3 = Y_4))) <=> ![Y_4: $i, X_3: $i] : (~def_10(Y_4, Y_4))),
% 0.21/0.43 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.21/0.43 tff(15,plain,
% 0.21/0.43 (![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~(X_3 = Y_4))) <=> ![Y_4: $i] : (~def_10(Y_4, Y_4))),
% 0.21/0.43 inference(transitivity,[status(thm)],[14, 13])).
% 0.21/0.43 tff(16,axiom,(![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~(X_3 = Y_4)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_7')).
% 0.21/0.43 tff(17,plain,
% 0.21/0.43 (![Y_4: $i] : (~def_10(Y_4, Y_4))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.21/0.43 tff(18,plain,
% 0.21/0.43 (![Y_4: $i] : (~def_10(Y_4, Y_4))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[17, 12])).
% 0.21/0.43 tff(19,plain,(
% 0.21/0.43 ![Y_4: $i] : (~def_10(Y_4, Y_4))),
% 0.21/0.43 inference(skolemize,[status(sab)],[18])).
% 0.21/0.43 tff(20,plain,
% 0.21/0.43 (![Y_4: $i] : (~def_10(Y_4, Y_4))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[19, 11])).
% 0.21/0.43 tff(21,plain,
% 0.21/0.43 ((~![Y_4: $i] : (~def_10(Y_4, Y_4))) | (~def_10(plus(n0, n1), plus(n0, n1)))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(22,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[21, 20, 9])).
% 0.21/0.43 tff(23,plain,(~def_10(plus(n0, n1), plus(n0, n1))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.43 tff(24,plain,
% 0.21/0.43 (~def_10(plus(n0, n1), plus(n0, plus(n0, n1)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[23, 8])).
% 0.21/0.43 tff(25,plain,
% 0.21/0.43 (^[Y_4: $i, Z_5: $i] : refl((def_10(Y_4, plus(Z_5, Y_4)) | (minus(plus(Z_5, Y_4), Y_4) = Z_5)) <=> (def_10(Y_4, plus(Z_5, Y_4)) | (minus(plus(Z_5, Y_4), Y_4) = Z_5)))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(26,plain,
% 0.21/0.43 (![Y_4: $i, Z_5: $i] : (def_10(Y_4, plus(Z_5, Y_4)) | (minus(plus(Z_5, Y_4), Y_4) = Z_5)) <=> ![Y_4: $i, Z_5: $i] : (def_10(Y_4, plus(Z_5, Y_4)) | (minus(plus(Z_5, Y_4), Y_4) = Z_5))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[25])).
% 0.21/0.43 tff(27,plain,
% 0.21/0.43 (![Y_4: $i, Z_5: $i] : (def_10(Y_4, plus(Z_5, Y_4)) | (minus(plus(Z_5, Y_4), Y_4) = Z_5)) <=> ![Y_4: $i, Z_5: $i] : (def_10(Y_4, plus(Z_5, Y_4)) | (minus(plus(Z_5, Y_4), Y_4) = Z_5))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(28,plain,
% 0.21/0.43 (![Y_4: $i, Z_5: $i, X_3: $i] : (def_10(Y_4, plus(Z_5, Y_4)) | (minus(plus(Z_5, Y_4), Y_4) = Z_5)) <=> ![Y_4: $i, Z_5: $i] : (def_10(Y_4, plus(Z_5, Y_4)) | (minus(plus(Z_5, Y_4), Y_4) = Z_5))),
% 0.21/0.43 inference(elim_unused_vars,[status(thm)],[])).
% 0.21/0.43 tff(29,plain,
% 0.21/0.43 (![Y_4: $i, Z_5: $i, X_3: $i] : (def_10(Y_4, X_3) | (minus(X_3, Y_4) = Z_5) | (~(plus(Z_5, Y_4) = X_3))) <=> ![Y_4: $i, Z_5: $i, X_3: $i] : (def_10(Y_4, plus(Z_5, Y_4)) | (minus(plus(Z_5, Y_4), Y_4) = Z_5))),
% 0.21/0.43 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.21/0.43 tff(30,plain,
% 0.21/0.43 (![Y_4: $i, Z_5: $i, X_3: $i] : (def_10(Y_4, X_3) | (minus(X_3, Y_4) = Z_5) | (~(plus(Z_5, Y_4) = X_3))) <=> ![Y_4: $i, Z_5: $i] : (def_10(Y_4, plus(Z_5, Y_4)) | (minus(plus(Z_5, Y_4), Y_4) = Z_5))),
% 0.21/0.43 inference(transitivity,[status(thm)],[29, 28])).
% 0.21/0.43 tff(31,plain,
% 0.21/0.43 (^[Y_4: $i, Z_5: $i, X_3: $i] : trans(monotonicity(rewrite(((minus(X_3, Y_4) = Z_5) | (~(plus(Z_5, Y_4) = X_3))) <=> ((minus(X_3, Y_4) = Z_5) | (~(plus(Z_5, Y_4) = X_3)))), ((((minus(X_3, Y_4) = Z_5) | (~(plus(Z_5, Y_4) = X_3))) | def_10(Y_4, X_3)) <=> (((minus(X_3, Y_4) = Z_5) | (~(plus(Z_5, Y_4) = X_3))) | def_10(Y_4, X_3)))), rewrite((((minus(X_3, Y_4) = Z_5) | (~(plus(Z_5, Y_4) = X_3))) | def_10(Y_4, X_3)) <=> (def_10(Y_4, X_3) | (minus(X_3, Y_4) = Z_5) | (~(plus(Z_5, Y_4) = X_3)))), ((((minus(X_3, Y_4) = Z_5) | (~(plus(Z_5, Y_4) = X_3))) | def_10(Y_4, X_3)) <=> (def_10(Y_4, X_3) | (minus(X_3, Y_4) = Z_5) | (~(plus(Z_5, Y_4) = X_3)))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(32,plain,
% 0.21/0.43 (![Y_4: $i, Z_5: $i, X_3: $i] : (((minus(X_3, Y_4) = Z_5) | (~(plus(Z_5, Y_4) = X_3))) | def_10(Y_4, X_3)) <=> ![Y_4: $i, Z_5: $i, X_3: $i] : (def_10(Y_4, X_3) | (minus(X_3, Y_4) = Z_5) | (~(plus(Z_5, Y_4) = X_3)))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[31])).
% 0.21/0.43 tff(33,plain,
% 0.21/0.43 (![Y_4: $i, Z_5: $i, X_3: $i] : (((minus(X_3, Y_4) = Z_5) | (~(plus(Z_5, Y_4) = X_3))) | def_10(Y_4, X_3)) <=> ![Y_4: $i, Z_5: $i] : (def_10(Y_4, plus(Z_5, Y_4)) | (minus(plus(Z_5, Y_4), Y_4) = Z_5))),
% 0.21/0.43 inference(transitivity,[status(thm)],[32, 30])).
% 0.21/0.43 tff(34,axiom,(![Y_4: $i, Z_5: $i, X_3: $i] : (((minus(X_3, Y_4) = Z_5) | (~(plus(Z_5, Y_4) = X_3))) | def_10(Y_4, X_3))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_5')).
% 0.21/0.43 tff(35,plain,
% 0.21/0.43 (![Y_4: $i, Z_5: $i] : (def_10(Y_4, plus(Z_5, Y_4)) | (minus(plus(Z_5, Y_4), Y_4) = Z_5))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.21/0.43 tff(36,plain,
% 0.21/0.43 (![Y_4: $i, Z_5: $i] : (def_10(Y_4, plus(Z_5, Y_4)) | (minus(plus(Z_5, Y_4), Y_4) = Z_5))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[35, 27])).
% 0.21/0.43 tff(37,plain,(
% 0.21/0.43 ![Y_4: $i, Z_5: $i] : (def_10(Y_4, plus(Z_5, Y_4)) | (minus(plus(Z_5, Y_4), Y_4) = Z_5))),
% 0.21/0.43 inference(skolemize,[status(sab)],[36])).
% 0.21/0.43 tff(38,plain,
% 0.21/0.43 (![Y_4: $i, Z_5: $i] : (def_10(Y_4, plus(Z_5, Y_4)) | (minus(plus(Z_5, Y_4), Y_4) = Z_5))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[37, 26])).
% 0.21/0.43 tff(39,plain,
% 0.21/0.43 (((~![Y_4: $i, Z_5: $i] : (def_10(Y_4, plus(Z_5, Y_4)) | (minus(plus(Z_5, Y_4), Y_4) = Z_5))) | (def_10(plus(n0, n1), plus(n0, plus(n0, n1))) | (minus(plus(n0, plus(n0, n1)), plus(n0, n1)) = n0))) <=> ((~![Y_4: $i, Z_5: $i] : (def_10(Y_4, plus(Z_5, Y_4)) | (minus(plus(Z_5, Y_4), Y_4) = Z_5))) | def_10(plus(n0, n1), plus(n0, plus(n0, n1))) | (minus(plus(n0, plus(n0, n1)), plus(n0, n1)) = n0))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(40,plain,
% 0.21/0.43 ((~![Y_4: $i, Z_5: $i] : (def_10(Y_4, plus(Z_5, Y_4)) | (minus(plus(Z_5, Y_4), Y_4) = Z_5))) | (def_10(plus(n0, n1), plus(n0, plus(n0, n1))) | (minus(plus(n0, plus(n0, n1)), plus(n0, n1)) = n0))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(41,plain,
% 0.21/0.43 ((~![Y_4: $i, Z_5: $i] : (def_10(Y_4, plus(Z_5, Y_4)) | (minus(plus(Z_5, Y_4), Y_4) = Z_5))) | def_10(plus(n0, n1), plus(n0, plus(n0, n1))) | (minus(plus(n0, plus(n0, n1)), plus(n0, n1)) = n0)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.21/0.43 tff(42,plain,
% 0.21/0.43 (def_10(plus(n0, n1), plus(n0, plus(n0, n1))) | (minus(plus(n0, plus(n0, n1)), plus(n0, n1)) = n0)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[41, 38])).
