%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN759-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.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 1.35s 1.52s
% Output : Proof 1.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN759-1 : TPTP v9.0.0. Released v2.5.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jun 20 12:43:32 EDT 2025
% 0.13/0.35 % CPUTime :
% 1.35/1.52 % SZS status Unsatisfiable
% 1.35/1.52 % SZS output start Proof
% 1.35/1.52 tff(ssPv1_type, type, (
% 1.35/1.52 ssPv1: $i > $o)).
% 1.35/1.52 tff(skf1_type, type, (
% 1.35/1.52 skf1: $i > $i)).
% 1.35/1.52 tff(elem_0_type, type, (
% 1.35/1.52 elem_0: $i)).
% 1.35/1.52 tff(ssPv3_type, type, (
% 1.35/1.52 ssPv3: $i > $o)).
% 1.35/1.52 tff(ssPv4_type, type, (
% 1.35/1.52 ssPv4: $i > $o)).
% 1.35/1.52 tff(ssPv2_type, type, (
% 1.35/1.52 ssPv2: $i > $o)).
% 1.35/1.52 tff(ssRr_type, type, (
% 1.35/1.52 ssRr: ( $i * $i ) > $o)).
% 1.35/1.52 tff(1,assumption,(~ssPv3(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.35/1.52 tff(2,assumption,(~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.35/1.52 tff(3,assumption,(~ssPv3(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.35/1.52 tff(4,assumption,(~ssPv2(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.35/1.52 tff(5,assumption,(~ssPv4(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.35/1.52 tff(6,assumption,(~ssPv1(skf1(elem!0))), introduced(assumption)).
% 1.35/1.52 tff(7,plain,
% 1.35/1.52 (^[U: $i] : refl(ssRr(U, skf1(U)) <=> ssRr(U, skf1(U)))),
% 1.35/1.52 inference(bind,[status(th)],[])).
% 1.35/1.52 tff(8,plain,
% 1.35/1.52 (![U: $i] : ssRr(U, skf1(U)) <=> ![U: $i] : ssRr(U, skf1(U))),
% 1.35/1.52 inference(quant_intro,[status(thm)],[7])).
% 1.35/1.52 tff(9,plain,
% 1.35/1.52 (![U: $i] : ssRr(U, skf1(U)) <=> ![U: $i] : ssRr(U, skf1(U))),
% 1.35/1.52 inference(rewrite,[status(thm)],[])).
% 1.35/1.52 tff(10,axiom,(![U: $i] : ssRr(U, skf1(U))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause1')).
% 1.35/1.52 tff(11,plain,
% 1.35/1.52 (![U: $i] : ssRr(U, skf1(U))),
% 1.35/1.52 inference(modus_ponens,[status(thm)],[10, 9])).
% 1.35/1.52 tff(12,plain,(
% 1.35/1.52 ![U: $i] : ssRr(U, skf1(U))),
% 1.35/1.52 inference(skolemize,[status(sab)],[11])).
% 1.35/1.52 tff(13,plain,
% 1.35/1.52 (![U: $i] : ssRr(U, skf1(U))),
% 1.35/1.52 inference(modus_ponens,[status(thm)],[12, 8])).
% 1.35/1.52 tff(14,plain,
% 1.35/1.52 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))),
% 1.35/1.52 inference(quant_inst,[status(thm)],[])).
% 1.35/1.52 tff(15,plain,
% 1.35/1.52 (ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))),
% 1.35/1.52 inference(unit_resolution,[status(thm)],[14, 13])).
% 1.35/1.52 tff(16,plain,
% 1.35/1.52 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(elem!0), skf1(skf1(elem!0)))),
% 1.35/1.52 inference(quant_inst,[status(thm)],[])).
% 1.35/1.52 tff(17,plain,
% 1.35/1.52 (ssRr(skf1(elem!0), skf1(skf1(elem!0)))),
% 1.35/1.52 inference(unit_resolution,[status(thm)],[16, 13])).
% 1.35/1.52 tff(18,plain,
% 1.35/1.52 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) <=> (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))),
% 1.35/1.52 inference(bind,[status(th)],[])).
% 1.35/1.52 tff(19,plain,
% 1.35/1.52 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(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) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.35/1.52 inference(quant_intro,[status(thm)],[18])).
% 1.35/1.52 tff(20,plain,
% 1.35/1.52 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(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) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.35/1.52 inference(rewrite,[status(thm)],[])).
% 1.35/1.52 tff(21,plain,
% 1.35/1.52 (^[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))) | ssPv3(X)) <=> (((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv3(X)))), rewrite((((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv3(X)) <=> (ssPv3(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))) | ssPv3(X)) <=> (ssPv3(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))) | ssPv3(X)) | ssPv2(Y)) <=> ((ssPv3(X) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(Y)))), rewrite(((ssPv3(X) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(Y)) <=> (ssPv2(Y) | ssPv3(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))) | ssPv3(X)) | ssPv2(Y)) <=> (ssPv2(Y) | ssPv3(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))) | ssPv3(X)) | ssPv2(Y)) | ssPv1(W)) <=> ((ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv1(W)))), rewrite(((ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv1(W)) <=> (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(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))) | ssPv3(X)) | ssPv2(Y)) | ssPv1(W)) <=> (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))))),
% 1.35/1.52 inference(bind,[status(th)],[])).
% 1.35/1.52 tff(22,plain,
% 1.35/1.52 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | ssPv3(X)) | ssPv2(Y)) | ssPv1(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.35/1.52 inference(quant_intro,[status(thm)],[21])).
% 1.35/1.52 tff(23,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))) | ssPv3(X)) | ssPv2(Y)) | ssPv1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause13')).
% 1.35/1.52 tff(24,plain,
% 1.35/1.52 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.35/1.52 inference(modus_ponens,[status(thm)],[23, 22])).
% 1.35/1.52 tff(25,plain,
% 1.35/1.52 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.35/1.52 inference(modus_ponens,[status(thm)],[24, 20])).
% 1.35/1.52 tff(26,plain,(
% 1.35/1.52 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.35/1.52 inference(skolemize,[status(sab)],[25])).
% 1.35/1.52 tff(27,plain,
% 1.35/1.52 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.35/1.52 inference(modus_ponens,[status(thm)],[26, 19])).
% 1.35/1.52 tff(28,plain,
% 1.35/1.52 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(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) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.35/1.52 inference(rewrite,[status(thm)],[])).
% 1.35/1.52 tff(29,plain,
% 1.35/1.52 ((ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(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(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> (ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.35/1.52 inference(rewrite,[status(thm)],[])).
% 1.35/1.52 tff(30,plain,
% 1.35/1.52 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(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(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) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))))),
% 1.35/1.52 inference(monotonicity,[status(thm)],[29])).
% 1.35/1.52 tff(31,plain,
% 1.35/1.52 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(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(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) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.35/1.52 inference(transitivity,[status(thm)],[30, 28])).
% 1.35/1.52 tff(32,plain,
% 1.35/1.52 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(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(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.35/1.52 inference(quant_inst,[status(thm)],[])).
% 1.35/1.52 tff(33,plain,
% 1.35/1.52 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.35/1.52 inference(modus_ponens,[status(thm)],[32, 31])).
% 1.35/1.52 tff(34,plain,
% 1.35/1.52 (ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.35/1.52 inference(unit_resolution,[status(thm)],[33, 27, 17, 15])).
% 1.35/1.52 tff(35,plain,
% 1.35/1.52 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.35/1.52 inference(unit_resolution,[status(thm)],[34, 4, 6, 3])).
% 1.35/1.52 tff(36,assumption,(~ssPv4(elem!0)), introduced(assumption)).
% 1.35/1.52 tff(37,plain,
% 1.35/1.52 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(elem!0, skf1(elem!0))),
% 1.35/1.52 inference(quant_inst,[status(thm)],[])).
% 1.35/1.52 tff(38,plain,
% 1.35/1.52 (ssRr(elem!0, skf1(elem!0))),
% 1.35/1.52 inference(unit_resolution,[status(thm)],[37, 13])).
% 1.35/1.52 tff(39,plain,
% 1.35/1.52 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.35/1.52 inference(bind,[status(th)],[])).
% 1.35/1.52 tff(40,plain,
% 1.35/1.52 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(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) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.35/1.52 inference(quant_intro,[status(thm)],[39])).
% 1.35/1.52 tff(41,plain,
% 1.35/1.52 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(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) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.35/1.52 inference(rewrite,[status(thm)],[])).
% 1.35/1.52 tff(42,plain,
% 1.35/1.52 (^[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)) | ssPv1(Z)) <=> ((ssPv2(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Z)))), rewrite(((ssPv2(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Z)) <=> (ssPv2(Y) | ssPv1(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)) | ssPv1(Z)) <=> (ssPv2(Y) | ssPv1(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)) | ssPv1(Z)) | ssPv4(W)) <=> ((ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)))), rewrite(((ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)) <=> (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(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)) | ssPv1(Z)) | ssPv4(W)) <=> (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.35/1.52 inference(bind,[status(th)],[])).
% 1.35/1.52 tff(43,plain,
% 1.35/1.52 (![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)) | ssPv1(Z)) | ssPv4(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.35/1.52 inference(quant_intro,[status(thm)],[42])).
% 1.35/1.52 tff(44,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)) | ssPv1(Z)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause35')).
% 1.35/1.52 tff(45,plain,
% 1.35/1.52 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.35/1.52 inference(modus_ponens,[status(thm)],[44, 43])).
% 1.35/1.52 tff(46,plain,
% 1.35/1.52 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.35/1.52 inference(modus_ponens,[status(thm)],[45, 41])).
% 1.35/1.52 tff(47,plain,(
% 1.35/1.52 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.35/1.52 inference(skolemize,[status(sab)],[46])).
% 1.35/1.52 tff(48,plain,
% 1.35/1.52 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.35/1.52 inference(modus_ponens,[status(thm)],[47, 40])).
% 1.35/1.52 tff(49,plain,
% 1.35/1.52 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (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)))) | ssPv2(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | 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)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.35/1.52 inference(rewrite,[status(thm)],[])).
% 1.35/1.52 tff(50,plain,
% 1.35/1.52 ((ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(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) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.35/1.52 inference(rewrite,[status(thm)],[])).
% 1.35/1.52 tff(51,plain,
% 1.35/1.52 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(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) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (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)))) | ssPv2(skf1(skf1(elem!0)))))),
% 1.35/1.52 inference(monotonicity,[status(thm)],[50])).
% 1.35/1.52 tff(52,plain,
% 1.35/1.52 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(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) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | 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)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.35/1.52 inference(transitivity,[status(thm)],[51, 49])).
% 1.35/1.52 tff(53,plain,
% 1.35/1.52 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(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)))))),
% 1.35/1.52 inference(quant_inst,[status(thm)],[])).
% 1.35/1.52 tff(54,plain,
% 1.35/1.52 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | 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)))) | ssPv2(skf1(skf1(elem!0)))),
% 1.35/1.52 inference(modus_ponens,[status(thm)],[53, 52])).
% 1.35/1.52 tff(55,plain,
% 1.35/1.52 (ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0)))),
% 1.35/1.52 inference(unit_resolution,[status(thm)],[54, 48, 38, 17])).
% 1.35/1.52 tff(56,plain,
% 1.35/1.52 (~ssPv3(skf1(skf1(elem!0)))),
% 1.35/1.52 inference(unit_resolution,[status(thm)],[55, 4, 6, 36])).
% 1.35/1.52 tff(57,plain,
% 1.35/1.52 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.35/1.52 inference(bind,[status(th)],[])).
% 1.35/1.52 tff(58,plain,
% 1.35/1.52 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(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) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.35/1.52 inference(quant_intro,[status(thm)],[57])).
% 1.35/1.52 tff(59,plain,
% 1.35/1.52 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(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) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.35/1.52 inference(rewrite,[status(thm)],[])).
% 1.35/1.52 tff(60,plain,
% 1.35/1.52 (^[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)) <=> (ssPv3(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))) | ssPv3(V)) <=> (ssPv3(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))) | ssPv3(V)) | ssPv2(Y)) <=> ((ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Y)))), rewrite(((ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Y)) <=> (ssPv2(Y) | ssPv3(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))) | ssPv3(V)) | ssPv2(Y)) <=> (ssPv2(Y) | ssPv3(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))) | ssPv3(V)) | ssPv2(Y)) | ssPv1(Z)) <=> ((ssPv2(Y) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Z)))), rewrite(((ssPv2(Y) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Z)) <=> (ssPv2(Y) | ssPv1(Z) | ssPv3(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))) | ssPv3(V)) | ssPv2(Y)) | ssPv1(Z)) <=> (ssPv2(Y) | ssPv1(Z) | ssPv3(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))) | ssPv3(V)) | ssPv2(Y)) | ssPv1(Z)) | ssPv4(W)) <=> ((ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)))), rewrite(((ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)) <=> (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(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)) | ssPv1(Z)) | ssPv4(W)) <=> (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.35/1.53 inference(bind,[status(th)],[])).
% 1.35/1.53 tff(61,plain,
% 1.35/1.53 (![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)) | ssPv1(Z)) | ssPv4(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.35/1.53 inference(quant_intro,[status(thm)],[60])).
% 1.35/1.53 tff(62,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)) | ssPv1(Z)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause30')).
% 1.35/1.53 tff(63,plain,
% 1.35/1.53 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.35/1.53 inference(modus_ponens,[status(thm)],[62, 61])).
% 1.35/1.53 tff(64,plain,
% 1.35/1.53 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.35/1.53 inference(modus_ponens,[status(thm)],[63, 59])).
% 1.35/1.53 tff(65,plain,(
% 1.35/1.53 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.35/1.53 inference(skolemize,[status(sab)],[64])).
% 1.35/1.53 tff(66,plain,
% 1.35/1.53 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.35/1.53 inference(modus_ponens,[status(thm)],[65, 58])).
% 1.35/1.53 tff(67,plain,
% 1.35/1.53 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (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)))) | ssPv2(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | 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)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.35/1.53 inference(rewrite,[status(thm)],[])).
% 1.35/1.53 tff(68,plain,
% 1.35/1.53 ((ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(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) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.35/1.53 inference(rewrite,[status(thm)],[])).
% 1.35/1.53 tff(69,plain,
% 1.35/1.53 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(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) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (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)))) | ssPv2(skf1(skf1(elem!0)))))),
% 1.35/1.53 inference(monotonicity,[status(thm)],[68])).
% 1.35/1.53 tff(70,plain,
% 1.35/1.53 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(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) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | 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)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.35/1.53 inference(transitivity,[status(thm)],[69, 67])).
% 1.35/1.53 tff(71,plain,
% 1.35/1.53 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(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)))))),
% 1.35/1.53 inference(quant_inst,[status(thm)],[])).
% 1.35/1.53 tff(72,plain,
% 1.35/1.53 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0)))),
% 1.35/1.53 inference(modus_ponens,[status(thm)],[71, 70])).
% 1.35/1.53 tff(73,plain,
% 1.35/1.53 (ssPv4(elem!0) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0)))),
% 1.35/1.53 inference(unit_resolution,[status(thm)],[72, 66, 38, 17])).
% 1.35/1.53 tff(74,plain,
% 1.35/1.53 ($false),
% 1.35/1.53 inference(unit_resolution,[status(thm)],[73, 56, 4, 6, 36])).
% 1.35/1.53 tff(75,plain,(ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv4(elem!0)), inference(lemma,lemma(discharge,[]))).
% 1.35/1.53 tff(76,plain,
% 1.35/1.53 (ssPv2(skf1(skf1(elem!0)))),
% 1.35/1.53 inference(unit_resolution,[status(thm)],[75, 36, 6])).
% 1.35/1.53 tff(77,plain,
% 1.35/1.53 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.35/1.53 inference(bind,[status(th)],[])).
% 1.35/1.53 tff(78,plain,
% 1.35/1.53 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(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(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.35/1.53 inference(quant_intro,[status(thm)],[77])).
% 1.35/1.53 tff(79,plain,
% 1.35/1.53 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(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(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.35/1.53 inference(rewrite,[status(thm)],[])).
% 1.35/1.53 tff(80,plain,
% 1.35/1.53 (^[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))) | ssPv1(Z)) <=> (((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Z)))), rewrite((((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Z)) <=> (ssPv1(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))) | ssPv1(Z)) <=> (ssPv1(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))) | ssPv1(Z)) | ssPv4(W)) <=> ((ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)))), rewrite(((ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)) <=> (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~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))) | ssPv1(Z)) | ssPv4(W)) <=> (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.35/1.53 inference(bind,[status(th)],[])).
% 1.35/1.53 tff(81,plain,
% 1.35/1.53 (![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))) | ssPv1(Z)) | ssPv4(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.35/1.53 inference(quant_intro,[status(thm)],[80])).
% 1.35/1.53 tff(82,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))) | ssPv1(Z)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause37')).
% 1.35/1.53 tff(83,plain,
% 1.35/1.53 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.35/1.53 inference(modus_ponens,[status(thm)],[82, 81])).
% 1.35/1.53 tff(84,plain,
% 1.35/1.53 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.35/1.53 inference(modus_ponens,[status(thm)],[83, 79])).
% 1.35/1.53 tff(85,plain,(
% 1.35/1.53 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.35/1.53 inference(skolemize,[status(sab)],[84])).
% 1.35/1.53 tff(86,plain,
% 1.35/1.53 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.35/1.53 inference(modus_ponens,[status(thm)],[85, 78])).
% 1.35/1.53 tff(87,plain,
% 1.35/1.53 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.35/1.53 inference(rewrite,[status(thm)],[])).
% 1.35/1.53 tff(88,plain,
% 1.35/1.53 ((ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(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) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.35/1.53 inference(rewrite,[status(thm)],[])).
% 1.35/1.53 tff(89,plain,
% 1.35/1.53 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(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(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.35/1.53 inference(monotonicity,[status(thm)],[88])).
% 1.35/1.53 tff(90,plain,
% 1.35/1.53 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(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(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.35/1.53 inference(transitivity,[status(thm)],[89, 87])).
% 1.35/1.53 tff(91,plain,
% 1.35/1.53 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(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)))))),
% 1.35/1.53 inference(quant_inst,[status(thm)],[])).
% 1.35/1.53 tff(92,plain,
% 1.35/1.53 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.35/1.53 inference(modus_ponens,[status(thm)],[91, 90])).
% 1.35/1.53 tff(93,plain,
% 1.35/1.53 (ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0))))),
% 1.35/1.53 inference(unit_resolution,[status(thm)],[92, 86, 38, 17])).
% 1.35/1.53 tff(94,plain,
% 1.35/1.53 (~ssPv3(skf1(skf1(elem!0)))),
% 1.35/1.53 inference(unit_resolution,[status(thm)],[93, 76, 6, 36])).
% 1.35/1.53 tff(95,plain,
% 1.35/1.53 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V))) <=> (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V))))),
% 1.35/1.53 inference(bind,[status(th)],[])).
% 1.35/1.53 tff(96,plain,
% 1.35/1.53 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))),
% 1.35/1.53 inference(quant_intro,[status(thm)],[95])).
% 1.35/1.53 tff(97,plain,
% 1.35/1.53 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))),
% 1.35/1.53 inference(rewrite,[status(thm)],[])).
% 1.35/1.53 tff(98,plain,
% 1.35/1.53 (^[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))) <=> ((~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(W, X)) | (~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(W, X)) | (~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))) | (~ssPv1(W))) <=> (((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv1(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv1(W))) <=> ((~ssPv1(W)) | (~ssRr(W, X)) | (~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))) | (~ssPv1(W))) <=> ((~ssPv1(W)) | (~ssRr(W, X)) | (~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))) | (~ssPv1(W))) | ssPv3(Y)) <=> (((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | ssPv3(Y)))), rewrite((((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~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))) | (~ssPv1(W))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~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))) | (~ssPv1(W))) | ssPv3(Y)) | ssPv4(W)) <=> ((ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | ssPv4(W)))), rewrite(((ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | ssPv4(W)) <=> (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(Y)) | ssPv4(W)) <=> (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))))),
% 1.39/1.53 inference(bind,[status(th)],[])).
% 1.39/1.53 tff(99,plain,
% 1.39/1.53 (![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(Y)) | ssPv4(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))),
% 1.39/1.53 inference(quant_intro,[status(thm)],[98])).
% 1.39/1.53 tff(100,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(Y)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause25')).
% 1.39/1.53 tff(101,plain,
% 1.39/1.53 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))),
% 1.39/1.53 inference(modus_ponens,[status(thm)],[100, 99])).
% 1.39/1.53 tff(102,plain,
% 1.39/1.53 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))),
% 1.39/1.53 inference(modus_ponens,[status(thm)],[101, 97])).
% 1.39/1.53 tff(103,plain,(
% 1.39/1.53 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))),
% 1.39/1.53 inference(skolemize,[status(sab)],[102])).
% 1.39/1.53 tff(104,plain,
% 1.39/1.53 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))),
% 1.39/1.53 inference(modus_ponens,[status(thm)],[103, 96])).
% 1.39/1.53 tff(105,plain,
% 1.39/1.53 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | ((~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(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(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.39/1.53 inference(rewrite,[status(thm)],[])).
% 1.39/1.53 tff(106,plain,
% 1.39/1.53 ((ssPv3(skf1(skf1(elem!0))) | (~ssPv1(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)))) | ssPv4(elem!0) | (~ssPv2(skf1(skf1(elem!0))))) <=> ((~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.39/1.53 inference(rewrite,[status(thm)],[])).
% 1.39/1.53 tff(107,plain,
% 1.39/1.53 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(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)))) | ssPv4(elem!0) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | ((~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.39/1.53 inference(monotonicity,[status(thm)],[106])).
% 1.39/1.53 tff(108,plain,
% 1.39/1.53 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(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)))) | ssPv4(elem!0) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.39/1.53 inference(transitivity,[status(thm)],[107, 105])).
% 1.39/1.53 tff(109,plain,
% 1.39/1.53 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(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)))) | ssPv4(elem!0) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.39/1.53 inference(quant_inst,[status(thm)],[])).
% 1.39/1.53 tff(110,plain,
% 1.39/1.53 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (~ssPv1(elem!0)) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.39/1.53 inference(modus_ponens,[status(thm)],[109, 108])).
% 1.39/1.53 tff(111,plain,
% 1.39/1.53 ((~ssPv1(elem!0)) | ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0))))),
% 1.39/1.53 inference(unit_resolution,[status(thm)],[110, 104, 38, 17])).
% 1.39/1.53 tff(112,plain,
% 1.39/1.53 (~ssPv1(elem!0)),
% 1.39/1.53 inference(unit_resolution,[status(thm)],[111, 94, 36, 76])).
% 1.39/1.53 tff(113,plain,
% 1.39/1.53 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))) <=> (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))))),
% 1.39/1.53 inference(bind,[status(th)],[])).
% 1.39/1.53 tff(114,plain,
% 1.39/1.53 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))),
% 1.39/1.53 inference(quant_intro,[status(thm)],[113])).
% 1.39/1.53 tff(115,plain,
% 1.39/1.53 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))),
% 1.39/1.53 inference(rewrite,[status(thm)],[])).
% 1.39/1.53 tff(116,plain,
% 1.39/1.53 (^[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))) <=> ((~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(W, X)) | (~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(W, X)) | (~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))) | (~ssPv2(W))) <=> (((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv2(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv2(W))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | ssPv3(Y)) <=> (((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))) | ssPv3(Y)))), rewrite((((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | ssPv3(Y)) | ssPv1(W)) <=> ((ssPv3(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))) | ssPv1(W)))), rewrite(((ssPv3(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))) | ssPv1(W)) <=> (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | ssPv3(Y)) | ssPv1(W)) <=> (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))))),
% 1.39/1.53 inference(bind,[status(th)],[])).
% 1.39/1.53 tff(117,plain,
% 1.39/1.53 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | ssPv3(Y)) | ssPv1(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))),
% 1.39/1.53 inference(quant_intro,[status(thm)],[116])).
% 1.39/1.53 tff(118,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))) | (~ssPv2(W))) | ssPv3(Y)) | ssPv1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause23')).
% 1.39/1.53 tff(119,plain,
% 1.39/1.53 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))),
% 1.39/1.53 inference(modus_ponens,[status(thm)],[118, 117])).
% 1.39/1.53 tff(120,plain,
% 1.39/1.53 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))),
% 1.39/1.53 inference(modus_ponens,[status(thm)],[119, 115])).
% 1.39/1.53 tff(121,plain,(
% 1.39/1.53 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))),
% 1.39/1.53 inference(skolemize,[status(sab)],[120])).
% 1.39/1.53 tff(122,plain,
% 1.39/1.53 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))),
% 1.39/1.53 inference(modus_ponens,[status(thm)],[121, 114])).
% 1.39/1.53 tff(123,plain,
% 1.39/1.53 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)))),
% 1.39/1.53 inference(rewrite,[status(thm)],[])).
% 1.39/1.53 tff(124,plain,
% 1.39/1.53 ((ssPv3(skf1(skf1(elem!0))) | ssPv1(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)))) | (~ssPv2(elem!0)) | (~ssPv2(skf1(skf1(elem!0))))) <=> (ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)))),
% 1.39/1.53 inference(rewrite,[status(thm)],[])).
% 1.39/1.53 tff(125,plain,
% 1.39/1.53 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(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)))) | (~ssPv2(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0))))),
% 1.39/1.54 inference(monotonicity,[status(thm)],[124])).
% 1.39/1.54 tff(126,plain,
% 1.39/1.54 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(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)))) | (~ssPv2(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)))),
% 1.39/1.54 inference(transitivity,[status(thm)],[125, 123])).
% 1.39/1.54 tff(127,plain,
% 1.39/1.54 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(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)))) | (~ssPv2(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.39/1.54 inference(quant_inst,[status(thm)],[])).
% 1.39/1.54 tff(128,plain,
% 1.39/1.54 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0))),
% 1.39/1.54 inference(modus_ponens,[status(thm)],[127, 126])).
% 1.39/1.54 tff(129,plain,
% 1.39/1.54 (ssPv1(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(elem!0))),
% 1.39/1.54 inference(unit_resolution,[status(thm)],[128, 122, 38, 17])).
% 1.39/1.54 tff(130,plain,
% 1.39/1.54 (~ssPv2(elem!0)),
% 1.39/1.54 inference(unit_resolution,[status(thm)],[129, 112, 94, 76])).
% 1.39/1.54 tff(131,assumption,(~ssPv2(elem!0)), introduced(assumption)).
% 1.39/1.54 tff(132,assumption,(~ssPv3(skf1(elem!0))), introduced(assumption)).
% 1.39/1.54 tff(133,plain,
% 1.39/1.54 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V)))),
% 1.39/1.54 inference(bind,[status(th)],[])).
% 1.39/1.54 tff(134,plain,
% 1.39/1.54 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))),
% 1.39/1.54 inference(quant_intro,[status(thm)],[133])).
% 1.39/1.54 tff(135,plain,
% 1.39/1.54 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))),
% 1.39/1.54 inference(rewrite,[status(thm)],[])).
% 1.39/1.54 tff(136,plain,
% 1.39/1.54 (^[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))) | ssPv3(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv3(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv3(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv3(V))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv3(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv3(V)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv3(V)) | ssPv3(X)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv3(V)) | ssPv3(X)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv3(V)) | ssPv3(X)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv3(V)) | ssPv3(X)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv3(V)) | ssPv3(X)) | ssPv4(W)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V)) | ssPv4(W)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V)) | ssPv4(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv3(V)) | ssPv3(X)) | ssPv4(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))))),
% 1.39/1.54 inference(bind,[status(th)],[])).
% 1.39/1.54 tff(137,plain,
% 1.39/1.54 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv3(V)) | ssPv3(X)) | ssPv4(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))),
% 1.39/1.54 inference(quant_intro,[status(thm)],[136])).
% 1.39/1.54 tff(138,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv3(V)) | ssPv3(X)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause6')).
% 1.39/1.54 tff(139,plain,
% 1.39/1.54 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))),
% 1.39/1.54 inference(modus_ponens,[status(thm)],[138, 137])).
% 1.39/1.54 tff(140,plain,
% 1.39/1.54 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))),
% 1.39/1.54 inference(modus_ponens,[status(thm)],[139, 135])).
% 1.39/1.54 tff(141,plain,(
% 1.39/1.54 ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))),
% 1.39/1.54 inference(skolemize,[status(sab)],[140])).
% 1.39/1.54 tff(142,plain,
% 1.39/1.54 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))),
% 1.39/1.54 inference(modus_ponens,[status(thm)],[141, 134])).
% 1.39/1.54 tff(143,plain,
% 1.39/1.54 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssPv3(elem!0)) | ssPv4(elem!0) | ssPv3(skf1(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, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | (~ssPv3(elem!0)) | ssPv4(elem!0) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.39/1.54 inference(rewrite,[status(thm)],[])).
% 1.39/1.54 tff(144,plain,
% 1.39/1.54 (((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssPv3(elem!0)) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0)))) <=> ((~ssPv3(elem!0)) | ssPv4(elem!0) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.39/1.54 inference(rewrite,[status(thm)],[])).
% 1.39/1.54 tff(145,plain,
% 1.39/1.54 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssPv3(elem!0)) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssPv3(elem!0)) | ssPv4(elem!0) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.39/1.54 inference(monotonicity,[status(thm)],[144])).
% 1.39/1.54 tff(146,plain,
% 1.39/1.54 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssPv3(elem!0)) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | (~ssPv3(elem!0)) | ssPv4(elem!0) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.39/1.54 inference(transitivity,[status(thm)],[145, 143])).
% 1.39/1.54 tff(147,plain,
% 1.39/1.54 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssPv3(elem!0)) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))))),
% 1.39/1.54 inference(quant_inst,[status(thm)],[])).
% 1.39/1.54 tff(148,plain,
% 1.39/1.54 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | (~ssPv3(elem!0)) | ssPv4(elem!0) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.39/1.54 inference(modus_ponens,[status(thm)],[147, 146])).
% 1.39/1.54 tff(149,plain,
% 1.39/1.54 ((~ssPv3(elem!0)) | ssPv4(elem!0) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0)))),
% 1.39/1.54 inference(unit_resolution,[status(thm)],[148, 142, 38, 17])).
% 1.39/1.54 tff(150,plain,
% 1.39/1.54 (~ssPv3(elem!0)),
% 1.39/1.54 inference(unit_resolution,[status(thm)],[149, 132, 36, 3])).
% 1.39/1.54 tff(151,assumption,(~ssPv1(elem!0)), introduced(assumption)).
% 1.39/1.54 tff(152,plain,
% 1.39/1.54 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)) <=> (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)))),
% 1.39/1.54 inference(bind,[status(th)],[])).
% 1.39/1.54 tff(153,plain,
% 1.39/1.54 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.39/1.54 inference(quant_intro,[status(thm)],[152])).
% 1.39/1.54 tff(154,plain,
% 1.39/1.54 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.39/1.54 inference(rewrite,[status(thm)],[])).
% 1.39/1.54 tff(155,plain,
% 1.39/1.54 (^[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)) | ssPv1(W) | (~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)) | ssPv1(W) | (~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)) | ssPv2(W)) <=> ((ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)))), rewrite(((ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)) <=> (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(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)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))))),
% 1.39/1.54 inference(bind,[status(th)],[])).
% 1.39/1.54 tff(156,plain,
% 1.39/1.54 (![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)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.39/1.54 inference(quant_intro,[status(thm)],[155])).
% 1.39/1.54 tff(157,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/sandbox/benchmark/theBenchmark.p','clause16')).
% 1.39/1.54 tff(158,plain,
% 1.39/1.54 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.39/1.54 inference(modus_ponens,[status(thm)],[157, 156])).
% 1.39/1.54 tff(159,plain,
% 1.39/1.54 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.39/1.54 inference(modus_ponens,[status(thm)],[158, 154])).
% 1.39/1.54 tff(160,plain,(
% 1.39/1.54 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.39/1.54 inference(skolemize,[status(sab)],[159])).
% 1.39/1.54 tff(161,plain,
% 1.39/1.54 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.39/1.54 inference(modus_ponens,[status(thm)],[160, 153])).
% 1.39/1.54 tff(162,plain,
% 1.39/1.54 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(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)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(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)))))),
% 1.39/1.54 inference(rewrite,[status(thm)],[])).
% 1.39/1.54 tff(163,plain,
% 1.39/1.54 ((ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(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)))) | ssPv2(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)))))),
% 1.39/1.54 inference(rewrite,[status(thm)],[])).
% 1.39/1.54 tff(164,plain,
% 1.39/1.54 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(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)))) | ssPv2(elem!0))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(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))))))),
% 1.39/1.54 inference(monotonicity,[status(thm)],[163])).
% 1.39/1.54 tff(165,plain,
% 1.39/1.54 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(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)))) | ssPv2(elem!0))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(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)))))),
% 1.39/1.54 inference(transitivity,[status(thm)],[164, 162])).
% 1.39/1.54 tff(166,plain,
% 1.39/1.54 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(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)))) | ssPv2(elem!0))),
% 1.39/1.54 inference(quant_inst,[status(thm)],[])).
% 1.39/1.54 tff(167,plain,
% 1.39/1.54 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(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))))),
% 1.39/1.54 inference(modus_ponens,[status(thm)],[166, 165])).
% 1.39/1.54 tff(168,plain,
% 1.39/1.54 (ssPv2(elem!0) | ssPv1(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0))))),
% 1.39/1.54 inference(unit_resolution,[status(thm)],[167, 161, 38, 17])).
% 1.39/1.54 tff(169,plain,
% 1.39/1.54 (~ssPv4(skf1(skf1(elem!0)))),
% 1.39/1.54 inference(unit_resolution,[status(thm)],[168, 151, 3, 131])).
% 1.39/1.54 tff(170,plain,
% 1.39/1.54 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) <=> (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)))),
% 1.39/1.54 inference(bind,[status(th)],[])).
% 1.39/1.54 tff(171,plain,
% 1.39/1.54 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~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] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.39/1.54 inference(quant_intro,[status(thm)],[170])).
% 1.39/1.54 tff(172,plain,
% 1.39/1.54 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~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] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.39/1.54 inference(rewrite,[status(thm)],[])).
% 1.39/1.54 tff(173,plain,
% 1.39/1.54 (^[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))) <=> ((~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(X, Y)) | (~ssRr(W, X)) | (~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, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssPv1(V)) | (~ssRr(X, Y)) | (~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))) <=> ((~ssPv1(V)) | (~ssRr(X, Y)) | (~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))) | ssPv4(Y)) <=> (((~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Y)))), rewrite((((~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~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))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~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))) | ssPv4(Y)) | ssPv3(Z)) <=> ((ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(Z)))), rewrite(((ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(Z)) <=> (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~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))) | ssPv4(Y)) | ssPv3(Z)) <=> (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~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))) | ssPv4(Y)) | ssPv3(Z)) | ssPv1(W)) <=> ((ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)))), rewrite(((ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)) <=> (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~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))) | ssPv4(Y)) | ssPv3(Z)) | ssPv1(W)) <=> (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))))),
% 1.39/1.54 inference(bind,[status(th)],[])).
% 1.39/1.54 tff(174,plain,
% 1.39/1.54 (![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))) | ssPv4(Y)) | ssPv3(Z)) | ssPv1(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.39/1.54 inference(quant_intro,[status(thm)],[173])).
% 1.39/1.54 tff(175,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))) | ssPv4(Y)) | ssPv3(Z)) | ssPv1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause33')).
% 1.39/1.54 tff(176,plain,
% 1.39/1.54 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.39/1.54 inference(modus_ponens,[status(thm)],[175, 174])).
% 1.39/1.54 tff(177,plain,
% 1.39/1.54 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.39/1.54 inference(modus_ponens,[status(thm)],[176, 172])).
% 1.39/1.54 tff(178,plain,(
% 1.39/1.54 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.39/1.54 inference(skolemize,[status(sab)],[177])).
% 1.39/1.54 tff(179,plain,
% 1.39/1.54 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.39/1.54 inference(modus_ponens,[status(thm)],[178, 171])).
% 1.39/1.54 tff(180,plain,
% 1.39/1.54 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(elem!0) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(elem!0) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))))),
% 1.39/1.54 inference(rewrite,[status(thm)],[])).
% 1.39/1.54 tff(181,plain,
% 1.39/1.54 ((ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(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)))) | ssPv1(elem!0)) <=> (ssPv1(elem!0) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))))),
% 1.39/1.54 inference(rewrite,[status(thm)],[])).
% 1.39/1.54 tff(182,plain,
% 1.39/1.54 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(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)))) | ssPv1(elem!0))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(elem!0) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0)))))),
% 1.39/1.54 inference(monotonicity,[status(thm)],[181])).
% 1.39/1.54 tff(183,plain,
% 1.39/1.54 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(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)))) | ssPv1(elem!0))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(elem!0) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))))),
% 1.39/1.54 inference(transitivity,[status(thm)],[182, 180])).
% 1.39/1.54 tff(184,plain,
% 1.39/1.54 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(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)))) | ssPv1(elem!0))),
% 1.39/1.54 inference(quant_inst,[status(thm)],[])).
% 1.39/1.54 tff(185,plain,
% 1.39/1.54 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(elem!0) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0)))),
% 1.39/1.54 inference(modus_ponens,[status(thm)],[184, 183])).
% 1.39/1.54 tff(186,plain,
% 1.39/1.54 (ssPv1(elem!0) | ssPv3(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0)))),
% 1.39/1.54 inference(unit_resolution,[status(thm)],[185, 179, 38, 17])).
% 1.39/1.54 tff(187,plain,
% 1.39/1.54 (~ssPv1(skf1(skf1(elem!0)))),
% 1.39/1.54 inference(unit_resolution,[status(thm)],[186, 132, 151, 169])).
% 1.39/1.54 tff(188,plain,
% 1.39/1.54 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y))) <=> (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y))))),
% 1.39/1.54 inference(bind,[status(th)],[])).
% 1.39/1.54 tff(189,plain,
% 1.39/1.54 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.39/1.54 inference(quant_intro,[status(thm)],[188])).
% 1.39/1.54 tff(190,plain,
% 1.39/1.54 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.39/1.54 inference(rewrite,[status(thm)],[])).
% 1.39/1.54 tff(191,plain,
% 1.39/1.54 (^[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))) | ssPv4(V)) <=> (((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv4(V)))), rewrite((((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv4(V)) <=> (ssPv4(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))) | ssPv4(V)) <=> (ssPv4(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))) | ssPv4(V)) | ssPv3(Y)) <=> ((ssPv4(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv3(Y)))), rewrite(((ssPv4(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv3(Y)) <=> (ssPv4(V) | ssPv3(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))) | ssPv4(V)) | ssPv3(Y)) <=> (ssPv4(V) | ssPv3(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))) | ssPv4(V)) | ssPv3(Y)) | ssPv4(W)) <=> ((ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv4(W)))), rewrite(((ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv4(W)) <=> (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv4(V)) | ssPv3(Y)) | ssPv4(W)) <=> (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))))),
% 1.39/1.55 inference(bind,[status(th)],[])).
% 1.39/1.55 tff(192,plain,
% 1.39/1.55 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv4(V)) | ssPv3(Y)) | ssPv4(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.39/1.55 inference(quant_intro,[status(thm)],[191])).
% 1.39/1.55 tff(193,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))) | ssPv4(V)) | ssPv3(Y)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause14')).
% 1.39/1.55 tff(194,plain,
% 1.39/1.55 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.39/1.55 inference(modus_ponens,[status(thm)],[193, 192])).
% 1.39/1.55 tff(195,plain,
% 1.39/1.55 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.39/1.55 inference(modus_ponens,[status(thm)],[194, 190])).
% 1.39/1.55 tff(196,plain,(
% 1.39/1.55 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.39/1.55 inference(skolemize,[status(sab)],[195])).
% 1.39/1.55 tff(197,plain,
% 1.39/1.55 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.39/1.55 inference(modus_ponens,[status(thm)],[196, 189])).
% 1.39/1.55 tff(198,plain,
% 1.39/1.55 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(elem!0) | ssPv3(skf1(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, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(elem!0) | ssPv3(skf1(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))))),
% 1.39/1.55 inference(rewrite,[status(thm)],[])).
% 1.39/1.55 tff(199,plain,
% 1.39/1.55 ((ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssPv2(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) | (~ssRr(elem!0, skf1(elem!0)))) <=> (ssPv4(elem!0) | ssPv3(skf1(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))))),
% 1.39/1.55 inference(rewrite,[status(thm)],[])).
% 1.39/1.55 tff(200,plain,
% 1.39/1.55 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssPv2(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) | (~ssRr(elem!0, skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(elem!0) | ssPv3(skf1(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)))))),
% 1.39/1.55 inference(monotonicity,[status(thm)],[199])).
% 1.39/1.55 tff(201,plain,
% 1.39/1.55 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssPv2(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) | (~ssRr(elem!0, skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(elem!0) | ssPv3(skf1(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))))),
% 1.39/1.55 inference(transitivity,[status(thm)],[200, 198])).
% 1.39/1.55 tff(202,plain,
% 1.39/1.55 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssPv2(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) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.39/1.55 inference(quant_inst,[status(thm)],[])).
% 1.39/1.55 tff(203,plain,
% 1.39/1.55 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(elem!0) | ssPv3(skf1(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)))),
% 1.39/1.55 inference(modus_ponens,[status(thm)],[202, 201])).
