%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN758-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n009.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 05:39:59 AM UTC 2025
% Result : Unsatisfiable 1.52s 1.70s
% Output : Proof 1.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN758-1 : TPTP v9.0.0. Released v2.5.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 12:43:03 EDT 2025
% 0.11/0.33 % CPUTime :
% 1.52/1.70 % SZS status Unsatisfiable
% 1.52/1.70 % SZS output start Proof
% 1.52/1.70 tff(ssPv2_type, type, (
% 1.52/1.70 ssPv2: $i > $o)).
% 1.52/1.70 tff(skf1_type, type, (
% 1.52/1.70 skf1: $i > $i)).
% 1.52/1.70 tff(elem_0_type, type, (
% 1.52/1.70 elem_0: $i)).
% 1.52/1.70 tff(ssPv4_type, type, (
% 1.52/1.70 ssPv4: $i > $o)).
% 1.52/1.70 tff(ssPv1_type, type, (
% 1.52/1.70 ssPv1: $i > $o)).
% 1.52/1.70 tff(ssPv3_type, type, (
% 1.52/1.70 ssPv3: $i > $o)).
% 1.52/1.70 tff(ssRr_type, type, (
% 1.52/1.70 ssRr: ( $i * $i ) > $o)).
% 1.52/1.70 tff(1,assumption,(~ssPv2(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.52/1.70 tff(2,assumption,(~ssPv3(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.52/1.70 tff(3,assumption,(~ssPv1(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.52/1.70 tff(4,assumption,(~ssPv2(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.52/1.70 tff(5,assumption,(~ssPv3(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.52/1.70 tff(6,assumption,(~ssPv1(skf1(elem!0))), introduced(assumption)).
% 1.52/1.70 tff(7,assumption,(~ssPv4(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.52/1.70 tff(8,plain,
% 1.52/1.70 (^[U: $i] : refl(ssRr(U, skf1(U)) <=> ssRr(U, skf1(U)))),
% 1.52/1.70 inference(bind,[status(th)],[])).
% 1.52/1.70 tff(9,plain,
% 1.52/1.70 (![U: $i] : ssRr(U, skf1(U)) <=> ![U: $i] : ssRr(U, skf1(U))),
% 1.52/1.70 inference(quant_intro,[status(thm)],[8])).
% 1.52/1.70 tff(10,plain,
% 1.52/1.70 (![U: $i] : ssRr(U, skf1(U)) <=> ![U: $i] : ssRr(U, skf1(U))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(11,axiom,(![U: $i] : ssRr(U, skf1(U))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause1')).
% 1.52/1.70 tff(12,plain,
% 1.52/1.70 (![U: $i] : ssRr(U, skf1(U))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[11, 10])).
% 1.52/1.70 tff(13,plain,(
% 1.52/1.70 ![U: $i] : ssRr(U, skf1(U))),
% 1.52/1.70 inference(skolemize,[status(sab)],[12])).
% 1.52/1.70 tff(14,plain,
% 1.52/1.70 (![U: $i] : ssRr(U, skf1(U))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[13, 9])).
% 1.52/1.70 tff(15,plain,
% 1.52/1.70 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(16,plain,
% 1.52/1.70 (ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[15, 14])).
% 1.52/1.70 tff(17,plain,
% 1.52/1.70 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(elem!0), skf1(skf1(elem!0)))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(18,plain,
% 1.52/1.70 (ssRr(skf1(elem!0), skf1(skf1(elem!0)))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[17, 14])).
% 1.52/1.70 tff(19,plain,
% 1.52/1.70 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.52/1.70 inference(bind,[status(th)],[])).
% 1.52/1.70 tff(20,plain,
% 1.52/1.70 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.70 inference(quant_intro,[status(thm)],[19])).
% 1.52/1.70 tff(21,plain,
% 1.52/1.70 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(22,plain,
% 1.52/1.70 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssPv3(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv2(Y)) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Y)))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Y)) <=> (ssPv2(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv2(Y)) <=> (ssPv2(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv2(Y)) | ssPv3(Z)) <=> ((ssPv2(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(Z)))), rewrite(((ssPv2(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(Z)) <=> (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv2(Y)) | ssPv3(Z)) <=> (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv2(Y)) | ssPv3(Z)) | ssPv1(W)) <=> ((ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)))), rewrite(((ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)) <=> (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv2(Y)) | ssPv3(Z)) | ssPv1(W)) <=> (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.52/1.70 inference(bind,[status(th)],[])).
% 1.52/1.70 tff(23,plain,
% 1.52/1.70 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv2(Y)) | ssPv3(Z)) | ssPv1(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.70 inference(quant_intro,[status(thm)],[22])).
% 1.52/1.70 tff(24,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv2(Y)) | ssPv3(Z)) | ssPv1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause40')).
% 1.52/1.70 tff(25,plain,
% 1.52/1.70 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[24, 23])).
% 1.52/1.70 tff(26,plain,
% 1.52/1.70 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[25, 21])).
% 1.52/1.70 tff(27,plain,(
% 1.52/1.70 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.70 inference(skolemize,[status(sab)],[26])).
% 1.52/1.70 tff(28,plain,
% 1.52/1.70 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[27, 20])).
% 1.52/1.70 tff(29,plain,
% 1.52/1.70 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(30,plain,
% 1.52/1.70 ((ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(31,plain,
% 1.52/1.70 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.70 inference(monotonicity,[status(thm)],[30])).
% 1.52/1.70 tff(32,plain,
% 1.52/1.70 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.70 inference(transitivity,[status(thm)],[31, 29])).
% 1.52/1.70 tff(33,plain,
% 1.52/1.70 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(34,plain,
% 1.52/1.70 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[33, 32])).
% 1.52/1.70 tff(35,plain,
% 1.52/1.70 (ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[34, 28, 18, 16])).
% 1.52/1.70 tff(36,plain,
% 1.52/1.70 (~ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[35, 1, 5, 6])).
% 1.52/1.70 tff(37,plain,
% 1.52/1.70 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.52/1.70 inference(bind,[status(th)],[])).
% 1.52/1.70 tff(38,plain,
% 1.52/1.70 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.70 inference(quant_intro,[status(thm)],[37])).
% 1.52/1.70 tff(39,plain,
% 1.52/1.70 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(40,plain,
% 1.52/1.70 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv3(V)) <=> (((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(V)))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(V)) <=> ((~ssRr(X, Y)) | ssPv3(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv3(V)) <=> ((~ssRr(X, Y)) | ssPv3(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv3(V)) | ssPv2(Y)) <=> (((~ssRr(X, Y)) | ssPv3(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Y)))), rewrite((((~ssRr(X, Y)) | ssPv3(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Y)) <=> (ssPv2(Y) | (~ssRr(X, Y)) | ssPv3(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv3(V)) | ssPv2(Y)) <=> (ssPv2(Y) | (~ssRr(X, Y)) | ssPv3(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv3(V)) | ssPv2(Y)) | ssPv3(Z)) <=> ((ssPv2(Y) | (~ssRr(X, Y)) | ssPv3(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(Z)))), rewrite(((ssPv2(Y) | (~ssRr(X, Y)) | ssPv3(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(Z)) <=> (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv3(V)) | ssPv2(Y)) | ssPv3(Z)) <=> (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv3(V)) | ssPv2(Y)) | ssPv3(Z)) | ssPv1(W)) <=> ((ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)))), rewrite(((ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)) <=> (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv3(V)) | ssPv2(Y)) | ssPv3(Z)) | ssPv1(W)) <=> (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.52/1.70 inference(bind,[status(th)],[])).
% 1.52/1.70 tff(41,plain,
% 1.52/1.70 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv3(V)) | ssPv2(Y)) | ssPv3(Z)) | ssPv1(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.70 inference(quant_intro,[status(thm)],[40])).
% 1.52/1.70 tff(42,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv3(V)) | ssPv2(Y)) | ssPv3(Z)) | ssPv1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause38')).
% 1.52/1.70 tff(43,plain,
% 1.52/1.70 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[42, 41])).
% 1.52/1.71 tff(44,plain,
% 1.52/1.71 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[43, 39])).
% 1.52/1.71 tff(45,plain,(
% 1.52/1.71 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.71 inference(skolemize,[status(sab)],[44])).
% 1.52/1.71 tff(46,plain,
% 1.52/1.71 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[45, 38])).
% 1.52/1.71 tff(47,plain,
% 1.52/1.71 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(48,plain,
% 1.52/1.71 ((ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(49,plain,
% 1.52/1.71 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.71 inference(monotonicity,[status(thm)],[48])).
% 1.52/1.71 tff(50,plain,
% 1.52/1.71 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(transitivity,[status(thm)],[49, 47])).
% 1.52/1.71 tff(51,plain,
% 1.52/1.71 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(52,plain,
% 1.52/1.71 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[51, 50])).
% 1.52/1.71 tff(53,plain,
% 1.52/1.71 (ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[52, 46, 18, 16])).
% 1.52/1.71 tff(54,plain,
% 1.52/1.71 ($false),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[53, 36, 1, 5, 6])).
% 1.52/1.71 tff(55,plain,(ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.71 tff(56,plain,
% 1.52/1.71 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[55, 6, 5])).
% 1.52/1.71 tff(57,plain,
% 1.52/1.71 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X)) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X)))),
% 1.52/1.71 inference(bind,[status(th)],[])).
% 1.52/1.71 tff(58,plain,
% 1.52/1.71 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))),
% 1.52/1.71 inference(quant_intro,[status(thm)],[57])).
% 1.52/1.71 tff(59,plain,
% 1.52/1.71 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(60,plain,
% 1.52/1.71 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv2(V))) <=> ((~ssPv2(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> (((~ssPv2(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv2(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(X)) <=> (((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(X)))), rewrite((((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(X)) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(X))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(X)) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(X)))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(X)) | ssPv1(W)) <=> (((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(X)) | ssPv1(W)))), rewrite((((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(X)) | ssPv1(W)) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv4(X))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(X)) | ssPv1(W)) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv4(X)))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(X)) | ssPv1(W)) | ssPv3(W)) <=> (((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv4(X)) | ssPv3(W)))), rewrite((((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv4(X)) | ssPv3(W)) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(X)) | ssPv1(W)) | ssPv3(W)) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))))),
% 1.52/1.71 inference(bind,[status(th)],[])).
% 1.52/1.71 tff(61,plain,
% 1.52/1.71 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(X)) | ssPv1(W)) | ssPv3(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))),
% 1.52/1.71 inference(quant_intro,[status(thm)],[60])).
% 1.52/1.71 tff(62,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(X)) | ssPv1(W)) | ssPv3(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause9')).
% 1.52/1.71 tff(63,plain,
% 1.52/1.71 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[62, 61])).
% 1.52/1.71 tff(64,plain,
% 1.52/1.71 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[63, 59])).
% 1.52/1.71 tff(65,plain,(
% 1.52/1.71 ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))),
% 1.52/1.71 inference(skolemize,[status(sab)],[64])).
% 1.52/1.71 tff(66,plain,
% 1.52/1.71 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[65, 58])).
% 1.52/1.71 tff(67,plain,
% 1.52/1.71 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | (ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(68,plain,
% 1.52/1.71 (((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0)))) <=> (ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(69,plain,
% 1.52/1.71 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | (ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.71 inference(monotonicity,[status(thm)],[68])).
% 1.52/1.71 tff(70,plain,
% 1.52/1.71 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(transitivity,[status(thm)],[69, 67])).
% 1.52/1.71 tff(71,plain,
% 1.52/1.71 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(72,plain,
% 1.52/1.71 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[71, 70])).
% 1.52/1.71 tff(73,plain,
% 1.52/1.71 (ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[72, 66, 18, 16])).
% 1.52/1.71 tff(74,plain,
% 1.52/1.71 (ssPv3(skf1(elem!0))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[73, 7, 56, 6])).
% 1.52/1.71 tff(75,plain,
% 1.52/1.71 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W))) <=> (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W))))),
% 1.52/1.71 inference(bind,[status(th)],[])).
% 1.52/1.71 tff(76,plain,
% 1.52/1.71 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))),
% 1.52/1.71 inference(quant_intro,[status(thm)],[75])).
% 1.52/1.71 tff(77,plain,
% 1.52/1.71 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(78,plain,
% 1.52/1.71 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | (~ssPv3(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv3(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv3(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W))) | ssPv3(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv3(V)) | ssPv4(X)) <=> ((ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W))) | ssPv4(X)))), rewrite(((ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W))) | ssPv4(X)) <=> (ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv3(V)) | ssPv4(X)) <=> (ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv3(V)) | ssPv4(X)) | ssPv2(Y)) <=> ((ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W))) | ssPv2(Y)))), rewrite(((ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W))) | ssPv2(Y)) <=> (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv3(V)) | ssPv4(X)) | ssPv2(Y)) <=> (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))))),
% 1.52/1.71 inference(bind,[status(th)],[])).
% 1.52/1.71 tff(79,plain,
% 1.52/1.71 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv3(V)) | ssPv4(X)) | ssPv2(Y)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))),
% 1.52/1.71 inference(quant_intro,[status(thm)],[78])).
% 1.52/1.71 tff(80,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv3(V)) | ssPv4(X)) | ssPv2(Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause23')).
% 1.52/1.71 tff(81,plain,
% 1.52/1.71 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[80, 79])).
% 1.52/1.71 tff(82,plain,
% 1.52/1.71 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[81, 77])).
% 1.52/1.71 tff(83,plain,(
% 1.52/1.71 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))),
% 1.52/1.71 inference(skolemize,[status(sab)],[82])).
% 1.52/1.71 tff(84,plain,
% 1.52/1.71 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[83, 76])).
% 1.52/1.71 tff(85,plain,
% 1.52/1.71 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(86,plain,
% 1.52/1.71 ((ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0)))) <=> (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(87,plain,
% 1.52/1.71 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.71 inference(monotonicity,[status(thm)],[86])).
% 1.52/1.71 tff(88,plain,
% 1.52/1.71 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(transitivity,[status(thm)],[87, 85])).
% 1.52/1.71 tff(89,plain,
% 1.52/1.71 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(90,plain,
% 1.52/1.71 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[89, 88])).
% 1.52/1.71 tff(91,plain,
% 1.52/1.71 (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[90, 84, 18, 16])).
% 1.52/1.71 tff(92,plain,
% 1.52/1.71 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[91, 74, 7, 4])).
% 1.52/1.71 tff(93,assumption,(~ssPv1(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.52/1.71 tff(94,plain,
% 1.52/1.71 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(95,plain,
% 1.52/1.71 (ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[94, 14])).
% 1.52/1.71 tff(96,plain,
% 1.52/1.71 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) <=> (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))),
% 1.52/1.71 inference(bind,[status(th)],[])).
% 1.52/1.71 tff(97,plain,
% 1.52/1.71 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.52/1.71 inference(quant_intro,[status(thm)],[96])).
% 1.52/1.71 tff(98,plain,
% 1.52/1.71 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(99,plain,
% 1.52/1.71 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssPv3(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) <=> (((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(X))))), rewrite((((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(X))) <=> ((~ssPv3(V)) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) <=> ((~ssPv3(V)) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) <=> (((~ssPv3(V)) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))))), rewrite((((~ssPv3(V)) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))) <=> ((~ssPv3(V)) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) <=> ((~ssPv3(V)) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv1(Y)) <=> (((~ssPv3(V)) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv1(Y)))), rewrite((((~ssPv3(V)) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv1(Y)) | ssPv2(W)) <=> ((ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(W)))), rewrite(((ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(W)) <=> (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv1(Y)) | ssPv2(W)) <=> (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))))),
% 1.52/1.71 inference(bind,[status(th)],[])).
% 1.52/1.71 tff(100,plain,
% 1.52/1.71 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv1(Y)) | ssPv2(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.52/1.71 inference(quant_intro,[status(thm)],[99])).
% 1.52/1.71 tff(101,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv1(Y)) | ssPv2(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause30')).
% 1.52/1.71 tff(102,plain,
% 1.52/1.71 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[101, 100])).
% 1.52/1.71 tff(103,plain,
% 1.52/1.71 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[102, 98])).
% 1.52/1.71 tff(104,plain,(
% 1.52/1.71 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.52/1.71 inference(skolemize,[status(sab)],[103])).
% 1.52/1.71 tff(105,plain,
% 1.52/1.71 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[104, 97])).
% 1.52/1.71 tff(106,plain,
% 1.52/1.71 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(107,plain,
% 1.52/1.71 ((ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(108,plain,
% 1.52/1.71 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.71 inference(monotonicity,[status(thm)],[107])).
% 1.52/1.71 tff(109,plain,
% 1.52/1.71 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.71 inference(transitivity,[status(thm)],[108, 106])).
% 1.52/1.71 tff(110,plain,
% 1.52/1.71 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(111,plain,
% 1.52/1.71 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[110, 109])).
% 1.52/1.71 tff(112,plain,
% 1.52/1.71 (ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[111, 105, 16, 95])).
% 1.52/1.71 tff(113,plain,
% 1.52/1.71 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[112, 3, 56, 4])).
% 1.52/1.71 tff(114,plain,
% 1.52/1.71 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.52/1.71 inference(bind,[status(th)],[])).
% 1.52/1.71 tff(115,plain,
% 1.52/1.71 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.71 inference(quant_intro,[status(thm)],[114])).
% 1.52/1.71 tff(116,plain,
% 1.52/1.71 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(117,plain,
% 1.52/1.71 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(V)) <=> (((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(V)))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(V)) <=> (ssPv4(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(V)) <=> (ssPv4(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(V)) | ssPv1(Y)) <=> ((ssPv4(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Y)))), rewrite(((ssPv4(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Y)) <=> (ssPv1(Y) | ssPv4(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(V)) | ssPv1(Y)) <=> (ssPv1(Y) | ssPv4(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(V)) | ssPv1(Y)) | ssPv3(Z)) <=> ((ssPv1(Y) | ssPv4(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(Z)))), rewrite(((ssPv1(Y) | ssPv4(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(Z)) <=> (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(V)) | ssPv1(Y)) | ssPv3(Z)) <=> (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(V)) | ssPv1(Y)) | ssPv3(Z)) | ssPv1(W)) <=> ((ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)))), rewrite(((ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)) <=> (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(V)) | ssPv1(Y)) | ssPv3(Z)) | ssPv1(W)) <=> (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.52/1.72 inference(bind,[status(th)],[])).
% 1.52/1.72 tff(118,plain,
% 1.52/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(V)) | ssPv1(Y)) | ssPv3(Z)) | ssPv1(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.72 inference(quant_intro,[status(thm)],[117])).
% 1.52/1.72 tff(119,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(V)) | ssPv1(Y)) | ssPv3(Z)) | ssPv1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause36')).
% 1.52/1.72 tff(120,plain,
% 1.52/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[119, 118])).
% 1.52/1.72 tff(121,plain,
% 1.52/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[120, 116])).
% 1.52/1.72 tff(122,plain,(
% 1.52/1.72 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.72 inference(skolemize,[status(sab)],[121])).
% 1.52/1.72 tff(123,plain,
% 1.52/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[122, 115])).
% 1.52/1.72 tff(124,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(125,plain,
% 1.52/1.72 ((ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(126,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[125])).
% 1.52/1.72 tff(127,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.72 inference(transitivity,[status(thm)],[126, 124])).
% 1.52/1.72 tff(128,plain,
% 1.52/1.72 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(129,plain,
% 1.52/1.72 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[128, 127])).
% 1.52/1.72 tff(130,plain,
% 1.52/1.72 (ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[129, 123, 18, 16])).
% 1.52/1.72 tff(131,plain,
% 1.52/1.72 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[130, 3, 6, 5])).
% 1.52/1.72 tff(132,plain,
% 1.52/1.72 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(elem!0, skf1(elem!0))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(133,plain,
% 1.52/1.72 (ssRr(elem!0, skf1(elem!0))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[132, 14])).
% 1.52/1.72 tff(134,plain,
% 1.52/1.72 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl((ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.52/1.72 inference(bind,[status(th)],[])).
% 1.52/1.72 tff(135,plain,
% 1.52/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.72 inference(quant_intro,[status(thm)],[134])).
% 1.52/1.72 tff(136,plain,
% 1.52/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(137,plain,
% 1.52/1.72 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) <=> (((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(Z, X1))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(Z, X1))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) <=> (((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv1(W))) <=> (((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))))), rewrite((((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv1(W))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv3(V)) <=> (((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(V)))), rewrite((((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(V)) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv3(V)) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(Y)) <=> (((~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Y)))), rewrite((((~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Y)) <=> (ssPv2(Y) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(Y)) <=> (ssPv2(Y) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(Y)) | ssPv1(X1)) <=> ((ssPv2(Y) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(X1)))), rewrite(((ssPv2(Y) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(X1)) <=> (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(Y)) | ssPv1(X1)) <=> (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.52/1.72 inference(bind,[status(th)],[])).
% 1.52/1.72 tff(138,plain,
% 1.52/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(Y)) | ssPv1(X1)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.72 inference(quant_intro,[status(thm)],[137])).
% 1.52/1.72 tff(139,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(Y)) | ssPv1(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause49')).
% 1.52/1.72 tff(140,plain,
% 1.52/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[139, 138])).
% 1.52/1.72 tff(141,plain,
% 1.52/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[140, 136])).
% 1.52/1.72 tff(142,plain,(
% 1.52/1.72 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.72 inference(skolemize,[status(sab)],[141])).
% 1.52/1.72 tff(143,plain,
% 1.52/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[142, 135])).
% 1.52/1.72 tff(144,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(145,plain,
% 1.52/1.72 ((ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> ((~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(146,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0)))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[145])).
% 1.52/1.72 tff(147,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))))),
% 1.52/1.72 inference(transitivity,[status(thm)],[146, 144])).
% 1.52/1.72 tff(148,plain,
% 1.52/1.72 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(149,plain,
% 1.52/1.72 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0)))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[148, 147])).
% 1.52/1.72 tff(150,plain,
% 1.52/1.72 ((~ssPv1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0)))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[149, 143, 133, 18])).
% 1.52/1.72 tff(151,plain,
% 1.52/1.72 (~ssPv1(elem!0)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[150, 5, 4, 93])).
% 1.52/1.72 tff(152,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(153,plain,
% 1.52/1.72 ((ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> (ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(154,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[153])).
% 1.52/1.72 tff(155,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.52/1.72 inference(transitivity,[status(thm)],[154, 152])).
% 1.52/1.72 tff(156,plain,
% 1.52/1.72 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(157,plain,
% 1.52/1.72 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[156, 155])).
% 1.52/1.72 tff(158,plain,
% 1.52/1.72 (ssPv1(elem!0) | ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0)))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[157, 46, 133, 18])).
% 1.52/1.72 tff(159,plain,
% 1.52/1.72 (ssPv3(skf1(elem!0))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[158, 151, 4, 5])).
% 1.52/1.72 tff(160,plain,
% 1.52/1.72 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[91, 7, 159, 4])).
% 1.52/1.72 tff(161,plain,
% 1.52/1.72 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[35, 160, 5, 6])).
% 1.52/1.72 tff(162,assumption,(~ssPv2(skf1(elem!0))), introduced(assumption)).
% 1.52/1.72 tff(163,assumption,(ssPv2(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.52/1.72 tff(164,plain,
% 1.52/1.72 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V))) <=> (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V))))),
% 1.52/1.72 inference(bind,[status(th)],[])).
% 1.52/1.72 tff(165,plain,
% 1.52/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))),
% 1.52/1.72 inference(quant_intro,[status(thm)],[164])).
% 1.52/1.72 tff(166,plain,
% 1.52/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(167,plain,
% 1.52/1.72 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv2(V))) <=> ((~ssRr(U, V)) | (~ssPv2(V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> (((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))))), rewrite((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(X, Y))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv1(Y)) <=> (((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | ssPv1(Y)))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv1(Y)) | ssPv4(Z)) <=> ((ssPv1(Y) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | ssPv4(Z)))), rewrite(((ssPv1(Y) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | ssPv4(Z)) <=> (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv1(Y)) | ssPv4(Z)) <=> (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), ((((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv1(Y)) | ssPv4(Z)) | ssPv2(W)) <=> ((ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | ssPv2(W)))), rewrite(((ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | ssPv2(W)) <=> (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))), ((((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv1(Y)) | ssPv4(Z)) | ssPv2(W)) <=> (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))))),
% 1.52/1.72 inference(bind,[status(th)],[])).
% 1.52/1.72 tff(168,plain,
% 1.52/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv1(Y)) | ssPv4(Z)) | ssPv2(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))),
% 1.52/1.72 inference(quant_intro,[status(thm)],[167])).
% 1.52/1.72 tff(169,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv1(Y)) | ssPv4(Z)) | ssPv2(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause39')).
% 1.52/1.72 tff(170,plain,
% 1.52/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[169, 168])).
% 1.52/1.72 tff(171,plain,
% 1.52/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[170, 166])).
% 1.52/1.72 tff(172,plain,(
% 1.52/1.72 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))),
% 1.52/1.72 inference(skolemize,[status(sab)],[171])).
% 1.52/1.72 tff(173,plain,
% 1.52/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[172, 165])).
% 1.52/1.72 tff(174,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(175,plain,
% 1.52/1.72 ((ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0)))))) <=> (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(176,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[175])).
% 1.52/1.72 tff(177,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(transitivity,[status(thm)],[176, 174])).
% 1.52/1.73 tff(178,plain,
% 1.52/1.73 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(quant_inst,[status(thm)],[])).
% 1.52/1.73 tff(179,plain,
% 1.52/1.73 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[178, 177])).
% 1.52/1.73 tff(180,plain,
% 1.52/1.73 (ssPv2(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[179, 173, 18, 16])).
% 1.52/1.73 tff(181,plain,
% 1.52/1.73 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[180, 162, 7, 163])).
% 1.52/1.73 tff(182,plain,
% 1.52/1.73 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) <=> (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))),
% 1.52/1.73 inference(bind,[status(th)],[])).
% 1.52/1.73 tff(183,plain,
% 1.52/1.73 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.52/1.73 inference(quant_intro,[status(thm)],[182])).
% 1.52/1.73 tff(184,plain,
% 1.52/1.73 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(185,plain,
% 1.52/1.73 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv1(V))) <=> ((~ssPv1(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> (((~ssPv1(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv1(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> ((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) <=> (((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))))), rewrite((((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))) <=> ((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) <=> ((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | ssPv4(X)) <=> (((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv4(X)))), rewrite((((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv4(X)) <=> (ssPv4(X) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | ssPv4(X)) <=> (ssPv4(X) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | ssPv4(X)) | ssPv2(Y)) <=> ((ssPv4(X) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(Y)))), rewrite(((ssPv4(X) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(Y)) <=> (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | ssPv4(X)) | ssPv2(Y)) <=> (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | ssPv4(X)) | ssPv2(Y)) | ssPv2(W)) <=> ((ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(W)))), rewrite(((ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(W)) <=> (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | ssPv4(X)) | ssPv2(Y)) | ssPv2(W)) <=> (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))))),
% 1.52/1.73 inference(bind,[status(th)],[])).
% 1.52/1.73 tff(186,plain,
% 1.52/1.73 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | ssPv4(X)) | ssPv2(Y)) | ssPv2(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.52/1.73 inference(quant_intro,[status(thm)],[185])).
% 1.52/1.73 tff(187,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | ssPv4(X)) | ssPv2(Y)) | ssPv2(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause22')).
% 1.52/1.73 tff(188,plain,
% 1.52/1.73 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[187, 186])).
% 1.52/1.73 tff(189,plain,
% 1.52/1.73 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[188, 184])).
% 1.52/1.73 tff(190,plain,(
% 1.52/1.73 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.52/1.73 inference(skolemize,[status(sab)],[189])).
% 1.52/1.73 tff(191,plain,
% 1.52/1.73 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[190, 183])).
% 1.52/1.73 tff(192,plain,
% 1.52/1.73 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(193,plain,
% 1.52/1.73 ((ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> (ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(194,plain,
% 1.52/1.73 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.73 inference(monotonicity,[status(thm)],[193])).
% 1.52/1.73 tff(195,plain,
% 1.52/1.73 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(transitivity,[status(thm)],[194, 192])).
% 1.52/1.73 tff(196,plain,
% 1.52/1.73 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.52/1.73 inference(quant_inst,[status(thm)],[])).
% 1.52/1.73 tff(197,plain,
% 1.52/1.73 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[196, 195])).
% 1.52/1.73 tff(198,plain,
% 1.52/1.73 (ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[197, 191, 18, 16])).
% 1.52/1.73 tff(199,plain,
% 1.52/1.73 ($false),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[198, 181, 162, 4, 7])).
% 1.52/1.73 tff(200,plain,(ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.73 tff(201,plain,
% 1.52/1.73 (ssPv2(skf1(elem!0))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[200, 161, 7, 4])).
% 1.52/1.73 tff(202,plain,
% 1.52/1.73 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[112, 3, 163, 4])).
% 1.52/1.73 tff(203,plain,
% 1.52/1.73 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.52/1.73 inference(bind,[status(th)],[])).
% 1.52/1.73 tff(204,plain,
% 1.52/1.73 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.73 inference(quant_intro,[status(thm)],[203])).
% 1.52/1.73 tff(205,plain,
% 1.52/1.73 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(206,plain,
% 1.52/1.73 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv3(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(V)) <=> (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv3(V)) <=> (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv3(V)) | ssPv1(X)) <=> ((ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(X)))), rewrite(((ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(X)) <=> (ssPv3(V) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv3(V)) | ssPv1(X)) <=> (ssPv3(V) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv3(V)) | ssPv1(X)) | ssPv2(W)) <=> ((ssPv3(V) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)))), rewrite(((ssPv3(V) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)) <=> (ssPv3(V) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv3(V)) | ssPv1(X)) | ssPv2(W)) <=> (ssPv3(V) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv3(V)) | ssPv1(X)) | ssPv2(W)) | ssPv4(W)) <=> ((ssPv3(V) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)))), rewrite(((ssPv3(V) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)) <=> (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv3(V)) | ssPv1(X)) | ssPv2(W)) | ssPv4(W)) <=> (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.52/1.73 inference(bind,[status(th)],[])).
% 1.52/1.73 tff(207,plain,
% 1.52/1.73 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv3(V)) | ssPv1(X)) | ssPv2(W)) | ssPv4(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.73 inference(quant_intro,[status(thm)],[206])).
% 1.52/1.73 tff(208,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv3(V)) | ssPv1(X)) | ssPv2(W)) | ssPv4(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause4')).
% 1.52/1.73 tff(209,plain,
% 1.52/1.73 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[208, 207])).
% 1.52/1.73 tff(210,plain,
% 1.52/1.73 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[209, 205])).
% 1.52/1.73 tff(211,plain,(
% 1.52/1.73 ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.73 inference(skolemize,[status(sab)],[210])).
% 1.52/1.73 tff(212,plain,
% 1.52/1.73 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[211, 204])).
% 1.52/1.73 tff(213,plain,
% 1.52/1.73 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(214,plain,
% 1.52/1.73 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(215,plain,
% 1.52/1.73 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.73 inference(monotonicity,[status(thm)],[214])).
% 1.52/1.73 tff(216,plain,
% 1.52/1.73 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(transitivity,[status(thm)],[215, 213])).
% 1.52/1.73 tff(217,plain,
% 1.52/1.73 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.73 inference(quant_inst,[status(thm)],[])).
% 1.52/1.73 tff(218,plain,
% 1.52/1.73 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[217, 216])).
% 1.52/1.73 tff(219,plain,
% 1.52/1.73 (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[218, 212, 16, 95])).
% 1.52/1.73 tff(220,plain,
% 1.52/1.73 ($false),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[219, 202, 3, 7, 4])).
% 1.52/1.73 tff(221,plain,(ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.73 tff(222,plain,
% 1.52/1.73 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[221, 161, 7, 4])).
% 1.52/1.73 tff(223,plain,
% 1.52/1.73 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl(((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) <=> ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))))),
% 1.52/1.73 inference(bind,[status(th)],[])).
% 1.52/1.73 tff(224,plain,
% 1.52/1.73 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.52/1.73 inference(quant_intro,[status(thm)],[223])).
% 1.52/1.73 tff(225,plain,
% 1.52/1.73 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(226,plain,
% 1.52/1.73 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv4(V))) <=> ((~ssPv4(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> (((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) <=> (((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(Y))))), rewrite((((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(Y))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) <=> (((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) <=> (((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(Z, X1))))), rewrite((((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(Z, X1))) <=> ((~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) <=> ((~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssPv1(X1))) <=> (((~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(X1))))), rewrite((((~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(X1))) <=> ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssPv1(X1))) <=> ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssPv1(X1))) | (~ssRr(W, Z))) <=> (((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssPv1(X1))) | (~ssRr(W, Z))) <=> ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssPv1(X1))) | (~ssRr(W, Z))) | (~ssPv2(W))) <=> (((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(W))))), rewrite((((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(W))) <=> ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))), (((((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssPv1(X1))) | (~ssRr(W, Z))) | (~ssPv2(W))) <=> ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))))),
% 1.52/1.73 inference(bind,[status(th)],[])).
% 1.52/1.73 tff(227,plain,
% 1.52/1.73 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssPv1(X1))) | (~ssRr(W, Z))) | (~ssPv2(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.52/1.73 inference(quant_intro,[status(thm)],[226])).
% 1.52/1.73 tff(228,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssPv1(X1))) | (~ssRr(W, Z))) | (~ssPv2(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause51')).
% 1.52/1.73 tff(229,plain,
% 1.52/1.73 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[228, 227])).
% 1.52/1.73 tff(230,plain,
% 1.52/1.73 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[229, 225])).
% 1.52/1.73 tff(231,plain,(
% 1.52/1.73 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.52/1.73 inference(skolemize,[status(sab)],[230])).
% 1.52/1.73 tff(232,plain,
% 1.52/1.73 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[231, 224])).
% 1.52/1.73 tff(233,plain,
% 1.52/1.73 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(234,plain,
% 1.52/1.73 (((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(elem!0)))) <=> ((~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(235,plain,
% 1.52/1.73 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.73 inference(monotonicity,[status(thm)],[234])).
% 1.52/1.73 tff(236,plain,
% 1.52/1.73 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(transitivity,[status(thm)],[235, 233])).
% 1.52/1.73 tff(237,plain,
% 1.52/1.73 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(elem!0))))),
% 1.52/1.73 inference(quant_inst,[status(thm)],[])).
% 1.52/1.73 tff(238,plain,
% 1.52/1.73 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[237, 236])).
% 1.52/1.73 tff(239,plain,
% 1.52/1.73 ((~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[238, 232, 18, 16])).
% 1.52/1.73 tff(240,plain,
% 1.52/1.73 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[239, 222, 201, 161])).
% 1.52/1.73 tff(241,plain,
% 1.52/1.73 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(242,plain,
% 1.52/1.74 (((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0))))) <=> (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(243,plain,
% 1.52/1.74 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.74 inference(monotonicity,[status(thm)],[242])).
% 1.52/1.74 tff(244,plain,
% 1.52/1.74 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.74 inference(transitivity,[status(thm)],[243, 241])).
% 1.52/1.74 tff(245,plain,
% 1.52/1.74 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.74 inference(quant_inst,[status(thm)],[])).
% 1.52/1.74 tff(246,plain,
% 1.52/1.74 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[245, 244])).
% 1.52/1.74 tff(247,plain,
% 1.52/1.74 (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[246, 66, 16, 95])).
% 1.52/1.74 tff(248,plain,
% 1.52/1.74 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[247, 240, 5, 93])).
% 1.52/1.74 tff(249,plain,
% 1.52/1.74 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V))))),
% 1.52/1.74 inference(bind,[status(th)],[])).
% 1.52/1.74 tff(250,plain,
% 1.52/1.74 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))),
% 1.52/1.74 inference(quant_intro,[status(thm)],[249])).
% 1.52/1.74 tff(251,plain,
% 1.52/1.74 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(252,plain,
% 1.52/1.74 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssRr(U, V)) | (~ssPv3(V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))))), rewrite((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, X))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(X)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V))) | ssPv4(X)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V))) | ssPv4(X)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(X) | (~ssPv3(V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(X)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(X) | (~ssPv3(V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(X)) | ssPv1(W)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(X) | (~ssPv3(V))) | ssPv1(W)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(X) | (~ssPv3(V))) | ssPv1(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv4(X) | (~ssPv3(V)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(X)) | ssPv1(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv4(X) | (~ssPv3(V))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(X)) | ssPv1(W)) | ssPv3(W)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv4(X) | (~ssPv3(V))) | ssPv3(W)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv4(X) | (~ssPv3(V))) | ssPv3(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(X)) | ssPv1(W)) | ssPv3(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))))),
% 1.52/1.74 inference(bind,[status(th)],[])).
% 1.52/1.74 tff(253,plain,
% 1.52/1.74 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(X)) | ssPv1(W)) | ssPv3(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))),
% 1.52/1.74 inference(quant_intro,[status(thm)],[252])).
% 1.52/1.74 tff(254,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(X)) | ssPv1(W)) | ssPv3(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause8')).
% 1.52/1.74 tff(255,plain,
% 1.52/1.74 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[254, 253])).
% 1.52/1.74 tff(256,plain,
% 1.52/1.74 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[255, 251])).
% 1.52/1.74 tff(257,plain,(
% 1.52/1.74 ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))),
% 1.52/1.74 inference(skolemize,[status(sab)],[256])).
% 1.52/1.74 tff(258,plain,
% 1.52/1.74 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[257, 250])).