% 0.21/0.43 tff(43,plain,
% 0.21/0.43 (minus(plus(n0, plus(n0, n1)), plus(n0, n1)) = n0),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[42, 24])).
% 0.21/0.43 tff(44,plain,
% 0.21/0.43 (n0 = minus(plus(n0, plus(n0, n1)), plus(n0, n1))),
% 0.21/0.43 inference(symmetry,[status(thm)],[43])).
% 0.21/0.43 tff(45,assumption,(rd_level(plus(t_139, n1)) = n0), introduced(assumption)).
% 0.21/0.43 tff(46,plain,
% 0.21/0.43 (rd_level(plus(t_139, n1)) = minus(plus(n0, plus(n0, n1)), plus(n0, n1))),
% 0.21/0.43 inference(transitivity,[status(thm)],[45, 44])).
% 0.21/0.43 tff(47,plain,
% 0.21/0.43 (gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1)) <=> gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(fifo_length, n1))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[46])).
% 0.21/0.43 tff(48,plain,
% 0.21/0.43 (gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(fifo_length, n1)) <=> gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1))),
% 0.21/0.43 inference(symmetry,[status(thm)],[47])).
% 0.21/0.43 tff(49,plain,
% 0.21/0.43 ((~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(fifo_length, n1))) <=> (~gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1)))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[48])).
% 0.21/0.43 tff(50,plain,
% 0.21/0.43 ((plus(minus(fifo_length, n1), n1) = minus(plus(n0, plus(n0, n1)), plus(n0, n1))) <=> (plus(minus(fifo_length, n1), n1) = n0)),
% 0.21/0.43 inference(monotonicity,[status(thm)],[43])).
% 0.21/0.43 tff(51,plain,
% 0.21/0.43 ((plus(minus(fifo_length, n1), n1) = n0) <=> (plus(minus(fifo_length, n1), n1) = minus(plus(n0, plus(n0, n1)), plus(n0, n1)))),
% 0.21/0.43 inference(symmetry,[status(thm)],[50])).
% 0.21/0.43 tff(52,plain,
% 0.21/0.43 ((~(plus(minus(fifo_length, n1), n1) = n0)) <=> (~(plus(minus(fifo_length, n1), n1) = minus(plus(n0, plus(n0, n1)), plus(n0, n1))))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[51])).
% 0.21/0.43 tff(53,plain,
% 0.21/0.43 (^[X_0: $i] : refl((~(plus(X_0, n1) = n0)) <=> (~(plus(X_0, n1) = n0)))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(54,plain,
% 0.21/0.43 (![X_0: $i] : (~(plus(X_0, n1) = n0)) <=> ![X_0: $i] : (~(plus(X_0, n1) = n0))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[53])).
% 0.21/0.43 tff(55,plain,
% 0.21/0.43 (![X_0: $i] : (~(plus(X_0, n1) = n0)) <=> ![X_0: $i] : (~(plus(X_0, n1) = n0))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(56,axiom,(![X_0: $i] : (~(plus(X_0, n1) = n0))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_1')).
% 0.21/0.43 tff(57,plain,
% 0.21/0.43 (![X_0: $i] : (~(plus(X_0, n1) = n0))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.21/0.43 tff(58,plain,(
% 0.21/0.43 ![X_0: $i] : (~(plus(X_0, n1) = n0))),
% 0.21/0.43 inference(skolemize,[status(sab)],[57])).
% 0.21/0.43 tff(59,plain,
% 0.21/0.43 (![X_0: $i] : (~(plus(X_0, n1) = n0))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[58, 54])).
% 0.21/0.43 tff(60,plain,
% 0.21/0.43 ((~![X_0: $i] : (~(plus(X_0, n1) = n0))) | (~(plus(minus(fifo_length, n1), n1) = n0))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(61,plain,
% 0.21/0.43 (~(plus(minus(fifo_length, n1), n1) = n0)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[60, 59])).
% 0.21/0.43 tff(62,plain,
% 0.21/0.43 (~(plus(minus(fifo_length, n1), n1) = minus(plus(n0, plus(n0, n1)), plus(n0, n1)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[61, 52])).
% 0.21/0.43 tff(63,plain,
% 0.21/0.43 (^[Y_4: $i, X_3: $i] : refl((def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3)) <=> (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3)))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(64,plain,
% 0.21/0.43 (![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3)) <=> ![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[63])).
% 0.21/0.43 tff(65,plain,
% 0.21/0.43 (![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3)) <=> ![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(66,plain,
% 0.21/0.43 (![Y_4: $i, Z_5: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3)) <=> ![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))),
% 0.21/0.43 inference(elim_unused_vars,[status(thm)],[])).
% 0.21/0.43 tff(67,plain,
% 0.21/0.43 (![Y_4: $i, Z_5: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(Z_5, Y_4) = X_3) | (~(minus(X_3, Y_4) = Z_5))) <=> ![Y_4: $i, Z_5: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))),
% 0.21/0.44 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.21/0.44 tff(68,plain,
% 0.21/0.44 (![Y_4: $i, Z_5: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(Z_5, Y_4) = X_3) | (~(minus(X_3, Y_4) = Z_5))) <=> ![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))),
% 0.21/0.44 inference(transitivity,[status(thm)],[67, 66])).
% 0.21/0.44 tff(69,plain,
% 0.21/0.44 (^[Y_4: $i, Z_5: $i, X_3: $i] : rewrite((((~(minus(X_3, Y_4) = Z_5)) | (plus(Z_5, Y_4) = X_3)) | def_10(Y_4, X_3)) <=> (def_10(Y_4, X_3) | (plus(Z_5, Y_4) = X_3) | (~(minus(X_3, Y_4) = Z_5))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(70,plain,
% 0.21/0.44 (![Y_4: $i, Z_5: $i, X_3: $i] : (((~(minus(X_3, Y_4) = Z_5)) | (plus(Z_5, Y_4) = X_3)) | def_10(Y_4, X_3)) <=> ![Y_4: $i, Z_5: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(Z_5, Y_4) = X_3) | (~(minus(X_3, Y_4) = Z_5)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[69])).
% 0.21/0.44 tff(71,plain,
% 0.21/0.44 (![Y_4: $i, Z_5: $i, X_3: $i] : (((~(minus(X_3, Y_4) = Z_5)) | (plus(Z_5, Y_4) = X_3)) | def_10(Y_4, X_3)) <=> ![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))),
% 0.21/0.44 inference(transitivity,[status(thm)],[70, 68])).
% 0.21/0.44 tff(72,axiom,(![Y_4: $i, Z_5: $i, X_3: $i] : (((~(minus(X_3, Y_4) = Z_5)) | (plus(Z_5, Y_4) = X_3)) | def_10(Y_4, X_3))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_4')).
% 0.21/0.44 tff(73,plain,
% 0.21/0.44 (![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.21/0.44 tff(74,plain,
% 0.21/0.44 (![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[73, 65])).
% 0.21/0.44 tff(75,plain,(
% 0.21/0.44 ![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))),
% 0.21/0.44 inference(skolemize,[status(sab)],[74])).
% 0.21/0.44 tff(76,plain,
% 0.21/0.44 (![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[75, 64])).
% 0.21/0.44 tff(77,plain,
% 0.21/0.44 (((~![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))) | (def_10(plus(n0, n1), plus(n0, n1)) | (plus(minus(plus(n0, n1), plus(n0, n1)), plus(n0, n1)) = plus(n0, n1)))) <=> ((~![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))) | def_10(plus(n0, n1), plus(n0, n1)) | (plus(minus(plus(n0, n1), plus(n0, n1)), plus(n0, n1)) = plus(n0, n1)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(78,plain,
% 0.21/0.44 ((~![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))) | (def_10(plus(n0, n1), plus(n0, n1)) | (plus(minus(plus(n0, n1), plus(n0, n1)), plus(n0, n1)) = plus(n0, n1)))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(79,plain,
% 0.21/0.44 ((~![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))) | def_10(plus(n0, n1), plus(n0, n1)) | (plus(minus(plus(n0, n1), plus(n0, n1)), plus(n0, n1)) = plus(n0, n1))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.21/0.44 tff(80,plain,
% 0.21/0.44 (def_10(plus(n0, n1), plus(n0, n1)) | (plus(minus(plus(n0, n1), plus(n0, n1)), plus(n0, n1)) = plus(n0, n1))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[79, 76])).
% 0.21/0.44 tff(81,plain,
% 0.21/0.44 (plus(minus(plus(n0, n1), plus(n0, n1)), plus(n0, n1)) = plus(n0, n1)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[80, 23])).
% 0.21/0.44 tff(82,plain,
% 0.21/0.44 (minus(plus(n0, n1), plus(n0, n1)) = minus(plus(n0, plus(n0, n1)), plus(n0, n1))),
% 0.21/0.44 inference(monotonicity,[status(thm)],[6])).
% 0.21/0.44 tff(83,plain,
% 0.21/0.44 (minus(plus(n0, plus(n0, n1)), plus(n0, n1)) = minus(plus(n0, n1), plus(n0, n1))),
% 0.21/0.44 inference(symmetry,[status(thm)],[82])).
% 0.21/0.44 tff(84,plain,
% 0.21/0.44 (plus(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), n1) = plus(minus(plus(n0, n1), plus(n0, n1)), plus(n0, n1))),
% 0.21/0.44 inference(monotonicity,[status(thm)],[83, 3])).
% 0.21/0.44 tff(85,plain,
% 0.21/0.44 (plus(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), n1) = plus(n0, n1)),
% 0.21/0.44 inference(transitivity,[status(thm)],[84, 81])).
% 0.21/0.44 tff(86,plain,
% 0.21/0.44 (gt(fifo_length, plus(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), n1)) <=> gt(fifo_length, plus(n0, n1))),
% 0.21/0.44 inference(monotonicity,[status(thm)],[85])).
% 0.21/0.44 tff(87,plain,
% 0.21/0.44 (gt(fifo_length, plus(n0, n1)) <=> gt(fifo_length, plus(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), n1))),
% 0.21/0.44 inference(symmetry,[status(thm)],[86])).