% 1.39/1.55 tff(204,plain,
% 1.39/1.55 (ssPv4(elem!0) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0)))),
% 1.39/1.55 inference(unit_resolution,[status(thm)],[203, 197, 38, 17])).
% 1.39/1.55 tff(205,plain,
% 1.39/1.55 (~ssPv2(skf1(elem!0))),
% 1.39/1.55 inference(unit_resolution,[status(thm)],[204, 132, 36, 169])).
% 1.39/1.55 tff(206,plain,
% 1.39/1.55 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.39/1.55 inference(bind,[status(th)],[])).
% 1.39/1.55 tff(207,plain,
% 1.39/1.55 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.39/1.55 inference(quant_intro,[status(thm)],[206])).
% 1.39/1.55 tff(208,plain,
% 1.39/1.55 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.39/1.55 inference(rewrite,[status(thm)],[])).
% 1.39/1.55 tff(209,plain,
% 1.39/1.55 (^[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(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(V)) <=> (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv1(V)) <=> (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv1(V)) | ssPv2(X)) <=> ((ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(X)))), rewrite(((ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(X)) <=> (ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv1(V)) | ssPv2(X)) <=> (ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv1(V)) | ssPv2(X)) | ssPv2(W)) <=> ((ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)))), rewrite(((ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)) <=> (ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv1(V)) | ssPv2(X)) | ssPv2(W)) <=> (ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv1(V)) | ssPv2(X)) | ssPv2(W)) | ssPv3(W)) <=> ((ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)))), rewrite(((ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)) <=> (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv1(V)) | ssPv2(X)) | ssPv2(W)) | ssPv3(W)) <=> (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.39/1.55 inference(bind,[status(th)],[])).
% 1.39/1.55 tff(210,plain,
% 1.39/1.55 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv1(V)) | ssPv2(X)) | ssPv2(W)) | ssPv3(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.39/1.55 inference(quant_intro,[status(thm)],[209])).
% 1.39/1.55 tff(211,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv1(V)) | ssPv2(X)) | ssPv2(W)) | ssPv3(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause2')).
% 1.39/1.55 tff(212,plain,
% 1.39/1.55 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.39/1.55 inference(modus_ponens,[status(thm)],[211, 210])).
% 1.39/1.55 tff(213,plain,
% 1.39/1.55 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.39/1.55 inference(modus_ponens,[status(thm)],[212, 208])).
% 1.39/1.55 tff(214,plain,(
% 1.39/1.55 ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.39/1.55 inference(skolemize,[status(sab)],[213])).
% 1.39/1.55 tff(215,plain,
% 1.39/1.55 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.39/1.55 inference(modus_ponens,[status(thm)],[214, 207])).
% 1.39/1.55 tff(216,plain,
% 1.39/1.55 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(elem!0) | ssPv3(elem!0) | ssPv2(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(elem!0) | ssPv3(elem!0) | ssPv2(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.39/1.55 inference(rewrite,[status(thm)],[])).
% 1.39/1.55 tff(217,plain,
% 1.39/1.55 ((ssPv3(elem!0) | ssPv2(elem!0) | ssPv2(skf1(elem!0)) | ssPv1(skf1(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) | ssPv3(elem!0) | ssPv2(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.39/1.55 inference(rewrite,[status(thm)],[])).
% 1.39/1.55 tff(218,plain,
% 1.39/1.55 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(elem!0) | ssPv2(elem!0) | ssPv2(skf1(elem!0)) | ssPv1(skf1(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(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(elem!0) | ssPv3(elem!0) | ssPv2(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.39/1.55 inference(monotonicity,[status(thm)],[217])).
% 1.39/1.55 tff(219,plain,
% 1.39/1.55 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(elem!0) | ssPv2(elem!0) | ssPv2(skf1(elem!0)) | ssPv1(skf1(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(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(elem!0) | ssPv3(elem!0) | ssPv2(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.39/1.55 inference(transitivity,[status(thm)],[218, 216])).
% 1.39/1.55 tff(220,plain,
% 1.39/1.55 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(elem!0) | ssPv2(elem!0) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.39/1.55 inference(quant_inst,[status(thm)],[])).
% 1.39/1.55 tff(221,plain,
% 1.39/1.55 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(elem!0) | ssPv3(elem!0) | ssPv2(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.39/1.55 inference(modus_ponens,[status(thm)],[220, 219])).
% 1.39/1.55 tff(222,plain,
% 1.39/1.55 (ssPv2(elem!0) | ssPv3(elem!0) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0)))),
% 1.39/1.55 inference(unit_resolution,[status(thm)],[221, 215, 38, 17])).
% 1.39/1.55 tff(223,plain,
% 1.39/1.55 ($false),
% 1.39/1.55 inference(unit_resolution,[status(thm)],[222, 205, 187, 150, 131])).
% 1.39/1.55 tff(224,plain,(ssPv3(skf1(elem!0)) | ssPv2(elem!0) | ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | ssPv1(elem!0)), inference(lemma,lemma(discharge,[]))).
% 1.39/1.55 tff(225,plain,
% 1.39/1.55 (ssPv3(skf1(elem!0))),
% 1.39/1.55 inference(unit_resolution,[status(thm)],[224, 130, 36, 94, 112])).
% 1.39/1.55 tff(226,plain,
% 1.39/1.55 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V))))),
% 1.39/1.55 inference(bind,[status(th)],[])).
% 1.39/1.55 tff(227,plain,
% 1.39/1.55 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))),
% 1.39/1.55 inference(quant_intro,[status(thm)],[226])).
% 1.39/1.55 tff(228,plain,
% 1.39/1.55 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))),
% 1.39/1.55 inference(rewrite,[status(thm)],[])).
% 1.39/1.55 tff(229,plain,
% 1.39/1.55 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv4(V))) <=> ((~ssRr(U, V)) | (~ssPv4(V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> (((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))))), rewrite((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(V))))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, X))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(V)))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(V))))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(V))) | (~ssPv2(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(V))) | (~ssPv2(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv4(V)))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv4(V))))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv3(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv4(V))) | (~ssPv3(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv4(V))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(X)) | (~ssPv4(V)))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(X)) | (~ssPv4(V))))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv3(W))) | ssPv1(W)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(X)) | (~ssPv4(V))) | ssPv1(W)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(X)) | (~ssPv4(V))) | ssPv1(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv3(W))) | ssPv1(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))))),
% 1.39/1.55 inference(bind,[status(th)],[])).
% 1.39/1.55 tff(230,plain,
% 1.39/1.55 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv3(W))) | ssPv1(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))),
% 1.39/1.55 inference(quant_intro,[status(thm)],[229])).
% 1.39/1.55 tff(231,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv3(W))) | ssPv1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause10')).
% 1.39/1.55 tff(232,plain,
% 1.39/1.55 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))),
% 1.39/1.55 inference(modus_ponens,[status(thm)],[231, 230])).
% 1.39/1.55 tff(233,plain,
% 1.39/1.55 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))),
% 1.39/1.55 inference(modus_ponens,[status(thm)],[232, 228])).
% 1.39/1.55 tff(234,plain,(
% 1.39/1.55 ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))),
% 1.39/1.55 inference(skolemize,[status(sab)],[233])).
% 1.39/1.55 tff(235,plain,
% 1.39/1.55 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))),
% 1.39/1.55 inference(modus_ponens,[status(thm)],[234, 227])).
% 1.39/1.55 tff(236,plain,
% 1.39/1.55 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(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))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(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))))))),
% 1.39/1.55 inference(rewrite,[status(thm)],[])).
% 1.39/1.55 tff(237,plain,
% 1.39/1.55 (((~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))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(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))))))),
% 1.39/1.55 inference(rewrite,[status(thm)],[])).
% 1.39/1.55 tff(238,plain,
% 1.39/1.55 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(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))))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(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)))))))),
% 1.39/1.55 inference(monotonicity,[status(thm)],[237])).
% 1.39/1.55 tff(239,plain,
% 1.39/1.55 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(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))))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(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))))))),
% 1.39/1.55 inference(transitivity,[status(thm)],[238, 236])).
% 1.39/1.55 tff(240,plain,
% 1.39/1.55 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(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))))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.39/1.55 inference(quant_inst,[status(thm)],[])).
% 1.39/1.55 tff(241,plain,
% 1.39/1.55 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(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)))))),
% 1.39/1.55 inference(modus_ponens,[status(thm)],[240, 239])).
% 1.39/1.55 tff(242,plain,
% 1.39/1.55 ((~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.39/1.55 inference(unit_resolution,[status(thm)],[241, 235, 17, 15])).
% 1.39/1.55 tff(243,plain,
% 1.39/1.55 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.39/1.55 inference(unit_resolution,[status(thm)],[242, 225, 6, 76])).
% 1.39/1.55 tff(244,plain,
% 1.39/1.55 (~ssPv4(skf1(skf1(elem!0)))),
% 1.39/1.55 inference(unit_resolution,[status(thm)],[168, 112, 94, 130])).
% 1.39/1.55 tff(245,assumption,(~ssPv4(skf1(elem!0))), introduced(assumption)).
% 1.39/1.55 tff(246,plain,
% 1.39/1.55 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y))) <=> (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y))))),
% 1.39/1.55 inference(bind,[status(th)],[])).
% 1.39/1.55 tff(247,plain,
% 1.39/1.55 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))),
% 1.39/1.55 inference(quant_intro,[status(thm)],[246])).
% 1.39/1.55 tff(248,plain,
% 1.39/1.55 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))),
% 1.39/1.55 inference(rewrite,[status(thm)],[])).
% 1.39/1.55 tff(249,plain,
% 1.39/1.55 (^[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))) <=> ((~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))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) <=> (((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Y))))), rewrite((((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Y))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) <=> (((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | ssPv4(Z)))), rewrite((((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | ssPv4(Z)) <=> (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) <=> (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))))), ((((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) | ssPv2(W)) <=> ((ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | ssPv2(W)))), rewrite(((ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | ssPv2(W)) <=> (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))), ((((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) | ssPv2(W)) <=> (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))))),
% 1.39/1.55 inference(bind,[status(th)],[])).
% 1.39/1.55 tff(250,plain,
% 1.39/1.55 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) | ssPv2(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))),
% 1.39/1.55 inference(quant_intro,[status(thm)],[249])).
% 1.39/1.55 tff(251,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) | ssPv2(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause36')).
% 1.39/1.55 tff(252,plain,
% 1.39/1.55 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))),
% 1.39/1.55 inference(modus_ponens,[status(thm)],[251, 250])).
% 1.39/1.55 tff(253,plain,
% 1.39/1.55 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))),
% 1.39/1.55 inference(modus_ponens,[status(thm)],[252, 248])).
% 1.39/1.55 tff(254,plain,(
% 1.39/1.55 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))),
% 1.39/1.55 inference(skolemize,[status(sab)],[253])).
% 1.39/1.55 tff(255,plain,
% 1.39/1.55 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))),
% 1.39/1.55 inference(modus_ponens,[status(thm)],[254, 247])).
% 1.39/1.55 tff(256,plain,
% 1.39/1.55 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv2(elem!0) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ssPv2(elem!0) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.39/1.55 inference(rewrite,[status(thm)],[])).
% 1.39/1.55 tff(257,plain,
% 1.39/1.55 ((ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(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) | (~ssPv1(skf1(skf1(elem!0))))) <=> (ssPv2(elem!0) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.39/1.55 inference(rewrite,[status(thm)],[])).
% 1.39/1.55 tff(258,plain,
% 1.39/1.55 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(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) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv2(elem!0) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.39/1.55 inference(monotonicity,[status(thm)],[257])).
% 1.39/1.55 tff(259,plain,
% 1.39/1.55 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(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) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ssPv2(elem!0) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.39/1.55 inference(transitivity,[status(thm)],[258, 256])).
% 1.39/1.55 tff(260,plain,
% 1.39/1.55 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(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) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.39/1.55 inference(quant_inst,[status(thm)],[])).
% 1.39/1.55 tff(261,plain,
% 1.39/1.55 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ssPv2(elem!0) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.39/1.55 inference(modus_ponens,[status(thm)],[260, 259])).
% 1.39/1.55 tff(262,plain,
% 1.39/1.55 (ssPv2(elem!0) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0))))),
% 1.39/1.55 inference(unit_resolution,[status(thm)],[261, 255, 38, 17])).
% 1.39/1.55 tff(263,plain,
% 1.39/1.55 (~ssPv1(skf1(skf1(elem!0)))),
% 1.39/1.55 inference(unit_resolution,[status(thm)],[262, 245, 76, 130])).
% 1.39/1.55 tff(264,plain,
% 1.39/1.55 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) <=> (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))))),
% 1.39/1.55 inference(bind,[status(th)],[])).
% 1.39/1.55 tff(265,plain,
% 1.39/1.55 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.39/1.55 inference(quant_intro,[status(thm)],[264])).
% 1.39/1.55 tff(266,plain,
% 1.39/1.55 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.39/1.55 inference(rewrite,[status(thm)],[])).
% 1.39/1.55 tff(267,plain,
% 1.39/1.55 (^[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(W))) <=> (((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(W))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(W))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(W))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(W))) | ssPv3(V)) <=> (((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv3(V)))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(W))) | ssPv3(V)) | ssPv1(Y)) <=> ((ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv1(Y)))), rewrite(((ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv1(Y)) <=> (ssPv1(Y) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(W))) | ssPv3(V)) | ssPv1(Y)) <=> (ssPv1(Y) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))))), ((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(W))) | ssPv3(V)) | ssPv1(Y)) | ssPv1(Z)) <=> ((ssPv1(Y) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv1(Z)))), rewrite(((ssPv1(Y) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv1(Z)) <=> (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))), ((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(W))) | ssPv3(V)) | ssPv1(Y)) | ssPv1(Z)) <=> (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))))),
% 1.39/1.55 inference(bind,[status(th)],[])).
% 1.39/1.55 tff(268,plain,
% 1.39/1.55 (![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(W))) | ssPv3(V)) | ssPv1(Y)) | ssPv1(Z)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.39/1.55 inference(quant_intro,[status(thm)],[267])).
% 1.39/1.55 tff(269,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(W))) | ssPv3(V)) | ssPv1(Y)) | ssPv1(Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause31')).
% 1.39/1.56 tff(270,plain,
% 1.39/1.56 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.39/1.56 inference(modus_ponens,[status(thm)],[269, 268])).
% 1.39/1.56 tff(271,plain,
% 1.39/1.56 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.39/1.56 inference(modus_ponens,[status(thm)],[270, 266])).
% 1.39/1.56 tff(272,plain,(
% 1.39/1.56 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.39/1.56 inference(skolemize,[status(sab)],[271])).
% 1.39/1.56 tff(273,plain,
% 1.39/1.56 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.39/1.56 inference(modus_ponens,[status(thm)],[272, 265])).
% 1.39/1.56 tff(274,plain,
% 1.39/1.56 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv1(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] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.39/1.56 inference(rewrite,[status(thm)],[])).
% 1.39/1.56 tff(275,plain,
% 1.39/1.56 ((ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(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)))) | (~ssPv3(elem!0))) <=> ((~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.39/1.56 inference(rewrite,[status(thm)],[])).
% 1.39/1.56 tff(276,plain,
% 1.39/1.56 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(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)))) | (~ssPv3(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.39/1.56 inference(monotonicity,[status(thm)],[275])).
% 1.39/1.56 tff(277,plain,
% 1.39/1.56 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(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)))) | (~ssPv3(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.39/1.56 inference(transitivity,[status(thm)],[276, 274])).
% 1.39/1.56 tff(278,plain,
% 1.39/1.56 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(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)))) | (~ssPv3(elem!0)))),
% 1.39/1.56 inference(quant_inst,[status(thm)],[])).
% 1.39/1.56 tff(279,plain,
% 1.39/1.56 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.39/1.56 inference(modus_ponens,[status(thm)],[278, 277])).
% 1.39/1.56 tff(280,plain,
% 1.39/1.56 ((~ssPv3(elem!0)) | ssPv1(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0)))),
% 1.39/1.56 inference(unit_resolution,[status(thm)],[279, 273, 38, 17])).
% 1.39/1.56 tff(281,plain,
% 1.39/1.56 (~ssPv3(elem!0)),
% 1.39/1.56 inference(unit_resolution,[status(thm)],[280, 263, 6, 94])).
% 1.39/1.56 tff(282,plain,
% 1.39/1.56 (ssPv2(skf1(elem!0))),
% 1.39/1.56 inference(unit_resolution,[status(thm)],[222, 263, 281, 130])).
% 1.39/1.56 tff(283,plain,
% 1.39/1.56 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(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)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(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)))))),
% 1.39/1.56 inference(rewrite,[status(thm)],[])).
% 1.39/1.56 tff(284,plain,
% 1.39/1.56 ((ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(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)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> (ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(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)))))),
% 1.39/1.56 inference(rewrite,[status(thm)],[])).
% 1.39/1.56 tff(285,plain,
% 1.39/1.56 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(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)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(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))))))),
% 1.39/1.56 inference(monotonicity,[status(thm)],[284])).
% 1.39/1.56 tff(286,plain,
% 1.39/1.56 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(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)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(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)))))),
% 1.39/1.56 inference(transitivity,[status(thm)],[285, 283])).
% 1.39/1.56 tff(287,plain,
% 1.39/1.56 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(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)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.39/1.56 inference(quant_inst,[status(thm)],[])).
% 1.39/1.56 tff(288,plain,
% 1.39/1.56 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.39/1.56 inference(modus_ponens,[status(thm)],[287, 286])).
% 1.39/1.56 tff(289,plain,
% 1.39/1.56 (ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.39/1.56 inference(unit_resolution,[status(thm)],[288, 197, 17, 15])).
% 1.39/1.56 tff(290,plain,
% 1.39/1.56 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.39/1.56 inference(unit_resolution,[status(thm)],[289, 245, 76, 94])).
% 1.39/1.56 tff(291,plain,
% 1.39/1.56 (~ssPv3(skf1(elem!0))),
% 1.39/1.56 inference(unit_resolution,[status(thm)],[242, 290, 6, 76])).
% 1.39/1.56 tff(292,plain,
% 1.39/1.56 ($false),
% 1.39/1.56 inference(unit_resolution,[status(thm)],[204, 291, 282, 36, 244])).
% 1.39/1.56 tff(293,plain,(ssPv4(skf1(elem!0)) | ssPv4(elem!0) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.39/1.56 tff(294,plain,
% 1.39/1.56 (ssPv4(skf1(elem!0))),
% 1.39/1.56 inference(unit_resolution,[status(thm)],[293, 36, 6])).
% 1.39/1.56 tff(295,plain,
% 1.39/1.56 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))) <=> (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))))),
% 1.39/1.56 inference(bind,[status(th)],[])).
% 1.39/1.56 tff(296,plain,
% 1.39/1.56 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))),
% 1.39/1.56 inference(quant_intro,[status(thm)],[295])).
% 1.39/1.56 tff(297,plain,
% 1.39/1.56 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))),
% 1.39/1.56 inference(rewrite,[status(thm)],[])).
% 1.39/1.56 tff(298,plain,
% 1.39/1.56 (^[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))) | (~ssPv4(W))) <=> (((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv4(W))))), rewrite((((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv4(W))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) | ssPv3(V)) <=> (((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))) | ssPv3(V)))), rewrite((((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) | ssPv3(V)) | ssPv3(Y)) <=> ((ssPv3(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))) | ssPv3(Y)))), rewrite(((ssPv3(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))) | ssPv3(Y)) <=> (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) | ssPv3(V)) | ssPv3(Y)) <=> (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))))),
% 1.39/1.56 inference(bind,[status(th)],[])).
% 1.39/1.56 tff(299,plain,
% 1.39/1.56 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) | ssPv3(V)) | ssPv3(Y)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))),
% 1.39/1.56 inference(quant_intro,[status(thm)],[298])).
% 1.39/1.56 tff(300,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))) | (~ssPv4(W))) | ssPv3(V)) | ssPv3(Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause17')).
% 1.39/1.56 tff(301,plain,
% 1.39/1.56 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))),
% 1.39/1.56 inference(modus_ponens,[status(thm)],[300, 299])).
% 1.39/1.56 tff(302,plain,
% 1.39/1.56 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))),
% 1.39/1.56 inference(modus_ponens,[status(thm)],[301, 297])).
% 1.39/1.56 tff(303,plain,(
% 1.39/1.56 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))),
% 1.39/1.56 inference(skolemize,[status(sab)],[302])).
% 1.39/1.56 tff(304,plain,
% 1.39/1.56 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))),
% 1.39/1.56 inference(modus_ponens,[status(thm)],[303, 296])).
% 1.39/1.56 tff(305,plain,
% 1.39/1.56 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(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, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(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))))))),
% 1.39/1.56 inference(rewrite,[status(thm)],[])).
% 1.39/1.56 tff(306,plain,
% 1.39/1.56 ((ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(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)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0)))) <=> (ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(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))))))),
% 1.39/1.56 inference(rewrite,[status(thm)],[])).
% 1.39/1.56 tff(307,plain,
% 1.39/1.56 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(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)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(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)))))))),
% 1.39/1.56 inference(monotonicity,[status(thm)],[306])).
% 1.39/1.56 tff(308,plain,
% 1.39/1.56 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(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)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(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))))))),
% 1.39/1.56 inference(transitivity,[status(thm)],[307, 305])).
% 1.39/1.56 tff(309,plain,
% 1.39/1.56 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(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)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))),
% 1.39/1.56 inference(quant_inst,[status(thm)],[])).
% 1.39/1.56 tff(310,plain,
% 1.39/1.56 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(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)))))),
% 1.39/1.56 inference(modus_ponens,[status(thm)],[309, 308])).
% 1.39/1.56 tff(311,plain,
% 1.39/1.56 (ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.39/1.56 inference(unit_resolution,[status(thm)],[310, 304, 17, 15])).
% 1.39/1.56 tff(312,plain,
% 1.39/1.56 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.39/1.56 inference(unit_resolution,[status(thm)],[311, 294, 76, 94])).
% 1.39/1.56 tff(313,plain,
% 1.39/1.56 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))) <=> (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))))),
% 1.39/1.56 inference(bind,[status(th)],[])).
% 1.39/1.56 tff(314,plain,
% 1.39/1.56 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))),
% 1.39/1.56 inference(quant_intro,[status(thm)],[313])).
% 1.39/1.56 tff(315,plain,
% 1.39/1.56 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))),
% 1.39/1.56 inference(rewrite,[status(thm)],[])).
% 1.39/1.56 tff(316,plain,
% 1.39/1.56 (^[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))) | (~ssPv3(W))) <=> (((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv3(W))))), rewrite((((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv3(W))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv2(V)) <=> (((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))) | ssPv2(V)))), rewrite((((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))) | ssPv2(V)) <=> (ssPv2(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv2(V)) <=> (ssPv2(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv2(V)) | ssPv4(Y)) <=> ((ssPv2(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))) | ssPv4(Y)))), rewrite(((ssPv2(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))) | ssPv4(Y)) <=> (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv2(V)) | ssPv4(Y)) <=> (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))))),
% 1.39/1.56 inference(bind,[status(th)],[])).
% 1.39/1.56 tff(317,plain,
% 1.39/1.56 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv2(V)) | ssPv4(Y)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))),
% 1.39/1.56 inference(quant_intro,[status(thm)],[316])).
% 1.39/1.56 tff(318,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))) | (~ssPv3(W))) | ssPv2(V)) | ssPv4(Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause18')).
% 1.39/1.56 tff(319,plain,
% 1.39/1.56 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))),
% 1.39/1.56 inference(modus_ponens,[status(thm)],[318, 317])).
% 1.39/1.56 tff(320,plain,
% 1.39/1.56 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))),
% 1.39/1.56 inference(modus_ponens,[status(thm)],[319, 315])).
% 1.39/1.56 tff(321,plain,(
% 1.39/1.56 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))),
% 1.39/1.56 inference(skolemize,[status(sab)],[320])).
% 1.39/1.56 tff(322,plain,
% 1.39/1.56 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))),
% 1.39/1.56 inference(modus_ponens,[status(thm)],[321, 314])).
% 1.39/1.56 tff(323,plain,
% 1.39/1.56 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | ((~ssPv3(skf1(elem!0))) | ssPv2(skf1(skf1(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))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (~ssPv3(skf1(elem!0))) | ssPv2(skf1(skf1(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))))))),
% 1.39/1.56 inference(rewrite,[status(thm)],[])).
% 1.39/1.56 tff(324,plain,
% 1.39/1.56 ((ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(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)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> ((~ssPv3(skf1(elem!0))) | ssPv2(skf1(skf1(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))))))),
% 1.39/1.56 inference(rewrite,[status(thm)],[])).
% 1.39/1.56 tff(325,plain,
% 1.39/1.56 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(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)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | ((~ssPv3(skf1(elem!0))) | ssPv2(skf1(skf1(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)))))))),
% 1.39/1.56 inference(monotonicity,[status(thm)],[324])).
% 1.39/1.56 tff(326,plain,
% 1.39/1.56 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(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)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (~ssPv3(skf1(elem!0))) | ssPv2(skf1(skf1(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))))))),
% 1.39/1.56 inference(transitivity,[status(thm)],[325, 323])).
% 1.39/1.56 tff(327,plain,
% 1.39/1.56 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(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)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.39/1.56 inference(quant_inst,[status(thm)],[])).
% 1.39/1.56 tff(328,plain,
% 1.39/1.56 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (~ssPv3(skf1(elem!0))) | ssPv2(skf1(skf1(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)))))),
% 1.39/1.56 inference(modus_ponens,[status(thm)],[327, 326])).
% 1.39/1.56 tff(329,plain,
% 1.39/1.56 ((~ssPv3(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0)))),
% 1.39/1.56 inference(unit_resolution,[status(thm)],[328, 322, 17, 15])).
% 1.39/1.56 tff(330,plain,
% 1.39/1.56 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.39/1.56 inference(unit_resolution,[status(thm)],[329, 225, 76, 244])).
% 1.39/1.56 tff(331,plain,
% 1.39/1.56 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl((ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) <=> (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)))),
% 1.39/1.56 inference(bind,[status(th)],[])).
% 1.39/1.56 tff(332,plain,
% 1.39/1.56 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(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, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.39/1.56 inference(quant_intro,[status(thm)],[331])).
% 1.39/1.56 tff(333,plain,
% 1.39/1.56 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(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, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.39/1.57 inference(rewrite,[status(thm)],[])).
% 1.39/1.57 tff(334,plain,
% 1.39/1.57 (^[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)) | (~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))) <=> ((~ssRr(X, Y)) | (~ssPv2(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)) | (~ssPv2(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))) <=> (((~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv2(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(X, Y)) | (~ssPv2(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(Z, X1))) <=> (((~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(Z, X1))))), rewrite((((~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(Z, X1))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(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(Z, X1))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(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(Z, X1))) | (~ssRr(W, Z))) <=> (((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(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(Z, X1))) | (~ssRr(W, Z))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(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(Z, X1))) | (~ssRr(W, Z))) | ssPv1(X1)) <=> (((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(X1)))), rewrite((((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(X1)) <=> (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(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(Z, X1))) | (~ssRr(W, Z))) | ssPv1(X1)) <=> (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(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(Z, X1))) | (~ssRr(W, Z))) | ssPv1(X1)) | ssPv1(W)) <=> ((ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)))), rewrite(((ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)) <=> (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))), (((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | ssPv1(X1)) | ssPv1(W)) <=> (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))))),
% 1.39/1.57 inference(bind,[status(th)],[])).
% 1.39/1.57 tff(335,plain,
% 1.39/1.57 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | ssPv1(X1)) | ssPv1(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.39/1.57 inference(quant_intro,[status(thm)],[334])).
% 1.39/1.57 tff(336,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | ssPv1(X1)) | ssPv1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause48')).
% 1.39/1.57 tff(337,plain,
% 1.39/1.57 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.39/1.57 inference(modus_ponens,[status(thm)],[336, 335])).
% 1.39/1.57 tff(338,plain,
% 1.39/1.57 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.39/1.57 inference(modus_ponens,[status(thm)],[337, 333])).
% 1.39/1.57 tff(339,plain,(
% 1.39/1.57 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.39/1.57 inference(skolemize,[status(sab)],[338])).
% 1.39/1.57 tff(340,plain,
% 1.39/1.57 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.39/1.57 inference(modus_ponens,[status(thm)],[339, 332])).
% 1.39/1.57 tff(341,plain,
% 1.39/1.57 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(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)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(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) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(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)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.39/1.57 inference(rewrite,[status(thm)],[])).
% 1.39/1.57 tff(342,plain,
% 1.39/1.57 ((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))))) | (~ssPv2(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))))) | ssPv1(skf1(elem!0))) <=> (ssPv1(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))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.39/1.57 inference(rewrite,[status(thm)],[])).
% 1.39/1.57 tff(343,plain,
% 1.39/1.57 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (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))))) | (~ssPv2(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))))) | ssPv1(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(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)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.39/1.57 inference(monotonicity,[status(thm)],[342])).
% 1.39/1.57 tff(344,plain,
% 1.39/1.57 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (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))))) | (~ssPv2(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))))) | ssPv1(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(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)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.39/1.57 inference(transitivity,[status(thm)],[343, 341])).
% 1.39/1.57 tff(345,plain,
% 1.39/1.57 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (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))))) | (~ssPv2(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))))) | ssPv1(skf1(elem!0)))),
% 1.39/1.57 inference(quant_inst,[status(thm)],[])).
% 1.39/1.57 tff(346,plain,
% 1.39/1.57 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(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)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.39/1.57 inference(modus_ponens,[status(thm)],[345, 344])).
% 1.39/1.57 tff(347,plain,
% 1.39/1.57 (ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.39/1.57 inference(unit_resolution,[status(thm)],[346, 340, 17, 15])).
% 1.39/1.57 tff(348,plain,
% 1.39/1.57 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.39/1.57 inference(unit_resolution,[status(thm)],[347, 330, 6, 312])).
% 1.39/1.57 tff(349,plain,
% 1.39/1.57 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(elem!0)) | ssPv3(skf1(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)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(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)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.39/1.57 inference(rewrite,[status(thm)],[])).
% 1.39/1.57 tff(350,plain,
% 1.39/1.57 ((ssPv3(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))))) | (~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)) | ssPv3(skf1(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)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.39/1.57 inference(rewrite,[status(thm)],[])).
% 1.39/1.57 tff(351,plain,
% 1.39/1.57 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(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))))) | (~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] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(elem!0)) | ssPv3(skf1(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)))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))))),
% 1.39/1.57 inference(monotonicity,[status(thm)],[350])).
% 1.39/1.57 tff(352,plain,
% 1.39/1.57 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(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))))) | (~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] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(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)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.39/1.57 inference(transitivity,[status(thm)],[351, 349])).
% 1.39/1.57 tff(353,plain,
% 1.39/1.57 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(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))))) | (~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)))),
% 1.39/1.57 inference(quant_inst,[status(thm)],[])).
% 1.39/1.57 tff(354,plain,
% 1.39/1.57 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.39/1.57 inference(modus_ponens,[status(thm)],[353, 352])).
% 1.39/1.57 tff(355,plain,
% 1.39/1.57 (ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.39/1.57 inference(unit_resolution,[status(thm)],[354, 179, 17, 15])).
% 1.39/1.57 tff(356,plain,
% 1.39/1.57 ($false),
% 1.39/1.57 inference(unit_resolution,[status(thm)],[355, 348, 243, 6, 94])).
% 1.39/1.57 tff(357,plain,(ssPv4(elem!0) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.39/1.57 tff(358,plain,
% 1.39/1.57 (ssPv4(elem!0)),
% 1.39/1.57 inference(unit_resolution,[status(thm)],[357, 6])).
% 1.39/1.57 tff(359,plain,
% 1.39/1.57 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ((~ssPv4(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssPv4(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.39/1.57 inference(rewrite,[status(thm)],[])).
% 1.39/1.57 tff(360,plain,
% 1.39/1.57 ((ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssPv2(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))) | (~ssPv4(elem!0))) <=> ((~ssPv4(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.39/1.57 inference(rewrite,[status(thm)],[])).
% 1.39/1.57 tff(361,plain,
% 1.39/1.57 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssPv2(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))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ((~ssPv4(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.39/1.57 inference(monotonicity,[status(thm)],[360])).
% 1.39/1.57 tff(362,plain,
% 1.39/1.57 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssPv2(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))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssPv4(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.39/1.57 inference(transitivity,[status(thm)],[361, 359])).
% 1.39/1.57 tff(363,plain,
% 1.39/1.57 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssPv2(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))) | (~ssPv4(elem!0)))),
% 1.39/1.57 inference(quant_inst,[status(thm)],[])).
% 1.39/1.57 tff(364,plain,
% 1.39/1.57 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssPv4(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.39/1.57 inference(modus_ponens,[status(thm)],[363, 362])).
% 1.39/1.57 tff(365,plain,
% 1.39/1.57 ((~ssPv4(elem!0)) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0)))),
% 1.39/1.57 inference(unit_resolution,[status(thm)],[364, 304, 38, 17])).
% 1.39/1.57 tff(366,plain,
% 1.39/1.57 (~ssPv2(skf1(elem!0))),
% 1.39/1.57 inference(unit_resolution,[status(thm)],[365, 132, 358, 3])).
% 1.39/1.57 tff(367,plain,
% 1.39/1.57 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(elem!0)) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(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] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(elem!0)) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.39/1.57 inference(rewrite,[status(thm)],[])).
% 1.39/1.57 tff(368,plain,
% 1.39/1.57 ((ssPv3(skf1(elem!0)) | ssPv2(skf1(elem!0)) | ssPv2(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(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv3(skf1(elem!0)) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.39/1.57 inference(rewrite,[status(thm)],[])).
% 1.39/1.57 tff(369,plain,
% 1.39/1.57 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(elem!0)) | ssPv2(skf1(elem!0)) | ssPv2(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(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(elem!0)) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.39/1.57 inference(monotonicity,[status(thm)],[368])).
% 1.39/1.57 tff(370,plain,
% 1.39/1.57 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(elem!0)) | ssPv2(skf1(elem!0)) | ssPv2(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(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(elem!0)) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.39/1.57 inference(transitivity,[status(thm)],[369, 367])).
% 1.39/1.57 tff(371,plain,
% 1.39/1.57 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(elem!0)) | ssPv2(skf1(elem!0)) | ssPv2(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(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.39/1.57 inference(quant_inst,[status(thm)],[])).
% 1.39/1.57 tff(372,plain,
% 1.39/1.57 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(elem!0)) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.39/1.57 inference(modus_ponens,[status(thm)],[371, 370])).
% 1.39/1.57 tff(373,plain,
% 1.39/1.57 (ssPv3(skf1(elem!0)) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.39/1.57 inference(unit_resolution,[status(thm)],[372, 215, 17, 15])).
% 1.39/1.57 tff(374,plain,
% 1.39/1.57 ($false),
% 1.39/1.57 inference(unit_resolution,[status(thm)],[373, 35, 4, 132, 366])).
% 1.39/1.57 tff(375,plain,(ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.39/1.57 tff(376,plain,
% 1.39/1.57 (ssPv3(skf1(elem!0))),
% 1.39/1.57 inference(unit_resolution,[status(thm)],[375, 4, 6, 3])).
% 1.39/1.57 tff(377,plain,
% 1.39/1.57 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) <=> (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))),
% 1.39/1.57 inference(bind,[status(th)],[])).
% 1.39/1.57 tff(378,plain,
% 1.39/1.57 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.39/1.57 inference(quant_intro,[status(thm)],[377])).
% 1.39/1.57 tff(379,plain,
% 1.39/1.57 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.39/1.57 inference(rewrite,[status(thm)],[])).
% 1.39/1.57 tff(380,plain,
% 1.39/1.57 (^[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(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(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> (((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))) <=> ((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> ((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) <=> (((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(W))))), rewrite((((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(W))) <=> ((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) <=> ((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv3(V)) <=> (((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv3(V)))), rewrite((((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv3(V)) | ssPv2(Y)) <=> ((ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv2(Y)))), rewrite(((ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv2(Y)) <=> (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv3(V)) | ssPv2(Y)) <=> (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))))),
% 1.39/1.57 inference(bind,[status(th)],[])).
% 1.39/1.57 tff(381,plain,
% 1.39/1.57 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv3(V)) | ssPv2(Y)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.39/1.57 inference(quant_intro,[status(thm)],[380])).
% 1.39/1.57 tff(382,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv3(V)) | ssPv2(Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause22')).
% 1.39/1.57 tff(383,plain,
% 1.39/1.57 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.39/1.57 inference(modus_ponens,[status(thm)],[382, 381])).
% 1.39/1.57 tff(384,plain,
% 1.39/1.57 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.39/1.57 inference(modus_ponens,[status(thm)],[383, 379])).
% 1.39/1.57 tff(385,plain,(
% 1.39/1.57 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.39/1.57 inference(skolemize,[status(sab)],[384])).
% 1.39/1.57 tff(386,plain,
% 1.39/1.57 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.39/1.57 inference(modus_ponens,[status(thm)],[385, 378])).
% 1.39/1.57 tff(387,plain,
% 1.39/1.57 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(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)))) | ssPv2(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(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)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.39/1.58 inference(rewrite,[status(thm)],[])).
% 1.39/1.58 tff(388,plain,
% 1.39/1.58 ((ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(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)))) | (~ssPv4(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)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.39/1.58 inference(rewrite,[status(thm)],[])).
% 1.39/1.58 tff(389,plain,
% 1.39/1.58 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(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)))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(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)))) | ssPv2(skf1(skf1(elem!0)))))),
% 1.39/1.58 inference(monotonicity,[status(thm)],[388])).
% 1.39/1.58 tff(390,plain,
% 1.39/1.58 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(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)))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(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)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.39/1.58 inference(transitivity,[status(thm)],[389, 387])).
% 1.39/1.58 tff(391,plain,
% 1.39/1.58 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(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)))) | (~ssPv4(elem!0)))),
% 1.39/1.58 inference(quant_inst,[status(thm)],[])).
% 1.39/1.58 tff(392,plain,
% 1.39/1.58 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(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)))) | ssPv2(skf1(skf1(elem!0)))),
% 1.39/1.58 inference(modus_ponens,[status(thm)],[391, 390])).
% 1.39/1.58 tff(393,plain,
% 1.39/1.58 ((~ssPv1(elem!0)) | (~ssPv4(elem!0)) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0)))),
% 1.39/1.58 inference(unit_resolution,[status(thm)],[392, 386, 38, 17])).
% 1.39/1.58 tff(394,plain,
% 1.39/1.58 (~ssPv1(elem!0)),
% 1.39/1.58 inference(unit_resolution,[status(thm)],[393, 4, 358, 3])).
% 1.39/1.58 tff(395,plain,
% 1.39/1.58 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W))))),
% 1.39/1.58 inference(bind,[status(th)],[])).
% 1.39/1.58 tff(396,plain,
% 1.39/1.58 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))),
% 1.39/1.58 inference(quant_intro,[status(thm)],[395])).
% 1.39/1.58 tff(397,plain,
% 1.39/1.58 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))),
% 1.39/1.58 inference(rewrite,[status(thm)],[])).
% 1.39/1.58 tff(398,plain,
% 1.39/1.58 (^[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(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv4(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))) | (~ssPv4(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))) | (~ssPv4(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | (~ssPv4(W)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv4(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | (~ssPv4(W))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv4(W))) | ssPv4(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | (~ssPv4(W))) | ssPv4(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | (~ssPv4(W))) | ssPv4(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv4(V) | (~ssPv4(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv4(W))) | ssPv4(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv4(V) | (~ssPv4(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv4(W))) | ssPv4(V)) | ssPv1(W)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv4(V) | (~ssPv4(W))) | ssPv1(W)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv4(V) | (~ssPv4(W))) | ssPv1(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv4(W))) | ssPv4(V)) | ssPv1(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))))),
% 1.39/1.58 inference(bind,[status(th)],[])).
% 1.39/1.58 tff(399,plain,
% 1.39/1.58 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv4(W))) | ssPv4(V)) | ssPv1(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))),
% 1.39/1.58 inference(quant_intro,[status(thm)],[398])).
% 1.39/1.58 tff(400,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv4(W))) | ssPv4(V)) | ssPv1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause8')).
% 1.39/1.58 tff(401,plain,
% 1.39/1.58 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))),
% 1.39/1.58 inference(modus_ponens,[status(thm)],[400, 399])).
% 1.39/1.58 tff(402,plain,
% 1.39/1.58 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))),
% 1.39/1.58 inference(modus_ponens,[status(thm)],[401, 397])).
% 1.39/1.58 tff(403,plain,(
% 1.39/1.58 ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))),
% 1.39/1.58 inference(skolemize,[status(sab)],[402])).
% 1.39/1.58 tff(404,plain,
% 1.39/1.58 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))),
% 1.39/1.58 inference(modus_ponens,[status(thm)],[403, 396])).
% 1.39/1.58 tff(405,plain,
% 1.39/1.58 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~ssPv4(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))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | (~ssPv4(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))))),
% 1.39/1.58 inference(rewrite,[status(thm)],[])).
% 1.39/1.58 tff(406,plain,
% 1.39/1.58 (((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssPv4(elem!0))) <=> ((~ssPv4(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))))),
% 1.39/1.58 inference(rewrite,[status(thm)],[])).