% 1.52/1.74 tff(259,plain,
% 1.52/1.74 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(260,plain,
% 1.52/1.74 (((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(261,plain,
% 1.52/1.74 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.74 inference(monotonicity,[status(thm)],[260])).
% 1.52/1.74 tff(262,plain,
% 1.52/1.74 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.74 inference(transitivity,[status(thm)],[261, 259])).
% 1.52/1.74 tff(263,plain,
% 1.52/1.74 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.74 inference(quant_inst,[status(thm)],[])).
% 1.52/1.74 tff(264,plain,
% 1.52/1.74 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[263, 262])).
% 1.52/1.74 tff(265,plain,
% 1.52/1.74 (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[264, 258, 16, 95])).
% 1.52/1.74 tff(266,plain,
% 1.52/1.74 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[265, 240, 5, 93])).
% 1.52/1.74 tff(267,plain,
% 1.52/1.74 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) <=> (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)))),
% 1.52/1.74 inference(bind,[status(th)],[])).
% 1.52/1.74 tff(268,plain,
% 1.52/1.74 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.52/1.74 inference(quant_intro,[status(thm)],[267])).
% 1.52/1.74 tff(269,plain,
% 1.52/1.74 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(270,plain,
% 1.52/1.74 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv4(V))) <=> ((~ssPv4(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> (((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv3(Y)) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(Y)))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv3(Y)) | ssPv1(W)) <=> ((ssPv3(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)))), rewrite(((ssPv3(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)) <=> (ssPv3(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv3(Y)) | ssPv1(W)) <=> (ssPv3(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv3(Y)) | ssPv1(W)) | ssPv2(W)) <=> ((ssPv3(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) | ssPv2(W)))), rewrite(((ssPv3(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) | ssPv2(W)) <=> (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv3(Y)) | ssPv1(W)) | ssPv2(W)) <=> (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))))),
% 1.52/1.74 inference(bind,[status(th)],[])).
% 1.52/1.74 tff(271,plain,
% 1.52/1.74 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv3(Y)) | ssPv1(W)) | ssPv2(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.52/1.74 inference(quant_intro,[status(thm)],[270])).
% 1.52/1.74 tff(272,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv3(Y)) | ssPv1(W)) | ssPv2(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause26')).
% 1.52/1.74 tff(273,plain,
% 1.52/1.74 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[272, 271])).
% 1.52/1.74 tff(274,plain,
% 1.52/1.74 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[273, 269])).
% 1.52/1.74 tff(275,plain,(
% 1.52/1.74 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.52/1.74 inference(skolemize,[status(sab)],[274])).
% 1.52/1.74 tff(276,plain,
% 1.52/1.74 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[275, 268])).
% 1.52/1.74 tff(277,plain,
% 1.52/1.74 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(278,plain,
% 1.52/1.74 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0)))) <=> (ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(279,plain,
% 1.52/1.74 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.74 inference(monotonicity,[status(thm)],[278])).
% 1.52/1.74 tff(280,plain,
% 1.52/1.74 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(transitivity,[status(thm)],[279, 277])).
% 1.52/1.74 tff(281,plain,
% 1.52/1.74 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))))),
% 1.52/1.74 inference(quant_inst,[status(thm)],[])).
% 1.52/1.74 tff(282,plain,
% 1.52/1.74 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[281, 280])).
% 1.52/1.74 tff(283,plain,
% 1.52/1.74 (ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[282, 276, 16, 95])).
% 1.52/1.74 tff(284,plain,
% 1.52/1.74 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[283, 266, 93, 4])).
% 1.52/1.74 tff(285,plain,
% 1.52/1.74 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(quant_inst,[status(thm)],[])).
% 1.52/1.74 tff(286,plain,
% 1.52/1.74 (ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[285, 14])).
% 1.52/1.74 tff(287,plain,
% 1.52/1.74 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(288,plain,
% 1.52/1.74 ((ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(289,plain,
% 1.52/1.74 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.52/1.74 inference(monotonicity,[status(thm)],[288])).
% 1.52/1.74 tff(290,plain,
% 1.52/1.74 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.74 inference(transitivity,[status(thm)],[289, 287])).
% 1.52/1.74 tff(291,plain,
% 1.52/1.74 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(quant_inst,[status(thm)],[])).
% 1.52/1.74 tff(292,plain,
% 1.52/1.74 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[291, 290])).
% 1.52/1.74 tff(293,plain,
% 1.52/1.74 ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[292, 84, 95, 286])).
% 1.52/1.74 tff(294,plain,
% 1.52/1.74 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[293, 284, 160, 248])).
% 1.52/1.74 tff(295,plain,
% 1.52/1.74 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W))) <=> ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W))))),
% 1.52/1.74 inference(bind,[status(th)],[])).
% 1.52/1.74 tff(296,plain,
% 1.52/1.74 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))),
% 1.52/1.74 inference(quant_intro,[status(thm)],[295])).
% 1.52/1.74 tff(297,plain,
% 1.52/1.74 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(298,plain,
% 1.52/1.74 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssPv3(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) <=> (((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Y))))), rewrite((((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Y))) <=> ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) <=> ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) <=> (((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) <=> ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> (((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))))), rewrite((((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))) <=> ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv3(W))) <=> (((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | (~ssPv3(W))))), rewrite((((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | (~ssPv3(W))) <=> ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv3(W))) <=> ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))))),
% 1.52/1.74 inference(bind,[status(th)],[])).
% 1.52/1.74 tff(299,plain,
% 1.52/1.74 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv3(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))),
% 1.52/1.74 inference(quant_intro,[status(thm)],[298])).
% 1.52/1.74 tff(300,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv3(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause37')).
% 1.52/1.74 tff(301,plain,
% 1.52/1.74 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[300, 299])).
% 1.52/1.74 tff(302,plain,
% 1.52/1.74 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[301, 297])).
% 1.52/1.75 tff(303,plain,(
% 1.52/1.75 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))),
% 1.52/1.75 inference(skolemize,[status(sab)],[302])).
% 1.52/1.75 tff(304,plain,
% 1.52/1.75 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[303, 296])).
% 1.52/1.75 tff(305,plain,
% 1.52/1.75 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(306,plain,
% 1.52/1.75 (((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(307,plain,
% 1.52/1.75 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.52/1.75 inference(monotonicity,[status(thm)],[306])).
% 1.52/1.75 tff(308,plain,
% 1.52/1.75 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.75 inference(transitivity,[status(thm)],[307, 305])).
% 1.52/1.75 tff(309,plain,
% 1.52/1.75 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(310,plain,
% 1.52/1.75 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[309, 308])).
% 1.52/1.75 tff(311,plain,
% 1.52/1.75 ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[310, 304, 95, 286])).
% 1.52/1.75 tff(312,plain,
% 1.52/1.75 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[311, 294, 160, 222])).
% 1.52/1.75 tff(313,plain,
% 1.52/1.75 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) <=> (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))),
% 1.52/1.75 inference(bind,[status(th)],[])).
% 1.52/1.75 tff(314,plain,
% 1.52/1.75 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.52/1.75 inference(quant_intro,[status(thm)],[313])).
% 1.52/1.75 tff(315,plain,
% 1.52/1.75 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(316,plain,
% 1.52/1.75 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssPv3(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> (((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))))), rewrite((((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(Y)) <=> (((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv1(Y)))), rewrite((((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(Y)) | ssPv4(W)) <=> ((ssPv1(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv4(W)))), rewrite(((ssPv1(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv4(W)) <=> (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(Y)) | ssPv4(W)) <=> (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))))),
% 1.52/1.75 inference(bind,[status(th)],[])).
% 1.52/1.75 tff(317,plain,
% 1.52/1.75 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(Y)) | ssPv4(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.52/1.75 inference(quant_intro,[status(thm)],[316])).
% 1.52/1.75 tff(318,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(Y)) | ssPv4(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause29')).
% 1.52/1.75 tff(319,plain,
% 1.52/1.75 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[318, 317])).
% 1.52/1.75 tff(320,plain,
% 1.52/1.75 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[319, 315])).
% 1.52/1.75 tff(321,plain,(
% 1.52/1.75 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.52/1.75 inference(skolemize,[status(sab)],[320])).
% 1.52/1.75 tff(322,plain,
% 1.52/1.75 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[321, 314])).
% 1.52/1.75 tff(323,plain,
% 1.52/1.75 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(324,plain,
% 1.52/1.75 ((ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))) <=> (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(325,plain,
% 1.52/1.75 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.75 inference(monotonicity,[status(thm)],[324])).
% 1.52/1.75 tff(326,plain,
% 1.52/1.75 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.75 inference(transitivity,[status(thm)],[325, 323])).
% 1.52/1.75 tff(327,plain,
% 1.52/1.75 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(328,plain,
% 1.52/1.75 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[327, 326])).
% 1.52/1.75 tff(329,plain,
% 1.52/1.75 (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[328, 322, 95, 286])).
% 1.52/1.75 tff(330,plain,
% 1.52/1.75 ($false),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[329, 312, 294, 222, 240])).
% 1.52/1.75 tff(331,plain,(ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.75 tff(332,plain,
% 1.52/1.75 (ssPv4(skf1(skf1(elem!0)))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[331, 93, 6, 5, 4])).
% 1.52/1.75 tff(333,plain,
% 1.52/1.75 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) <=> ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))),
% 1.52/1.75 inference(bind,[status(th)],[])).
% 1.52/1.75 tff(334,plain,
% 1.52/1.75 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.52/1.75 inference(quant_intro,[status(thm)],[333])).
% 1.52/1.75 tff(335,plain,
% 1.52/1.75 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(336,plain,
% 1.52/1.75 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv1(V))) <=> ((~ssPv1(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> (((~ssPv1(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv1(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> ((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(W))) <=> (((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(W))))), rewrite((((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(W))) <=> ((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(W))) <=> ((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(W))) | ssPv1(X)) <=> (((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv1(X)))), rewrite((((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv1(X)) <=> ((~ssPv1(V)) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(W))) | ssPv1(X)) <=> ((~ssPv1(V)) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(W))) | ssPv1(X)) | ssPv2(W)) <=> (((~ssPv1(V)) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv2(W)))), rewrite((((~ssPv1(V)) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv2(W)) <=> ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(W))) | ssPv1(X)) | ssPv2(W)) <=> ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))))),
% 1.52/1.75 inference(bind,[status(th)],[])).
% 1.52/1.75 tff(337,plain,
% 1.52/1.75 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(W))) | ssPv1(X)) | ssPv2(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.52/1.75 inference(quant_intro,[status(thm)],[336])).
% 1.52/1.75 tff(338,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(W))) | ssPv1(X)) | ssPv2(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause16')).
% 1.52/1.75 tff(339,plain,
% 1.52/1.75 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[338, 337])).
% 1.52/1.75 tff(340,plain,
% 1.52/1.75 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[339, 335])).
% 1.52/1.75 tff(341,plain,(
% 1.52/1.75 ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.52/1.75 inference(skolemize,[status(sab)],[340])).
% 1.52/1.75 tff(342,plain,
% 1.52/1.75 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[341, 334])).
% 1.52/1.75 tff(343,plain,
% 1.52/1.75 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(344,plain,
% 1.52/1.75 (((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(elem!0))))) <=> (ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(345,plain,
% 1.52/1.75 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.75 inference(monotonicity,[status(thm)],[344])).
% 1.52/1.75 tff(346,plain,
% 1.52/1.75 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.75 inference(transitivity,[status(thm)],[345, 343])).
% 1.52/1.75 tff(347,plain,
% 1.52/1.75 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(348,plain,
% 1.52/1.75 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[347, 346])).
% 1.52/1.75 tff(349,plain,
% 1.52/1.75 (ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[348, 342, 16, 95])).
% 1.52/1.75 tff(350,plain,
% 1.52/1.75 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[349, 3, 4, 332])).
% 1.52/1.75 tff(351,plain,
% 1.52/1.75 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) <=> (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))),
% 1.52/1.75 inference(bind,[status(th)],[])).
% 1.52/1.75 tff(352,plain,
% 1.52/1.75 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.52/1.75 inference(quant_intro,[status(thm)],[351])).
% 1.52/1.75 tff(353,plain,
% 1.52/1.75 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(354,plain,
% 1.52/1.75 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(X))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) <=> (((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))))), rewrite((((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv1(V)) <=> (((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv1(V)))), rewrite((((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv1(V)) <=> (ssPv1(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv1(V)) <=> (ssPv1(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv1(V)) | ssPv3(Y)) <=> ((ssPv1(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv3(Y)))), rewrite(((ssPv1(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv3(Y)) <=> (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv1(V)) | ssPv3(Y)) <=> (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv1(V)) | ssPv3(Y)) | ssPv2(W)) <=> ((ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(W)))), rewrite(((ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(W)) <=> (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv1(V)) | ssPv3(Y)) | ssPv2(W)) <=> (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))))),
% 1.52/1.75 inference(bind,[status(th)],[])).
% 1.52/1.75 tff(355,plain,
% 1.52/1.75 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv1(V)) | ssPv3(Y)) | ssPv2(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.52/1.75 inference(quant_intro,[status(thm)],[354])).
% 1.52/1.75 tff(356,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv1(V)) | ssPv3(Y)) | ssPv2(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause21')).
% 1.52/1.75 tff(357,plain,
% 1.52/1.75 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[356, 355])).
% 1.52/1.75 tff(358,plain,
% 1.52/1.75 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[357, 353])).
% 1.52/1.75 tff(359,plain,(
% 1.52/1.75 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.52/1.75 inference(skolemize,[status(sab)],[358])).
% 1.52/1.75 tff(360,plain,
% 1.52/1.75 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[359, 352])).
% 1.52/1.75 tff(361,plain,
% 1.52/1.75 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(362,plain,
% 1.52/1.75 ((ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(363,plain,
% 1.52/1.75 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.59/1.75 inference(monotonicity,[status(thm)],[362])).
% 1.59/1.75 tff(364,plain,
% 1.59/1.75 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.59/1.75 inference(transitivity,[status(thm)],[363, 361])).
% 1.59/1.75 tff(365,plain,
% 1.59/1.75 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.59/1.75 inference(quant_inst,[status(thm)],[])).
% 1.59/1.75 tff(366,plain,
% 1.59/1.75 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.59/1.75 inference(modus_ponens,[status(thm)],[365, 364])).
% 1.59/1.75 tff(367,plain,
% 1.59/1.75 (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.59/1.75 inference(unit_resolution,[status(thm)],[366, 360, 16, 95])).
% 1.59/1.75 tff(368,plain,
% 1.59/1.75 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.59/1.75 inference(unit_resolution,[status(thm)],[367, 350, 4, 56])).
% 1.59/1.75 tff(369,plain,
% 1.59/1.75 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.59/1.75 inference(unit_resolution,[status(thm)],[283, 113, 93, 4])).
% 1.59/1.75 tff(370,assumption,(~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.59/1.75 tff(371,assumption,(~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.59/1.75 tff(372,assumption,(ssPv3(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.59/1.75 tff(373,assumption,(~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.59/1.75 tff(374,plain,
% 1.59/1.75 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.59/1.75 inference(unit_resolution,[status(thm)],[293, 373, 372, 371])).
% 1.59/1.75 tff(375,plain,
% 1.59/1.75 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.59/1.76 inference(rewrite,[status(thm)],[])).
% 1.59/1.76 tff(376,plain,
% 1.59/1.76 ((ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.59/1.76 inference(rewrite,[status(thm)],[])).
% 1.59/1.76 tff(377,plain,
% 1.59/1.76 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.76 inference(monotonicity,[status(thm)],[376])).
% 1.59/1.76 tff(378,plain,
% 1.59/1.76 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.59/1.76 inference(transitivity,[status(thm)],[377, 375])).
% 1.59/1.76 tff(379,plain,
% 1.59/1.76 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.59/1.76 inference(quant_inst,[status(thm)],[])).
% 1.59/1.76 tff(380,plain,
% 1.59/1.76 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.59/1.76 inference(modus_ponens,[status(thm)],[379, 378])).
% 1.59/1.76 tff(381,plain,
% 1.59/1.76 (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.59/1.76 inference(unit_resolution,[status(thm)],[380, 28, 95, 286])).
% 1.59/1.76 tff(382,plain,
% 1.59/1.76 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.59/1.76 inference(unit_resolution,[status(thm)],[381, 374, 3, 370])).
% 1.59/1.76 tff(383,assumption,(~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), introduced(assumption)).
% 1.59/1.76 tff(384,assumption,(ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))), introduced(assumption)).
% 1.59/1.76 tff(385,plain,
% 1.59/1.76 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.59/1.76 inference(quant_inst,[status(thm)],[])).
% 1.59/1.76 tff(386,plain,
% 1.59/1.76 (ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.59/1.76 inference(unit_resolution,[status(thm)],[385, 14])).
% 1.59/1.76 tff(387,plain,
% 1.59/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.76 inference(rewrite,[status(thm)],[])).
% 1.59/1.76 tff(388,plain,
% 1.59/1.76 ((ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.76 inference(rewrite,[status(thm)],[])).
% 1.59/1.76 tff(389,plain,
% 1.59/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.59/1.76 inference(monotonicity,[status(thm)],[388])).
% 1.59/1.76 tff(390,plain,
% 1.59/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.76 inference(transitivity,[status(thm)],[389, 387])).
% 1.59/1.76 tff(391,plain,
% 1.59/1.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.59/1.76 inference(quant_inst,[status(thm)],[])).
% 1.59/1.76 tff(392,plain,
% 1.59/1.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.59/1.76 inference(modus_ponens,[status(thm)],[391, 390])).
% 1.59/1.76 tff(393,plain,
% 1.59/1.76 (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.59/1.76 inference(unit_resolution,[status(thm)],[392, 105, 286, 386])).
% 1.59/1.76 tff(394,plain,
% 1.59/1.76 (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.59/1.76 inference(unit_resolution,[status(thm)],[393, 383, 373, 384])).
% 1.59/1.76 tff(395,plain,
% 1.59/1.76 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.76 inference(rewrite,[status(thm)],[])).
% 1.59/1.76 tff(396,plain,
% 1.59/1.76 ((ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.76 inference(rewrite,[status(thm)],[])).
% 1.59/1.76 tff(397,plain,
% 1.59/1.76 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.59/1.76 inference(monotonicity,[status(thm)],[396])).
% 1.59/1.76 tff(398,plain,
% 1.59/1.76 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.76 inference(transitivity,[status(thm)],[397, 395])).
% 1.59/1.76 tff(399,plain,
% 1.59/1.76 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.76 inference(quant_inst,[status(thm)],[])).
% 1.59/1.76 tff(400,plain,
% 1.59/1.76 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.59/1.76 inference(modus_ponens,[status(thm)],[399, 398])).
% 1.59/1.76 tff(401,plain,
% 1.59/1.76 (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.59/1.76 inference(unit_resolution,[status(thm)],[400, 212, 286, 386])).
% 1.59/1.76 tff(402,plain,
% 1.59/1.76 ($false),
% 1.59/1.76 inference(unit_resolution,[status(thm)],[401, 394, 383, 373, 371])).
% 1.59/1.76 tff(403,plain,(ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))), inference(lemma,lemma(discharge,[]))).
% 1.59/1.76 tff(404,plain,
% 1.59/1.76 (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.59/1.76 inference(unit_resolution,[status(thm)],[403, 382, 371, 373])).
% 1.59/1.76 tff(405,plain,
% 1.59/1.76 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.59/1.76 inference(rewrite,[status(thm)],[])).
% 1.59/1.76 tff(406,plain,
% 1.59/1.76 (((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.59/1.76 inference(rewrite,[status(thm)],[])).
% 1.59/1.76 tff(407,plain,
% 1.59/1.76 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.76 inference(monotonicity,[status(thm)],[406])).
% 1.59/1.76 tff(408,plain,
% 1.59/1.76 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.59/1.76 inference(transitivity,[status(thm)],[407, 405])).
% 1.59/1.76 tff(409,plain,
% 1.59/1.76 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.59/1.76 inference(quant_inst,[status(thm)],[])).
% 1.59/1.76 tff(410,plain,
% 1.59/1.76 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.59/1.76 inference(modus_ponens,[status(thm)],[409, 408])).
% 1.59/1.76 tff(411,plain,
% 1.59/1.76 ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.59/1.76 inference(unit_resolution,[status(thm)],[410, 232, 95, 286])).
% 1.59/1.76 tff(412,plain,
% 1.59/1.76 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.59/1.76 inference(unit_resolution,[status(thm)],[411, 404, 163, 382])).
% 1.59/1.76 tff(413,assumption,(~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.59/1.76 tff(414,plain,
% 1.59/1.76 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.76 inference(rewrite,[status(thm)],[])).
% 1.59/1.76 tff(415,plain,
% 1.59/1.76 (((~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.76 inference(rewrite,[status(thm)],[])).
% 1.59/1.76 tff(416,plain,
% 1.59/1.76 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.59/1.76 inference(monotonicity,[status(thm)],[415])).
% 1.59/1.76 tff(417,plain,
% 1.59/1.76 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.76 inference(transitivity,[status(thm)],[416, 414])).
% 1.59/1.76 tff(418,plain,
% 1.59/1.76 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.59/1.76 inference(quant_inst,[status(thm)],[])).
% 1.59/1.76 tff(419,plain,
% 1.59/1.76 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.59/1.76 inference(modus_ponens,[status(thm)],[418, 417])).
% 1.59/1.76 tff(420,plain,
% 1.59/1.76 (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.59/1.76 inference(unit_resolution,[status(thm)],[419, 66, 286, 386])).
% 1.59/1.76 tff(421,plain,
% 1.59/1.76 (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.59/1.76 inference(unit_resolution,[status(thm)],[420, 412, 370, 413])).
% 1.59/1.76 tff(422,plain,
% 1.59/1.76 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.76 inference(rewrite,[status(thm)],[])).
% 1.59/1.76 tff(423,plain,
% 1.59/1.76 (((~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.77 inference(rewrite,[status(thm)],[])).
% 1.59/1.77 tff(424,plain,
% 1.59/1.77 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ((~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.59/1.77 inference(monotonicity,[status(thm)],[423])).
% 1.59/1.77 tff(425,plain,
% 1.59/1.77 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ((~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.77 inference(transitivity,[status(thm)],[424, 422])).
% 1.59/1.77 tff(426,plain,
% 1.59/1.77 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ((~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.77 inference(quant_inst,[status(thm)],[])).
% 1.59/1.77 tff(427,plain,
% 1.59/1.77 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.59/1.77 inference(modus_ponens,[status(thm)],[426, 425])).
% 1.59/1.77 tff(428,plain,
% 1.59/1.77 (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.59/1.77 inference(unit_resolution,[status(thm)],[427, 258, 286, 386])).
% 1.59/1.77 tff(429,plain,
% 1.59/1.77 (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.59/1.77 inference(unit_resolution,[status(thm)],[428, 412, 370, 413])).
% 1.59/1.77 tff(430,plain,
% 1.59/1.77 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.77 inference(rewrite,[status(thm)],[])).
% 1.59/1.77 tff(431,plain,
% 1.59/1.77 ((ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) <=> (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.77 inference(rewrite,[status(thm)],[])).
% 1.59/1.77 tff(432,plain,
% 1.59/1.77 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.59/1.77 inference(monotonicity,[status(thm)],[431])).
% 1.59/1.77 tff(433,plain,
% 1.59/1.77 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.77 inference(transitivity,[status(thm)],[432, 430])).
% 1.59/1.77 tff(434,plain,
% 1.59/1.77 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.59/1.77 inference(quant_inst,[status(thm)],[])).
% 1.59/1.77 tff(435,plain,
% 1.59/1.77 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.59/1.77 inference(modus_ponens,[status(thm)],[434, 433])).
% 1.59/1.77 tff(436,plain,
% 1.59/1.77 (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.59/1.77 inference(unit_resolution,[status(thm)],[435, 276, 286, 386])).
% 1.59/1.77 tff(437,plain,
% 1.59/1.77 (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.59/1.77 inference(unit_resolution,[status(thm)],[436, 429, 413, 373])).
% 1.59/1.77 tff(438,plain,
% 1.59/1.77 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.59/1.77 inference(quant_inst,[status(thm)],[])).
% 1.59/1.77 tff(439,plain,
% 1.59/1.77 (ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.59/1.77 inference(unit_resolution,[status(thm)],[438, 14])).
% 1.59/1.77 tff(440,plain,
% 1.59/1.77 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.77 inference(rewrite,[status(thm)],[])).
% 1.59/1.77 tff(441,plain,
% 1.59/1.77 ((ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.77 inference(rewrite,[status(thm)],[])).
% 1.59/1.77 tff(442,plain,
% 1.59/1.77 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.59/1.77 inference(monotonicity,[status(thm)],[441])).
% 1.59/1.77 tff(443,plain,
% 1.59/1.77 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.59/1.77 inference(transitivity,[status(thm)],[442, 440])).
% 1.59/1.77 tff(444,plain,
% 1.59/1.77 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.77 inference(quant_inst,[status(thm)],[])).
% 1.61/1.77 tff(445,plain,
% 1.61/1.77 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.77 inference(modus_ponens,[status(thm)],[444, 443])).
% 1.61/1.77 tff(446,plain,
% 1.61/1.77 ((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.77 inference(unit_resolution,[status(thm)],[445, 84, 386, 439])).
% 1.61/1.77 tff(447,plain,
% 1.61/1.77 (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.77 inference(unit_resolution,[status(thm)],[446, 437, 374, 421])).
% 1.61/1.77 tff(448,plain,
% 1.61/1.77 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.61/1.77 inference(rewrite,[status(thm)],[])).
% 1.61/1.77 tff(449,plain,
% 1.61/1.77 (((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.61/1.77 inference(rewrite,[status(thm)],[])).
% 1.61/1.77 tff(450,plain,
% 1.61/1.77 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))))),
% 1.61/1.77 inference(monotonicity,[status(thm)],[449])).
% 1.61/1.77 tff(451,plain,
% 1.61/1.77 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.61/1.77 inference(transitivity,[status(thm)],[450, 448])).
% 1.61/1.77 tff(452,plain,
% 1.61/1.77 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.77 inference(quant_inst,[status(thm)],[])).
% 1.61/1.77 tff(453,plain,
% 1.61/1.77 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.61/1.77 inference(modus_ponens,[status(thm)],[452, 451])).
% 1.61/1.77 tff(454,plain,
% 1.61/1.77 ((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.61/1.77 inference(unit_resolution,[status(thm)],[453, 304, 386, 439])).
% 1.61/1.77 tff(455,plain,
% 1.61/1.77 (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.77 inference(unit_resolution,[status(thm)],[454, 447, 374, 404])).
% 1.61/1.77 tff(456,plain,
% 1.61/1.77 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.61/1.77 inference(rewrite,[status(thm)],[])).
% 1.61/1.77 tff(457,plain,
% 1.61/1.77 ((ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.61/1.77 inference(rewrite,[status(thm)],[])).
% 1.61/1.77 tff(458,plain,
% 1.61/1.77 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))))),
% 1.61/1.77 inference(monotonicity,[status(thm)],[457])).
% 1.61/1.77 tff(459,plain,
% 1.61/1.77 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.61/1.77 inference(transitivity,[status(thm)],[458, 456])).
% 1.61/1.77 tff(460,plain,
% 1.61/1.77 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.77 inference(quant_inst,[status(thm)],[])).
% 1.61/1.77 tff(461,plain,
% 1.61/1.77 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.61/1.77 inference(modus_ponens,[status(thm)],[460, 459])).
% 1.61/1.77 tff(462,plain,
% 1.61/1.77 (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.61/1.77 inference(unit_resolution,[status(thm)],[461, 322, 386, 439])).
% 1.61/1.77 tff(463,plain,
% 1.61/1.77 ($false),
% 1.61/1.77 inference(unit_resolution,[status(thm)],[462, 455, 447, 404, 412])).
% 1.61/1.77 tff(464,plain,(ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.61/1.77 tff(465,plain,
% 1.61/1.77 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.61/1.77 inference(unit_resolution,[status(thm)],[464, 350, 113, 56, 369, 3, 368])).
% 1.61/1.77 tff(466,plain,
% 1.61/1.77 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X))) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X))))),
% 1.61/1.78 inference(bind,[status(th)],[])).
% 1.61/1.78 tff(467,plain,
% 1.61/1.78 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))),
% 1.61/1.78 inference(quant_intro,[status(thm)],[466])).
% 1.61/1.78 tff(468,plain,
% 1.61/1.78 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(469,plain,
% 1.61/1.78 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv2(V))) <=> ((~ssPv2(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> (((~ssPv2(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv2(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) <=> (((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(X))))), rewrite((((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(X))) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X))))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv2(W))) <=> (((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X))) | (~ssPv2(W))))), rewrite((((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X))) | (~ssPv2(W))) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(X)))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv2(W))) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(X))))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv2(W))) | (~ssPv4(W))) <=> (((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(X))) | (~ssPv4(W))))), rewrite((((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(X))) | (~ssPv4(W))) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv2(W))) | (~ssPv4(W))) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))))),
% 1.61/1.78 inference(bind,[status(th)],[])).
% 1.61/1.78 tff(470,plain,
% 1.61/1.78 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv2(W))) | (~ssPv4(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))),
% 1.61/1.78 inference(quant_intro,[status(thm)],[469])).
% 1.61/1.78 tff(471,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv2(W))) | (~ssPv4(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause19')).
% 1.61/1.78 tff(472,plain,
% 1.61/1.78 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[471, 470])).
% 1.61/1.78 tff(473,plain,
% 1.61/1.78 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[472, 468])).
% 1.61/1.78 tff(474,plain,(
% 1.61/1.78 ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))),
% 1.61/1.78 inference(skolemize,[status(sab)],[473])).
% 1.61/1.78 tff(475,plain,
% 1.61/1.78 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[474, 467])).
% 1.61/1.78 tff(476,plain,
% 1.61/1.78 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(477,plain,
% 1.61/1.78 (((~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(478,plain,
% 1.61/1.78 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.61/1.78 inference(monotonicity,[status(thm)],[477])).
% 1.61/1.78 tff(479,plain,
% 1.61/1.78 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.78 inference(transitivity,[status(thm)],[478, 476])).
% 1.61/1.78 tff(480,plain,
% 1.61/1.78 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(481,plain,
% 1.61/1.78 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[480, 479])).
% 1.61/1.78 tff(482,plain,
% 1.61/1.78 ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[481, 475, 95, 286])).
% 1.61/1.78 tff(483,plain,
% 1.61/1.78 (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[482, 465, 56, 131])).
% 1.61/1.78 tff(484,plain,
% 1.61/1.78 (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[381, 483, 3, 113])).
% 1.61/1.78 tff(485,plain,
% 1.61/1.78 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(486,plain,
% 1.61/1.78 ((ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(487,plain,
% 1.61/1.78 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.61/1.78 inference(monotonicity,[status(thm)],[486])).
% 1.61/1.78 tff(488,plain,
% 1.61/1.78 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.78 inference(transitivity,[status(thm)],[487, 485])).
% 1.61/1.78 tff(489,plain,
% 1.61/1.78 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(490,plain,
% 1.61/1.78 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[489, 488])).
% 1.61/1.78 tff(491,plain,
% 1.61/1.78 (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[490, 46, 95, 286])).
% 1.61/1.78 tff(492,plain,
% 1.61/1.78 ($false),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[491, 484, 483, 3, 113])).
% 1.61/1.78 tff(493,plain,(ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.61/1.78 tff(494,plain,
% 1.61/1.78 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[493, 93, 4, 6, 5])).
% 1.61/1.78 tff(495,plain,
% 1.61/1.78 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X))) <=> (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X))))),
% 1.61/1.78 inference(bind,[status(th)],[])).
% 1.61/1.78 tff(496,plain,
% 1.61/1.78 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))),
% 1.61/1.78 inference(quant_intro,[status(thm)],[495])).
% 1.61/1.78 tff(497,plain,
% 1.61/1.78 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(498,plain,
% 1.61/1.78 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv4(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X))) | (~ssPv4(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X))) | (~ssPv4(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv1(X)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv4(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv1(X))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv4(W))) | ssPv3(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv1(X))) | ssPv3(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv1(X))) | ssPv3(V)) <=> (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv1(X)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv4(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv1(X))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv4(W))) | ssPv3(V)) | ssPv3(W)) <=> ((ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv1(X))) | ssPv3(W)))), rewrite(((ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv1(X))) | ssPv3(W)) <=> (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv4(W))) | ssPv3(V)) | ssPv3(W)) <=> (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))))),
% 1.61/1.78 inference(bind,[status(th)],[])).
% 1.61/1.78 tff(499,plain,
% 1.61/1.78 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv4(W))) | ssPv3(V)) | ssPv3(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))),
% 1.61/1.78 inference(quant_intro,[status(thm)],[498])).
% 1.61/1.78 tff(500,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv4(W))) | ssPv3(V)) | ssPv3(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause15')).
% 1.61/1.78 tff(501,plain,
% 1.61/1.78 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[500, 499])).
% 1.61/1.78 tff(502,plain,
% 1.61/1.78 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[501, 497])).
% 1.61/1.78 tff(503,plain,(
% 1.61/1.78 ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))),
% 1.61/1.78 inference(skolemize,[status(sab)],[502])).
% 1.61/1.78 tff(504,plain,
% 1.61/1.78 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[503, 496])).
% 1.61/1.78 tff(505,plain,
% 1.61/1.78 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(506,plain,
% 1.61/1.78 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))) <=> (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(507,plain,
% 1.61/1.78 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.78 inference(monotonicity,[status(thm)],[506])).
% 1.61/1.78 tff(508,plain,
% 1.61/1.78 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.78 inference(transitivity,[status(thm)],[507, 505])).
% 1.61/1.78 tff(509,plain,
% 1.61/1.78 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(510,plain,
% 1.61/1.78 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[509, 508])).
% 1.61/1.78 tff(511,plain,
% 1.61/1.78 (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[510, 504, 16, 95])).
% 1.61/1.78 tff(512,plain,
% 1.61/1.78 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[511, 494, 5, 332])).
% 1.61/1.78 tff(513,plain,
% 1.61/1.78 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[265, 512, 5, 93])).
% 1.61/1.78 tff(514,plain,
% 1.61/1.78 (~ssPv2(skf1(elem!0))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[239, 513, 494, 56])).
% 1.61/1.78 tff(515,plain,
% 1.61/1.78 (~ssPv1(elem!0)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[150, 93, 5, 4])).
% 1.61/1.78 tff(516,plain,
% 1.61/1.78 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) <=> (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)))),
% 1.61/1.78 inference(bind,[status(th)],[])).
% 1.61/1.78 tff(517,plain,
% 1.61/1.78 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.61/1.78 inference(quant_intro,[status(thm)],[516])).
% 1.61/1.78 tff(518,plain,
% 1.61/1.78 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(519,plain,
% 1.61/1.78 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv2(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(V)) <=> (ssPv2(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv2(V)) <=> (ssPv2(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv2(V)) | ssPv1(X)) <=> ((ssPv2(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(X)))), rewrite(((ssPv2(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(X)) <=> (ssPv2(V) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv2(V)) | ssPv1(X)) <=> (ssPv2(V) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv2(V)) | ssPv1(X)) | ssPv1(W)) <=> ((ssPv2(V) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)))), rewrite(((ssPv2(V) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)) <=> (ssPv2(V) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv2(V)) | ssPv1(X)) | ssPv1(W)) <=> (ssPv2(V) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv2(V)) | ssPv1(X)) | ssPv1(W)) | ssPv4(W)) <=> ((ssPv2(V) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) | ssPv4(W)))), rewrite(((ssPv2(V) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) | ssPv4(W)) <=> (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv2(V)) | ssPv1(X)) | ssPv1(W)) | ssPv4(W)) <=> (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))))),
% 1.61/1.78 inference(bind,[status(th)],[])).
% 1.61/1.78 tff(520,plain,
% 1.61/1.78 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv2(V)) | ssPv1(X)) | ssPv1(W)) | ssPv4(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.61/1.78 inference(quant_intro,[status(thm)],[519])).
% 1.61/1.78 tff(521,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv2(V)) | ssPv1(X)) | ssPv1(W)) | ssPv4(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause6')).
% 1.61/1.78 tff(522,plain,
% 1.61/1.78 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[521, 520])).
% 1.61/1.78 tff(523,plain,
% 1.61/1.78 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[522, 518])).
% 1.61/1.78 tff(524,plain,(
% 1.61/1.78 ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.61/1.78 inference(skolemize,[status(sab)],[523])).
% 1.61/1.78 tff(525,plain,
% 1.61/1.78 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[524, 517])).
% 1.61/1.78 tff(526,plain,
% 1.61/1.78 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(527,plain,
% 1.61/1.78 ((ssPv2(skf1(skf1(elem!0))) | ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0)) <=> (ssPv1(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(528,plain,
% 1.61/1.78 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.61/1.79 inference(monotonicity,[status(thm)],[527])).
% 1.61/1.79 tff(529,plain,
% 1.61/1.79 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.61/1.79 inference(transitivity,[status(thm)],[528, 526])).
% 1.61/1.79 tff(530,plain,
% 1.61/1.79 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(531,plain,
% 1.61/1.79 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[530, 529])).
% 1.61/1.79 tff(532,plain,
% 1.61/1.79 (ssPv1(elem!0) | ssPv4(elem!0) | ssPv1(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0)))),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[531, 525, 133, 18])).
% 1.61/1.79 tff(533,plain,
% 1.61/1.79 (ssPv4(elem!0)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[532, 515, 6, 4])).