% 0.21/0.44 tff(88,plain,
% 0.21/0.44 ((~gt(fifo_length, plus(n0, n1))) <=> (~gt(fifo_length, plus(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), n1)))),
% 0.21/0.44 inference(monotonicity,[status(thm)],[87])).
% 0.21/0.44 tff(89,assumption,(def_10(plus(n0, n1), fifo_length)), introduced(assumption)).
% 0.21/0.44 tff(90,plain,
% 0.21/0.44 (^[Y_4: $i, X_3: $i] : refl(((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4))) <=> ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(91,plain,
% 0.21/0.44 (![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4))) <=> ![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[90])).
% 0.21/0.44 tff(92,plain,
% 0.21/0.44 (![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4))) <=> ![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(93,axiom,(![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_6')).
% 0.21/0.44 tff(94,plain,
% 0.21/0.44 (![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.21/0.44 tff(95,plain,(
% 0.21/0.44 ![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4)))),
% 0.21/0.44 inference(skolemize,[status(sab)],[94])).
% 0.21/0.44 tff(96,plain,
% 0.21/0.44 (![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[95, 91])).
% 0.21/0.44 tff(97,plain,
% 0.21/0.44 (((~![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4)))) | ((~def_10(plus(n0, n1), fifo_length)) | (~gt(fifo_length, plus(n0, n1))))) <=> ((~![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4)))) | (~def_10(plus(n0, n1), fifo_length)) | (~gt(fifo_length, plus(n0, n1))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(98,plain,
% 0.21/0.44 ((~![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4)))) | ((~def_10(plus(n0, n1), fifo_length)) | (~gt(fifo_length, plus(n0, n1))))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(99,plain,
% 0.21/0.44 ((~![Y_4: $i, X_3: $i] : ((~def_10(Y_4, X_3)) | (~gt(X_3, Y_4)))) | (~def_10(plus(n0, n1), fifo_length)) | (~gt(fifo_length, plus(n0, n1)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.21/0.44 tff(100,plain,
% 0.21/0.44 (~gt(fifo_length, plus(n0, n1))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[99, 96, 89])).
% 0.21/0.44 tff(101,plain,
% 0.21/0.44 (~gt(fifo_length, plus(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), n1))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[100, 88])).
% 0.21/0.44 tff(102,plain,
% 0.21/0.44 (gt(fifo_length, minus(plus(n0, plus(n0, n1)), plus(n0, n1))) <=> gt(fifo_length, n0)),
% 0.21/0.44 inference(monotonicity,[status(thm)],[43])).
% 0.21/0.44 tff(103,plain,
% 0.21/0.44 (gt(fifo_length, n0) <=> gt(fifo_length, minus(plus(n0, plus(n0, n1)), plus(n0, n1)))),
% 0.21/0.44 inference(symmetry,[status(thm)],[102])).
% 0.21/0.44 tff(104,plain,
% 0.21/0.44 (gt(fifo_length, n0) <=> gt(fifo_length, n0)),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(105,axiom,(gt(fifo_length, n0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_3')).
% 0.21/0.44 tff(106,plain,
% 0.21/0.44 (gt(fifo_length, n0)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.21/0.44 tff(107,plain,
% 0.21/0.44 (gt(fifo_length, minus(plus(n0, plus(n0, n1)), plus(n0, n1)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[106, 103])).
% 0.21/0.44 tff(108,plain,
% 0.21/0.44 (^[Y_24: $i, X_23: $i] : refl((gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24)) <=> (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24)))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(109,plain,
% 0.21/0.44 (![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24)) <=> ![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[108])).
% 0.21/0.44 tff(110,plain,
% 0.21/0.44 (![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24)) <=> ![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(111,plain,
% 0.21/0.44 (^[Y_24: $i, X_23: $i] : rewrite((((~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24)) | gt(Y_24, plus(X_23, n1))) <=> (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24)))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(112,plain,
% 0.21/0.44 (![Y_24: $i, X_23: $i] : (((~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24)) | gt(Y_24, plus(X_23, n1))) <=> ![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[111])).
% 0.21/0.44 tff(113,axiom,(![Y_24: $i, X_23: $i] : (((~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24)) | gt(Y_24, plus(X_23, n1)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_14')).
% 0.21/0.44 tff(114,plain,
% 0.21/0.44 (![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.21/0.44 tff(115,plain,
% 0.21/0.44 (![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[114, 110])).
% 0.21/0.44 tff(116,plain,(
% 0.21/0.44 ![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))),
% 0.21/0.44 inference(skolemize,[status(sab)],[115])).
% 0.21/0.44 tff(117,plain,
% 0.21/0.44 (![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[116, 109])).
% 0.21/0.44 tff(118,plain,
% 0.21/0.44 (((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | (gt(fifo_length, plus(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), n1)) | (~gt(fifo_length, minus(plus(n0, plus(n0, n1)), plus(n0, n1)))) | (plus(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), n1) = fifo_length))) <=> ((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | gt(fifo_length, plus(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), n1)) | (~gt(fifo_length, minus(plus(n0, plus(n0, n1)), plus(n0, n1)))) | (plus(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), n1) = fifo_length))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(119,plain,
% 0.21/0.44 ((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | (gt(fifo_length, plus(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), n1)) | (~gt(fifo_length, minus(plus(n0, plus(n0, n1)), plus(n0, n1)))) | (plus(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), n1) = fifo_length))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(120,plain,
% 0.21/0.44 ((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | gt(fifo_length, plus(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), n1)) | (~gt(fifo_length, minus(plus(n0, plus(n0, n1)), plus(n0, n1)))) | (plus(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), n1) = fifo_length)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.21/0.44 tff(121,plain,
% 0.21/0.44 (gt(fifo_length, plus(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), n1)) | (~gt(fifo_length, minus(plus(n0, plus(n0, n1)), plus(n0, n1)))) | (plus(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), n1) = fifo_length)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[120, 117])).
% 0.21/0.44 tff(122,plain,
% 0.21/0.44 (plus(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), n1) = fifo_length),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[121, 107, 101])).
% 0.21/0.44 tff(123,plain,
% 0.21/0.44 (fifo_length = plus(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), n1)),
% 0.21/0.44 inference(symmetry,[status(thm)],[122])).
% 0.21/0.44 tff(124,plain,
% 0.21/0.44 (fifo_length = plus(n0, plus(n0, n1))),
% 0.21/0.44 inference(transitivity,[status(thm)],[123, 84, 81, 6])).
% 0.21/0.44 tff(125,plain,
% 0.21/0.44 (def_10(plus(n0, n1), fifo_length) <=> def_10(plus(n0, n1), plus(n0, plus(n0, n1)))),
% 0.21/0.44 inference(monotonicity,[status(thm)],[124])).
% 0.21/0.44 tff(126,plain,
% 0.21/0.44 (def_10(plus(n0, n1), plus(n0, plus(n0, n1))) <=> def_10(plus(n0, n1), fifo_length)),
% 0.21/0.44 inference(symmetry,[status(thm)],[125])).
% 0.21/0.44 tff(127,plain,
% 0.21/0.44 ((~def_10(plus(n0, n1), plus(n0, plus(n0, n1)))) <=> (~def_10(plus(n0, n1), fifo_length))),
% 0.21/0.44 inference(monotonicity,[status(thm)],[126])).
% 0.21/0.45 tff(128,plain,
% 0.21/0.45 (~def_10(plus(n0, n1), fifo_length)),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[24, 127])).
% 0.21/0.45 tff(129,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[89, 128])).
% 0.21/0.45 tff(130,plain,(~def_10(plus(n0, n1), fifo_length)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(131,plain,
% 0.21/0.45 (((~![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))) | (def_10(plus(n0, n1), fifo_length) | (plus(minus(fifo_length, plus(n0, n1)), plus(n0, n1)) = fifo_length))) <=> ((~![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))) | def_10(plus(n0, n1), fifo_length) | (plus(minus(fifo_length, plus(n0, n1)), plus(n0, n1)) = fifo_length))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(132,plain,
% 0.21/0.45 ((~![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))) | (def_10(plus(n0, n1), fifo_length) | (plus(minus(fifo_length, plus(n0, n1)), plus(n0, n1)) = fifo_length))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(133,plain,
% 0.21/0.45 ((~![Y_4: $i, X_3: $i] : (def_10(Y_4, X_3) | (plus(minus(X_3, Y_4), Y_4) = X_3))) | def_10(plus(n0, n1), fifo_length) | (plus(minus(fifo_length, plus(n0, n1)), plus(n0, n1)) = fifo_length)),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.21/0.45 tff(134,plain,
% 0.21/0.45 (def_10(plus(n0, n1), fifo_length) | (plus(minus(fifo_length, plus(n0, n1)), plus(n0, n1)) = fifo_length)),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[133, 76])).
% 0.21/0.45 tff(135,plain,
% 0.21/0.45 (plus(minus(fifo_length, plus(n0, n1)), plus(n0, n1)) = fifo_length),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[134, 130])).
% 0.21/0.45 tff(136,plain,
% 0.21/0.45 (minus(fifo_length, plus(n0, n1)) = minus(fifo_length, n1)),
% 0.21/0.45 inference(monotonicity,[status(thm)],[4])).
% 0.21/0.45 tff(137,plain,
% 0.21/0.45 (minus(fifo_length, n1) = minus(fifo_length, plus(n0, n1))),
% 0.21/0.45 inference(symmetry,[status(thm)],[136])).
% 0.21/0.45 tff(138,plain,
% 0.21/0.45 (plus(minus(fifo_length, n1), n1) = plus(minus(fifo_length, plus(n0, n1)), plus(n0, n1))),
% 0.21/0.45 inference(monotonicity,[status(thm)],[137, 3])).
% 0.21/0.45 tff(139,plain,
% 0.21/0.45 (plus(minus(fifo_length, n1), n1) = fifo_length),
% 0.21/0.45 inference(transitivity,[status(thm)],[138, 135])).
% 0.21/0.45 tff(140,plain,
% 0.21/0.45 (gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), plus(minus(fifo_length, n1), n1)) <=> gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), fifo_length)),
% 0.21/0.45 inference(monotonicity,[status(thm)],[139])).