% 1.39/1.58 tff(407,plain,
% 1.39/1.58 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~ssPv4(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)))))),
% 1.39/1.58 inference(monotonicity,[status(thm)],[406])).
% 1.39/1.58 tff(408,plain,
% 1.39/1.58 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | (~ssPv4(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))))),
% 1.39/1.58 inference(transitivity,[status(thm)],[407, 405])).
% 1.39/1.58 tff(409,plain,
% 1.39/1.58 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssPv4(elem!0)))),
% 1.39/1.58 inference(quant_inst,[status(thm)],[])).
% 1.39/1.58 tff(410,plain,
% 1.39/1.58 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | (~ssPv4(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)))),
% 1.39/1.58 inference(modus_ponens,[status(thm)],[409, 408])).
% 1.39/1.58 tff(411,plain,
% 1.39/1.58 ((~ssPv4(elem!0)) | ssPv1(elem!0) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0)))),
% 1.39/1.58 inference(unit_resolution,[status(thm)],[410, 404, 38, 17])).
% 1.39/1.58 tff(412,plain,
% 1.39/1.58 (ssPv4(skf1(skf1(elem!0)))),
% 1.39/1.58 inference(unit_resolution,[status(thm)],[411, 394, 358, 376])).
% 1.39/1.58 tff(413,plain,
% 1.39/1.58 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) <=> (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)))),
% 1.39/1.58 inference(bind,[status(th)],[])).
% 1.39/1.58 tff(414,plain,
% 1.39/1.58 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(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] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.39/1.58 inference(quant_intro,[status(thm)],[413])).
% 1.39/1.58 tff(415,plain,
% 1.39/1.58 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(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] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.39/1.58 inference(rewrite,[status(thm)],[])).
% 1.39/1.58 tff(416,plain,
% 1.39/1.58 (^[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)) | (~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))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~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))) | (~ssRr(W, X))) <=> ((~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))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~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))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~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))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(Z))) <=> (((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(Z))) <=> ((~ssPv4(Z)) | (~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))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(Z))) <=> ((~ssPv4(Z)) | (~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))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(Z))) | ssPv3(Y)) <=> (((~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(Y)))), rewrite((((~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv4(Z)) | (~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))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(Z))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv4(Z)) | (~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))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(Z))) | ssPv3(Y)) | ssPv1(W)) <=> ((ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)))), rewrite(((ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)) <=> (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))), ((((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(Z))) | ssPv3(Y)) | ssPv1(W)) <=> (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))))),
% 1.39/1.58 inference(bind,[status(th)],[])).
% 1.39/1.58 tff(417,plain,
% 1.39/1.58 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(Z))) | ssPv3(Y)) | ssPv1(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.39/1.58 inference(quant_intro,[status(thm)],[416])).
% 1.39/1.58 tff(418,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(Z))) | ssPv3(Y)) | ssPv1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause43')).
% 1.39/1.58 tff(419,plain,
% 1.39/1.58 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.39/1.58 inference(modus_ponens,[status(thm)],[418, 417])).
% 1.39/1.58 tff(420,plain,
% 1.39/1.58 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.39/1.58 inference(modus_ponens,[status(thm)],[419, 415])).
% 1.39/1.58 tff(421,plain,(
% 1.39/1.58 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.39/1.58 inference(skolemize,[status(sab)],[420])).
% 1.39/1.58 tff(422,plain,
% 1.39/1.58 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.39/1.58 inference(modus_ponens,[status(thm)],[421, 414])).
% 1.39/1.58 tff(423,plain,
% 1.39/1.58 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, 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)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, 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)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))),
% 1.39/1.58 inference(rewrite,[status(thm)],[])).
% 1.39/1.58 tff(424,plain,
% 1.39/1.58 ((ssPv3(skf1(skf1(elem!0))) | (~ssPv4(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)))) | 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)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))),
% 1.39/1.58 inference(rewrite,[status(thm)],[])).
% 1.39/1.58 tff(425,plain,
% 1.39/1.58 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(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)))) | ssPv1(elem!0))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, 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)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0)))))),
% 1.39/1.58 inference(monotonicity,[status(thm)],[424])).
% 1.39/1.58 tff(426,plain,
% 1.39/1.58 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(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)))) | ssPv1(elem!0))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, 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)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))),
% 1.39/1.58 inference(transitivity,[status(thm)],[425, 423])).
% 1.39/1.58 tff(427,plain,
% 1.39/1.58 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(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)))) | ssPv1(elem!0))),
% 1.39/1.58 inference(quant_inst,[status(thm)],[])).
% 1.39/1.58 tff(428,plain,
% 1.39/1.58 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, 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)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0)))),
% 1.39/1.58 inference(modus_ponens,[status(thm)],[427, 426])).
% 1.39/1.58 tff(429,plain,
% 1.39/1.58 (ssPv1(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0)))),
% 1.39/1.58 inference(unit_resolution,[status(thm)],[428, 422, 38, 17])).
% 1.39/1.58 tff(430,plain,
% 1.39/1.58 (~ssPv4(skf1(elem!0))),
% 1.39/1.58 inference(unit_resolution,[status(thm)],[429, 394, 412, 3])).
% 1.39/1.58 tff(431,plain,
% 1.39/1.58 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | (ssPv4(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(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))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(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))))))),
% 1.39/1.58 inference(rewrite,[status(thm)],[])).
% 1.39/1.58 tff(432,plain,
% 1.39/1.58 (((~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)) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))) <=> (ssPv4(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(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))))))),
% 1.39/1.58 inference(rewrite,[status(thm)],[])).
% 1.39/1.58 tff(433,plain,
% 1.39/1.58 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(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))))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | ssPv3(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)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | (ssPv4(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(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)))))))),
% 1.39/1.58 inference(monotonicity,[status(thm)],[432])).
% 1.39/1.58 tff(434,plain,
% 1.39/1.58 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(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))))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | ssPv3(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)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(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))))))),
% 1.39/1.58 inference(transitivity,[status(thm)],[433, 431])).
% 1.39/1.58 tff(435,plain,
% 1.39/1.58 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(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))))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.39/1.58 inference(quant_inst,[status(thm)],[])).
% 1.39/1.58 tff(436,plain,
% 1.39/1.58 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(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)))))),
% 1.39/1.58 inference(modus_ponens,[status(thm)],[435, 434])).
% 1.39/1.58 tff(437,plain,
% 1.39/1.58 (ssPv4(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.39/1.58 inference(unit_resolution,[status(thm)],[436, 142, 17, 15])).
% 1.39/1.58 tff(438,plain,
% 1.39/1.58 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.39/1.58 inference(unit_resolution,[status(thm)],[437, 376, 3, 430])).
% 1.39/1.58 tff(439,plain,
% 1.39/1.58 (~ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.39/1.58 inference(unit_resolution,[status(thm)],[347, 438, 6, 35])).
% 1.39/1.58 tff(440,plain,
% 1.39/1.58 (^[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)) | ssPv4(W) | (~ssPv3(W))) <=> (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W))))),
% 1.39/1.58 inference(bind,[status(th)],[])).
% 1.39/1.58 tff(441,plain,
% 1.39/1.58 (![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)) | ssPv4(W) | (~ssPv3(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)) | ssPv4(W) | (~ssPv3(W)))),
% 1.39/1.58 inference(quant_intro,[status(thm)],[440])).
% 1.39/1.58 tff(442,plain,
% 1.39/1.58 (![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)) | ssPv4(W) | (~ssPv3(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)) | ssPv4(W) | (~ssPv3(W)))),
% 1.39/1.58 inference(rewrite,[status(thm)],[])).
% 1.39/1.58 tff(443,plain,
% 1.39/1.58 (^[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(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(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv3(W))) <=> (((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv4(V)) <=> (((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv4(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv4(V)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv4(V)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv4(V)) | ssPv1(Y)) <=> ((ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv1(Y)))), rewrite(((ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv1(Y)) <=> (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv4(V)) | ssPv1(Y)) <=> (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv4(V)) | ssPv1(Y)) | ssPv4(W)) <=> ((ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv4(W)))), rewrite(((ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv4(W)) <=> (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv4(V)) | ssPv1(Y)) | ssPv4(W)) <=> (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))))),
% 1.39/1.58 inference(bind,[status(th)],[])).
% 1.39/1.58 tff(444,plain,
% 1.39/1.58 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv4(V)) | ssPv1(Y)) | ssPv4(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)) | ssPv4(W) | (~ssPv3(W)))),
% 1.39/1.58 inference(quant_intro,[status(thm)],[443])).
% 1.39/1.58 tff(445,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv4(V)) | ssPv1(Y)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause12')).
% 1.39/1.58 tff(446,plain,
% 1.39/1.58 (![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)) | ssPv4(W) | (~ssPv3(W)))),
% 1.39/1.58 inference(modus_ponens,[status(thm)],[445, 444])).
% 1.39/1.58 tff(447,plain,
% 1.39/1.58 (![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)) | ssPv4(W) | (~ssPv3(W)))),
% 1.39/1.58 inference(modus_ponens,[status(thm)],[446, 442])).
% 1.39/1.58 tff(448,plain,(
% 1.39/1.58 ![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)) | ssPv4(W) | (~ssPv3(W)))),
% 1.39/1.58 inference(skolemize,[status(sab)],[447])).
% 1.39/1.58 tff(449,plain,
% 1.39/1.58 (![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)) | ssPv4(W) | (~ssPv3(W)))),
% 1.39/1.58 inference(modus_ponens,[status(thm)],[448, 441])).
% 1.39/1.58 tff(450,plain,
% 1.39/1.58 (((~![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)) | ssPv4(W) | (~ssPv3(W)))) | (ssPv4(skf1(elem!0)) | (~ssPv3(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)))) | 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)) | ssPv4(W) | (~ssPv3(W)))) | ssPv4(skf1(elem!0)) | (~ssPv3(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)))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.39/1.58 inference(rewrite,[status(thm)],[])).
% 1.39/1.58 tff(451,plain,
% 1.39/1.58 ((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))))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(elem!0)))) <=> (ssPv4(skf1(elem!0)) | (~ssPv3(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)))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.39/1.58 inference(rewrite,[status(thm)],[])).
% 1.39/1.58 tff(452,plain,
% 1.39/1.58 (((~![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)) | ssPv4(W) | (~ssPv3(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))))) | ssPv4(skf1(elem!0)) | (~ssPv3(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)) | ssPv4(W) | (~ssPv3(W)))) | (ssPv4(skf1(elem!0)) | (~ssPv3(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)))) | ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.39/1.58 inference(monotonicity,[status(thm)],[451])).
% 1.39/1.58 tff(453,plain,
% 1.39/1.58 (((~![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)) | ssPv4(W) | (~ssPv3(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))))) | ssPv4(skf1(elem!0)) | (~ssPv3(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)) | ssPv4(W) | (~ssPv3(W)))) | ssPv4(skf1(elem!0)) | (~ssPv3(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)))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.39/1.59 inference(transitivity,[status(thm)],[452, 450])).
% 1.39/1.59 tff(454,plain,
% 1.39/1.59 ((~![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)) | ssPv4(W) | (~ssPv3(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))))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(elem!0))))),
% 1.39/1.59 inference(quant_inst,[status(thm)],[])).
% 1.39/1.59 tff(455,plain,
% 1.39/1.59 ((~![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)) | ssPv4(W) | (~ssPv3(W)))) | ssPv4(skf1(elem!0)) | (~ssPv3(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)))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.39/1.59 inference(modus_ponens,[status(thm)],[454, 453])).
% 1.39/1.59 tff(456,plain,
% 1.39/1.59 (ssPv4(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.39/1.59 inference(unit_resolution,[status(thm)],[455, 449, 17, 15])).
% 1.39/1.59 tff(457,plain,
% 1.39/1.59 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.39/1.59 inference(unit_resolution,[status(thm)],[456, 430, 35, 376])).
% 1.39/1.59 tff(458,plain,
% 1.39/1.59 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))),
% 1.39/1.59 inference(quant_inst,[status(thm)],[])).
% 1.39/1.59 tff(459,plain,
% 1.39/1.59 (ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))),
% 1.39/1.59 inference(unit_resolution,[status(thm)],[458, 13])).
% 1.39/1.59 tff(460,plain,
% 1.39/1.59 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y))) <=> ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y))))),
% 1.39/1.59 inference(bind,[status(th)],[])).
% 1.39/1.59 tff(461,plain,
% 1.39/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.39/1.59 inference(quant_intro,[status(thm)],[460])).
% 1.39/1.59 tff(462,plain,
% 1.39/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.39/1.59 inference(rewrite,[status(thm)],[])).
% 1.39/1.59 tff(463,plain,
% 1.39/1.59 (^[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))) | (~ssPv4(X))) <=> (((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(X))))), rewrite((((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(X))) <=> ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) <=> ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) <=> (((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))))), rewrite((((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))) <=> ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) <=> ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) <=> (((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv3(Y))))), rewrite((((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv3(Y))) <=> ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) <=> ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))))), (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | ssPv2(W)) <=> (((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))) | ssPv2(W)))), rewrite((((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))) | ssPv2(W)) <=> ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))), (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | ssPv2(W)) <=> ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))))),
% 1.39/1.59 inference(bind,[status(th)],[])).
% 1.39/1.59 tff(464,plain,
% 1.39/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | ssPv2(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.39/1.59 inference(quant_intro,[status(thm)],[463])).
% 1.39/1.59 tff(465,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | ssPv2(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause26')).
% 1.39/1.59 tff(466,plain,
% 1.39/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.39/1.59 inference(modus_ponens,[status(thm)],[465, 464])).
% 1.39/1.59 tff(467,plain,
% 1.39/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.39/1.59 inference(modus_ponens,[status(thm)],[466, 462])).
% 1.39/1.59 tff(468,plain,(
% 1.39/1.59 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.39/1.59 inference(skolemize,[status(sab)],[467])).
% 1.39/1.59 tff(469,plain,
% 1.39/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.39/1.59 inference(modus_ponens,[status(thm)],[468, 461])).
% 1.39/1.59 tff(470,plain,
% 1.39/1.59 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(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(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.39/1.59 inference(rewrite,[status(thm)],[])).
% 1.39/1.59 tff(471,plain,
% 1.39/1.59 (((~ssPv1(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))))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(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))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.39/1.59 inference(rewrite,[status(thm)],[])).
% 1.39/1.59 tff(472,plain,
% 1.39/1.59 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(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))))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.39/1.59 inference(monotonicity,[status(thm)],[471])).
% 1.39/1.59 tff(473,plain,
% 1.39/1.59 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(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))))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.39/1.59 inference(transitivity,[status(thm)],[472, 470])).
% 1.39/1.59 tff(474,plain,
% 1.39/1.59 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(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))))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.39/1.59 inference(quant_inst,[status(thm)],[])).
% 1.39/1.59 tff(475,plain,
% 1.39/1.59 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.39/1.59 inference(modus_ponens,[status(thm)],[474, 473])).
% 1.39/1.59 tff(476,plain,
% 1.39/1.59 (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.39/1.59 inference(unit_resolution,[status(thm)],[475, 469, 15, 459])).
% 1.39/1.59 tff(477,plain,
% 1.39/1.59 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.39/1.59 inference(unit_resolution,[status(thm)],[476, 457, 4, 438])).
% 1.39/1.59 tff(478,plain,
% 1.39/1.59 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(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(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.39/1.59 inference(rewrite,[status(thm)],[])).
% 1.39/1.59 tff(479,plain,
% 1.39/1.59 ((ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv2(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(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))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.39/1.59 inference(rewrite,[status(thm)],[])).
% 1.39/1.59 tff(480,plain,
% 1.39/1.59 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv2(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(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.39/1.59 inference(monotonicity,[status(thm)],[479])).
% 1.39/1.59 tff(481,plain,
% 1.39/1.59 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv2(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(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.39/1.59 inference(transitivity,[status(thm)],[480, 478])).
% 1.39/1.59 tff(482,plain,
% 1.39/1.59 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv2(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(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.39/1.59 inference(quant_inst,[status(thm)],[])).
% 1.39/1.59 tff(483,plain,
% 1.39/1.59 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.39/1.59 inference(modus_ponens,[status(thm)],[482, 481])).
% 1.39/1.59 tff(484,plain,
% 1.39/1.59 (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.39/1.59 inference(unit_resolution,[status(thm)],[483, 215, 15, 459])).
% 1.39/1.59 tff(485,plain,
% 1.39/1.59 ($false),
% 1.39/1.59 inference(unit_resolution,[status(thm)],[484, 477, 439, 3, 4])).
% 1.39/1.59 tff(486,plain,(ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.39/1.59 tff(487,plain,
% 1.39/1.59 (ssPv2(skf1(skf1(elem!0)))),
% 1.39/1.59 inference(unit_resolution,[status(thm)],[486, 6, 3])).
% 1.39/1.59 tff(488,plain,
% 1.39/1.59 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.39/1.59 inference(unit_resolution,[status(thm)],[355, 5, 6, 3])).
% 1.39/1.59 tff(489,plain,
% 1.39/1.59 (ssPv4(skf1(elem!0))),
% 1.39/1.59 inference(unit_resolution,[status(thm)],[289, 5, 487, 3])).
% 1.39/1.59 tff(490,plain,
% 1.39/1.59 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.39/1.59 inference(unit_resolution,[status(thm)],[311, 489, 487, 3])).
% 1.39/1.59 tff(491,plain,
% 1.39/1.59 (~ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.39/1.59 inference(unit_resolution,[status(thm)],[347, 490, 6, 488])).
% 1.39/1.59 tff(492,assumption,(~ssPv1(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.39/1.59 tff(493,assumption,(ssPv2(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.39/1.59 tff(494,assumption,(ssPv3(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.39/1.59 tff(495,plain,
% 1.39/1.59 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) <=> (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))),
% 1.39/1.59 inference(bind,[status(th)],[])).
% 1.39/1.59 tff(496,plain,
% 1.39/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(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)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.39/1.59 inference(quant_intro,[status(thm)],[495])).
% 1.39/1.59 tff(497,plain,
% 1.39/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(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)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.39/1.59 inference(rewrite,[status(thm)],[])).
% 1.39/1.59 tff(498,plain,
% 1.39/1.59 (^[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))) | (~ssPv3(X))) <=> (((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(X))))), rewrite((((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(X))) <=> ((~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) <=> ((~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) <=> (((~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))))), rewrite((((~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))) <=> ((~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) <=> ((~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv1(Y)) <=> (((~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv1(Y)))), rewrite((((~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv1(Y)) | ssPv1(W)) <=> ((ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv1(W)))), rewrite(((ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv1(W)) <=> (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv1(Y)) | ssPv1(W)) <=> (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))))),
% 1.39/1.59 inference(bind,[status(th)],[])).
% 1.39/1.59 tff(499,plain,
% 1.39/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv1(Y)) | ssPv1(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.39/1.59 inference(quant_intro,[status(thm)],[498])).
% 1.39/1.59 tff(500,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv1(Y)) | ssPv1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause20')).
% 1.39/1.59 tff(501,plain,
% 1.39/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.39/1.59 inference(modus_ponens,[status(thm)],[500, 499])).
% 1.39/1.59 tff(502,plain,
% 1.39/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.39/1.59 inference(modus_ponens,[status(thm)],[501, 497])).
% 1.39/1.59 tff(503,plain,(
% 1.39/1.59 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.39/1.59 inference(skolemize,[status(sab)],[502])).
% 1.39/1.59 tff(504,plain,
% 1.39/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.39/1.59 inference(modus_ponens,[status(thm)],[503, 496])).
% 1.39/1.59 tff(505,plain,
% 1.39/1.59 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.39/1.59 inference(rewrite,[status(thm)],[])).
% 1.39/1.59 tff(506,plain,
% 1.39/1.59 ((ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(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))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.39/1.59 inference(rewrite,[status(thm)],[])).
% 1.39/1.59 tff(507,plain,
% 1.39/1.59 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(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)))))) | (~ssPv3(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(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)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.39/1.59 inference(monotonicity,[status(thm)],[506])).
% 1.39/1.59 tff(508,plain,
% 1.39/1.59 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(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)))))) | (~ssPv3(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(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)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.39/1.59 inference(transitivity,[status(thm)],[507, 505])).
% 1.39/1.59 tff(509,plain,
% 1.39/1.59 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(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)))))) | (~ssPv3(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(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.39/1.59 inference(quant_inst,[status(thm)],[])).
% 1.39/1.59 tff(510,plain,
% 1.39/1.59 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.39/1.59 inference(modus_ponens,[status(thm)],[509, 508])).
% 1.39/1.59 tff(511,plain,
% 1.39/1.59 (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.39/1.59 inference(unit_resolution,[status(thm)],[510, 504, 15, 459])).
% 1.39/1.59 tff(512,plain,
% 1.39/1.59 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.39/1.59 inference(unit_resolution,[status(thm)],[511, 488, 492, 494])).
% 1.39/1.59 tff(513,plain,
% 1.39/1.59 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(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)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(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)))))))),
% 1.39/1.59 inference(rewrite,[status(thm)],[])).
% 1.39/1.59 tff(514,plain,
% 1.39/1.59 ((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(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)))))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(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)))))))),
% 1.39/1.59 inference(rewrite,[status(thm)],[])).
% 1.39/1.59 tff(515,plain,
% 1.39/1.59 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (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(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)))))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(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))))))))),
% 1.39/1.59 inference(monotonicity,[status(thm)],[514])).
% 1.39/1.59 tff(516,plain,
% 1.39/1.59 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (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(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)))))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(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)))))))),
% 1.39/1.59 inference(transitivity,[status(thm)],[515, 513])).
% 1.39/1.59 tff(517,plain,
% 1.39/1.59 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (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(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)))))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.39/1.59 inference(quant_inst,[status(thm)],[])).
% 1.39/1.59 tff(518,plain,
% 1.39/1.59 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(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))))))),
% 1.39/1.59 inference(modus_ponens,[status(thm)],[517, 516])).
% 1.39/1.59 tff(519,plain,
% 1.39/1.59 (ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.39/1.59 inference(unit_resolution,[status(thm)],[518, 122, 15, 459])).
% 1.39/1.59 tff(520,plain,
% 1.39/1.59 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.39/1.59 inference(unit_resolution,[status(thm)],[519, 512, 493, 492])).
% 1.39/1.59 tff(521,plain,
% 1.39/1.59 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.39/1.59 inference(quant_inst,[status(thm)],[])).
% 1.39/1.59 tff(522,plain,
% 1.39/1.59 (ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.39/1.59 inference(unit_resolution,[status(thm)],[521, 13])).
% 1.39/1.59 tff(523,plain,
% 1.39/1.59 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(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(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(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(skf1(elem!0)))))))),
% 1.39/1.59 inference(rewrite,[status(thm)],[])).
% 1.39/1.59 tff(524,plain,
% 1.39/1.59 (((~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)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(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(skf1(elem!0)))))))),
% 1.39/1.60 inference(rewrite,[status(thm)],[])).
% 1.39/1.60 tff(525,plain,
% 1.39/1.60 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(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))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv3(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)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(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(skf1(elem!0))))))))),
% 1.39/1.60 inference(monotonicity,[status(thm)],[524])).
% 1.39/1.60 tff(526,plain,
% 1.39/1.60 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(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))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv3(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)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(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(skf1(elem!0)))))))),
% 1.39/1.60 inference(transitivity,[status(thm)],[525, 523])).
% 1.39/1.60 tff(527,plain,
% 1.39/1.60 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(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))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.39/1.60 inference(quant_inst,[status(thm)],[])).
% 1.39/1.60 tff(528,plain,
% 1.39/1.60 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(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(skf1(elem!0))))))),
% 1.39/1.60 inference(modus_ponens,[status(thm)],[527, 526])).
% 1.39/1.60 tff(529,plain,
% 1.39/1.60 ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.39/1.60 inference(unit_resolution,[status(thm)],[528, 142, 459, 522])).
% 1.39/1.60 tff(530,plain,
% 1.39/1.60 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.39/1.60 inference(unit_resolution,[status(thm)],[529, 512, 494, 5])).
% 1.39/1.60 tff(531,plain,
% 1.39/1.60 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(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(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(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(skf1(skf1(elem!0))))))))),
% 1.39/1.60 inference(rewrite,[status(thm)],[])).
% 1.39/1.60 tff(532,plain,
% 1.39/1.60 ((ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(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(skf1(skf1(elem!0))))))))),
% 1.39/1.60 inference(rewrite,[status(thm)],[])).
% 1.39/1.60 tff(533,plain,
% 1.39/1.60 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(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(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) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(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(skf1(skf1(elem!0)))))))))),
% 1.39/1.60 inference(monotonicity,[status(thm)],[532])).
% 1.39/1.60 tff(534,plain,
% 1.39/1.60 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(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(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) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(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(skf1(skf1(elem!0))))))))),
% 1.39/1.60 inference(transitivity,[status(thm)],[533, 531])).
% 1.39/1.60 tff(535,plain,
% 1.39/1.60 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.60 inference(quant_inst,[status(thm)],[])).
% 1.45/1.60 tff(536,plain,
% 1.45/1.60 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(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(skf1(skf1(elem!0)))))))),
% 1.45/1.60 inference(modus_ponens,[status(thm)],[535, 534])).
% 1.45/1.60 tff(537,plain,
% 1.45/1.60 (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.60 inference(unit_resolution,[status(thm)],[536, 27, 459, 522])).
% 1.45/1.60 tff(538,plain,
% 1.45/1.60 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.60 inference(unit_resolution,[status(thm)],[537, 520, 488, 512])).
% 1.45/1.60 tff(539,plain,
% 1.45/1.60 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(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(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(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(elem!0))))))))),
% 1.45/1.60 inference(rewrite,[status(thm)],[])).
% 1.45/1.60 tff(540,plain,
% 1.45/1.60 ((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))))))) | (~ssPv2(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))))))) | ssPv1(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(skf1(elem!0)))), skf1(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(elem!0))))))))),
% 1.45/1.60 inference(rewrite,[status(thm)],[])).
% 1.45/1.60 tff(541,plain,
% 1.45/1.60 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(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(elem!0)))), 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(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))))))) | ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(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(elem!0)))))))))),
% 1.45/1.60 inference(monotonicity,[status(thm)],[540])).
% 1.45/1.60 tff(542,plain,
% 1.45/1.60 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(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(elem!0)))), 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(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))))))) | ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(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(elem!0))))))))),
% 1.45/1.60 inference(transitivity,[status(thm)],[541, 539])).
% 1.45/1.60 tff(543,plain,
% 1.45/1.60 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(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(elem!0)))), 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(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))))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.60 inference(quant_inst,[status(thm)],[])).
% 1.45/1.60 tff(544,plain,
% 1.45/1.60 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(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(elem!0)))))))),
% 1.45/1.60 inference(modus_ponens,[status(thm)],[543, 542])).
% 1.45/1.60 tff(545,plain,
% 1.45/1.60 (ssPv1(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(elem!0)))))))),
% 1.45/1.60 inference(unit_resolution,[status(thm)],[544, 340, 459, 522])).
% 1.45/1.60 tff(546,plain,
% 1.45/1.60 (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.60 inference(unit_resolution,[status(thm)],[545, 538, 488, 530])).
% 1.45/1.60 tff(547,assumption,(~ssPv2(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.45/1.60 tff(548,plain,
% 1.45/1.60 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)) <=> (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)))),
% 1.45/1.60 inference(bind,[status(th)],[])).
% 1.45/1.60 tff(549,plain,
% 1.45/1.60 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~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] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.45/1.60 inference(quant_intro,[status(thm)],[548])).
% 1.45/1.60 tff(550,plain,
% 1.45/1.60 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~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] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.45/1.60 inference(rewrite,[status(thm)],[])).
% 1.45/1.60 tff(551,plain,
% 1.45/1.60 (^[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))) | ssPv4(Y)) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Y)))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Y)) <=> (ssPv4(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))) | ssPv4(Y)) <=> (ssPv4(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))) | ssPv4(Y)) | ssPv2(Z)) <=> ((ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Z)))), rewrite(((ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Z)) <=> (ssPv2(Z) | ssPv4(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))) | ssPv4(Y)) | ssPv2(Z)) <=> (ssPv2(Z) | ssPv4(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))) | ssPv4(Y)) | ssPv2(Z)) | ssPv2(W)) <=> ((ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)))), rewrite(((ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)) <=> (ssPv2(Z) | ssPv4(Y) | (~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))) | ssPv4(Y)) | ssPv2(Z)) | ssPv2(W)) <=> (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))))),
% 1.45/1.60 inference(bind,[status(th)],[])).
% 1.45/1.60 tff(552,plain,
% 1.45/1.60 (![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))) | ssPv4(Y)) | ssPv2(Z)) | ssPv2(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.45/1.60 inference(quant_intro,[status(thm)],[551])).
% 1.45/1.60 tff(553,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))) | ssPv4(Y)) | ssPv2(Z)) | ssPv2(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause32')).
% 1.45/1.60 tff(554,plain,
% 1.45/1.60 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.45/1.60 inference(modus_ponens,[status(thm)],[553, 552])).
% 1.45/1.60 tff(555,plain,
% 1.45/1.60 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.45/1.60 inference(modus_ponens,[status(thm)],[554, 550])).
% 1.45/1.60 tff(556,plain,(
% 1.45/1.60 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.45/1.60 inference(skolemize,[status(sab)],[555])).
% 1.45/1.60 tff(557,plain,
% 1.45/1.60 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.45/1.60 inference(modus_ponens,[status(thm)],[556, 549])).
% 1.45/1.60 tff(558,plain,
% 1.45/1.60 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(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] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.60 inference(rewrite,[status(thm)],[])).
% 1.45/1.60 tff(559,plain,
% 1.45/1.60 ((ssPv2(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))))))) | (~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))))))) | ssPv2(skf1(skf1(skf1(elem!0))))) <=> (ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.60 inference(rewrite,[status(thm)],[])).
% 1.45/1.60 tff(560,plain,
% 1.45/1.60 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(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))))))) | (~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))))))) | ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.60 inference(monotonicity,[status(thm)],[559])).
% 1.45/1.60 tff(561,plain,
% 1.45/1.60 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(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))))))) | (~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))))))) | ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.60 inference(transitivity,[status(thm)],[560, 558])).
% 1.45/1.60 tff(562,plain,
% 1.45/1.60 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(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))))))) | (~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))))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.60 inference(quant_inst,[status(thm)],[])).
% 1.45/1.60 tff(563,plain,
% 1.45/1.60 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.60 inference(modus_ponens,[status(thm)],[562, 561])).
% 1.45/1.60 tff(564,plain,
% 1.45/1.60 (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.60 inference(unit_resolution,[status(thm)],[563, 557, 459, 522])).
% 1.45/1.60 tff(565,plain,
% 1.45/1.60 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.60 inference(unit_resolution,[status(thm)],[564, 530, 547, 520])).
% 1.45/1.60 tff(566,plain,
% 1.45/1.60 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.60 inference(quant_inst,[status(thm)],[])).
% 1.45/1.60 tff(567,plain,
% 1.45/1.60 (ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.60 inference(unit_resolution,[status(thm)],[566, 13])).
% 1.45/1.60 tff(568,plain,
% 1.45/1.60 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(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(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.60 inference(rewrite,[status(thm)],[])).
% 1.45/1.60 tff(569,plain,
% 1.45/1.60 (((~ssPv1(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))))))) | ssPv2(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)))))))) | 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))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.60 inference(rewrite,[status(thm)],[])).
% 1.45/1.60 tff(570,plain,
% 1.45/1.60 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(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))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.61 inference(monotonicity,[status(thm)],[569])).
% 1.45/1.61 tff(571,plain,
% 1.45/1.61 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(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))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.61 inference(transitivity,[status(thm)],[570, 568])).
% 1.45/1.61 tff(572,plain,
% 1.45/1.61 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(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))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.61 inference(quant_inst,[status(thm)],[])).
% 1.45/1.61 tff(573,plain,
% 1.45/1.61 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.61 inference(modus_ponens,[status(thm)],[572, 571])).
% 1.45/1.61 tff(574,plain,
% 1.45/1.61 (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.61 inference(unit_resolution,[status(thm)],[573, 469, 522, 567])).
% 1.45/1.61 tff(575,plain,
% 1.45/1.61 (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.61 inference(unit_resolution,[status(thm)],[574, 565, 520, 530])).
% 1.45/1.61 tff(576,plain,
% 1.45/1.61 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~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(elem!0))))) | ssPv3(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)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~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(elem!0))))) | ssPv3(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)))))))),
% 1.45/1.61 inference(rewrite,[status(thm)],[])).
% 1.45/1.61 tff(577,plain,
% 1.45/1.61 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(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(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)))))))) | ssPv1(skf1(skf1(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))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.61 inference(rewrite,[status(thm)],[])).
% 1.45/1.61 tff(578,plain,
% 1.45/1.61 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(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(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~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(elem!0))))) | ssPv3(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))))))))),
% 1.45/1.61 inference(monotonicity,[status(thm)],[577])).
% 1.45/1.61 tff(579,plain,
% 1.45/1.61 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(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(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~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(elem!0))))) | ssPv3(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)))))))),
% 1.45/1.61 inference(transitivity,[status(thm)],[578, 576])).
% 1.45/1.61 tff(580,plain,
% 1.45/1.61 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(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(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.61 inference(quant_inst,[status(thm)],[])).
% 1.45/1.61 tff(581,plain,
% 1.45/1.61 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.61 inference(modus_ponens,[status(thm)],[580, 579])).
% 1.45/1.61 tff(582,plain,
% 1.45/1.61 (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.61 inference(unit_resolution,[status(thm)],[581, 215, 522, 567])).
% 1.45/1.61 tff(583,plain,
% 1.45/1.61 ($false),
% 1.45/1.61 inference(unit_resolution,[status(thm)],[582, 575, 546, 512, 520])).
% 1.45/1.61 tff(584,plain,(ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.45/1.61 tff(585,plain,
% 1.45/1.61 (ssPv1(skf1(skf1(elem!0)))),
% 1.45/1.61 inference(unit_resolution,[status(thm)],[584, 490, 5, 487, 491, 6, 3])).
% 1.45/1.61 tff(586,assumption,(ssPv1(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.45/1.61 tff(587,assumption,(~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.45/1.61 tff(588,plain,
% 1.45/1.61 (^[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)) | (~ssPv2(W))) <=> (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))))),
% 1.45/1.61 inference(bind,[status(th)],[])).
% 1.45/1.61 tff(589,plain,
% 1.45/1.61 (![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)) | (~ssPv2(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)) | (~ssPv2(W)))),
% 1.45/1.61 inference(quant_intro,[status(thm)],[588])).
% 1.45/1.61 tff(590,plain,
% 1.45/1.61 (![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)) | (~ssPv2(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)) | (~ssPv2(W)))),
% 1.45/1.61 inference(rewrite,[status(thm)],[])).
% 1.45/1.61 tff(591,plain,
% 1.45/1.61 (^[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))) | (~ssPv3(Z))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(Z))) <=> ((~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))) | (~ssPv3(Z))) <=> ((~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))) | (~ssPv3(Z))) | (~ssPv2(W))) <=> (((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(W))))), rewrite((((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(W))) <=> ((~ssPv3(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))) | (~ssPv3(Z))) | (~ssPv2(W))) <=> ((~ssPv3(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))) | (~ssPv3(Z))) | (~ssPv2(W))) | ssPv2(Y)) <=> (((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) | ssPv2(Y)))), rewrite((((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) | ssPv2(Y)) <=> (ssPv2(Y) | (~ssPv3(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))) | (~ssPv3(Z))) | (~ssPv2(W))) | ssPv2(Y)) <=> (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))))),
% 1.45/1.61 inference(bind,[status(th)],[])).
% 1.45/1.61 tff(592,plain,
% 1.45/1.61 (![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))) | (~ssPv3(Z))) | (~ssPv2(W))) | ssPv2(Y)) <=> ![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)) | (~ssPv2(W)))),
% 1.45/1.61 inference(quant_intro,[status(thm)],[591])).
% 1.45/1.61 tff(593,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))) | (~ssPv3(Z))) | (~ssPv2(W))) | ssPv2(Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause45')).
% 1.45/1.61 tff(594,plain,
% 1.45/1.61 (![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)) | (~ssPv2(W)))),
% 1.45/1.61 inference(modus_ponens,[status(thm)],[593, 592])).
% 1.45/1.61 tff(595,plain,
% 1.45/1.61 (![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)) | (~ssPv2(W)))),
% 1.45/1.61 inference(modus_ponens,[status(thm)],[594, 590])).
% 1.45/1.61 tff(596,plain,(
% 1.45/1.61 ![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)) | (~ssPv2(W)))),
% 1.45/1.61 inference(skolemize,[status(sab)],[595])).
% 1.45/1.61 tff(597,plain,
% 1.45/1.61 (![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)) | (~ssPv2(W)))),
% 1.45/1.61 inference(modus_ponens,[status(thm)],[596, 589])).
% 1.45/1.61 tff(598,plain,
% 1.45/1.61 (((~![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)) | (~ssPv2(W)))) | ((~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(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)) | (~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))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.61 inference(rewrite,[status(thm)],[])).
% 1.45/1.61 tff(599,plain,
% 1.45/1.61 ((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)))))) | (~ssPv2(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))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.61 inference(rewrite,[status(thm)],[])).
% 1.45/1.61 tff(600,plain,
% 1.45/1.61 (((~![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)) | (~ssPv2(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)))))) | (~ssPv2(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)) | (~ssPv2(W)))) | ((~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.61 inference(monotonicity,[status(thm)],[599])).
% 1.45/1.61 tff(601,plain,
% 1.45/1.61 (((~![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)) | (~ssPv2(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)))))) | (~ssPv2(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)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.61 inference(transitivity,[status(thm)],[600, 598])).
% 1.45/1.61 tff(602,plain,
% 1.45/1.61 ((~![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)) | (~ssPv2(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)))))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.45/1.61 inference(quant_inst,[status(thm)],[])).
% 1.45/1.61 tff(603,plain,
% 1.45/1.61 ((~![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)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.61 inference(modus_ponens,[status(thm)],[602, 601])).
% 1.45/1.61 tff(604,plain,
% 1.45/1.61 ((~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.61 inference(unit_resolution,[status(thm)],[603, 597, 15, 459])).
% 1.45/1.61 tff(605,plain,
% 1.45/1.61 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.61 inference(unit_resolution,[status(thm)],[604, 587, 493, 494])).
% 1.45/1.61 tff(606,plain,
% 1.45/1.61 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.45/1.61 inference(bind,[status(th)],[])).
% 1.45/1.61 tff(607,plain,
% 1.45/1.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.45/1.61 inference(quant_intro,[status(thm)],[606])).
% 1.45/1.61 tff(608,plain,
% 1.45/1.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.45/1.61 inference(rewrite,[status(thm)],[])).
% 1.45/1.61 tff(609,plain,
% 1.45/1.61 (^[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(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(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> (((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))) <=> ((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> ((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(V)) <=> (((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(V)))), rewrite((((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(V)) <=> (ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(Y)) <=> ((ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Y)))), rewrite(((ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Y)) <=> (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(Y)) <=> (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(Y)) | ssPv3(W)) <=> ((ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)))), rewrite(((ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)) <=> (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(Y)) | ssPv3(W)) <=> (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.45/1.61 inference(bind,[status(th)],[])).
% 1.45/1.61 tff(610,plain,
% 1.45/1.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(Y)) | ssPv3(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.45/1.61 inference(quant_intro,[status(thm)],[609])).
% 1.45/1.61 tff(611,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(Y)) | ssPv3(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause11')).
% 1.45/1.61 tff(612,plain,
% 1.45/1.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.45/1.61 inference(modus_ponens,[status(thm)],[611, 610])).
% 1.45/1.61 tff(613,plain,
% 1.45/1.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.45/1.61 inference(modus_ponens,[status(thm)],[612, 608])).
% 1.45/1.61 tff(614,plain,(
% 1.45/1.61 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.45/1.61 inference(skolemize,[status(sab)],[613])).
% 1.45/1.61 tff(615,plain,
% 1.45/1.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.45/1.61 inference(modus_ponens,[status(thm)],[614, 607])).
% 1.45/1.61 tff(616,plain,
% 1.45/1.61 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(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] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.61 inference(rewrite,[status(thm)],[])).
% 1.45/1.61 tff(617,plain,
% 1.45/1.61 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(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)))))) | (~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))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.61 inference(rewrite,[status(thm)],[])).
% 1.45/1.61 tff(618,plain,
% 1.45/1.61 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(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)))))) | (~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, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.61 inference(monotonicity,[status(thm)],[617])).
% 1.45/1.61 tff(619,plain,
% 1.45/1.61 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(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)))))) | (~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, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.61 inference(transitivity,[status(thm)],[618, 616])).
% 1.45/1.61 tff(620,plain,
% 1.45/1.61 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(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)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.61 inference(quant_inst,[status(thm)],[])).
% 1.45/1.61 tff(621,plain,
% 1.45/1.61 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.61 inference(modus_ponens,[status(thm)],[620, 619])).
% 1.45/1.61 tff(622,plain,
% 1.45/1.61 ((~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.61 inference(unit_resolution,[status(thm)],[621, 615, 15, 459])).
% 1.45/1.61 tff(623,plain,
% 1.45/1.61 ($false),
% 1.45/1.61 inference(unit_resolution,[status(thm)],[622, 605, 587, 3, 586])).