% 1.61/1.79 tff(534,plain,
% 1.61/1.79 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv2(elem!0) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv2(elem!0) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(535,plain,
% 1.61/1.79 ((ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0)) <=> (ssPv2(elem!0) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(536,plain,
% 1.61/1.79 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv2(elem!0) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0))))))),
% 1.61/1.79 inference(monotonicity,[status(thm)],[535])).
% 1.61/1.79 tff(537,plain,
% 1.61/1.79 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv2(elem!0) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.61/1.79 inference(transitivity,[status(thm)],[536, 534])).
% 1.61/1.79 tff(538,plain,
% 1.61/1.79 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(539,plain,
% 1.61/1.79 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv2(elem!0) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0))))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[538, 537])).
% 1.61/1.79 tff(540,plain,
% 1.61/1.79 (ssPv2(elem!0) | ssPv1(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0))))),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[539, 276, 133, 18])).
% 1.61/1.79 tff(541,plain,
% 1.61/1.79 (ssPv2(elem!0)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[540, 332, 515, 5])).
% 1.61/1.79 tff(542,plain,
% 1.61/1.79 (^[W: $i, V: $i, U: $i] : refl((ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.61/1.79 inference(bind,[status(th)],[])).
% 1.61/1.79 tff(543,plain,
% 1.61/1.79 (![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.61/1.79 inference(quant_intro,[status(thm)],[542])).
% 1.61/1.79 tff(544,plain,
% 1.61/1.79 (![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(545,plain,
% 1.61/1.79 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssPv2(W))) <=> ((~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssPv2(W))) | (~ssPv4(W))) <=> (((~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(W))))), rewrite((((~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(W))) <=> ((~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssPv2(W))) | (~ssPv4(W))) <=> ((~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssPv2(W))) | (~ssPv4(W))) | ssPv3(V)) <=> (((~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(V)))), rewrite((((~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(V)) <=> (ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssPv2(W))) | (~ssPv4(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssPv2(W))) | (~ssPv4(W))) | ssPv3(V)) | ssPv3(W)) <=> ((ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)))), rewrite(((ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)) <=> (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssPv2(W))) | (~ssPv4(W))) | ssPv3(V)) | ssPv3(W)) <=> (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.61/1.79 inference(bind,[status(th)],[])).
% 1.61/1.79 tff(546,plain,
% 1.61/1.79 (![W: $i, V: $i, U: $i] : ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssPv2(W))) | (~ssPv4(W))) | ssPv3(V)) | ssPv3(W)) <=> ![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.61/1.79 inference(quant_intro,[status(thm)],[545])).
% 1.61/1.79 tff(547,axiom,(![W: $i, V: $i, U: $i] : ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssPv2(W))) | (~ssPv4(W))) | ssPv3(V)) | ssPv3(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause2')).
% 1.61/1.79 tff(548,plain,
% 1.61/1.79 (![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[547, 546])).
% 1.61/1.79 tff(549,plain,
% 1.61/1.79 (![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[548, 544])).
% 1.61/1.79 tff(550,plain,(
% 1.61/1.79 ![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.61/1.79 inference(skolemize,[status(sab)],[549])).
% 1.61/1.79 tff(551,plain,
% 1.61/1.79 (![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[550, 543])).
% 1.61/1.79 tff(552,plain,
% 1.61/1.79 (((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv2(elem!0)) | ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv2(elem!0)) | ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(553,plain,
% 1.61/1.79 ((ssPv3(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv2(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> ((~ssPv2(elem!0)) | ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(554,plain,
% 1.61/1.79 (((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv2(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv2(elem!0)) | ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.61/1.79 inference(monotonicity,[status(thm)],[553])).
% 1.61/1.79 tff(555,plain,
% 1.61/1.79 (((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv2(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv2(elem!0)) | ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.61/1.79 inference(transitivity,[status(thm)],[554, 552])).
% 1.61/1.79 tff(556,plain,
% 1.61/1.79 ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv2(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(557,plain,
% 1.61/1.79 ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv2(elem!0)) | ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[556, 555])).
% 1.61/1.79 tff(558,plain,
% 1.61/1.79 ((~ssPv2(elem!0)) | ssPv3(elem!0) | (~ssPv4(elem!0)) | ssPv3(skf1(skf1(elem!0)))),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[557, 551, 133, 18])).
% 1.61/1.79 tff(559,plain,
% 1.61/1.79 (ssPv3(elem!0)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[558, 541, 5, 533])).
% 1.61/1.79 tff(560,plain,
% 1.61/1.79 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | ((~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(elem!0)) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(elem!0)) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(561,plain,
% 1.61/1.79 ((ssPv2(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(elem!0))) <=> ((~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(elem!0)) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(562,plain,
% 1.61/1.79 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (ssPv2(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | ((~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(elem!0)) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.61/1.79 inference(monotonicity,[status(thm)],[561])).
% 1.61/1.79 tff(563,plain,
% 1.61/1.79 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (ssPv2(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(elem!0)) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.61/1.79 inference(transitivity,[status(thm)],[562, 560])).
% 1.61/1.79 tff(564,plain,
% 1.61/1.79 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (ssPv2(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(elem!0)))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(565,plain,
% 1.61/1.79 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(elem!0)) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[564, 563])).
% 1.61/1.79 tff(566,plain,
% 1.61/1.79 ((~ssPv3(elem!0)) | ssPv2(skf1(elem!0)) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0)))),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[565, 84, 133, 18])).
% 1.61/1.79 tff(567,plain,
% 1.61/1.79 (ssPv4(skf1(elem!0))),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[566, 514, 559, 5])).
% 1.61/1.79 tff(568,plain,
% 1.61/1.79 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(569,plain,
% 1.61/1.79 (((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(elem!0)))) <=> (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(570,plain,
% 1.61/1.79 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.79 inference(monotonicity,[status(thm)],[569])).
% 1.61/1.79 tff(571,plain,
% 1.61/1.79 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.79 inference(transitivity,[status(thm)],[570, 568])).
% 1.61/1.79 tff(572,plain,
% 1.61/1.79 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(elem!0))))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(573,plain,
% 1.61/1.79 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[572, 571])).
% 1.61/1.79 tff(574,plain,
% 1.61/1.79 (ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[573, 342, 18, 16])).
% 1.61/1.79 tff(575,plain,
% 1.61/1.79 ($false),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[574, 567, 514, 93, 494])).
% 1.61/1.79 tff(576,plain,(ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.61/1.79 tff(577,plain,
% 1.61/1.79 (ssPv1(skf1(skf1(elem!0)))),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[576, 4, 5, 6])).
% 1.61/1.79 tff(578,assumption,(ssPv1(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.61/1.79 tff(579,plain,
% 1.61/1.79 (ssPv4(skf1(skf1(elem!0)))),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[221, 3, 163, 4])).
% 1.61/1.79 tff(580,plain,
% 1.61/1.79 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[349, 3, 4, 579])).
% 1.61/1.79 tff(581,plain,
% 1.61/1.79 (^[W: $i, V: $i, U: $i] : refl(((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V))) <=> ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V))))),
% 1.61/1.79 inference(bind,[status(th)],[])).
% 1.61/1.79 tff(582,plain,
% 1.61/1.79 (![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V))) <=> ![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))),
% 1.61/1.79 inference(quant_intro,[status(thm)],[581])).
% 1.61/1.79 tff(583,plain,
% 1.61/1.79 (![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V))) <=> ![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(584,plain,
% 1.61/1.79 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv2(V))) <=> ((~ssRr(U, V)) | (~ssPv2(V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> (((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))))), rewrite((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssPv1(W))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv1(W))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv1(W))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssPv1(W))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V))))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssPv1(W))) | (~ssPv4(W))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V))) | (~ssPv4(W))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V))) | (~ssPv4(W))) <=> ((~ssPv4(W)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssPv1(W))) | (~ssPv4(W))) <=> ((~ssPv4(W)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V))))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv2(W)) <=> (((~ssPv4(W)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V))) | ssPv2(W)))), rewrite((((~ssPv4(W)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V))) | ssPv2(W)) <=> ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv2(W)) <=> ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))))),
% 1.61/1.79 inference(bind,[status(th)],[])).
% 1.61/1.79 tff(585,plain,
% 1.61/1.79 (![W: $i, V: $i, U: $i] : ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv2(W)) <=> ![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))),
% 1.61/1.79 inference(quant_intro,[status(thm)],[584])).
% 1.61/1.79 tff(586,axiom,(![W: $i, V: $i, U: $i] : ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv2(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause3')).
% 1.61/1.79 tff(587,plain,
% 1.61/1.79 (![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[586, 585])).
% 1.61/1.79 tff(588,plain,
% 1.61/1.79 (![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[587, 583])).
% 1.61/1.79 tff(589,plain,(
% 1.61/1.79 ![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))),
% 1.61/1.79 inference(skolemize,[status(sab)],[588])).
% 1.61/1.79 tff(590,plain,
% 1.61/1.79 (![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[589, 582])).
% 1.61/1.79 tff(591,plain,
% 1.61/1.79 (((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(592,plain,
% 1.61/1.79 (((~ssPv4(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(593,plain,
% 1.61/1.79 (((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ((~ssPv4(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.79 inference(monotonicity,[status(thm)],[592])).
% 1.61/1.79 tff(594,plain,
% 1.61/1.79 (((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ((~ssPv4(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.79 inference(transitivity,[status(thm)],[593, 591])).
% 1.61/1.79 tff(595,plain,
% 1.61/1.79 ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ((~ssPv4(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(596,plain,
% 1.61/1.79 ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[595, 594])).
% 1.61/1.79 tff(597,plain,
% 1.61/1.79 (ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[596, 590, 16, 95])).
% 1.61/1.79 tff(598,plain,
% 1.61/1.79 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[597, 579, 4, 578])).
% 1.61/1.79 tff(599,plain,
% 1.61/1.79 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(600,plain,
% 1.61/1.79 ((ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(601,plain,
% 1.61/1.79 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.79 inference(monotonicity,[status(thm)],[600])).
% 1.61/1.79 tff(602,plain,
% 1.61/1.79 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.79 inference(transitivity,[status(thm)],[601, 599])).
% 1.61/1.79 tff(603,plain,
% 1.61/1.79 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(604,plain,
% 1.61/1.79 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[603, 602])).
% 1.61/1.79 tff(605,plain,
% 1.61/1.79 ((~ssPv1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[604, 143, 16, 95])).
% 1.61/1.79 tff(606,plain,
% 1.61/1.79 ($false),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[605, 598, 580, 578, 202])).
% 1.61/1.79 tff(607,plain,(ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.61/1.79 tff(608,plain,
% 1.61/1.79 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[607, 577, 4, 56])).
% 1.61/1.79 tff(609,plain,
% 1.61/1.79 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X))) <=> (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X))))),
% 1.61/1.79 inference(bind,[status(th)],[])).
% 1.61/1.79 tff(610,plain,
% 1.61/1.79 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))),
% 1.61/1.80 inference(quant_intro,[status(thm)],[609])).
% 1.61/1.80 tff(611,plain,
% 1.61/1.80 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(612,plain,
% 1.61/1.80 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv1(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X))) | (~ssPv1(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X))) | (~ssPv1(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv1(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv1(W))) | ssPv3(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X))) | ssPv3(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X))) | ssPv3(V)) <=> (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv1(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv4(W)) <=> ((ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X))) | ssPv4(W)))), rewrite(((ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X))) | ssPv4(W)) <=> (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv4(W)) <=> (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))))),
% 1.61/1.80 inference(bind,[status(th)],[])).
% 1.61/1.80 tff(613,plain,
% 1.61/1.80 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv4(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))),
% 1.61/1.80 inference(quant_intro,[status(thm)],[612])).
% 1.61/1.80 tff(614,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv4(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause13')).
% 1.61/1.80 tff(615,plain,
% 1.61/1.80 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[614, 613])).
% 1.61/1.80 tff(616,plain,
% 1.61/1.80 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[615, 611])).
% 1.61/1.80 tff(617,plain,(
% 1.61/1.80 ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))),
% 1.61/1.80 inference(skolemize,[status(sab)],[616])).
% 1.61/1.80 tff(618,plain,
% 1.61/1.80 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[617, 610])).
% 1.61/1.80 tff(619,plain,
% 1.61/1.80 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(620,plain,
% 1.61/1.80 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(621,plain,
% 1.61/1.80 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.80 inference(monotonicity,[status(thm)],[620])).
% 1.61/1.80 tff(622,plain,
% 1.61/1.80 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.80 inference(transitivity,[status(thm)],[621, 619])).
% 1.61/1.80 tff(623,plain,
% 1.61/1.80 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.80 inference(quant_inst,[status(thm)],[])).
% 1.61/1.80 tff(624,plain,
% 1.61/1.80 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[623, 622])).
% 1.61/1.80 tff(625,plain,
% 1.61/1.80 (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[624, 618, 16, 95])).
% 1.61/1.80 tff(626,plain,
% 1.61/1.80 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[625, 7, 577, 608])).
% 1.61/1.80 tff(627,plain,
% 1.61/1.80 (ssPv2(skf1(elem!0))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[200, 7, 56, 4])).
% 1.61/1.80 tff(628,plain,
% 1.61/1.80 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[239, 627, 608, 56])).
% 1.61/1.80 tff(629,plain,
% 1.61/1.80 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X))) <=> ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X))))),
% 1.61/1.80 inference(bind,[status(th)],[])).
% 1.61/1.80 tff(630,plain,
% 1.61/1.80 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))),
% 1.61/1.80 inference(quant_intro,[status(thm)],[629])).
% 1.61/1.80 tff(631,plain,
% 1.61/1.80 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(632,plain,
% 1.61/1.80 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv4(V))) <=> ((~ssPv4(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> (((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(X))))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv2(W))) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))) | (~ssPv2(W))))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))) | (~ssPv2(W))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv2(W))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X))))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv2(W))) | ssPv4(W)) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X))) | ssPv4(W)))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X))) | ssPv4(W)) <=> ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv2(W))) | ssPv4(W)) <=> ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))))),
% 1.61/1.80 inference(bind,[status(th)],[])).
% 1.61/1.80 tff(633,plain,
% 1.61/1.80 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv2(W))) | ssPv4(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))),
% 1.61/1.80 inference(quant_intro,[status(thm)],[632])).
% 1.61/1.80 tff(634,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv2(W))) | ssPv4(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause17')).
% 1.61/1.80 tff(635,plain,
% 1.61/1.80 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[634, 633])).
% 1.61/1.80 tff(636,plain,
% 1.61/1.80 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[635, 631])).
% 1.61/1.80 tff(637,plain,(
% 1.61/1.80 ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))),
% 1.61/1.80 inference(skolemize,[status(sab)],[636])).
% 1.61/1.80 tff(638,plain,
% 1.61/1.80 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[637, 630])).
% 1.61/1.80 tff(639,plain,
% 1.61/1.80 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(640,plain,
% 1.61/1.80 (((~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(641,plain,
% 1.61/1.80 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ((~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.61/1.80 inference(monotonicity,[status(thm)],[640])).
% 1.61/1.80 tff(642,plain,
% 1.61/1.80 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ((~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.80 inference(transitivity,[status(thm)],[641, 639])).
% 1.61/1.80 tff(643,plain,
% 1.61/1.80 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ((~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.80 inference(quant_inst,[status(thm)],[])).
% 1.61/1.80 tff(644,plain,
% 1.61/1.80 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[643, 642])).
% 1.61/1.80 tff(645,plain,
% 1.61/1.80 (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[644, 638, 95, 286])).
% 1.61/1.80 tff(646,plain,
% 1.61/1.80 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[645, 628, 56, 626])).
% 1.61/1.80 tff(647,plain,
% 1.61/1.80 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W)) <=> (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W)))),
% 1.61/1.80 inference(bind,[status(th)],[])).
% 1.61/1.80 tff(648,plain,
% 1.61/1.80 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))),
% 1.61/1.80 inference(quant_intro,[status(thm)],[647])).
% 1.61/1.80 tff(649,plain,
% 1.61/1.80 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(650,plain,
% 1.61/1.80 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssPv3(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(Y)) <=> (((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Y)))), rewrite((((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(Y)) | ssPv3(W)) <=> ((ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)))), rewrite(((ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)) <=> (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(Y)) | ssPv3(W)) <=> (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(Y)) | ssPv3(W)) | ssPv4(W)) <=> ((ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W)) | ssPv4(W)))), rewrite(((ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W)) | ssPv4(W)) <=> (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(Y)) | ssPv3(W)) | ssPv4(W)) <=> (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))))),
% 1.61/1.80 inference(bind,[status(th)],[])).
% 1.61/1.80 tff(651,plain,
% 1.61/1.80 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(Y)) | ssPv3(W)) | ssPv4(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))),
% 1.61/1.80 inference(quant_intro,[status(thm)],[650])).
% 1.61/1.80 tff(652,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(Y)) | ssPv3(W)) | ssPv4(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause24')).
% 1.61/1.80 tff(653,plain,
% 1.61/1.80 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[652, 651])).
% 1.61/1.80 tff(654,plain,
% 1.61/1.80 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[653, 649])).
% 1.61/1.80 tff(655,plain,(
% 1.61/1.80 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))),
% 1.61/1.80 inference(skolemize,[status(sab)],[654])).
% 1.61/1.80 tff(656,plain,
% 1.61/1.80 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[655, 648])).
% 1.61/1.80 tff(657,plain,
% 1.61/1.80 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | (ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(658,plain,
% 1.61/1.80 ((ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(elem!0)))) <=> (ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(659,plain,
% 1.61/1.80 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | (ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.80 inference(monotonicity,[status(thm)],[658])).
% 1.61/1.80 tff(660,plain,
% 1.61/1.80 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.80 inference(transitivity,[status(thm)],[659, 657])).
% 1.61/1.80 tff(661,plain,
% 1.61/1.80 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(elem!0))))),
% 1.61/1.80 inference(quant_inst,[status(thm)],[])).
% 1.61/1.80 tff(662,plain,
% 1.61/1.80 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[661, 660])).
% 1.61/1.80 tff(663,plain,
% 1.61/1.80 (ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[662, 656, 16, 95])).
% 1.61/1.80 tff(664,plain,
% 1.61/1.80 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[663, 626, 5, 7])).
% 1.61/1.80 tff(665,plain,
% 1.61/1.80 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))) <=> (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))))),
% 1.61/1.80 inference(bind,[status(th)],[])).
% 1.61/1.80 tff(666,plain,
% 1.61/1.80 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))),
% 1.61/1.80 inference(quant_intro,[status(thm)],[665])).
% 1.61/1.80 tff(667,plain,
% 1.61/1.80 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(668,plain,
% 1.61/1.80 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X))) | (~ssPv3(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) | ssPv2(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))) | ssPv2(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))) | ssPv2(V)) <=> (ssPv2(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) | ssPv2(V)) <=> (ssPv2(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv4(W)) <=> ((ssPv2(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))) | ssPv4(W)))), rewrite(((ssPv2(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))) | ssPv4(W)) <=> (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv4(W)) <=> (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))))),
% 1.61/1.80 inference(bind,[status(th)],[])).
% 1.61/1.80 tff(669,plain,
% 1.61/1.80 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv4(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))),
% 1.61/1.80 inference(quant_intro,[status(thm)],[668])).
% 1.61/1.80 tff(670,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv4(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause12')).
% 1.61/1.80 tff(671,plain,
% 1.61/1.80 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[670, 669])).
% 1.61/1.80 tff(672,plain,
% 1.61/1.80 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[671, 667])).
% 1.61/1.80 tff(673,plain,(
% 1.61/1.80 ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))),
% 1.61/1.80 inference(skolemize,[status(sab)],[672])).
% 1.61/1.80 tff(674,plain,
% 1.61/1.80 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[673, 666])).
% 1.61/1.80 tff(675,plain,
% 1.61/1.80 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(676,plain,
% 1.61/1.80 ((ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(677,plain,
% 1.61/1.80 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.61/1.80 inference(monotonicity,[status(thm)],[676])).
% 1.61/1.80 tff(678,plain,
% 1.61/1.80 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.80 inference(transitivity,[status(thm)],[677, 675])).
% 1.61/1.80 tff(679,plain,
% 1.61/1.80 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.80 inference(quant_inst,[status(thm)],[])).
% 1.61/1.80 tff(680,plain,
% 1.61/1.80 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[679, 678])).
% 1.61/1.80 tff(681,plain,
% 1.61/1.80 (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[680, 674, 95, 286])).
% 1.61/1.80 tff(682,plain,
% 1.61/1.80 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[681, 664, 628, 92])).
% 1.61/1.80 tff(683,plain,
% 1.61/1.80 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W))) <=> (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W))))),
% 1.61/1.81 inference(bind,[status(th)],[])).
% 1.61/1.81 tff(684,plain,
% 1.61/1.81 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))),
% 1.61/1.81 inference(quant_intro,[status(thm)],[683])).
% 1.61/1.81 tff(685,plain,
% 1.61/1.81 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(686,plain,
% 1.61/1.81 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv2(V))) <=> ((~ssRr(U, V)) | (~ssPv2(V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> (((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))))), rewrite((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(X, Y))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) <=> (((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv3(Z))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv3(Z))) <=> ((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) <=> ((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv3(W))) <=> (((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv3(W))))), rewrite((((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv3(W))) <=> ((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv3(W))) <=> ((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W))))), ((((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv3(W))) | ssPv4(Y)) <=> (((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W))) | ssPv4(Y)))), rewrite((((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))), ((((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv3(W))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))))),
% 1.61/1.81 inference(bind,[status(th)],[])).
% 1.61/1.81 tff(687,plain,
% 1.61/1.81 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv3(W))) | ssPv4(Y)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))),
% 1.61/1.81 inference(quant_intro,[status(thm)],[686])).
% 1.61/1.81 tff(688,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv3(W))) | ssPv4(Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause47')).
% 1.61/1.81 tff(689,plain,
% 1.61/1.81 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[688, 687])).
% 1.61/1.81 tff(690,plain,
% 1.61/1.81 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[689, 685])).
% 1.61/1.81 tff(691,plain,(
% 1.61/1.81 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))),
% 1.61/1.81 inference(skolemize,[status(sab)],[690])).
% 1.61/1.81 tff(692,plain,
% 1.61/1.81 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[691, 684])).
% 1.61/1.81 tff(693,plain,
% 1.61/1.81 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(694,plain,
% 1.61/1.81 ((ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(695,plain,
% 1.61/1.81 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.81 inference(monotonicity,[status(thm)],[694])).
% 1.61/1.81 tff(696,plain,
% 1.61/1.81 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.81 inference(transitivity,[status(thm)],[695, 693])).
% 1.61/1.81 tff(697,plain,
% 1.61/1.81 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.81 inference(quant_inst,[status(thm)],[])).
% 1.61/1.81 tff(698,plain,
% 1.61/1.81 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[697, 696])).
% 1.61/1.81 tff(699,plain,
% 1.61/1.81 ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[698, 692, 95, 286])).
% 1.61/1.81 tff(700,plain,
% 1.61/1.81 ($false),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[699, 682, 646, 626, 92])).
% 1.61/1.81 tff(701,plain,(ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.61/1.81 tff(702,plain,
% 1.61/1.81 (ssPv4(skf1(skf1(elem!0)))),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[701, 4, 5, 6])).
% 1.61/1.81 tff(703,plain,
% 1.61/1.81 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[597, 702, 4, 577])).
% 1.61/1.81 tff(704,plain,
% 1.61/1.81 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W))) <=> (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W))))),
% 1.61/1.81 inference(bind,[status(th)],[])).
% 1.61/1.81 tff(705,plain,
% 1.61/1.81 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))),
% 1.61/1.81 inference(quant_intro,[status(thm)],[704])).
% 1.61/1.81 tff(706,plain,
% 1.61/1.81 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(707,plain,
% 1.61/1.81 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv4(V))) <=> ((~ssPv4(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> (((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | (~ssPv4(W))))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | (~ssPv4(W))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W))))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv2(Y)) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W))) | ssPv2(Y)))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W))) | ssPv2(Y)) <=> (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv2(Y)) <=> (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))))),
% 1.61/1.81 inference(bind,[status(th)],[])).
% 1.61/1.81 tff(708,plain,
% 1.61/1.81 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv2(Y)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))),
% 1.61/1.81 inference(quant_intro,[status(thm)],[707])).
% 1.61/1.81 tff(709,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv2(Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause35')).
% 1.61/1.81 tff(710,plain,
% 1.61/1.81 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[709, 708])).
% 1.61/1.81 tff(711,plain,
% 1.61/1.81 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[710, 706])).
% 1.61/1.81 tff(712,plain,(
% 1.61/1.81 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))),
% 1.61/1.81 inference(skolemize,[status(sab)],[711])).
% 1.61/1.81 tff(713,plain,
% 1.61/1.81 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[712, 705])).
% 1.61/1.81 tff(714,plain,
% 1.61/1.81 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(715,plain,
% 1.61/1.81 ((ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0))))) <=> ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(716,plain,
% 1.61/1.81 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.81 inference(monotonicity,[status(thm)],[715])).
% 1.61/1.81 tff(717,plain,
% 1.61/1.81 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.81 inference(transitivity,[status(thm)],[716, 714])).
% 1.61/1.81 tff(718,plain,
% 1.61/1.81 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.65/1.81 inference(quant_inst,[status(thm)],[])).
% 1.65/1.81 tff(719,plain,
% 1.65/1.81 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.81 inference(modus_ponens,[status(thm)],[718, 717])).
% 1.65/1.81 tff(720,plain,
% 1.65/1.81 ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[719, 713, 16, 95])).
% 1.65/1.81 tff(721,plain,
% 1.65/1.81 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[720, 703, 577, 702])).
% 1.65/1.81 tff(722,plain,
% 1.65/1.81 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W))) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W))))),
% 1.65/1.81 inference(bind,[status(th)],[])).
% 1.65/1.81 tff(723,plain,
% 1.65/1.81 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))),
% 1.65/1.81 inference(quant_intro,[status(thm)],[722])).
% 1.65/1.81 tff(724,plain,
% 1.65/1.81 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))),
% 1.65/1.81 inference(rewrite,[status(thm)],[])).
% 1.65/1.81 tff(725,plain,
% 1.65/1.81 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | (~ssPv4(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | (~ssPv4(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv1(W)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv1(W))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv4(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv1(W))) | ssPv4(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv1(W))) | ssPv4(V)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv1(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv4(V)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv1(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv4(V)) | ssPv3(X)) <=> ((ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv1(W))) | ssPv3(X)))), rewrite(((ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv1(W))) | ssPv3(X)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv4(V)) | ssPv3(X)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))))),
% 1.65/1.81 inference(bind,[status(th)],[])).
% 1.65/1.81 tff(726,plain,
% 1.65/1.81 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv4(V)) | ssPv3(X)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))),
% 1.65/1.81 inference(quant_intro,[status(thm)],[725])).
% 1.65/1.81 tff(727,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv4(V)) | ssPv3(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause11')).
% 1.65/1.81 tff(728,plain,
% 1.65/1.81 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))),
% 1.65/1.81 inference(modus_ponens,[status(thm)],[727, 726])).
% 1.65/1.81 tff(729,plain,
% 1.65/1.81 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))),
% 1.65/1.81 inference(modus_ponens,[status(thm)],[728, 724])).
% 1.65/1.81 tff(730,plain,(
% 1.65/1.81 ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))),
% 1.65/1.81 inference(skolemize,[status(sab)],[729])).
% 1.65/1.81 tff(731,plain,
% 1.65/1.81 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))),
% 1.65/1.81 inference(modus_ponens,[status(thm)],[730, 723])).
% 1.65/1.81 tff(732,plain,
% 1.65/1.81 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.81 inference(rewrite,[status(thm)],[])).
% 1.65/1.81 tff(733,plain,
% 1.65/1.81 ((ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0))))) <=> ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.81 inference(rewrite,[status(thm)],[])).
% 1.65/1.81 tff(734,plain,
% 1.65/1.81 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.65/1.81 inference(monotonicity,[status(thm)],[733])).
% 1.65/1.81 tff(735,plain,
% 1.65/1.81 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.81 inference(transitivity,[status(thm)],[734, 732])).
% 1.65/1.81 tff(736,plain,
% 1.65/1.81 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.65/1.81 inference(quant_inst,[status(thm)],[])).
% 1.65/1.81 tff(737,plain,
% 1.65/1.81 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.65/1.81 inference(modus_ponens,[status(thm)],[736, 735])).
% 1.65/1.81 tff(738,plain,
% 1.65/1.81 ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[737, 731, 16, 95])).
% 1.65/1.81 tff(739,plain,
% 1.65/1.81 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[738, 721, 577, 702])).
% 1.65/1.81 tff(740,plain,
% 1.65/1.81 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[511, 702, 5, 608])).
% 1.65/1.81 tff(741,plain,
% 1.65/1.81 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)) <=> (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)))),
% 1.65/1.81 inference(bind,[status(th)],[])).
% 1.65/1.81 tff(742,plain,
% 1.65/1.81 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.65/1.81 inference(quant_intro,[status(thm)],[741])).
% 1.65/1.81 tff(743,plain,
% 1.65/1.81 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.65/1.81 inference(rewrite,[status(thm)],[])).
% 1.65/1.81 tff(744,plain,
% 1.65/1.81 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssPv3(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv2(Z))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(Z))) <=> ((~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv2(Z))) <=> ((~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv2(Z))) | ssPv1(Y)) <=> (((~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Y)))), rewrite((((~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv2(Z))) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv2(Z))) | ssPv1(Y)) | ssPv2(W)) <=> ((ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)))), rewrite(((ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)) <=> (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv2(Z))) | ssPv1(Y)) | ssPv2(W)) <=> (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))))),
% 1.65/1.82 inference(bind,[status(th)],[])).
% 1.65/1.82 tff(745,plain,
% 1.65/1.82 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv2(Z))) | ssPv1(Y)) | ssPv2(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.65/1.82 inference(quant_intro,[status(thm)],[744])).
% 1.65/1.82 tff(746,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv2(Z))) | ssPv1(Y)) | ssPv2(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause42')).
% 1.65/1.82 tff(747,plain,
% 1.65/1.82 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[746, 745])).
% 1.65/1.82 tff(748,plain,
% 1.65/1.82 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[747, 743])).
% 1.65/1.82 tff(749,plain,(
% 1.65/1.82 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.65/1.82 inference(skolemize,[status(sab)],[748])).
% 1.65/1.82 tff(750,plain,
% 1.65/1.82 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[749, 742])).
% 1.65/1.82 tff(751,plain,
% 1.65/1.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(752,plain,
% 1.65/1.82 ((ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0)))) <=> (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(753,plain,
% 1.65/1.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.65/1.82 inference(monotonicity,[status(thm)],[752])).
% 1.65/1.82 tff(754,plain,
% 1.65/1.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.65/1.82 inference(transitivity,[status(thm)],[753, 751])).
% 1.65/1.82 tff(755,plain,
% 1.65/1.82 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))))),
% 1.65/1.82 inference(quant_inst,[status(thm)],[])).
% 1.65/1.82 tff(756,plain,
% 1.65/1.82 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[755, 754])).
% 1.65/1.82 tff(757,plain,
% 1.65/1.82 (ssPv2(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[756, 750, 16, 95])).
% 1.65/1.82 tff(758,plain,
% 1.65/1.82 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[757, 740, 4, 56])).
% 1.65/1.82 tff(759,plain,
% 1.65/1.82 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) <=> (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))),
% 1.65/1.82 inference(bind,[status(th)],[])).
% 1.65/1.82 tff(760,plain,
% 1.65/1.82 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.65/1.82 inference(quant_intro,[status(thm)],[759])).
% 1.65/1.82 tff(761,plain,
% 1.65/1.82 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(762,plain,
% 1.65/1.82 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv1(V))) <=> ((~ssPv1(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> (((~ssPv1(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv1(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> ((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) <=> (((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(Z))) <=> ((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) <=> ((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv1(W))) <=> (((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))))), rewrite((((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))) <=> ((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv1(W))) <=> ((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))), ((((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv1(W))) | ssPv4(Y)) <=> (((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv4(Y)))), rewrite((((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), ((((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv1(W))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))))),
% 1.65/1.82 inference(bind,[status(th)],[])).
% 1.65/1.82 tff(763,plain,
% 1.65/1.82 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv1(W))) | ssPv4(Y)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.65/1.82 inference(quant_intro,[status(thm)],[762])).
% 1.65/1.82 tff(764,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv1(W))) | ssPv4(Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause45')).
% 1.65/1.82 tff(765,plain,
% 1.65/1.82 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[764, 763])).
% 1.65/1.82 tff(766,plain,
% 1.65/1.82 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[765, 761])).
% 1.65/1.82 tff(767,plain,(
% 1.65/1.82 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.65/1.82 inference(skolemize,[status(sab)],[766])).
% 1.65/1.82 tff(768,plain,
% 1.65/1.82 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[767, 760])).
% 1.65/1.82 tff(769,plain,
% 1.65/1.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(770,plain,
% 1.65/1.82 ((ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0))))) <=> ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(771,plain,
% 1.65/1.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.65/1.82 inference(monotonicity,[status(thm)],[770])).
% 1.65/1.82 tff(772,plain,
% 1.65/1.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.65/1.82 inference(transitivity,[status(thm)],[771, 769])).
% 1.65/1.82 tff(773,plain,
% 1.65/1.82 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.65/1.82 inference(quant_inst,[status(thm)],[])).
% 1.65/1.82 tff(774,plain,
% 1.65/1.82 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[773, 772])).
% 1.65/1.82 tff(775,plain,
% 1.65/1.82 ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[774, 768, 16, 95])).
% 1.65/1.82 tff(776,plain,
% 1.65/1.82 ($false),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[775, 758, 721, 577, 739])).
% 1.65/1.82 tff(777,plain,(ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.82 tff(778,plain,
% 1.65/1.82 (ssPv2(skf1(skf1(elem!0)))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[777, 6, 5])).
% 1.65/1.82 tff(779,plain,
% 1.65/1.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | ((~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(780,plain,
% 1.65/1.82 ((ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(elem!0))) <=> ((~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(781,plain,
% 1.65/1.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | ((~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0)))))),
% 1.65/1.82 inference(monotonicity,[status(thm)],[780])).
% 1.65/1.82 tff(782,plain,
% 1.65/1.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))))),
% 1.65/1.82 inference(transitivity,[status(thm)],[781, 779])).
% 1.65/1.82 tff(783,plain,
% 1.65/1.82 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(elem!0)))),
% 1.65/1.82 inference(quant_inst,[status(thm)],[])).
% 1.65/1.82 tff(784,plain,
% 1.65/1.82 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0)))),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[783, 782])).
% 1.65/1.82 tff(785,plain,
% 1.65/1.82 ((~ssPv3(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0)))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[784, 692, 133, 18])).
% 1.65/1.82 tff(786,plain,
% 1.65/1.82 (~ssPv3(elem!0)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[785, 7, 778, 74])).
% 1.65/1.82 tff(787,plain,
% 1.65/1.82 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W))) <=> (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W))))),
% 1.65/1.82 inference(bind,[status(th)],[])).
% 1.65/1.82 tff(788,plain,
% 1.65/1.82 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))),
% 1.65/1.82 inference(quant_intro,[status(thm)],[787])).
% 1.65/1.82 tff(789,plain,
% 1.65/1.82 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(790,plain,
% 1.65/1.82 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv2(V))) <=> ((~ssRr(U, V)) | (~ssPv2(V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> (((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))))), rewrite((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(X, Y))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) <=> (((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv3(Z))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv3(Z))) <=> ((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) <=> ((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv1(W))) <=> (((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv1(W))))), rewrite((((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv1(W))) <=> ((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv1(W))) <=> ((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W))))), ((((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv1(W))) | ssPv3(Y)) <=> (((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W))) | ssPv3(Y)))), rewrite((((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))), ((((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv1(W))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))))),
% 1.65/1.82 inference(bind,[status(th)],[])).
% 1.65/1.82 tff(791,plain,
% 1.65/1.82 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv1(W))) | ssPv3(Y)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))),
% 1.65/1.82 inference(quant_intro,[status(thm)],[790])).
% 1.65/1.82 tff(792,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv1(W))) | ssPv3(Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause46')).
% 1.65/1.82 tff(793,plain,
% 1.65/1.82 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[792, 791])).
% 1.65/1.82 tff(794,plain,
% 1.65/1.82 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[793, 789])).
% 1.65/1.82 tff(795,plain,(
% 1.65/1.82 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))),
% 1.65/1.82 inference(skolemize,[status(sab)],[794])).
% 1.65/1.82 tff(796,plain,
% 1.65/1.82 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))),
% 1.65/1.83 inference(modus_ponens,[status(thm)],[795, 788])).
% 1.65/1.83 tff(797,plain,
% 1.65/1.83 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))) | ((~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))),
% 1.65/1.83 inference(rewrite,[status(thm)],[])).
% 1.65/1.83 tff(798,plain,
% 1.65/1.83 ((ssPv3(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv1(elem!0))) <=> ((~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))),
% 1.65/1.83 inference(rewrite,[status(thm)],[])).
% 1.65/1.83 tff(799,plain,
% 1.65/1.83 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))) | ((~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0)))))),
% 1.65/1.83 inference(monotonicity,[status(thm)],[798])).
% 1.65/1.83 tff(800,plain,
% 1.65/1.83 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))),
% 1.65/1.83 inference(transitivity,[status(thm)],[799, 797])).
% 1.65/1.83 tff(801,plain,
% 1.65/1.83 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)))),
% 1.65/1.83 inference(quant_inst,[status(thm)],[])).