% 0.21/0.45 tff(141,plain,
% 0.21/0.45 (gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), fifo_length) <=> gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), plus(minus(fifo_length, n1), n1))),
% 0.21/0.45 inference(symmetry,[status(thm)],[140])).
% 0.21/0.45 tff(142,plain,
% 0.21/0.45 ((~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), fifo_length)) <=> (~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), plus(minus(fifo_length, n1), n1)))),
% 0.21/0.45 inference(monotonicity,[status(thm)],[141])).
% 0.21/0.45 tff(143,assumption,(gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), fifo_length)), introduced(assumption)).
% 0.21/0.45 tff(144,assumption,(~gt(fifo_length, minus(plus(n0, plus(n0, n1)), plus(n0, n1)))), introduced(assumption)).
% 0.21/0.45 tff(145,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[144, 107])).
% 0.21/0.45 tff(146,plain,(gt(fifo_length, minus(plus(n0, plus(n0, n1)), plus(n0, n1)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(147,assumption,(gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(plus(n0, plus(n0, n1)), plus(n0, n1)))), introduced(assumption)).
% 0.21/0.45 tff(148,plain,
% 0.21/0.45 (^[X_28: $i] : refl((~gt(X_28, X_28)) <=> (~gt(X_28, X_28)))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(149,plain,
% 0.21/0.45 (![X_28: $i] : (~gt(X_28, X_28)) <=> ![X_28: $i] : (~gt(X_28, X_28))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[148])).
% 0.21/0.45 tff(150,plain,
% 0.21/0.45 (![X_28: $i] : (~gt(X_28, X_28)) <=> ![X_28: $i] : (~gt(X_28, X_28))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(151,axiom,(![X_28: $i] : (~gt(X_28, X_28))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_17')).
% 0.21/0.45 tff(152,plain,
% 0.21/0.45 (![X_28: $i] : (~gt(X_28, X_28))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[151, 150])).
% 0.21/0.45 tff(153,plain,(
% 0.21/0.45 ![X_28: $i] : (~gt(X_28, X_28))),
% 0.21/0.45 inference(skolemize,[status(sab)],[152])).
% 0.21/0.45 tff(154,plain,
% 0.21/0.45 (![X_28: $i] : (~gt(X_28, X_28))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[153, 149])).
% 0.21/0.45 tff(155,plain,
% 0.21/0.45 ((~![X_28: $i] : (~gt(X_28, X_28))) | (~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(plus(n0, plus(n0, n1)), plus(n0, n1))))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(156,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[155, 154, 147])).
% 0.21/0.45 tff(157,plain,(~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(plus(n0, plus(n0, n1)), plus(n0, n1)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(158,plain,
% 0.21/0.45 (![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20))) <=> ![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(159,plain,
% 0.21/0.45 (![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20))) <=> ![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(160,plain,
% 0.21/0.45 (^[Z_21: $i, Y_20: $i, X_19: $i] : rewrite((((~gt(Z_21, Y_20)) | gt(Z_21, X_19)) | (~gt(Y_20, X_19))) <=> ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(161,plain,
% 0.21/0.45 (![Z_21: $i, Y_20: $i, X_19: $i] : (((~gt(Z_21, Y_20)) | gt(Z_21, X_19)) | (~gt(Y_20, X_19))) <=> ![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[160])).
% 0.21/0.45 tff(162,axiom,(![Z_21: $i, Y_20: $i, X_19: $i] : (((~gt(Z_21, Y_20)) | gt(Z_21, X_19)) | (~gt(Y_20, X_19)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_13')).
% 0.21/0.45 tff(163,plain,
% 0.21/0.45 (![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[162, 161])).
% 0.21/0.45 tff(164,plain,
% 0.21/0.45 (![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[163, 159])).
% 0.21/0.45 tff(165,plain,(
% 0.21/0.45 ![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.21/0.45 inference(skolemize,[status(sab)],[164])).
% 0.21/0.45 tff(166,plain,
% 0.21/0.45 (![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[165, 158])).
% 0.21/0.45 tff(167,plain,
% 0.21/0.45 (((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | (gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(plus(n0, plus(n0, n1)), plus(n0, n1))) | (~gt(fifo_length, minus(plus(n0, plus(n0, n1)), plus(n0, n1)))) | (~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), fifo_length)))) <=> ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(plus(n0, plus(n0, n1)), plus(n0, n1))) | (~gt(fifo_length, minus(plus(n0, plus(n0, n1)), plus(n0, n1)))) | (~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), fifo_length)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(168,plain,
% 0.21/0.45 (((~gt(fifo_length, minus(plus(n0, plus(n0, n1)), plus(n0, n1)))) | gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(plus(n0, plus(n0, n1)), plus(n0, n1))) | (~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), fifo_length))) <=> (gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(plus(n0, plus(n0, n1)), plus(n0, n1))) | (~gt(fifo_length, minus(plus(n0, plus(n0, n1)), plus(n0, n1)))) | (~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), fifo_length)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(169,plain,
% 0.21/0.45 (((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(fifo_length, minus(plus(n0, plus(n0, n1)), plus(n0, n1)))) | gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(plus(n0, plus(n0, n1)), plus(n0, n1))) | (~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), fifo_length)))) <=> ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | (gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(plus(n0, plus(n0, n1)), plus(n0, n1))) | (~gt(fifo_length, minus(plus(n0, plus(n0, n1)), plus(n0, n1)))) | (~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), fifo_length))))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[168])).
% 0.21/0.46 tff(170,plain,
% 0.21/0.46 (((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(fifo_length, minus(plus(n0, plus(n0, n1)), plus(n0, n1)))) | gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(plus(n0, plus(n0, n1)), plus(n0, n1))) | (~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), fifo_length)))) <=> ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(plus(n0, plus(n0, n1)), plus(n0, n1))) | (~gt(fifo_length, minus(plus(n0, plus(n0, n1)), plus(n0, n1)))) | (~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), fifo_length)))),
% 0.21/0.46 inference(transitivity,[status(thm)],[169, 167])).
% 0.21/0.46 tff(171,plain,
% 0.21/0.46 ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(fifo_length, minus(plus(n0, plus(n0, n1)), plus(n0, n1)))) | gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(plus(n0, plus(n0, n1)), plus(n0, n1))) | (~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), fifo_length)))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(172,plain,
% 0.21/0.46 ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(plus(n0, plus(n0, n1)), plus(n0, n1))) | (~gt(fifo_length, minus(plus(n0, plus(n0, n1)), plus(n0, n1)))) | (~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), fifo_length))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[171, 170])).
% 0.21/0.46 tff(173,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[172, 166, 157, 146, 143])).
% 0.21/0.46 tff(174,plain,(~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), fifo_length)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(175,plain,
% 0.21/0.46 (~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), plus(minus(fifo_length, n1), n1))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[174, 142])).
% 0.21/0.46 tff(176,plain,
% 0.21/0.46 (((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | ((~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(fifo_length, n1))) | gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), plus(minus(fifo_length, n1), n1)) | (plus(minus(fifo_length, n1), n1) = minus(plus(n0, plus(n0, n1)), plus(n0, n1))))) <=> ((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | (~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(fifo_length, n1))) | gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), plus(minus(fifo_length, n1), n1)) | (plus(minus(fifo_length, n1), n1) = minus(plus(n0, plus(n0, n1)), plus(n0, n1))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(177,plain,
% 0.21/0.46 ((gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), plus(minus(fifo_length, n1), n1)) | (~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(fifo_length, n1))) | (plus(minus(fifo_length, n1), n1) = minus(plus(n0, plus(n0, n1)), plus(n0, n1)))) <=> ((~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(fifo_length, n1))) | gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), plus(minus(fifo_length, n1), n1)) | (plus(minus(fifo_length, n1), n1) = minus(plus(n0, plus(n0, n1)), plus(n0, n1))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(178,plain,
% 0.21/0.46 (((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | (gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), plus(minus(fifo_length, n1), n1)) | (~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(fifo_length, n1))) | (plus(minus(fifo_length, n1), n1) = minus(plus(n0, plus(n0, n1)), plus(n0, n1))))) <=> ((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | ((~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(fifo_length, n1))) | gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), plus(minus(fifo_length, n1), n1)) | (plus(minus(fifo_length, n1), n1) = minus(plus(n0, plus(n0, n1)), plus(n0, n1)))))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[177])).
% 0.21/0.46 tff(179,plain,
% 0.21/0.46 (((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | (gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), plus(minus(fifo_length, n1), n1)) | (~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(fifo_length, n1))) | (plus(minus(fifo_length, n1), n1) = minus(plus(n0, plus(n0, n1)), plus(n0, n1))))) <=> ((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | (~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(fifo_length, n1))) | gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), plus(minus(fifo_length, n1), n1)) | (plus(minus(fifo_length, n1), n1) = minus(plus(n0, plus(n0, n1)), plus(n0, n1))))),
% 0.21/0.46 inference(transitivity,[status(thm)],[178, 176])).
% 0.21/0.46 tff(180,plain,
% 0.21/0.46 ((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | (gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), plus(minus(fifo_length, n1), n1)) | (~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(fifo_length, n1))) | (plus(minus(fifo_length, n1), n1) = minus(plus(n0, plus(n0, n1)), plus(n0, n1))))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(181,plain,
% 0.21/0.46 ((~![Y_24: $i, X_23: $i] : (gt(Y_24, plus(X_23, n1)) | (~gt(Y_24, X_23)) | (plus(X_23, n1) = Y_24))) | (~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(fifo_length, n1))) | gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), plus(minus(fifo_length, n1), n1)) | (plus(minus(fifo_length, n1), n1) = minus(plus(n0, plus(n0, n1)), plus(n0, n1)))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[180, 179])).
% 0.21/0.46 tff(182,plain,
% 0.21/0.46 ((~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(fifo_length, n1))) | gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), plus(minus(fifo_length, n1), n1)) | (plus(minus(fifo_length, n1), n1) = minus(plus(n0, plus(n0, n1)), plus(n0, n1)))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[181, 117])).
% 0.21/0.46 tff(183,plain,
% 0.21/0.46 (~gt(minus(plus(n0, plus(n0, n1)), plus(n0, n1)), minus(fifo_length, n1))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[182, 175, 62])).