% 1.45/1.61 tff(624,plain,(ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.45/1.61 tff(625,plain,
% 1.45/1.61 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.61 inference(unit_resolution,[status(thm)],[624, 585, 3, 487, 490])).
% 1.45/1.61 tff(626,plain,
% 1.45/1.61 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(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(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] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.61 inference(rewrite,[status(thm)],[])).
% 1.45/1.61 tff(627,plain,
% 1.45/1.61 (((~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))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.61 inference(rewrite,[status(thm)],[])).
% 1.45/1.61 tff(628,plain,
% 1.45/1.61 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(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))))))) | (~ssPv3(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))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.62 inference(monotonicity,[status(thm)],[627])).
% 1.45/1.62 tff(629,plain,
% 1.45/1.62 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(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))))))) | (~ssPv3(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))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.62 inference(transitivity,[status(thm)],[628, 626])).
% 1.45/1.62 tff(630,plain,
% 1.45/1.62 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(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))))))) | (~ssPv3(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))))))))),
% 1.45/1.62 inference(quant_inst,[status(thm)],[])).
% 1.45/1.62 tff(631,plain,
% 1.45/1.62 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.62 inference(modus_ponens,[status(thm)],[630, 629])).
% 1.45/1.62 tff(632,plain,
% 1.45/1.62 ((~ssPv3(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)))))))),
% 1.45/1.62 inference(unit_resolution,[status(thm)],[631, 235, 459, 522])).
% 1.45/1.62 tff(633,plain,
% 1.45/1.62 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.62 inference(unit_resolution,[status(thm)],[632, 625, 490, 488])).
% 1.45/1.62 tff(634,assumption,(~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))), introduced(assumption)).
% 1.45/1.62 tff(635,assumption,(ssPv2(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.45/1.62 tff(636,plain,
% 1.45/1.62 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(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(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(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.62 inference(rewrite,[status(thm)],[])).
% 1.45/1.62 tff(637,plain,
% 1.45/1.62 ((ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), 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))))))) <=> (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.62 inference(rewrite,[status(thm)],[])).
% 1.45/1.62 tff(638,plain,
% 1.45/1.62 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), 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)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.62 inference(monotonicity,[status(thm)],[637])).
% 1.45/1.62 tff(639,plain,
% 1.45/1.62 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), 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)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.62 inference(transitivity,[status(thm)],[638, 636])).
% 1.45/1.62 tff(640,plain,
% 1.45/1.62 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), 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)))))))),
% 1.45/1.62 inference(quant_inst,[status(thm)],[])).
% 1.45/1.62 tff(641,plain,
% 1.45/1.62 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.62 inference(modus_ponens,[status(thm)],[640, 639])).
% 1.45/1.62 tff(642,plain,
% 1.45/1.62 (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.62 inference(unit_resolution,[status(thm)],[641, 197, 459, 522])).
% 1.45/1.62 tff(643,plain,
% 1.45/1.62 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.62 inference(unit_resolution,[status(thm)],[642, 5, 635, 634])).
% 1.45/1.62 tff(644,plain,
% 1.45/1.62 (((~![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)) | ssPv4(W) | (~ssPv3(W)))) | ((~ssPv3(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))))))) | ssPv4(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)) | ssPv4(W) | (~ssPv3(W)))) | (~ssPv3(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))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.62 inference(rewrite,[status(thm)],[])).
% 1.45/1.62 tff(645,plain,
% 1.45/1.62 ((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))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv3(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))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.62 inference(rewrite,[status(thm)],[])).
% 1.45/1.62 tff(646,plain,
% 1.45/1.62 (((~![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)) | ssPv4(W) | (~ssPv3(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))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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)) | ssPv4(W) | (~ssPv3(W)))) | ((~ssPv3(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))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.62 inference(monotonicity,[status(thm)],[645])).
% 1.45/1.62 tff(647,plain,
% 1.45/1.62 (((~![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)) | ssPv4(W) | (~ssPv3(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))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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)) | ssPv4(W) | (~ssPv3(W)))) | (~ssPv3(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))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.62 inference(transitivity,[status(thm)],[646, 644])).
% 1.45/1.62 tff(648,plain,
% 1.45/1.62 ((~![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)) | ssPv4(W) | (~ssPv3(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))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.62 inference(quant_inst,[status(thm)],[])).
% 1.45/1.62 tff(649,plain,
% 1.45/1.62 ((~![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)) | ssPv4(W) | (~ssPv3(W)))) | (~ssPv3(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))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.62 inference(modus_ponens,[status(thm)],[648, 647])).
% 1.45/1.62 tff(650,plain,
% 1.45/1.62 ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.62 inference(unit_resolution,[status(thm)],[649, 449, 459, 522])).
% 1.45/1.62 tff(651,plain,
% 1.45/1.62 (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.62 inference(unit_resolution,[status(thm)],[650, 5, 494, 634])).
% 1.45/1.62 tff(652,plain,
% 1.45/1.62 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X))) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X))))),
% 1.45/1.62 inference(bind,[status(th)],[])).
% 1.45/1.62 tff(653,plain,
% 1.45/1.62 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))),
% 1.45/1.62 inference(quant_intro,[status(thm)],[652])).
% 1.45/1.62 tff(654,plain,
% 1.45/1.62 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))),
% 1.45/1.62 inference(rewrite,[status(thm)],[])).
% 1.45/1.62 tff(655,plain,
% 1.45/1.62 (^[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(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv2(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))) | ssPv2(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))) | ssPv2(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(X)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv2(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(X))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv2(V)) | ssPv2(W)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(X))) | ssPv2(W)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(X))) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(X)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv2(V)) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(X))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv2(V)) | ssPv2(W)) | ssPv4(W)) <=> ((ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(X))) | ssPv4(W)))), rewrite(((ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(X))) | ssPv4(W)) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv2(V)) | ssPv2(W)) | ssPv4(W)) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))))),
% 1.45/1.62 inference(bind,[status(th)],[])).
% 1.45/1.62 tff(656,plain,
% 1.45/1.62 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv2(V)) | ssPv2(W)) | ssPv4(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))),
% 1.45/1.62 inference(quant_intro,[status(thm)],[655])).
% 1.45/1.62 tff(657,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv2(V)) | ssPv2(W)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause5')).
% 1.45/1.62 tff(658,plain,
% 1.45/1.62 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))),
% 1.45/1.62 inference(modus_ponens,[status(thm)],[657, 656])).
% 1.45/1.62 tff(659,plain,
% 1.45/1.62 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))),
% 1.45/1.62 inference(modus_ponens,[status(thm)],[658, 654])).
% 1.45/1.62 tff(660,plain,(
% 1.45/1.62 ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))),
% 1.45/1.62 inference(skolemize,[status(sab)],[659])).
% 1.45/1.62 tff(661,plain,
% 1.45/1.62 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))),
% 1.45/1.62 inference(modus_ponens,[status(thm)],[660, 653])).
% 1.45/1.62 tff(662,plain,
% 1.45/1.62 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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)))))))),
% 1.45/1.62 inference(rewrite,[status(thm)],[])).
% 1.45/1.62 tff(663,plain,
% 1.45/1.62 ((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))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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)))))))),
% 1.45/1.62 inference(rewrite,[status(thm)],[])).
% 1.45/1.62 tff(664,plain,
% 1.45/1.62 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (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))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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))))))))),
% 1.45/1.62 inference(monotonicity,[status(thm)],[663])).
% 1.45/1.62 tff(665,plain,
% 1.45/1.62 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (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))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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)))))))),
% 1.45/1.62 inference(transitivity,[status(thm)],[664, 662])).
% 1.45/1.62 tff(666,plain,
% 1.45/1.62 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (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))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.62 inference(quant_inst,[status(thm)],[])).
% 1.45/1.62 tff(667,plain,
% 1.45/1.62 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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))))))),
% 1.45/1.62 inference(modus_ponens,[status(thm)],[666, 665])).
% 1.45/1.62 tff(668,plain,
% 1.45/1.62 (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.62 inference(unit_resolution,[status(thm)],[667, 661, 459, 522])).
% 1.45/1.62 tff(669,plain,
% 1.45/1.62 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.62 inference(unit_resolution,[status(thm)],[668, 643, 547, 5])).
% 1.45/1.62 tff(670,plain,
% 1.45/1.62 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(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(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.62 inference(rewrite,[status(thm)],[])).
% 1.45/1.62 tff(671,plain,
% 1.45/1.62 ((ssPv4(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))))))) | (~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)))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.62 inference(rewrite,[status(thm)],[])).
% 1.45/1.62 tff(672,plain,
% 1.45/1.62 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(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))))))) | (~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)))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.62 inference(monotonicity,[status(thm)],[671])).
% 1.45/1.62 tff(673,plain,
% 1.45/1.62 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(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))))))) | (~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)))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.62 inference(transitivity,[status(thm)],[672, 670])).
% 1.45/1.62 tff(674,plain,
% 1.45/1.62 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(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))))))) | (~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)))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.62 inference(quant_inst,[status(thm)],[])).
% 1.45/1.62 tff(675,plain,
% 1.45/1.62 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.62 inference(modus_ponens,[status(thm)],[674, 673])).
% 1.45/1.62 tff(676,plain,
% 1.45/1.62 (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.62 inference(unit_resolution,[status(thm)],[675, 255, 459, 522])).
% 1.45/1.62 tff(677,plain,
% 1.45/1.62 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.62 inference(unit_resolution,[status(thm)],[676, 651, 547, 669])).
% 1.45/1.62 tff(678,plain,
% 1.45/1.62 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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(skf1(skf1(elem!0))))))))),
% 1.45/1.63 inference(rewrite,[status(thm)],[])).
% 1.45/1.63 tff(679,plain,
% 1.45/1.63 (((~ssPv1(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)))))) | ssPv2(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)))))) | (~ssPv3(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(skf1(skf1(elem!0))))))))),
% 1.45/1.63 inference(rewrite,[status(thm)],[])).
% 1.45/1.63 tff(680,plain,
% 1.45/1.63 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(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)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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(skf1(skf1(elem!0)))))))))),
% 1.45/1.63 inference(monotonicity,[status(thm)],[679])).
% 1.45/1.63 tff(681,plain,
% 1.45/1.63 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(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)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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(skf1(skf1(elem!0))))))))),
% 1.45/1.63 inference(transitivity,[status(thm)],[680, 678])).
% 1.45/1.63 tff(682,plain,
% 1.45/1.63 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(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)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.63 inference(quant_inst,[status(thm)],[])).
% 1.45/1.63 tff(683,plain,
% 1.45/1.63 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.63 inference(modus_ponens,[status(thm)],[682, 681])).
% 1.45/1.63 tff(684,plain,
% 1.45/1.63 (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.63 inference(unit_resolution,[status(thm)],[683, 469, 459, 522])).
% 1.45/1.63 tff(685,plain,
% 1.45/1.63 ($false),
% 1.45/1.63 inference(unit_resolution,[status(thm)],[684, 677, 651, 547, 643])).
% 1.45/1.63 tff(686,plain,(ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))), inference(lemma,lemma(discharge,[]))).
% 1.45/1.63 tff(687,plain,
% 1.45/1.63 ($false),
% 1.45/1.63 inference(unit_resolution,[status(thm)],[686, 633, 625, 5, 490, 491])).
% 1.45/1.63 tff(688,plain,(ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.45/1.63 tff(689,plain,
% 1.45/1.63 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.45/1.63 inference(unit_resolution,[status(thm)],[688, 6, 3])).
% 1.45/1.63 tff(690,plain,
% 1.45/1.63 (~ssPv3(skf1(elem!0))),
% 1.45/1.63 inference(unit_resolution,[status(thm)],[242, 689, 6, 487])).
% 1.45/1.63 tff(691,plain,
% 1.45/1.63 (~ssPv2(skf1(elem!0))),
% 1.45/1.63 inference(unit_resolution,[status(thm)],[365, 690, 358, 3])).
% 1.45/1.63 tff(692,plain,
% 1.45/1.63 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(elem!0)) | ssPv1(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)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(elem!0)) | ssPv1(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))))))),
% 1.45/1.63 inference(rewrite,[status(thm)],[])).
% 1.45/1.63 tff(693,plain,
% 1.45/1.63 ((ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv1(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))))) | ssPv2(skf1(elem!0))) <=> (ssPv2(skf1(elem!0)) | ssPv1(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))))))),
% 1.45/1.63 inference(rewrite,[status(thm)],[])).
% 1.45/1.63 tff(694,plain,
% 1.45/1.63 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv1(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))))) | ssPv2(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(elem!0)) | ssPv1(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)))))))),
% 1.45/1.63 inference(monotonicity,[status(thm)],[693])).
% 1.45/1.63 tff(695,plain,
% 1.45/1.63 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv1(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))))) | ssPv2(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(elem!0)) | ssPv1(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))))))),
% 1.45/1.63 inference(transitivity,[status(thm)],[694, 692])).
% 1.45/1.63 tff(696,plain,
% 1.45/1.63 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv1(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))))) | ssPv2(skf1(elem!0)))),
% 1.45/1.63 inference(quant_inst,[status(thm)],[])).
% 1.45/1.63 tff(697,plain,
% 1.45/1.63 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(elem!0)) | ssPv1(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)))))),
% 1.45/1.63 inference(modus_ponens,[status(thm)],[696, 695])).
% 1.45/1.63 tff(698,plain,
% 1.45/1.63 (ssPv2(skf1(elem!0)) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.63 inference(unit_resolution,[status(thm)],[697, 161, 17, 15])).
% 1.45/1.63 tff(699,plain,
% 1.45/1.63 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.45/1.63 inference(unit_resolution,[status(thm)],[698, 691, 6, 689])).
% 1.45/1.63 tff(700,plain,
% 1.45/1.63 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.45/1.63 inference(bind,[status(th)],[])).
% 1.45/1.63 tff(701,plain,
% 1.45/1.63 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.45/1.63 inference(quant_intro,[status(thm)],[700])).
% 1.45/1.63 tff(702,plain,
% 1.45/1.63 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.45/1.63 inference(rewrite,[status(thm)],[])).
% 1.45/1.63 tff(703,plain,
% 1.45/1.63 (^[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))) | (~ssPv2(Y))) <=> (((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(Y))))), rewrite((((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(Y))) <=> ((~ssPv3(V)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) <=> ((~ssPv3(V)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) <=> (((~ssPv3(V)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv3(V)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssPv2(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssPv2(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | ssPv1(W)) <=> (((~ssPv3(V)) | (~ssPv2(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)))), rewrite((((~ssPv3(V)) | (~ssPv2(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)) <=> ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | ssPv1(W)) <=> ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | ssPv1(W)) | ssPv3(W)) <=> (((~ssPv3(V)) | (~ssPv2(Y)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)))), rewrite((((~ssPv3(V)) | (~ssPv2(Y)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)) <=> ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | ssPv1(W)) | ssPv3(W)) <=> ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.45/1.63 inference(bind,[status(th)],[])).
% 1.45/1.63 tff(704,plain,
% 1.45/1.63 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | ssPv1(W)) | ssPv3(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.45/1.63 inference(quant_intro,[status(thm)],[703])).
% 1.45/1.63 tff(705,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | ssPv1(W)) | ssPv3(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause24')).
% 1.45/1.63 tff(706,plain,
% 1.45/1.63 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.45/1.63 inference(modus_ponens,[status(thm)],[705, 704])).
% 1.45/1.63 tff(707,plain,
% 1.45/1.63 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.45/1.63 inference(modus_ponens,[status(thm)],[706, 702])).
% 1.45/1.63 tff(708,plain,(
% 1.45/1.63 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.45/1.63 inference(skolemize,[status(sab)],[707])).
% 1.45/1.63 tff(709,plain,
% 1.45/1.63 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.45/1.63 inference(modus_ponens,[status(thm)],[708, 701])).
% 1.45/1.63 tff(710,plain,
% 1.45/1.63 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(elem!0)) | ssPv1(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))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(elem!0)) | ssPv1(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))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.63 inference(rewrite,[status(thm)],[])).
% 1.45/1.63 tff(711,plain,
% 1.45/1.63 (((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)) | ssPv1(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)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.63 inference(rewrite,[status(thm)],[])).
% 1.45/1.63 tff(712,plain,
% 1.45/1.63 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)) | ssPv1(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))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(elem!0)) | ssPv1(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))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.63 inference(monotonicity,[status(thm)],[711])).
% 1.45/1.63 tff(713,plain,
% 1.45/1.63 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)) | ssPv1(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))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(elem!0)) | ssPv1(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))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.63 inference(transitivity,[status(thm)],[712, 710])).
% 1.45/1.63 tff(714,plain,
% 1.45/1.63 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)) | ssPv1(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))))))),
% 1.45/1.63 inference(quant_inst,[status(thm)],[])).
% 1.45/1.63 tff(715,plain,
% 1.45/1.63 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(elem!0)) | ssPv1(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))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.63 inference(modus_ponens,[status(thm)],[714, 713])).
% 1.45/1.63 tff(716,plain,
% 1.45/1.63 (ssPv3(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.63 inference(unit_resolution,[status(thm)],[715, 709, 17, 15])).
% 1.45/1.63 tff(717,plain,
% 1.45/1.63 (~ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.45/1.63 inference(unit_resolution,[status(thm)],[716, 699, 6, 690])).
% 1.45/1.63 tff(718,plain,
% 1.45/1.63 (ssPv2(skf1(skf1(elem!0)))),
% 1.45/1.63 inference(unit_resolution,[status(thm)],[375, 132, 6, 3])).
% 1.45/1.63 tff(719,assumption,(~ssPv2(skf1(elem!0))), introduced(assumption)).
% 1.45/1.63 tff(720,assumption,(~ssPv4(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.45/1.63 tff(721,assumption,(ssPv4(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.45/1.63 tff(722,plain,
% 1.45/1.63 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)) <=> (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)))),
% 1.45/1.63 inference(bind,[status(th)],[])).
% 1.45/1.63 tff(723,plain,
% 1.45/1.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~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] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.45/1.63 inference(quant_intro,[status(thm)],[722])).
% 1.45/1.63 tff(724,plain,
% 1.45/1.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~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] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.45/1.63 inference(rewrite,[status(thm)],[])).
% 1.45/1.63 tff(725,plain,
% 1.45/1.63 (^[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)) | (~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))) | (~ssPv3(Y))) <=> (((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(Y))))), rewrite((((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(Y))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) <=> (((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Z)))), rewrite((((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Z)) <=> (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) <=> (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) | ssPv2(W)) <=> ((ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)))), rewrite(((ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)) <=> (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~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))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) | ssPv2(W)) <=> (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))))),
% 1.45/1.63 inference(bind,[status(th)],[])).
% 1.45/1.63 tff(726,plain,
% 1.45/1.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) | ssPv2(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.45/1.63 inference(quant_intro,[status(thm)],[725])).
% 1.45/1.63 tff(727,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) | ssPv2(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause41')).
% 1.45/1.63 tff(728,plain,
% 1.45/1.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.45/1.63 inference(modus_ponens,[status(thm)],[727, 726])).
% 1.45/1.63 tff(729,plain,
% 1.45/1.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.45/1.63 inference(modus_ponens,[status(thm)],[728, 724])).
% 1.45/1.63 tff(730,plain,(
% 1.45/1.63 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.45/1.63 inference(skolemize,[status(sab)],[729])).
% 1.45/1.63 tff(731,plain,
% 1.45/1.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.45/1.63 inference(modus_ponens,[status(thm)],[730, 723])).
% 1.45/1.63 tff(732,plain,
% 1.45/1.63 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~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)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~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)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.63 inference(rewrite,[status(thm)],[])).
% 1.45/1.63 tff(733,plain,
% 1.45/1.63 ((ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(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)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.63 inference(rewrite,[status(thm)],[])).
% 1.45/1.63 tff(734,plain,
% 1.45/1.63 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(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] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~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)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.63 inference(monotonicity,[status(thm)],[733])).
% 1.45/1.63 tff(735,plain,
% 1.45/1.63 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(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] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~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)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.63 inference(transitivity,[status(thm)],[734, 732])).
% 1.45/1.63 tff(736,plain,
% 1.45/1.63 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(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)))),
% 1.45/1.63 inference(quant_inst,[status(thm)],[])).
% 1.45/1.63 tff(737,plain,
% 1.45/1.63 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.64 inference(modus_ponens,[status(thm)],[736, 735])).
% 1.45/1.64 tff(738,plain,
% 1.45/1.64 (ssPv2(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.64 inference(unit_resolution,[status(thm)],[737, 731, 17, 15])).
% 1.45/1.64 tff(739,plain,
% 1.45/1.64 (~ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.45/1.64 inference(unit_resolution,[status(thm)],[738, 721, 720, 719])).
% 1.45/1.64 tff(740,plain,
% 1.45/1.64 ($false),
% 1.45/1.64 inference(unit_resolution,[status(thm)],[698, 739, 721, 6, 719])).
% 1.45/1.64 tff(741,plain,((~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | ssPv2(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.45/1.64 tff(742,plain,
% 1.45/1.64 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.45/1.64 inference(unit_resolution,[status(thm)],[741, 720, 6, 719])).
% 1.45/1.64 tff(743,plain,
% 1.45/1.64 (ssPv4(skf1(elem!0))),
% 1.45/1.64 inference(unit_resolution,[status(thm)],[289, 742, 718, 3])).
% 1.45/1.64 tff(744,plain,
% 1.45/1.64 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.45/1.64 inference(unit_resolution,[status(thm)],[311, 743, 718, 3])).
% 1.45/1.64 tff(745,plain,
% 1.45/1.64 (~ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.45/1.64 inference(unit_resolution,[status(thm)],[716, 744, 6, 132])).
% 1.45/1.64 tff(746,plain,
% 1.45/1.64 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y))) <=> (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y))))),
% 1.45/1.64 inference(bind,[status(th)],[])).
% 1.45/1.64 tff(747,plain,
% 1.45/1.64 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.45/1.64 inference(quant_intro,[status(thm)],[746])).
% 1.45/1.64 tff(748,plain,
% 1.45/1.64 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.45/1.64 inference(rewrite,[status(thm)],[])).
% 1.45/1.64 tff(749,plain,
% 1.45/1.64 (^[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))) | (~ssPv3(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(X))) <=> ((~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) <=> ((~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) <=> (((~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))))), rewrite((((~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))) <=> ((~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) <=> ((~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv2(V)) <=> (((~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(V)))), rewrite((((~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(V)) <=> (ssPv2(V) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv2(V)) <=> (ssPv2(V) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv2(V)) | ssPv2(Y)) <=> ((ssPv2(V) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(Y)))), rewrite(((ssPv2(V) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(Y)) <=> (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv2(V)) | ssPv2(Y)) <=> (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv2(V)) | ssPv2(Y)) | ssPv4(W)) <=> ((ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv4(W)))), rewrite(((ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv4(W)) <=> (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv2(V)) | ssPv2(Y)) | ssPv4(W)) <=> (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))))),
% 1.45/1.64 inference(bind,[status(th)],[])).
% 1.45/1.64 tff(750,plain,
% 1.45/1.64 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv2(V)) | ssPv2(Y)) | ssPv4(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.45/1.64 inference(quant_intro,[status(thm)],[749])).
% 1.45/1.64 tff(751,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv2(V)) | ssPv2(Y)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause15')).
% 1.45/1.64 tff(752,plain,
% 1.45/1.64 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.45/1.64 inference(modus_ponens,[status(thm)],[751, 750])).
% 1.45/1.64 tff(753,plain,
% 1.45/1.64 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.45/1.64 inference(modus_ponens,[status(thm)],[752, 748])).
% 1.45/1.64 tff(754,plain,(
% 1.45/1.64 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.45/1.64 inference(skolemize,[status(sab)],[753])).
% 1.45/1.64 tff(755,plain,
% 1.45/1.64 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.45/1.64 inference(modus_ponens,[status(thm)],[754, 747])).
% 1.45/1.64 tff(756,plain,
% 1.45/1.64 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(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))))) | ssPv2(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(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv2(skf1(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))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.64 inference(rewrite,[status(thm)],[])).
% 1.45/1.64 tff(757,plain,
% 1.45/1.64 ((ssPv2(skf1(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))))) | (~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))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv2(skf1(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))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.64 inference(rewrite,[status(thm)],[])).
% 1.45/1.64 tff(758,plain,
% 1.45/1.64 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(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))))) | (~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))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(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))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.64 inference(monotonicity,[status(thm)],[757])).
% 1.45/1.64 tff(759,plain,
% 1.45/1.64 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(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))))) | (~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))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv2(skf1(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))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.64 inference(transitivity,[status(thm)],[758, 756])).
% 1.45/1.64 tff(760,plain,
% 1.45/1.64 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(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))))) | (~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))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.45/1.64 inference(quant_inst,[status(thm)],[])).
% 1.45/1.64 tff(761,plain,
% 1.45/1.64 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv2(skf1(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))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.64 inference(modus_ponens,[status(thm)],[760, 759])).
% 1.45/1.64 tff(762,plain,
% 1.45/1.64 (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.64 inference(unit_resolution,[status(thm)],[761, 755, 15, 459])).
% 1.45/1.64 tff(763,plain,
% 1.45/1.64 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.64 inference(unit_resolution,[status(thm)],[762, 745, 720, 744])).
% 1.45/1.64 tff(764,plain,
% 1.45/1.64 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.45/1.64 inference(unit_resolution,[status(thm)],[355, 742, 6, 3])).
% 1.45/1.64 tff(765,plain,
% 1.45/1.64 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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)))))))),
% 1.45/1.64 inference(rewrite,[status(thm)],[])).
% 1.45/1.64 tff(766,plain,
% 1.45/1.64 ((ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(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)))))) | 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(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(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)))) | (~ssPv3(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)))))))),
% 1.45/1.64 inference(rewrite,[status(thm)],[])).
% 1.45/1.64 tff(767,plain,
% 1.45/1.64 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(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)))))) | 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(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(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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))))))))),
% 1.45/1.64 inference(monotonicity,[status(thm)],[766])).
% 1.45/1.64 tff(768,plain,
% 1.45/1.64 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(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)))))) | 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(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(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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)))))))),
% 1.45/1.64 inference(transitivity,[status(thm)],[767, 765])).
% 1.45/1.64 tff(769,plain,
% 1.45/1.64 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(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)))))) | 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(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.64 inference(quant_inst,[status(thm)],[])).
% 1.45/1.64 tff(770,plain,
% 1.45/1.64 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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))))))),
% 1.45/1.64 inference(modus_ponens,[status(thm)],[769, 768])).
% 1.45/1.64 tff(771,plain,
% 1.45/1.64 (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.64 inference(unit_resolution,[status(thm)],[770, 86, 15, 459])).
% 1.45/1.64 tff(772,plain,
% 1.45/1.64 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.64 inference(unit_resolution,[status(thm)],[771, 763, 720, 764])).
% 1.45/1.64 tff(773,plain,
% 1.45/1.64 (ssPv1(skf1(skf1(elem!0)))),
% 1.45/1.64 inference(unit_resolution,[status(thm)],[519, 772, 718, 763])).
% 1.45/1.64 tff(774,plain,
% 1.45/1.64 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(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)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(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)))))))),
% 1.45/1.64 inference(rewrite,[status(thm)],[])).
% 1.45/1.64 tff(775,plain,
% 1.45/1.64 ((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(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)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(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)))))))),
% 1.45/1.64 inference(rewrite,[status(thm)],[])).
% 1.45/1.64 tff(776,plain,
% 1.45/1.64 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (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(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)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(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))))))))),
% 1.45/1.64 inference(monotonicity,[status(thm)],[775])).
% 1.45/1.64 tff(777,plain,
% 1.45/1.64 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (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(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)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(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)))))))),
% 1.45/1.64 inference(transitivity,[status(thm)],[776, 774])).
% 1.45/1.64 tff(778,plain,
% 1.45/1.64 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (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(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)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.64 inference(quant_inst,[status(thm)],[])).
% 1.45/1.64 tff(779,plain,
% 1.45/1.64 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.64 inference(modus_ponens,[status(thm)],[778, 777])).
% 1.45/1.64 tff(780,plain,
% 1.45/1.64 ((~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.64 inference(unit_resolution,[status(thm)],[779, 104, 15, 459])).
% 1.45/1.64 tff(781,plain,
% 1.45/1.64 ($false),
% 1.45/1.64 inference(unit_resolution,[status(thm)],[780, 773, 772, 720, 763])).
% 1.45/1.64 tff(782,plain,(ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.45/1.64 tff(783,plain,
% 1.45/1.64 (ssPv4(skf1(skf1(elem!0)))),
% 1.45/1.64 inference(unit_resolution,[status(thm)],[782, 690, 6, 3, 691])).
% 1.45/1.64 tff(784,assumption,(ssPv4(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.45/1.64 tff(785,plain,
% 1.45/1.64 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | (ssPv1(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))))) | ssPv4(skf1(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] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ssPv1(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))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.64 inference(rewrite,[status(thm)],[])).
% 1.45/1.64 tff(786,plain,
% 1.45/1.64 (((~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))))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0))))) <=> (ssPv1(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))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.64 inference(rewrite,[status(thm)],[])).
% 1.45/1.64 tff(787,plain,
% 1.45/1.64 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~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))))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | (ssPv1(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))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.64 inference(monotonicity,[status(thm)],[786])).
% 1.45/1.64 tff(788,plain,
% 1.45/1.64 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~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))))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ssPv1(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))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.64 inference(transitivity,[status(thm)],[787, 785])).
% 1.45/1.64 tff(789,plain,
% 1.45/1.64 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~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))))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.45/1.64 inference(quant_inst,[status(thm)],[])).
% 1.45/1.64 tff(790,plain,
% 1.45/1.64 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ssPv1(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))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.64 inference(modus_ponens,[status(thm)],[789, 788])).
% 1.45/1.64 tff(791,plain,
% 1.45/1.64 (ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.64 inference(unit_resolution,[status(thm)],[790, 404, 15, 459])).
% 1.45/1.64 tff(792,plain,
% 1.45/1.64 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.64 inference(unit_resolution,[status(thm)],[791, 492, 784, 494])).
% 1.45/1.64 tff(793,plain,
% 1.45/1.64 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.45/1.64 inference(unit_resolution,[status(thm)],[584, 492, 494, 493, 547, 6, 3])).
% 1.45/1.64 tff(794,plain,
% 1.45/1.64 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(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))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(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)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(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))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(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)))))))),
% 1.45/1.64 inference(rewrite,[status(thm)],[])).
% 1.45/1.64 tff(795,plain,
% 1.45/1.64 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(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)))))) | ssPv1(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))))) | ssPv3(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)))))))),
% 1.45/1.64 inference(rewrite,[status(thm)],[])).
% 1.45/1.64 tff(796,plain,
% 1.45/1.64 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(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)))))) | ssPv1(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(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))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(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))))))))),
% 1.45/1.64 inference(monotonicity,[status(thm)],[795])).
% 1.45/1.64 tff(797,plain,
% 1.45/1.64 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(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)))))) | ssPv1(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(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))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(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)))))))),
% 1.45/1.64 inference(transitivity,[status(thm)],[796, 794])).
% 1.45/1.64 tff(798,plain,
% 1.45/1.64 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(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)))))) | ssPv1(skf1(skf1(elem!0))))),
% 1.45/1.65 inference(quant_inst,[status(thm)],[])).
% 1.45/1.65 tff(799,plain,
% 1.45/1.65 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(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))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(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))))))),
% 1.45/1.65 inference(modus_ponens,[status(thm)],[798, 797])).
% 1.45/1.65 tff(800,plain,
% 1.45/1.65 (ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.65 inference(unit_resolution,[status(thm)],[799, 422, 15, 459])).
% 1.45/1.65 tff(801,plain,
% 1.45/1.65 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.65 inference(unit_resolution,[status(thm)],[800, 793, 492, 792])).
% 1.45/1.65 tff(802,plain,
% 1.45/1.65 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))))))),
% 1.45/1.65 inference(rewrite,[status(thm)],[])).
% 1.45/1.65 tff(803,plain,
% 1.45/1.65 (((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(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)))))) | (~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))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))))))),
% 1.45/1.65 inference(rewrite,[status(thm)],[])).
% 1.45/1.65 tff(804,plain,
% 1.45/1.65 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(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)))))) | (~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, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(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))))))))),
% 1.45/1.65 inference(monotonicity,[status(thm)],[803])).
% 1.45/1.65 tff(805,plain,
% 1.45/1.65 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(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)))))) | (~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, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))))))),
% 1.45/1.65 inference(transitivity,[status(thm)],[804, 802])).
% 1.45/1.65 tff(806,plain,
% 1.45/1.65 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(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)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.65 inference(quant_inst,[status(thm)],[])).
% 1.45/1.65 tff(807,plain,
% 1.45/1.65 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.65 inference(modus_ponens,[status(thm)],[806, 805])).
% 1.45/1.65 tff(808,plain,
% 1.45/1.65 (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.65 inference(unit_resolution,[status(thm)],[807, 709, 15, 459])).
% 1.45/1.65 tff(809,plain,
% 1.45/1.65 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.65 inference(unit_resolution,[status(thm)],[808, 801, 3, 492])).
% 1.45/1.65 tff(810,plain,
% 1.45/1.65 ($false),
% 1.45/1.65 inference(unit_resolution,[status(thm)],[604, 809, 801, 493, 494])).
% 1.45/1.65 tff(811,plain,(ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.45/1.65 tff(812,plain,
% 1.45/1.65 (ssPv1(skf1(skf1(elem!0)))),
% 1.45/1.65 inference(unit_resolution,[status(thm)],[811, 717, 487, 3, 783, 6, 699])).
% 1.45/1.65 tff(813,plain,
% 1.45/1.65 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.65 inference(unit_resolution,[status(thm)],[624, 812, 3, 487, 699])).
% 1.45/1.65 tff(814,plain,
% 1.45/1.65 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))) <=> ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))))),
% 1.45/1.65 inference(bind,[status(th)],[])).
% 1.45/1.65 tff(815,plain,
% 1.45/1.65 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))),
% 1.45/1.65 inference(quant_intro,[status(thm)],[814])).
% 1.45/1.65 tff(816,plain,
% 1.45/1.65 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))),
% 1.45/1.65 inference(rewrite,[status(thm)],[])).
% 1.45/1.65 tff(817,plain,
% 1.45/1.65 (^[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))) | (~ssPv4(X))) <=> (((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(X))))), rewrite((((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(X))) <=> ((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) <=> ((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) <=> (((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))))), rewrite((((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))) <=> ((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) <=> ((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) <=> (((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv3(Y))))), rewrite((((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv3(Y))) <=> ((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) <=> ((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | (~ssPv1(W))) <=> (((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))) | (~ssPv1(W))))), rewrite((((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))) | (~ssPv1(W))) <=> ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | (~ssPv1(W))) <=> ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))))),
% 1.45/1.65 inference(bind,[status(th)],[])).
% 1.45/1.65 tff(818,plain,
% 1.45/1.65 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | (~ssPv1(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))),
% 1.45/1.65 inference(quant_intro,[status(thm)],[817])).
% 1.45/1.65 tff(819,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | (~ssPv1(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause29')).
% 1.45/1.65 tff(820,plain,
% 1.45/1.65 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))),
% 1.45/1.65 inference(modus_ponens,[status(thm)],[819, 818])).
% 1.45/1.65 tff(821,plain,
% 1.45/1.65 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))),
% 1.45/1.65 inference(modus_ponens,[status(thm)],[820, 816])).
% 1.45/1.65 tff(822,plain,(
% 1.45/1.65 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))),
% 1.45/1.65 inference(skolemize,[status(sab)],[821])).
% 1.45/1.65 tff(823,plain,
% 1.45/1.65 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))),
% 1.45/1.65 inference(modus_ponens,[status(thm)],[822, 815])).
% 1.45/1.65 tff(824,plain,
% 1.45/1.65 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.65 inference(rewrite,[status(thm)],[])).
% 1.45/1.65 tff(825,plain,
% 1.45/1.65 (((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(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(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(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))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.65 inference(rewrite,[status(thm)],[])).
% 1.45/1.65 tff(826,plain,
% 1.45/1.65 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(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(skf1(elem!0))), skf1(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] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.65 inference(monotonicity,[status(thm)],[825])).
% 1.45/1.65 tff(827,plain,
% 1.45/1.65 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(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(skf1(elem!0))), skf1(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] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.65 inference(transitivity,[status(thm)],[826, 824])).
% 1.45/1.65 tff(828,plain,
% 1.45/1.65 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(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(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.65 inference(quant_inst,[status(thm)],[])).
% 1.45/1.65 tff(829,plain,
% 1.45/1.65 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.65 inference(modus_ponens,[status(thm)],[828, 827])).
% 1.45/1.65 tff(830,plain,
% 1.45/1.65 ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.65 inference(unit_resolution,[status(thm)],[829, 823, 15, 459])).
% 1.45/1.65 tff(831,plain,
% 1.45/1.65 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.65 inference(unit_resolution,[status(thm)],[830, 812, 689, 699])).
% 1.45/1.65 tff(832,plain,
% 1.45/1.65 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(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(skf1(elem!0)))), 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] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.65 inference(rewrite,[status(thm)],[])).
% 1.45/1.65 tff(833,plain,
% 1.45/1.65 ((ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(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)))))) | (~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)))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.65 inference(rewrite,[status(thm)],[])).
% 1.45/1.65 tff(834,plain,
% 1.45/1.65 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(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)))))) | (~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)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.65 inference(monotonicity,[status(thm)],[833])).
% 1.45/1.65 tff(835,plain,
% 1.45/1.65 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(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)))))) | (~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)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.65 inference(transitivity,[status(thm)],[834, 832])).
% 1.45/1.65 tff(836,plain,
% 1.45/1.65 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(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)))))) | (~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)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.65 inference(quant_inst,[status(thm)],[])).
% 1.45/1.65 tff(837,plain,
% 1.45/1.65 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.65 inference(modus_ponens,[status(thm)],[836, 835])).
% 1.45/1.65 tff(838,plain,
% 1.45/1.65 ((~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.65 inference(unit_resolution,[status(thm)],[837, 304, 459, 522])).
% 1.45/1.65 tff(839,plain,
% 1.45/1.65 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.65 inference(unit_resolution,[status(thm)],[838, 831, 813, 689])).
% 1.45/1.65 tff(840,plain,
% 1.45/1.65 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V))) <=> (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V))))),
% 1.45/1.65 inference(bind,[status(th)],[])).
% 1.45/1.65 tff(841,plain,
% 1.45/1.65 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))),
% 1.45/1.65 inference(quant_intro,[status(thm)],[840])).
% 1.45/1.65 tff(842,plain,
% 1.45/1.65 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))),
% 1.45/1.65 inference(rewrite,[status(thm)],[])).
% 1.45/1.65 tff(843,plain,
% 1.45/1.65 (^[W: $i, V: $i, U: $i, X: $i] : 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(W, X))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, X))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv1(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv1(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv2(V)))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv2(V))))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv4(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv2(V))) | (~ssPv4(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv2(V))) | (~ssPv4(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv4(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V))))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv4(W))) | ssPv3(W)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V))) | ssPv3(W)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V))) | ssPv3(W)) <=> (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv4(W))) | ssPv3(W)) <=> (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))))),
% 1.45/1.65 inference(bind,[status(th)],[])).
% 1.45/1.65 tff(844,plain,
% 1.45/1.65 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv4(W))) | ssPv3(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))),
% 1.45/1.65 inference(quant_intro,[status(thm)],[843])).
% 1.45/1.65 tff(845,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv4(W))) | ssPv3(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause9')).
% 1.45/1.65 tff(846,plain,
% 1.45/1.65 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))),
% 1.45/1.65 inference(modus_ponens,[status(thm)],[845, 844])).
% 1.45/1.65 tff(847,plain,
% 1.45/1.65 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))),
% 1.45/1.65 inference(modus_ponens,[status(thm)],[846, 842])).
% 1.45/1.65 tff(848,plain,(
% 1.45/1.65 ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))),
% 1.45/1.65 inference(skolemize,[status(sab)],[847])).
% 1.45/1.65 tff(849,plain,
% 1.45/1.65 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))),
% 1.45/1.65 inference(modus_ponens,[status(thm)],[848, 841])).
% 1.45/1.65 tff(850,plain,
% 1.45/1.65 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (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))))) | (~ssPv2(skf1(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(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | 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))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.65 inference(rewrite,[status(thm)],[])).
% 1.45/1.65 tff(851,plain,
% 1.45/1.65 ((ssPv3(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(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(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))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.65 inference(rewrite,[status(thm)],[])).
% 1.45/1.65 tff(852,plain,
% 1.45/1.65 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(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(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (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))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.65 inference(monotonicity,[status(thm)],[851])).
% 1.45/1.65 tff(853,plain,
% 1.45/1.65 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(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(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | 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))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.66 inference(transitivity,[status(thm)],[852, 850])).
% 1.45/1.66 tff(854,plain,
% 1.45/1.66 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(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(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.66 inference(quant_inst,[status(thm)],[])).
% 1.45/1.66 tff(855,plain,
% 1.45/1.66 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | 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))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.66 inference(modus_ponens,[status(thm)],[854, 853])).
% 1.45/1.66 tff(856,plain,
% 1.45/1.66 (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.66 inference(unit_resolution,[status(thm)],[855, 849, 15, 459])).
% 1.45/1.66 tff(857,plain,
% 1.45/1.66 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.45/1.66 inference(unit_resolution,[status(thm)],[856, 813, 3, 783])).