% 1.65/1.83 tff(802,plain,
% 1.65/1.83 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0)))),
% 1.65/1.83 inference(modus_ponens,[status(thm)],[801, 800])).
% 1.65/1.83 tff(803,plain,
% 1.65/1.83 ((~ssPv1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0)))),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[802, 796, 133, 18])).
% 1.65/1.83 tff(804,plain,
% 1.65/1.83 (~ssPv1(elem!0)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[803, 74, 778, 5])).
% 1.65/1.83 tff(805,assumption,(~ssPv4(skf1(elem!0))), introduced(assumption)).
% 1.65/1.83 tff(806,plain,
% 1.65/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | (ssPv1(elem!0) | ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ssPv1(elem!0) | ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.65/1.83 inference(rewrite,[status(thm)],[])).
% 1.65/1.83 tff(807,plain,
% 1.65/1.83 (((~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv3(elem!0) | ssPv4(skf1(elem!0))) <=> (ssPv1(elem!0) | ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.65/1.83 inference(rewrite,[status(thm)],[])).
% 1.65/1.83 tff(808,plain,
% 1.65/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ((~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv3(elem!0) | ssPv4(skf1(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | (ssPv1(elem!0) | ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0))))))),
% 1.65/1.83 inference(monotonicity,[status(thm)],[807])).
% 1.65/1.83 tff(809,plain,
% 1.65/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ((~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv3(elem!0) | ssPv4(skf1(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ssPv1(elem!0) | ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.65/1.83 inference(transitivity,[status(thm)],[808, 806])).
% 1.65/1.83 tff(810,plain,
% 1.65/1.83 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ((~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv3(elem!0) | ssPv4(skf1(elem!0)))),
% 1.65/1.83 inference(quant_inst,[status(thm)],[])).
% 1.65/1.83 tff(811,plain,
% 1.65/1.83 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ssPv1(elem!0) | ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0))))),
% 1.65/1.83 inference(modus_ponens,[status(thm)],[810, 809])).
% 1.65/1.83 tff(812,plain,
% 1.65/1.83 (ssPv1(elem!0) | ssPv3(elem!0) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0))))),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[811, 66, 133, 18])).
% 1.65/1.83 tff(813,plain,
% 1.65/1.83 ($false),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[812, 804, 786, 778, 805])).
% 1.65/1.83 tff(814,plain,(ssPv4(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.83 tff(815,plain,
% 1.65/1.83 (ssPv4(skf1(elem!0))),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[814, 7, 5, 6])).
% 1.65/1.83 tff(816,plain,
% 1.65/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | ((~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.83 inference(rewrite,[status(thm)],[])).
% 1.65/1.83 tff(817,plain,
% 1.65/1.83 (((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0))))) <=> ((~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.83 inference(rewrite,[status(thm)],[])).
% 1.65/1.83 tff(818,plain,
% 1.65/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | ((~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))))),
% 1.65/1.83 inference(monotonicity,[status(thm)],[817])).
% 1.65/1.83 tff(819,plain,
% 1.65/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.83 inference(transitivity,[status(thm)],[818, 816])).
% 1.65/1.83 tff(820,plain,
% 1.65/1.83 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.65/1.83 inference(quant_inst,[status(thm)],[])).
% 1.65/1.83 tff(821,plain,
% 1.65/1.83 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.65/1.83 inference(modus_ponens,[status(thm)],[820, 819])).
% 1.65/1.83 tff(822,plain,
% 1.65/1.83 ((~ssPv2(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[821, 475, 18, 16])).
% 1.65/1.83 tff(823,plain,
% 1.65/1.83 (~ssPv2(skf1(elem!0))),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[822, 815, 778, 56])).
% 1.65/1.83 tff(824,plain,
% 1.65/1.83 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X)) <=> (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X)))),
% 1.65/1.83 inference(bind,[status(th)],[])).
% 1.65/1.83 tff(825,plain,
% 1.65/1.83 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))),
% 1.65/1.83 inference(quant_intro,[status(thm)],[824])).
% 1.65/1.83 tff(826,plain,
% 1.65/1.83 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))),
% 1.65/1.83 inference(rewrite,[status(thm)],[])).
% 1.65/1.83 tff(827,plain,
% 1.65/1.83 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(V)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(V)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(V)) | ssPv2(X)) <=> ((ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(X)))), rewrite(((ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(X)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(V)) | ssPv2(X)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(V)) | ssPv2(X)) | ssPv1(W)) <=> ((ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X)) | ssPv1(W)))), rewrite(((ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X)) | ssPv1(W)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(V)) | ssPv2(X)) | ssPv1(W)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(V)) | ssPv2(X)) | ssPv1(W)) | ssPv4(W)) <=> ((ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X)) | ssPv4(W)))), rewrite(((ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X)) | ssPv4(W)) <=> (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(V)) | ssPv2(X)) | ssPv1(W)) | ssPv4(W)) <=> (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))))),
% 1.65/1.83 inference(bind,[status(th)],[])).
% 1.65/1.83 tff(828,plain,
% 1.65/1.83 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(V)) | ssPv2(X)) | ssPv1(W)) | ssPv4(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))),
% 1.65/1.83 inference(quant_intro,[status(thm)],[827])).
% 1.65/1.83 tff(829,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv4(V)) | ssPv2(X)) | ssPv1(W)) | ssPv4(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause5')).
% 1.65/1.83 tff(830,plain,
% 1.65/1.83 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))),
% 1.65/1.83 inference(modus_ponens,[status(thm)],[829, 828])).
% 1.65/1.83 tff(831,plain,
% 1.65/1.83 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))),
% 1.65/1.83 inference(modus_ponens,[status(thm)],[830, 826])).
% 1.65/1.83 tff(832,plain,(
% 1.65/1.83 ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))),
% 1.65/1.83 inference(skolemize,[status(sab)],[831])).
% 1.65/1.83 tff(833,plain,
% 1.65/1.83 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))),
% 1.65/1.83 inference(modus_ponens,[status(thm)],[832, 825])).
% 1.65/1.83 tff(834,plain,
% 1.65/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | (ssPv1(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | ssPv1(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))))),
% 1.65/1.83 inference(rewrite,[status(thm)],[])).
% 1.65/1.83 tff(835,plain,
% 1.65/1.83 ((ssPv4(skf1(skf1(elem!0))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv2(skf1(elem!0))) <=> (ssPv1(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))))),
% 1.65/1.83 inference(rewrite,[status(thm)],[])).
% 1.65/1.83 tff(836,plain,
% 1.65/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | (ssPv4(skf1(skf1(elem!0))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv2(skf1(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | (ssPv1(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0)))))),
% 1.65/1.83 inference(monotonicity,[status(thm)],[835])).
% 1.65/1.83 tff(837,plain,
% 1.65/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | (ssPv4(skf1(skf1(elem!0))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv2(skf1(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | ssPv1(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))))),
% 1.65/1.83 inference(transitivity,[status(thm)],[836, 834])).
% 1.65/1.83 tff(838,plain,
% 1.65/1.83 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | (ssPv4(skf1(skf1(elem!0))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv2(skf1(elem!0)))),
% 1.65/1.83 inference(quant_inst,[status(thm)],[])).
% 1.65/1.83 tff(839,plain,
% 1.65/1.83 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | ssPv1(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0)))),
% 1.65/1.83 inference(modus_ponens,[status(thm)],[838, 837])).
% 1.65/1.83 tff(840,plain,
% 1.65/1.83 (ssPv1(elem!0) | ssPv4(elem!0) | ssPv2(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0)))),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[839, 833, 133, 18])).
% 1.65/1.83 tff(841,plain,
% 1.65/1.83 (ssPv4(elem!0)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[840, 823, 804, 7])).
% 1.65/1.83 tff(842,plain,
% 1.65/1.83 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.65/1.83 inference(rewrite,[status(thm)],[])).
% 1.65/1.83 tff(843,plain,
% 1.65/1.83 ((ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> (ssPv2(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.65/1.83 inference(rewrite,[status(thm)],[])).
% 1.65/1.83 tff(844,plain,
% 1.65/1.83 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.65/1.83 inference(monotonicity,[status(thm)],[843])).
% 1.65/1.83 tff(845,plain,
% 1.65/1.83 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.65/1.83 inference(transitivity,[status(thm)],[844, 842])).
% 1.65/1.83 tff(846,plain,
% 1.65/1.83 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.65/1.83 inference(quant_inst,[status(thm)],[])).
% 1.65/1.83 tff(847,plain,
% 1.65/1.83 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(V) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.65/1.83 inference(modus_ponens,[status(thm)],[846, 845])).
% 1.65/1.83 tff(848,plain,
% 1.65/1.83 (ssPv2(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[847, 360, 18, 16])).
% 1.65/1.83 tff(849,plain,
% 1.65/1.83 (ssPv2(skf1(elem!0))),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[848, 3, 5, 778])).
% 1.65/1.83 tff(850,plain,
% 1.65/1.83 (~ssPv4(skf1(elem!0))),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[822, 849, 778, 56])).
% 1.65/1.83 tff(851,plain,
% 1.65/1.83 (ssPv4(skf1(skf1(elem!0)))),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[814, 850, 5, 6])).
% 1.65/1.83 tff(852,plain,
% 1.65/1.83 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W))))),
% 1.65/1.83 inference(bind,[status(th)],[])).
% 1.65/1.83 tff(853,plain,
% 1.65/1.83 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))),
% 1.65/1.83 inference(quant_intro,[status(thm)],[852])).
% 1.65/1.83 tff(854,plain,
% 1.65/1.83 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))),
% 1.65/1.83 inference(rewrite,[status(thm)],[])).
% 1.65/1.83 tff(855,plain,
% 1.65/1.83 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv4(V))) <=> ((~ssPv4(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> (((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(X))))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X)))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X))))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv2(W))) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X))) | (~ssPv2(W))))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X))) | (~ssPv2(W))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X)) | (~ssPv2(W)))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv2(W))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X)) | (~ssPv2(W))))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv2(W))) | ssPv3(W)) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X)) | (~ssPv2(W))) | ssPv3(W)))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X)) | (~ssPv2(W))) | ssPv3(W)) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv2(W))) | ssPv3(W)) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))))),
% 1.65/1.83 inference(bind,[status(th)],[])).
% 1.65/1.83 tff(856,plain,
% 1.65/1.83 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv2(W))) | ssPv3(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))),
% 1.65/1.83 inference(quant_intro,[status(thm)],[855])).
% 1.65/1.83 tff(857,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv2(W))) | ssPv3(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause18')).
% 1.65/1.83 tff(858,plain,
% 1.65/1.83 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))),
% 1.65/1.83 inference(modus_ponens,[status(thm)],[857, 856])).
% 1.65/1.83 tff(859,plain,
% 1.65/1.83 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))),
% 1.65/1.83 inference(modus_ponens,[status(thm)],[858, 854])).
% 1.65/1.83 tff(860,plain,(
% 1.65/1.83 ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))),
% 1.65/1.83 inference(skolemize,[status(sab)],[859])).
% 1.65/1.83 tff(861,plain,
% 1.65/1.83 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))),
% 1.65/1.83 inference(modus_ponens,[status(thm)],[860, 853])).
% 1.65/1.83 tff(862,plain,
% 1.65/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))) | (ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.83 inference(rewrite,[status(thm)],[])).
% 1.65/1.83 tff(863,plain,
% 1.65/1.83 (((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0)))) <=> (ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.83 inference(rewrite,[status(thm)],[])).
% 1.65/1.83 tff(864,plain,
% 1.65/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))) | (ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))))),
% 1.65/1.83 inference(monotonicity,[status(thm)],[863])).
% 1.65/1.83 tff(865,plain,
% 1.65/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.83 inference(transitivity,[status(thm)],[864, 862])).
% 1.65/1.83 tff(866,plain,
% 1.65/1.83 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))))),
% 1.65/1.83 inference(quant_inst,[status(thm)],[])).
% 1.65/1.83 tff(867,plain,
% 1.65/1.83 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.65/1.83 inference(modus_ponens,[status(thm)],[866, 865])).
% 1.65/1.83 tff(868,plain,
% 1.65/1.83 (ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[867, 861, 18, 16])).
% 1.65/1.83 tff(869,plain,
% 1.65/1.83 (ssPv3(skf1(elem!0))),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[868, 851, 849, 131])).
% 1.65/1.83 tff(870,plain,
% 1.65/1.83 (~ssPv1(elem!0)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[803, 869, 778, 5])).
% 1.65/1.83 tff(871,plain,
% 1.65/1.83 (ssPv2(elem!0)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[540, 870, 851, 5])).
% 1.65/1.83 tff(872,plain,
% 1.65/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | ((~ssPv2(elem!0)) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | (~ssPv2(elem!0)) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.65/1.83 inference(rewrite,[status(thm)],[])).
% 1.65/1.83 tff(873,plain,
% 1.65/1.83 (((~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(elem!0)) | (~ssPv2(elem!0)) | (~ssPv2(skf1(elem!0)))) <=> ((~ssPv2(elem!0)) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.65/1.83 inference(rewrite,[status(thm)],[])).
% 1.65/1.83 tff(874,plain,
% 1.65/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | ((~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(elem!0)) | (~ssPv2(elem!0)) | (~ssPv2(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | ((~ssPv2(elem!0)) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0))))))),
% 1.65/1.83 inference(monotonicity,[status(thm)],[873])).
% 1.65/1.83 tff(875,plain,
% 1.65/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | ((~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(elem!0)) | (~ssPv2(elem!0)) | (~ssPv2(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | (~ssPv2(elem!0)) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.65/1.84 inference(transitivity,[status(thm)],[874, 872])).
% 1.65/1.84 tff(876,plain,
% 1.65/1.84 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | ((~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(elem!0)) | (~ssPv2(elem!0)) | (~ssPv2(skf1(elem!0))))),
% 1.65/1.84 inference(quant_inst,[status(thm)],[])).
% 1.65/1.84 tff(877,plain,
% 1.65/1.84 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | (~ssPv2(elem!0)) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0))))),
% 1.65/1.84 inference(modus_ponens,[status(thm)],[876, 875])).
% 1.65/1.84 tff(878,plain,
% 1.65/1.84 ((~ssPv2(elem!0)) | (~ssPv4(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0))))),
% 1.65/1.84 inference(unit_resolution,[status(thm)],[877, 475, 133, 18])).
% 1.65/1.84 tff(879,plain,
% 1.65/1.84 (~ssPv4(elem!0)),
% 1.65/1.84 inference(unit_resolution,[status(thm)],[878, 871, 778, 849])).
% 1.65/1.84 tff(880,plain,
% 1.65/1.84 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ((~ssPv2(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | (~ssPv2(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))),
% 1.65/1.84 inference(rewrite,[status(thm)],[])).
% 1.65/1.84 tff(881,plain,
% 1.65/1.84 (((~ssPv4(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)) | (~ssPv3(skf1(elem!0)))) <=> ((~ssPv2(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))),
% 1.65/1.84 inference(rewrite,[status(thm)],[])).
% 1.65/1.84 tff(882,plain,
% 1.65/1.84 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ((~ssPv4(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ((~ssPv2(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0)))))),
% 1.65/1.84 inference(monotonicity,[status(thm)],[881])).
% 1.65/1.84 tff(883,plain,
% 1.65/1.84 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ((~ssPv4(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | (~ssPv2(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))),
% 1.68/1.84 inference(transitivity,[status(thm)],[882, 880])).
% 1.68/1.84 tff(884,plain,
% 1.68/1.84 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ((~ssPv4(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)) | (~ssPv3(skf1(elem!0))))),
% 1.68/1.84 inference(quant_inst,[status(thm)],[])).
% 1.68/1.84 tff(885,plain,
% 1.68/1.84 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | (~ssPv2(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0)))),
% 1.68/1.84 inference(modus_ponens,[status(thm)],[884, 883])).
% 1.68/1.84 tff(886,plain,
% 1.68/1.84 ((~ssPv2(elem!0)) | ssPv4(elem!0) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0)))),
% 1.68/1.84 inference(unit_resolution,[status(thm)],[885, 638, 133, 18])).
% 1.68/1.84 tff(887,plain,
% 1.68/1.84 ($false),
% 1.68/1.84 inference(unit_resolution,[status(thm)],[886, 879, 871, 851, 869])).
% 1.68/1.84 tff(888,plain,(ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.68/1.84 tff(889,plain,
% 1.68/1.84 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.68/1.84 inference(unit_resolution,[status(thm)],[888, 6, 5])).
% 1.68/1.84 tff(890,plain,
% 1.68/1.84 (ssPv1(skf1(skf1(elem!0)))),
% 1.68/1.84 inference(unit_resolution,[status(thm)],[574, 823, 815, 889])).
% 1.68/1.84 tff(891,plain,
% 1.68/1.84 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv2(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.68/1.84 inference(rewrite,[status(thm)],[])).
% 1.68/1.84 tff(892,plain,
% 1.68/1.84 (((~ssPv1(skf1(skf1(elem!0)))) | ssPv2(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(elem!0))) <=> (ssPv2(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.68/1.84 inference(rewrite,[status(thm)],[])).
% 1.68/1.84 tff(893,plain,
% 1.68/1.84 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv2(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0))))))),
% 1.68/1.84 inference(monotonicity,[status(thm)],[892])).
% 1.68/1.84 tff(894,plain,
% 1.68/1.84 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv2(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv2(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.68/1.84 inference(transitivity,[status(thm)],[893, 891])).
% 1.68/1.84 tff(895,plain,
% 1.68/1.84 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv2(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(elem!0)))),
% 1.68/1.84 inference(quant_inst,[status(thm)],[])).
% 1.68/1.84 tff(896,plain,
% 1.68/1.84 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv2(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0))))),
% 1.68/1.84 inference(modus_ponens,[status(thm)],[895, 894])).
% 1.68/1.84 tff(897,plain,
% 1.68/1.84 (ssPv2(elem!0) | (~ssPv4(elem!0)) | ssPv1(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0))))),
% 1.68/1.84 inference(unit_resolution,[status(thm)],[896, 342, 133, 18])).
% 1.68/1.84 tff(898,plain,
% 1.68/1.84 (ssPv2(elem!0)),
% 1.68/1.84 inference(unit_resolution,[status(thm)],[897, 841, 890, 6])).
% 1.68/1.84 tff(899,plain,
% 1.68/1.84 ($false),
% 1.68/1.84 inference(unit_resolution,[status(thm)],[558, 898, 841, 5, 786])).
% 1.68/1.84 tff(900,plain,(ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.68/1.84 tff(901,plain,
% 1.68/1.84 (ssPv4(skf1(skf1(elem!0)))),
% 1.68/1.84 inference(unit_resolution,[status(thm)],[900, 6, 5])).
% 1.68/1.84 tff(902,plain,
% 1.68/1.84 (((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.84 inference(rewrite,[status(thm)],[])).
% 1.68/1.84 tff(903,plain,
% 1.68/1.84 ((ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.84 inference(rewrite,[status(thm)],[])).
% 1.68/1.84 tff(904,plain,
% 1.68/1.84 (((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.84 inference(monotonicity,[status(thm)],[903])).
% 1.68/1.84 tff(905,plain,
% 1.68/1.84 (((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.84 inference(transitivity,[status(thm)],[904, 902])).
% 1.68/1.84 tff(906,plain,
% 1.68/1.84 ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.84 inference(quant_inst,[status(thm)],[])).
% 1.68/1.84 tff(907,plain,
% 1.68/1.84 ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.84 inference(modus_ponens,[status(thm)],[906, 905])).
% 1.68/1.84 tff(908,plain,
% 1.68/1.84 (ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.84 inference(unit_resolution,[status(thm)],[907, 551, 16, 95])).
% 1.68/1.84 tff(909,plain,
% 1.68/1.84 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.84 inference(unit_resolution,[status(thm)],[908, 901, 5, 778])).
% 1.68/1.84 tff(910,plain,
% 1.68/1.84 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | ((~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.84 inference(rewrite,[status(thm)],[])).
% 1.68/1.84 tff(911,plain,
% 1.68/1.84 (((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.84 inference(rewrite,[status(thm)],[])).
% 1.68/1.84 tff(912,plain,
% 1.68/1.84 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | ((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | ((~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.84 inference(monotonicity,[status(thm)],[911])).
% 1.68/1.84 tff(913,plain,
% 1.68/1.84 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | ((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.84 inference(transitivity,[status(thm)],[912, 910])).
% 1.68/1.84 tff(914,plain,
% 1.68/1.84 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | ((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.84 inference(quant_inst,[status(thm)],[])).
% 1.68/1.84 tff(915,plain,
% 1.68/1.84 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(X)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.84 inference(modus_ponens,[status(thm)],[914, 913])).
% 1.68/1.84 tff(916,plain,
% 1.68/1.84 ((~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.84 inference(unit_resolution,[status(thm)],[915, 475, 16, 95])).
% 1.68/1.84 tff(917,plain,
% 1.68/1.84 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.84 inference(unit_resolution,[status(thm)],[916, 901, 56, 778])).
% 1.68/1.84 tff(918,assumption,(ssPv2(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.68/1.84 tff(919,assumption,(ssPv3(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.68/1.84 tff(920,plain,
% 1.68/1.84 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.84 inference(rewrite,[status(thm)],[])).
% 1.68/1.84 tff(921,plain,
% 1.68/1.84 ((ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.84 inference(rewrite,[status(thm)],[])).
% 1.68/1.84 tff(922,plain,
% 1.68/1.84 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.84 inference(monotonicity,[status(thm)],[921])).
% 1.68/1.84 tff(923,plain,
% 1.68/1.84 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.84 inference(transitivity,[status(thm)],[922, 920])).
% 1.68/1.84 tff(924,plain,
% 1.68/1.84 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.84 inference(quant_inst,[status(thm)],[])).
% 1.68/1.84 tff(925,plain,
% 1.68/1.84 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.84 inference(modus_ponens,[status(thm)],[924, 923])).
% 1.68/1.84 tff(926,plain,
% 1.68/1.84 (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.84 inference(unit_resolution,[status(thm)],[925, 28, 16, 95])).
% 1.68/1.84 tff(927,plain,
% 1.68/1.84 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.68/1.84 inference(unit_resolution,[status(thm)],[926, 93, 373, 919])).
% 1.68/1.84 tff(928,assumption,(ssPv1(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.68/1.84 tff(929,plain,
% 1.68/1.84 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.68/1.84 inference(unit_resolution,[status(thm)],[265, 93, 5, 919])).
% 1.68/1.84 tff(930,plain,
% 1.68/1.84 (~ssPv2(skf1(elem!0))),
% 1.68/1.84 inference(unit_resolution,[status(thm)],[239, 929, 928, 163])).
% 1.68/1.84 tff(931,plain,
% 1.68/1.84 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.84 inference(rewrite,[status(thm)],[])).
% 1.68/1.84 tff(932,plain,
% 1.68/1.84 ((ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.84 inference(rewrite,[status(thm)],[])).
% 1.68/1.84 tff(933,plain,
% 1.68/1.84 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.84 inference(monotonicity,[status(thm)],[932])).
% 1.68/1.84 tff(934,plain,
% 1.68/1.84 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.84 inference(transitivity,[status(thm)],[933, 931])).
% 1.68/1.84 tff(935,plain,
% 1.68/1.84 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.68/1.84 inference(quant_inst,[status(thm)],[])).
% 1.68/1.84 tff(936,plain,
% 1.68/1.84 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.85 inference(modus_ponens,[status(thm)],[935, 934])).
% 1.68/1.85 tff(937,plain,
% 1.68/1.85 (ssPv2(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.85 inference(unit_resolution,[status(thm)],[936, 105, 18, 16])).
% 1.68/1.85 tff(938,plain,
% 1.68/1.85 ($false),
% 1.68/1.85 inference(unit_resolution,[status(thm)],[937, 930, 927, 918, 93])).
% 1.68/1.85 tff(939,plain,(ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.68/1.85 tff(940,plain,
% 1.68/1.85 (ssPv1(skf1(skf1(elem!0)))),
% 1.68/1.85 inference(unit_resolution,[status(thm)],[939, 778, 889, 56, 917, 909, 5])).
% 1.68/1.85 tff(941,plain,
% 1.68/1.85 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv2(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.68/1.85 inference(rewrite,[status(thm)],[])).
% 1.68/1.85 tff(942,plain,
% 1.68/1.85 (((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0))) <=> ((~ssPv2(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.68/1.85 inference(rewrite,[status(thm)],[])).
% 1.68/1.85 tff(943,plain,
% 1.68/1.85 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv2(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0))))))),
% 1.68/1.85 inference(monotonicity,[status(thm)],[942])).
% 1.68/1.85 tff(944,plain,
% 1.68/1.85 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.68/1.85 inference(transitivity,[status(thm)],[943, 941])).
% 1.68/1.85 tff(945,plain,
% 1.68/1.85 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)))),
% 1.68/1.85 inference(quant_inst,[status(thm)],[])).
% 1.68/1.85 tff(946,plain,
% 1.68/1.85 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0))))),
% 1.68/1.85 inference(modus_ponens,[status(thm)],[945, 944])).
% 1.68/1.85 tff(947,plain,
% 1.68/1.85 ((~ssPv2(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0))))),
% 1.68/1.85 inference(unit_resolution,[status(thm)],[946, 232, 133, 18])).
% 1.68/1.85 tff(948,plain,
% 1.68/1.85 (~ssPv2(elem!0)),
% 1.68/1.85 inference(unit_resolution,[status(thm)],[947, 940, 778, 901])).
% 1.68/1.85 tff(949,plain,
% 1.68/1.85 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.68/1.85 inference(rewrite,[status(thm)],[])).
% 1.68/1.85 tff(950,plain,
% 1.68/1.85 ((ssPv3(skf1(skf1(elem!0))) | ssPv4(elem!0) | ssPv2(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> (ssPv2(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.68/1.85 inference(rewrite,[status(thm)],[])).
% 1.68/1.85 tff(951,plain,
% 1.68/1.85 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv4(elem!0) | ssPv2(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.68/1.85 inference(monotonicity,[status(thm)],[950])).
% 1.68/1.85 tff(952,plain,
% 1.68/1.85 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv4(elem!0) | ssPv2(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.68/1.85 inference(transitivity,[status(thm)],[951, 949])).
% 1.68/1.85 tff(953,plain,
% 1.68/1.85 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv4(elem!0) | ssPv2(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.68/1.85 inference(quant_inst,[status(thm)],[])).
% 1.68/1.85 tff(954,plain,
% 1.68/1.85 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.68/1.85 inference(modus_ponens,[status(thm)],[953, 952])).
% 1.68/1.85 tff(955,plain,
% 1.68/1.85 (ssPv2(elem!0) | ssPv4(elem!0) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0)))),
% 1.68/1.85 inference(unit_resolution,[status(thm)],[954, 212, 133, 18])).
% 1.68/1.85 tff(956,plain,
% 1.68/1.85 (ssPv4(elem!0)),
% 1.68/1.85 inference(unit_resolution,[status(thm)],[955, 948, 5, 6])).
% 1.68/1.85 tff(957,plain,
% 1.68/1.85 ($false),
% 1.68/1.85 inference(unit_resolution,[status(thm)],[897, 956, 948, 940, 6])).
% 1.68/1.85 tff(958,plain,(ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.68/1.85 tff(959,plain,
% 1.68/1.85 (ssPv1(skf1(elem!0))),
% 1.68/1.85 inference(unit_resolution,[status(thm)],[958, 5])).
% 1.68/1.85 tff(960,assumption,(ssPv4(skf1(elem!0))), introduced(assumption)).
% 1.68/1.85 tff(961,plain,
% 1.68/1.85 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.85 inference(rewrite,[status(thm)],[])).
% 1.68/1.85 tff(962,plain,
% 1.68/1.85 ((ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(skf1(elem!0)))) <=> ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.85 inference(rewrite,[status(thm)],[])).
% 1.68/1.85 tff(963,plain,
% 1.68/1.85 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.85 inference(monotonicity,[status(thm)],[962])).
% 1.68/1.85 tff(964,plain,
% 1.68/1.85 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.85 inference(transitivity,[status(thm)],[963, 961])).
% 1.68/1.85 tff(965,plain,
% 1.68/1.85 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))))),
% 1.68/1.85 inference(quant_inst,[status(thm)],[])).
% 1.68/1.85 tff(966,plain,
% 1.68/1.85 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.85 inference(modus_ponens,[status(thm)],[965, 964])).
% 1.68/1.85 tff(967,plain,
% 1.68/1.85 ((~ssPv1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.85 inference(unit_resolution,[status(thm)],[966, 713, 18, 16])).
% 1.68/1.85 tff(968,plain,
% 1.68/1.85 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.68/1.85 inference(unit_resolution,[status(thm)],[967, 960, 959, 1])).
% 1.68/1.85 tff(969,plain,
% 1.68/1.85 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.68/1.85 inference(rewrite,[status(thm)],[])).
% 1.68/1.85 tff(970,plain,
% 1.68/1.85 ((ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv1(skf1(elem!0)))) <=> ((~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.68/1.85 inference(rewrite,[status(thm)],[])).
% 1.68/1.85 tff(971,plain,
% 1.68/1.85 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.85 inference(monotonicity,[status(thm)],[970])).
% 1.68/1.85 tff(972,plain,
% 1.68/1.85 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.68/1.85 inference(transitivity,[status(thm)],[971, 969])).
% 1.68/1.85 tff(973,plain,
% 1.68/1.85 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv1(skf1(elem!0))))),
% 1.68/1.85 inference(quant_inst,[status(thm)],[])).
% 1.68/1.85 tff(974,plain,
% 1.68/1.85 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.68/1.85 inference(modus_ponens,[status(thm)],[973, 972])).
% 1.68/1.85 tff(975,plain,
% 1.68/1.85 ((~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.68/1.85 inference(unit_resolution,[status(thm)],[974, 731, 18, 16])).
% 1.68/1.85 tff(976,plain,
% 1.68/1.85 ($false),
% 1.68/1.85 inference(unit_resolution,[status(thm)],[975, 968, 960, 5, 959])).
% 1.68/1.85 tff(977,plain,((~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.68/1.85 tff(978,plain,
% 1.68/1.85 (~ssPv4(skf1(elem!0))),
% 1.68/1.85 inference(unit_resolution,[status(thm)],[977, 1, 5])).
% 1.68/1.85 tff(979,assumption,(ssPv1(skf1(elem!0))), introduced(assumption)).
% 1.68/1.85 tff(980,plain,
% 1.68/1.85 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.68/1.85 inference(rewrite,[status(thm)],[])).
% 1.68/1.85 tff(981,plain,
% 1.68/1.85 ((ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.68/1.85 inference(rewrite,[status(thm)],[])).
% 1.68/1.85 tff(982,plain,
% 1.68/1.85 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.85 inference(monotonicity,[status(thm)],[981])).
% 1.68/1.85 tff(983,plain,
% 1.68/1.85 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.68/1.85 inference(transitivity,[status(thm)],[982, 980])).
% 1.68/1.85 tff(984,plain,
% 1.68/1.85 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.68/1.85 inference(quant_inst,[status(thm)],[])).
% 1.68/1.85 tff(985,plain,
% 1.68/1.85 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.68/1.85 inference(modus_ponens,[status(thm)],[984, 983])).
% 1.68/1.85 tff(986,plain,
% 1.68/1.85 ((~ssPv1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.68/1.85 inference(unit_resolution,[status(thm)],[985, 143, 18, 16])).
% 1.68/1.85 tff(987,plain,
% 1.68/1.85 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.68/1.85 inference(unit_resolution,[status(thm)],[986, 3, 979, 1])).
% 1.68/1.85 tff(988,plain,
% 1.68/1.85 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.85 inference(rewrite,[status(thm)],[])).
% 1.68/1.85 tff(989,plain,
% 1.68/1.85 ((ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0)))) <=> ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.85 inference(rewrite,[status(thm)],[])).
% 1.68/1.85 tff(990,plain,
% 1.68/1.85 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.85 inference(monotonicity,[status(thm)],[989])).
% 1.68/1.85 tff(991,plain,
% 1.68/1.85 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.85 inference(transitivity,[status(thm)],[990, 988])).
% 1.68/1.85 tff(992,plain,
% 1.68/1.85 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))),
% 1.68/1.85 inference(quant_inst,[status(thm)],[])).
% 1.68/1.85 tff(993,plain,
% 1.68/1.85 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.85 inference(modus_ponens,[status(thm)],[992, 991])).
% 1.68/1.85 tff(994,plain,
% 1.68/1.85 ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.85 inference(unit_resolution,[status(thm)],[993, 322, 18, 16])).
% 1.68/1.85 tff(995,plain,
% 1.68/1.85 ($false),
% 1.68/1.85 inference(unit_resolution,[status(thm)],[994, 987, 3, 979, 805])).
% 1.68/1.85 tff(996,plain,(ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.68/1.85 tff(997,plain,
% 1.68/1.85 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.68/1.85 inference(unit_resolution,[status(thm)],[996, 978, 959, 1])).
% 1.68/1.85 tff(998,plain,
% 1.68/1.85 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) <=> (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))),
% 1.68/1.85 inference(bind,[status(th)],[])).
% 1.68/1.85 tff(999,plain,
% 1.68/1.85 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.68/1.85 inference(quant_intro,[status(thm)],[998])).
% 1.68/1.85 tff(1000,plain,
% 1.68/1.85 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.68/1.85 inference(rewrite,[status(thm)],[])).
% 1.68/1.85 tff(1001,plain,
% 1.68/1.85 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv1(V))) <=> ((~ssPv1(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> (((~ssPv1(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv1(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> ((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> (((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))))), rewrite((((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))) <=> ((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> ((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(Y)) <=> (((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv3(Y)))), rewrite((((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))), (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(Y)) | ssPv4(W)) <=> ((ssPv3(Y) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv4(W)))), rewrite(((ssPv3(Y) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv4(W)) <=> (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(Y)) | ssPv4(W)) <=> (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))))),
% 1.68/1.86 inference(bind,[status(th)],[])).
% 1.68/1.86 tff(1002,plain,
% 1.68/1.86 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(Y)) | ssPv4(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.68/1.86 inference(quant_intro,[status(thm)],[1001])).
% 1.68/1.86 tff(1003,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(Y)) | ssPv4(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause31')).
% 1.68/1.86 tff(1004,plain,
% 1.68/1.86 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.68/1.86 inference(modus_ponens,[status(thm)],[1003, 1002])).
% 1.68/1.86 tff(1005,plain,
% 1.68/1.86 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.68/1.86 inference(modus_ponens,[status(thm)],[1004, 1000])).
% 1.68/1.86 tff(1006,plain,(
% 1.68/1.86 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.68/1.86 inference(skolemize,[status(sab)],[1005])).
% 1.68/1.86 tff(1007,plain,
% 1.68/1.86 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.68/1.86 inference(modus_ponens,[status(thm)],[1006, 999])).
% 1.68/1.86 tff(1008,plain,
% 1.68/1.86 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.86 inference(rewrite,[status(thm)],[])).
% 1.68/1.86 tff(1009,plain,
% 1.68/1.86 ((ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0)))) <=> ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.86 inference(rewrite,[status(thm)],[])).
% 1.68/1.86 tff(1010,plain,
% 1.68/1.86 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.86 inference(monotonicity,[status(thm)],[1009])).
% 1.68/1.86 tff(1011,plain,
% 1.68/1.86 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.86 inference(transitivity,[status(thm)],[1010, 1008])).
% 1.68/1.86 tff(1012,plain,
% 1.68/1.86 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))),
% 1.68/1.86 inference(quant_inst,[status(thm)],[])).
% 1.68/1.86 tff(1013,plain,
% 1.68/1.86 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.86 inference(modus_ponens,[status(thm)],[1012, 1011])).
% 1.68/1.86 tff(1014,plain,
% 1.68/1.86 ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.86 inference(unit_resolution,[status(thm)],[1013, 1007, 18, 16])).
% 1.68/1.86 tff(1015,plain,
% 1.68/1.86 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.68/1.86 inference(unit_resolution,[status(thm)],[1014, 997, 959, 978])).
% 1.68/1.86 tff(1016,plain,
% 1.68/1.86 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.86 inference(rewrite,[status(thm)],[])).
% 1.68/1.86 tff(1017,plain,
% 1.68/1.86 (((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(elem!0)))) <=> ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.86 inference(rewrite,[status(thm)],[])).
% 1.68/1.86 tff(1018,plain,
% 1.68/1.86 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.86 inference(monotonicity,[status(thm)],[1017])).
% 1.68/1.86 tff(1019,plain,
% 1.68/1.86 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.86 inference(transitivity,[status(thm)],[1018, 1016])).
% 1.68/1.86 tff(1020,plain,
% 1.68/1.86 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(elem!0))))),
% 1.68/1.86 inference(quant_inst,[status(thm)],[])).
% 1.68/1.86 tff(1021,plain,
% 1.68/1.86 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.86 inference(modus_ponens,[status(thm)],[1020, 1019])).
% 1.68/1.86 tff(1022,plain,
% 1.68/1.86 ((~ssPv1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.86 inference(unit_resolution,[status(thm)],[1021, 304, 18, 16])).
% 1.68/1.86 tff(1023,plain,
% 1.68/1.86 (~ssPv3(skf1(elem!0))),
% 1.68/1.86 inference(unit_resolution,[status(thm)],[1022, 1015, 959, 997])).
% 1.68/1.86 tff(1024,plain,
% 1.68/1.86 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | (ssPv4(skf1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.86 inference(rewrite,[status(thm)],[])).