% 0.21/0.46 tff(184,plain,
% 0.21/0.46 (~gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[183, 49])).
% 0.21/0.46 tff(185,plain,
% 0.21/0.46 (gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1)) <=> gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(186,axiom,(gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_2')).
% 0.21/0.46 tff(187,plain,
% 0.21/0.46 (gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[186, 185])).
% 0.21/0.46 tff(188,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[187, 184])).
% 0.21/0.46 tff(189,plain,(~(rd_level(plus(t_139, n1)) = n0)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(190,plain,
% 0.21/0.46 (^[X_t_37: $i] : refl(((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0)) <=> ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0)))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(191,plain,
% 0.21/0.46 (![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0)) <=> ![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[190])).
% 0.21/0.46 tff(192,plain,
% 0.21/0.46 (![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0)) <=> ![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(193,axiom,(![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_28')).
% 0.21/0.46 tff(194,plain,
% 0.21/0.46 (![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[193, 192])).
% 0.21/0.46 tff(195,plain,(
% 0.21/0.46 ![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0))),
% 0.21/0.46 inference(skolemize,[status(sab)],[194])).
% 0.21/0.46 tff(196,plain,
% 0.21/0.46 (![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[195, 191])).
% 0.21/0.46 tff(197,plain,
% 0.21/0.46 (((~![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0))) | ((~p_Reset(t_139)) | (rd_level(plus(t_139, n1)) = n0))) <=> ((~![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0))) | (~p_Reset(t_139)) | (rd_level(plus(t_139, n1)) = n0))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(198,plain,
% 0.21/0.46 ((~![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0))) | ((~p_Reset(t_139)) | (rd_level(plus(t_139, n1)) = n0))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(199,plain,
% 0.21/0.46 ((~![X_t_37: $i] : ((~p_Reset(X_t_37)) | (rd_level(plus(X_t_37, n1)) = n0))) | (~p_Reset(t_139)) | (rd_level(plus(t_139, n1)) = n0)),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[198, 197])).
% 0.21/0.46 tff(200,plain,
% 0.21/0.46 ((~p_Reset(t_139)) | (rd_level(plus(t_139, n1)) = n0)),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[199, 196])).
% 0.21/0.46 tff(201,plain,
% 0.21/0.46 (~p_Reset(t_139)),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[200, 189])).
% 0.21/0.46 tff(202,assumption,(~(rd_level(plus(t_139, n1)) = rd_level(t_139))), introduced(assumption)).
% 0.21/0.46 tff(203,assumption,(~p_Reset(t_139)), introduced(assumption)).
% 0.21/0.46 tff(204,assumption,(~p_Rd(t_139)), introduced(assumption)).
% 0.21/0.46 tff(205,plain,
% 0.21/0.46 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42)) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42)))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(206,plain,
% 0.21/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[205])).
% 0.21/0.46 tff(207,plain,
% 0.21/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(208,plain,
% 0.21/0.46 (^[X_t_42: $i] : trans(monotonicity(rewrite(((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | p_Wr(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(209,plain,
% 0.21/0.46 (![X_t_42: $i] : (((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[208])).
% 0.21/0.46 tff(210,axiom,(![X_t_42: $i] : (((p_Reset(X_t_42) | p_Wr(X_t_42)) | p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_81')).
% 0.21/0.46 tff(211,plain,
% 0.21/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[210, 209])).
% 0.21/0.46 tff(212,plain,
% 0.21/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[211, 207])).
% 0.21/0.46 tff(213,plain,(
% 0.21/0.46 ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))),
% 0.21/0.46 inference(skolemize,[status(sab)],[212])).
% 0.21/0.46 tff(214,plain,
% 0.21/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[213, 206])).
% 0.21/0.46 tff(215,plain,
% 0.21/0.46 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))) | (p_Reset(t_139) | p_Wr(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))) | p_Reset(t_139) | p_Wr(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(216,plain,
% 0.21/0.46 ((p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Rd(t_139) | p_Wr(t_139)) <=> (p_Reset(t_139) | p_Wr(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(217,plain,
% 0.21/0.46 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Rd(t_139) | p_Wr(t_139))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))) | (p_Reset(t_139) | p_Wr(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139))))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[216])).
% 0.21/0.46 tff(218,plain,
% 0.21/0.46 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Rd(t_139) | p_Wr(t_139))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))) | p_Reset(t_139) | p_Wr(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)))),
% 0.21/0.46 inference(transitivity,[status(thm)],[217, 215])).
% 0.21/0.46 tff(219,plain,
% 0.21/0.46 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Rd(t_139) | p_Wr(t_139))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(220,plain,
% 0.21/0.46 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | p_Wr(X_t_42))) | p_Reset(t_139) | p_Wr(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[219, 218])).
% 0.21/0.46 tff(221,plain,
% 0.21/0.46 (p_Reset(t_139) | p_Wr(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[220, 214])).
% 0.21/0.46 tff(222,plain,
% 0.21/0.46 (p_Wr(t_139)),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[221, 202, 204, 203])).
% 0.21/0.46 tff(223,plain,
% 0.21/0.46 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(224,plain,
% 0.21/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[223])).
% 0.21/0.46 tff(225,plain,
% 0.21/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(226,plain,
% 0.21/0.46 (^[X_t_42: $i] : trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(227,plain,
% 0.21/0.46 (![X_t_42: $i] : (((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[226])).
% 0.21/0.46 tff(228,axiom,(![X_t_42: $i] : (((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_33')).
% 0.21/0.46 tff(229,plain,
% 0.21/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[228, 227])).
% 0.21/0.46 tff(230,plain,
% 0.21/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[229, 225])).
% 0.21/0.46 tff(231,plain,(
% 0.21/0.46 ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))),
% 0.21/0.46 inference(skolemize,[status(sab)],[230])).
% 0.21/0.46 tff(232,plain,
% 0.21/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[231, 224])).
% 0.21/0.46 tff(233,plain,
% 0.21/0.46 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | (p_Reset(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | p_Reset(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139)))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(234,plain,
% 0.21/0.46 ((p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Rd(t_139) | (~p_Wr(t_139))) <=> (p_Reset(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139)))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(235,plain,
% 0.21/0.46 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Rd(t_139) | (~p_Wr(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | (p_Reset(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139))))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[234])).
% 0.21/0.46 tff(236,plain,
% 0.21/0.46 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Rd(t_139) | (~p_Wr(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | p_Reset(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139)))),
% 0.21/0.46 inference(transitivity,[status(thm)],[235, 233])).
% 0.21/0.46 tff(237,plain,
% 0.21/0.46 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Rd(t_139) | (~p_Wr(t_139)))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(238,plain,
% 0.21/0.46 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))) | p_Reset(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[237, 236])).
% 0.21/0.47 tff(239,plain,
% 0.21/0.47 (p_Reset(t_139) | p_Rd(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[238, 232])).
% 0.21/0.47 tff(240,plain,
% 0.21/0.47 ($false),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[239, 222, 202, 204, 203])).
% 0.21/0.47 tff(241,plain,((rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Rd(t_139) | p_Reset(t_139)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.47 tff(242,plain,
% 0.21/0.47 (p_Rd(t_139)),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[241, 202, 201])).
% 0.21/0.47 tff(243,assumption,(~(minus(fifo_length, n1) = rd_level(t_139))), introduced(assumption)).
% 0.21/0.47 tff(244,assumption,(rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)), introduced(assumption)).
% 0.21/0.47 tff(245,plain,
% 0.21/0.47 (plus(rd_level(t_139), n1) = rd_level(plus(t_139, n1))),
% 0.21/0.47 inference(symmetry,[status(thm)],[244])).
% 0.21/0.47 tff(246,plain,
% 0.21/0.47 (gt(plus(rd_level(t_139), n1), minus(fifo_length, n1)) <=> gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1))),
% 0.21/0.47 inference(monotonicity,[status(thm)],[245])).
% 0.21/0.47 tff(247,plain,
% 0.21/0.47 (gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1)) <=> gt(plus(rd_level(t_139), n1), minus(fifo_length, n1))),
% 0.21/0.47 inference(symmetry,[status(thm)],[246])).
% 0.21/0.47 tff(248,plain,
% 0.21/0.47 (gt(plus(rd_level(t_139), n1), minus(fifo_length, n1))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[187, 247])).
% 0.21/0.47 tff(249,plain,
% 0.21/0.47 ((~gt(rd_level(t_139), minus(fifo_length, n1))) <=> (~gt(rd_level(t_139), minus(fifo_length, n1)))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(250,axiom,(~gt(rd_level(t_139), minus(fifo_length, n1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quest_1')).
% 0.21/0.47 tff(251,plain,
% 0.21/0.47 (~gt(rd_level(t_139), minus(fifo_length, n1))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[250, 249])).
% 0.21/0.47 tff(252,plain,
% 0.21/0.47 (^[X_13: $i, Y_14: $i] : refl(((Y_14 = X_13) | (~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14)) <=> ((Y_14 = X_13) | (~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14)))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(253,plain,
% 0.21/0.47 (![X_13: $i, Y_14: $i] : ((Y_14 = X_13) | (~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14)) <=> ![X_13: $i, Y_14: $i] : ((Y_14 = X_13) | (~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[252])).
% 0.21/0.47 tff(254,plain,
% 0.21/0.47 (![X_13: $i, Y_14: $i] : ((Y_14 = X_13) | (~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14)) <=> ![X_13: $i, Y_14: $i] : ((Y_14 = X_13) | (~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(255,plain,
% 0.21/0.47 (^[X_13: $i, Y_14: $i] : trans(monotonicity(rewrite((gt(X_13, Y_14) | (~gt(plus(X_13, n1), Y_14))) <=> ((~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14))), (((gt(X_13, Y_14) | (~gt(plus(X_13, n1), Y_14))) | (Y_14 = X_13)) <=> (((~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14)) | (Y_14 = X_13)))), rewrite((((~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14)) | (Y_14 = X_13)) <=> ((Y_14 = X_13) | (~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14))), (((gt(X_13, Y_14) | (~gt(plus(X_13, n1), Y_14))) | (Y_14 = X_13)) <=> ((Y_14 = X_13) | (~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(256,plain,
% 0.21/0.47 (![X_13: $i, Y_14: $i] : ((gt(X_13, Y_14) | (~gt(plus(X_13, n1), Y_14))) | (Y_14 = X_13)) <=> ![X_13: $i, Y_14: $i] : ((Y_14 = X_13) | (~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[255])).