% 1.45/1.66 tff(858,plain,
% 1.45/1.66 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.66 inference(unit_resolution,[status(thm)],[632, 813, 699, 857])).
% 1.45/1.66 tff(859,plain,
% 1.45/1.66 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(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(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(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(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.66 inference(rewrite,[status(thm)],[])).
% 1.45/1.66 tff(860,plain,
% 1.45/1.66 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(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(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)))) | ssPv3(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(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.66 inference(rewrite,[status(thm)],[])).
% 1.45/1.66 tff(861,plain,
% 1.45/1.66 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(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(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] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(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(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.66 inference(monotonicity,[status(thm)],[860])).
% 1.45/1.66 tff(862,plain,
% 1.45/1.66 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(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(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] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(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(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.66 inference(transitivity,[status(thm)],[861, 859])).
% 1.45/1.66 tff(863,plain,
% 1.45/1.66 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(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(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)))))),
% 1.45/1.66 inference(quant_inst,[status(thm)],[])).
% 1.45/1.66 tff(864,plain,
% 1.45/1.66 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(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(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.66 inference(modus_ponens,[status(thm)],[863, 862])).
% 1.45/1.66 tff(865,plain,
% 1.45/1.66 (ssPv1(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(skf1(elem!0)))))))),
% 1.45/1.66 inference(unit_resolution,[status(thm)],[864, 179, 459, 522])).
% 1.45/1.66 tff(866,plain,
% 1.45/1.66 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.66 inference(unit_resolution,[status(thm)],[865, 831, 857, 858])).
% 1.45/1.66 tff(867,plain,
% 1.45/1.66 (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.66 inference(unit_resolution,[status(thm)],[545, 866, 857, 839])).
% 1.45/1.66 tff(868,plain,
% 1.45/1.66 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W))) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W))))),
% 1.45/1.66 inference(bind,[status(th)],[])).
% 1.45/1.66 tff(869,plain,
% 1.45/1.66 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))),
% 1.45/1.66 inference(quant_intro,[status(thm)],[868])).
% 1.45/1.66 tff(870,plain,
% 1.45/1.66 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))),
% 1.45/1.66 inference(rewrite,[status(thm)],[])).
% 1.45/1.66 tff(871,plain,
% 1.45/1.66 (^[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))) | ssPv2(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv2(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv2(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(W)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(W))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv1(X)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(W))) | ssPv1(X)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(W))) | ssPv1(X)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv1(X)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv1(X)) | ssPv2(W)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W))) | ssPv2(W)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W))) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv1(X)) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))))),
% 1.45/1.66 inference(bind,[status(th)],[])).
% 1.45/1.66 tff(872,plain,
% 1.45/1.66 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv1(X)) | ssPv2(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))),
% 1.45/1.66 inference(quant_intro,[status(thm)],[871])).
% 1.45/1.66 tff(873,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv1(X)) | ssPv2(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause4')).
% 1.45/1.66 tff(874,plain,
% 1.45/1.66 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))),
% 1.45/1.66 inference(modus_ponens,[status(thm)],[873, 872])).
% 1.45/1.66 tff(875,plain,
% 1.45/1.66 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))),
% 1.45/1.66 inference(modus_ponens,[status(thm)],[874, 870])).
% 1.45/1.66 tff(876,plain,(
% 1.45/1.66 ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))),
% 1.45/1.66 inference(skolemize,[status(sab)],[875])).
% 1.45/1.66 tff(877,plain,
% 1.45/1.66 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))),
% 1.45/1.66 inference(modus_ponens,[status(thm)],[876, 869])).
% 1.45/1.66 tff(878,plain,
% 1.45/1.66 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.66 inference(rewrite,[status(thm)],[])).
% 1.45/1.66 tff(879,plain,
% 1.45/1.66 ((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))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(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))))) | ssPv1(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)))))))),
% 1.45/1.66 inference(rewrite,[status(thm)],[])).
% 1.45/1.66 tff(880,plain,
% 1.45/1.66 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (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))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.66 inference(monotonicity,[status(thm)],[879])).
% 1.45/1.66 tff(881,plain,
% 1.45/1.66 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (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))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.66 inference(transitivity,[status(thm)],[880, 878])).
% 1.45/1.66 tff(882,plain,
% 1.45/1.66 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (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))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.66 inference(quant_inst,[status(thm)],[])).
% 1.45/1.66 tff(883,plain,
% 1.45/1.66 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.66 inference(modus_ponens,[status(thm)],[882, 881])).
% 1.45/1.66 tff(884,plain,
% 1.45/1.66 (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.66 inference(unit_resolution,[status(thm)],[883, 877, 459, 522])).
% 1.45/1.66 tff(885,plain,
% 1.45/1.66 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.66 inference(unit_resolution,[status(thm)],[884, 867, 699, 717])).
% 1.45/1.66 tff(886,plain,
% 1.45/1.66 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.66 inference(rewrite,[status(thm)],[])).
% 1.45/1.66 tff(887,plain,
% 1.45/1.66 ((ssPv2(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(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))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.66 inference(rewrite,[status(thm)],[])).
% 1.45/1.66 tff(888,plain,
% 1.45/1.66 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv2(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(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))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.66 inference(monotonicity,[status(thm)],[887])).
% 1.45/1.66 tff(889,plain,
% 1.45/1.66 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv2(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(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))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.66 inference(transitivity,[status(thm)],[888, 886])).
% 1.45/1.66 tff(890,plain,
% 1.45/1.66 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv2(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(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))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.66 inference(quant_inst,[status(thm)],[])).
% 1.45/1.66 tff(891,plain,
% 1.45/1.66 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.66 inference(modus_ponens,[status(thm)],[890, 889])).
% 1.45/1.66 tff(892,plain,
% 1.45/1.66 ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.66 inference(unit_resolution,[status(thm)],[891, 322, 459, 522])).
% 1.45/1.66 tff(893,plain,
% 1.45/1.66 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.66 inference(unit_resolution,[status(thm)],[892, 867, 699, 813])).
% 1.45/1.66 tff(894,assumption,(~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), introduced(assumption)).
% 1.45/1.66 tff(895,assumption,(ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))), introduced(assumption)).
% 1.45/1.66 tff(896,assumption,(ssPv1(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.45/1.66 tff(897,assumption,(ssPv4(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.45/1.66 tff(898,assumption,(~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))), introduced(assumption)).
% 1.45/1.66 tff(899,plain,
% 1.45/1.66 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(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] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.66 inference(rewrite,[status(thm)],[])).
% 1.45/1.66 tff(900,plain,
% 1.45/1.66 ((ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(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(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)))))))) | (~ssPv4(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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.66 inference(rewrite,[status(thm)],[])).
% 1.45/1.66 tff(901,plain,
% 1.45/1.66 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(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(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)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.66 inference(monotonicity,[status(thm)],[900])).
% 1.45/1.66 tff(902,plain,
% 1.45/1.66 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(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(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)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.66 inference(transitivity,[status(thm)],[901, 899])).
% 1.45/1.66 tff(903,plain,
% 1.45/1.66 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(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(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)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.66 inference(quant_inst,[status(thm)],[])).
% 1.45/1.66 tff(904,plain,
% 1.45/1.66 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.66 inference(modus_ponens,[status(thm)],[903, 902])).
% 1.45/1.66 tff(905,plain,
% 1.45/1.66 ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.66 inference(unit_resolution,[status(thm)],[904, 386, 522, 567])).
% 1.45/1.66 tff(906,plain,
% 1.45/1.66 (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.66 inference(unit_resolution,[status(thm)],[905, 898, 897, 896])).
% 1.45/1.66 tff(907,plain,
% 1.45/1.66 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.66 inference(quant_inst,[status(thm)],[])).
% 1.45/1.66 tff(908,plain,
% 1.45/1.66 (ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.66 inference(unit_resolution,[status(thm)],[907, 13])).
% 1.45/1.66 tff(909,plain,
% 1.45/1.66 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ((~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)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(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(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (~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)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.66 inference(rewrite,[status(thm)],[])).
% 1.45/1.66 tff(910,plain,
% 1.45/1.66 ((ssPv4(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)))))))) | (~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))))))))) | 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(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)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.66 inference(rewrite,[status(thm)],[])).
% 1.45/1.66 tff(911,plain,
% 1.45/1.66 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(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)))))))) | (~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))))))))) | ssPv4(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] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ((~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)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.66 inference(monotonicity,[status(thm)],[910])).
% 1.45/1.66 tff(912,plain,
% 1.45/1.66 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(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)))))))) | (~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))))))))) | ssPv4(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] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (~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)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.66 inference(transitivity,[status(thm)],[911, 909])).
% 1.45/1.66 tff(913,plain,
% 1.45/1.66 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(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)))))))) | (~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))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.67 inference(quant_inst,[status(thm)],[])).
% 1.45/1.67 tff(914,plain,
% 1.45/1.67 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (~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)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.67 inference(modus_ponens,[status(thm)],[913, 912])).
% 1.45/1.67 tff(915,plain,
% 1.45/1.67 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.67 inference(unit_resolution,[status(thm)],[914, 197, 567, 908])).
% 1.45/1.67 tff(916,plain,
% 1.45/1.67 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.67 inference(unit_resolution,[status(thm)],[915, 906, 634, 898])).
% 1.45/1.67 tff(917,plain,
% 1.45/1.67 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~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)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(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)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~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)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.67 inference(rewrite,[status(thm)],[])).
% 1.45/1.67 tff(918,plain,
% 1.45/1.67 (((~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(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(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))))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.67 inference(rewrite,[status(thm)],[])).
% 1.45/1.67 tff(919,plain,
% 1.45/1.67 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~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(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(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)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~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)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))))),
% 1.45/1.67 inference(monotonicity,[status(thm)],[918])).
% 1.45/1.67 tff(920,plain,
% 1.45/1.67 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~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(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(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)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~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)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.67 inference(transitivity,[status(thm)],[919, 917])).
% 1.45/1.67 tff(921,plain,
% 1.45/1.67 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~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(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.67 inference(quant_inst,[status(thm)],[])).
% 1.45/1.67 tff(922,plain,
% 1.45/1.67 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.67 inference(modus_ponens,[status(thm)],[921, 920])).
% 1.45/1.67 tff(923,plain,
% 1.45/1.67 (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.67 inference(unit_resolution,[status(thm)],[922, 235, 567, 908])).
% 1.45/1.67 tff(924,plain,
% 1.45/1.67 ($false),
% 1.45/1.67 inference(unit_resolution,[status(thm)],[923, 916, 906, 895, 894])).
% 1.45/1.67 tff(925,plain,(ssPv3(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(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))), inference(lemma,lemma(discharge,[]))).
% 1.45/1.67 tff(926,plain,
% 1.45/1.67 (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.67 inference(unit_resolution,[status(thm)],[925, 839, 866, 858, 893, 885])).
% 1.45/1.67 tff(927,plain,
% 1.45/1.67 (((~![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)) | (~ssPv2(W)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(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)) | (~ssPv2(W)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.67 inference(rewrite,[status(thm)],[])).
% 1.45/1.67 tff(928,plain,
% 1.45/1.67 ((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)))))))) | (~ssPv2(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(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.67 inference(rewrite,[status(thm)],[])).
% 1.45/1.67 tff(929,plain,
% 1.45/1.67 (((~![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)) | (~ssPv2(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)))))))) | (~ssPv2(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)) | (~ssPv2(W)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.67 inference(monotonicity,[status(thm)],[928])).
% 1.45/1.67 tff(930,plain,
% 1.45/1.67 (((~![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)) | (~ssPv2(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)))))))) | (~ssPv2(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)) | (~ssPv2(W)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.67 inference(transitivity,[status(thm)],[929, 927])).
% 1.45/1.67 tff(931,plain,
% 1.45/1.67 ((~![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)) | (~ssPv2(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)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.67 inference(quant_inst,[status(thm)],[])).
% 1.45/1.67 tff(932,plain,
% 1.45/1.67 ((~![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)) | (~ssPv2(W)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.67 inference(modus_ponens,[status(thm)],[931, 930])).
% 1.45/1.67 tff(933,plain,
% 1.45/1.67 ((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.67 inference(unit_resolution,[status(thm)],[932, 597, 522, 567])).
% 1.45/1.67 tff(934,plain,
% 1.45/1.67 (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.67 inference(unit_resolution,[status(thm)],[933, 926, 813, 839])).
% 1.45/1.67 tff(935,plain,
% 1.45/1.67 (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.67 inference(unit_resolution,[status(thm)],[923, 934, 839, 866])).
% 1.45/1.67 tff(936,plain,
% 1.45/1.67 (((~![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)) | ssPv4(W) | (~ssPv3(W)))) | ((~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)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(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] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (~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)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.67 inference(rewrite,[status(thm)],[])).
% 1.45/1.67 tff(937,plain,
% 1.45/1.67 ((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))))))))) | ssPv4(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)))))))) | (~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)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.67 inference(rewrite,[status(thm)],[])).
% 1.45/1.67 tff(938,plain,
% 1.45/1.67 (((~![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)) | ssPv4(W) | (~ssPv3(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))))))))) | ssPv4(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] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | ((~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)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.67 inference(monotonicity,[status(thm)],[937])).
% 1.45/1.67 tff(939,plain,
% 1.45/1.67 (((~![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)) | ssPv4(W) | (~ssPv3(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))))))))) | ssPv4(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] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (~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)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.67 inference(transitivity,[status(thm)],[938, 936])).
% 1.45/1.67 tff(940,plain,
% 1.45/1.67 ((~![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)) | ssPv4(W) | (~ssPv3(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))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.67 inference(quant_inst,[status(thm)],[])).
% 1.45/1.67 tff(941,plain,
% 1.45/1.67 ((~![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)) | ssPv4(W) | (~ssPv3(W)))) | (~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)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.67 inference(modus_ponens,[status(thm)],[940, 939])).
% 1.45/1.67 tff(942,plain,
% 1.45/1.67 (ssPv4(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(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.67 inference(unit_resolution,[status(thm)],[941, 449, 567, 908])).
% 1.45/1.67 tff(943,plain,
% 1.45/1.67 (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.67 inference(unit_resolution,[status(thm)],[942, 935, 858, 839])).
% 1.45/1.67 tff(944,plain,
% 1.45/1.67 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ((~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)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (~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)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.67 inference(rewrite,[status(thm)],[])).
% 1.45/1.67 tff(945,plain,
% 1.45/1.67 ((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(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(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(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)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.67 inference(rewrite,[status(thm)],[])).
% 1.45/1.67 tff(946,plain,
% 1.45/1.67 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (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(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(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] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ((~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)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.67 inference(monotonicity,[status(thm)],[945])).
% 1.45/1.67 tff(947,plain,
% 1.45/1.67 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (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(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(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] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (~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)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.67 inference(transitivity,[status(thm)],[946, 944])).
% 1.45/1.67 tff(948,plain,
% 1.45/1.67 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (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(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(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.67 inference(quant_inst,[status(thm)],[])).
% 1.45/1.67 tff(949,plain,
% 1.45/1.67 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (~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)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.67 inference(modus_ponens,[status(thm)],[948, 947])).
% 1.45/1.67 tff(950,plain,
% 1.45/1.67 (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)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.67 inference(unit_resolution,[status(thm)],[949, 661, 567, 908])).
% 1.45/1.67 tff(951,plain,
% 1.45/1.67 (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.68 inference(unit_resolution,[status(thm)],[950, 926, 858, 867])).
% 1.45/1.68 tff(952,plain,
% 1.45/1.68 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ((~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))))))) | (~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)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (~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))))))) | (~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)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.68 inference(rewrite,[status(thm)],[])).
% 1.45/1.68 tff(953,plain,
% 1.45/1.68 ((ssPv4(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))))))))) | (~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)))))) | (~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)))))))) | ssPv4(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)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.68 inference(rewrite,[status(thm)],[])).
% 1.45/1.68 tff(954,plain,
% 1.45/1.68 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(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))))))))) | (~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)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ((~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))))))) | (~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)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))))),
% 1.45/1.68 inference(monotonicity,[status(thm)],[953])).
% 1.45/1.68 tff(955,plain,
% 1.45/1.68 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(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))))))))) | (~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)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (~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))))))) | (~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)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.68 inference(transitivity,[status(thm)],[954, 952])).
% 1.45/1.68 tff(956,plain,
% 1.45/1.68 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(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))))))))) | (~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)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.68 inference(quant_inst,[status(thm)],[])).
% 1.45/1.68 tff(957,plain,
% 1.45/1.68 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (~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))))))) | (~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)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.68 inference(modus_ponens,[status(thm)],[956, 955])).
% 1.45/1.68 tff(958,plain,
% 1.45/1.68 (ssPv4(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))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.68 inference(unit_resolution,[status(thm)],[957, 255, 567, 908])).
% 1.45/1.68 tff(959,plain,
% 1.45/1.68 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.68 inference(unit_resolution,[status(thm)],[958, 943, 867, 951])).
% 1.45/1.68 tff(960,plain,
% 1.45/1.68 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~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)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (~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)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.68 inference(rewrite,[status(thm)],[])).
% 1.45/1.68 tff(961,plain,
% 1.45/1.68 (((~ssPv1(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)))))))) | ssPv2(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)))))))) | (~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)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.68 inference(rewrite,[status(thm)],[])).
% 1.45/1.68 tff(962,plain,
% 1.45/1.68 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(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)))))))) | ssPv2(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(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~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)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))))),
% 1.45/1.68 inference(monotonicity,[status(thm)],[961])).
% 1.45/1.68 tff(963,plain,
% 1.45/1.68 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(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)))))))) | ssPv2(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(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (~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)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.68 inference(transitivity,[status(thm)],[962, 960])).
% 1.45/1.68 tff(964,plain,
% 1.45/1.68 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(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)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.68 inference(quant_inst,[status(thm)],[])).
% 1.45/1.68 tff(965,plain,
% 1.45/1.68 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.68 inference(modus_ponens,[status(thm)],[964, 963])).
% 1.45/1.68 tff(966,plain,
% 1.45/1.68 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.68 inference(unit_resolution,[status(thm)],[965, 469, 567, 908])).
% 1.45/1.68 tff(967,plain,
% 1.45/1.68 ($false),
% 1.45/1.68 inference(unit_resolution,[status(thm)],[966, 959, 943, 867, 926])).
% 1.45/1.68 tff(968,plain,(ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.45/1.68 tff(969,plain,
% 1.45/1.68 (ssPv1(skf1(elem!0))),
% 1.45/1.68 inference(unit_resolution,[status(thm)],[968, 3])).
% 1.45/1.68 tff(970,plain,
% 1.45/1.68 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.68 inference(unit_resolution,[status(thm)],[484, 547, 3, 4])).
% 1.45/1.68 tff(971,plain,
% 1.45/1.68 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(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))))) | (~ssPv1(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) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(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))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.68 inference(rewrite,[status(thm)],[])).
% 1.45/1.68 tff(972,plain,
% 1.45/1.68 ((ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(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(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv2(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))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.68 inference(rewrite,[status(thm)],[])).
% 1.53/1.68 tff(973,plain,
% 1.53/1.68 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(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(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) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(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))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.68 inference(monotonicity,[status(thm)],[972])).
% 1.53/1.68 tff(974,plain,
% 1.53/1.68 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(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(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) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(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))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.68 inference(transitivity,[status(thm)],[973, 971])).
% 1.53/1.68 tff(975,plain,
% 1.53/1.68 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(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(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.53/1.68 inference(quant_inst,[status(thm)],[])).
% 1.53/1.68 tff(976,plain,
% 1.53/1.68 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.68 inference(modus_ponens,[status(thm)],[975, 974])).
% 1.53/1.68 tff(977,plain,
% 1.53/1.68 (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.68 inference(unit_resolution,[status(thm)],[976, 27, 15, 459])).
% 1.53/1.68 tff(978,plain,
% 1.53/1.68 ($false),
% 1.53/1.68 inference(unit_resolution,[status(thm)],[977, 970, 547, 1, 492])).
% 1.53/1.68 tff(979,plain,(ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.68 tff(980,plain,
% 1.53/1.68 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.53/1.68 inference(unit_resolution,[status(thm)],[979, 492, 1, 3, 4])).
% 1.53/1.68 tff(981,plain,
% 1.53/1.68 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~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))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(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] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~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))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.68 inference(rewrite,[status(thm)],[])).
% 1.53/1.68 tff(982,plain,
% 1.53/1.68 ((ssPv4(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)))))) | (~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))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.68 inference(rewrite,[status(thm)],[])).
% 1.53/1.68 tff(983,plain,
% 1.53/1.68 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv4(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)))))) | (~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] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~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))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.68 inference(monotonicity,[status(thm)],[982])).
% 1.53/1.68 tff(984,plain,
% 1.53/1.68 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv4(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)))))) | (~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] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~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))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.68 inference(transitivity,[status(thm)],[983, 981])).
% 1.53/1.68 tff(985,plain,
% 1.53/1.68 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv4(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)))))) | (~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))))),
% 1.53/1.68 inference(quant_inst,[status(thm)],[])).
% 1.53/1.68 tff(986,plain,
% 1.53/1.68 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~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))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.68 inference(modus_ponens,[status(thm)],[985, 984])).
% 1.53/1.68 tff(987,plain,
% 1.53/1.68 (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.68 inference(unit_resolution,[status(thm)],[986, 731, 15, 459])).
% 1.53/1.68 tff(988,plain,
% 1.53/1.68 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.68 inference(unit_resolution,[status(thm)],[987, 897, 4, 5])).
% 1.53/1.68 tff(989,plain,
% 1.53/1.68 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(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)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(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)))))))),
% 1.53/1.68 inference(rewrite,[status(thm)],[])).
% 1.53/1.68 tff(990,plain,
% 1.53/1.68 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(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)))))) | (~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)))) <=> (ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(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)))))))),
% 1.53/1.68 inference(rewrite,[status(thm)],[])).
% 1.53/1.68 tff(991,plain,
% 1.53/1.68 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(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)))))) | (~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, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(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))))))))),
% 1.53/1.68 inference(monotonicity,[status(thm)],[990])).
% 1.53/1.68 tff(992,plain,
% 1.53/1.68 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(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)))))) | (~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, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(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)))))))),
% 1.53/1.68 inference(transitivity,[status(thm)],[991, 989])).
% 1.53/1.68 tff(993,plain,
% 1.53/1.68 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(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)))))) | (~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))))),
% 1.53/1.68 inference(quant_inst,[status(thm)],[])).
% 1.53/1.68 tff(994,plain,
% 1.53/1.68 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.68 inference(modus_ponens,[status(thm)],[993, 992])).
% 1.53/1.68 tff(995,plain,
% 1.53/1.68 (ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.68 inference(unit_resolution,[status(thm)],[994, 161, 15, 459])).
% 1.53/1.68 tff(996,plain,
% 1.53/1.68 ($false),
% 1.53/1.68 inference(unit_resolution,[status(thm)],[995, 988, 897, 4, 492])).
% 1.53/1.68 tff(997,plain,((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.68 tff(998,plain,
% 1.53/1.68 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.68 inference(unit_resolution,[status(thm)],[997, 492, 4, 5])).
% 1.53/1.68 tff(999,plain,
% 1.53/1.68 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(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))))) | ssPv4(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] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(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))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.68 inference(rewrite,[status(thm)],[])).
% 1.53/1.68 tff(1000,plain,
% 1.53/1.68 ((ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(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))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv4(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))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.69 inference(rewrite,[status(thm)],[])).
% 1.53/1.69 tff(1001,plain,
% 1.53/1.69 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(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))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(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))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.69 inference(monotonicity,[status(thm)],[1000])).
% 1.53/1.69 tff(1002,plain,
% 1.53/1.69 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(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))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(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))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.69 inference(transitivity,[status(thm)],[1001, 999])).
% 1.53/1.69 tff(1003,plain,
% 1.53/1.69 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(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))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.53/1.69 inference(quant_inst,[status(thm)],[])).
% 1.53/1.69 tff(1004,plain,
% 1.53/1.69 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(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))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.69 inference(modus_ponens,[status(thm)],[1003, 1002])).
% 1.53/1.69 tff(1005,plain,
% 1.53/1.69 (ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.69 inference(unit_resolution,[status(thm)],[1004, 197, 15, 459])).
% 1.53/1.69 tff(1006,plain,
% 1.53/1.69 (ssPv4(skf1(skf1(elem!0)))),
% 1.53/1.69 inference(unit_resolution,[status(thm)],[1005, 998, 1, 980])).
% 1.53/1.69 tff(1007,plain,
% 1.53/1.69 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X))) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X))))),
% 1.53/1.69 inference(bind,[status(th)],[])).
% 1.53/1.69 tff(1008,plain,
% 1.53/1.69 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))),
% 1.53/1.69 inference(quant_intro,[status(thm)],[1007])).
% 1.53/1.69 tff(1009,plain,
% 1.53/1.69 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))),
% 1.53/1.69 inference(rewrite,[status(thm)],[])).
% 1.53/1.69 tff(1010,plain,
% 1.53/1.69 (^[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))) | (~ssPv1(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X))) | (~ssPv1(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X))) | (~ssPv1(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(X)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv1(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(X))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv1(W))) | ssPv3(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(X))) | ssPv3(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(X))) | ssPv3(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv1(W))) | ssPv3(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(W)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X))) | ssPv2(W)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X))) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))))),
% 1.53/1.69 inference(bind,[status(th)],[])).
% 1.53/1.69 tff(1011,plain,
% 1.53/1.69 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))),
% 1.53/1.69 inference(quant_intro,[status(thm)],[1010])).
% 1.53/1.69 tff(1012,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause7')).
% 1.53/1.69 tff(1013,plain,
% 1.53/1.69 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))),
% 1.53/1.69 inference(modus_ponens,[status(thm)],[1012, 1011])).
% 1.53/1.69 tff(1014,plain,
% 1.53/1.69 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))),
% 1.53/1.69 inference(modus_ponens,[status(thm)],[1013, 1009])).
% 1.53/1.69 tff(1015,plain,(
% 1.53/1.69 ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))),
% 1.53/1.69 inference(skolemize,[status(sab)],[1014])).
% 1.53/1.69 tff(1016,plain,
% 1.53/1.69 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))),
% 1.53/1.69 inference(modus_ponens,[status(thm)],[1015, 1008])).
% 1.53/1.69 tff(1017,plain,
% 1.53/1.69 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(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] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.53/1.69 inference(rewrite,[status(thm)],[])).
% 1.53/1.69 tff(1018,plain,
% 1.53/1.69 ((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))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0))))) <=> (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.53/1.69 inference(rewrite,[status(thm)],[])).
% 1.53/1.69 tff(1019,plain,
% 1.53/1.69 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (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))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.69 inference(monotonicity,[status(thm)],[1018])).
% 1.53/1.69 tff(1020,plain,
% 1.53/1.69 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (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))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.53/1.69 inference(transitivity,[status(thm)],[1019, 1017])).
% 1.53/1.69 tff(1021,plain,
% 1.53/1.69 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (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))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.53/1.69 inference(quant_inst,[status(thm)],[])).
% 1.53/1.69 tff(1022,plain,
% 1.53/1.69 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.53/1.69 inference(modus_ponens,[status(thm)],[1021, 1020])).
% 1.53/1.69 tff(1023,plain,
% 1.53/1.69 (ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.53/1.69 inference(unit_resolution,[status(thm)],[1022, 1016, 17, 15])).
% 1.53/1.69 tff(1024,plain,
% 1.53/1.69 (ssPv2(skf1(elem!0))),
% 1.53/1.69 inference(unit_resolution,[status(thm)],[1023, 1006, 969, 1])).
% 1.53/1.69 tff(1025,plain,
% 1.53/1.69 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(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) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(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))))))),
% 1.53/1.69 inference(rewrite,[status(thm)],[])).
% 1.53/1.69 tff(1026,plain,
% 1.53/1.69 ((ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(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))))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0)))))) <=> (ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(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))))))),
% 1.53/1.69 inference(rewrite,[status(thm)],[])).
% 1.53/1.69 tff(1027,plain,
% 1.53/1.69 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(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))))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(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)))))))),
% 1.53/1.69 inference(monotonicity,[status(thm)],[1026])).
% 1.53/1.69 tff(1028,plain,
% 1.53/1.69 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(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))))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(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))))))),
% 1.53/1.69 inference(transitivity,[status(thm)],[1027, 1025])).
% 1.53/1.69 tff(1029,plain,
% 1.53/1.69 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(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))))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.69 inference(quant_inst,[status(thm)],[])).
% 1.53/1.69 tff(1030,plain,
% 1.53/1.69 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(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)))))),
% 1.53/1.69 inference(modus_ponens,[status(thm)],[1029, 1028])).
% 1.53/1.69 tff(1031,plain,
% 1.53/1.69 (ssPv4(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.69 inference(unit_resolution,[status(thm)],[1030, 104, 17, 15])).
% 1.53/1.69 tff(1032,plain,
% 1.53/1.69 (ssPv4(skf1(elem!0))),
% 1.53/1.69 inference(unit_resolution,[status(thm)],[1031, 980, 969, 1])).
% 1.53/1.69 tff(1033,plain,
% 1.53/1.69 (ssPv1(elem!0)),
% 1.53/1.69 inference(unit_resolution,[status(thm)],[429, 1006, 1032, 3])).
% 1.53/1.69 tff(1034,plain,
% 1.53/1.69 (~ssPv4(elem!0)),
% 1.53/1.69 inference(unit_resolution,[status(thm)],[393, 1033, 4, 3])).
% 1.53/1.69 tff(1035,plain,
% 1.53/1.69 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.53/1.69 inference(bind,[status(th)],[])).
% 1.53/1.69 tff(1036,plain,
% 1.53/1.69 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(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) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.69 inference(quant_intro,[status(thm)],[1035])).
% 1.53/1.69 tff(1037,plain,
% 1.53/1.69 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(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) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.69 inference(rewrite,[status(thm)],[])).
% 1.53/1.69 tff(1038,plain,
% 1.53/1.69 (^[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))) | (~ssPv2(Z))) <=> (((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(Z))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(Z))) <=> ((~ssRr(X, Y)) | (~ssPv2(Z)) | (~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))) | (~ssPv2(Z))) <=> ((~ssRr(X, Y)) | (~ssPv2(Z)) | (~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))) | (~ssPv2(Z))) | ssPv2(V)) <=> (((~ssRr(X, Y)) | (~ssPv2(Z)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(V)))), rewrite((((~ssRr(X, Y)) | (~ssPv2(Z)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(V)) <=> ((~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | (~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))) | (~ssPv2(Z))) | ssPv2(V)) <=> ((~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | (~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))) | (~ssPv2(Z))) | ssPv2(V)) | ssPv1(Y)) <=> (((~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Y)))), rewrite((((~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | (~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))) | (~ssPv2(Z))) | ssPv2(V)) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | (~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))) | (~ssPv2(Z))) | ssPv2(V)) | ssPv1(Y)) | ssPv4(W)) <=> ((ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)))), rewrite(((ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)) <=> (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(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))) | (~ssPv2(Z))) | ssPv2(V)) | ssPv1(Y)) | ssPv4(W)) <=> (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.53/1.69 inference(bind,[status(th)],[])).
% 1.53/1.69 tff(1039,plain,
% 1.53/1.69 (![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))) | (~ssPv2(Z))) | ssPv2(V)) | ssPv1(Y)) | ssPv4(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.69 inference(quant_intro,[status(thm)],[1038])).
% 1.53/1.69 tff(1040,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))) | (~ssPv2(Z))) | ssPv2(V)) | ssPv1(Y)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause34')).
% 1.53/1.69 tff(1041,plain,
% 1.53/1.69 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.69 inference(modus_ponens,[status(thm)],[1040, 1039])).
% 1.53/1.69 tff(1042,plain,
% 1.53/1.69 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.69 inference(modus_ponens,[status(thm)],[1041, 1037])).
% 1.53/1.69 tff(1043,plain,(
% 1.53/1.69 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.69 inference(skolemize,[status(sab)],[1042])).
% 1.53/1.69 tff(1044,plain,
% 1.53/1.69 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.69 inference(modus_ponens,[status(thm)],[1043, 1036])).
% 1.53/1.69 tff(1045,plain,
% 1.53/1.69 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.53/1.69 inference(rewrite,[status(thm)],[])).
% 1.53/1.69 tff(1046,plain,
% 1.53/1.69 ((ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | ssPv4(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) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.53/1.69 inference(rewrite,[status(thm)],[])).
% 1.53/1.69 tff(1047,plain,
% 1.53/1.69 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | ssPv4(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) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0)))))),
% 1.53/1.69 inference(monotonicity,[status(thm)],[1046])).
% 1.53/1.69 tff(1048,plain,
% 1.53/1.69 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | ssPv4(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) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.53/1.69 inference(transitivity,[status(thm)],[1047, 1045])).
% 1.53/1.69 tff(1049,plain,
% 1.53/1.69 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | ssPv4(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)))))),
% 1.53/1.69 inference(quant_inst,[status(thm)],[])).
% 1.53/1.69 tff(1050,plain,
% 1.53/1.69 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0)))),
% 1.53/1.69 inference(modus_ponens,[status(thm)],[1049, 1048])).
% 1.53/1.69 tff(1051,plain,
% 1.53/1.69 (ssPv4(elem!0) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0)))),
% 1.53/1.69 inference(unit_resolution,[status(thm)],[1050, 1044, 38, 17])).
% 1.53/1.69 tff(1052,plain,
% 1.53/1.69 ($false),
% 1.53/1.69 inference(unit_resolution,[status(thm)],[1051, 1034, 1024, 4, 492])).
% 1.53/1.69 tff(1053,plain,(ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.69 tff(1054,plain,
% 1.53/1.69 (ssPv1(skf1(skf1(elem!0)))),
% 1.53/1.69 inference(unit_resolution,[status(thm)],[1053, 1, 3, 4, 5])).
% 1.53/1.69 tff(1055,plain,
% 1.53/1.69 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(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, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.53/1.69 inference(rewrite,[status(thm)],[])).
% 1.53/1.69 tff(1056,plain,
% 1.53/1.69 ((ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(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))))) | (~ssPv4(skf1(elem!0)))) <=> (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.53/1.69 inference(rewrite,[status(thm)],[])).
% 1.53/1.69 tff(1057,plain,
% 1.53/1.69 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(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))))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.69 inference(monotonicity,[status(thm)],[1056])).
% 1.53/1.69 tff(1058,plain,
% 1.53/1.69 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(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))))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.53/1.69 inference(transitivity,[status(thm)],[1057, 1055])).
% 1.53/1.69 tff(1059,plain,
% 1.53/1.70 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(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))))) | (~ssPv4(skf1(elem!0))))),
% 1.53/1.70 inference(quant_inst,[status(thm)],[])).
% 1.53/1.70 tff(1060,plain,
% 1.53/1.70 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.53/1.70 inference(modus_ponens,[status(thm)],[1059, 1058])).
% 1.53/1.70 tff(1061,plain,
% 1.53/1.70 (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[1060, 386, 17, 15])).
% 1.53/1.70 tff(1062,plain,
% 1.53/1.70 (~ssPv4(skf1(elem!0))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[1061, 547, 969, 1])).
% 1.53/1.70 tff(1063,plain,
% 1.53/1.70 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(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] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.53/1.70 inference(rewrite,[status(thm)],[])).
% 1.53/1.70 tff(1064,plain,
% 1.53/1.70 ((ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv1(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)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.53/1.70 inference(rewrite,[status(thm)],[])).
% 1.53/1.70 tff(1065,plain,
% 1.53/1.70 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv1(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))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.70 inference(monotonicity,[status(thm)],[1064])).
% 1.53/1.70 tff(1066,plain,
% 1.53/1.70 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv1(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))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.53/1.70 inference(transitivity,[status(thm)],[1065, 1063])).
% 1.53/1.70 tff(1067,plain,
% 1.53/1.70 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv1(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))))))),
% 1.53/1.70 inference(quant_inst,[status(thm)],[])).
% 1.53/1.70 tff(1068,plain,
% 1.53/1.70 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.53/1.70 inference(modus_ponens,[status(thm)],[1067, 1066])).
% 1.53/1.70 tff(1069,plain,
% 1.53/1.70 (ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[1068, 615, 17, 15])).
% 1.53/1.70 tff(1070,plain,
% 1.53/1.70 (ssPv3(skf1(elem!0))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[1069, 547, 969, 1])).
% 1.53/1.70 tff(1071,plain,
% 1.53/1.70 ($false),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[437, 1070, 1062, 3, 1])).
% 1.53/1.70 tff(1072,plain,(ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.70 tff(1073,plain,
% 1.53/1.70 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[1072, 1, 3])).
% 1.53/1.70 tff(1074,plain,
% 1.53/1.70 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[1005, 720, 1, 1073])).
% 1.53/1.70 tff(1075,plain,
% 1.53/1.70 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[987, 1074, 4, 5])).
% 1.53/1.70 tff(1076,plain,
% 1.53/1.70 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[780, 1075, 1054, 720])).
% 1.53/1.70 tff(1077,plain,
% 1.53/1.70 ($false),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[622, 1076, 1075, 3, 1054])).
% 1.53/1.70 tff(1078,plain,(ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.70 tff(1079,plain,
% 1.53/1.70 (ssPv4(skf1(skf1(elem!0)))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[1078, 1, 4, 5, 3])).
% 1.53/1.70 tff(1080,plain,
% 1.53/1.70 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ((~ssPv4(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))))) | ssPv3(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] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssPv4(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))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.70 inference(rewrite,[status(thm)],[])).
% 1.53/1.70 tff(1081,plain,
% 1.53/1.70 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(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))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0))))) <=> ((~ssPv4(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))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.70 inference(rewrite,[status(thm)],[])).
% 1.53/1.70 tff(1082,plain,
% 1.53/1.70 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(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))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ((~ssPv4(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))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.70 inference(monotonicity,[status(thm)],[1081])).
% 1.53/1.70 tff(1083,plain,
% 1.53/1.70 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(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))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssPv4(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))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.70 inference(transitivity,[status(thm)],[1082, 1080])).
% 1.53/1.70 tff(1084,plain,
% 1.53/1.70 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(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))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.53/1.70 inference(quant_inst,[status(thm)],[])).
% 1.53/1.70 tff(1085,plain,
% 1.53/1.70 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssPv4(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))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.70 inference(modus_ponens,[status(thm)],[1084, 1083])).
% 1.53/1.70 tff(1086,plain,
% 1.53/1.70 ((~ssPv4(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[1085, 304, 15, 459])).
% 1.53/1.70 tff(1087,plain,
% 1.53/1.70 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[1086, 1079, 1, 1073])).
% 1.53/1.70 tff(1088,plain,
% 1.53/1.70 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.53/1.70 inference(bind,[status(th)],[])).
% 1.53/1.70 tff(1089,plain,
% 1.53/1.70 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.70 inference(quant_intro,[status(thm)],[1088])).
% 1.53/1.70 tff(1090,plain,
% 1.53/1.70 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.70 inference(rewrite,[status(thm)],[])).
% 1.53/1.70 tff(1091,plain,
% 1.53/1.70 (^[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)) | (~ssPv1(W)) | (~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)) | (~ssPv1(W)) | (~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))) | ssPv1(Y)) <=> (((~ssPv3(V)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Y)))), rewrite((((~ssPv3(V)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssPv3(V)) | (~ssPv1(W)) | (~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))) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssPv3(V)) | (~ssPv1(W)) | (~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))) | ssPv1(Y)) | ssPv3(W)) <=> ((ssPv1(Y) | (~ssPv3(V)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)))), rewrite(((ssPv1(Y) | (~ssPv3(V)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)) <=> (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~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))) | ssPv1(Y)) | ssPv3(W)) <=> (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.53/1.70 inference(bind,[status(th)],[])).
% 1.53/1.70 tff(1092,plain,
% 1.53/1.70 (![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)) | ssPv3(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.70 inference(quant_intro,[status(thm)],[1091])).
% 1.53/1.70 tff(1093,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)) | ssPv3(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause19')).
% 1.53/1.70 tff(1094,plain,
% 1.53/1.70 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.70 inference(modus_ponens,[status(thm)],[1093, 1092])).
% 1.53/1.70 tff(1095,plain,
% 1.53/1.70 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.70 inference(modus_ponens,[status(thm)],[1094, 1090])).
% 1.53/1.70 tff(1096,plain,(
% 1.53/1.70 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.70 inference(skolemize,[status(sab)],[1095])).
% 1.53/1.70 tff(1097,plain,
% 1.53/1.70 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.70 inference(modus_ponens,[status(thm)],[1096, 1089])).
% 1.53/1.70 tff(1098,plain,
% 1.53/1.70 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.70 inference(rewrite,[status(thm)],[])).
% 1.53/1.70 tff(1099,plain,
% 1.53/1.70 ((ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(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)))))) | (~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))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.70 inference(rewrite,[status(thm)],[])).
% 1.53/1.70 tff(1100,plain,
% 1.53/1.70 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(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)))))) | (~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, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.70 inference(monotonicity,[status(thm)],[1099])).
% 1.53/1.70 tff(1101,plain,
% 1.53/1.70 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(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)))))) | (~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, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.70 inference(transitivity,[status(thm)],[1100, 1098])).
% 1.53/1.70 tff(1102,plain,
% 1.53/1.70 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(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)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.70 inference(quant_inst,[status(thm)],[])).