% 1.68/1.86 tff(1025,plain,
% 1.68/1.86 ((ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0))) <=> (ssPv4(skf1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.86 inference(rewrite,[status(thm)],[])).
% 1.68/1.86 tff(1026,plain,
% 1.68/1.86 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | (ssPv4(skf1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.86 inference(monotonicity,[status(thm)],[1025])).
% 1.68/1.86 tff(1027,plain,
% 1.68/1.86 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.86 inference(transitivity,[status(thm)],[1026, 1024])).
% 1.68/1.86 tff(1028,plain,
% 1.68/1.86 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)))),
% 1.68/1.86 inference(quant_inst,[status(thm)],[])).
% 1.68/1.86 tff(1029,plain,
% 1.68/1.86 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.86 inference(modus_ponens,[status(thm)],[1028, 1027])).
% 1.68/1.86 tff(1030,plain,
% 1.68/1.86 (ssPv4(skf1(elem!0)) | ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.86 inference(unit_resolution,[status(thm)],[1029, 656, 18, 16])).
% 1.68/1.86 tff(1031,plain,
% 1.68/1.86 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.68/1.86 inference(unit_resolution,[status(thm)],[1030, 1023, 978, 1015])).
% 1.68/1.86 tff(1032,plain,
% 1.68/1.86 (((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.86 inference(rewrite,[status(thm)],[])).
% 1.68/1.86 tff(1033,plain,
% 1.68/1.86 (((~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.86 inference(rewrite,[status(thm)],[])).
% 1.68/1.86 tff(1034,plain,
% 1.68/1.86 (((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.68/1.86 inference(monotonicity,[status(thm)],[1033])).
% 1.68/1.86 tff(1035,plain,
% 1.68/1.86 (((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.86 inference(transitivity,[status(thm)],[1034, 1032])).
% 1.68/1.86 tff(1036,plain,
% 1.68/1.86 ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.86 inference(quant_inst,[status(thm)],[])).
% 1.68/1.86 tff(1037,plain,
% 1.68/1.86 ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.86 inference(modus_ponens,[status(thm)],[1036, 1035])).
% 1.68/1.86 tff(1038,plain,
% 1.68/1.86 (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.86 inference(unit_resolution,[status(thm)],[1037, 590, 95, 286])).
% 1.68/1.86 tff(1039,plain,
% 1.68/1.86 (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.86 inference(unit_resolution,[status(thm)],[1038, 1031, 1, 997])).
% 1.68/1.86 tff(1040,plain,
% 1.68/1.86 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.86 inference(rewrite,[status(thm)],[])).
% 1.68/1.86 tff(1041,plain,
% 1.68/1.86 ((ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.86 inference(rewrite,[status(thm)],[])).
% 1.68/1.86 tff(1042,plain,
% 1.68/1.86 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.68/1.86 inference(monotonicity,[status(thm)],[1041])).
% 1.68/1.86 tff(1043,plain,
% 1.68/1.86 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.86 inference(transitivity,[status(thm)],[1042, 1040])).
% 1.68/1.86 tff(1044,plain,
% 1.68/1.86 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.86 inference(quant_inst,[status(thm)],[])).
% 1.68/1.86 tff(1045,plain,
% 1.68/1.86 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.86 inference(modus_ponens,[status(thm)],[1044, 1043])).
% 1.68/1.86 tff(1046,plain,
% 1.68/1.86 ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.86 inference(unit_resolution,[status(thm)],[1045, 713, 95, 286])).
% 1.68/1.86 tff(1047,plain,
% 1.68/1.86 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.86 inference(unit_resolution,[status(thm)],[1046, 1039, 997, 1031])).
% 1.68/1.86 tff(1048,plain,
% 1.68/1.86 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.86 inference(rewrite,[status(thm)],[])).
% 1.68/1.86 tff(1049,plain,
% 1.68/1.86 ((ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.86 inference(rewrite,[status(thm)],[])).
% 1.68/1.86 tff(1050,plain,
% 1.68/1.86 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.86 inference(monotonicity,[status(thm)],[1049])).
% 1.68/1.86 tff(1051,plain,
% 1.68/1.86 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.86 inference(transitivity,[status(thm)],[1050, 1048])).
% 1.68/1.86 tff(1052,plain,
% 1.68/1.86 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.86 inference(quant_inst,[status(thm)],[])).
% 1.68/1.86 tff(1053,plain,
% 1.68/1.86 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.86 inference(modus_ponens,[status(thm)],[1052, 1051])).
% 1.68/1.86 tff(1054,plain,
% 1.68/1.86 ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.86 inference(unit_resolution,[status(thm)],[1053, 731, 95, 286])).
% 1.68/1.86 tff(1055,plain,
% 1.68/1.86 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.86 inference(unit_resolution,[status(thm)],[1054, 1047, 997, 1031])).
% 1.68/1.86 tff(1056,plain,
% 1.68/1.86 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) <=> (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))))),
% 1.68/1.87 inference(bind,[status(th)],[])).
% 1.68/1.87 tff(1057,plain,
% 1.68/1.87 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.68/1.87 inference(quant_intro,[status(thm)],[1056])).
% 1.68/1.87 tff(1058,plain,
% 1.68/1.87 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.68/1.87 inference(rewrite,[status(thm)],[])).
% 1.68/1.87 tff(1059,plain,
% 1.68/1.87 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssPv3(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv3(W))) <=> (((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(W))))), rewrite((((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(W))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv3(W))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv4(Y)) <=> (((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv4(Y)))), rewrite((((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv4(Y)) | ssPv2(W)) <=> ((ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv2(W)))), rewrite(((ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv2(W)) <=> (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv4(Y)) | ssPv2(W)) <=> (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))))),
% 1.68/1.87 inference(bind,[status(th)],[])).
% 1.68/1.87 tff(1060,plain,
% 1.68/1.87 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv4(Y)) | ssPv2(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.68/1.87 inference(quant_intro,[status(thm)],[1059])).
% 1.68/1.87 tff(1061,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv4(Y)) | ssPv2(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause27')).
% 1.68/1.87 tff(1062,plain,
% 1.68/1.87 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.68/1.87 inference(modus_ponens,[status(thm)],[1061, 1060])).
% 1.68/1.87 tff(1063,plain,
% 1.68/1.87 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.68/1.87 inference(modus_ponens,[status(thm)],[1062, 1058])).
% 1.68/1.87 tff(1064,plain,(
% 1.68/1.87 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.68/1.87 inference(skolemize,[status(sab)],[1063])).
% 1.68/1.87 tff(1065,plain,
% 1.68/1.87 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.68/1.87 inference(modus_ponens,[status(thm)],[1064, 1057])).
% 1.68/1.87 tff(1066,plain,
% 1.68/1.87 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.87 inference(rewrite,[status(thm)],[])).
% 1.68/1.87 tff(1067,plain,
% 1.68/1.87 ((ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))) <=> (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.87 inference(rewrite,[status(thm)],[])).
% 1.68/1.87 tff(1068,plain,
% 1.68/1.87 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.87 inference(monotonicity,[status(thm)],[1067])).
% 1.68/1.87 tff(1069,plain,
% 1.68/1.87 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.87 inference(transitivity,[status(thm)],[1068, 1066])).
% 1.68/1.87 tff(1070,plain,
% 1.68/1.87 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.87 inference(quant_inst,[status(thm)],[])).
% 1.68/1.87 tff(1071,plain,
% 1.68/1.87 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.87 inference(modus_ponens,[status(thm)],[1070, 1069])).
% 1.68/1.87 tff(1072,plain,
% 1.68/1.87 (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.87 inference(unit_resolution,[status(thm)],[1071, 1065, 95, 286])).
% 1.68/1.87 tff(1073,plain,
% 1.68/1.87 (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.87 inference(unit_resolution,[status(thm)],[1072, 1047, 1, 1015])).
% 1.68/1.87 tff(1074,plain,
% 1.68/1.87 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.87 inference(rewrite,[status(thm)],[])).
% 1.68/1.87 tff(1075,plain,
% 1.68/1.87 ((ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.87 inference(rewrite,[status(thm)],[])).
% 1.68/1.87 tff(1076,plain,
% 1.68/1.87 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.87 inference(monotonicity,[status(thm)],[1075])).
% 1.68/1.87 tff(1077,plain,
% 1.68/1.87 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.87 inference(transitivity,[status(thm)],[1076, 1074])).
% 1.68/1.87 tff(1078,plain,
% 1.68/1.87 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.87 inference(quant_inst,[status(thm)],[])).
% 1.68/1.87 tff(1079,plain,
% 1.68/1.87 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.87 inference(modus_ponens,[status(thm)],[1078, 1077])).
% 1.68/1.87 tff(1080,plain,
% 1.68/1.87 ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.87 inference(unit_resolution,[status(thm)],[1079, 143, 95, 286])).
% 1.68/1.87 tff(1081,plain,
% 1.68/1.87 (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.87 inference(unit_resolution,[status(thm)],[1080, 1073, 997, 1039])).
% 1.68/1.87 tff(1082,plain,
% 1.68/1.87 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.87 inference(rewrite,[status(thm)],[])).
% 1.68/1.87 tff(1083,plain,
% 1.68/1.87 ((ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.87 inference(rewrite,[status(thm)],[])).
% 1.68/1.87 tff(1084,plain,
% 1.68/1.87 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.87 inference(monotonicity,[status(thm)],[1083])).
% 1.68/1.87 tff(1085,plain,
% 1.68/1.87 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.87 inference(transitivity,[status(thm)],[1084, 1082])).
% 1.68/1.87 tff(1086,plain,
% 1.68/1.87 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.87 inference(quant_inst,[status(thm)],[])).
% 1.68/1.87 tff(1087,plain,
% 1.68/1.87 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.87 inference(modus_ponens,[status(thm)],[1086, 1085])).
% 1.68/1.87 tff(1088,plain,
% 1.68/1.87 ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.87 inference(unit_resolution,[status(thm)],[1087, 768, 95, 286])).
% 1.68/1.87 tff(1089,plain,
% 1.68/1.87 ($false),
% 1.68/1.87 inference(unit_resolution,[status(thm)],[1088, 1081, 1055, 997, 1047])).
% 1.68/1.87 tff(1090,plain,(ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.68/1.87 tff(1091,plain,
% 1.68/1.87 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.68/1.87 inference(unit_resolution,[status(thm)],[1090, 5])).
% 1.68/1.87 tff(1092,plain,
% 1.68/1.87 (~ssPv1(skf1(skf1(elem!0)))),
% 1.68/1.87 inference(unit_resolution,[status(thm)],[607, 4, 1091, 3])).
% 1.68/1.87 tff(1093,plain,
% 1.68/1.87 (~ssPv1(elem!0)),
% 1.68/1.87 inference(unit_resolution,[status(thm)],[150, 1092, 5, 4])).
% 1.68/1.87 tff(1094,plain,
% 1.68/1.87 (ssPv3(skf1(elem!0))),
% 1.68/1.87 inference(unit_resolution,[status(thm)],[158, 1093, 4, 5])).
% 1.68/1.87 tff(1095,plain,
% 1.68/1.87 (ssPv4(skf1(skf1(elem!0)))),
% 1.68/1.87 inference(unit_resolution,[status(thm)],[221, 4, 1091, 3])).
% 1.68/1.87 tff(1096,plain,
% 1.68/1.87 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.87 inference(unit_resolution,[status(thm)],[349, 1095, 4, 3])).
% 1.68/1.87 tff(1097,plain,
% 1.68/1.87 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.68/1.87 inference(unit_resolution,[status(thm)],[367, 1096, 4, 1091])).
% 1.68/1.87 tff(1098,plain,
% 1.68/1.87 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.87 inference(unit_resolution,[status(thm)],[112, 4, 1091, 3])).
% 1.68/1.87 tff(1099,plain,
% 1.68/1.87 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.87 inference(unit_resolution,[status(thm)],[283, 1098, 1092, 4])).
% 1.68/1.87 tff(1100,plain,
% 1.68/1.87 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.87 inference(unit_resolution,[status(thm)],[464, 1096, 1098, 1091, 1099, 3, 1097])).
% 1.68/1.87 tff(1101,plain,
% 1.68/1.87 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.68/1.87 inference(unit_resolution,[status(thm)],[247, 1100, 5, 1092])).
% 1.68/1.87 tff(1102,plain,
% 1.68/1.87 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W))) <=> (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W))))),
% 1.68/1.87 inference(bind,[status(th)],[])).
% 1.68/1.87 tff(1103,plain,
% 1.68/1.87 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))),
% 1.68/1.87 inference(quant_intro,[status(thm)],[1102])).
% 1.68/1.87 tff(1104,plain,
% 1.68/1.87 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))),
% 1.68/1.87 inference(rewrite,[status(thm)],[])).
% 1.68/1.87 tff(1105,plain,
% 1.68/1.87 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv4(V))) <=> ((~ssPv4(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> (((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv3(W))) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | (~ssPv3(W))))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | (~ssPv3(W))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv3(W))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W))))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv3(W))) | ssPv1(Y)) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W))) | ssPv1(Y)))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W))) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv3(W))) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))))),
% 1.68/1.87 inference(bind,[status(th)],[])).
% 1.68/1.87 tff(1106,plain,
% 1.68/1.87 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv3(W))) | ssPv1(Y)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))),
% 1.68/1.87 inference(quant_intro,[status(thm)],[1105])).
% 1.68/1.87 tff(1107,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv3(W))) | ssPv1(Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause34')).
% 1.68/1.87 tff(1108,plain,
% 1.68/1.87 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))),
% 1.68/1.87 inference(modus_ponens,[status(thm)],[1107, 1106])).
% 1.68/1.87 tff(1109,plain,
% 1.68/1.87 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))),
% 1.68/1.87 inference(modus_ponens,[status(thm)],[1108, 1104])).
% 1.68/1.87 tff(1110,plain,(
% 1.68/1.87 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))),
% 1.68/1.87 inference(skolemize,[status(sab)],[1109])).
% 1.68/1.87 tff(1111,plain,
% 1.68/1.87 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1110, 1103])).
% 1.68/1.88 tff(1112,plain,
% 1.68/1.88 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.88 inference(rewrite,[status(thm)],[])).
% 1.68/1.88 tff(1113,plain,
% 1.68/1.88 ((ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(elem!0)))) <=> ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.88 inference(rewrite,[status(thm)],[])).
% 1.68/1.88 tff(1114,plain,
% 1.68/1.88 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.88 inference(monotonicity,[status(thm)],[1113])).
% 1.68/1.88 tff(1115,plain,
% 1.68/1.88 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.88 inference(transitivity,[status(thm)],[1114, 1112])).
% 1.68/1.88 tff(1116,plain,
% 1.68/1.88 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(elem!0))))),
% 1.68/1.88 inference(quant_inst,[status(thm)],[])).
% 1.68/1.88 tff(1117,plain,
% 1.68/1.88 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1116, 1115])).
% 1.68/1.88 tff(1118,plain,
% 1.68/1.88 ((~ssPv1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.88 inference(unit_resolution,[status(thm)],[1117, 1111, 18, 16])).
% 1.68/1.88 tff(1119,plain,
% 1.68/1.88 ($false),
% 1.68/1.88 inference(unit_resolution,[status(thm)],[1118, 1101, 1094, 959, 3])).
% 1.68/1.88 tff(1120,plain,(ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.68/1.88 tff(1121,plain,
% 1.68/1.88 (ssPv2(skf1(skf1(elem!0)))),
% 1.68/1.88 inference(unit_resolution,[status(thm)],[1120, 3, 5])).
% 1.68/1.88 tff(1122,plain,
% 1.68/1.88 (ssPv2(skf1(elem!0))),
% 1.68/1.88 inference(unit_resolution,[status(thm)],[848, 1121, 5, 3])).
% 1.68/1.88 tff(1123,plain,
% 1.68/1.88 (~ssPv4(skf1(elem!0))),
% 1.68/1.88 inference(unit_resolution,[status(thm)],[822, 1122, 1121, 1091])).
% 1.68/1.88 tff(1124,plain,
% 1.68/1.88 (~ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.68/1.88 inference(unit_resolution,[status(thm)],[994, 1123, 959, 3])).
% 1.68/1.88 tff(1125,plain,
% 1.68/1.88 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.68/1.88 inference(rewrite,[status(thm)],[])).
% 1.68/1.88 tff(1126,plain,
% 1.68/1.88 ((ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0))))) <=> ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.68/1.88 inference(rewrite,[status(thm)],[])).
% 1.68/1.88 tff(1127,plain,
% 1.68/1.88 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.88 inference(monotonicity,[status(thm)],[1126])).
% 1.68/1.88 tff(1128,plain,
% 1.68/1.88 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.68/1.88 inference(transitivity,[status(thm)],[1127, 1125])).
% 1.68/1.88 tff(1129,plain,
% 1.68/1.88 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.68/1.88 inference(quant_inst,[status(thm)],[])).
% 1.68/1.88 tff(1130,plain,
% 1.68/1.88 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1129, 1128])).
% 1.68/1.88 tff(1131,plain,
% 1.68/1.88 ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.68/1.88 inference(unit_resolution,[status(thm)],[1130, 618, 18, 16])).
% 1.68/1.88 tff(1132,plain,
% 1.68/1.88 (~ssPv1(skf1(skf1(elem!0)))),
% 1.68/1.88 inference(unit_resolution,[status(thm)],[1131, 1124, 959, 1123])).
% 1.68/1.88 tff(1133,plain,
% 1.68/1.88 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))) | (ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))))),
% 1.68/1.88 inference(rewrite,[status(thm)],[])).
% 1.68/1.88 tff(1134,plain,
% 1.68/1.88 ((ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssPv2(skf1(skf1(elem!0))))) <=> (ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))))),
% 1.68/1.88 inference(rewrite,[status(thm)],[])).
% 1.68/1.88 tff(1135,plain,
% 1.68/1.88 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))) | (ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0)))))),
% 1.68/1.88 inference(monotonicity,[status(thm)],[1134])).
% 1.68/1.88 tff(1136,plain,
% 1.68/1.88 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))))),
% 1.68/1.88 inference(transitivity,[status(thm)],[1135, 1133])).
% 1.68/1.88 tff(1137,plain,
% 1.68/1.88 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.68/1.88 inference(quant_inst,[status(thm)],[])).
% 1.68/1.88 tff(1138,plain,
% 1.68/1.88 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv2(V)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0)))),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1137, 1136])).
% 1.68/1.88 tff(1139,plain,
% 1.68/1.88 (ssPv2(elem!0) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0)))),
% 1.68/1.88 inference(unit_resolution,[status(thm)],[1138, 173, 133, 18])).
% 1.68/1.88 tff(1140,plain,
% 1.68/1.88 (ssPv2(elem!0)),
% 1.68/1.88 inference(unit_resolution,[status(thm)],[1139, 1132, 1121, 1123])).
% 1.68/1.88 tff(1141,plain,
% 1.68/1.88 (~ssPv4(elem!0)),
% 1.68/1.88 inference(unit_resolution,[status(thm)],[878, 1140, 1121, 1122])).
% 1.68/1.88 tff(1142,plain,
% 1.68/1.88 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Y) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W))) <=> (ssPv3(Y) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W))))),
% 1.68/1.88 inference(bind,[status(th)],[])).
% 1.68/1.88 tff(1143,plain,
% 1.68/1.88 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))),
% 1.68/1.88 inference(quant_intro,[status(thm)],[1142])).
% 1.68/1.88 tff(1144,plain,
% 1.68/1.88 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))),
% 1.68/1.88 inference(rewrite,[status(thm)],[])).
% 1.68/1.88 tff(1145,plain,
% 1.68/1.88 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv2(V))) <=> ((~ssPv2(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> (((~ssPv2(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv2(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssPv2(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssPv2(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssPv2(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv2(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> (((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))))), rewrite((((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv3(W))) <=> (((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | (~ssPv3(W))))), rewrite((((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | (~ssPv3(W))) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv3(W))) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W))))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv3(W))) | ssPv3(Y)) <=> (((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W))) | ssPv3(Y)))), rewrite((((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv3(W))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))))),
% 1.68/1.88 inference(bind,[status(th)],[])).
% 1.68/1.88 tff(1146,plain,
% 1.68/1.88 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv3(W))) | ssPv3(Y)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))),
% 1.68/1.88 inference(quant_intro,[status(thm)],[1145])).
% 1.68/1.88 tff(1147,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv3(W))) | ssPv3(Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause33')).
% 1.68/1.88 tff(1148,plain,
% 1.68/1.88 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1147, 1146])).
% 1.68/1.88 tff(1149,plain,
% 1.68/1.88 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1148, 1144])).
% 1.68/1.88 tff(1150,plain,(
% 1.68/1.88 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))),
% 1.68/1.88 inference(skolemize,[status(sab)],[1149])).
% 1.68/1.88 tff(1151,plain,
% 1.68/1.88 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1150, 1143])).
% 1.68/1.88 tff(1152,plain,
% 1.68/1.88 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.88 inference(rewrite,[status(thm)],[])).
% 1.68/1.88 tff(1153,plain,
% 1.68/1.88 ((ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(elem!0)))) <=> ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.88 inference(rewrite,[status(thm)],[])).
% 1.68/1.88 tff(1154,plain,
% 1.68/1.88 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.88 inference(monotonicity,[status(thm)],[1153])).
% 1.68/1.88 tff(1155,plain,
% 1.68/1.88 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.88 inference(transitivity,[status(thm)],[1154, 1152])).
% 1.68/1.88 tff(1156,plain,
% 1.68/1.88 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(elem!0))))),
% 1.68/1.88 inference(quant_inst,[status(thm)],[])).
% 1.68/1.88 tff(1157,plain,
% 1.68/1.88 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1156, 1155])).
% 1.68/1.88 tff(1158,plain,
% 1.68/1.88 ((~ssPv1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.88 inference(unit_resolution,[status(thm)],[1157, 1151, 18, 16])).
% 1.68/1.88 tff(1159,plain,
% 1.68/1.88 (~ssPv3(skf1(elem!0))),
% 1.68/1.88 inference(unit_resolution,[status(thm)],[1158, 1124, 959, 1091])).
% 1.68/1.88 tff(1160,plain,
% 1.68/1.88 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | ssPv3(W)) <=> (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | ssPv3(W)))),
% 1.68/1.88 inference(bind,[status(th)],[])).
% 1.68/1.88 tff(1161,plain,
% 1.68/1.88 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | ssPv3(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | ssPv3(W))),
% 1.68/1.88 inference(quant_intro,[status(thm)],[1160])).
% 1.68/1.88 tff(1162,plain,
% 1.68/1.88 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | ssPv3(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | ssPv3(W))),
% 1.68/1.88 inference(rewrite,[status(thm)],[])).
% 1.68/1.88 tff(1163,plain,
% 1.68/1.88 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv2(V))) <=> ((~ssRr(U, V)) | (~ssPv2(V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> (((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))))), rewrite((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(X, Y))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) <=> (((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | ssPv4(Y)))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv3(Z)) <=> ((ssPv4(Y) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | ssPv3(Z)))), rewrite(((ssPv4(Y) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | ssPv3(Z)) <=> (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv3(Z)) <=> (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), ((((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv3(Z)) | ssPv3(W)) <=> ((ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | ssPv3(W)))), rewrite(((ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | ssPv3(W)) <=> (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | ssPv3(W))), ((((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv3(Z)) | ssPv3(W)) <=> (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | ssPv3(W))))),
% 1.68/1.88 inference(bind,[status(th)],[])).
% 1.68/1.88 tff(1164,plain,
% 1.68/1.88 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv3(Z)) | ssPv3(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | ssPv3(W))),
% 1.68/1.88 inference(quant_intro,[status(thm)],[1163])).
% 1.68/1.88 tff(1165,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv3(Z)) | ssPv3(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause41')).
% 1.68/1.88 tff(1166,plain,
% 1.68/1.88 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | ssPv3(W))),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1165, 1164])).
% 1.68/1.88 tff(1167,plain,
% 1.68/1.88 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | ssPv3(W))),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1166, 1162])).
% 1.68/1.88 tff(1168,plain,(
% 1.68/1.88 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | ssPv3(W))),
% 1.68/1.88 inference(skolemize,[status(sab)],[1167])).
% 1.68/1.88 tff(1169,plain,
% 1.68/1.88 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | ssPv3(W))),
% 1.68/1.88 inference(modus_ponens,[status(thm)],[1168, 1161])).
% 1.68/1.88 tff(1170,plain,
% 1.68/1.88 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | ssPv3(W))) | (ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | ssPv3(W))) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.88 inference(rewrite,[status(thm)],[])).
% 1.68/1.88 tff(1171,plain,
% 1.68/1.88 ((ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0))) <=> (ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.88 inference(rewrite,[status(thm)],[])).
% 1.68/1.88 tff(1172,plain,
% 1.68/1.88 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | ssPv3(W))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | ssPv3(W))) | (ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.88 inference(monotonicity,[status(thm)],[1171])).
% 1.68/1.88 tff(1173,plain,
% 1.68/1.88 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | ssPv3(W))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | ssPv3(W))) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.88 inference(transitivity,[status(thm)],[1172, 1170])).
% 1.68/1.88 tff(1174,plain,
% 1.68/1.88 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | ssPv3(W))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)))),
% 1.68/1.88 inference(quant_inst,[status(thm)],[])).
% 1.68/1.88 tff(1175,plain,
% 1.68/1.88 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | ssPv3(W))) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.89 inference(modus_ponens,[status(thm)],[1174, 1173])).
% 1.68/1.89 tff(1176,plain,
% 1.68/1.89 (ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[1175, 1169, 18, 16])).
% 1.68/1.89 tff(1177,plain,
% 1.68/1.89 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[1176, 1159, 5, 1091])).
% 1.68/1.89 tff(1178,plain,
% 1.68/1.89 (~ssPv4(skf1(skf1(elem!0)))),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[868, 1159, 1122, 1177])).
% 1.68/1.89 tff(1179,plain,
% 1.68/1.89 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))))),
% 1.68/1.89 inference(rewrite,[status(thm)],[])).
% 1.68/1.89 tff(1180,plain,
% 1.68/1.89 ((ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> (ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))))),
% 1.68/1.89 inference(rewrite,[status(thm)],[])).
% 1.68/1.89 tff(1181,plain,
% 1.68/1.89 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0)))))),
% 1.68/1.89 inference(monotonicity,[status(thm)],[1180])).
% 1.68/1.89 tff(1182,plain,
% 1.68/1.89 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))))),
% 1.68/1.89 inference(transitivity,[status(thm)],[1181, 1179])).
% 1.68/1.89 tff(1183,plain,
% 1.68/1.89 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.68/1.89 inference(quant_inst,[status(thm)],[])).
% 1.68/1.89 tff(1184,plain,
% 1.68/1.89 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0)))),
% 1.68/1.89 inference(modus_ponens,[status(thm)],[1183, 1182])).
% 1.68/1.89 tff(1185,plain,
% 1.68/1.89 (ssPv1(elem!0) | ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0)))),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[1184, 123, 133, 18])).
% 1.68/1.89 tff(1186,plain,
% 1.68/1.89 (ssPv1(elem!0)),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[1185, 1178, 1159, 1132])).
% 1.68/1.89 tff(1187,plain,
% 1.68/1.89 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | ((~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.68/1.89 inference(rewrite,[status(thm)],[])).
% 1.68/1.89 tff(1188,plain,
% 1.68/1.89 ((ssPv3(skf1(skf1(elem!0))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv1(skf1(elem!0)))) <=> ((~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.68/1.89 inference(rewrite,[status(thm)],[])).
% 1.68/1.89 tff(1189,plain,
% 1.68/1.89 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | ((~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.68/1.89 inference(monotonicity,[status(thm)],[1188])).
% 1.68/1.89 tff(1190,plain,
% 1.68/1.89 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.68/1.89 inference(transitivity,[status(thm)],[1189, 1187])).
% 1.68/1.89 tff(1191,plain,
% 1.68/1.89 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv1(skf1(elem!0))))),
% 1.68/1.89 inference(quant_inst,[status(thm)],[])).
% 1.68/1.89 tff(1192,plain,
% 1.68/1.89 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.68/1.89 inference(modus_ponens,[status(thm)],[1191, 1190])).
% 1.68/1.89 tff(1193,plain,
% 1.68/1.89 ((~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0)))),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[1192, 618, 133, 18])).
% 1.68/1.89 tff(1194,plain,
% 1.68/1.89 ($false),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[1193, 1186, 1141, 959, 5])).
% 1.68/1.89 tff(1195,plain,(ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.68/1.89 tff(1196,plain,
% 1.68/1.89 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[1195, 5])).
% 1.68/1.89 tff(1197,assumption,(ssPv3(skf1(elem!0))), introduced(assumption)).
% 1.68/1.89 tff(1198,plain,
% 1.68/1.89 (~ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[1022, 1197, 979, 928])).
% 1.68/1.89 tff(1199,plain,
% 1.68/1.89 ($false),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[1158, 1198, 1197, 979, 163])).
% 1.68/1.89 tff(1200,plain,((~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.68/1.89 tff(1201,plain,
% 1.68/1.89 (~ssPv3(skf1(elem!0))),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[1200, 959, 1091, 1196])).
% 1.68/1.89 tff(1202,plain,
% 1.68/1.89 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[1176, 1201, 5, 1091])).
% 1.68/1.89 tff(1203,plain,
% 1.68/1.89 (~ssPv2(skf1(elem!0))),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[239, 1202, 1091, 1196])).
% 1.68/1.89 tff(1204,plain,
% 1.68/1.89 (((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | (ssPv2(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ssPv2(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.89 inference(rewrite,[status(thm)],[])).
% 1.68/1.89 tff(1205,plain,
% 1.68/1.89 (((~ssPv4(skf1(elem!0))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))) <=> (ssPv2(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.89 inference(rewrite,[status(thm)],[])).
% 1.68/1.89 tff(1206,plain,
% 1.68/1.89 (((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ((~ssPv4(skf1(elem!0))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | (ssPv2(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.89 inference(monotonicity,[status(thm)],[1205])).
% 1.68/1.89 tff(1207,plain,
% 1.68/1.89 (((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ((~ssPv4(skf1(elem!0))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ssPv2(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.89 inference(transitivity,[status(thm)],[1206, 1204])).
% 1.68/1.89 tff(1208,plain,
% 1.68/1.89 ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ((~ssPv4(skf1(elem!0))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.89 inference(quant_inst,[status(thm)],[])).
% 1.68/1.89 tff(1209,plain,
% 1.68/1.89 ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ssPv2(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.89 inference(modus_ponens,[status(thm)],[1208, 1207])).
% 1.68/1.89 tff(1210,plain,
% 1.68/1.89 (ssPv2(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[1209, 590, 18, 16])).
% 1.68/1.89 tff(1211,plain,
% 1.68/1.89 (~ssPv4(skf1(elem!0))),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[1210, 1203, 959, 1091])).
% 1.68/1.89 tff(1212,plain,
% 1.68/1.89 (~ssPv3(elem!0)),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[566, 1211, 1203, 5])).
% 1.68/1.89 tff(1213,plain,
% 1.68/1.89 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))) | (ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))) | ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.68/1.89 inference(rewrite,[status(thm)],[])).
% 1.68/1.89 tff(1214,plain,
% 1.68/1.89 ((ssPv3(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssPv1(skf1(elem!0)))) <=> (ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.68/1.89 inference(rewrite,[status(thm)],[])).
% 1.68/1.89 tff(1215,plain,
% 1.68/1.89 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))) | (ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.68/1.89 inference(monotonicity,[status(thm)],[1214])).
% 1.68/1.89 tff(1216,plain,
% 1.68/1.89 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))) | ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.68/1.89 inference(transitivity,[status(thm)],[1215, 1213])).
% 1.68/1.89 tff(1217,plain,
% 1.68/1.89 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssPv1(skf1(elem!0))))),
% 1.68/1.89 inference(quant_inst,[status(thm)],[])).
% 1.68/1.89 tff(1218,plain,
% 1.68/1.89 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(W)) | (~ssPv1(X)))) | ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.68/1.89 inference(modus_ponens,[status(thm)],[1217, 1216])).
% 1.68/1.89 tff(1219,plain,
% 1.68/1.89 (ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0)))),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[1218, 504, 133, 18])).
% 1.68/1.89 tff(1220,plain,
% 1.68/1.89 (~ssPv4(elem!0)),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[1219, 1212, 959, 5])).
% 1.68/1.89 tff(1221,plain,
% 1.68/1.89 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[1014, 1211, 959, 1196])).
% 1.68/1.89 tff(1222,plain,
% 1.68/1.89 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W))) <=> (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W))))),
% 1.68/1.89 inference(bind,[status(th)],[])).
% 1.68/1.89 tff(1223,plain,
% 1.68/1.89 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))),
% 1.68/1.89 inference(quant_intro,[status(thm)],[1222])).
% 1.68/1.89 tff(1224,plain,
% 1.68/1.89 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))),
% 1.68/1.89 inference(rewrite,[status(thm)],[])).
% 1.68/1.89 tff(1225,plain,
% 1.68/1.89 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssRr(U, V)) | (~ssPv3(V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))))), rewrite((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, X))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V))) | (~ssPv1(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V))) | (~ssPv1(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(X)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W))) | ssPv1(X)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W))) | ssPv1(X)) <=> (ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(X)) <=> (ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(X)) | ssPv4(W)) <=> ((ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W))) | ssPv4(W)))), rewrite(((ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W))) | ssPv4(W)) <=> (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(X)) | ssPv4(W)) <=> (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))))),
% 1.68/1.89 inference(bind,[status(th)],[])).
% 1.68/1.89 tff(1226,plain,
% 1.68/1.89 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(X)) | ssPv4(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))),
% 1.68/1.89 inference(quant_intro,[status(thm)],[1225])).
% 1.68/1.89 tff(1227,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(X)) | ssPv4(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause14')).
% 1.68/1.89 tff(1228,plain,
% 1.68/1.89 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))),
% 1.68/1.89 inference(modus_ponens,[status(thm)],[1227, 1226])).
% 1.68/1.89 tff(1229,plain,
% 1.68/1.89 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))),
% 1.68/1.89 inference(modus_ponens,[status(thm)],[1228, 1224])).
% 1.68/1.89 tff(1230,plain,(
% 1.68/1.89 ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))),
% 1.68/1.89 inference(skolemize,[status(sab)],[1229])).
% 1.68/1.89 tff(1231,plain,
% 1.68/1.89 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))),
% 1.68/1.89 inference(modus_ponens,[status(thm)],[1230, 1223])).
% 1.68/1.89 tff(1232,plain,
% 1.68/1.89 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.89 inference(rewrite,[status(thm)],[])).
% 1.68/1.89 tff(1233,plain,
% 1.68/1.89 ((ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0)))) <=> ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.89 inference(rewrite,[status(thm)],[])).
% 1.68/1.89 tff(1234,plain,
% 1.68/1.89 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | (ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.89 inference(monotonicity,[status(thm)],[1233])).
% 1.68/1.89 tff(1235,plain,
% 1.68/1.89 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | (ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.89 inference(transitivity,[status(thm)],[1234, 1232])).
% 1.68/1.89 tff(1236,plain,
% 1.68/1.89 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | (ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))),
% 1.68/1.89 inference(quant_inst,[status(thm)],[])).
% 1.68/1.89 tff(1237,plain,
% 1.68/1.89 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.89 inference(modus_ponens,[status(thm)],[1236, 1235])).
% 1.68/1.89 tff(1238,plain,
% 1.68/1.89 ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[1237, 1231, 18, 16])).
% 1.68/1.89 tff(1239,plain,
% 1.68/1.89 (ssPv1(skf1(skf1(elem!0)))),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[1238, 1221, 959, 1211])).
% 1.68/1.89 tff(1240,plain,
% 1.68/1.89 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.68/1.89 inference(rewrite,[status(thm)],[])).
% 1.68/1.89 tff(1241,plain,
% 1.68/1.89 ((ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0))) <=> ((~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.68/1.89 inference(rewrite,[status(thm)],[])).
% 1.68/1.89 tff(1242,plain,
% 1.68/1.89 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0))))))),
% 1.68/1.89 inference(monotonicity,[status(thm)],[1241])).
% 1.68/1.89 tff(1243,plain,
% 1.68/1.89 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.68/1.89 inference(transitivity,[status(thm)],[1242, 1240])).
% 1.68/1.89 tff(1244,plain,
% 1.68/1.89 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)))),
% 1.68/1.89 inference(quant_inst,[status(thm)],[])).
% 1.68/1.89 tff(1245,plain,
% 1.68/1.89 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0))))),
% 1.68/1.89 inference(modus_ponens,[status(thm)],[1244, 1243])).
% 1.68/1.89 tff(1246,plain,
% 1.68/1.89 ((~ssPv1(elem!0)) | ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0))))),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[1245, 1007, 133, 18])).
% 1.68/1.89 tff(1247,plain,
% 1.68/1.89 (~ssPv1(elem!0)),
% 1.68/1.89 inference(unit_resolution,[status(thm)],[1246, 1239, 1220, 5])).
% 1.68/1.89 tff(1248,plain,
% 1.68/1.89 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) <=> (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))),
% 1.68/1.89 inference(bind,[status(th)],[])).
% 1.68/1.89 tff(1249,plain,
% 1.68/1.89 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.68/1.89 inference(quant_intro,[status(thm)],[1248])).
% 1.68/1.89 tff(1250,plain,
% 1.68/1.89 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.68/1.89 inference(rewrite,[status(thm)],[])).