% 0.21/0.47 tff(257,axiom,(![X_13: $i, Y_14: $i] : ((gt(X_13, Y_14) | (~gt(plus(X_13, n1), Y_14))) | (Y_14 = X_13))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_10')).
% 0.21/0.47 tff(258,plain,
% 0.21/0.47 (![X_13: $i, Y_14: $i] : ((Y_14 = X_13) | (~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[257, 256])).
% 0.21/0.47 tff(259,plain,
% 0.21/0.47 (![X_13: $i, Y_14: $i] : ((Y_14 = X_13) | (~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[258, 254])).
% 0.21/0.47 tff(260,plain,(
% 0.21/0.47 ![X_13: $i, Y_14: $i] : ((Y_14 = X_13) | (~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14))),
% 0.21/0.47 inference(skolemize,[status(sab)],[259])).
% 0.21/0.47 tff(261,plain,
% 0.21/0.47 (![X_13: $i, Y_14: $i] : ((Y_14 = X_13) | (~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[260, 253])).
% 0.21/0.47 tff(262,plain,
% 0.21/0.47 (((~![X_13: $i, Y_14: $i] : ((Y_14 = X_13) | (~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14))) | (gt(rd_level(t_139), minus(fifo_length, n1)) | (minus(fifo_length, n1) = rd_level(t_139)) | (~gt(plus(rd_level(t_139), n1), minus(fifo_length, n1))))) <=> ((~![X_13: $i, Y_14: $i] : ((Y_14 = X_13) | (~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14))) | gt(rd_level(t_139), minus(fifo_length, n1)) | (minus(fifo_length, n1) = rd_level(t_139)) | (~gt(plus(rd_level(t_139), n1), minus(fifo_length, n1))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(263,plain,
% 0.21/0.47 (((minus(fifo_length, n1) = rd_level(t_139)) | (~gt(plus(rd_level(t_139), n1), minus(fifo_length, n1))) | gt(rd_level(t_139), minus(fifo_length, n1))) <=> (gt(rd_level(t_139), minus(fifo_length, n1)) | (minus(fifo_length, n1) = rd_level(t_139)) | (~gt(plus(rd_level(t_139), n1), minus(fifo_length, n1))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(264,plain,
% 0.21/0.47 (((~![X_13: $i, Y_14: $i] : ((Y_14 = X_13) | (~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14))) | ((minus(fifo_length, n1) = rd_level(t_139)) | (~gt(plus(rd_level(t_139), n1), minus(fifo_length, n1))) | gt(rd_level(t_139), minus(fifo_length, n1)))) <=> ((~![X_13: $i, Y_14: $i] : ((Y_14 = X_13) | (~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14))) | (gt(rd_level(t_139), minus(fifo_length, n1)) | (minus(fifo_length, n1) = rd_level(t_139)) | (~gt(plus(rd_level(t_139), n1), minus(fifo_length, n1)))))),
% 0.21/0.47 inference(monotonicity,[status(thm)],[263])).
% 0.21/0.47 tff(265,plain,
% 0.21/0.47 (((~![X_13: $i, Y_14: $i] : ((Y_14 = X_13) | (~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14))) | ((minus(fifo_length, n1) = rd_level(t_139)) | (~gt(plus(rd_level(t_139), n1), minus(fifo_length, n1))) | gt(rd_level(t_139), minus(fifo_length, n1)))) <=> ((~![X_13: $i, Y_14: $i] : ((Y_14 = X_13) | (~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14))) | gt(rd_level(t_139), minus(fifo_length, n1)) | (minus(fifo_length, n1) = rd_level(t_139)) | (~gt(plus(rd_level(t_139), n1), minus(fifo_length, n1))))),
% 0.21/0.47 inference(transitivity,[status(thm)],[264, 262])).
% 0.21/0.47 tff(266,plain,
% 0.21/0.47 ((~![X_13: $i, Y_14: $i] : ((Y_14 = X_13) | (~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14))) | ((minus(fifo_length, n1) = rd_level(t_139)) | (~gt(plus(rd_level(t_139), n1), minus(fifo_length, n1))) | gt(rd_level(t_139), minus(fifo_length, n1)))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(267,plain,
% 0.21/0.47 ((~![X_13: $i, Y_14: $i] : ((Y_14 = X_13) | (~gt(plus(X_13, n1), Y_14)) | gt(X_13, Y_14))) | gt(rd_level(t_139), minus(fifo_length, n1)) | (minus(fifo_length, n1) = rd_level(t_139)) | (~gt(plus(rd_level(t_139), n1), minus(fifo_length, n1)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[266, 265])).
% 0.21/0.47 tff(268,plain,
% 0.21/0.47 (~gt(plus(rd_level(t_139), n1), minus(fifo_length, n1))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[267, 261, 251, 243])).
% 0.21/0.47 tff(269,plain,
% 0.21/0.47 ($false),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[268, 248])).
% 0.21/0.47 tff(270,plain,((~(rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1))) | (minus(fifo_length, n1) = rd_level(t_139))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.47 tff(271,plain,
% 0.21/0.47 (~(rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[270, 243])).
% 0.21/0.47 tff(272,plain,
% 0.21/0.47 (^[Y_18: $i, X_17: $i] : refl((gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17)) <=> (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17)))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(273,plain,
% 0.21/0.47 (![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17)) <=> ![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[272])).
% 0.21/0.47 tff(274,plain,
% 0.21/0.47 (![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17)) <=> ![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(275,plain,
% 0.21/0.47 (^[Y_18: $i, X_17: $i] : trans(monotonicity(rewrite((gt(Y_18, X_17) | (X_17 = Y_18)) <=> ((X_17 = Y_18) | gt(Y_18, X_17))), (((gt(Y_18, X_17) | (X_17 = Y_18)) | gt(X_17, Y_18)) <=> (((X_17 = Y_18) | gt(Y_18, X_17)) | gt(X_17, Y_18)))), rewrite((((X_17 = Y_18) | gt(Y_18, X_17)) | gt(X_17, Y_18)) <=> (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))), (((gt(Y_18, X_17) | (X_17 = Y_18)) | gt(X_17, Y_18)) <=> (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(276,plain,
% 0.21/0.47 (![Y_18: $i, X_17: $i] : ((gt(Y_18, X_17) | (X_17 = Y_18)) | gt(X_17, Y_18)) <=> ![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[275])).
% 0.21/0.47 tff(277,axiom,(![Y_18: $i, X_17: $i] : ((gt(Y_18, X_17) | (X_17 = Y_18)) | gt(X_17, Y_18))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_12')).
% 0.21/0.47 tff(278,plain,
% 0.21/0.47 (![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[277, 276])).
% 0.21/0.47 tff(279,plain,
% 0.21/0.47 (![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[278, 274])).
% 0.21/0.47 tff(280,plain,(
% 0.21/0.47 ![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.21/0.47 inference(skolemize,[status(sab)],[279])).
% 0.21/0.47 tff(281,plain,
% 0.21/0.47 (![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[280, 273])).
% 0.21/0.47 tff(282,plain,
% 0.21/0.47 (((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | (gt(rd_level(t_139), minus(fifo_length, n1)) | gt(minus(fifo_length, n1), rd_level(t_139)) | (minus(fifo_length, n1) = rd_level(t_139)))) <=> ((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | gt(rd_level(t_139), minus(fifo_length, n1)) | gt(minus(fifo_length, n1), rd_level(t_139)) | (minus(fifo_length, n1) = rd_level(t_139)))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(283,plain,
% 0.21/0.47 ((gt(minus(fifo_length, n1), rd_level(t_139)) | (minus(fifo_length, n1) = rd_level(t_139)) | gt(rd_level(t_139), minus(fifo_length, n1))) <=> (gt(rd_level(t_139), minus(fifo_length, n1)) | gt(minus(fifo_length, n1), rd_level(t_139)) | (minus(fifo_length, n1) = rd_level(t_139)))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(284,plain,
% 0.21/0.47 (((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | (gt(minus(fifo_length, n1), rd_level(t_139)) | (minus(fifo_length, n1) = rd_level(t_139)) | gt(rd_level(t_139), minus(fifo_length, n1)))) <=> ((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | (gt(rd_level(t_139), minus(fifo_length, n1)) | gt(minus(fifo_length, n1), rd_level(t_139)) | (minus(fifo_length, n1) = rd_level(t_139))))),
% 0.21/0.47 inference(monotonicity,[status(thm)],[283])).
% 0.21/0.47 tff(285,plain,
% 0.21/0.47 (((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | (gt(minus(fifo_length, n1), rd_level(t_139)) | (minus(fifo_length, n1) = rd_level(t_139)) | gt(rd_level(t_139), minus(fifo_length, n1)))) <=> ((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | gt(rd_level(t_139), minus(fifo_length, n1)) | gt(minus(fifo_length, n1), rd_level(t_139)) | (minus(fifo_length, n1) = rd_level(t_139)))),
% 0.21/0.47 inference(transitivity,[status(thm)],[284, 282])).
% 0.21/0.47 tff(286,plain,
% 0.21/0.47 ((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | (gt(minus(fifo_length, n1), rd_level(t_139)) | (minus(fifo_length, n1) = rd_level(t_139)) | gt(rd_level(t_139), minus(fifo_length, n1)))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(287,plain,
% 0.21/0.47 ((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | gt(rd_level(t_139), minus(fifo_length, n1)) | gt(minus(fifo_length, n1), rd_level(t_139)) | (minus(fifo_length, n1) = rd_level(t_139))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[286, 285])).
% 0.21/0.47 tff(288,plain,
% 0.21/0.47 (gt(minus(fifo_length, n1), rd_level(t_139)) | (minus(fifo_length, n1) = rd_level(t_139))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[287, 281, 251])).