% 1.53/1.70 tff(1103,plain,
% 1.53/1.70 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.70 inference(modus_ponens,[status(thm)],[1102, 1101])).
% 1.53/1.70 tff(1104,plain,
% 1.53/1.70 ((~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[1103, 1097, 15, 459])).
% 1.53/1.70 tff(1105,plain,
% 1.53/1.70 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[1104, 1087, 3, 1054])).
% 1.53/1.70 tff(1106,plain,
% 1.53/1.70 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W))) <=> (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W))))),
% 1.53/1.70 inference(bind,[status(th)],[])).
% 1.53/1.70 tff(1107,plain,
% 1.53/1.70 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))),
% 1.53/1.70 inference(quant_intro,[status(thm)],[1106])).
% 1.53/1.70 tff(1108,plain,
% 1.53/1.70 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))),
% 1.53/1.70 inference(rewrite,[status(thm)],[])).
% 1.53/1.70 tff(1109,plain,
% 1.53/1.70 (^[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))) | (~ssPv1(Y))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Y))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(W))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | (~ssPv1(W))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | (~ssPv1(W))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(W))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W))))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv3(Z)) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W))) | ssPv3(Z)))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W))) | ssPv3(Z)) <=> (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv3(Z)) <=> (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))))),
% 1.53/1.70 inference(bind,[status(th)],[])).
% 1.53/1.70 tff(1110,plain,
% 1.53/1.70 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv3(Z)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))),
% 1.53/1.70 inference(quant_intro,[status(thm)],[1109])).
% 1.53/1.70 tff(1111,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv3(Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause44')).
% 1.53/1.70 tff(1112,plain,
% 1.53/1.70 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))),
% 1.53/1.70 inference(modus_ponens,[status(thm)],[1111, 1110])).
% 1.53/1.70 tff(1113,plain,
% 1.53/1.70 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))),
% 1.53/1.70 inference(modus_ponens,[status(thm)],[1112, 1108])).
% 1.53/1.70 tff(1114,plain,(
% 1.53/1.70 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))),
% 1.53/1.70 inference(skolemize,[status(sab)],[1113])).
% 1.53/1.70 tff(1115,plain,
% 1.53/1.70 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))),
% 1.53/1.70 inference(modus_ponens,[status(thm)],[1114, 1107])).
% 1.53/1.70 tff(1116,plain,
% 1.53/1.70 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(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] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.70 inference(rewrite,[status(thm)],[])).
% 1.53/1.70 tff(1117,plain,
% 1.53/1.70 ((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)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(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))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.70 inference(rewrite,[status(thm)],[])).
% 1.53/1.70 tff(1118,plain,
% 1.53/1.70 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(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)))))) | (~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(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.70 inference(monotonicity,[status(thm)],[1117])).
% 1.53/1.70 tff(1119,plain,
% 1.53/1.70 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(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)))))) | (~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(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.70 inference(transitivity,[status(thm)],[1118, 1116])).
% 1.53/1.70 tff(1120,plain,
% 1.53/1.70 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(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)))))) | (~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(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.53/1.70 inference(quant_inst,[status(thm)],[])).
% 1.53/1.70 tff(1121,plain,
% 1.53/1.70 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.70 inference(modus_ponens,[status(thm)],[1120, 1119])).
% 1.53/1.70 tff(1122,plain,
% 1.53/1.70 ((~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[1121, 1115, 15, 459])).
% 1.53/1.70 tff(1123,plain,
% 1.53/1.70 ($false),
% 1.53/1.70 inference(unit_resolution,[status(thm)],[1122, 1105, 1087, 1, 1054])).
% 1.53/1.71 tff(1124,plain,(ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.71 tff(1125,plain,
% 1.53/1.71 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[1124, 5, 4, 3])).
% 1.53/1.71 tff(1126,plain,
% 1.53/1.71 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.71 inference(rewrite,[status(thm)],[])).
% 1.53/1.71 tff(1127,plain,
% 1.53/1.71 ((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))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0)))) <=> (ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.71 inference(rewrite,[status(thm)],[])).
% 1.53/1.71 tff(1128,plain,
% 1.53/1.71 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (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))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.71 inference(monotonicity,[status(thm)],[1127])).
% 1.53/1.71 tff(1129,plain,
% 1.53/1.71 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (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))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.71 inference(transitivity,[status(thm)],[1128, 1126])).
% 1.53/1.71 tff(1130,plain,
% 1.53/1.71 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (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))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))),
% 1.53/1.71 inference(quant_inst,[status(thm)],[])).
% 1.53/1.71 tff(1131,plain,
% 1.53/1.71 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.71 inference(modus_ponens,[status(thm)],[1130, 1129])).
% 1.53/1.71 tff(1132,plain,
% 1.53/1.71 (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[1131, 1115, 17, 15])).
% 1.53/1.71 tff(1133,plain,
% 1.53/1.71 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[1132, 1125, 3, 969])).
% 1.53/1.71 tff(1134,plain,
% 1.53/1.71 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), 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)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.71 inference(rewrite,[status(thm)],[])).
% 1.53/1.71 tff(1135,plain,
% 1.53/1.71 ((ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)) | (~ssPv1(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)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.71 inference(rewrite,[status(thm)],[])).
% 1.53/1.71 tff(1136,plain,
% 1.53/1.71 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)) | (~ssPv1(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))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.71 inference(monotonicity,[status(thm)],[1135])).
% 1.53/1.71 tff(1137,plain,
% 1.53/1.71 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)) | (~ssPv1(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))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.71 inference(transitivity,[status(thm)],[1136, 1134])).
% 1.53/1.71 tff(1138,plain,
% 1.53/1.71 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)) | (~ssPv1(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))))))),
% 1.53/1.71 inference(quant_inst,[status(thm)],[])).
% 1.53/1.71 tff(1139,plain,
% 1.53/1.71 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.53/1.71 inference(modus_ponens,[status(thm)],[1138, 1137])).
% 1.53/1.71 tff(1140,plain,
% 1.53/1.71 (ssPv3(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[1139, 1097, 17, 15])).
% 1.53/1.71 tff(1141,plain,
% 1.53/1.71 (ssPv3(skf1(elem!0))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[1140, 1125, 969, 1133])).
% 1.53/1.71 tff(1142,plain,
% 1.53/1.71 (~ssPv4(skf1(skf1(elem!0)))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[791, 492, 1125, 998])).
% 1.53/1.71 tff(1143,plain,
% 1.53/1.71 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~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))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~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))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.71 inference(rewrite,[status(thm)],[])).
% 1.53/1.71 tff(1144,plain,
% 1.53/1.71 ((ssPv2(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))))) | (~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))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.71 inference(rewrite,[status(thm)],[])).
% 1.53/1.71 tff(1145,plain,
% 1.53/1.71 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(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))))) | (~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] : (ssPv2(Z) | ssPv4(Y) | (~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))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.71 inference(monotonicity,[status(thm)],[1144])).
% 1.53/1.71 tff(1146,plain,
% 1.53/1.71 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(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))))) | (~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] : (ssPv2(Z) | ssPv4(Y) | (~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))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.71 inference(transitivity,[status(thm)],[1145, 1143])).
% 1.53/1.71 tff(1147,plain,
% 1.53/1.71 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(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))))) | (~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)))),
% 1.53/1.71 inference(quant_inst,[status(thm)],[])).
% 1.53/1.71 tff(1148,plain,
% 1.53/1.71 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.53/1.71 inference(modus_ponens,[status(thm)],[1147, 1146])).
% 1.53/1.71 tff(1149,plain,
% 1.53/1.71 (ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[1148, 557, 17, 15])).
% 1.53/1.71 tff(1150,plain,
% 1.53/1.71 (ssPv2(skf1(elem!0))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[1149, 1125, 4, 5])).
% 1.53/1.71 tff(1151,plain,
% 1.53/1.71 (ssPv4(elem!0)),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[1051, 492, 4, 1150])).
% 1.53/1.71 tff(1152,plain,
% 1.53/1.71 (~ssPv1(elem!0)),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[393, 1151, 4, 3])).
% 1.53/1.71 tff(1153,plain,
% 1.53/1.71 ($false),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[411, 1152, 1151, 1142, 1141])).
% 1.53/1.71 tff(1154,plain,(ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.71 tff(1155,plain,
% 1.53/1.71 (ssPv1(skf1(skf1(elem!0)))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[1154, 5, 3, 4])).
% 1.53/1.71 tff(1156,plain,
% 1.53/1.71 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[622, 2, 3, 586])).
% 1.53/1.71 tff(1157,plain,
% 1.53/1.71 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[1132, 494, 3, 969])).
% 1.53/1.71 tff(1158,plain,
% 1.53/1.71 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[632, 1156, 494, 1157])).
% 1.53/1.71 tff(1159,plain,
% 1.53/1.71 ($false),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[642, 1158, 1156, 5, 2])).
% 1.53/1.71 tff(1160,plain,(ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.71 tff(1161,plain,
% 1.53/1.71 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[1160, 5, 1125, 3, 1155])).
% 1.53/1.71 tff(1162,plain,
% 1.53/1.71 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[1104, 1161, 3, 1155])).
% 1.53/1.71 tff(1163,plain,
% 1.53/1.71 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~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)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~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)))))))),
% 1.53/1.71 inference(rewrite,[status(thm)],[])).
% 1.53/1.71 tff(1164,plain,
% 1.53/1.71 ((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)))))) | (~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))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~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)))))))),
% 1.53/1.71 inference(rewrite,[status(thm)],[])).
% 1.53/1.71 tff(1165,plain,
% 1.53/1.71 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (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)))))) | (~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))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~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))))))))),
% 1.53/1.71 inference(monotonicity,[status(thm)],[1164])).
% 1.53/1.71 tff(1166,plain,
% 1.53/1.71 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (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)))))) | (~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))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~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)))))))),
% 1.53/1.71 inference(transitivity,[status(thm)],[1165, 1163])).
% 1.53/1.71 tff(1167,plain,
% 1.53/1.71 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (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)))))) | (~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))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.71 inference(quant_inst,[status(thm)],[])).
% 1.53/1.71 tff(1168,plain,
% 1.53/1.71 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~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))))))),
% 1.53/1.71 inference(modus_ponens,[status(thm)],[1167, 1166])).
% 1.53/1.71 tff(1169,plain,
% 1.53/1.71 (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[1168, 255, 15, 459])).
% 1.53/1.71 tff(1170,plain,
% 1.53/1.71 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[1169, 1162, 4, 5])).
% 1.53/1.71 tff(1171,plain,
% 1.53/1.71 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))))))),
% 1.53/1.71 inference(rewrite,[status(thm)],[])).
% 1.53/1.71 tff(1172,plain,
% 1.53/1.71 ((ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))))))),
% 1.53/1.71 inference(rewrite,[status(thm)],[])).
% 1.53/1.71 tff(1173,plain,
% 1.53/1.71 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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))))))))),
% 1.53/1.71 inference(monotonicity,[status(thm)],[1172])).
% 1.53/1.71 tff(1174,plain,
% 1.53/1.71 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))))))),
% 1.53/1.71 inference(transitivity,[status(thm)],[1173, 1171])).
% 1.53/1.71 tff(1175,plain,
% 1.53/1.71 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.71 inference(quant_inst,[status(thm)],[])).
% 1.53/1.71 tff(1176,plain,
% 1.53/1.71 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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))))))),
% 1.53/1.71 inference(modus_ponens,[status(thm)],[1175, 1174])).
% 1.53/1.71 tff(1177,plain,
% 1.53/1.71 (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[1176, 755, 459, 522])).
% 1.53/1.71 tff(1178,plain,
% 1.53/1.71 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.71 inference(unit_resolution,[status(thm)],[1177, 1170, 5, 1161])).
% 1.53/1.71 tff(1179,plain,
% 1.53/1.71 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.53/1.71 inference(bind,[status(th)],[])).
% 1.53/1.71 tff(1180,plain,
% 1.53/1.71 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(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(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.71 inference(quant_intro,[status(thm)],[1179])).
% 1.53/1.71 tff(1181,plain,
% 1.53/1.71 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(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(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.71 inference(rewrite,[status(thm)],[])).
% 1.53/1.71 tff(1182,plain,
% 1.53/1.71 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(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(W, Z))) <=> (((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssPv2(Y)) | (~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(W, Z))) <=> ((~ssPv2(Y)) | (~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(W, Z))) | (~ssPv1(Z))) <=> (((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Z))))), rewrite((((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Z))) <=> ((~ssPv1(Z)) | (~ssPv2(Y)) | (~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(W, Z))) | (~ssPv1(Z))) <=> ((~ssPv1(Z)) | (~ssPv2(Y)) | (~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(W, Z))) | (~ssPv1(Z))) | ssPv4(W)) <=> (((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)))), rewrite((((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)) <=> ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~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(W, Z))) | (~ssPv1(Z))) | ssPv4(W)) <=> ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.53/1.72 inference(bind,[status(th)],[])).
% 1.53/1.72 tff(1183,plain,
% 1.53/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv4(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.72 inference(quant_intro,[status(thm)],[1182])).
% 1.53/1.72 tff(1184,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause46')).
% 1.53/1.72 tff(1185,plain,
% 1.53/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.72 inference(modus_ponens,[status(thm)],[1184, 1183])).
% 1.53/1.72 tff(1186,plain,
% 1.53/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.72 inference(modus_ponens,[status(thm)],[1185, 1181])).
% 1.53/1.72 tff(1187,plain,(
% 1.53/1.72 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.72 inference(skolemize,[status(sab)],[1186])).
% 1.53/1.72 tff(1188,plain,
% 1.53/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.72 inference(modus_ponens,[status(thm)],[1187, 1180])).
% 1.53/1.72 tff(1189,plain,
% 1.53/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(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] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.72 inference(rewrite,[status(thm)],[])).
% 1.53/1.72 tff(1190,plain,
% 1.53/1.72 (((~ssPv1(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))))))) | 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(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)))) | (~ssPv1(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(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.72 inference(rewrite,[status(thm)],[])).
% 1.53/1.72 tff(1191,plain,
% 1.53/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(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))))))) | 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(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] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.53/1.72 inference(monotonicity,[status(thm)],[1190])).
% 1.53/1.72 tff(1192,plain,
% 1.53/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(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))))))) | 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(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] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.72 inference(transitivity,[status(thm)],[1191, 1189])).
% 1.53/1.72 tff(1193,plain,
% 1.53/1.72 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(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))))))) | 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(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.72 inference(quant_inst,[status(thm)],[])).
% 1.53/1.72 tff(1194,plain,
% 1.53/1.72 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.72 inference(modus_ponens,[status(thm)],[1193, 1192])).
% 1.53/1.72 tff(1195,plain,
% 1.53/1.72 (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[1194, 1188, 459, 522])).
% 1.53/1.72 tff(1196,plain,
% 1.53/1.72 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[1195, 1178, 5, 1162])).
% 1.53/1.72 tff(1197,plain,
% 1.53/1.72 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))) <=> (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))))),
% 1.53/1.72 inference(bind,[status(th)],[])).
% 1.53/1.72 tff(1198,plain,
% 1.53/1.72 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))),
% 1.53/1.72 inference(quant_intro,[status(thm)],[1197])).
% 1.53/1.72 tff(1199,plain,
% 1.53/1.72 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))),
% 1.53/1.72 inference(rewrite,[status(thm)],[])).
% 1.53/1.72 tff(1200,plain,
% 1.53/1.72 (^[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(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(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) <=> (((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(W))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | (~ssPv3(W))) <=> (((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) | (~ssPv3(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | (~ssPv3(W))) | ssPv4(V)) <=> (((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))) | ssPv4(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))) | ssPv4(V)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | (~ssPv3(W))) | ssPv4(V)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | (~ssPv3(W))) | ssPv4(V)) | ssPv2(Y)) <=> ((ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))) | ssPv2(Y)))), rewrite(((ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))) | ssPv2(Y)) <=> (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | (~ssPv3(W))) | ssPv4(V)) | ssPv2(Y)) <=> (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))))),
% 1.53/1.72 inference(bind,[status(th)],[])).
% 1.53/1.72 tff(1201,plain,
% 1.53/1.72 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | (~ssPv3(W))) | ssPv4(V)) | ssPv2(Y)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))),
% 1.53/1.72 inference(quant_intro,[status(thm)],[1200])).
% 1.53/1.72 tff(1202,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | (~ssPv3(W))) | ssPv4(V)) | ssPv2(Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause21')).
% 1.53/1.72 tff(1203,plain,
% 1.53/1.72 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))),
% 1.53/1.72 inference(modus_ponens,[status(thm)],[1202, 1201])).
% 1.53/1.72 tff(1204,plain,
% 1.53/1.72 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))),
% 1.53/1.72 inference(modus_ponens,[status(thm)],[1203, 1199])).
% 1.53/1.72 tff(1205,plain,(
% 1.53/1.72 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))),
% 1.53/1.72 inference(skolemize,[status(sab)],[1204])).
% 1.53/1.72 tff(1206,plain,
% 1.53/1.72 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))),
% 1.53/1.72 inference(modus_ponens,[status(thm)],[1205, 1198])).
% 1.53/1.72 tff(1207,plain,
% 1.53/1.72 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | ((~ssPv3(skf1(elem!0))) | ssPv2(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))))) | ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (~ssPv3(skf1(elem!0))) | ssPv2(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))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.72 inference(rewrite,[status(thm)],[])).
% 1.53/1.72 tff(1208,plain,
% 1.53/1.72 ((ssPv4(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))) | (~ssPv2(skf1(elem!0)))) <=> ((~ssPv3(skf1(elem!0))) | ssPv2(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))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.72 inference(rewrite,[status(thm)],[])).
% 1.53/1.72 tff(1209,plain,
% 1.53/1.72 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv4(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))) | (~ssPv2(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | ((~ssPv3(skf1(elem!0))) | ssPv2(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))))) | ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.72 inference(monotonicity,[status(thm)],[1208])).
% 1.53/1.72 tff(1210,plain,
% 1.53/1.72 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv4(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))) | (~ssPv2(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (~ssPv3(skf1(elem!0))) | ssPv2(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))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.72 inference(transitivity,[status(thm)],[1209, 1207])).
% 1.53/1.72 tff(1211,plain,
% 1.53/1.72 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv4(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))) | (~ssPv2(skf1(elem!0))))),
% 1.53/1.72 inference(quant_inst,[status(thm)],[])).
% 1.53/1.72 tff(1212,plain,
% 1.53/1.72 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (~ssPv3(skf1(elem!0))) | ssPv2(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))))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.53/1.72 inference(modus_ponens,[status(thm)],[1211, 1210])).
% 1.53/1.72 tff(1213,plain,
% 1.53/1.72 ((~ssPv3(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[1212, 1206, 17, 15])).
% 1.53/1.72 tff(1214,plain,
% 1.53/1.72 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[1213, 1150, 5, 1141])).
% 1.53/1.72 tff(1215,plain,
% 1.53/1.72 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ((~ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(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] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (~ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.72 inference(rewrite,[status(thm)],[])).
% 1.53/1.72 tff(1216,plain,
% 1.53/1.72 ((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(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))))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.72 inference(rewrite,[status(thm)],[])).
% 1.53/1.72 tff(1217,plain,
% 1.53/1.72 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (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(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))))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ((~ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.72 inference(monotonicity,[status(thm)],[1216])).
% 1.53/1.72 tff(1218,plain,
% 1.53/1.72 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (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(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))))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (~ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.72 inference(transitivity,[status(thm)],[1217, 1215])).
% 1.53/1.72 tff(1219,plain,
% 1.53/1.72 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (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(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))))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.72 inference(quant_inst,[status(thm)],[])).
% 1.53/1.72 tff(1220,plain,
% 1.53/1.72 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (~ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.72 inference(modus_ponens,[status(thm)],[1219, 1218])).
% 1.53/1.72 tff(1221,plain,
% 1.53/1.72 ((~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[1220, 122, 459, 522])).
% 1.53/1.72 tff(1222,plain,
% 1.53/1.72 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.72 inference(unit_resolution,[status(thm)],[1221, 1178, 1133, 1214])).
% 1.53/1.72 tff(1223,plain,
% 1.53/1.72 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.53/1.72 inference(bind,[status(th)],[])).
% 1.53/1.72 tff(1224,plain,
% 1.53/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(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(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.72 inference(quant_intro,[status(thm)],[1223])).
% 1.53/1.72 tff(1225,plain,
% 1.53/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(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(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.72 inference(rewrite,[status(thm)],[])).
% 1.53/1.72 tff(1226,plain,
% 1.53/1.72 (^[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)) | (~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))) | (~ssPv1(Z))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Z))) <=> ((~ssPv1(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))) | (~ssPv1(Z))) <=> ((~ssPv1(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))) | (~ssPv1(Z))) | ssPv4(Y)) <=> (((~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Y)))), rewrite((((~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Y)) <=> ((~ssPv1(Z)) | ssPv4(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))) | (~ssPv1(Z))) | ssPv4(Y)) <=> ((~ssPv1(Z)) | ssPv4(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))) | (~ssPv1(Z))) | ssPv4(Y)) | ssPv4(W)) <=> (((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)))), rewrite((((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)) <=> ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(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))) | (~ssPv1(Z))) | ssPv4(Y)) | ssPv4(W)) <=> ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.53/1.72 inference(bind,[status(th)],[])).
% 1.53/1.72 tff(1227,plain,
% 1.53/1.72 (![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))) | (~ssPv1(Z))) | ssPv4(Y)) | ssPv4(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.72 inference(quant_intro,[status(thm)],[1226])).
% 1.53/1.72 tff(1228,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))) | (~ssPv1(Z))) | ssPv4(Y)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause39')).
% 1.53/1.72 tff(1229,plain,
% 1.53/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.72 inference(modus_ponens,[status(thm)],[1228, 1227])).
% 1.53/1.72 tff(1230,plain,
% 1.53/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.72 inference(modus_ponens,[status(thm)],[1229, 1225])).
% 1.53/1.72 tff(1231,plain,(
% 1.53/1.72 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.72 inference(skolemize,[status(sab)],[1230])).
% 1.53/1.72 tff(1232,plain,
% 1.53/1.72 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.53/1.72 inference(modus_ponens,[status(thm)],[1231, 1224])).
% 1.53/1.72 tff(1233,plain,
% 1.53/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(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] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.72 inference(rewrite,[status(thm)],[])).
% 1.53/1.72 tff(1234,plain,
% 1.53/1.72 (((~ssPv1(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))))))) | (~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(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)))) | (~ssPv1(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(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.72 inference(rewrite,[status(thm)],[])).
% 1.53/1.72 tff(1235,plain,
% 1.53/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(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))))))) | (~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(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] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.53/1.72 inference(monotonicity,[status(thm)],[1234])).
% 1.53/1.72 tff(1236,plain,
% 1.53/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(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))))))) | (~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(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] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.73 inference(transitivity,[status(thm)],[1235, 1233])).
% 1.53/1.73 tff(1237,plain,
% 1.53/1.73 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(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))))))) | (~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(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))))))))),
% 1.53/1.73 inference(quant_inst,[status(thm)],[])).
% 1.53/1.73 tff(1238,plain,
% 1.53/1.73 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.73 inference(modus_ponens,[status(thm)],[1237, 1236])).
% 1.53/1.73 tff(1239,plain,
% 1.53/1.73 (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[1238, 1232, 459, 522])).
% 1.53/1.73 tff(1240,plain,
% 1.53/1.73 ($false),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[1239, 1222, 1196, 5, 1162])).
% 1.53/1.73 tff(1241,plain,(ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.73 tff(1242,plain,
% 1.53/1.73 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[1241, 4, 3])).
% 1.53/1.73 tff(1243,assumption,(ssPv2(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.53/1.73 tff(1244,plain,
% 1.53/1.73 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[800, 2, 721, 492])).
% 1.53/1.73 tff(1245,plain,
% 1.53/1.73 (~ssPv4(skf1(skf1(elem!0)))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[1086, 2, 1, 1243])).
% 1.53/1.73 tff(1246,plain,
% 1.53/1.73 ($false),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[1005, 1245, 1244, 1, 1243])).
% 1.53/1.73 tff(1247,plain,(ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.73 tff(1248,plain,
% 1.53/1.73 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[1247, 492, 1073, 1242, 1])).
% 1.53/1.73 tff(1249,plain,
% 1.53/1.73 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[808, 1248, 3, 492])).
% 1.53/1.73 tff(1250,assumption,(ssPv3(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.53/1.73 tff(1251,plain,
% 1.53/1.73 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(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) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.73 inference(rewrite,[status(thm)],[])).
% 1.53/1.73 tff(1252,plain,
% 1.53/1.73 ((ssPv2(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)))))) | 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(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(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)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.73 inference(rewrite,[status(thm)],[])).
% 1.53/1.73 tff(1253,plain,
% 1.53/1.73 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(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)))))) | 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(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) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.73 inference(monotonicity,[status(thm)],[1252])).
% 1.53/1.73 tff(1254,plain,
% 1.53/1.73 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(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)))))) | 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(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) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.73 inference(transitivity,[status(thm)],[1253, 1251])).
% 1.53/1.73 tff(1255,plain,
% 1.53/1.73 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(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)))))) | 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(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.73 inference(quant_inst,[status(thm)],[])).
% 1.53/1.73 tff(1256,plain,
% 1.53/1.73 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.73 inference(modus_ponens,[status(thm)],[1255, 1254])).
% 1.53/1.73 tff(1257,plain,
% 1.53/1.73 (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[1256, 48, 15, 459])).
% 1.53/1.73 tff(1258,plain,
% 1.53/1.73 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[1257, 720, 1250, 587])).
% 1.53/1.73 tff(1259,plain,
% 1.53/1.73 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[1005, 720, 1, 1243])).
% 1.53/1.73 tff(1260,plain,
% 1.53/1.73 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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(skf1(elem!0))))))))),
% 1.53/1.73 inference(rewrite,[status(thm)],[])).
% 1.53/1.73 tff(1261,plain,
% 1.53/1.73 (((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(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(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(skf1(elem!0))))))) <=> ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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(skf1(elem!0))))))))),
% 1.53/1.73 inference(rewrite,[status(thm)],[])).
% 1.53/1.73 tff(1262,plain,
% 1.53/1.73 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(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(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(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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(skf1(elem!0)))))))))),
% 1.53/1.73 inference(monotonicity,[status(thm)],[1261])).
% 1.53/1.73 tff(1263,plain,
% 1.53/1.73 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(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(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(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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(skf1(elem!0))))))))),
% 1.53/1.73 inference(transitivity,[status(thm)],[1262, 1260])).
% 1.53/1.73 tff(1264,plain,
% 1.53/1.73 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(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(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(skf1(elem!0)))))))),
% 1.53/1.73 inference(quant_inst,[status(thm)],[])).
% 1.53/1.73 tff(1265,plain,
% 1.53/1.73 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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(skf1(elem!0)))))))),
% 1.53/1.73 inference(modus_ponens,[status(thm)],[1264, 1263])).
% 1.53/1.73 tff(1266,plain,
% 1.53/1.73 ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[1265, 823, 459, 522])).
% 1.53/1.73 tff(1267,plain,
% 1.53/1.73 (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[1266, 1258, 1250, 1259])).
% 1.53/1.73 tff(1268,plain,
% 1.53/1.73 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | 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)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | 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)))))))),
% 1.53/1.73 inference(rewrite,[status(thm)],[])).
% 1.53/1.73 tff(1269,plain,
% 1.53/1.73 ((ssPv1(skf1(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(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(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(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))))) | 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)))))))),
% 1.53/1.73 inference(rewrite,[status(thm)],[])).
% 1.53/1.73 tff(1270,plain,
% 1.53/1.73 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(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(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(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) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | 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))))))))),
% 1.53/1.73 inference(monotonicity,[status(thm)],[1269])).
% 1.53/1.73 tff(1271,plain,
% 1.53/1.73 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(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(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(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) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | 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)))))))),
% 1.53/1.73 inference(transitivity,[status(thm)],[1270, 1268])).
% 1.53/1.73 tff(1272,plain,
% 1.53/1.73 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(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(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(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.73 inference(quant_inst,[status(thm)],[])).
% 1.53/1.73 tff(1273,plain,
% 1.53/1.73 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | 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))))))),
% 1.53/1.73 inference(modus_ponens,[status(thm)],[1272, 1271])).
% 1.53/1.73 tff(1274,plain,
% 1.53/1.73 (ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[1273, 1044, 15, 459])).
% 1.53/1.73 tff(1275,plain,
% 1.53/1.73 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[1274, 720, 1243, 587])).
% 1.53/1.73 tff(1276,plain,
% 1.53/1.73 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.73 inference(rewrite,[status(thm)],[])).
% 1.53/1.73 tff(1277,plain,
% 1.53/1.73 ((ssPv3(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(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.73 inference(rewrite,[status(thm)],[])).
% 1.53/1.73 tff(1278,plain,
% 1.53/1.73 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(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(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.53/1.73 inference(monotonicity,[status(thm)],[1277])).
% 1.53/1.73 tff(1279,plain,
% 1.53/1.73 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(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(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.73 inference(transitivity,[status(thm)],[1278, 1276])).
% 1.53/1.73 tff(1280,plain,
% 1.53/1.73 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(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(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.73 inference(quant_inst,[status(thm)],[])).
% 1.53/1.73 tff(1281,plain,
% 1.53/1.73 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.73 inference(modus_ponens,[status(thm)],[1280, 1279])).
% 1.53/1.73 tff(1282,plain,
% 1.53/1.73 (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[1281, 849, 459, 522])).
% 1.53/1.73 tff(1283,plain,
% 1.53/1.73 (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.73 inference(unit_resolution,[status(thm)],[1282, 1275, 721, 1])).
% 1.53/1.73 tff(1284,plain,
% 1.53/1.73 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(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))))))) | ssPv2(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] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv1(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))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.73 inference(rewrite,[status(thm)],[])).
% 1.53/1.73 tff(1285,plain,
% 1.53/1.73 ((ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(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(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))))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv1(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))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.73 inference(rewrite,[status(thm)],[])).
% 1.53/1.73 tff(1286,plain,
% 1.53/1.73 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(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(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))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(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))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.74 inference(monotonicity,[status(thm)],[1285])).
% 1.53/1.74 tff(1287,plain,
% 1.53/1.74 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(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(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))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv1(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))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.74 inference(transitivity,[status(thm)],[1286, 1284])).
% 1.53/1.74 tff(1288,plain,
% 1.53/1.74 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(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(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))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(quant_inst,[status(thm)],[])).
% 1.53/1.74 tff(1289,plain,
% 1.53/1.74 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(modus_ponens,[status(thm)],[1288, 1287])).
% 1.53/1.74 tff(1290,plain,
% 1.53/1.74 ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1289, 386, 459, 522])).
% 1.53/1.74 tff(1291,plain,
% 1.53/1.74 ($false),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1290, 1283, 1267, 721, 1258])).
% 1.53/1.74 tff(1292,plain,(ssPv4(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.74 tff(1293,plain,
% 1.53/1.74 (ssPv4(skf1(skf1(elem!0)))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1292, 1248, 1, 1242, 1073, 1249])).
% 1.53/1.74 tff(1294,plain,
% 1.53/1.74 (ssPv2(skf1(elem!0))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1023, 1293, 969, 1])).
% 1.53/1.74 tff(1295,plain,
% 1.53/1.74 (ssPv4(skf1(elem!0))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1031, 1073, 969, 1])).
% 1.53/1.74 tff(1296,plain,
% 1.53/1.74 (ssPv1(elem!0)),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[429, 1293, 1295, 3])).
% 1.53/1.74 tff(1297,plain,
% 1.53/1.74 (~ssPv4(elem!0)),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[393, 1296, 4, 3])).
% 1.53/1.74 tff(1298,plain,
% 1.53/1.74 ($false),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1051, 1297, 1294, 4, 492])).
% 1.53/1.74 tff(1299,plain,(ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.74 tff(1300,plain,
% 1.53/1.74 (ssPv1(skf1(skf1(elem!0)))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1299, 1, 3, 4])).
% 1.53/1.74 tff(1301,plain,
% 1.53/1.74 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(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] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.74 inference(rewrite,[status(thm)],[])).
% 1.53/1.74 tff(1302,plain,
% 1.53/1.74 ((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(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.74 inference(rewrite,[status(thm)],[])).
% 1.53/1.74 tff(1303,plain,
% 1.53/1.74 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (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(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.74 inference(monotonicity,[status(thm)],[1302])).
% 1.53/1.74 tff(1304,plain,
% 1.53/1.74 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (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(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.74 inference(transitivity,[status(thm)],[1303, 1301])).
% 1.53/1.74 tff(1305,plain,
% 1.53/1.74 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (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(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(quant_inst,[status(thm)],[])).
% 1.53/1.74 tff(1306,plain,
% 1.53/1.74 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(modus_ponens,[status(thm)],[1305, 1304])).
% 1.53/1.74 tff(1307,plain,
% 1.53/1.74 ((~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1306, 1016, 15, 459])).
% 1.53/1.74 tff(1308,plain,
% 1.53/1.74 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1307, 1300, 4, 1242])).
% 1.53/1.74 tff(1309,plain,
% 1.53/1.74 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1104, 1300, 3, 1308])).
% 1.53/1.74 tff(1310,plain,
% 1.53/1.74 ($false),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1122, 1309, 1300, 1, 1308])).
% 1.53/1.74 tff(1311,plain,(ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.74 tff(1312,plain,
% 1.53/1.74 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1311, 4, 3])).
% 1.53/1.74 tff(1313,plain,
% 1.53/1.74 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[476, 1312, 4, 1242])).
% 1.53/1.74 tff(1314,plain,
% 1.53/1.74 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1132, 1312, 3, 969])).
% 1.53/1.74 tff(1315,plain,
% 1.53/1.74 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y))) <=> ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y))))),
% 1.53/1.74 inference(bind,[status(th)],[])).
% 1.53/1.74 tff(1316,plain,
% 1.53/1.74 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.53/1.74 inference(quant_intro,[status(thm)],[1315])).
% 1.53/1.74 tff(1317,plain,
% 1.53/1.74 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.53/1.74 inference(rewrite,[status(thm)],[])).
% 1.53/1.74 tff(1318,plain,
% 1.53/1.74 (^[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(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(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(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))) | (~ssRr(W, Y))) <=> (((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))))), rewrite((((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))) <=> ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) <=> ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) <=> (((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv3(Y))))), rewrite((((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv3(Y))) <=> ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) <=> ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | ssPv2(W)) <=> (((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))) | ssPv2(W)))), rewrite((((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))) | ssPv2(W)) <=> ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | ssPv2(W)) <=> ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))))),
% 1.53/1.74 inference(bind,[status(th)],[])).
% 1.53/1.74 tff(1319,plain,
% 1.53/1.74 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | ssPv2(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.53/1.74 inference(quant_intro,[status(thm)],[1318])).
% 1.53/1.74 tff(1320,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | ssPv2(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause28')).
% 1.53/1.74 tff(1321,plain,
% 1.53/1.74 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.53/1.74 inference(modus_ponens,[status(thm)],[1320, 1319])).
% 1.53/1.74 tff(1322,plain,
% 1.53/1.74 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.53/1.74 inference(modus_ponens,[status(thm)],[1321, 1317])).
% 1.53/1.74 tff(1323,plain,(
% 1.53/1.74 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.53/1.74 inference(skolemize,[status(sab)],[1322])).
% 1.53/1.74 tff(1324,plain,
% 1.53/1.74 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.53/1.74 inference(modus_ponens,[status(thm)],[1323, 1316])).
% 1.53/1.74 tff(1325,plain,
% 1.53/1.74 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(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] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.74 inference(rewrite,[status(thm)],[])).
% 1.53/1.74 tff(1326,plain,
% 1.53/1.74 (((~ssPv4(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(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)))))) <=> (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.74 inference(rewrite,[status(thm)],[])).
% 1.53/1.74 tff(1327,plain,
% 1.53/1.74 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(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(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))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.74 inference(monotonicity,[status(thm)],[1326])).
% 1.53/1.74 tff(1328,plain,
% 1.53/1.74 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(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(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))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.74 inference(transitivity,[status(thm)],[1327, 1325])).
% 1.53/1.74 tff(1329,plain,
% 1.53/1.74 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(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(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))))))),
% 1.53/1.74 inference(quant_inst,[status(thm)],[])).
% 1.53/1.74 tff(1330,plain,
% 1.53/1.74 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(modus_ponens,[status(thm)],[1329, 1328])).
% 1.53/1.74 tff(1331,plain,
% 1.53/1.74 (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1330, 1324, 15, 459])).
% 1.53/1.74 tff(1332,plain,
% 1.53/1.74 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1331, 494, 4, 721])).
% 1.53/1.74 tff(1333,plain,
% 1.53/1.74 (~ssPv4(skf1(skf1(elem!0)))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[791, 492, 494, 1332])).
% 1.53/1.74 tff(1334,plain,
% 1.53/1.74 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv4(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))))) | ssPv2(skf1(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] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ssPv4(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))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.74 inference(rewrite,[status(thm)],[])).
% 1.53/1.74 tff(1335,plain,
% 1.53/1.74 ((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)))))) | ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.74 inference(rewrite,[status(thm)],[])).
% 1.53/1.74 tff(1336,plain,
% 1.53/1.74 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (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)))))) | ssPv4(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] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv4(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))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.74 inference(monotonicity,[status(thm)],[1335])).
% 1.53/1.74 tff(1337,plain,
% 1.53/1.74 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (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)))))) | ssPv4(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] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ssPv4(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))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.74 inference(transitivity,[status(thm)],[1336, 1334])).
% 1.53/1.74 tff(1338,plain,
% 1.53/1.74 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (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)))))) | ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(quant_inst,[status(thm)],[])).
% 1.53/1.74 tff(1339,plain,
% 1.53/1.74 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(modus_ponens,[status(thm)],[1338, 1337])).
% 1.53/1.74 tff(1340,plain,
% 1.53/1.74 (ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1339, 661, 15, 459])).
% 1.53/1.74 tff(1341,plain,
% 1.53/1.74 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1340, 1333, 4, 494])).
% 1.53/1.74 tff(1342,plain,
% 1.53/1.74 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[892, 1341, 494, 1332])).
% 1.53/1.74 tff(1343,assumption,(~ssPv1(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.53/1.74 tff(1344,plain,
% 1.53/1.74 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[511, 492, 494, 1343])).
% 1.53/1.74 tff(1345,plain,
% 1.53/1.74 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[838, 1341, 1344, 721])).
% 1.53/1.74 tff(1346,plain,
% 1.53/1.74 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[632, 1341, 494, 1343])).
% 1.53/1.74 tff(1347,plain,
% 1.53/1.74 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[865, 1346, 1343, 1344])).
% 1.53/1.74 tff(1348,plain,
% 1.53/1.74 ($false),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[545, 1347, 1345, 1343, 1342])).
% 1.53/1.74 tff(1349,plain,(ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.74 tff(1350,plain,
% 1.53/1.74 (ssPv1(skf1(skf1(elem!0)))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1349, 1314, 1312, 1242, 4])).
% 1.53/1.74 tff(1351,plain,
% 1.53/1.74 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1307, 1350, 4, 1242])).
% 1.53/1.74 tff(1352,plain,
% 1.53/1.74 ($false),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1104, 1351, 1350, 3, 1313])).
% 1.53/1.74 tff(1353,plain,(ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.74 tff(1354,plain,
% 1.53/1.74 (ssPv2(skf1(skf1(elem!0)))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1353, 3])).
% 1.53/1.74 tff(1355,plain,
% 1.53/1.74 (ssPv4(skf1(elem!0))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1031, 1, 969, 1073])).
% 1.53/1.74 tff(1356,plain,
% 1.53/1.74 ($false),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[311, 1355, 1, 1354, 3])).
% 1.53/1.74 tff(1357,plain,(ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.74 tff(1358,plain,
% 1.53/1.74 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1357, 3])).
% 1.53/1.74 tff(1359,plain,
% 1.53/1.74 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1132, 1358, 3, 969])).
% 1.53/1.74 tff(1360,plain,
% 1.53/1.74 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[529, 1344, 494, 5])).
% 1.53/1.74 tff(1361,plain,
% 1.53/1.74 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[519, 1344, 493, 492])).
% 1.53/1.74 tff(1362,plain,
% 1.53/1.74 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[537, 1361, 1343, 1344])).
% 1.53/1.74 tff(1363,plain,
% 1.53/1.74 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[650, 1362, 5, 494])).
% 1.53/1.74 tff(1364,plain,
% 1.53/1.74 (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[545, 1362, 1343, 1360])).
% 1.53/1.74 tff(1365,plain,
% 1.53/1.74 (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[582, 1364, 1344, 1361])).
% 1.53/1.74 tff(1366,plain,
% 1.53/1.74 ($false),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[574, 1365, 1363, 1361, 1360])).
% 1.53/1.74 tff(1367,plain,(ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.74 tff(1368,plain,
% 1.53/1.74 (ssPv1(skf1(skf1(elem!0)))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1367, 5, 1358, 1359, 1354])).
% 1.53/1.74 tff(1369,plain,
% 1.53/1.74 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[624, 1368, 3, 1354, 1358])).
% 1.53/1.74 tff(1370,plain,
% 1.53/1.74 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[632, 1369, 1358, 1359])).
% 1.53/1.74 tff(1371,plain,
% 1.53/1.74 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[686, 1370, 5, 1358, 1369])).