% 1.68/1.89 tff(1251,plain,
% 1.68/1.89 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv4(V))) <=> ((~ssPv4(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> (((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(X))))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(X))) <=> ((~ssPv4(V)) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) <=> ((~ssPv4(V)) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssRr(W, Y))) <=> (((~ssPv4(V)) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))))), rewrite((((~ssPv4(V)) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))) <=> ((~ssPv4(V)) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssRr(W, Y))) <=> ((~ssPv4(V)) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssRr(W, Y))) | ssPv2(Y)) <=> (((~ssPv4(V)) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(Y)))), rewrite((((~ssPv4(V)) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(Y)) <=> (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssRr(W, Y))) | ssPv2(Y)) <=> (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssRr(W, Y))) | ssPv2(Y)) | ssPv2(W)) <=> ((ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(W)))), rewrite(((ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(W)) <=> (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssRr(W, Y))) | ssPv2(Y)) | ssPv2(W)) <=> (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))))),
% 1.68/1.89 inference(bind,[status(th)],[])).
% 1.68/1.89 tff(1252,plain,
% 1.68/1.89 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssRr(W, Y))) | ssPv2(Y)) | ssPv2(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.68/1.89 inference(quant_intro,[status(thm)],[1251])).
% 1.68/1.89 tff(1253,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssRr(W, Y))) | ssPv2(Y)) | ssPv2(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause28')).
% 1.68/1.89 tff(1254,plain,
% 1.68/1.89 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.68/1.89 inference(modus_ponens,[status(thm)],[1253, 1252])).
% 1.68/1.89 tff(1255,plain,
% 1.68/1.89 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.68/1.89 inference(modus_ponens,[status(thm)],[1254, 1250])).
% 1.68/1.89 tff(1256,plain,(
% 1.68/1.89 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.68/1.89 inference(skolemize,[status(sab)],[1255])).
% 1.68/1.89 tff(1257,plain,
% 1.68/1.89 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.68/1.89 inference(modus_ponens,[status(thm)],[1256, 1249])).
% 1.68/1.89 tff(1258,plain,
% 1.68/1.89 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.90 inference(rewrite,[status(thm)],[])).
% 1.68/1.90 tff(1259,plain,
% 1.68/1.90 ((ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> (ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.90 inference(rewrite,[status(thm)],[])).
% 1.68/1.90 tff(1260,plain,
% 1.68/1.90 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.90 inference(monotonicity,[status(thm)],[1259])).
% 1.68/1.90 tff(1261,plain,
% 1.68/1.90 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.90 inference(transitivity,[status(thm)],[1260, 1258])).
% 1.68/1.90 tff(1262,plain,
% 1.68/1.90 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.68/1.90 inference(quant_inst,[status(thm)],[])).
% 1.68/1.90 tff(1263,plain,
% 1.68/1.90 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.90 inference(modus_ponens,[status(thm)],[1262, 1261])).
% 1.68/1.90 tff(1264,plain,
% 1.68/1.90 (ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.90 inference(unit_resolution,[status(thm)],[1263, 1257, 18, 16])).
% 1.68/1.90 tff(1265,plain,
% 1.68/1.90 (ssPv2(skf1(skf1(elem!0)))),
% 1.68/1.90 inference(unit_resolution,[status(thm)],[1264, 1239, 1202, 1203])).
% 1.68/1.90 tff(1266,plain,
% 1.68/1.90 ($false),
% 1.68/1.90 inference(unit_resolution,[status(thm)],[812, 1265, 1247, 1212, 1211])).
% 1.68/1.90 tff(1267,plain,(ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.68/1.90 tff(1268,plain,
% 1.68/1.90 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W))) <=> (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W))))),
% 1.68/1.90 inference(bind,[status(th)],[])).
% 1.68/1.90 tff(1269,plain,
% 1.68/1.90 (![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))),
% 1.68/1.90 inference(quant_intro,[status(thm)],[1268])).
% 1.68/1.90 tff(1270,plain,
% 1.68/1.90 (![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))),
% 1.68/1.90 inference(rewrite,[status(thm)],[])).
% 1.68/1.90 tff(1271,plain,
% 1.68/1.90 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv1(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv1(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv1(V)) <=> (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv1(V)) <=> (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv1(V)) | ssPv2(X)) <=> ((ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv2(X)))), rewrite(((ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv2(X)) <=> (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv1(V)) | ssPv2(X)) <=> (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv1(V)) | ssPv2(X)) | ssPv2(W)) <=> ((ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W))) | ssPv2(W)))), rewrite(((ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W))) | ssPv2(W)) <=> (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv1(V)) | ssPv2(X)) | ssPv2(W)) <=> (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))))),
% 1.68/1.90 inference(bind,[status(th)],[])).
% 1.68/1.90 tff(1272,plain,
% 1.68/1.90 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv1(V)) | ssPv2(X)) | ssPv2(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))),
% 1.68/1.90 inference(quant_intro,[status(thm)],[1271])).
% 1.68/1.90 tff(1273,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv1(V)) | ssPv2(X)) | ssPv2(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause7')).
% 1.68/1.90 tff(1274,plain,
% 1.68/1.90 (![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))),
% 1.68/1.90 inference(modus_ponens,[status(thm)],[1273, 1272])).
% 1.68/1.90 tff(1275,plain,
% 1.68/1.90 (![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))),
% 1.68/1.90 inference(modus_ponens,[status(thm)],[1274, 1270])).
% 1.68/1.90 tff(1276,plain,(
% 1.68/1.90 ![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))),
% 1.68/1.90 inference(skolemize,[status(sab)],[1275])).
% 1.68/1.90 tff(1277,plain,
% 1.68/1.90 (![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))),
% 1.68/1.90 inference(modus_ponens,[status(thm)],[1276, 1269])).
% 1.68/1.90 tff(1278,plain,
% 1.68/1.90 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.90 inference(rewrite,[status(thm)],[])).
% 1.68/1.90 tff(1279,plain,
% 1.68/1.90 ((ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0))))) <=> (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.90 inference(rewrite,[status(thm)],[])).
% 1.68/1.90 tff(1280,plain,
% 1.68/1.90 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.90 inference(monotonicity,[status(thm)],[1279])).
% 1.68/1.90 tff(1281,plain,
% 1.68/1.90 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.90 inference(transitivity,[status(thm)],[1280, 1278])).
% 1.68/1.90 tff(1282,plain,
% 1.68/1.90 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.68/1.90 inference(quant_inst,[status(thm)],[])).
% 1.68/1.90 tff(1283,plain,
% 1.68/1.90 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.90 inference(modus_ponens,[status(thm)],[1282, 1281])).
% 1.68/1.90 tff(1284,plain,
% 1.68/1.90 (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.90 inference(unit_resolution,[status(thm)],[1283, 1277, 16, 95])).
% 1.68/1.90 tff(1285,plain,
% 1.68/1.90 (ssPv2(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.90 inference(unit_resolution,[status(thm)],[1284, 1267])).
% 1.68/1.90 tff(1286,plain,
% 1.68/1.90 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.90 inference(unit_resolution,[status(thm)],[1285, 4, 1])).
% 1.68/1.90 tff(1287,plain,
% 1.68/1.90 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.90 inference(rewrite,[status(thm)],[])).
% 1.68/1.90 tff(1288,plain,
% 1.68/1.90 ((ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.90 inference(rewrite,[status(thm)],[])).
% 1.68/1.90 tff(1289,plain,
% 1.68/1.90 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.90 inference(monotonicity,[status(thm)],[1288])).
% 1.68/1.90 tff(1290,plain,
% 1.68/1.90 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.90 inference(transitivity,[status(thm)],[1289, 1287])).
% 1.68/1.90 tff(1291,plain,
% 1.68/1.90 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.68/1.90 inference(quant_inst,[status(thm)],[])).
% 1.68/1.90 tff(1292,plain,
% 1.68/1.90 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.90 inference(modus_ponens,[status(thm)],[1291, 1290])).
% 1.68/1.90 tff(1293,plain,
% 1.68/1.90 (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.90 inference(unit_resolution,[status(thm)],[1292, 191, 16, 95])).
% 1.68/1.90 tff(1294,plain,
% 1.68/1.90 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.68/1.90 inference(unit_resolution,[status(thm)],[1293, 1286, 1, 4])).
% 1.68/1.90 tff(1295,plain,
% 1.68/1.90 (~ssPv4(skf1(skf1(elem!0)))),
% 1.68/1.90 inference(unit_resolution,[status(thm)],[349, 1286, 4, 3])).
% 1.68/1.90 tff(1296,plain,
% 1.68/1.90 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.90 inference(unit_resolution,[status(thm)],[219, 1295, 3, 4])).
% 1.68/1.90 tff(1297,plain,
% 1.68/1.90 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.90 inference(rewrite,[status(thm)],[])).
% 1.68/1.90 tff(1298,plain,
% 1.68/1.90 ((ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0))))) <=> (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.90 inference(rewrite,[status(thm)],[])).
% 1.68/1.90 tff(1299,plain,
% 1.68/1.90 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.90 inference(monotonicity,[status(thm)],[1298])).
% 1.68/1.90 tff(1300,plain,
% 1.68/1.90 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.90 inference(transitivity,[status(thm)],[1299, 1297])).
% 1.68/1.90 tff(1301,plain,
% 1.68/1.90 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.68/1.90 inference(quant_inst,[status(thm)],[])).
% 1.68/1.90 tff(1302,plain,
% 1.68/1.90 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.90 inference(modus_ponens,[status(thm)],[1301, 1300])).
% 1.68/1.90 tff(1303,plain,
% 1.68/1.90 (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.90 inference(unit_resolution,[status(thm)],[1302, 1065, 16, 95])).
% 1.68/1.90 tff(1304,plain,
% 1.68/1.90 (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.90 inference(unit_resolution,[status(thm)],[1303, 1267])).
% 1.68/1.90 tff(1305,plain,
% 1.68/1.90 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.90 inference(unit_resolution,[status(thm)],[1304, 1296, 4])).
% 1.68/1.90 tff(1306,plain,
% 1.68/1.90 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.90 inference(rewrite,[status(thm)],[])).
% 1.68/1.90 tff(1307,plain,
% 1.68/1.90 (((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.90 inference(rewrite,[status(thm)],[])).
% 1.68/1.90 tff(1308,plain,
% 1.68/1.90 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.90 inference(monotonicity,[status(thm)],[1307])).
% 1.68/1.90 tff(1309,plain,
% 1.68/1.90 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.90 inference(transitivity,[status(thm)],[1308, 1306])).
% 1.68/1.90 tff(1310,plain,
% 1.68/1.90 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.68/1.90 inference(quant_inst,[status(thm)],[])).
% 1.68/1.90 tff(1311,plain,
% 1.68/1.90 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.90 inference(modus_ponens,[status(thm)],[1310, 1309])).
% 1.68/1.90 tff(1312,plain,
% 1.68/1.90 ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.90 inference(unit_resolution,[status(thm)],[1311, 304, 16, 95])).
% 1.68/1.90 tff(1313,plain,
% 1.68/1.90 ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.90 inference(unit_resolution,[status(thm)],[1312, 1267])).
% 1.68/1.90 tff(1314,plain,
% 1.68/1.90 (~ssPv1(skf1(skf1(elem!0)))),
% 1.68/1.90 inference(unit_resolution,[status(thm)],[1313, 1296, 1286])).
% 1.68/1.90 tff(1315,assumption,(~ssPv3(skf1(elem!0))), introduced(assumption)).
% 1.68/1.90 tff(1316,plain,
% 1.68/1.90 (ssPv1(elem!0)),
% 1.68/1.90 inference(unit_resolution,[status(thm)],[1185, 1315, 7, 93])).
% 1.68/1.90 tff(1317,plain,
% 1.68/1.90 (ssPv3(skf1(skf1(elem!0)))),
% 1.68/1.90 inference(unit_resolution,[status(thm)],[150, 1316, 4, 93])).
% 1.68/1.90 tff(1318,plain,
% 1.68/1.90 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))))),
% 1.68/1.90 inference(rewrite,[status(thm)],[])).
% 1.68/1.90 tff(1319,plain,
% 1.68/1.90 ((ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0))) <=> ((~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))))),
% 1.68/1.90 inference(rewrite,[status(thm)],[])).
% 1.68/1.90 tff(1320,plain,
% 1.68/1.90 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0)))))),
% 1.68/1.90 inference(monotonicity,[status(thm)],[1319])).
% 1.68/1.90 tff(1321,plain,
% 1.68/1.90 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))))),
% 1.68/1.91 inference(transitivity,[status(thm)],[1320, 1318])).
% 1.68/1.91 tff(1322,plain,
% 1.68/1.91 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)))),
% 1.68/1.91 inference(quant_inst,[status(thm)],[])).
% 1.68/1.91 tff(1323,plain,
% 1.68/1.91 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0)))),
% 1.68/1.91 inference(modus_ponens,[status(thm)],[1322, 1321])).
% 1.68/1.91 tff(1324,plain,
% 1.68/1.91 ((~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0)))),
% 1.68/1.91 inference(unit_resolution,[status(thm)],[1323, 322, 133, 18])).
% 1.68/1.91 tff(1325,plain,
% 1.68/1.91 (ssPv4(elem!0)),
% 1.68/1.91 inference(unit_resolution,[status(thm)],[1324, 1316, 93, 1317])).
% 1.68/1.91 tff(1326,plain,
% 1.68/1.91 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | ((~ssPv1(elem!0)) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (~ssPv1(elem!0)) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))))),
% 1.68/1.91 inference(rewrite,[status(thm)],[])).
% 1.68/1.91 tff(1327,plain,
% 1.68/1.91 ((ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv4(elem!0)) | (~ssPv1(elem!0))) <=> ((~ssPv1(elem!0)) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))))),
% 1.68/1.91 inference(rewrite,[status(thm)],[])).
% 1.68/1.91 tff(1328,plain,
% 1.68/1.91 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv4(elem!0)) | (~ssPv1(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | ((~ssPv1(elem!0)) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0)))))),
% 1.68/1.91 inference(monotonicity,[status(thm)],[1327])).
% 1.68/1.91 tff(1329,plain,
% 1.68/1.91 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv4(elem!0)) | (~ssPv1(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (~ssPv1(elem!0)) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))))),
% 1.68/1.91 inference(transitivity,[status(thm)],[1328, 1326])).
% 1.68/1.91 tff(1330,plain,
% 1.68/1.91 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv4(elem!0)) | (~ssPv1(elem!0)))),
% 1.68/1.91 inference(quant_inst,[status(thm)],[])).
% 1.68/1.91 tff(1331,plain,
% 1.68/1.91 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (~ssPv1(elem!0)) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0)))),
% 1.68/1.91 inference(modus_ponens,[status(thm)],[1330, 1329])).
% 1.68/1.91 tff(1332,plain,
% 1.68/1.91 ((~ssPv1(elem!0)) | (~ssPv4(elem!0)) | ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0)))),
% 1.68/1.91 inference(unit_resolution,[status(thm)],[1331, 731, 133, 18])).
% 1.68/1.91 tff(1333,plain,
% 1.68/1.91 ($false),
% 1.68/1.91 inference(unit_resolution,[status(thm)],[1332, 1325, 1316, 1315, 7])).
% 1.68/1.91 tff(1334,plain,(ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.68/1.91 tff(1335,plain,
% 1.68/1.91 (ssPv3(skf1(elem!0))),
% 1.68/1.91 inference(unit_resolution,[status(thm)],[1334, 1314, 4, 1295])).
% 1.68/1.91 tff(1336,plain,
% 1.68/1.91 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.68/1.91 inference(unit_resolution,[status(thm)],[91, 1335, 4, 1295])).
% 1.68/1.91 tff(1337,assumption,(ssPv4(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.68/1.91 tff(1338,assumption,(ssPv1(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.68/1.91 tff(1339,assumption,(~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))), introduced(assumption)).
% 1.68/1.91 tff(1340,assumption,(~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))), introduced(assumption)).
% 1.68/1.91 tff(1341,plain,
% 1.68/1.91 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.91 inference(rewrite,[status(thm)],[])).
% 1.68/1.91 tff(1342,plain,
% 1.68/1.91 ((ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0))))) <=> (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.91 inference(rewrite,[status(thm)],[])).
% 1.68/1.91 tff(1343,plain,
% 1.68/1.91 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.68/1.91 inference(monotonicity,[status(thm)],[1342])).
% 1.68/1.91 tff(1344,plain,
% 1.68/1.91 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.91 inference(transitivity,[status(thm)],[1343, 1341])).
% 1.68/1.91 tff(1345,plain,
% 1.68/1.91 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.68/1.91 inference(quant_inst,[status(thm)],[])).
% 1.68/1.91 tff(1346,plain,
% 1.68/1.91 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.91 inference(modus_ponens,[status(thm)],[1345, 1344])).
% 1.68/1.91 tff(1347,plain,
% 1.68/1.91 (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.91 inference(unit_resolution,[status(thm)],[1346, 276, 95, 286])).
% 1.68/1.91 tff(1348,plain,
% 1.68/1.91 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.91 inference(unit_resolution,[status(thm)],[1347, 1340, 1, 3])).
% 1.68/1.91 tff(1349,plain,
% 1.68/1.91 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.68/1.91 inference(rewrite,[status(thm)],[])).
% 1.68/1.91 tff(1350,plain,
% 1.68/1.91 ((ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.68/1.91 inference(rewrite,[status(thm)],[])).
% 1.68/1.91 tff(1351,plain,
% 1.68/1.91 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.68/1.91 inference(monotonicity,[status(thm)],[1350])).
% 1.68/1.91 tff(1352,plain,
% 1.68/1.91 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.68/1.91 inference(transitivity,[status(thm)],[1351, 1349])).
% 1.68/1.91 tff(1353,plain,
% 1.68/1.91 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.91 inference(quant_inst,[status(thm)],[])).
% 1.68/1.91 tff(1354,plain,
% 1.68/1.91 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.91 inference(modus_ponens,[status(thm)],[1353, 1352])).
% 1.68/1.91 tff(1355,plain,
% 1.68/1.91 ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.91 inference(unit_resolution,[status(thm)],[1354, 84, 286, 386])).
% 1.68/1.91 tff(1356,plain,
% 1.68/1.91 (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.91 inference(unit_resolution,[status(thm)],[1355, 1348, 919, 1339])).
% 1.68/1.91 tff(1357,plain,
% 1.68/1.91 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.91 inference(rewrite,[status(thm)],[])).
% 1.68/1.91 tff(1358,plain,
% 1.68/1.91 ((ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.91 inference(rewrite,[status(thm)],[])).
% 1.68/1.91 tff(1359,plain,
% 1.68/1.91 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.68/1.91 inference(monotonicity,[status(thm)],[1358])).
% 1.68/1.91 tff(1360,plain,
% 1.68/1.91 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.91 inference(transitivity,[status(thm)],[1359, 1357])).
% 1.68/1.91 tff(1361,plain,
% 1.68/1.91 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.91 inference(quant_inst,[status(thm)],[])).
% 1.68/1.91 tff(1362,plain,
% 1.68/1.91 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.91 inference(modus_ponens,[status(thm)],[1361, 1360])).
% 1.68/1.91 tff(1363,plain,
% 1.68/1.91 ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.91 inference(unit_resolution,[status(thm)],[1362, 731, 286, 386])).
% 1.68/1.91 tff(1364,plain,
% 1.68/1.91 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.91 inference(unit_resolution,[status(thm)],[1363, 1340, 1338, 1337])).
% 1.68/1.91 tff(1365,plain,
% 1.68/1.91 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.91 inference(rewrite,[status(thm)],[])).
% 1.68/1.91 tff(1366,plain,
% 1.68/1.91 ((ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.91 inference(rewrite,[status(thm)],[])).
% 1.68/1.91 tff(1367,plain,
% 1.68/1.91 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.68/1.91 inference(monotonicity,[status(thm)],[1366])).
% 1.68/1.91 tff(1368,plain,
% 1.68/1.91 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.91 inference(transitivity,[status(thm)],[1367, 1365])).
% 1.68/1.91 tff(1369,plain,
% 1.68/1.91 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.91 inference(quant_inst,[status(thm)],[])).
% 1.68/1.91 tff(1370,plain,
% 1.68/1.91 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.91 inference(modus_ponens,[status(thm)],[1369, 1368])).
% 1.68/1.91 tff(1371,plain,
% 1.68/1.91 ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.91 inference(unit_resolution,[status(thm)],[1370, 1111, 286, 386])).
% 1.68/1.91 tff(1372,plain,
% 1.68/1.91 (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.91 inference(unit_resolution,[status(thm)],[1371, 1364, 919, 1338])).
% 1.68/1.91 tff(1373,plain,
% 1.68/1.91 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.68/1.91 inference(rewrite,[status(thm)],[])).
% 1.68/1.91 tff(1374,plain,
% 1.68/1.91 (((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.68/1.91 inference(rewrite,[status(thm)],[])).
% 1.68/1.92 tff(1375,plain,
% 1.68/1.92 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.68/1.92 inference(monotonicity,[status(thm)],[1374])).
% 1.68/1.92 tff(1376,plain,
% 1.68/1.92 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.68/1.92 inference(transitivity,[status(thm)],[1375, 1373])).
% 1.68/1.92 tff(1377,plain,
% 1.68/1.92 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.92 inference(quant_inst,[status(thm)],[])).
% 1.68/1.92 tff(1378,plain,
% 1.68/1.92 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.92 inference(modus_ponens,[status(thm)],[1377, 1376])).
% 1.68/1.92 tff(1379,plain,
% 1.68/1.92 ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.92 inference(unit_resolution,[status(thm)],[1378, 304, 286, 386])).
% 1.68/1.92 tff(1380,plain,
% 1.68/1.92 ($false),
% 1.68/1.92 inference(unit_resolution,[status(thm)],[1379, 1372, 1356, 919, 1338])).
% 1.68/1.92 tff(1381,plain,(ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.68/1.92 tff(1382,plain,
% 1.68/1.92 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.92 inference(unit_resolution,[status(thm)],[1381, 1339, 1338, 919, 1337, 1, 3])).
% 1.68/1.92 tff(1383,plain,
% 1.68/1.92 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.92 inference(unit_resolution,[status(thm)],[1072, 1382, 1, 372])).
% 1.68/1.92 tff(1384,plain,
% 1.68/1.92 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))) <=> (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))))),
% 1.68/1.92 inference(bind,[status(th)],[])).
% 1.68/1.92 tff(1385,plain,
% 1.68/1.92 (![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))),
% 1.68/1.92 inference(quant_intro,[status(thm)],[1384])).
% 1.68/1.92 tff(1386,plain,
% 1.68/1.92 (![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))),
% 1.68/1.92 inference(rewrite,[status(thm)],[])).
% 1.68/1.92 tff(1387,plain,
% 1.68/1.92 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X))) | (~ssPv3(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) | ssPv1(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))) | ssPv1(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))) | ssPv1(V)) <=> (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) | ssPv1(V)) <=> (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) | ssPv1(V)) | ssPv2(W)) <=> ((ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))) | ssPv2(W)))), rewrite(((ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))) | ssPv2(W)) <=> (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) | ssPv1(V)) | ssPv2(W)) <=> (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))))),
% 1.68/1.92 inference(bind,[status(th)],[])).
% 1.68/1.92 tff(1388,plain,
% 1.68/1.92 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) | ssPv1(V)) | ssPv2(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))),
% 1.68/1.92 inference(quant_intro,[status(thm)],[1387])).
% 1.68/1.92 tff(1389,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) | ssPv1(V)) | ssPv2(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause10')).
% 1.68/1.92 tff(1390,plain,
% 1.68/1.92 (![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))),
% 1.68/1.92 inference(modus_ponens,[status(thm)],[1389, 1388])).
% 1.68/1.92 tff(1391,plain,
% 1.68/1.92 (![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))),
% 1.68/1.92 inference(modus_ponens,[status(thm)],[1390, 1386])).
% 1.68/1.92 tff(1392,plain,(
% 1.68/1.92 ![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))),
% 1.68/1.92 inference(skolemize,[status(sab)],[1391])).
% 1.68/1.92 tff(1393,plain,
% 1.68/1.92 (![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))),
% 1.68/1.92 inference(modus_ponens,[status(thm)],[1392, 1385])).
% 1.68/1.92 tff(1394,plain,
% 1.68/1.92 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.92 inference(rewrite,[status(thm)],[])).
% 1.68/1.92 tff(1395,plain,
% 1.68/1.92 ((ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.92 inference(rewrite,[status(thm)],[])).
% 1.68/1.92 tff(1396,plain,
% 1.68/1.92 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.92 inference(monotonicity,[status(thm)],[1395])).
% 1.68/1.92 tff(1397,plain,
% 1.68/1.92 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.92 inference(transitivity,[status(thm)],[1396, 1394])).
% 1.68/1.92 tff(1398,plain,
% 1.68/1.92 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.92 inference(quant_inst,[status(thm)],[])).
% 1.68/1.92 tff(1399,plain,
% 1.68/1.92 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.92 inference(modus_ponens,[status(thm)],[1398, 1397])).
% 1.68/1.92 tff(1400,plain,
% 1.68/1.92 (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.92 inference(unit_resolution,[status(thm)],[1399, 1393, 95, 286])).
% 1.68/1.92 tff(1401,plain,
% 1.68/1.92 (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.68/1.92 inference(unit_resolution,[status(thm)],[1400, 372, 1, 1337])).
% 1.68/1.92 tff(1402,plain,
% 1.68/1.92 (((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.68/1.92 inference(rewrite,[status(thm)],[])).
% 1.68/1.92 tff(1403,plain,
% 1.68/1.92 (((~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.68/1.92 inference(rewrite,[status(thm)],[])).
% 1.68/1.92 tff(1404,plain,
% 1.68/1.92 (((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ((~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))))),
% 1.68/1.92 inference(monotonicity,[status(thm)],[1403])).
% 1.68/1.92 tff(1405,plain,
% 1.68/1.92 (((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ((~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.68/1.92 inference(transitivity,[status(thm)],[1404, 1402])).
% 1.68/1.92 tff(1406,plain,
% 1.68/1.92 ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ((~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.68/1.92 inference(quant_inst,[status(thm)],[])).
% 1.68/1.92 tff(1407,plain,
% 1.68/1.92 ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.68/1.92 inference(modus_ponens,[status(thm)],[1406, 1405])).
% 1.68/1.92 tff(1408,plain,
% 1.68/1.92 ((~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.68/1.92 inference(unit_resolution,[status(thm)],[1407, 590, 386, 439])).
% 1.68/1.92 tff(1409,plain,
% 1.68/1.92 (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.68/1.92 inference(unit_resolution,[status(thm)],[1408, 1383, 1401, 1339])).
% 1.68/1.92 tff(1410,plain,
% 1.68/1.92 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.68/1.92 inference(rewrite,[status(thm)],[])).
% 1.68/1.92 tff(1411,plain,
% 1.68/1.92 ((ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.68/1.92 inference(rewrite,[status(thm)],[])).
% 1.68/1.92 tff(1412,plain,
% 1.68/1.92 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))))),
% 1.76/1.92 inference(monotonicity,[status(thm)],[1411])).
% 1.76/1.92 tff(1413,plain,
% 1.76/1.92 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.76/1.92 inference(transitivity,[status(thm)],[1412, 1410])).
% 1.76/1.92 tff(1414,plain,
% 1.76/1.92 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.92 inference(quant_inst,[status(thm)],[])).
% 1.76/1.92 tff(1415,plain,
% 1.76/1.92 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[1414, 1413])).
% 1.76/1.92 tff(1416,plain,
% 1.76/1.92 ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[1415, 713, 386, 439])).
% 1.76/1.92 tff(1417,plain,
% 1.76/1.92 (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[1416, 1409, 1401, 1383])).
% 1.76/1.92 tff(1418,plain,
% 1.76/1.92 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(1419,plain,
% 1.76/1.92 ((ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(1420,plain,
% 1.76/1.92 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))))),
% 1.76/1.92 inference(monotonicity,[status(thm)],[1419])).
% 1.76/1.92 tff(1421,plain,
% 1.76/1.92 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.76/1.92 inference(transitivity,[status(thm)],[1420, 1418])).
% 1.76/1.92 tff(1422,plain,
% 1.76/1.92 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.92 inference(quant_inst,[status(thm)],[])).
% 1.76/1.92 tff(1423,plain,
% 1.76/1.92 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv4(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.92 inference(modus_ponens,[status(thm)],[1422, 1421])).
% 1.76/1.92 tff(1424,plain,
% 1.76/1.92 ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[1423, 731, 386, 439])).
% 1.76/1.92 tff(1425,plain,
% 1.76/1.92 (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.92 inference(unit_resolution,[status(thm)],[1424, 1417, 1401, 1383])).
% 1.76/1.92 tff(1426,plain,
% 1.76/1.92 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(1427,plain,
% 1.76/1.92 ((ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.76/1.92 inference(rewrite,[status(thm)],[])).
% 1.76/1.92 tff(1428,plain,
% 1.76/1.92 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[1427])).
% 1.76/1.93 tff(1429,plain,
% 1.76/1.93 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.76/1.93 inference(transitivity,[status(thm)],[1428, 1426])).
% 1.76/1.93 tff(1430,plain,
% 1.76/1.93 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.93 inference(quant_inst,[status(thm)],[])).
% 1.76/1.93 tff(1431,plain,
% 1.76/1.93 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[1430, 1429])).
% 1.76/1.93 tff(1432,plain,
% 1.76/1.93 ((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[1431, 1065, 386, 439])).
% 1.76/1.93 tff(1433,plain,
% 1.76/1.93 (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[1432, 1417, 1339, 1382])).
% 1.76/1.93 tff(1434,plain,
% 1.76/1.93 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(1435,plain,
% 1.76/1.93 ((ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(1436,plain,
% 1.76/1.93 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[1435])).
% 1.76/1.93 tff(1437,plain,
% 1.76/1.93 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.93 inference(transitivity,[status(thm)],[1436, 1434])).
% 1.76/1.93 tff(1438,plain,
% 1.76/1.93 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.76/1.93 inference(quant_inst,[status(thm)],[])).
% 1.76/1.93 tff(1439,plain,
% 1.76/1.93 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[1438, 1437])).
% 1.76/1.93 tff(1440,plain,
% 1.76/1.93 (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[1439, 143, 386, 439])).
% 1.76/1.93 tff(1441,plain,
% 1.76/1.93 (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[1440, 1433, 1401, 1409])).
% 1.76/1.93 tff(1442,plain,
% 1.76/1.93 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(1443,plain,
% 1.76/1.93 ((ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(1444,plain,
% 1.76/1.93 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[1443])).
% 1.76/1.93 tff(1445,plain,
% 1.76/1.93 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.76/1.93 inference(transitivity,[status(thm)],[1444, 1442])).
% 1.76/1.93 tff(1446,plain,
% 1.76/1.93 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.93 inference(quant_inst,[status(thm)],[])).
% 1.76/1.93 tff(1447,plain,
% 1.76/1.93 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[1446, 1445])).
% 1.76/1.93 tff(1448,plain,
% 1.76/1.93 ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[1447, 768, 386, 439])).
% 1.76/1.93 tff(1449,plain,
% 1.76/1.93 ($false),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[1448, 1441, 1425, 1401, 1417])).
% 1.76/1.93 tff(1450,plain,(ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.76/1.93 tff(1451,plain,
% 1.76/1.93 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[1450, 1336, 1, 1286, 1296, 1305, 3])).
% 1.76/1.93 tff(1452,plain,
% 1.76/1.93 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) <=> ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))),
% 1.76/1.93 inference(bind,[status(th)],[])).
% 1.76/1.93 tff(1453,plain,
% 1.76/1.93 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.76/1.93 inference(quant_intro,[status(thm)],[1452])).
% 1.76/1.93 tff(1454,plain,
% 1.76/1.93 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(1455,plain,
% 1.76/1.93 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssPv3(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(Y))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(Y))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) <=> (((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) <=> (((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(Z))))), rewrite((((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(Z))) <=> ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) <=> ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv4(W))) <=> (((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(W))))), rewrite((((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(W))) <=> ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv4(W))) <=> ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))))),
% 1.76/1.93 inference(bind,[status(th)],[])).
% 1.76/1.93 tff(1456,plain,
% 1.76/1.93 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv4(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.76/1.93 inference(quant_intro,[status(thm)],[1455])).
% 1.76/1.93 tff(1457,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv4(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause48')).
% 1.76/1.93 tff(1458,plain,
% 1.76/1.93 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[1457, 1456])).
% 1.76/1.93 tff(1459,plain,
% 1.76/1.93 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[1458, 1454])).
% 1.76/1.93 tff(1460,plain,(
% 1.76/1.93 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.76/1.93 inference(skolemize,[status(sab)],[1459])).
% 1.76/1.93 tff(1461,plain,
% 1.76/1.93 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[1460, 1453])).
% 1.76/1.93 tff(1462,plain,
% 1.76/1.93 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(1463,plain,
% 1.76/1.93 (((~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(1464,plain,
% 1.76/1.93 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.93 inference(monotonicity,[status(thm)],[1463])).
% 1.76/1.93 tff(1465,plain,
% 1.76/1.93 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.93 inference(transitivity,[status(thm)],[1464, 1462])).
% 1.76/1.93 tff(1466,plain,
% 1.76/1.93 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.93 inference(quant_inst,[status(thm)],[])).
% 1.76/1.93 tff(1467,plain,
% 1.76/1.93 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.93 inference(modus_ponens,[status(thm)],[1466, 1465])).
% 1.76/1.93 tff(1468,plain,
% 1.76/1.93 ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[1467, 1461, 95, 286])).
% 1.76/1.93 tff(1469,plain,
% 1.76/1.93 (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[1468, 1451, 1296, 1294])).
% 1.76/1.93 tff(1470,plain,
% 1.76/1.93 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[699, 1451, 1296, 1336])).
% 1.76/1.93 tff(1471,plain,
% 1.76/1.93 ($false),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[1347, 1470, 1469, 1, 3])).
% 1.76/1.93 tff(1472,plain,(ssPv2(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.76/1.93 tff(1473,plain,
% 1.76/1.93 (ssPv2(skf1(skf1(elem!0)))),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[1472, 3, 1])).
% 1.76/1.93 tff(1474,plain,
% 1.76/1.93 (~ssPv1(skf1(elem!0))),
% 1.76/1.93 inference(unit_resolution,[status(thm)],[986, 2, 1, 3])).
% 1.76/1.93 tff(1475,assumption,(ssPv4(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.76/1.93 tff(1476,plain,
% 1.76/1.93 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(elem!0)) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(elem!0)) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.93 inference(rewrite,[status(thm)],[])).
% 1.76/1.93 tff(1477,plain,
% 1.76/1.93 ((ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0))) <=> (ssPv1(skf1(elem!0)) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(1478,plain,
% 1.76/1.94 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(elem!0)) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[1477])).
% 1.76/1.94 tff(1479,plain,
% 1.76/1.94 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(elem!0)) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.94 inference(transitivity,[status(thm)],[1478, 1476])).
% 1.76/1.94 tff(1480,plain,
% 1.76/1.94 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)))),
% 1.76/1.94 inference(quant_inst,[status(thm)],[])).
% 1.76/1.94 tff(1481,plain,
% 1.76/1.94 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(elem!0)) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[1480, 1479])).
% 1.76/1.94 tff(1482,plain,
% 1.76/1.94 (ssPv1(skf1(elem!0)) | ssPv2(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[1481, 276, 18, 16])).
% 1.76/1.94 tff(1483,plain,
% 1.76/1.94 (ssPv2(skf1(elem!0))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[1482, 1475, 6, 2])).
% 1.76/1.94 tff(1484,plain,
% 1.76/1.94 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(1485,plain,
% 1.76/1.94 ((ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0)))) <=> (ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(1486,plain,
% 1.76/1.94 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0))))))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[1485])).
% 1.76/1.94 tff(1487,plain,
% 1.76/1.94 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.76/1.94 inference(transitivity,[status(thm)],[1486, 1484])).
% 1.76/1.94 tff(1488,plain,
% 1.76/1.94 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.76/1.94 inference(quant_inst,[status(thm)],[])).
% 1.76/1.94 tff(1489,plain,
% 1.76/1.94 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0))))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[1488, 1487])).
% 1.76/1.94 tff(1490,plain,
% 1.76/1.94 (ssPv2(elem!0) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0))))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[1489, 105, 133, 18])).
% 1.76/1.94 tff(1491,plain,
% 1.76/1.94 (ssPv2(elem!0) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(elem!0)))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[1490, 1267])).
% 1.76/1.94 tff(1492,plain,
% 1.76/1.94 (ssPv2(elem!0)),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[1491, 1483, 6])).
% 1.76/1.94 tff(1493,plain,
% 1.76/1.94 (~ssPv4(elem!0)),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[878, 1492, 918, 1483])).
% 1.76/1.94 tff(1494,plain,
% 1.76/1.94 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | (ssPv4(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(1495,plain,
% 1.76/1.94 (((~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0))))) <=> (ssPv4(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(1496,plain,
% 1.76/1.94 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | (ssPv4(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[1495])).
% 1.76/1.94 tff(1497,plain,
% 1.76/1.94 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.94 inference(transitivity,[status(thm)],[1496, 1494])).
% 1.76/1.94 tff(1498,plain,
% 1.76/1.94 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.76/1.94 inference(quant_inst,[status(thm)],[])).
% 1.76/1.94 tff(1499,plain,
% 1.76/1.94 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[1498, 1497])).
% 1.76/1.94 tff(1500,plain,
% 1.76/1.94 (ssPv4(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[1499, 638, 18, 16])).