% 0.21/0.47 tff(289,plain,
% 0.21/0.47 (gt(minus(fifo_length, n1), rd_level(t_139))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[288, 243])).
% 0.21/0.47 tff(290,assumption,(~(rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1))), introduced(assumption)).
% 0.21/0.47 tff(291,assumption,(gt(minus(fifo_length, n1), rd_level(t_139))), introduced(assumption)).
% 0.21/0.47 tff(292,assumption,(~p_Wr(t_139)), introduced(assumption)).
% 0.21/0.47 tff(293,plain,
% 0.21/0.47 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0)) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0)))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(294,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[293])).
% 0.21/0.47 tff(295,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(296,plain,
% 0.21/0.47 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0)))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(297,plain,
% 0.21/0.47 (![X_t_42: $i] : ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[296])).
% 0.21/0.47 tff(298,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_77')).
% 0.21/0.47 tff(299,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[298, 297])).
% 0.21/0.47 tff(300,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[299, 295])).
% 0.21/0.47 tff(301,plain,(
% 0.21/0.47 ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))),
% 0.21/0.47 inference(skolemize,[status(sab)],[300])).
% 0.21/0.47 tff(302,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[301, 294])).
% 0.21/0.47 tff(303,plain,
% 0.21/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | p_Wr(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))) | p_Reset(t_139) | p_Wr(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(304,plain,
% 0.21/0.47 ((p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Wr(t_139) | gt(int_level(t_139), n0)) <=> (p_Reset(t_139) | p_Wr(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(305,plain,
% 0.21/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Wr(t_139) | gt(int_level(t_139), n0))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | p_Wr(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0)))),
% 0.21/0.47 inference(monotonicity,[status(thm)],[304])).
% 0.21/0.47 tff(306,plain,
% 0.21/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Wr(t_139) | gt(int_level(t_139), n0))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))) | p_Reset(t_139) | p_Wr(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0))),
% 0.21/0.47 inference(transitivity,[status(thm)],[305, 303])).
% 0.21/0.47 tff(307,plain,
% 0.21/0.47 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | p_Wr(t_139) | gt(int_level(t_139), n0))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(308,plain,
% 0.21/0.47 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | p_Wr(X_t_42) | gt(int_level(X_t_42), n0))) | p_Reset(t_139) | p_Wr(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0)),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[307, 306])).
% 0.21/0.47 tff(309,plain,
% 0.21/0.47 (p_Reset(t_139) | p_Wr(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0)),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[308, 302])).
% 0.21/0.47 tff(310,plain,
% 0.21/0.47 (gt(int_level(t_139), n0)),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[309, 292, 201, 202, 242])).
% 0.21/0.47 tff(311,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(312,plain,
% 0.21/0.47 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(313,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[312])).
% 0.21/0.47 tff(314,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(315,plain,
% 0.21/0.47 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))))), ((((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))), ((((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(316,plain,
% 0.21/0.47 (![X_t_42: $i] : (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[315])).
% 0.21/0.47 tff(317,axiom,(![X_t_42: $i] : (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_74')).
% 0.21/0.47 tff(318,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[317, 316])).
% 0.21/0.47 tff(319,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[318, 314])).
% 0.21/0.47 tff(320,plain,(
% 0.21/0.47 ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.21/0.47 inference(skolemize,[status(sab)],[319])).
% 0.21/0.47 tff(321,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[320, 313])).
% 0.21/0.47 tff(322,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[321, 311])).
% 0.21/0.47 tff(323,plain,
% 0.21/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | (p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(324,plain,
% 0.21/0.47 ((p_Reset(t_139) | (~p_Rd(t_139)) | p_Wr(t_139) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139)))) <=> (p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(325,plain,
% 0.21/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | (p_Reset(t_139) | (~p_Rd(t_139)) | p_Wr(t_139) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | (p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139)))))),
% 0.21/0.48 inference(monotonicity,[status(thm)],[324])).
% 0.21/0.48 tff(326,plain,
% 0.21/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | (p_Reset(t_139) | (~p_Rd(t_139)) | p_Wr(t_139) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))),
% 0.21/0.48 inference(transitivity,[status(thm)],[325, 323])).
% 0.21/0.48 tff(327,plain,
% 0.21/0.48 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | (p_Reset(t_139) | (~p_Rd(t_139)) | p_Wr(t_139) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))),
% 0.21/0.48 inference(quant_inst,[status(thm)],[])).
% 0.21/0.48 tff(328,plain,
% 0.21/0.48 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139)))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[327, 326])).
% 0.21/0.48 tff(329,plain,
% 0.21/0.48 (p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139)))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[328, 322])).
% 0.21/0.48 tff(330,plain,
% 0.21/0.48 ($false),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[329, 310, 292, 201, 242, 291, 290])).
% 0.21/0.48 tff(331,plain,(p_Wr(t_139) | (~gt(minus(fifo_length, n1), rd_level(t_139))) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (rd_level(plus(t_139, n1)) = rd_level(t_139))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.48 tff(332,plain,
% 0.21/0.48 (p_Wr(t_139)),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[331, 289, 271, 202])).
% 0.21/0.48 tff(333,plain,
% 0.21/0.48 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(334,plain,
% 0.21/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[333])).
% 0.21/0.48 tff(335,plain,
% 0.21/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(336,plain,
% 0.21/0.48 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | gt(int_level(X_t_42), n0)))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | gt(int_level(X_t_42), n0)) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(337,plain,
% 0.21/0.48 (![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[336])).
% 0.21/0.48 tff(338,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_60')).
% 0.21/0.48 tff(339,plain,
% 0.21/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[338, 337])).
% 0.21/0.48 tff(340,plain,
% 0.21/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[339, 335])).
% 0.21/0.48 tff(341,plain,(
% 0.21/0.48 ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))),
% 0.21/0.48 inference(skolemize,[status(sab)],[340])).
% 0.21/0.48 tff(342,plain,
% 0.21/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[341, 334])).
% 0.21/0.48 tff(343,plain,
% 0.21/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0) | (~p_Wr(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))) | p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0) | (~p_Wr(t_139)))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(344,plain,
% 0.21/0.48 ((p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139)) | gt(int_level(t_139), n0)) <=> (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0) | (~p_Wr(t_139)))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(345,plain,
% 0.21/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139)) | gt(int_level(t_139), n0))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0) | (~p_Wr(t_139))))),
% 0.21/0.48 inference(monotonicity,[status(thm)],[344])).
% 0.21/0.48 tff(346,plain,
% 0.21/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139)) | gt(int_level(t_139), n0))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))) | p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0) | (~p_Wr(t_139)))),
% 0.21/0.48 inference(transitivity,[status(thm)],[345, 343])).
% 0.21/0.48 tff(347,plain,
% 0.21/0.48 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Wr(t_139)) | gt(int_level(t_139), n0))),
% 0.21/0.48 inference(quant_inst,[status(thm)],[])).
% 0.21/0.48 tff(348,plain,
% 0.21/0.48 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (rd_level(plus(X_t_42, n1)) = rd_level(X_t_42)) | (~p_Wr(X_t_42)) | gt(int_level(X_t_42), n0))) | p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0) | (~p_Wr(t_139))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[347, 346])).
% 0.21/0.48 tff(349,plain,
% 0.21/0.48 (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = rd_level(t_139)) | (~p_Rd(t_139)) | gt(int_level(t_139), n0) | (~p_Wr(t_139))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[348, 342])).
% 0.21/0.48 tff(350,plain,
% 0.21/0.48 (gt(int_level(t_139), n0)),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[349, 332, 201, 202, 242])).
% 0.21/0.48 tff(351,plain,
% 0.21/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(352,plain,
% 0.21/0.48 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(353,plain,
% 0.21/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[352])).
% 0.21/0.48 tff(354,plain,
% 0.21/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(355,plain,
% 0.21/0.48 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | (~gt(int_level(X_t_42), n0))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))))), ((((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))), ((((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(356,plain,
% 0.21/0.48 (![X_t_42: $i] : (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[355])).
% 0.21/0.48 tff(357,axiom,(![X_t_42: $i] : (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | (~gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_56')).
% 0.21/0.48 tff(358,plain,
% 0.21/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[357, 356])).
% 0.21/0.48 tff(359,plain,
% 0.21/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[358, 354])).
% 0.21/0.48 tff(360,plain,(
% 0.21/0.48 ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.21/0.48 inference(skolemize,[status(sab)],[359])).
% 0.21/0.48 tff(361,plain,
% 0.21/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[360, 353])).
% 0.21/0.48 tff(362,plain,
% 0.21/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[361, 351])).
% 0.21/0.48 tff(363,plain,
% 0.21/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))) | (~p_Wr(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | p_Reset(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))) | (~p_Wr(t_139)))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(364,plain,
% 0.21/0.48 ((p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139)))) <=> (p_Reset(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))) | (~p_Wr(t_139)))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(365,plain,
% 0.21/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))) | (~p_Wr(t_139))))),
% 0.21/0.48 inference(monotonicity,[status(thm)],[364])).
% 0.21/0.48 tff(366,plain,
% 0.21/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | p_Reset(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))) | (~p_Wr(t_139)))),
% 0.21/0.48 inference(transitivity,[status(thm)],[365, 363])).
% 0.21/0.48 tff(367,plain,
% 0.21/0.48 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))))),
% 0.21/0.48 inference(quant_inst,[status(thm)],[])).
% 0.21/0.48 tff(368,plain,
% 0.21/0.48 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | (rd_level(plus(X_t_42, n1)) = plus(rd_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), rd_level(X_t_42))))) | p_Reset(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))) | (~p_Wr(t_139))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[367, 366])).
% 0.21/0.48 tff(369,plain,
% 0.21/0.48 (p_Reset(t_139) | (~p_Rd(t_139)) | (~gt(int_level(t_139), n0)) | (rd_level(plus(t_139, n1)) = plus(rd_level(t_139), n1)) | (~gt(minus(fifo_length, n1), rd_level(t_139))) | (~p_Wr(t_139))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[368, 362])).
% 0.21/0.48 tff(370,plain,
% 0.21/0.48 ($false),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[369, 350, 332, 201, 242, 289, 271])).