% 1.53/1.74 tff(1372,plain,
% 1.53/1.74 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(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(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.74 inference(rewrite,[status(thm)],[])).
% 1.53/1.74 tff(1373,plain,
% 1.53/1.74 ((ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(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))))) | (~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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.74 inference(rewrite,[status(thm)],[])).
% 1.53/1.74 tff(1374,plain,
% 1.53/1.74 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(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))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.74 inference(monotonicity,[status(thm)],[1373])).
% 1.53/1.74 tff(1375,plain,
% 1.53/1.74 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(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))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.74 inference(transitivity,[status(thm)],[1374, 1372])).
% 1.53/1.74 tff(1376,plain,
% 1.53/1.74 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(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))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(quant_inst,[status(thm)],[])).
% 1.53/1.74 tff(1377,plain,
% 1.53/1.74 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(modus_ponens,[status(thm)],[1376, 1375])).
% 1.53/1.74 tff(1378,plain,
% 1.53/1.74 ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1377, 1206, 459, 522])).
% 1.53/1.74 tff(1379,plain,
% 1.53/1.74 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1378, 1370, 1358, 1371])).
% 1.53/1.74 tff(1380,plain,
% 1.53/1.74 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1160, 1368, 1358, 3, 5])).
% 1.53/1.74 tff(1381,plain,
% 1.53/1.74 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1104, 1380, 3, 1368])).
% 1.53/1.74 tff(1382,plain,
% 1.53/1.74 (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.74 inference(unit_resolution,[status(thm)],[1239, 1381, 5, 1370])).
% 1.53/1.75 tff(1383,plain,
% 1.53/1.75 ($false),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[1221, 1382, 1379, 1359, 1371])).
% 1.53/1.75 tff(1384,plain,(ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.75 tff(1385,plain,
% 1.53/1.75 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[1384, 3])).
% 1.53/1.75 tff(1386,plain,
% 1.53/1.75 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[800, 1344, 721, 492])).
% 1.53/1.75 tff(1387,plain,
% 1.53/1.75 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(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) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.75 inference(rewrite,[status(thm)],[])).
% 1.53/1.75 tff(1388,plain,
% 1.53/1.75 ((ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), 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(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(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)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.75 inference(rewrite,[status(thm)],[])).
% 1.53/1.75 tff(1389,plain,
% 1.53/1.75 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), 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(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) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.75 inference(monotonicity,[status(thm)],[1388])).
% 1.53/1.75 tff(1390,plain,
% 1.53/1.75 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), 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(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) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.75 inference(transitivity,[status(thm)],[1389, 1387])).
% 1.53/1.75 tff(1391,plain,
% 1.53/1.75 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), 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(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.75 inference(quant_inst,[status(thm)],[])).
% 1.53/1.75 tff(1392,plain,
% 1.53/1.75 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.75 inference(modus_ponens,[status(thm)],[1391, 1390])).
% 1.53/1.75 tff(1393,plain,
% 1.53/1.75 (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[1392, 66, 15, 459])).
% 1.53/1.75 tff(1394,plain,
% 1.53/1.75 (ssPv4(skf1(skf1(elem!0)))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[1393, 1361, 1344, 1343])).
% 1.53/1.75 tff(1395,plain,
% 1.53/1.75 ($false),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[791, 1394, 1386, 494, 492])).
% 1.53/1.75 tff(1396,plain,(ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.75 tff(1397,plain,
% 1.53/1.75 (ssPv1(skf1(skf1(elem!0)))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[1396, 1358, 1359, 1385, 1354])).
% 1.53/1.75 tff(1398,plain,
% 1.53/1.75 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[624, 1397, 3, 1354, 1358])).
% 1.53/1.75 tff(1399,plain,
% 1.53/1.75 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[830, 1397, 1385, 1358])).
% 1.53/1.75 tff(1400,plain,
% 1.53/1.75 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[838, 1398, 1399, 1385])).
% 1.53/1.75 tff(1401,plain,
% 1.53/1.75 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[632, 1398, 1358, 1359])).
% 1.53/1.75 tff(1402,plain,
% 1.53/1.75 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[865, 1401, 1359, 1399])).
% 1.53/1.75 tff(1403,plain,
% 1.53/1.75 (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[545, 1402, 1359, 1400])).
% 1.53/1.75 tff(1404,plain,
% 1.53/1.75 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[892, 1403, 1358, 1398])).
% 1.53/1.75 tff(1405,plain,
% 1.53/1.75 (~ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[1378, 1403, 1358, 1401])).
% 1.53/1.75 tff(1406,plain,
% 1.53/1.75 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[884, 1405, 1358, 1403])).
% 1.53/1.75 tff(1407,plain,
% 1.53/1.75 (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[925, 1406, 1401, 1402, 1400, 1404])).
% 1.53/1.75 tff(1408,plain,
% 1.53/1.75 (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[933, 1407, 1398, 1400])).
% 1.53/1.75 tff(1409,plain,
% 1.53/1.75 (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[923, 1408, 1400, 1402])).
% 1.53/1.75 tff(1410,plain,
% 1.53/1.75 (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[942, 1409, 1401, 1400])).
% 1.53/1.75 tff(1411,plain,
% 1.53/1.75 (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[950, 1407, 1401, 1403])).
% 1.53/1.75 tff(1412,plain,
% 1.53/1.75 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[958, 1410, 1403, 1411])).
% 1.53/1.75 tff(1413,plain,
% 1.53/1.75 ($false),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[966, 1412, 1410, 1403, 1407])).
% 1.53/1.75 tff(1414,plain,(ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.75 tff(1415,plain,
% 1.53/1.75 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(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] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.75 inference(rewrite,[status(thm)],[])).
% 1.53/1.75 tff(1416,plain,
% 1.53/1.75 (((~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))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.75 inference(rewrite,[status(thm)],[])).
% 1.53/1.75 tff(1417,plain,
% 1.53/1.75 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(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)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv3(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)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.75 inference(monotonicity,[status(thm)],[1416])).
% 1.53/1.75 tff(1418,plain,
% 1.53/1.75 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(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)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv3(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)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.75 inference(transitivity,[status(thm)],[1417, 1415])).
% 1.53/1.75 tff(1419,plain,
% 1.53/1.75 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(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)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.75 inference(quant_inst,[status(thm)],[])).
% 1.53/1.75 tff(1420,plain,
% 1.53/1.75 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.75 inference(modus_ponens,[status(thm)],[1419, 1418])).
% 1.53/1.75 tff(1421,plain,
% 1.53/1.75 ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[1420, 142, 15, 459])).
% 1.53/1.75 tff(1422,plain,
% 1.53/1.75 ($false),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[1421, 1245, 2, 1414, 1])).
% 1.53/1.75 tff(1423,plain,(ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.75 tff(1424,plain,
% 1.53/1.75 (~ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[1423, 2, 1])).
% 1.53/1.75 tff(1425,plain,
% 1.53/1.75 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(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(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.53/1.75 inference(rewrite,[status(thm)],[])).
% 1.53/1.75 tff(1426,plain,
% 1.53/1.75 ((ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(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))))) <=> (ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.53/1.75 inference(rewrite,[status(thm)],[])).
% 1.53/1.75 tff(1427,plain,
% 1.53/1.75 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(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)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.75 inference(monotonicity,[status(thm)],[1426])).
% 1.53/1.75 tff(1428,plain,
% 1.53/1.75 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(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)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.53/1.75 inference(transitivity,[status(thm)],[1427, 1425])).
% 1.53/1.75 tff(1429,plain,
% 1.53/1.75 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(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)))))),
% 1.53/1.75 inference(quant_inst,[status(thm)],[])).
% 1.53/1.75 tff(1430,plain,
% 1.53/1.75 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.53/1.75 inference(modus_ponens,[status(thm)],[1429, 1428])).
% 1.53/1.75 tff(1431,plain,
% 1.53/1.75 (ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0)))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[1430, 755, 17, 15])).
% 1.53/1.75 tff(1432,plain,
% 1.53/1.75 (ssPv4(skf1(elem!0))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[1431, 547, 1414, 4])).
% 1.53/1.75 tff(1433,plain,
% 1.53/1.75 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | (ssPv1(skf1(elem!0)) | (~ssPv3(skf1(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))))) | ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(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))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.75 inference(rewrite,[status(thm)],[])).
% 1.53/1.75 tff(1434,plain,
% 1.53/1.75 (((~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)))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0)))) <=> (ssPv1(skf1(elem!0)) | (~ssPv3(skf1(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))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.75 inference(rewrite,[status(thm)],[])).
% 1.53/1.75 tff(1435,plain,
% 1.53/1.75 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~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)))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | (ssPv1(skf1(elem!0)) | (~ssPv3(skf1(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))))) | ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.75 inference(monotonicity,[status(thm)],[1434])).
% 1.53/1.75 tff(1436,plain,
% 1.53/1.75 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~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)))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(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))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.75 inference(transitivity,[status(thm)],[1435, 1433])).
% 1.53/1.75 tff(1437,plain,
% 1.53/1.75 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~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)))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))),
% 1.53/1.75 inference(quant_inst,[status(thm)],[])).
% 1.53/1.75 tff(1438,plain,
% 1.53/1.75 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.53/1.75 inference(modus_ponens,[status(thm)],[1437, 1436])).
% 1.53/1.75 tff(1439,plain,
% 1.53/1.75 (ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[1438, 404, 17, 15])).
% 1.53/1.75 tff(1440,plain,
% 1.53/1.75 (ssPv1(skf1(elem!0))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[1439, 1432, 1414, 5])).
% 1.53/1.75 tff(1441,plain,
% 1.53/1.75 ($false),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[1061, 1440, 1432, 1, 547])).
% 1.53/1.75 tff(1442,plain,(ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.75 tff(1443,plain,
% 1.53/1.75 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[1442, 4, 5, 1])).
% 1.53/1.75 tff(1444,plain,
% 1.53/1.75 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | ((~ssPv3(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))))) | ssPv2(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(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (~ssPv3(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))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.75 inference(rewrite,[status(thm)],[])).
% 1.53/1.75 tff(1445,plain,
% 1.53/1.75 ((ssPv2(skf1(skf1(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(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(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)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.75 inference(rewrite,[status(thm)],[])).
% 1.53/1.75 tff(1446,plain,
% 1.53/1.75 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(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(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | ((~ssPv3(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))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.75 inference(monotonicity,[status(thm)],[1445])).
% 1.53/1.75 tff(1447,plain,
% 1.53/1.75 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(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(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (~ssPv3(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))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.75 inference(transitivity,[status(thm)],[1446, 1444])).
% 1.53/1.75 tff(1448,plain,
% 1.53/1.75 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(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(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.53/1.75 inference(quant_inst,[status(thm)],[])).
% 1.53/1.75 tff(1449,plain,
% 1.53/1.75 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (~ssPv3(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))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.75 inference(modus_ponens,[status(thm)],[1448, 1447])).
% 1.53/1.75 tff(1450,plain,
% 1.53/1.75 ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[1449, 322, 15, 459])).
% 1.53/1.75 tff(1451,plain,
% 1.53/1.75 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[1450, 1443, 1414, 5])).
% 1.53/1.75 tff(1452,plain,
% 1.53/1.75 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.75 inference(unit_resolution,[status(thm)],[1169, 1451, 4, 5])).
% 1.53/1.75 tff(1453,plain,
% 1.53/1.75 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(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))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(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))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))))))),
% 1.53/1.75 inference(rewrite,[status(thm)],[])).
% 1.53/1.75 tff(1454,plain,
% 1.53/1.75 ((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)))))) | (~ssPv2(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)))))) | ssPv1(skf1(skf1(elem!0)))) <=> (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))))))),
% 1.53/1.75 inference(rewrite,[status(thm)],[])).
% 1.53/1.75 tff(1455,plain,
% 1.53/1.75 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (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)))))) | (~ssPv2(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)))))) | ssPv1(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(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))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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))))))))),
% 1.53/1.75 inference(monotonicity,[status(thm)],[1454])).
% 1.53/1.75 tff(1456,plain,
% 1.53/1.75 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (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)))))) | (~ssPv2(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)))))) | ssPv1(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(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))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))))))),
% 1.53/1.75 inference(transitivity,[status(thm)],[1455, 1453])).
% 1.53/1.75 tff(1457,plain,
% 1.53/1.75 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (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)))))) | (~ssPv2(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)))))) | ssPv1(skf1(skf1(elem!0))))),
% 1.53/1.76 inference(quant_inst,[status(thm)],[])).
% 1.53/1.76 tff(1458,plain,
% 1.53/1.76 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.76 inference(modus_ponens,[status(thm)],[1457, 1456])).
% 1.53/1.76 tff(1459,plain,
% 1.53/1.76 (ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[1458, 340, 15, 459])).
% 1.53/1.76 tff(1460,plain,
% 1.53/1.76 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[1459, 492, 1451, 1452])).
% 1.53/1.76 tff(1461,plain,
% 1.53/1.76 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[997, 492, 5, 4])).
% 1.53/1.76 tff(1462,plain,
% 1.53/1.76 (ssPv4(skf1(skf1(elem!0)))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[1005, 1461, 1, 1443])).
% 1.53/1.76 tff(1463,plain,
% 1.53/1.76 ($false),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[1086, 1462, 1460, 1, 1443])).
% 1.53/1.76 tff(1464,plain,(ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.76 tff(1465,plain,
% 1.53/1.76 (ssPv1(skf1(skf1(elem!0)))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[1464, 4, 5, 1])).
% 1.53/1.76 tff(1466,plain,
% 1.53/1.76 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[1423, 1443, 1])).
% 1.53/1.76 tff(1467,plain,
% 1.53/1.76 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[987, 1466, 5, 4])).
% 1.53/1.76 tff(1468,plain,
% 1.53/1.76 (ssPv4(skf1(skf1(elem!0)))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[1005, 1467, 1, 1443])).
% 1.53/1.76 tff(1469,assumption,(~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.53/1.76 tff(1470,plain,
% 1.53/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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(skf1(elem!0))))))))),
% 1.53/1.76 inference(rewrite,[status(thm)],[])).
% 1.53/1.76 tff(1471,plain,
% 1.53/1.76 ((ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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(skf1(elem!0))))))))),
% 1.53/1.76 inference(rewrite,[status(thm)],[])).
% 1.53/1.76 tff(1472,plain,
% 1.53/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(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))))))) | (~ssPv3(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(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)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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(skf1(elem!0)))))))))),
% 1.53/1.76 inference(monotonicity,[status(thm)],[1471])).
% 1.53/1.76 tff(1473,plain,
% 1.53/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(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))))))) | (~ssPv3(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(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)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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(skf1(elem!0))))))))),
% 1.53/1.76 inference(transitivity,[status(thm)],[1472, 1470])).
% 1.53/1.76 tff(1474,plain,
% 1.53/1.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(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))))))) | (~ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.76 inference(quant_inst,[status(thm)],[])).
% 1.53/1.76 tff(1475,plain,
% 1.53/1.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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(skf1(elem!0)))))))),
% 1.53/1.76 inference(modus_ponens,[status(thm)],[1474, 1473])).
% 1.53/1.76 tff(1476,plain,
% 1.53/1.76 (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[1475, 504, 459, 522])).
% 1.53/1.76 tff(1477,plain,
% 1.53/1.76 (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[1476, 1343, 1469, 1250])).
% 1.53/1.76 tff(1478,plain,
% 1.53/1.76 (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[1221, 1477, 1343, 1243])).
% 1.53/1.76 tff(1479,plain,
% 1.53/1.76 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(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] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.76 inference(rewrite,[status(thm)],[])).
% 1.53/1.76 tff(1480,plain,
% 1.53/1.76 ((ssPv2(skf1(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))))))) | 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(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)))) | ssPv1(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(skf1(skf1(elem!0)))))))),
% 1.53/1.76 inference(rewrite,[status(thm)],[])).
% 1.53/1.76 tff(1481,plain,
% 1.53/1.76 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(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(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(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) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.76 inference(monotonicity,[status(thm)],[1480])).
% 1.53/1.76 tff(1482,plain,
% 1.53/1.76 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(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(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(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) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.76 inference(transitivity,[status(thm)],[1481, 1479])).
% 1.53/1.76 tff(1483,plain,
% 1.53/1.76 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(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(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(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))))))))),
% 1.53/1.76 inference(quant_inst,[status(thm)],[])).
% 1.53/1.76 tff(1484,plain,
% 1.53/1.76 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.76 inference(modus_ponens,[status(thm)],[1483, 1482])).
% 1.53/1.76 tff(1485,plain,
% 1.53/1.76 (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[1484, 66, 459, 522])).
% 1.53/1.76 tff(1486,plain,
% 1.53/1.76 ($false),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[1485, 1478, 1477, 5, 1469])).
% 1.53/1.76 tff(1487,plain,(ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.76 tff(1488,plain,
% 1.53/1.76 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[1487, 1452, 5, 1443, 1466])).
% 1.53/1.76 tff(1489,plain,
% 1.53/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(elem!0)) | (~ssPv3(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] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(elem!0)) | (~ssPv3(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))))))),
% 1.53/1.76 inference(rewrite,[status(thm)],[])).
% 1.53/1.76 tff(1490,plain,
% 1.53/1.76 (((~ssPv1(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)))) | ssPv2(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0))))) <=> (ssPv2(skf1(elem!0)) | (~ssPv3(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))))))),
% 1.53/1.76 inference(rewrite,[status(thm)],[])).
% 1.53/1.76 tff(1491,plain,
% 1.53/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(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)))) | ssPv2(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(elem!0)) | (~ssPv3(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)))))))),
% 1.53/1.76 inference(monotonicity,[status(thm)],[1490])).
% 1.53/1.76 tff(1492,plain,
% 1.53/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(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)))) | ssPv2(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(elem!0)) | (~ssPv3(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))))))),
% 1.53/1.76 inference(transitivity,[status(thm)],[1491, 1489])).
% 1.53/1.76 tff(1493,plain,
% 1.53/1.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(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)))) | ssPv2(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.53/1.76 inference(quant_inst,[status(thm)],[])).
% 1.53/1.76 tff(1494,plain,
% 1.53/1.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(elem!0)) | (~ssPv3(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)))))),
% 1.53/1.76 inference(modus_ponens,[status(thm)],[1493, 1492])).
% 1.53/1.76 tff(1495,plain,
% 1.53/1.76 (ssPv2(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[1494, 469, 17, 15])).
% 1.53/1.76 tff(1496,plain,
% 1.53/1.76 (ssPv2(skf1(elem!0))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[1495, 1488, 1414, 1468])).
% 1.53/1.76 tff(1497,plain,
% 1.53/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (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))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | 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))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.76 inference(rewrite,[status(thm)],[])).
% 1.53/1.76 tff(1498,plain,
% 1.53/1.76 ((ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(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))))) | (~ssPv2(skf1(elem!0))) | (~ssPv2(skf1(skf1(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))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.76 inference(rewrite,[status(thm)],[])).
% 1.53/1.76 tff(1499,plain,
% 1.53/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(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))))) | (~ssPv2(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (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))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.76 inference(monotonicity,[status(thm)],[1498])).
% 1.53/1.76 tff(1500,plain,
% 1.53/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(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))))) | (~ssPv2(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | 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))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.76 inference(transitivity,[status(thm)],[1499, 1497])).
% 1.53/1.76 tff(1501,plain,
% 1.53/1.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(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))))) | (~ssPv2(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.76 inference(quant_inst,[status(thm)],[])).
% 1.53/1.76 tff(1502,plain,
% 1.53/1.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | 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))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.76 inference(modus_ponens,[status(thm)],[1501, 1500])).
% 1.53/1.76 tff(1503,plain,
% 1.53/1.76 (ssPv1(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[1502, 122, 17, 15])).
% 1.53/1.76 tff(1504,plain,
% 1.53/1.76 (ssPv1(skf1(elem!0))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[1503, 1496, 1, 1443])).
% 1.53/1.76 tff(1505,plain,
% 1.53/1.76 (ssPv4(skf1(elem!0))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[1031, 1504, 1, 1443])).
% 1.53/1.76 tff(1506,plain,
% 1.53/1.76 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(skf1(elem!0)) | (~ssPv1(skf1(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, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | ssPv3(skf1(elem!0)) | (~ssPv1(skf1(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))))))),
% 1.53/1.76 inference(rewrite,[status(thm)],[])).
% 1.53/1.76 tff(1507,plain,
% 1.53/1.76 ((ssPv3(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(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))) <=> (ssPv3(skf1(elem!0)) | (~ssPv1(skf1(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))))))),
% 1.53/1.76 inference(rewrite,[status(thm)],[])).
% 1.53/1.76 tff(1508,plain,
% 1.53/1.76 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(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(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(skf1(elem!0)) | (~ssPv1(skf1(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)))))))),
% 1.53/1.76 inference(monotonicity,[status(thm)],[1507])).
% 1.53/1.76 tff(1509,plain,
% 1.53/1.76 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(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(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | ssPv3(skf1(elem!0)) | (~ssPv1(skf1(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))))))),
% 1.53/1.76 inference(transitivity,[status(thm)],[1508, 1506])).
% 1.53/1.76 tff(1510,plain,
% 1.53/1.76 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(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(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.76 inference(quant_inst,[status(thm)],[])).
% 1.53/1.76 tff(1511,plain,
% 1.53/1.76 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | ssPv3(skf1(elem!0)) | (~ssPv1(skf1(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)))))),
% 1.53/1.76 inference(modus_ponens,[status(thm)],[1510, 1509])).
% 1.53/1.76 tff(1512,plain,
% 1.53/1.76 (ssPv3(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[1511, 849, 17, 15])).
% 1.53/1.76 tff(1513,plain,
% 1.53/1.76 (ssPv3(skf1(elem!0))),
% 1.53/1.76 inference(unit_resolution,[status(thm)],[1512, 1505, 1465, 1443])).
% 1.53/1.76 tff(1514,plain,
% 1.53/1.76 (((~![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)) | (~ssPv2(W)))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv2(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)) | (~ssPv2(W)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv2(elem!0)))),
% 1.53/1.76 inference(rewrite,[status(thm)],[])).
% 1.53/1.76 tff(1515,plain,
% 1.53/1.76 ((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)))) | (~ssPv2(elem!0))) <=> ((~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv2(elem!0)))),
% 1.53/1.76 inference(rewrite,[status(thm)],[])).
% 1.53/1.76 tff(1516,plain,
% 1.53/1.76 (((~![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)) | (~ssPv2(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)))) | (~ssPv2(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)) | (~ssPv2(W)))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv2(elem!0))))),
% 1.53/1.76 inference(monotonicity,[status(thm)],[1515])).
% 1.53/1.76 tff(1517,plain,
% 1.53/1.76 (((~![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)) | (~ssPv2(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)))) | (~ssPv2(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)) | (~ssPv2(W)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv2(elem!0)))),
% 1.53/1.76 inference(transitivity,[status(thm)],[1516, 1514])).
% 1.53/1.76 tff(1518,plain,
% 1.53/1.76 ((~![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)) | (~ssPv2(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)))) | (~ssPv2(elem!0)))),
% 1.53/1.76 inference(quant_inst,[status(thm)],[])).
% 1.53/1.76 tff(1519,plain,
% 1.53/1.76 ((~![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)) | (~ssPv2(W)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv2(elem!0))),
% 1.53/1.77 inference(modus_ponens,[status(thm)],[1518, 1517])).
% 1.53/1.77 tff(1520,plain,
% 1.53/1.77 ((~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv2(elem!0))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1519, 597, 38, 17])).
% 1.53/1.77 tff(1521,plain,
% 1.53/1.77 (~ssPv2(elem!0)),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1520, 1513, 1414, 4])).
% 1.53/1.77 tff(1522,plain,
% 1.53/1.77 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))),
% 1.53/1.77 inference(rewrite,[status(thm)],[])).
% 1.53/1.77 tff(1523,plain,
% 1.53/1.77 (((~ssPv1(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))) | ssPv2(elem!0) | (~ssPv3(skf1(elem!0)))) <=> (ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))),
% 1.53/1.77 inference(rewrite,[status(thm)],[])).
% 1.53/1.77 tff(1524,plain,
% 1.53/1.77 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(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))) | ssPv2(elem!0) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0)))))),
% 1.53/1.77 inference(monotonicity,[status(thm)],[1523])).
% 1.53/1.77 tff(1525,plain,
% 1.53/1.77 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(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))) | ssPv2(elem!0) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))),
% 1.53/1.77 inference(transitivity,[status(thm)],[1524, 1522])).
% 1.53/1.77 tff(1526,plain,
% 1.53/1.77 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(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))) | ssPv2(elem!0) | (~ssPv3(skf1(elem!0))))),
% 1.53/1.77 inference(quant_inst,[status(thm)],[])).
% 1.53/1.77 tff(1527,plain,
% 1.53/1.77 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0)))),
% 1.53/1.77 inference(modus_ponens,[status(thm)],[1526, 1525])).
% 1.53/1.77 tff(1528,plain,
% 1.53/1.77 (ssPv2(elem!0) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0)))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1527, 469, 38, 17])).
% 1.53/1.77 tff(1529,plain,
% 1.53/1.77 ($false),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1528, 1521, 1513, 1505, 1465])).
% 1.53/1.77 tff(1530,plain,(ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.77 tff(1531,plain,
% 1.53/1.77 (ssPv2(skf1(skf1(elem!0)))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1530, 5, 1])).
% 1.53/1.77 tff(1532,assumption,(ssPv4(skf1(elem!0))), introduced(assumption)).
% 1.53/1.77 tff(1533,plain,
% 1.53/1.77 (ssPv1(skf1(elem!0))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1439, 1532, 1414, 5])).
% 1.53/1.77 tff(1534,plain,
% 1.53/1.77 ($false),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1061, 1533, 1532, 1, 547])).
% 1.53/1.77 tff(1535,plain,((~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.77 tff(1536,plain,
% 1.53/1.77 (~ssPv4(skf1(elem!0))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1535, 1424, 1, 5])).
% 1.53/1.77 tff(1537,plain,
% 1.53/1.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(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))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(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))))))),
% 1.53/1.77 inference(rewrite,[status(thm)],[])).
% 1.53/1.77 tff(1538,plain,
% 1.53/1.77 ((ssPv2(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))))) | ssPv4(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)) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(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))))))),
% 1.53/1.77 inference(rewrite,[status(thm)],[])).
% 1.53/1.77 tff(1539,plain,
% 1.53/1.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(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))))) | ssPv4(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) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(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)))))))),
% 1.53/1.77 inference(monotonicity,[status(thm)],[1538])).
% 1.53/1.77 tff(1540,plain,
% 1.53/1.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(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))))) | ssPv4(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) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(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))))))),
% 1.53/1.77 inference(transitivity,[status(thm)],[1539, 1537])).
% 1.53/1.77 tff(1541,plain,
% 1.53/1.77 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(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))))) | ssPv4(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))))))),
% 1.53/1.77 inference(quant_inst,[status(thm)],[])).
% 1.53/1.77 tff(1542,plain,
% 1.53/1.77 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(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)))))),
% 1.53/1.77 inference(modus_ponens,[status(thm)],[1541, 1540])).
% 1.53/1.77 tff(1543,plain,
% 1.53/1.77 (ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1542, 66, 17, 15])).
% 1.53/1.77 tff(1544,plain,
% 1.53/1.77 (ssPv1(skf1(skf1(elem!0)))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1543, 1536, 1, 1424])).
% 1.53/1.77 tff(1545,plain,
% 1.53/1.77 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv4(skf1(elem!0)) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.53/1.77 inference(rewrite,[status(thm)],[])).
% 1.53/1.77 tff(1546,plain,
% 1.53/1.77 ((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))))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0))))) <=> (ssPv4(skf1(elem!0)) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.53/1.77 inference(rewrite,[status(thm)],[])).
% 1.53/1.77 tff(1547,plain,
% 1.53/1.77 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (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))))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv4(skf1(elem!0)) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.77 inference(monotonicity,[status(thm)],[1546])).
% 1.53/1.77 tff(1548,plain,
% 1.53/1.77 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (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))))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.53/1.77 inference(transitivity,[status(thm)],[1547, 1545])).
% 1.53/1.77 tff(1549,plain,
% 1.53/1.77 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (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))))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.53/1.77 inference(quant_inst,[status(thm)],[])).
% 1.53/1.77 tff(1550,plain,
% 1.53/1.77 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.53/1.77 inference(modus_ponens,[status(thm)],[1549, 1548])).
% 1.53/1.77 tff(1551,plain,
% 1.53/1.77 (ssPv4(skf1(elem!0)) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0))))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1550, 661, 17, 15])).
% 1.53/1.77 tff(1552,plain,
% 1.53/1.77 (ssPv2(skf1(elem!0))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1551, 1536, 1414, 1424])).
% 1.53/1.77 tff(1553,plain,
% 1.53/1.77 (~ssPv3(skf1(elem!0))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1213, 1552, 5, 1424])).
% 1.53/1.77 tff(1554,plain,
% 1.53/1.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | ((~ssPv1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(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] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (~ssPv1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.53/1.77 inference(rewrite,[status(thm)],[])).
% 1.53/1.77 tff(1555,plain,
% 1.53/1.77 ((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)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0))) <=> ((~ssPv1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.53/1.77 inference(rewrite,[status(thm)],[])).
% 1.53/1.77 tff(1556,plain,
% 1.53/1.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (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)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | ((~ssPv1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.53/1.77 inference(monotonicity,[status(thm)],[1555])).
% 1.53/1.77 tff(1557,plain,
% 1.53/1.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (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)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (~ssPv1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.53/1.77 inference(transitivity,[status(thm)],[1556, 1554])).
% 1.53/1.77 tff(1558,plain,
% 1.53/1.77 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (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)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)))),
% 1.53/1.77 inference(quant_inst,[status(thm)],[])).
% 1.53/1.77 tff(1559,plain,
% 1.53/1.77 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (~ssPv1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.53/1.77 inference(modus_ponens,[status(thm)],[1558, 1557])).
% 1.53/1.77 tff(1560,plain,
% 1.53/1.77 ((~ssPv1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0))))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1559, 1115, 38, 17])).
% 1.53/1.77 tff(1561,plain,
% 1.53/1.77 (~ssPv1(elem!0)),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1560, 1553, 1414, 1544])).
% 1.53/1.77 tff(1562,plain,
% 1.53/1.77 (ssPv4(skf1(skf1(elem!0)))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1421, 2, 1414, 1])).
% 1.53/1.77 tff(1563,plain,
% 1.53/1.77 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssPv3(elem!0)) | ssPv1(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] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssPv3(elem!0)) | ssPv1(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)))))),
% 1.53/1.77 inference(rewrite,[status(thm)],[])).
% 1.53/1.77 tff(1564,plain,
% 1.53/1.77 (((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | ssPv1(elem!0) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0))))) <=> ((~ssPv3(elem!0)) | ssPv1(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)))))),
% 1.53/1.77 inference(rewrite,[status(thm)],[])).
% 1.53/1.77 tff(1565,plain,
% 1.53/1.77 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | ssPv1(elem!0) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssPv3(elem!0)) | ssPv1(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))))))),
% 1.53/1.77 inference(monotonicity,[status(thm)],[1564])).
% 1.53/1.77 tff(1566,plain,
% 1.53/1.77 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | ssPv1(elem!0) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssPv3(elem!0)) | ssPv1(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)))))),
% 1.53/1.77 inference(transitivity,[status(thm)],[1565, 1563])).
% 1.53/1.77 tff(1567,plain,
% 1.53/1.77 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | ssPv1(elem!0) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.53/1.77 inference(quant_inst,[status(thm)],[])).
% 1.53/1.77 tff(1568,plain,
% 1.53/1.77 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssPv3(elem!0)) | ssPv1(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))))),
% 1.53/1.77 inference(modus_ponens,[status(thm)],[1567, 1566])).
% 1.53/1.77 tff(1569,plain,
% 1.53/1.77 ((~ssPv3(elem!0)) | ssPv1(elem!0) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0))))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1568, 235, 38, 17])).
% 1.53/1.77 tff(1570,plain,
% 1.53/1.77 (~ssPv3(elem!0)),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1569, 1561, 1552, 1562])).
% 1.53/1.77 tff(1571,plain,
% 1.53/1.77 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(elem!0) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(elem!0) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.53/1.77 inference(rewrite,[status(thm)],[])).
% 1.53/1.77 tff(1572,plain,
% 1.53/1.77 (((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv3(elem!0) | ssPv1(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) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.53/1.77 inference(rewrite,[status(thm)],[])).
% 1.53/1.77 tff(1573,plain,
% 1.53/1.77 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv3(elem!0) | ssPv1(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)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(elem!0) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.53/1.77 inference(monotonicity,[status(thm)],[1572])).
% 1.53/1.77 tff(1574,plain,
% 1.53/1.77 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv3(elem!0) | ssPv1(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)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(elem!0) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.53/1.77 inference(transitivity,[status(thm)],[1573, 1571])).
% 1.53/1.77 tff(1575,plain,
% 1.53/1.77 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv3(elem!0) | ssPv1(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)))))),
% 1.53/1.77 inference(quant_inst,[status(thm)],[])).
% 1.53/1.77 tff(1576,plain,
% 1.53/1.77 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(elem!0) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.53/1.77 inference(modus_ponens,[status(thm)],[1575, 1574])).
% 1.53/1.77 tff(1577,plain,
% 1.53/1.77 (ssPv3(elem!0) | ssPv1(elem!0) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0))))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1576, 709, 38, 17])).
% 1.53/1.77 tff(1578,plain,
% 1.53/1.77 ($false),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1577, 1570, 1561, 1414, 1531])).
% 1.53/1.77 tff(1579,plain,(ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.53/1.77 tff(1580,plain,
% 1.53/1.77 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1579, 5, 1])).
% 1.53/1.77 tff(1581,plain,
% 1.53/1.77 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[668, 547, 1580, 5])).
% 1.53/1.77 tff(1582,plain,
% 1.53/1.77 (~ssPv4(skf1(elem!0))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1535, 547, 1, 5])).
% 1.53/1.77 tff(1583,plain,
% 1.53/1.77 (ssPv1(skf1(skf1(elem!0)))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1543, 1582, 1, 547])).
% 1.53/1.77 tff(1584,plain,
% 1.53/1.77 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.77 inference(unit_resolution,[status(thm)],[1122, 1583, 1, 1580])).
% 1.53/1.77 tff(1585,plain,
% 1.53/1.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), 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] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.77 inference(rewrite,[status(thm)],[])).
% 1.53/1.77 tff(1586,plain,
% 1.53/1.77 ((ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv2(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(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.78 inference(rewrite,[status(thm)],[])).
% 1.53/1.78 tff(1587,plain,
% 1.53/1.78 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv2(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(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) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.53/1.78 inference(monotonicity,[status(thm)],[1586])).
% 1.53/1.78 tff(1588,plain,
% 1.53/1.78 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv2(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(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) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.53/1.78 inference(transitivity,[status(thm)],[1587, 1585])).
% 1.53/1.78 tff(1589,plain,
% 1.53/1.78 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv2(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(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.53/1.78 inference(quant_inst,[status(thm)],[])).
% 1.53/1.78 tff(1590,plain,
% 1.53/1.78 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.53/1.78 inference(modus_ponens,[status(thm)],[1589, 1588])).
% 1.53/1.78 tff(1591,plain,
% 1.53/1.78 (ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[1590, 1044, 17, 15])).
% 1.53/1.78 tff(1592,plain,
% 1.53/1.78 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.53/1.78 inference(unit_resolution,[status(thm)],[1591, 1582, 1531, 547])).
% 1.53/1.78 tff(1593,plain,
% 1.53/1.78 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(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] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.78 inference(rewrite,[status(thm)],[])).
% 1.53/1.78 tff(1594,plain,
% 1.53/1.78 ((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(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))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(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)))))) | (~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(skf1(skf1(elem!0)))))))),
% 1.53/1.78 inference(rewrite,[status(thm)],[])).
% 1.53/1.78 tff(1595,plain,
% 1.53/1.78 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (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(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))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.53/1.78 inference(monotonicity,[status(thm)],[1594])).
% 1.53/1.78 tff(1596,plain,
% 1.53/1.78 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (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(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))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.53/1.78 inference(transitivity,[status(thm)],[1595, 1593])).
% 1.53/1.78 tff(1597,plain,
% 1.53/1.78 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (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(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))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.78 inference(quant_inst,[status(thm)],[])).
% 1.63/1.78 tff(1598,plain,
% 1.63/1.78 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.78 inference(modus_ponens,[status(thm)],[1597, 1596])).
% 1.63/1.78 tff(1599,plain,
% 1.63/1.78 (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.78 inference(unit_resolution,[status(thm)],[1598, 104, 459, 522])).
% 1.63/1.78 tff(1600,plain,
% 1.63/1.78 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.78 inference(unit_resolution,[status(thm)],[1599, 1592, 5, 1581])).
% 1.63/1.78 tff(1601,plain,
% 1.63/1.78 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(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] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.78 inference(rewrite,[status(thm)],[])).
% 1.63/1.78 tff(1602,plain,
% 1.63/1.78 ((ssPv1(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))))))) | (~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(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)))) | ssPv1(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(skf1(skf1(elem!0))))))))),
% 1.63/1.78 inference(rewrite,[status(thm)],[])).
% 1.63/1.78 tff(1603,plain,
% 1.63/1.78 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(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))))))) | (~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(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] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.63/1.78 inference(monotonicity,[status(thm)],[1602])).
% 1.63/1.78 tff(1604,plain,
% 1.63/1.78 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(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))))))) | (~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(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] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.78 inference(transitivity,[status(thm)],[1603, 1601])).
% 1.63/1.78 tff(1605,plain,
% 1.63/1.78 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(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))))))) | (~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(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))))))))),
% 1.63/1.78 inference(quant_inst,[status(thm)],[])).
% 1.63/1.78 tff(1606,plain,
% 1.63/1.78 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.78 inference(modus_ponens,[status(thm)],[1605, 1604])).
% 1.63/1.78 tff(1607,plain,
% 1.63/1.78 (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.78 inference(unit_resolution,[status(thm)],[1606, 86, 459, 522])).
% 1.63/1.78 tff(1608,plain,
% 1.63/1.78 ($false),
% 1.63/1.78 inference(unit_resolution,[status(thm)],[1607, 1600, 1584, 5, 1581])).
% 1.63/1.78 tff(1609,plain,(ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.78 tff(1610,plain,
% 1.63/1.78 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.63/1.78 inference(unit_resolution,[status(thm)],[1609, 5, 1])).
% 1.63/1.78 tff(1611,plain,
% 1.63/1.78 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.78 inference(unit_resolution,[status(thm)],[1450, 1610, 1414, 5])).
% 1.63/1.78 tff(1612,plain,
% 1.63/1.78 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.78 inference(unit_resolution,[status(thm)],[1459, 492, 1250, 635])).
% 1.63/1.78 tff(1613,plain,
% 1.63/1.78 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(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] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.78 inference(rewrite,[status(thm)],[])).
% 1.63/1.78 tff(1614,plain,
% 1.63/1.78 (((~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)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.78 inference(rewrite,[status(thm)],[])).
% 1.63/1.78 tff(1615,plain,
% 1.63/1.78 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(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)))))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.78 inference(monotonicity,[status(thm)],[1614])).
% 1.63/1.78 tff(1616,plain,
% 1.63/1.78 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(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)))))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.78 inference(transitivity,[status(thm)],[1615, 1613])).
% 1.63/1.78 tff(1617,plain,
% 1.63/1.78 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(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)))))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.78 inference(quant_inst,[status(thm)],[])).
% 1.63/1.78 tff(1618,plain,
% 1.63/1.78 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.78 inference(modus_ponens,[status(thm)],[1617, 1616])).
% 1.63/1.78 tff(1619,plain,
% 1.63/1.78 (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.78 inference(unit_resolution,[status(thm)],[1618, 235, 15, 459])).
% 1.63/1.78 tff(1620,plain,
% 1.63/1.78 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.78 inference(unit_resolution,[status(thm)],[1619, 492, 1414, 1243])).
% 1.63/1.78 tff(1621,plain,
% 1.63/1.78 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(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)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(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)))))))),
% 1.63/1.78 inference(rewrite,[status(thm)],[])).
% 1.63/1.78 tff(1622,plain,
% 1.63/1.78 ((ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(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(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))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(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)))))))),
% 1.63/1.78 inference(rewrite,[status(thm)],[])).
% 1.63/1.78 tff(1623,plain,
% 1.63/1.78 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(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(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] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(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))))))))),
% 1.63/1.78 inference(monotonicity,[status(thm)],[1622])).
% 1.63/1.78 tff(1624,plain,
% 1.63/1.78 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(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(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] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(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)))))))),
% 1.63/1.78 inference(transitivity,[status(thm)],[1623, 1621])).
% 1.63/1.78 tff(1625,plain,
% 1.63/1.78 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(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(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))))),
% 1.63/1.78 inference(quant_inst,[status(thm)],[])).
% 1.63/1.78 tff(1626,plain,
% 1.63/1.78 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.78 inference(modus_ponens,[status(thm)],[1625, 1624])).
% 1.63/1.78 tff(1627,plain,
% 1.63/1.78 (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.78 inference(unit_resolution,[status(thm)],[1626, 179, 15, 459])).