% 1.76/1.94 tff(1501,plain,
% 1.76/1.94 (ssPv4(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[1500, 1267])).
% 1.76/1.94 tff(1502,plain,
% 1.76/1.94 (ssPv4(skf1(elem!0))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[1501, 1483, 1475])).
% 1.76/1.94 tff(1503,plain,
% 1.76/1.94 (((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(1504,plain,
% 1.76/1.94 ((ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(1505,plain,
% 1.76/1.94 (((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[1504])).
% 1.76/1.94 tff(1506,plain,
% 1.76/1.94 (((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.76/1.94 inference(transitivity,[status(thm)],[1505, 1503])).
% 1.76/1.94 tff(1507,plain,
% 1.76/1.94 ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.76/1.94 inference(quant_inst,[status(thm)],[])).
% 1.76/1.94 tff(1508,plain,
% 1.76/1.94 ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv3(V) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[1507, 1506])).
% 1.76/1.94 tff(1509,plain,
% 1.76/1.94 (ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[1508, 551, 18, 16])).
% 1.76/1.94 tff(1510,plain,
% 1.76/1.94 (ssPv3(skf1(elem!0))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[1509, 1502, 1483, 2])).
% 1.76/1.94 tff(1511,plain,
% 1.76/1.94 (~ssPv4(skf1(skf1(elem!0)))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[886, 1510, 1492, 1493])).
% 1.76/1.94 tff(1512,plain,
% 1.76/1.94 (~ssPv3(elem!0)),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[785, 1510, 918, 1511])).
% 1.76/1.94 tff(1513,plain,
% 1.76/1.94 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | (ssPv3(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | ssPv3(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(1514,plain,
% 1.76/1.94 ((ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(elem!0)) <=> (ssPv3(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(1515,plain,
% 1.76/1.94 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(elem!0))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | (ssPv3(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0)))))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[1514])).
% 1.76/1.94 tff(1516,plain,
% 1.76/1.94 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(elem!0))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | ssPv3(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))))),
% 1.76/1.94 inference(transitivity,[status(thm)],[1515, 1513])).
% 1.76/1.94 tff(1517,plain,
% 1.76/1.94 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(elem!0))),
% 1.76/1.94 inference(quant_inst,[status(thm)],[])).
% 1.76/1.94 tff(1518,plain,
% 1.76/1.94 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W))) | ssPv3(elem!0) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0)))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[1517, 1516])).
% 1.76/1.94 tff(1519,plain,
% 1.76/1.94 (ssPv3(elem!0) | ssPv4(elem!0) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0)))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[1518, 656, 133, 18])).
% 1.76/1.94 tff(1520,plain,
% 1.76/1.94 (ssPv3(elem!0) | ssPv4(elem!0) | ssPv4(skf1(skf1(elem!0)))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[1519, 1267])).
% 1.76/1.94 tff(1521,plain,
% 1.76/1.94 ($false),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[1520, 1512, 1493, 1511])).
% 1.76/1.94 tff(1522,plain,((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.76/1.94 tff(1523,plain,
% 1.76/1.94 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[1522, 2, 1473, 6])).
% 1.76/1.94 tff(1524,assumption,(~ssPv4(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.76/1.94 tff(1525,plain,
% 1.76/1.94 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(1526,plain,
% 1.76/1.94 ((ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(1527,plain,
% 1.76/1.94 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[1526])).
% 1.76/1.94 tff(1528,plain,
% 1.76/1.94 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.94 inference(transitivity,[status(thm)],[1527, 1525])).
% 1.76/1.94 tff(1529,plain,
% 1.76/1.94 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.76/1.94 inference(quant_inst,[status(thm)],[])).
% 1.76/1.94 tff(1530,plain,
% 1.76/1.94 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(V) | ssPv4(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[1529, 1528])).
% 1.76/1.94 tff(1531,plain,
% 1.76/1.94 ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[1530, 84, 16, 95])).
% 1.76/1.94 tff(1532,plain,
% 1.76/1.94 (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[1531, 1267])).
% 1.76/1.94 tff(1533,plain,
% 1.76/1.94 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[1532, 1524, 1])).
% 1.76/1.94 tff(1534,plain,
% 1.76/1.94 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[926, 93, 2, 1533])).
% 1.76/1.94 tff(1535,plain,
% 1.76/1.94 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(1536,plain,
% 1.76/1.94 ((ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(1537,plain,
% 1.76/1.94 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.94 inference(monotonicity,[status(thm)],[1536])).
% 1.76/1.94 tff(1538,plain,
% 1.76/1.94 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.94 inference(transitivity,[status(thm)],[1537, 1535])).
% 1.76/1.94 tff(1539,plain,
% 1.76/1.94 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.94 inference(quant_inst,[status(thm)],[])).
% 1.76/1.94 tff(1540,plain,
% 1.76/1.94 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv3(Z) | ssPv4(V) | (~ssRr(X, Y)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.94 inference(modus_ponens,[status(thm)],[1539, 1538])).
% 1.76/1.94 tff(1541,plain,
% 1.76/1.94 (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[1540, 123, 16, 95])).
% 1.76/1.94 tff(1542,plain,
% 1.76/1.94 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.94 inference(unit_resolution,[status(thm)],[1541, 371, 2, 93])).
% 1.76/1.94 tff(1543,plain,
% 1.76/1.94 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.94 inference(rewrite,[status(thm)],[])).
% 1.76/1.94 tff(1544,plain,
% 1.76/1.94 (((~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) <=> (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(1545,plain,
% 1.76/1.95 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[1544])).
% 1.76/1.95 tff(1546,plain,
% 1.76/1.95 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.95 inference(transitivity,[status(thm)],[1545, 1543])).
% 1.76/1.95 tff(1547,plain,
% 1.76/1.95 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.95 inference(quant_inst,[status(thm)],[])).
% 1.76/1.95 tff(1548,plain,
% 1.76/1.95 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[1547, 1546])).
% 1.76/1.95 tff(1549,plain,
% 1.76/1.95 (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[1548, 66, 95, 286])).
% 1.76/1.95 tff(1550,plain,
% 1.76/1.95 (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[1549, 371, 3, 2])).
% 1.76/1.95 tff(1551,plain,
% 1.76/1.95 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(1552,plain,
% 1.76/1.95 (((~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(1553,plain,
% 1.76/1.95 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ((~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[1552])).
% 1.76/1.95 tff(1554,plain,
% 1.76/1.95 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ((~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.95 inference(transitivity,[status(thm)],[1553, 1551])).
% 1.76/1.95 tff(1555,plain,
% 1.76/1.95 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ((~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.95 inference(quant_inst,[status(thm)],[])).
% 1.76/1.95 tff(1556,plain,
% 1.76/1.95 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[1555, 1554])).
% 1.76/1.95 tff(1557,plain,
% 1.76/1.95 (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[1556, 258, 95, 286])).
% 1.76/1.95 tff(1558,plain,
% 1.76/1.95 (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[1557, 371, 3, 2])).
% 1.76/1.95 tff(1559,plain,
% 1.76/1.95 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[1347, 1558, 1, 3])).
% 1.76/1.95 tff(1560,plain,
% 1.76/1.95 (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[1355, 1559, 919, 1550])).
% 1.76/1.95 tff(1561,plain,
% 1.76/1.95 (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[1379, 1560, 919, 1542])).
% 1.76/1.95 tff(1562,plain,
% 1.76/1.95 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(1563,plain,
% 1.76/1.95 ((ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(1564,plain,
% 1.76/1.95 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[1563])).
% 1.76/1.95 tff(1565,plain,
% 1.76/1.95 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.95 inference(transitivity,[status(thm)],[1564, 1562])).
% 1.76/1.95 tff(1566,plain,
% 1.76/1.95 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.95 inference(quant_inst,[status(thm)],[])).
% 1.76/1.95 tff(1567,plain,
% 1.76/1.95 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[1566, 1565])).
% 1.76/1.95 tff(1568,plain,
% 1.76/1.95 (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[1567, 322, 286, 386])).
% 1.76/1.95 tff(1569,plain,
% 1.76/1.95 ($false),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[1568, 1561, 1560, 1542, 371])).
% 1.76/1.95 tff(1570,plain,(ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.76/1.95 tff(1571,plain,
% 1.76/1.95 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[1570, 93, 1, 3, 2, 1533])).
% 1.76/1.95 tff(1572,plain,
% 1.76/1.95 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(1573,plain,
% 1.76/1.95 (((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(elem!0))))) <=> ((~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(1574,plain,
% 1.76/1.95 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[1573])).
% 1.76/1.95 tff(1575,plain,
% 1.76/1.95 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.95 inference(transitivity,[status(thm)],[1574, 1572])).
% 1.76/1.95 tff(1576,plain,
% 1.76/1.95 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.76/1.95 inference(quant_inst,[status(thm)],[])).
% 1.76/1.95 tff(1577,plain,
% 1.76/1.95 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[1576, 1575])).
% 1.76/1.95 tff(1578,plain,
% 1.76/1.95 ((~ssPv2(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[1577, 232, 16, 95])).
% 1.76/1.95 tff(1579,plain,
% 1.76/1.95 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[1578, 1571, 1473, 1534])).
% 1.76/1.95 tff(1580,plain,
% 1.76/1.95 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(1581,plain,
% 1.76/1.95 ((ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(1582,plain,
% 1.76/1.95 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[1581])).
% 1.76/1.95 tff(1583,plain,
% 1.76/1.95 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.95 inference(transitivity,[status(thm)],[1582, 1580])).
% 1.76/1.95 tff(1584,plain,
% 1.76/1.95 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.95 inference(quant_inst,[status(thm)],[])).
% 1.76/1.95 tff(1585,plain,
% 1.76/1.95 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv2(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.95 inference(modus_ponens,[status(thm)],[1584, 1583])).
% 1.76/1.95 tff(1586,plain,
% 1.76/1.95 (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[1585, 105, 95, 286])).
% 1.76/1.95 tff(1587,plain,
% 1.76/1.95 (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.95 inference(unit_resolution,[status(thm)],[1586, 1579, 1, 1534])).
% 1.76/1.95 tff(1588,plain,
% 1.76/1.95 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(1589,plain,
% 1.76/1.95 ((ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.95 inference(rewrite,[status(thm)],[])).
% 1.76/1.95 tff(1590,plain,
% 1.76/1.95 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.95 inference(monotonicity,[status(thm)],[1589])).
% 1.76/1.95 tff(1591,plain,
% 1.76/1.95 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.95 inference(transitivity,[status(thm)],[1590, 1588])).
% 1.76/1.95 tff(1592,plain,
% 1.76/1.95 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.96 inference(quant_inst,[status(thm)],[])).
% 1.76/1.96 tff(1593,plain,
% 1.76/1.96 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[1592, 1591])).
% 1.76/1.96 tff(1594,plain,
% 1.76/1.96 (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1593, 212, 95, 286])).
% 1.76/1.96 tff(1595,plain,
% 1.76/1.96 ($false),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1594, 1587, 1579, 1, 1524])).
% 1.76/1.96 tff(1596,plain,(ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.76/1.96 tff(1597,plain,
% 1.76/1.96 (ssPv1(skf1(skf1(elem!0)))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1596, 1523, 1, 3, 2])).
% 1.76/1.96 tff(1598,plain,
% 1.76/1.96 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1532, 1523, 1])).
% 1.76/1.96 tff(1599,plain,
% 1.76/1.96 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1313, 1597, 1598])).
% 1.76/1.96 tff(1600,plain,
% 1.76/1.96 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(1601,plain,
% 1.76/1.96 ((ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0))))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(1602,plain,
% 1.76/1.96 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[1601])).
% 1.76/1.96 tff(1603,plain,
% 1.76/1.96 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.96 inference(transitivity,[status(thm)],[1602, 1600])).
% 1.76/1.96 tff(1604,plain,
% 1.76/1.96 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.76/1.96 inference(quant_inst,[status(thm)],[])).
% 1.76/1.96 tff(1605,plain,
% 1.76/1.96 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[1604, 1603])).
% 1.76/1.96 tff(1606,plain,
% 1.76/1.96 (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1605, 1231, 16, 95])).
% 1.76/1.96 tff(1607,plain,
% 1.76/1.96 (~ssPv1(skf1(skf1(elem!0)))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1606, 7, 3, 1533])).
% 1.76/1.96 tff(1608,plain,
% 1.76/1.96 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(1609,plain,
% 1.76/1.96 ((ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0)))) <=> (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(1610,plain,
% 1.76/1.96 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[1609])).
% 1.76/1.96 tff(1611,plain,
% 1.76/1.96 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.96 inference(transitivity,[status(thm)],[1610, 1608])).
% 1.76/1.96 tff(1612,plain,
% 1.76/1.96 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))))),
% 1.76/1.96 inference(quant_inst,[status(thm)],[])).
% 1.76/1.96 tff(1613,plain,
% 1.76/1.96 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[1612, 1611])).
% 1.76/1.96 tff(1614,plain,
% 1.76/1.96 (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1613, 525, 16, 95])).
% 1.76/1.96 tff(1615,plain,
% 1.76/1.96 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1614, 1607, 7, 3])).
% 1.76/1.96 tff(1616,plain,
% 1.76/1.96 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(1617,plain,
% 1.76/1.96 ((ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0))))) <=> (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(1618,plain,
% 1.76/1.96 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[1617])).
% 1.76/1.96 tff(1619,plain,
% 1.76/1.96 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.96 inference(transitivity,[status(thm)],[1618, 1616])).
% 1.76/1.96 tff(1620,plain,
% 1.76/1.96 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.96 inference(quant_inst,[status(thm)],[])).
% 1.76/1.96 tff(1621,plain,
% 1.76/1.96 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[1620, 1619])).
% 1.76/1.96 tff(1622,plain,
% 1.76/1.96 (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1621, 833, 16, 95])).
% 1.76/1.96 tff(1623,plain,
% 1.76/1.96 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1622, 1607, 1, 7])).
% 1.76/1.96 tff(1624,plain,
% 1.76/1.96 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1578, 1623, 1473, 1615])).
% 1.76/1.96 tff(1625,plain,
% 1.76/1.96 (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1586, 1624, 1, 1615])).
% 1.76/1.96 tff(1626,plain,
% 1.76/1.96 ($false),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1594, 1625, 1624, 1, 1524])).
% 1.76/1.96 tff(1627,plain,(ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.76/1.96 tff(1628,plain,
% 1.76/1.96 (ssPv4(skf1(skf1(elem!0)))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1627, 1523, 1, 3])).
% 1.76/1.96 tff(1629,plain,
% 1.76/1.96 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[738, 1597, 2, 1628])).
% 1.76/1.96 tff(1630,plain,
% 1.76/1.96 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(1631,plain,
% 1.76/1.96 ((ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(1632,plain,
% 1.76/1.96 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[1631])).
% 1.76/1.96 tff(1633,plain,
% 1.76/1.96 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.96 inference(transitivity,[status(thm)],[1632, 1630])).
% 1.76/1.96 tff(1634,plain,
% 1.76/1.96 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.76/1.96 inference(quant_inst,[status(thm)],[])).
% 1.76/1.96 tff(1635,plain,
% 1.76/1.96 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[1634, 1633])).
% 1.76/1.96 tff(1636,plain,
% 1.76/1.96 ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1635, 1111, 16, 95])).
% 1.76/1.96 tff(1637,plain,
% 1.76/1.96 ((~ssPv1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1636, 1267])).
% 1.76/1.96 tff(1638,plain,
% 1.76/1.96 ($false),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1637, 1629, 1599, 1597])).
% 1.76/1.96 tff(1639,plain,(ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.76/1.96 tff(1640,plain,
% 1.76/1.96 ($false),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1639, 1474, 2, 1, 3])).
% 1.76/1.96 tff(1641,plain,(ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.76/1.96 tff(1642,plain,
% 1.76/1.96 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1641, 3, 1])).
% 1.76/1.96 tff(1643,plain,
% 1.76/1.96 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(1644,plain,
% 1.76/1.96 ((ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0))) <=> (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(1645,plain,
% 1.76/1.96 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[1644])).
% 1.76/1.96 tff(1646,plain,
% 1.76/1.96 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.96 inference(transitivity,[status(thm)],[1645, 1643])).
% 1.76/1.96 tff(1647,plain,
% 1.76/1.96 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)))),
% 1.76/1.96 inference(quant_inst,[status(thm)],[])).
% 1.76/1.96 tff(1648,plain,
% 1.76/1.96 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv2(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[1647, 1646])).
% 1.76/1.96 tff(1649,plain,
% 1.76/1.96 (ssPv2(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1648, 750, 18, 16])).
% 1.76/1.96 tff(1650,plain,
% 1.76/1.96 (ssPv2(skf1(elem!0))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1649, 1642, 3, 1473])).
% 1.76/1.96 tff(1651,plain,
% 1.76/1.96 (ssPv2(elem!0)),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1491, 6, 1650])).
% 1.76/1.96 tff(1652,plain,
% 1.76/1.96 (~ssPv4(elem!0)),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[878, 1651, 1473, 1650])).
% 1.76/1.96 tff(1653,plain,
% 1.76/1.96 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | (ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(1654,plain,
% 1.76/1.96 (((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))) <=> (ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.96 inference(rewrite,[status(thm)],[])).
% 1.76/1.96 tff(1655,plain,
% 1.76/1.96 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | (ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.96 inference(monotonicity,[status(thm)],[1654])).
% 1.76/1.96 tff(1656,plain,
% 1.76/1.96 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.96 inference(transitivity,[status(thm)],[1655, 1653])).
% 1.76/1.96 tff(1657,plain,
% 1.76/1.96 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.96 inference(quant_inst,[status(thm)],[])).
% 1.76/1.96 tff(1658,plain,
% 1.76/1.96 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv3(W) | ssPv4(X) | (~ssPv3(V)))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.96 inference(modus_ponens,[status(thm)],[1657, 1656])).
% 1.76/1.96 tff(1659,plain,
% 1.76/1.96 (ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1658, 258, 18, 16])).
% 1.76/1.96 tff(1660,plain,
% 1.76/1.96 (ssPv3(skf1(elem!0))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1659, 7, 6, 372])).
% 1.76/1.96 tff(1661,assumption,(~ssPv4(elem!0)), introduced(assumption)).
% 1.76/1.96 tff(1662,plain,
% 1.76/1.96 (ssPv3(elem!0)),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1520, 7, 1661])).
% 1.76/1.96 tff(1663,plain,
% 1.76/1.96 ($false),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[785, 1662, 1660, 918, 7])).
% 1.76/1.96 tff(1664,plain,(ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.76/1.96 tff(1665,plain,
% 1.76/1.96 (ssPv4(skf1(skf1(elem!0)))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[1664, 1652, 1473, 6, 1642])).
% 1.76/1.96 tff(1666,assumption,(ssPv2(elem!0)), introduced(assumption)).
% 1.76/1.96 tff(1667,assumption,(ssPv4(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.76/1.96 tff(1668,assumption,(ssPv2(skf1(elem!0))), introduced(assumption)).
% 1.76/1.96 tff(1669,plain,
% 1.76/1.96 (ssPv3(skf1(elem!0))),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[868, 1667, 1668, 1475])).
% 1.76/1.96 tff(1670,plain,
% 1.76/1.96 ($false),
% 1.76/1.96 inference(unit_resolution,[status(thm)],[886, 1669, 1667, 1666, 1661])).
% 1.76/1.96 tff(1671,plain,((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(elem!0)) | ssPv4(elem!0) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.76/1.97 tff(1672,plain,
% 1.76/1.97 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[1671, 1665, 1652, 1650, 1651])).
% 1.76/1.97 tff(1673,plain,
% 1.76/1.97 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[1532, 1672, 1])).
% 1.76/1.97 tff(1674,plain,
% 1.76/1.97 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(1675,plain,
% 1.76/1.97 (((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(elem!0))))) <=> ((~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(1676,plain,
% 1.76/1.97 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.97 inference(monotonicity,[status(thm)],[1675])).
% 1.76/1.97 tff(1677,plain,
% 1.76/1.97 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.97 inference(transitivity,[status(thm)],[1676, 1674])).
% 1.76/1.97 tff(1678,plain,
% 1.76/1.97 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.76/1.97 inference(quant_inst,[status(thm)],[])).
% 1.76/1.97 tff(1679,plain,
% 1.76/1.97 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[1678, 1677])).
% 1.76/1.97 tff(1680,plain,
% 1.76/1.97 ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[1679, 1461, 16, 95])).
% 1.76/1.97 tff(1681,plain,
% 1.76/1.97 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[1680, 1673, 1642, 1665])).
% 1.76/1.97 tff(1682,plain,
% 1.76/1.97 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(1683,plain,
% 1.76/1.97 ((ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) <=> (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(1684,plain,
% 1.76/1.97 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.97 inference(monotonicity,[status(thm)],[1683])).
% 1.76/1.97 tff(1685,plain,
% 1.76/1.97 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.97 inference(transitivity,[status(thm)],[1684, 1682])).
% 1.76/1.97 tff(1686,plain,
% 1.76/1.97 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.97 inference(quant_inst,[status(thm)],[])).
% 1.76/1.97 tff(1687,plain,
% 1.76/1.97 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | ssPv2(X))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[1686, 1685])).
% 1.76/1.97 tff(1688,plain,
% 1.76/1.97 (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[1687, 833, 95, 286])).
% 1.76/1.97 tff(1689,plain,
% 1.76/1.97 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[1688, 1681, 3, 1672])).
% 1.76/1.97 tff(1690,plain,
% 1.76/1.97 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[1347, 1689, 1, 3])).
% 1.76/1.97 tff(1691,plain,
% 1.76/1.97 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(1692,plain,
% 1.76/1.97 ((ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))) <=> (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(1693,plain,
% 1.76/1.97 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.97 inference(monotonicity,[status(thm)],[1692])).
% 1.76/1.97 tff(1694,plain,
% 1.76/1.97 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.97 inference(transitivity,[status(thm)],[1693, 1691])).
% 1.76/1.97 tff(1695,plain,
% 1.76/1.97 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.97 inference(quant_inst,[status(thm)],[])).
% 1.76/1.97 tff(1696,plain,
% 1.76/1.97 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[1695, 1694])).
% 1.76/1.97 tff(1697,plain,
% 1.76/1.97 (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[1696, 1277, 95, 286])).
% 1.76/1.97 tff(1698,plain,
% 1.76/1.97 (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[1697, 1681, 1, 1642])).
% 1.76/1.97 tff(1699,plain,
% 1.76/1.97 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(1700,plain,
% 1.76/1.97 ((ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(1701,plain,
% 1.76/1.97 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.97 inference(monotonicity,[status(thm)],[1700])).
% 1.76/1.97 tff(1702,plain,
% 1.76/1.97 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.97 inference(transitivity,[status(thm)],[1701, 1699])).
% 1.76/1.97 tff(1703,plain,
% 1.76/1.97 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.97 inference(quant_inst,[status(thm)],[])).
% 1.76/1.97 tff(1704,plain,
% 1.76/1.97 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[1703, 1702])).
% 1.76/1.97 tff(1705,plain,
% 1.76/1.97 (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[1704, 191, 95, 286])).
% 1.76/1.97 tff(1706,plain,
% 1.76/1.97 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[1705, 1681, 1, 1698])).
% 1.76/1.97 tff(1707,plain,
% 1.76/1.97 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[681, 1706, 1642, 1672])).
% 1.76/1.97 tff(1708,assumption,(ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))), introduced(assumption)).
% 1.76/1.97 tff(1709,assumption,(ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), introduced(assumption)).
% 1.76/1.97 tff(1710,assumption,(ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))), introduced(assumption)).
% 1.76/1.97 tff(1711,plain,
% 1.76/1.97 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(1712,plain,
% 1.76/1.97 ((ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(1713,plain,
% 1.76/1.97 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))))),
% 1.76/1.97 inference(monotonicity,[status(thm)],[1712])).
% 1.76/1.97 tff(1714,plain,
% 1.76/1.97 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.76/1.97 inference(transitivity,[status(thm)],[1713, 1711])).
% 1.76/1.97 tff(1715,plain,
% 1.76/1.97 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.97 inference(quant_inst,[status(thm)],[])).
% 1.76/1.97 tff(1716,plain,
% 1.76/1.97 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.97 inference(modus_ponens,[status(thm)],[1715, 1714])).
% 1.76/1.97 tff(1717,plain,
% 1.76/1.97 (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[1716, 1111, 386, 439])).
% 1.76/1.97 tff(1718,plain,
% 1.76/1.97 (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[1717, 1708, 1710, 1709])).
% 1.76/1.97 tff(1719,assumption,(ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))), introduced(assumption)).
% 1.76/1.97 tff(1720,plain,
% 1.76/1.97 (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.97 inference(unit_resolution,[status(thm)],[1416, 1708, 1709, 1719])).
% 1.76/1.97 tff(1721,plain,
% 1.76/1.97 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.97 tff(1722,plain,
% 1.76/1.97 (((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.76/1.97 inference(rewrite,[status(thm)],[])).
% 1.76/1.98 tff(1723,plain,
% 1.76/1.98 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))))),
% 1.76/1.98 inference(monotonicity,[status(thm)],[1722])).
% 1.76/1.98 tff(1724,plain,
% 1.76/1.98 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.76/1.98 inference(transitivity,[status(thm)],[1723, 1721])).
% 1.76/1.98 tff(1725,plain,
% 1.76/1.98 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.98 inference(quant_inst,[status(thm)],[])).
% 1.76/1.98 tff(1726,plain,
% 1.76/1.98 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((~ssPv1(X1)) | (~ssPv2(Y)) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.98 inference(modus_ponens,[status(thm)],[1725, 1724])).
% 1.76/1.98 tff(1727,plain,
% 1.76/1.98 ((~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.98 inference(unit_resolution,[status(thm)],[1726, 232, 386, 439])).
% 1.76/1.98 tff(1728,plain,
% 1.76/1.98 ($false),
% 1.76/1.98 inference(unit_resolution,[status(thm)],[1727, 1720, 1718, 384, 1708])).
% 1.76/1.98 tff(1729,plain,((~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))), inference(lemma,lemma(discharge,[]))).
% 1.76/1.98 tff(1730,plain,
% 1.76/1.98 (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.98 inference(unit_resolution,[status(thm)],[1729, 1707, 1698, 1689, 1690])).
% 1.76/1.98 tff(1731,plain,
% 1.76/1.98 (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.98 inference(unit_resolution,[status(thm)],[1424, 1730, 1698, 1689])).
% 1.76/1.98 tff(1732,plain,
% 1.76/1.98 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.98 inference(rewrite,[status(thm)],[])).
% 1.76/1.98 tff(1733,plain,
% 1.76/1.98 (((~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.98 inference(rewrite,[status(thm)],[])).
% 1.76/1.98 tff(1734,plain,
% 1.76/1.98 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.76/1.98 inference(monotonicity,[status(thm)],[1733])).
% 1.76/1.98 tff(1735,plain,
% 1.76/1.98 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.98 inference(transitivity,[status(thm)],[1734, 1732])).
% 1.76/1.98 tff(1736,plain,
% 1.76/1.98 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.98 inference(quant_inst,[status(thm)],[])).
% 1.76/1.98 tff(1737,plain,
% 1.76/1.98 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.98 inference(modus_ponens,[status(thm)],[1736, 1735])).
% 1.76/1.98 tff(1738,plain,
% 1.76/1.98 ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.98 inference(unit_resolution,[status(thm)],[1737, 1461, 286, 386])).
% 1.76/1.98 tff(1739,plain,
% 1.76/1.98 (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.76/1.98 inference(unit_resolution,[status(thm)],[1738, 1731, 1706, 1690])).
% 1.76/1.98 tff(1740,plain,
% 1.76/1.98 (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.76/1.98 inference(unit_resolution,[status(thm)],[1448, 1730, 1698, 1731])).
% 1.76/1.98 tff(1741,plain,
% 1.76/1.98 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.98 inference(rewrite,[status(thm)],[])).
% 1.76/1.98 tff(1742,plain,
% 1.76/1.98 ((ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.76/1.98 inference(rewrite,[status(thm)],[])).
% 1.76/1.98 tff(1743,plain,
% 1.76/1.98 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.82/1.98 inference(monotonicity,[status(thm)],[1742])).
% 1.82/1.98 tff(1744,plain,
% 1.82/1.98 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/1.98 inference(transitivity,[status(thm)],[1743, 1741])).
% 1.82/1.98 tff(1745,plain,
% 1.82/1.98 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/1.98 inference(quant_inst,[status(thm)],[])).
% 1.82/1.98 tff(1746,plain,
% 1.82/1.98 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[1745, 1744])).
% 1.82/1.98 tff(1747,plain,
% 1.82/1.98 (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1746, 1065, 286, 386])).
% 1.82/1.98 tff(1748,plain,
% 1.82/1.98 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1747, 1731, 1673, 1681])).
% 1.82/1.98 tff(1749,plain,
% 1.82/1.98 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.82/1.98 inference(rewrite,[status(thm)],[])).
% 1.82/1.98 tff(1750,plain,
% 1.82/1.98 ((ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.82/1.98 inference(rewrite,[status(thm)],[])).
% 1.82/1.98 tff(1751,plain,
% 1.82/1.98 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))))),
% 1.82/1.98 inference(monotonicity,[status(thm)],[1750])).
% 1.82/1.98 tff(1752,plain,
% 1.82/1.98 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.82/1.98 inference(transitivity,[status(thm)],[1751, 1749])).
% 1.82/1.98 tff(1753,plain,
% 1.82/1.98 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/1.98 inference(quant_inst,[status(thm)],[])).
% 1.82/1.98 tff(1754,plain,
% 1.82/1.98 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[1753, 1752])).
% 1.82/1.98 tff(1755,plain,
% 1.82/1.98 ((~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1754, 692, 386, 439])).
% 1.82/1.98 tff(1756,plain,
% 1.82/1.98 (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1755, 1731, 1690, 1730])).
% 1.82/1.98 tff(1757,plain,
% 1.82/1.98 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/1.98 inference(quant_inst,[status(thm)],[])).
% 1.82/1.98 tff(1758,plain,
% 1.82/1.98 (ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1757, 14])).
% 1.82/1.98 tff(1759,plain,
% 1.82/1.98 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/1.98 inference(rewrite,[status(thm)],[])).
% 1.82/1.98 tff(1760,plain,
% 1.82/1.98 ((ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/1.98 inference(rewrite,[status(thm)],[])).
% 1.82/1.98 tff(1761,plain,
% 1.82/1.98 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.82/1.98 inference(monotonicity,[status(thm)],[1760])).
% 1.82/1.98 tff(1762,plain,
% 1.82/1.98 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/1.99 inference(transitivity,[status(thm)],[1761, 1759])).
% 1.82/1.99 tff(1763,plain,
% 1.82/1.99 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/1.99 inference(quant_inst,[status(thm)],[])).
% 1.82/1.99 tff(1764,plain,
% 1.82/1.99 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(X) | (~ssPv3(W)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/1.99 inference(modus_ponens,[status(thm)],[1763, 1762])).
% 1.82/1.99 tff(1765,plain,
% 1.82/1.99 ((~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1764, 1277, 439, 1758])).
% 1.82/1.99 tff(1766,plain,
% 1.82/1.99 (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1765, 1739, 1756, 1731])).
% 1.82/1.99 tff(1767,plain,
% 1.82/1.99 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.82/1.99 inference(rewrite,[status(thm)],[])).
% 1.82/1.99 tff(1768,plain,
% 1.82/1.99 (((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.82/1.99 inference(rewrite,[status(thm)],[])).
% 1.82/1.99 tff(1769,plain,
% 1.82/1.99 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))))),
% 1.82/1.99 inference(monotonicity,[status(thm)],[1768])).
% 1.82/1.99 tff(1770,plain,
% 1.82/1.99 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.82/1.99 inference(transitivity,[status(thm)],[1769, 1767])).
% 1.82/1.99 tff(1771,plain,
% 1.82/1.99 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/1.99 inference(quant_inst,[status(thm)],[])).
% 1.82/1.99 tff(1772,plain,
% 1.82/1.99 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/1.99 inference(modus_ponens,[status(thm)],[1771, 1770])).
% 1.82/1.99 tff(1773,plain,
% 1.82/1.99 (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1772, 342, 439, 1758])).
% 1.82/1.99 tff(1774,plain,
% 1.82/1.99 ($false),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1773, 1766, 1748, 1740, 1739])).
% 1.82/1.99 tff(1775,plain,(ssPv1(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.82/1.99 tff(1776,plain,
% 1.82/1.99 (ssPv1(skf1(elem!0))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1775, 3, 1])).
% 1.82/1.99 tff(1777,plain,
% 1.82/1.99 (ssPv4(skf1(elem!0))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[996, 1776, 1, 3])).
% 1.82/1.99 tff(1778,plain,
% 1.82/1.99 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[967, 1777, 1, 1776])).
% 1.82/1.99 tff(1779,plain,
% 1.82/1.99 (ssPv4(skf1(skf1(elem!0)))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1627, 1778, 1, 3])).
% 1.82/1.99 tff(1780,plain,
% 1.82/1.99 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1532, 1778, 1])).
% 1.82/1.99 tff(1781,plain,
% 1.82/1.99 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1680, 1780, 1642, 1779])).
% 1.82/1.99 tff(1782,plain,
% 1.82/1.99 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1688, 1781, 3, 1778])).
% 1.82/1.99 tff(1783,plain,
% 1.82/1.99 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1347, 1782, 1, 3])).
% 1.82/1.99 tff(1784,plain,
% 1.82/1.99 (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1697, 1781, 1, 1642])).
% 1.82/1.99 tff(1785,plain,
% 1.82/1.99 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1705, 1781, 1, 1784])).
% 1.82/1.99 tff(1786,plain,
% 1.82/1.99 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[681, 1785, 1642, 1778])).
% 1.82/1.99 tff(1787,plain,
% 1.82/1.99 (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1729, 1786, 1784, 1782, 1783])).
% 1.82/1.99 tff(1788,plain,
% 1.82/1.99 (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1424, 1787, 1784, 1782])).
% 1.82/1.99 tff(1789,plain,
% 1.82/1.99 (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1738, 1788, 1785, 1783])).
% 1.82/1.99 tff(1790,plain,
% 1.82/1.99 (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1448, 1787, 1784, 1788])).
% 1.82/1.99 tff(1791,plain,
% 1.82/1.99 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1747, 1788, 1780, 1781])).
% 1.82/1.99 tff(1792,plain,
% 1.82/1.99 (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1755, 1788, 1783, 1787])).
% 1.82/1.99 tff(1793,plain,
% 1.82/1.99 (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1765, 1789, 1792, 1788])).
% 1.82/1.99 tff(1794,plain,
% 1.82/1.99 ($false),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1773, 1793, 1791, 1790, 1789])).
% 1.82/1.99 tff(1795,plain,(ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.82/1.99 tff(1796,plain,
% 1.82/1.99 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1795, 1])).
% 1.82/1.99 tff(1797,plain,
% 1.82/1.99 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.82/1.99 inference(rewrite,[status(thm)],[])).
% 1.82/1.99 tff(1798,plain,
% 1.82/1.99 ((ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0)))) <=> ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.82/1.99 inference(rewrite,[status(thm)],[])).
% 1.82/1.99 tff(1799,plain,
% 1.82/1.99 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/1.99 inference(monotonicity,[status(thm)],[1798])).
% 1.82/1.99 tff(1800,plain,
% 1.82/1.99 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.82/1.99 inference(transitivity,[status(thm)],[1799, 1797])).
% 1.82/1.99 tff(1801,plain,
% 1.82/1.99 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))),
% 1.82/1.99 inference(quant_inst,[status(thm)],[])).
% 1.82/1.99 tff(1802,plain,
% 1.82/1.99 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.82/1.99 inference(modus_ponens,[status(thm)],[1801, 1800])).
% 1.82/1.99 tff(1803,plain,
% 1.82/1.99 ((~ssPv1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1802, 768, 18, 16])).
% 1.82/1.99 tff(1804,plain,
% 1.82/1.99 ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1803, 1267])).
% 1.82/1.99 tff(1805,plain,
% 1.82/1.99 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1804, 979, 1796])).
% 1.82/1.99 tff(1806,plain,
% 1.82/1.99 (ssPv4(skf1(elem!0))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1014, 979, 2, 1796])).
% 1.82/1.99 tff(1807,plain,
% 1.82/1.99 ($false),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[967, 1806, 979, 1, 1805])).
% 1.82/1.99 tff(1808,plain,((~ssPv1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.82/1.99 tff(1809,plain,
% 1.82/1.99 (~ssPv1(skf1(elem!0))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1808, 2, 1])).
% 1.82/1.99 tff(1810,plain,
% 1.82/1.99 (~ssPv3(skf1(elem!0))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[91, 4, 2, 7])).
% 1.82/1.99 tff(1811,plain,
% 1.82/1.99 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.82/1.99 inference(rewrite,[status(thm)],[])).
% 1.82/1.99 tff(1812,plain,
% 1.82/1.99 ((ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> (ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.82/1.99 inference(rewrite,[status(thm)],[])).
% 1.82/1.99 tff(1813,plain,
% 1.82/1.99 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0))))))),
% 1.82/1.99 inference(monotonicity,[status(thm)],[1812])).
% 1.82/1.99 tff(1814,plain,
% 1.82/1.99 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.82/1.99 inference(transitivity,[status(thm)],[1813, 1811])).
% 1.82/1.99 tff(1815,plain,
% 1.82/1.99 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.82/1.99 inference(quant_inst,[status(thm)],[])).