% 0.21/0.48 tff(371,plain,((minus(fifo_length, n1) = rd_level(t_139)) | (rd_level(plus(t_139, n1)) = rd_level(t_139))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.48 tff(372,plain,
% 0.21/0.48 (minus(fifo_length, n1) = rd_level(t_139)),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[371, 202])).
% 0.21/0.48 tff(373,plain,
% 0.21/0.48 (rd_level(t_139) = minus(fifo_length, n1)),
% 0.21/0.48 inference(symmetry,[status(thm)],[372])).
% 0.21/0.48 tff(374,plain,
% 0.21/0.48 (gt(minus(fifo_length, n1), rd_level(t_139)) <=> gt(minus(fifo_length, n1), minus(fifo_length, n1))),
% 0.21/0.48 inference(monotonicity,[status(thm)],[373])).
% 0.21/0.48 tff(375,plain,
% 0.21/0.48 (gt(minus(fifo_length, n1), minus(fifo_length, n1)) <=> gt(minus(fifo_length, n1), rd_level(t_139))),
% 0.21/0.48 inference(symmetry,[status(thm)],[374])).
% 0.21/0.48 tff(376,plain,
% 0.21/0.48 ((~gt(minus(fifo_length, n1), minus(fifo_length, n1))) <=> (~gt(minus(fifo_length, n1), rd_level(t_139)))),
% 0.21/0.48 inference(monotonicity,[status(thm)],[375])).
% 0.21/0.48 tff(377,plain,
% 0.21/0.48 (gt(rd_level(t_139), minus(fifo_length, n1)) <=> gt(minus(fifo_length, n1), minus(fifo_length, n1))),
% 0.21/0.48 inference(monotonicity,[status(thm)],[373])).
% 0.21/0.48 tff(378,plain,
% 0.21/0.48 ((~gt(rd_level(t_139), minus(fifo_length, n1))) <=> (~gt(minus(fifo_length, n1), minus(fifo_length, n1)))),
% 0.21/0.48 inference(monotonicity,[status(thm)],[377])).
% 0.21/0.48 tff(379,plain,
% 0.21/0.48 (~gt(minus(fifo_length, n1), minus(fifo_length, n1))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[251, 378])).
% 0.21/0.48 tff(380,plain,
% 0.21/0.48 (~gt(minus(fifo_length, n1), rd_level(t_139))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[379, 376])).
% 0.21/0.48 tff(381,assumption,(~gt(minus(fifo_length, n1), rd_level(t_139))), introduced(assumption)).
% 0.21/0.48 tff(382,assumption,(~(rd_level(plus(t_139, n1)) = n0)), introduced(assumption)).
% 0.21/0.48 tff(383,plain,
% 0.21/0.48 (~p_Reset(t_139)),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[200, 382])).
% 0.21/0.48 tff(384,plain,
% 0.21/0.48 (p_Rd(t_139)),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[241, 383, 202])).
% 0.21/0.48 tff(385,plain,
% 0.21/0.48 (gt(int_level(t_139), n0)),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[309, 292, 383, 202, 384])).
% 0.21/0.48 tff(386,plain,
% 0.21/0.48 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(387,plain,
% 0.21/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[386])).
% 0.21/0.49 tff(388,plain,
% 0.21/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(389,plain,
% 0.21/0.49 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)))), ((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))), (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))))), ((((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0)) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0)))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0)) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))), ((((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0)) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(390,plain,
% 0.21/0.49 (![X_t_42: $i] : (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[389])).
% 0.21/0.49 tff(391,axiom,(![X_t_42: $i] : (((((p_Reset(X_t_42) | p_Wr(X_t_42)) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_75')).
% 0.21/0.49 tff(392,plain,
% 0.21/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[391, 390])).
% 0.21/0.49 tff(393,plain,
% 0.21/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[392, 388])).
% 0.21/0.49 tff(394,plain,(
% 0.21/0.49 ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.21/0.49 inference(skolemize,[status(sab)],[393])).
% 0.21/0.49 tff(395,plain,
% 0.21/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[394, 387])).
% 0.21/0.49 tff(396,plain,
% 0.21/0.49 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(397,plain,
% 0.21/0.49 ((p_Reset(t_139) | (rd_level(plus(t_139, n1)) = n0) | (~p_Rd(t_139)) | p_Wr(t_139) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139))) <=> (p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(398,plain,
% 0.21/0.49 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = n0) | (~p_Rd(t_139)) | p_Wr(t_139) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139))))),
% 0.21/0.49 inference(monotonicity,[status(thm)],[397])).
% 0.21/0.49 tff(399,plain,
% 0.21/0.49 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = n0) | (~p_Rd(t_139)) | p_Wr(t_139) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)))),
% 0.21/0.49 inference(transitivity,[status(thm)],[398, 396])).
% 0.21/0.49 tff(400,plain,
% 0.21/0.49 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = n0) | (~p_Rd(t_139)) | p_Wr(t_139) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)))),
% 0.21/0.49 inference(quant_inst,[status(thm)],[])).
% 0.21/0.49 tff(401,plain,
% 0.21/0.49 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | p_Wr(X_t_42) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[400, 399])).
% 0.21/0.49 tff(402,plain,
% 0.21/0.49 (p_Reset(t_139) | p_Wr(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139))),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[401, 395])).
% 0.21/0.49 tff(403,plain,
% 0.21/0.49 ($false),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[402, 385, 292, 383, 384, 382, 381])).
% 0.21/0.49 tff(404,plain,(p_Wr(t_139) | (rd_level(plus(t_139, n1)) = n0) | gt(minus(fifo_length, n1), rd_level(t_139)) | (rd_level(plus(t_139, n1)) = rd_level(t_139))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.49 tff(405,plain,
% 0.21/0.49 (p_Wr(t_139)),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[404, 380, 189, 202])).
% 0.21/0.49 tff(406,plain,
% 0.21/0.49 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(407,plain,
% 0.21/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[406])).
% 0.21/0.49 tff(408,plain,
% 0.21/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(409,plain,
% 0.21/0.49 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | (~gt(int_level(X_t_42), n0))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))))), ((((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0)) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0)))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0)) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))), ((((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0)) <=> (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(410,plain,
% 0.21/0.49 (![X_t_42: $i] : (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[409])).
% 0.21/0.49 tff(411,axiom,(![X_t_42: $i] : (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(int_level(X_t_42), n0))) | gt(minus(fifo_length, n1), rd_level(X_t_42))) | (rd_level(plus(X_t_42, n1)) = n0))), file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax','axiom_57')).
% 0.21/0.49 tff(412,plain,
% 0.21/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[411, 410])).
% 0.21/0.49 tff(413,plain,
% 0.21/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[412, 408])).
% 0.21/0.49 tff(414,plain,(
% 0.21/0.49 ![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.21/0.49 inference(skolemize,[status(sab)],[413])).
% 0.21/0.49 tff(415,plain,
% 0.21/0.49 (![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[414, 407])).
% 0.21/0.49 tff(416,plain,
% 0.21/0.49 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)) | (~p_Wr(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)) | (~p_Wr(t_139)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(417,plain,
% 0.21/0.49 ((p_Reset(t_139) | (rd_level(plus(t_139, n1)) = n0) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139))) <=> (p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)) | (~p_Wr(t_139)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(418,plain,
% 0.21/0.49 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = n0) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)) | (~p_Wr(t_139))))),
% 0.21/0.50 inference(monotonicity,[status(thm)],[417])).
% 0.21/0.50 tff(419,plain,
% 0.21/0.50 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = n0) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)) | (~p_Wr(t_139)))),
% 0.21/0.50 inference(transitivity,[status(thm)],[418, 416])).
% 0.21/0.50 tff(420,plain,
% 0.21/0.50 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | (p_Reset(t_139) | (rd_level(plus(t_139, n1)) = n0) | (~p_Rd(t_139)) | (~p_Wr(t_139)) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)))),
% 0.21/0.50 inference(quant_inst,[status(thm)],[])).
% 0.21/0.50 tff(421,plain,
% 0.21/0.50 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (rd_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(int_level(X_t_42), n0)) | gt(minus(fifo_length, n1), rd_level(X_t_42)))) | p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)) | (~p_Wr(t_139))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[420, 419])).
% 0.21/0.50 tff(422,plain,
% 0.21/0.50 (p_Reset(t_139) | (~p_Rd(t_139)) | (rd_level(plus(t_139, n1)) = n0) | (~gt(int_level(t_139), n0)) | gt(minus(fifo_length, n1), rd_level(t_139)) | (~p_Wr(t_139))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[421, 415])).
% 0.21/0.50 tff(423,plain,
% 0.21/0.50 (~gt(int_level(t_139), n0)),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[422, 380, 201, 242, 189, 405])).
% 0.21/0.50 tff(424,plain,
% 0.21/0.50 ($false),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[349, 423, 405, 201, 202, 242])).
% 0.21/0.50 tff(425,plain,(rd_level(plus(t_139, n1)) = rd_level(t_139)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.50 tff(426,plain,
% 0.21/0.50 (rd_level(t_139) = rd_level(plus(t_139, n1))),
% 0.21/0.50 inference(symmetry,[status(thm)],[425])).
% 0.21/0.50 tff(427,plain,
% 0.21/0.50 (gt(rd_level(t_139), minus(fifo_length, n1)) <=> gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1))),
% 0.21/0.50 inference(monotonicity,[status(thm)],[426])).
% 0.21/0.50 tff(428,plain,
% 0.21/0.50 (gt(rd_level(plus(t_139, n1)), minus(fifo_length, n1)) <=> gt(rd_level(t_139), minus(fifo_length, n1))),
% 0.21/0.50 inference(symmetry,[status(thm)],[427])).
% 0.21/0.50 tff(429,plain,
% 0.21/0.50 (gt(rd_level(t_139), minus(fifo_length, n1))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[187, 428])).
% 0.21/0.50 tff(430,plain,
% 0.21/0.50 ($false),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[251, 429])).
% 0.21/0.50 % SZS output end Proof
% 0.21/0.50 % E exiting
%------------------------------------------------------------------------------