% 1.82/1.99 tff(1816,plain,
% 1.82/1.99 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0))))),
% 1.82/1.99 inference(modus_ponens,[status(thm)],[1815, 1814])).
% 1.82/1.99 tff(1817,plain,
% 1.82/1.99 (ssPv1(elem!0) | ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1816, 28, 133, 18])).
% 1.82/1.99 tff(1818,plain,
% 1.82/1.99 (ssPv1(elem!0) | ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0)))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1817, 1267])).
% 1.82/1.99 tff(1819,plain,
% 1.82/1.99 (ssPv1(elem!0)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1818, 4, 1810])).
% 1.82/1.99 tff(1820,plain,
% 1.82/1.99 (~ssPv4(elem!0)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1332, 1819, 1810, 7])).
% 1.82/1.99 tff(1821,plain,
% 1.82/1.99 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | ((~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | (~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.82/1.99 inference(rewrite,[status(thm)],[])).
% 1.82/1.99 tff(1822,plain,
% 1.82/1.99 ((ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(elem!0))) <=> ((~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.82/1.99 inference(rewrite,[status(thm)],[])).
% 1.82/1.99 tff(1823,plain,
% 1.82/1.99 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | (ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | ((~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0))))))),
% 1.82/1.99 inference(monotonicity,[status(thm)],[1822])).
% 1.82/1.99 tff(1824,plain,
% 1.82/1.99 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | (ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | (~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.82/1.99 inference(transitivity,[status(thm)],[1823, 1821])).
% 1.82/1.99 tff(1825,plain,
% 1.82/1.99 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | (ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)))),
% 1.82/1.99 inference(quant_inst,[status(thm)],[])).
% 1.82/1.99 tff(1826,plain,
% 1.82/1.99 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)) | (~ssPv1(W)))) | (~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0))))),
% 1.82/1.99 inference(modus_ponens,[status(thm)],[1825, 1824])).
% 1.82/1.99 tff(1827,plain,
% 1.82/1.99 ((~ssPv1(elem!0)) | ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1826, 1231, 133, 18])).
% 1.82/1.99 tff(1828,plain,
% 1.82/1.99 ((~ssPv1(elem!0)) | ssPv4(elem!0) | ssPv1(skf1(elem!0))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1827, 1267])).
% 1.82/1.99 tff(1829,plain,
% 1.82/1.99 ($false),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1828, 1820, 1819, 6])).
% 1.82/1.99 tff(1830,plain,(ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.82/1.99 tff(1831,plain,
% 1.82/1.99 (ssPv2(skf1(skf1(elem!0)))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1830, 7, 6, 2])).
% 1.82/1.99 tff(1832,plain,
% 1.82/1.99 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1522, 1831, 2, 6])).
% 1.82/1.99 tff(1833,plain,
% 1.82/1.99 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1532, 1832, 1])).
% 1.82/1.99 tff(1834,plain,
% 1.82/1.99 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1313, 578, 919])).
% 1.82/1.99 tff(1835,plain,
% 1.82/1.99 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/1.99 inference(rewrite,[status(thm)],[])).
% 1.82/1.99 tff(1836,plain,
% 1.82/1.99 ((ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0))))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/1.99 inference(rewrite,[status(thm)],[])).
% 1.82/1.99 tff(1837,plain,
% 1.82/1.99 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/1.99 inference(monotonicity,[status(thm)],[1836])).
% 1.82/1.99 tff(1838,plain,
% 1.82/1.99 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/1.99 inference(transitivity,[status(thm)],[1837, 1835])).
% 1.82/1.99 tff(1839,plain,
% 1.82/1.99 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.82/1.99 inference(quant_inst,[status(thm)],[])).
% 1.82/1.99 tff(1840,plain,
% 1.82/1.99 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/1.99 inference(modus_ponens,[status(thm)],[1839, 1838])).
% 1.82/1.99 tff(1841,plain,
% 1.82/1.99 (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1840, 322, 16, 95])).
% 1.82/1.99 tff(1842,plain,
% 1.82/1.99 ($false),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1841, 1834, 578, 7, 919])).
% 1.82/1.99 tff(1843,plain,((~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))), inference(lemma,lemma(discharge,[]))).
% 1.82/1.99 tff(1844,plain,
% 1.82/1.99 (~ssPv1(skf1(skf1(elem!0)))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1843, 7, 1833])).
% 1.82/1.99 tff(1845,plain,
% 1.82/1.99 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1622, 1844, 1, 7])).
% 1.82/1.99 tff(1846,plain,
% 1.82/1.99 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[926, 1844, 2, 1833])).
% 1.82/1.99 tff(1847,plain,
% 1.82/2.00 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1578, 1846, 1831, 1845])).
% 1.82/2.00 tff(1848,plain,
% 1.82/2.00 (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1586, 1847, 1, 1846])).
% 1.82/2.00 tff(1849,plain,
% 1.82/2.00 ($false),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1594, 1848, 1847, 1, 1832])).
% 1.82/2.00 tff(1850,plain,(ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.00 tff(1851,plain,
% 1.82/2.00 (ssPv4(skf1(skf1(elem!0)))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1850, 1809, 2, 1])).
% 1.82/2.00 tff(1852,plain,
% 1.82/2.00 (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1038, 1294, 1, 1796])).
% 1.82/2.00 tff(1853,plain,
% 1.82/2.00 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(1854,plain,
% 1.82/2.00 ((ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv2(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(1855,plain,
% 1.82/2.00 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.00 inference(monotonicity,[status(thm)],[1854])).
% 1.82/2.00 tff(1856,plain,
% 1.82/2.00 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.00 inference(transitivity,[status(thm)],[1855, 1853])).
% 1.82/2.00 tff(1857,plain,
% 1.82/2.00 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.82/2.00 inference(quant_inst,[status(thm)],[])).
% 1.82/2.00 tff(1858,plain,
% 1.82/2.00 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[1857, 1856])).
% 1.82/2.00 tff(1859,plain,
% 1.82/2.00 (ssPv2(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1858, 1257, 16, 95])).
% 1.82/2.00 tff(1860,plain,
% 1.82/2.00 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1859, 4, 1, 1796])).
% 1.82/2.00 tff(1861,plain,
% 1.82/2.00 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1304, 1860, 4])).
% 1.82/2.00 tff(1862,plain,
% 1.82/2.00 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1054, 1861, 1796, 1294])).
% 1.82/2.00 tff(1863,plain,
% 1.82/2.00 ($false),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1046, 1862, 1852, 1796, 1294])).
% 1.82/2.00 tff(1864,plain,(ssPv2(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.00 tff(1865,plain,
% 1.82/2.00 (ssPv2(skf1(skf1(elem!0)))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1864, 1])).
% 1.82/2.00 tff(1866,plain,
% 1.82/2.00 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(1867,plain,
% 1.82/2.00 ((ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0))) <=> (ssPv1(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(1868,plain,
% 1.82/2.00 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.00 inference(monotonicity,[status(thm)],[1867])).
% 1.82/2.00 tff(1869,plain,
% 1.82/2.00 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.82/2.00 inference(transitivity,[status(thm)],[1868, 1866])).
% 1.82/2.00 tff(1870,plain,
% 1.82/2.00 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)))),
% 1.82/2.00 inference(quant_inst,[status(thm)],[])).
% 1.82/2.00 tff(1871,plain,
% 1.82/2.00 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[1870, 1869])).
% 1.82/2.00 tff(1872,plain,
% 1.82/2.00 (ssPv1(skf1(elem!0)) | ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1871, 525, 18, 16])).
% 1.82/2.00 tff(1873,plain,
% 1.82/2.00 (ssPv4(skf1(elem!0))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1872, 93, 1, 1809])).
% 1.82/2.00 tff(1874,plain,
% 1.82/2.00 (ssPv2(skf1(elem!0))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[574, 93, 1796, 1873])).
% 1.82/2.00 tff(1875,plain,
% 1.82/2.00 (ssPv3(skf1(elem!0))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1509, 1874, 2, 1873])).
% 1.82/2.00 tff(1876,plain,
% 1.82/2.00 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(1877,plain,
% 1.82/2.00 (((~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(elem!0))) <=> ((~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(1878,plain,
% 1.82/2.00 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0)))))),
% 1.82/2.00 inference(monotonicity,[status(thm)],[1877])).
% 1.82/2.00 tff(1879,plain,
% 1.82/2.00 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))),
% 1.82/2.00 inference(transitivity,[status(thm)],[1878, 1876])).
% 1.82/2.00 tff(1880,plain,
% 1.82/2.00 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(elem!0)))),
% 1.82/2.00 inference(quant_inst,[status(thm)],[])).
% 1.82/2.00 tff(1881,plain,
% 1.82/2.00 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0)))),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[1880, 1879])).
% 1.82/2.00 tff(1882,plain,
% 1.82/2.00 ((~ssPv4(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0)))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1881, 1461, 133, 18])).
% 1.82/2.00 tff(1883,plain,
% 1.82/2.00 ((~ssPv4(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0)))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1882, 1267])).
% 1.82/2.00 tff(1884,plain,
% 1.82/2.00 (~ssPv4(elem!0)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1883, 1875, 1865])).
% 1.82/2.00 tff(1885,plain,
% 1.82/2.00 (ssPv2(elem!0)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1491, 1874, 1809])).
% 1.82/2.00 tff(1886,plain,
% 1.82/2.00 ($false),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[886, 1885, 1875, 1851, 1884])).
% 1.82/2.00 tff(1887,plain,(ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.00 tff(1888,plain,
% 1.82/2.00 (ssPv1(skf1(skf1(elem!0)))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1887, 2, 1])).
% 1.82/2.00 tff(1889,plain,
% 1.82/2.00 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[738, 1888, 2, 1851])).
% 1.82/2.00 tff(1890,plain,
% 1.82/2.00 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1522, 1809, 1865, 2])).
% 1.82/2.00 tff(1891,plain,
% 1.82/2.00 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1532, 1890, 1])).
% 1.82/2.00 tff(1892,plain,
% 1.82/2.00 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1313, 1888, 1891])).
% 1.82/2.00 tff(1893,plain,
% 1.82/2.00 ($false),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1637, 1892, 1888, 1889])).
% 1.82/2.00 tff(1894,plain,(ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.00 tff(1895,plain,
% 1.82/2.00 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1894, 1])).
% 1.82/2.00 tff(1896,plain,
% 1.82/2.00 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1622, 7, 1, 93])).
% 1.82/2.00 tff(1897,plain,
% 1.82/2.00 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ((~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(1898,plain,
% 1.82/2.00 (((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(1899,plain,
% 1.82/2.00 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ((~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.00 inference(monotonicity,[status(thm)],[1898])).
% 1.82/2.00 tff(1900,plain,
% 1.82/2.00 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.00 inference(transitivity,[status(thm)],[1899, 1897])).
% 1.82/2.00 tff(1901,plain,
% 1.82/2.00 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.00 inference(quant_inst,[status(thm)],[])).
% 1.82/2.00 tff(1902,plain,
% 1.82/2.00 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv3(X)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[1901, 1900])).
% 1.82/2.00 tff(1903,plain,
% 1.82/2.00 ((~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1902, 638, 16, 95])).
% 1.82/2.00 tff(1904,plain,
% 1.82/2.00 ($false),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1903, 1896, 7, 918, 372])).
% 1.82/2.00 tff(1905,plain,(ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.00 tff(1906,plain,
% 1.82/2.00 (ssPv1(skf1(skf1(elem!0)))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1905, 7, 1895, 1, 1865])).
% 1.82/2.00 tff(1907,plain,
% 1.82/2.00 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[625, 1906, 1796, 7])).
% 1.82/2.00 tff(1908,plain,
% 1.82/2.00 ($false),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1843, 1907, 1906, 7])).
% 1.82/2.00 tff(1909,plain,(ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.00 tff(1910,plain,
% 1.82/2.00 (ssPv4(skf1(skf1(elem!0)))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1909, 1])).
% 1.82/2.00 tff(1911,plain,
% 1.82/2.00 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1532, 370, 1])).
% 1.82/2.00 tff(1912,plain,
% 1.82/2.00 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1054, 370, 1796, 1911])).
% 1.82/2.00 tff(1913,plain,
% 1.82/2.00 (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1038, 1911, 1, 1796])).
% 1.82/2.00 tff(1914,plain,
% 1.82/2.00 ($false),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1046, 1913, 1912, 1796, 1911])).
% 1.82/2.00 tff(1915,plain,(ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.00 tff(1916,plain,
% 1.82/2.00 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1915, 1])).
% 1.82/2.00 tff(1917,plain,
% 1.82/2.00 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1680, 1916, 1895, 1910])).
% 1.82/2.00 tff(1918,plain,
% 1.82/2.00 (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1697, 1917, 1, 1895])).
% 1.82/2.00 tff(1919,plain,
% 1.82/2.00 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1088, 1918, 1796, 1916])).
% 1.82/2.00 tff(1920,plain,
% 1.82/2.00 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(1921,plain,
% 1.82/2.00 ((ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(1922,plain,
% 1.82/2.00 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/2.00 inference(monotonicity,[status(thm)],[1921])).
% 1.82/2.00 tff(1923,plain,
% 1.82/2.00 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.00 inference(transitivity,[status(thm)],[1922, 1920])).
% 1.82/2.00 tff(1924,plain,
% 1.82/2.00 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.00 inference(quant_inst,[status(thm)],[])).
% 1.82/2.00 tff(1925,plain,
% 1.82/2.00 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssPv1(X)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[1924, 1923])).
% 1.82/2.00 tff(1926,plain,
% 1.82/2.00 (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1925, 1257, 95, 286])).
% 1.82/2.00 tff(1927,plain,
% 1.82/2.00 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1926, 1919, 1, 1917])).
% 1.82/2.00 tff(1928,plain,
% 1.82/2.00 (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[311, 1918, 1796, 1895])).
% 1.82/2.00 tff(1929,plain,
% 1.82/2.00 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(1930,plain,
% 1.82/2.00 ((ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))) <=> (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(1931,plain,
% 1.82/2.00 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/2.00 inference(monotonicity,[status(thm)],[1930])).
% 1.82/2.00 tff(1932,plain,
% 1.82/2.00 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.00 inference(transitivity,[status(thm)],[1931, 1929])).
% 1.82/2.00 tff(1933,plain,
% 1.82/2.00 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.00 inference(quant_inst,[status(thm)],[])).
% 1.82/2.00 tff(1934,plain,
% 1.82/2.00 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.00 inference(modus_ponens,[status(thm)],[1933, 1932])).
% 1.82/2.00 tff(1935,plain,
% 1.82/2.00 (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1934, 1007, 95, 286])).
% 1.82/2.00 tff(1936,plain,
% 1.82/2.00 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1935, 1928, 1796, 1918])).
% 1.82/2.00 tff(1937,plain,
% 1.82/2.00 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.00 inference(rewrite,[status(thm)],[])).
% 1.82/2.00 tff(1938,plain,
% 1.82/2.00 (((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))) <=> (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(1939,plain,
% 1.82/2.01 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/2.01 inference(monotonicity,[status(thm)],[1938])).
% 1.82/2.01 tff(1940,plain,
% 1.82/2.01 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.01 inference(transitivity,[status(thm)],[1939, 1937])).
% 1.82/2.01 tff(1941,plain,
% 1.82/2.01 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(1942,plain,
% 1.82/2.01 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv1(V)) | ssPv2(W) | ssPv1(X) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[1941, 1940])).
% 1.82/2.01 tff(1943,plain,
% 1.82/2.01 (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1942, 342, 95, 286])).
% 1.82/2.01 tff(1944,plain,
% 1.82/2.01 ($false),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1943, 1936, 1927, 1, 1918])).
% 1.82/2.01 tff(1945,plain,(ssPv2(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.01 tff(1946,plain,
% 1.82/2.01 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(1947,plain,
% 1.82/2.01 ((ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0)))) <=> ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(1948,plain,
% 1.82/2.01 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.01 inference(monotonicity,[status(thm)],[1947])).
% 1.82/2.01 tff(1949,plain,
% 1.82/2.01 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.01 inference(transitivity,[status(thm)],[1948, 1946])).
% 1.82/2.01 tff(1950,plain,
% 1.82/2.01 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(1951,plain,
% 1.82/2.01 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv1(W)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[1950, 1949])).
% 1.82/2.01 tff(1952,plain,
% 1.82/2.01 ((~ssPv1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1951, 796, 18, 16])).
% 1.82/2.01 tff(1953,plain,
% 1.82/2.01 ((~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1952, 1267])).
% 1.82/2.01 tff(1954,plain,
% 1.82/2.01 (~ssPv1(skf1(elem!0))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1953, 2, 1945])).
% 1.82/2.01 tff(1955,plain,
% 1.82/2.01 (ssPv2(skf1(skf1(elem!0)))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1830, 7, 1954, 2])).
% 1.82/2.01 tff(1956,plain,
% 1.82/2.01 (ssPv3(skf1(elem!0))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[73, 7, 1945, 1954])).
% 1.82/2.01 tff(1957,plain,
% 1.82/2.01 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(1958,plain,
% 1.82/2.01 ((ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0)))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(1959,plain,
% 1.82/2.01 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.01 inference(monotonicity,[status(thm)],[1958])).
% 1.82/2.01 tff(1960,plain,
% 1.82/2.01 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.01 inference(transitivity,[status(thm)],[1959, 1957])).
% 1.82/2.01 tff(1961,plain,
% 1.82/2.01 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(1962,plain,
% 1.82/2.01 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[1961, 1960])).
% 1.82/2.01 tff(1963,plain,
% 1.82/2.01 ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1962, 692, 18, 16])).
% 1.82/2.01 tff(1964,plain,
% 1.82/2.01 ((~ssPv3(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1963, 1267])).
% 1.82/2.01 tff(1965,plain,
% 1.82/2.01 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1964, 1956, 1945])).
% 1.82/2.01 tff(1966,plain,
% 1.82/2.01 ($false),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1522, 1965, 1955, 2, 1954])).
% 1.82/2.01 tff(1967,plain,(ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.01 tff(1968,plain,
% 1.82/2.01 (ssPv4(skf1(skf1(elem!0)))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1967, 2])).
% 1.82/2.01 tff(1969,plain,
% 1.82/2.01 (ssPv2(skf1(skf1(elem!0)))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[221, 7, 1945, 3])).
% 1.82/2.01 tff(1970,plain,
% 1.82/2.01 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1522, 1969, 2, 1954])).
% 1.82/2.01 tff(1971,plain,
% 1.82/2.01 ($false),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1964, 1970, 1956, 1945])).
% 1.82/2.01 tff(1972,plain,(ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.01 tff(1973,plain,
% 1.82/2.01 (ssPv4(skf1(skf1(elem!0)))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1972, 3, 2])).
% 1.82/2.01 tff(1974,plain,
% 1.82/2.01 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[367, 4, 2, 1945])).
% 1.82/2.01 tff(1975,plain,
% 1.82/2.01 ($false),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[349, 1974, 4, 3, 1973])).
% 1.82/2.01 tff(1976,plain,(ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.01 tff(1977,plain,
% 1.82/2.01 (ssPv2(skf1(skf1(elem!0)))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1976, 3, 2])).
% 1.82/2.01 tff(1978,plain,
% 1.82/2.01 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1522, 1977, 2, 1954])).
% 1.82/2.01 tff(1979,plain,
% 1.82/2.01 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[916, 1977, 1945, 1973])).
% 1.82/2.01 tff(1980,plain,
% 1.82/2.01 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1688, 1979, 3, 1978])).
% 1.82/2.01 tff(1981,plain,
% 1.82/2.01 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(1982,plain,
% 1.82/2.01 (((~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))) <=> (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(1983,plain,
% 1.82/2.01 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))) | ((~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/2.01 inference(monotonicity,[status(thm)],[1982])).
% 1.82/2.01 tff(1984,plain,
% 1.82/2.01 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))) | ((~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.01 inference(transitivity,[status(thm)],[1983, 1981])).
% 1.82/2.01 tff(1985,plain,
% 1.82/2.01 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))) | ((~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(1986,plain,
% 1.82/2.01 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(W) | (~ssPv4(X)) | (~ssPv2(W)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[1985, 1984])).
% 1.82/2.01 tff(1987,plain,
% 1.82/2.01 (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1986, 861, 95, 286])).
% 1.82/2.01 tff(1988,plain,
% 1.82/2.01 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1987, 1980, 1945, 2])).
% 1.82/2.01 tff(1989,plain,
% 1.82/2.01 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[645, 1980, 1945, 1978])).
% 1.82/2.01 tff(1990,plain,
% 1.82/2.01 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(1991,plain,
% 1.82/2.01 ((ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(1992,plain,
% 1.82/2.01 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.01 inference(monotonicity,[status(thm)],[1991])).
% 1.82/2.01 tff(1993,plain,
% 1.82/2.01 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.01 inference(transitivity,[status(thm)],[1992, 1990])).
% 1.82/2.01 tff(1994,plain,
% 1.82/2.01 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(1995,plain,
% 1.82/2.01 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | ssPv3(V) | ssPv1(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[1994, 1993])).
% 1.82/2.01 tff(1996,plain,
% 1.82/2.01 (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1995, 46, 16, 95])).
% 1.82/2.01 tff(1997,plain,
% 1.82/2.01 (ssPv1(skf1(skf1(elem!0)))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1996, 1989, 2, 1979])).
% 1.82/2.01 tff(1998,plain,
% 1.82/2.01 ($false),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[738, 1997, 1988, 2, 1973])).
% 1.82/2.01 tff(1999,plain,(ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.01 tff(2000,plain,
% 1.82/2.01 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1999, 2])).
% 1.82/2.01 tff(2001,plain,
% 1.82/2.01 (~ssPv2(skf1(elem!0))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[239, 1475, 1945, 2000])).
% 1.82/2.01 tff(2002,plain,
% 1.82/2.01 ($false),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1482, 2001, 1475, 2, 1954])).
% 1.82/2.01 tff(2003,plain,((~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.01 tff(2004,plain,
% 1.82/2.01 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[2003, 2])).
% 1.82/2.01 tff(2005,plain,
% 1.82/2.01 (~ssPv3(skf1(elem!0))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1964, 2004, 1945])).
% 1.82/2.01 tff(2006,assumption,(ssPv1(elem!0)), introduced(assumption)).
% 1.82/2.01 tff(2007,plain,
% 1.82/2.01 (ssPv4(elem!0)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[1828, 2006, 6])).
% 1.82/2.01 tff(2008,plain,
% 1.82/2.01 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | ((~ssPv1(elem!0)) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (~ssPv1(elem!0)) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(2009,plain,
% 1.82/2.01 ((ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv4(elem!0))) <=> ((~ssPv1(elem!0)) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(2010,plain,
% 1.82/2.01 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | ((~ssPv1(elem!0)) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0))))))),
% 1.82/2.01 inference(monotonicity,[status(thm)],[2009])).
% 1.82/2.01 tff(2011,plain,
% 1.82/2.01 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (~ssPv1(elem!0)) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.82/2.01 inference(transitivity,[status(thm)],[2010, 2008])).
% 1.82/2.01 tff(2012,plain,
% 1.82/2.01 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv4(elem!0)))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(2013,plain,
% 1.82/2.01 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (~ssPv1(elem!0)) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0))))),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[2012, 2011])).
% 1.82/2.01 tff(2014,plain,
% 1.82/2.01 ((~ssPv1(elem!0)) | (~ssPv4(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0))))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[2013, 713, 133, 18])).
% 1.82/2.01 tff(2015,plain,
% 1.82/2.01 ($false),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[2014, 2007, 2006, 1667, 4])).
% 1.82/2.01 tff(2016,plain,((~ssPv1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.01 tff(2017,plain,
% 1.82/2.01 (~ssPv1(elem!0)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[2016, 4, 1667, 6])).
% 1.82/2.02 tff(2018,plain,
% 1.82/2.02 ($false),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[1818, 2017, 4, 1315])).
% 1.82/2.02 tff(2019,plain,(ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.02 tff(2020,plain,
% 1.82/2.02 (ssPv2(skf1(skf1(elem!0)))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[2019, 2005, 1968, 1954])).
% 1.82/2.02 tff(2021,plain,
% 1.82/2.02 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[916, 2020, 1945, 1968])).
% 1.82/2.02 tff(2022,plain,
% 1.82/2.02 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[720, 578, 2021, 1968])).
% 1.82/2.02 tff(2023,plain,
% 1.82/2.02 ($false),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[738, 2022, 578, 2, 1968])).
% 1.82/2.02 tff(2024,plain,((~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.02 tff(2025,plain,
% 1.82/2.02 (~ssPv1(skf1(skf1(elem!0)))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[2024, 2])).
% 1.82/2.02 tff(2026,plain,
% 1.82/2.02 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[926, 2025, 2, 2021])).
% 1.82/2.02 tff(2027,plain,
% 1.82/2.02 ($false),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[1996, 2026, 2025, 2, 2021])).
% 1.82/2.02 tff(2028,plain,(ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.02 tff(2029,plain,
% 1.82/2.02 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(2030,plain,
% 1.82/2.02 (((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(elem!0)))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(2031,plain,
% 1.82/2.02 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.02 inference(monotonicity,[status(thm)],[2030])).
% 1.82/2.02 tff(2032,plain,
% 1.82/2.02 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.02 inference(transitivity,[status(thm)],[2031, 2029])).
% 1.82/2.02 tff(2033,plain,
% 1.82/2.02 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(elem!0))))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(2034,plain,
% 1.82/2.02 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[2033, 2032])).
% 1.82/2.02 tff(2035,plain,
% 1.82/2.02 ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[2034, 1461, 18, 16])).
% 1.82/2.02 tff(2036,plain,
% 1.82/2.02 ((~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[2035, 1267])).
% 1.82/2.02 tff(2037,plain,
% 1.82/2.02 (~ssPv4(skf1(elem!0))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[2036, 2028, 1945])).
% 1.82/2.02 tff(2038,plain,
% 1.82/2.02 (~ssPv3(skf1(elem!0))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[1964, 1524, 1945])).
% 1.82/2.02 tff(2039,plain,
% 1.82/2.02 ($false),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[1030, 2038, 1524, 2028, 2037])).
% 1.82/2.02 tff(2040,plain,(ssPv4(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.02 tff(2041,plain,
% 1.82/2.02 (~ssPv2(skf1(elem!0))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[1501, 2040, 2037])).
% 1.82/2.02 tff(2042,plain,
% 1.82/2.02 (ssPv2(skf1(skf1(elem!0)))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[200, 7, 1945, 2041])).
% 1.82/2.02 tff(2043,plain,
% 1.82/2.02 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(2044,plain,
% 1.82/2.02 ((ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(2045,plain,
% 1.82/2.02 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.02 inference(monotonicity,[status(thm)],[2044])).
% 1.82/2.02 tff(2046,plain,
% 1.82/2.02 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.02 inference(transitivity,[status(thm)],[2045, 2043])).
% 1.82/2.02 tff(2047,plain,
% 1.82/2.02 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(2048,plain,
% 1.82/2.02 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[2047, 2046])).
% 1.82/2.02 tff(2049,plain,
% 1.82/2.02 ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[2048, 674, 16, 95])).
% 1.82/2.02 tff(2050,plain,
% 1.82/2.02 (ssPv4(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[2049, 1267])).
% 1.82/2.02 tff(2051,plain,
% 1.82/2.02 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[2050, 7, 2040])).
% 1.82/2.02 tff(2052,plain,
% 1.82/2.02 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(2053,plain,
% 1.82/2.02 ((ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(2054,plain,
% 1.82/2.02 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.02 inference(monotonicity,[status(thm)],[2053])).
% 1.82/2.02 tff(2055,plain,
% 1.82/2.02 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.02 inference(transitivity,[status(thm)],[2054, 2052])).
% 1.82/2.02 tff(2056,plain,
% 1.82/2.02 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(2057,plain,
% 1.82/2.02 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[2056, 2055])).
% 1.82/2.02 tff(2058,plain,
% 1.82/2.02 ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[2057, 692, 16, 95])).
% 1.82/2.02 tff(2059,plain,
% 1.82/2.02 ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[2058, 1267])).
% 1.82/2.02 tff(2060,plain,
% 1.82/2.02 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[2059, 2051, 2028])).
% 1.82/2.02 tff(2061,plain,
% 1.82/2.02 ($false),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[1903, 2060, 2042, 2028, 7])).
% 1.82/2.02 tff(2062,plain,(ssPv4(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.02 tff(2063,plain,
% 1.82/2.02 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(2064,plain,
% 1.82/2.02 ((ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))) <=> (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(2065,plain,
% 1.82/2.02 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.02 inference(monotonicity,[status(thm)],[2064])).
% 1.82/2.02 tff(2066,plain,
% 1.82/2.02 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.02 inference(transitivity,[status(thm)],[2065, 2063])).
% 1.82/2.02 tff(2067,plain,
% 1.82/2.02 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(2068,plain,
% 1.82/2.02 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[2067, 2066])).
% 1.82/2.02 tff(2069,plain,
% 1.82/2.02 (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[2068, 1393, 16, 95])).
% 1.82/2.02 tff(2070,plain,
% 1.82/2.02 (ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[2069, 1267])).
% 1.82/2.02 tff(2071,plain,
% 1.82/2.02 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[2070, 4, 2040])).
% 1.82/2.02 tff(2072,plain,
% 1.82/2.02 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[349, 2071, 4, 2062])).
% 1.82/2.02 tff(2073,plain,
% 1.82/2.02 (~ssPv1(skf1(skf1(elem!0)))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[1264, 4, 2041, 2040])).
% 1.82/2.02 tff(2074,plain,
% 1.82/2.02 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[283, 370, 4, 2073])).
% 1.82/2.02 tff(2075,plain,
% 1.82/2.02 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[2059, 2074, 2028])).
% 1.82/2.02 tff(2076,plain,
% 1.82/2.02 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[293, 2074, 2028, 2075])).
% 1.82/2.02 tff(2077,plain,
% 1.82/2.02 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[1054, 370, 2040, 2072])).
% 1.82/2.02 tff(2078,plain,
% 1.82/2.02 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(2079,plain,
% 1.82/2.02 ((ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(2080,plain,
% 1.82/2.02 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/2.02 inference(monotonicity,[status(thm)],[2079])).
% 1.82/2.02 tff(2081,plain,
% 1.82/2.02 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.02 inference(transitivity,[status(thm)],[2080, 2078])).
% 1.82/2.02 tff(2082,plain,
% 1.82/2.02 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(2083,plain,
% 1.82/2.02 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[2082, 2081])).
% 1.82/2.02 tff(2084,plain,
% 1.82/2.02 ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[2083, 1111, 95, 286])).
% 1.82/2.02 tff(2085,plain,
% 1.82/2.02 (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[2084, 2077, 2072, 2028])).
% 1.82/2.02 tff(2086,plain,
% 1.82/2.02 ($false),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[311, 2085, 2076, 2028, 2072])).
% 1.82/2.02 tff(2087,plain,(ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.02 tff(2088,plain,
% 1.82/2.02 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[2087, 4])).
% 1.82/2.02 tff(2089,plain,
% 1.82/2.02 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[1304, 2088, 4])).
% 1.82/2.02 tff(2090,plain,
% 1.82/2.02 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[1680, 2088, 2028, 2062])).
% 1.82/2.02 tff(2091,plain,
% 1.82/2.02 (((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(2092,plain,
% 1.82/2.02 (((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(2093,plain,
% 1.82/2.02 (((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.82/2.03 inference(monotonicity,[status(thm)],[2092])).
% 1.82/2.03 tff(2094,plain,
% 1.82/2.03 (((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/2.03 inference(transitivity,[status(thm)],[2093, 2091])).
% 1.82/2.03 tff(2095,plain,
% 1.82/2.03 ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/2.03 inference(quant_inst,[status(thm)],[])).
% 1.82/2.03 tff(2096,plain,
% 1.82/2.03 ((~![W: $i, V: $i, U: $i] : ((~ssPv4(W)) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(V)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.03 inference(modus_ponens,[status(thm)],[2095, 2094])).
% 1.82/2.03 tff(2097,plain,
% 1.82/2.03 ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[2096, 590, 286, 386])).
% 1.82/2.03 tff(2098,plain,
% 1.82/2.03 (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[2097, 2089, 2071, 2090])).
% 1.82/2.03 tff(2099,plain,
% 1.82/2.03 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.03 inference(rewrite,[status(thm)],[])).
% 1.82/2.03 tff(2100,plain,
% 1.82/2.03 ((ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.03 inference(rewrite,[status(thm)],[])).
% 1.82/2.03 tff(2101,plain,
% 1.82/2.03 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/2.03 inference(monotonicity,[status(thm)],[2100])).
% 1.82/2.03 tff(2102,plain,
% 1.82/2.03 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.03 inference(transitivity,[status(thm)],[2101, 2099])).
% 1.82/2.03 tff(2103,plain,
% 1.82/2.03 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.03 inference(quant_inst,[status(thm)],[])).
% 1.82/2.03 tff(2104,plain,
% 1.82/2.03 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.03 inference(modus_ponens,[status(thm)],[2103, 2102])).
% 1.82/2.03 tff(2105,plain,
% 1.82/2.03 ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[2104, 713, 286, 386])).
% 1.82/2.03 tff(2106,plain,
% 1.82/2.03 (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[2105, 2098, 2071, 2089])).
% 1.82/2.03 tff(2107,plain,
% 1.82/2.03 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1363, 2106, 2071, 2089])).
% 1.82/2.03 tff(2108,plain,
% 1.82/2.03 (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1747, 2106, 2088, 2090])).
% 1.82/2.03 tff(2109,plain,
% 1.82/2.03 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.03 inference(rewrite,[status(thm)],[])).
% 1.82/2.03 tff(2110,plain,
% 1.82/2.03 ((ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.03 inference(rewrite,[status(thm)],[])).
% 1.82/2.03 tff(2111,plain,
% 1.82/2.03 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/2.03 inference(monotonicity,[status(thm)],[2110])).
% 1.82/2.03 tff(2112,plain,
% 1.82/2.03 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.03 inference(transitivity,[status(thm)],[2111, 2109])).
% 1.82/2.03 tff(2113,plain,
% 1.82/2.03 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/2.03 inference(quant_inst,[status(thm)],[])).
% 1.82/2.03 tff(2114,plain,
% 1.82/2.03 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv2(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.03 inference(modus_ponens,[status(thm)],[2113, 2112])).
% 1.82/2.03 tff(2115,plain,
% 1.82/2.03 ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[2114, 143, 286, 386])).
% 1.82/2.03 tff(2116,plain,
% 1.82/2.03 (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[2115, 2108, 2071, 2098])).
% 1.82/2.03 tff(2117,plain,
% 1.82/2.03 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.03 inference(rewrite,[status(thm)],[])).
% 1.82/2.03 tff(2118,plain,
% 1.82/2.03 ((ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.03 inference(rewrite,[status(thm)],[])).
% 1.82/2.03 tff(2119,plain,
% 1.82/2.03 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.82/2.03 inference(monotonicity,[status(thm)],[2118])).
% 1.82/2.03 tff(2120,plain,
% 1.82/2.03 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.82/2.03 inference(transitivity,[status(thm)],[2119, 2117])).
% 1.82/2.03 tff(2121,plain,
% 1.82/2.03 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.03 inference(quant_inst,[status(thm)],[])).
% 1.82/2.03 tff(2122,plain,
% 1.82/2.03 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.03 inference(modus_ponens,[status(thm)],[2121, 2120])).
% 1.82/2.03 tff(2123,plain,
% 1.82/2.03 ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[2122, 768, 286, 386])).
% 1.82/2.03 tff(2124,plain,
% 1.82/2.03 ($false),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[2123, 2116, 2107, 2071, 2106])).
% 1.82/2.03 tff(2125,plain,(ssPv2(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.03 tff(2126,plain,
% 1.82/2.03 (ssPv1(skf1(skf1(elem!0)))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[937, 2125, 2028, 2041])).
% 1.82/2.03 tff(2127,plain,
% 1.82/2.03 (~ssPv2(elem!0)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[947, 2126, 2125, 2062])).
% 1.82/2.03 tff(2128,plain,
% 1.82/2.03 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.82/2.03 inference(rewrite,[status(thm)],[])).
% 1.82/2.03 tff(2129,plain,
% 1.82/2.03 ((ssPv2(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0)))) <=> (ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.82/2.03 inference(rewrite,[status(thm)],[])).
% 1.82/2.03 tff(2130,plain,
% 1.82/2.03 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0))))))),
% 1.82/2.03 inference(monotonicity,[status(thm)],[2129])).
% 1.82/2.03 tff(2131,plain,
% 1.82/2.03 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.82/2.03 inference(transitivity,[status(thm)],[2130, 2128])).
% 1.82/2.03 tff(2132,plain,
% 1.82/2.03 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.82/2.03 inference(quant_inst,[status(thm)],[])).
% 1.82/2.03 tff(2133,plain,
% 1.82/2.03 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(X) | (~ssPv1(V)) | ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0))))),
% 1.82/2.03 inference(modus_ponens,[status(thm)],[2132, 2131])).
% 1.82/2.03 tff(2134,plain,
% 1.82/2.03 (ssPv2(elem!0) | ssPv2(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0))))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[2133, 191, 133, 18])).
% 1.82/2.03 tff(2135,plain,
% 1.82/2.03 ($false),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[2134, 2127, 2126, 2037, 2041])).
% 1.82/2.04 % SZS output end Proof
% 1.82/2.04 % E exiting
%------------------------------------------------------------------------------