% 1.63/1.78 tff(1628,plain,
% 1.63/1.78 ($false),
% 1.63/1.78 inference(unit_resolution,[status(thm)],[1627, 1620, 1612, 1, 492])).
% 1.63/1.78 tff(1629,plain,(ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.78 tff(1630,plain,
% 1.63/1.78 (ssPv1(skf1(skf1(elem!0)))),
% 1.63/1.78 inference(unit_resolution,[status(thm)],[1629, 1610, 1, 1580, 1611])).
% 1.63/1.78 tff(1631,plain,
% 1.63/1.78 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.78 inference(unit_resolution,[status(thm)],[1122, 1630, 1, 1580])).
% 1.63/1.78 tff(1632,plain,
% 1.63/1.78 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.63/1.78 inference(unit_resolution,[status(thm)],[1487, 1631, 5, 1610, 1580])).
% 1.63/1.78 tff(1633,assumption,(ssPv1(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.63/1.78 tff(1634,plain,
% 1.63/1.78 (((~![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)) | ssPv4(W) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(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)))))))) <=> ((~![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)) | ssPv4(W) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(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)))))))),
% 1.63/1.78 inference(rewrite,[status(thm)],[])).
% 1.63/1.78 tff(1635,plain,
% 1.63/1.78 ((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)))))) | ssPv4(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))))) | ssPv1(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)))))))),
% 1.63/1.79 inference(rewrite,[status(thm)],[])).
% 1.63/1.79 tff(1636,plain,
% 1.63/1.79 (((~![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)) | ssPv4(W) | (~ssPv3(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)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(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)) | ssPv4(W) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(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))))))))),
% 1.63/1.79 inference(monotonicity,[status(thm)],[1635])).
% 1.63/1.79 tff(1637,plain,
% 1.63/1.79 (((~![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)) | ssPv4(W) | (~ssPv3(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)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(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)) | ssPv4(W) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(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)))))))),
% 1.63/1.79 inference(transitivity,[status(thm)],[1636, 1634])).
% 1.63/1.79 tff(1638,plain,
% 1.63/1.79 ((~![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)) | ssPv4(W) | (~ssPv3(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)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.63/1.79 inference(quant_inst,[status(thm)],[])).
% 1.63/1.79 tff(1639,plain,
% 1.63/1.79 ((~![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)) | ssPv4(W) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(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))))))),
% 1.63/1.79 inference(modus_ponens,[status(thm)],[1638, 1637])).
% 1.63/1.79 tff(1640,plain,
% 1.63/1.79 ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1639, 449, 15, 459])).
% 1.63/1.79 tff(1641,plain,
% 1.63/1.79 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1640, 720, 1414, 1469])).
% 1.63/1.79 tff(1642,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(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)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(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)))))))),
% 1.63/1.79 inference(rewrite,[status(thm)],[])).
% 1.63/1.79 tff(1643,plain,
% 1.63/1.79 (((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(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)))))) | 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(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(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))))) | (~ssPv4(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)))))))),
% 1.63/1.79 inference(rewrite,[status(thm)],[])).
% 1.63/1.79 tff(1644,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(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)))))) | 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(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(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(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))))))))),
% 1.63/1.79 inference(monotonicity,[status(thm)],[1643])).
% 1.63/1.79 tff(1645,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(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)))))) | 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(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(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(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)))))))),
% 1.63/1.79 inference(transitivity,[status(thm)],[1644, 1642])).
% 1.63/1.79 tff(1646,plain,
% 1.63/1.79 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(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)))))) | 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(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.79 inference(quant_inst,[status(thm)],[])).
% 1.63/1.79 tff(1647,plain,
% 1.63/1.79 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.79 inference(modus_ponens,[status(thm)],[1646, 1645])).
% 1.63/1.79 tff(1648,plain,
% 1.63/1.79 (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1647, 1188, 15, 459])).
% 1.63/1.79 tff(1649,plain,
% 1.63/1.79 ($false),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1648, 1641, 720, 635, 1633])).
% 1.63/1.79 tff(1650,plain,(ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.79 tff(1651,plain,
% 1.63/1.79 (ssPv4(skf1(skf1(elem!0)))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1650, 1611, 1632, 1631])).
% 1.63/1.79 tff(1652,plain,
% 1.63/1.79 (ssPv2(skf1(elem!0))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1495, 1651, 1414, 1632])).
% 1.63/1.79 tff(1653,plain,
% 1.63/1.79 (ssPv1(skf1(elem!0))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1503, 1652, 1, 1610])).
% 1.63/1.79 tff(1654,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (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)))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | 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)))) | (~ssPv1(skf1(elem!0))))),
% 1.63/1.79 inference(rewrite,[status(thm)],[])).
% 1.63/1.79 tff(1655,plain,
% 1.63/1.79 (((~ssPv1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv4(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) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))))),
% 1.63/1.79 inference(rewrite,[status(thm)],[])).
% 1.63/1.79 tff(1656,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv4(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(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (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)))) | (~ssPv1(skf1(elem!0)))))),
% 1.63/1.79 inference(monotonicity,[status(thm)],[1655])).
% 1.63/1.79 tff(1657,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv4(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(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | 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)))) | (~ssPv1(skf1(elem!0))))),
% 1.63/1.79 inference(transitivity,[status(thm)],[1656, 1654])).
% 1.63/1.79 tff(1658,plain,
% 1.63/1.79 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv4(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)))))),
% 1.63/1.79 inference(quant_inst,[status(thm)],[])).
% 1.63/1.79 tff(1659,plain,
% 1.63/1.79 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | 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)))) | (~ssPv1(skf1(elem!0)))),
% 1.63/1.79 inference(modus_ponens,[status(thm)],[1658, 1657])).
% 1.63/1.79 tff(1660,plain,
% 1.63/1.79 (ssPv4(elem!0) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0)))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1659, 1188, 38, 17])).
% 1.63/1.79 tff(1661,plain,
% 1.63/1.79 (ssPv4(elem!0)),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1660, 1653, 1531, 1651])).
% 1.63/1.79 tff(1662,plain,
% 1.63/1.79 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))))),
% 1.63/1.79 inference(rewrite,[status(thm)],[])).
% 1.63/1.79 tff(1663,plain,
% 1.63/1.79 ((ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv2(skf1(skf1(elem!0))))) <=> (ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))))),
% 1.63/1.79 inference(rewrite,[status(thm)],[])).
% 1.63/1.79 tff(1664,plain,
% 1.63/1.79 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0)))))),
% 1.63/1.79 inference(monotonicity,[status(thm)],[1663])).
% 1.63/1.79 tff(1665,plain,
% 1.63/1.79 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))))),
% 1.63/1.79 inference(transitivity,[status(thm)],[1664, 1662])).
% 1.63/1.79 tff(1666,plain,
% 1.63/1.79 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.63/1.79 inference(quant_inst,[status(thm)],[])).
% 1.63/1.79 tff(1667,plain,
% 1.63/1.79 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0)))),
% 1.63/1.79 inference(modus_ponens,[status(thm)],[1666, 1665])).
% 1.63/1.79 tff(1668,plain,
% 1.63/1.79 (ssPv3(elem!0) | (~ssPv4(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0)))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1667, 849, 38, 17])).
% 1.63/1.79 tff(1669,plain,
% 1.63/1.79 (ssPv3(elem!0)),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1668, 1661, 1653, 1531])).
% 1.63/1.79 tff(1670,plain,
% 1.63/1.79 (ssPv4(skf1(elem!0))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1031, 1653, 1, 1610])).
% 1.63/1.79 tff(1671,plain,
% 1.63/1.79 (ssPv3(skf1(elem!0))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1512, 1670, 1630, 1610])).
% 1.63/1.79 tff(1672,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))),
% 1.63/1.79 inference(rewrite,[status(thm)],[])).
% 1.63/1.79 tff(1673,plain,
% 1.63/1.79 (((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv1(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(skf1(elem!0)))) <=> ((~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))),
% 1.63/1.79 inference(rewrite,[status(thm)],[])).
% 1.63/1.79 tff(1674,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv1(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(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0)))))),
% 1.63/1.79 inference(monotonicity,[status(thm)],[1673])).
% 1.63/1.79 tff(1675,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv1(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(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))),
% 1.63/1.79 inference(transitivity,[status(thm)],[1674, 1672])).
% 1.63/1.79 tff(1676,plain,
% 1.63/1.79 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv1(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(skf1(elem!0))))),
% 1.63/1.79 inference(quant_inst,[status(thm)],[])).
% 1.63/1.79 tff(1677,plain,
% 1.63/1.79 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0)))),
% 1.63/1.79 inference(modus_ponens,[status(thm)],[1676, 1675])).
% 1.63/1.79 tff(1678,plain,
% 1.63/1.79 ((~ssPv1(elem!0)) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0)))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1677, 823, 38, 17])).
% 1.63/1.79 tff(1679,plain,
% 1.63/1.79 (~ssPv1(elem!0)),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1678, 1671, 1414, 1670])).
% 1.63/1.79 tff(1680,plain,
% 1.63/1.79 ($false),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1569, 1679, 1669, 1652, 1651])).
% 1.63/1.79 tff(1681,plain,(ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.79 tff(1682,plain,
% 1.63/1.79 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1681, 1])).
% 1.63/1.79 tff(1683,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(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)))) | (~ssPv4(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, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(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)))) | (~ssPv4(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))))))),
% 1.63/1.79 inference(rewrite,[status(thm)],[])).
% 1.63/1.79 tff(1684,plain,
% 1.63/1.79 ((ssPv3(skf1(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(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)))) | (~ssPv4(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))))))),
% 1.63/1.79 inference(rewrite,[status(thm)],[])).
% 1.63/1.79 tff(1685,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(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(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] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(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)))) | (~ssPv4(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)))))))),
% 1.63/1.79 inference(monotonicity,[status(thm)],[1684])).
% 1.63/1.79 tff(1686,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(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(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] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(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)))) | (~ssPv4(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))))))),
% 1.63/1.79 inference(transitivity,[status(thm)],[1685, 1683])).
% 1.63/1.79 tff(1687,plain,
% 1.63/1.79 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(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(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)))),
% 1.63/1.79 inference(quant_inst,[status(thm)],[])).
% 1.63/1.79 tff(1688,plain,
% 1.63/1.79 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(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)))) | (~ssPv4(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)))))),
% 1.63/1.79 inference(modus_ponens,[status(thm)],[1687, 1686])).
% 1.63/1.79 tff(1689,plain,
% 1.63/1.79 (ssPv1(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1688, 422, 17, 15])).
% 1.63/1.79 tff(1690,plain,
% 1.63/1.79 (ssPv1(skf1(elem!0))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1689, 1562, 1, 1682])).
% 1.63/1.79 tff(1691,plain,
% 1.63/1.79 (~ssPv4(skf1(elem!0))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1061, 1424, 1, 1690])).
% 1.63/1.79 tff(1692,plain,
% 1.63/1.79 (ssPv2(skf1(skf1(elem!0)))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1431, 1691, 1414, 1424])).
% 1.63/1.79 tff(1693,plain,
% 1.63/1.79 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1591, 1691, 1692, 1424])).
% 1.63/1.79 tff(1694,plain,
% 1.63/1.79 (ssPv1(skf1(skf1(elem!0)))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1543, 1691, 1, 1424])).
% 1.63/1.79 tff(1695,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(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] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.79 inference(rewrite,[status(thm)],[])).
% 1.63/1.79 tff(1696,plain,
% 1.63/1.79 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(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)))))) | (~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))))) <=> ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.79 inference(rewrite,[status(thm)],[])).
% 1.63/1.79 tff(1697,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(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)))))) | (~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, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.79 inference(monotonicity,[status(thm)],[1696])).
% 1.63/1.79 tff(1698,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(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)))))) | (~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, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.79 inference(transitivity,[status(thm)],[1697, 1695])).
% 1.63/1.79 tff(1699,plain,
% 1.63/1.79 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(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)))))) | (~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)))))),
% 1.63/1.80 inference(quant_inst,[status(thm)],[])).
% 1.63/1.80 tff(1700,plain,
% 1.63/1.80 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(modus_ponens,[status(thm)],[1699, 1698])).
% 1.63/1.80 tff(1701,plain,
% 1.63/1.80 ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1700, 386, 15, 459])).
% 1.63/1.80 tff(1702,plain,
% 1.63/1.80 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1701, 1694, 1562, 2])).
% 1.63/1.80 tff(1703,plain,
% 1.63/1.80 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[838, 1702, 1682, 2])).
% 1.63/1.80 tff(1704,plain,
% 1.63/1.80 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(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] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1705,plain,
% 1.63/1.80 ((ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(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(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))))) | (~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)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1706,plain,
% 1.63/1.80 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(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(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))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.63/1.80 inference(monotonicity,[status(thm)],[1705])).
% 1.63/1.80 tff(1707,plain,
% 1.63/1.80 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(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(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))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.80 inference(transitivity,[status(thm)],[1706, 1704])).
% 1.63/1.80 tff(1708,plain,
% 1.63/1.80 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(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(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))))))))),
% 1.63/1.80 inference(quant_inst,[status(thm)],[])).
% 1.63/1.80 tff(1709,plain,
% 1.63/1.80 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(modus_ponens,[status(thm)],[1708, 1707])).
% 1.63/1.80 tff(1710,plain,
% 1.63/1.80 (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1709, 1097, 459, 522])).
% 1.63/1.80 tff(1711,plain,
% 1.63/1.80 (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1710, 1703, 1, 1693])).
% 1.63/1.80 tff(1712,plain,
% 1.63/1.80 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(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(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(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(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1713,plain,
% 1.63/1.80 ((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))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(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(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1714,plain,
% 1.63/1.80 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (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))))))) | (~ssPv1(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] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(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(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.63/1.80 inference(monotonicity,[status(thm)],[1713])).
% 1.63/1.80 tff(1715,plain,
% 1.63/1.80 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (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))))))) | (~ssPv1(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] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(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(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.80 inference(transitivity,[status(thm)],[1714, 1712])).
% 1.63/1.80 tff(1716,plain,
% 1.63/1.80 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (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))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(quant_inst,[status(thm)],[])).
% 1.63/1.80 tff(1717,plain,
% 1.63/1.80 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(modus_ponens,[status(thm)],[1716, 1715])).
% 1.63/1.80 tff(1718,plain,
% 1.63/1.80 ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1717, 1115, 459, 522])).
% 1.63/1.80 tff(1719,plain,
% 1.63/1.80 ($false),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1718, 1711, 1703, 2, 1693])).
% 1.63/1.80 tff(1720,plain,(ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.80 tff(1721,plain,
% 1.63/1.80 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1720, 1])).
% 1.63/1.80 tff(1722,plain,
% 1.63/1.80 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(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(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1723,plain,
% 1.63/1.80 ((ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(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)))))) | (~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(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1724,plain,
% 1.63/1.80 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(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)))))) | (~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] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.80 inference(monotonicity,[status(thm)],[1723])).
% 1.63/1.80 tff(1725,plain,
% 1.63/1.80 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(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)))))) | (~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] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(transitivity,[status(thm)],[1724, 1722])).
% 1.63/1.80 tff(1726,plain,
% 1.63/1.80 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(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)))))) | (~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))))),
% 1.63/1.80 inference(quant_inst,[status(thm)],[])).
% 1.63/1.80 tff(1727,plain,
% 1.63/1.80 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(modus_ponens,[status(thm)],[1726, 1725])).
% 1.63/1.80 tff(1728,plain,
% 1.63/1.80 (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1727, 557, 15, 459])).
% 1.63/1.80 tff(1729,plain,
% 1.63/1.80 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1728, 4, 1721, 547])).
% 1.63/1.80 tff(1730,plain,
% 1.63/1.80 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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(skf1(skf1(elem!0))))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1731,plain,
% 1.63/1.80 (((~ssPv4(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(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)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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(skf1(skf1(elem!0))))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1732,plain,
% 1.63/1.80 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(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(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)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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(skf1(skf1(elem!0)))))))))),
% 1.63/1.80 inference(monotonicity,[status(thm)],[1731])).
% 1.63/1.80 tff(1733,plain,
% 1.63/1.80 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(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(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)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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(skf1(skf1(elem!0))))))))),
% 1.63/1.80 inference(transitivity,[status(thm)],[1732, 1730])).
% 1.63/1.80 tff(1734,plain,
% 1.63/1.80 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(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(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)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(quant_inst,[status(thm)],[])).
% 1.63/1.80 tff(1735,plain,
% 1.63/1.80 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(modus_ponens,[status(thm)],[1734, 1733])).
% 1.63/1.80 tff(1736,plain,
% 1.63/1.80 (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1735, 1324, 459, 522])).
% 1.63/1.80 tff(1737,plain,
% 1.63/1.80 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1736, 1729, 1721, 547])).
% 1.63/1.80 tff(1738,plain,
% 1.63/1.80 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1739,plain,
% 1.63/1.80 (((~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)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1740,plain,
% 1.63/1.80 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~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)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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(skf1(skf1(elem!0))))))))),
% 1.63/1.80 inference(monotonicity,[status(thm)],[1739])).
% 1.63/1.80 tff(1741,plain,
% 1.63/1.80 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~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)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(transitivity,[status(thm)],[1740, 1738])).
% 1.63/1.80 tff(1742,plain,
% 1.63/1.80 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~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)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(quant_inst,[status(thm)],[])).
% 1.63/1.80 tff(1743,plain,
% 1.63/1.80 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(modus_ponens,[status(thm)],[1742, 1741])).
% 1.63/1.80 tff(1744,plain,
% 1.63/1.80 ((~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))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1743, 404, 459, 522])).
% 1.63/1.80 tff(1745,plain,
% 1.63/1.80 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1744, 1737, 1682, 1721])).
% 1.63/1.80 tff(1746,plain,
% 1.63/1.80 (ssPv4(skf1(elem!0))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1431, 4, 1414, 547])).
% 1.63/1.80 tff(1747,plain,
% 1.63/1.80 (~ssPv1(skf1(elem!0))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1061, 1746, 1, 547])).
% 1.63/1.80 tff(1748,plain,
% 1.63/1.80 (~ssPv4(skf1(skf1(elem!0)))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1689, 1747, 1, 1682])).
% 1.63/1.80 tff(1749,plain,
% 1.63/1.80 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[684, 1729, 547, 1721])).
% 1.63/1.80 tff(1750,plain,
% 1.63/1.80 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(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(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] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1751,plain,
% 1.63/1.80 ((ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1752,plain,
% 1.63/1.80 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.81 inference(monotonicity,[status(thm)],[1751])).
% 1.63/1.81 tff(1753,plain,
% 1.63/1.81 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.81 inference(transitivity,[status(thm)],[1752, 1750])).
% 1.63/1.81 tff(1754,plain,
% 1.63/1.81 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.81 inference(quant_inst,[status(thm)],[])).
% 1.63/1.81 tff(1755,plain,
% 1.63/1.81 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(modus_ponens,[status(thm)],[1754, 1753])).
% 1.63/1.81 tff(1756,plain,
% 1.63/1.81 (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1755, 215, 459, 522])).
% 1.63/1.81 tff(1757,plain,
% 1.63/1.81 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1756, 1749, 1, 547])).
% 1.63/1.81 tff(1758,plain,
% 1.63/1.81 ($false),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1648, 1757, 1748, 1729, 1745])).
% 1.63/1.81 tff(1759,plain,(ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.81 tff(1760,plain,
% 1.63/1.81 (ssPv2(skf1(skf1(elem!0)))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1759, 547, 1])).
% 1.63/1.81 tff(1761,plain,
% 1.63/1.81 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(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)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(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)))))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1762,plain,
% 1.63/1.81 ((ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(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)))) | (~ssPv2(skf1(skf1(elem!0))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(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)))))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1763,plain,
% 1.63/1.81 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(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)))) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(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))))))))),
% 1.63/1.81 inference(monotonicity,[status(thm)],[1762])).
% 1.63/1.81 tff(1764,plain,
% 1.63/1.81 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(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)))) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(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)))))))),
% 1.63/1.81 inference(transitivity,[status(thm)],[1763, 1761])).
% 1.63/1.81 tff(1765,plain,
% 1.63/1.81 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(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)))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(quant_inst,[status(thm)],[])).
% 1.63/1.81 tff(1766,plain,
% 1.63/1.81 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(modus_ponens,[status(thm)],[1765, 1764])).
% 1.63/1.81 tff(1767,plain,
% 1.63/1.81 ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1766, 1206, 15, 459])).
% 1.63/1.81 tff(1768,plain,
% 1.63/1.81 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1767, 587, 1414, 1760])).
% 1.63/1.81 tff(1769,plain,
% 1.63/1.81 (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1756, 587, 1, 547])).
% 1.63/1.81 tff(1770,plain,
% 1.63/1.81 ($false),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[684, 1769, 1768, 547, 1721])).
% 1.63/1.81 tff(1771,plain,(ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.81 tff(1772,plain,
% 1.63/1.81 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1771, 547, 1])).
% 1.63/1.81 tff(1773,plain,
% 1.63/1.81 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[977, 492, 1, 547])).
% 1.63/1.81 tff(1774,plain,
% 1.63/1.81 ($false),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1459, 1773, 492, 1721, 1772])).
% 1.63/1.81 tff(1775,plain,(ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.81 tff(1776,plain,
% 1.63/1.81 (ssPv1(skf1(skf1(elem!0)))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1775, 547, 1])).
% 1.63/1.81 tff(1777,plain,
% 1.63/1.81 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1122, 1776, 1, 1721])).
% 1.63/1.81 tff(1778,plain,
% 1.63/1.81 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1744, 1343, 721, 1250])).
% 1.63/1.81 tff(1779,plain,
% 1.63/1.81 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(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] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1780,plain,
% 1.63/1.81 ((ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(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(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))))))) | ssPv2(skf1(skf1(skf1(elem!0))))) <=> (ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1781,plain,
% 1.63/1.81 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(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(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))))))) | ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.81 inference(monotonicity,[status(thm)],[1780])).
% 1.63/1.81 tff(1782,plain,
% 1.63/1.81 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(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(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))))))) | ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.81 inference(transitivity,[status(thm)],[1781, 1779])).
% 1.63/1.81 tff(1783,plain,
% 1.63/1.81 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(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(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))))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(quant_inst,[status(thm)],[])).
% 1.63/1.81 tff(1784,plain,
% 1.63/1.81 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(modus_ponens,[status(thm)],[1783, 1782])).
% 1.63/1.81 tff(1785,plain,
% 1.63/1.81 (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1784, 161, 459, 522])).
% 1.63/1.81 tff(1786,plain,
% 1.63/1.81 ($false),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1785, 1778, 1477, 547, 1343])).
% 1.63/1.81 tff(1787,plain,(ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.81 tff(1788,plain,
% 1.63/1.81 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1787, 547, 1682, 1721, 1777])).
% 1.63/1.81 tff(1789,assumption,(~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.63/1.81 tff(1790,assumption,(~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))), introduced(assumption)).
% 1.63/1.81 tff(1791,plain,
% 1.63/1.81 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(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] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1792,plain,
% 1.63/1.81 ((ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(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(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))))) | (~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(skf1(skf1(elem!0)))))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1793,plain,
% 1.63/1.81 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(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(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))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.81 inference(monotonicity,[status(thm)],[1792])).
% 1.63/1.81 tff(1794,plain,
% 1.63/1.81 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(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(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))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.81 inference(transitivity,[status(thm)],[1793, 1791])).
% 1.63/1.81 tff(1795,plain,
% 1.63/1.81 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(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(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))))))))),
% 1.63/1.81 inference(quant_inst,[status(thm)],[])).
% 1.63/1.81 tff(1796,plain,
% 1.63/1.81 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(modus_ponens,[status(thm)],[1795, 1794])).
% 1.63/1.81 tff(1797,plain,
% 1.63/1.81 (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1796, 615, 459, 522])).
% 1.63/1.81 tff(1798,plain,
% 1.63/1.81 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1797, 1790, 1, 1633])).
% 1.63/1.81 tff(1799,plain,
% 1.63/1.81 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(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)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1800,plain,
% 1.63/1.81 (((~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(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(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(elem!0))))) | (~ssPv3(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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1801,plain,
% 1.63/1.81 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(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)))))))) | (~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(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.67/1.81 inference(monotonicity,[status(thm)],[1800])).
% 1.67/1.81 tff(1802,plain,
% 1.67/1.81 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(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)))))))) | (~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(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.67/1.81 inference(transitivity,[status(thm)],[1801, 1799])).
% 1.67/1.81 tff(1803,plain,
% 1.67/1.81 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(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)))))))) | (~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(skf1(skf1(elem!0)))))))))),
% 1.67/1.81 inference(quant_inst,[status(thm)],[])).
% 1.67/1.81 tff(1804,plain,
% 1.67/1.81 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.67/1.81 inference(modus_ponens,[status(thm)],[1803, 1802])).
% 1.67/1.81 tff(1805,plain,
% 1.67/1.81 (ssPv1(skf1(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(skf1(elem!0))))))))),
% 1.67/1.81 inference(unit_resolution,[status(thm)],[1804, 235, 522, 567])).
% 1.67/1.81 tff(1806,plain,
% 1.67/1.81 (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.67/1.81 inference(unit_resolution,[status(thm)],[1805, 1798, 1469, 1721])).
% 1.67/1.81 tff(1807,plain,
% 1.67/1.81 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ((~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))))))) | ssPv4(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(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (~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))))))) | ssPv4(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(skf1(skf1(elem!0)))))))),
% 1.67/1.81 inference(rewrite,[status(thm)],[])).
% 1.67/1.81 tff(1808,plain,
% 1.67/1.81 ((ssPv4(skf1(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(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))))) | (~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))))))) | ssPv4(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(skf1(skf1(elem!0)))))))),
% 1.67/1.82 inference(rewrite,[status(thm)],[])).
% 1.67/1.82 tff(1809,plain,
% 1.67/1.82 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(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(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))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ((~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))))))) | ssPv4(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(skf1(skf1(elem!0))))))))),
% 1.67/1.82 inference(monotonicity,[status(thm)],[1808])).
% 1.67/1.82 tff(1810,plain,
% 1.67/1.82 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(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(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))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (~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))))))) | ssPv4(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(skf1(skf1(elem!0)))))))),
% 1.67/1.82 inference(transitivity,[status(thm)],[1809, 1807])).
% 1.67/1.82 tff(1811,plain,
% 1.67/1.82 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(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(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))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.67/1.82 inference(quant_inst,[status(thm)],[])).
% 1.67/1.82 tff(1812,plain,
% 1.67/1.82 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.67/1.82 inference(modus_ponens,[status(thm)],[1811, 1810])).
% 1.67/1.82 tff(1813,plain,
% 1.67/1.82 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.67/1.82 inference(unit_resolution,[status(thm)],[1812, 197, 522, 567])).
% 1.67/1.82 tff(1814,plain,
% 1.67/1.82 ($false),
% 1.67/1.82 inference(unit_resolution,[status(thm)],[1813, 1806, 1798, 1789, 1790])).
% 1.67/1.82 tff(1815,plain,(ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.82 tff(1816,plain,
% 1.67/1.82 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.67/1.82 inference(unit_resolution,[status(thm)],[1815, 1789, 1777, 1, 1788])).
% 1.67/1.82 tff(1817,plain,
% 1.67/1.82 (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.67/1.82 inference(unit_resolution,[status(thm)],[1710, 1816, 1, 1788])).
% 1.67/1.82 tff(1818,plain,
% 1.67/1.82 (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.67/1.82 inference(unit_resolution,[status(thm)],[676, 1817, 1789, 547])).
% 1.67/1.82 tff(1819,plain,
% 1.67/1.82 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.67/1.82 inference(rewrite,[status(thm)],[])).
% 1.67/1.82 tff(1820,plain,
% 1.67/1.82 ((ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(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(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))))) | (~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))))) | (~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(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.67/1.82 inference(rewrite,[status(thm)],[])).
% 1.67/1.82 tff(1821,plain,
% 1.67/1.82 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(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(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))))) | (~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(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.67/1.82 inference(monotonicity,[status(thm)],[1820])).
% 1.67/1.82 tff(1822,plain,
% 1.67/1.82 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(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(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))))) | (~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(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.67/1.82 inference(transitivity,[status(thm)],[1821, 1819])).
% 1.67/1.82 tff(1823,plain,
% 1.67/1.82 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(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(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))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.67/1.82 inference(quant_inst,[status(thm)],[])).
% 1.67/1.82 tff(1824,plain,
% 1.67/1.82 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.67/1.82 inference(modus_ponens,[status(thm)],[1823, 1822])).
% 1.67/1.82 tff(1825,plain,
% 1.67/1.82 (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.67/1.82 inference(unit_resolution,[status(thm)],[1824, 755, 522, 567])).
% 1.67/1.82 tff(1826,plain,
% 1.67/1.82 (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.67/1.82 inference(unit_resolution,[status(thm)],[1825, 1818, 1789, 1816])).
% 1.67/1.82 tff(1827,plain,
% 1.67/1.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(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] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.67/1.82 inference(rewrite,[status(thm)],[])).
% 1.67/1.82 tff(1828,plain,
% 1.67/1.82 (((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(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)))))))) | 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(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(skf1(elem!0))))), 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))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.67/1.82 inference(rewrite,[status(thm)],[])).
% 1.67/1.82 tff(1829,plain,
% 1.67/1.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(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)))))))) | 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(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] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.67/1.82 inference(monotonicity,[status(thm)],[1828])).
% 1.67/1.82 tff(1830,plain,
% 1.67/1.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(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)))))))) | 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(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] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.67/1.82 inference(transitivity,[status(thm)],[1829, 1827])).
% 1.67/1.82 tff(1831,plain,
% 1.67/1.82 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(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)))))))) | 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(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)))))))))),
% 1.67/1.82 inference(quant_inst,[status(thm)],[])).
% 1.67/1.82 tff(1832,plain,
% 1.67/1.82 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.67/1.82 inference(modus_ponens,[status(thm)],[1831, 1830])).
% 1.67/1.82 tff(1833,plain,
% 1.67/1.82 (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.67/1.82 inference(unit_resolution,[status(thm)],[1832, 1188, 522, 567])).
% 1.67/1.82 tff(1834,plain,
% 1.67/1.82 (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.67/1.82 inference(unit_resolution,[status(thm)],[1833, 1826, 1789, 1817])).
% 1.67/1.82 tff(1835,plain,
% 1.67/1.82 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ((~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(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(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] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (~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(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.67/1.82 inference(rewrite,[status(thm)],[])).
% 1.67/1.82 tff(1836,plain,
% 1.67/1.82 ((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(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)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(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(elem!0))))) | (~ssPv2(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(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.67/1.82 inference(rewrite,[status(thm)],[])).
% 1.67/1.82 tff(1837,plain,
% 1.67/1.82 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (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(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)))))))) | (~ssPv2(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] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ((~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(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.67/1.82 inference(monotonicity,[status(thm)],[1836])).
% 1.67/1.82 tff(1838,plain,
% 1.67/1.82 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (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(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)))))))) | (~ssPv2(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] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (~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(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.67/1.82 inference(transitivity,[status(thm)],[1837, 1835])).
% 1.67/1.82 tff(1839,plain,
% 1.67/1.82 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (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(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)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.67/1.82 inference(quant_inst,[status(thm)],[])).
% 1.67/1.82 tff(1840,plain,
% 1.67/1.82 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (~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(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.67/1.82 inference(modus_ponens,[status(thm)],[1839, 1838])).
% 1.67/1.82 tff(1841,plain,
% 1.67/1.82 (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.67/1.82 inference(unit_resolution,[status(thm)],[1840, 122, 522, 567])).
% 1.67/1.82 tff(1842,plain,
% 1.67/1.82 (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.67/1.82 inference(unit_resolution,[status(thm)],[1841, 1826, 1777, 1772])).
% 1.67/1.82 tff(1843,plain,
% 1.67/1.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~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))))))) | 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))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~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))))))) | 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))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.67/1.82 inference(rewrite,[status(thm)],[])).
% 1.67/1.82 tff(1844,plain,
% 1.67/1.82 (((~ssPv1(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)))))))) | (~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(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(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(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))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.67/1.82 inference(rewrite,[status(thm)],[])).
% 1.67/1.82 tff(1845,plain,
% 1.67/1.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(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)))))))) | (~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(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] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~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))))))) | 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))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.67/1.82 inference(monotonicity,[status(thm)],[1844])).
% 1.67/1.82 tff(1846,plain,
% 1.67/1.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(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)))))))) | (~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(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] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~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))))))) | 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))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.67/1.82 inference(transitivity,[status(thm)],[1845, 1843])).
% 1.67/1.82 tff(1847,plain,
% 1.67/1.82 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(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)))))))) | (~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(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)))))))))),
% 1.67/1.82 inference(quant_inst,[status(thm)],[])).
% 1.67/1.82 tff(1848,plain,
% 1.67/1.82 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.67/1.83 inference(modus_ponens,[status(thm)],[1847, 1846])).
% 1.67/1.83 tff(1849,plain,
% 1.67/1.83 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[1848, 1232, 522, 567])).
% 1.67/1.83 tff(1850,plain,
% 1.67/1.83 ($false),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[1849, 1842, 1834, 1789, 1817])).
% 1.67/1.83 tff(1851,plain,(ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.83 tff(1852,plain,
% 1.67/1.83 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[1851, 547, 1])).
% 1.67/1.83 tff(1853,plain,
% 1.67/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.67/1.83 inference(rewrite,[status(thm)],[])).
% 1.67/1.83 tff(1854,plain,
% 1.67/1.83 ((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(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.67/1.83 inference(rewrite,[status(thm)],[])).
% 1.67/1.83 tff(1855,plain,
% 1.67/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (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(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.67/1.83 inference(monotonicity,[status(thm)],[1854])).
% 1.67/1.83 tff(1856,plain,
% 1.67/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (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(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.67/1.83 inference(transitivity,[status(thm)],[1855, 1853])).
% 1.67/1.83 tff(1857,plain,
% 1.67/1.83 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (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(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.67/1.83 inference(quant_inst,[status(thm)],[])).
% 1.67/1.83 tff(1858,plain,
% 1.67/1.83 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.67/1.83 inference(modus_ponens,[status(thm)],[1857, 1856])).
% 1.67/1.83 tff(1859,plain,
% 1.67/1.83 (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[1858, 1016, 459, 522])).
% 1.67/1.83 tff(1860,plain,
% 1.67/1.83 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[1859, 1852, 1788, 547])).
% 1.67/1.83 tff(1861,plain,
% 1.67/1.83 ($false),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[1266, 1860, 1852, 1721, 1788])).
% 1.67/1.83 tff(1862,plain,(ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.83 tff(1863,plain,
% 1.67/1.83 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[1862, 1])).
% 1.67/1.83 tff(1864,plain,
% 1.67/1.83 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[1744, 1343, 1682, 1721])).
% 1.67/1.83 tff(1865,plain,
% 1.67/1.83 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[1629, 492, 1, 1721, 1863])).
% 1.67/1.83 tff(1866,plain,
% 1.67/1.83 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[1619, 492, 1414, 1863])).
% 1.67/1.83 tff(1867,plain,
% 1.67/1.83 (~ssPv2(skf1(skf1(elem!0)))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[1767, 1865, 1414, 1866])).
% 1.67/1.83 tff(1868,plain,
% 1.67/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(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] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.67/1.83 inference(rewrite,[status(thm)],[])).
% 1.67/1.83 tff(1869,plain,
% 1.67/1.83 ((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)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.67/1.83 inference(rewrite,[status(thm)],[])).
% 1.67/1.83 tff(1870,plain,
% 1.67/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (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)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.67/1.83 inference(monotonicity,[status(thm)],[1869])).
% 1.67/1.83 tff(1871,plain,
% 1.67/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (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)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.67/1.83 inference(transitivity,[status(thm)],[1870, 1868])).
% 1.67/1.83 tff(1872,plain,
% 1.67/1.83 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (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)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.67/1.83 inference(quant_inst,[status(thm)],[])).
% 1.67/1.83 tff(1873,plain,
% 1.67/1.83 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.67/1.83 inference(modus_ponens,[status(thm)],[1872, 1871])).
% 1.67/1.83 tff(1874,plain,
% 1.67/1.83 ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[1873, 877, 15, 459])).
% 1.67/1.83 tff(1875,plain,
% 1.67/1.83 ($false),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[1874, 1867, 1865, 1414, 1343])).
% 1.67/1.83 tff(1876,plain,(ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.83 tff(1877,plain,
% 1.67/1.83 (ssPv1(skf1(skf1(elem!0)))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[1876, 1343, 1])).
% 1.67/1.83 tff(1878,plain,
% 1.67/1.83 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[1122, 1877, 1, 1721])).
% 1.67/1.83 tff(1879,plain,
% 1.67/1.83 (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[1476, 1878, 1343, 1721])).
% 1.67/1.83 tff(1880,plain,
% 1.67/1.83 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(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] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.67/1.83 inference(rewrite,[status(thm)],[])).
% 1.67/1.83 tff(1881,plain,
% 1.67/1.83 ((ssPv3(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))))))) | (~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))))))) | ssPv1(skf1(skf1(skf1(elem!0))))) <=> (ssPv1(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.67/1.83 inference(rewrite,[status(thm)],[])).
% 1.67/1.83 tff(1882,plain,
% 1.67/1.83 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(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))))))) | (~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))))))) | ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.67/1.83 inference(monotonicity,[status(thm)],[1881])).
% 1.67/1.83 tff(1883,plain,
% 1.67/1.83 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(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))))))) | (~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))))))) | ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.67/1.83 inference(transitivity,[status(thm)],[1882, 1880])).
% 1.67/1.83 tff(1884,plain,
% 1.67/1.83 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(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))))))) | (~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))))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.67/1.83 inference(quant_inst,[status(thm)],[])).
% 1.67/1.83 tff(1885,plain,
% 1.67/1.83 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.67/1.83 inference(modus_ponens,[status(thm)],[1884, 1883])).
% 1.67/1.83 tff(1886,plain,
% 1.67/1.83 (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[1885, 422, 459, 522])).
% 1.67/1.83 tff(1887,plain,
% 1.67/1.83 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[1886, 1879, 1343, 1864])).
% 1.67/1.83 tff(1888,plain,
% 1.67/1.83 (ssPv4(skf1(skf1(elem!0)))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[1005, 1887, 1, 1863])).
% 1.67/1.83 tff(1889,plain,
% 1.67/1.83 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(elem!0)) | (~ssPv1(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))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(elem!0)) | (~ssPv1(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))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.83 inference(rewrite,[status(thm)],[])).
% 1.69/1.83 tff(1890,plain,
% 1.69/1.83 (((~ssPv1(skf1(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))))) | ssPv4(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)) | (~ssPv1(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))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.83 inference(rewrite,[status(thm)],[])).
% 1.69/1.83 tff(1891,plain,
% 1.69/1.83 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(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))))) | ssPv4(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(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(elem!0)) | (~ssPv1(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))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))))),
% 1.69/1.83 inference(monotonicity,[status(thm)],[1890])).
% 1.69/1.83 tff(1892,plain,
% 1.69/1.83 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(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))))) | ssPv4(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(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(elem!0)) | (~ssPv1(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))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.83 inference(transitivity,[status(thm)],[1891, 1889])).
% 1.69/1.83 tff(1893,plain,
% 1.69/1.83 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(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))))) | ssPv4(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))))))),
% 1.69/1.83 inference(quant_inst,[status(thm)],[])).
% 1.69/1.83 tff(1894,plain,
% 1.69/1.83 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(elem!0)) | (~ssPv1(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))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.83 inference(modus_ponens,[status(thm)],[1893, 1892])).
% 1.69/1.83 tff(1895,plain,
% 1.69/1.83 (ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.83 inference(unit_resolution,[status(thm)],[1894, 1188, 17, 15])).
% 1.69/1.83 tff(1896,plain,
% 1.69/1.83 (ssPv4(skf1(elem!0))),
% 1.69/1.83 inference(unit_resolution,[status(thm)],[1895, 1877, 1682, 1863])).
% 1.69/1.83 tff(1897,plain,
% 1.69/1.83 (ssPv3(skf1(elem!0))),
% 1.69/1.83 inference(unit_resolution,[status(thm)],[1512, 1896, 1877, 1863])).
% 1.69/1.83 tff(1898,plain,
% 1.69/1.83 (~ssPv1(elem!0)),
% 1.69/1.83 inference(unit_resolution,[status(thm)],[1678, 1896, 1414, 1897])).
% 1.69/1.83 tff(1899,plain,
% 1.69/1.83 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | ssPv1(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] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.69/1.83 inference(rewrite,[status(thm)],[])).
% 1.69/1.83 tff(1900,plain,
% 1.69/1.83 ((ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(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)))) <=> (ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.69/1.83 inference(rewrite,[status(thm)],[])).
% 1.69/1.83 tff(1901,plain,
% 1.69/1.83 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(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)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.69/1.83 inference(monotonicity,[status(thm)],[1900])).
% 1.69/1.83 tff(1902,plain,
% 1.69/1.83 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(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)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.69/1.83 inference(transitivity,[status(thm)],[1901, 1899])).
% 1.69/1.83 tff(1903,plain,
% 1.69/1.83 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(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))))),
% 1.69/1.83 inference(quant_inst,[status(thm)],[])).
% 1.69/1.83 tff(1904,plain,
% 1.69/1.83 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.69/1.83 inference(modus_ponens,[status(thm)],[1903, 1902])).
% 1.69/1.83 tff(1905,plain,
% 1.69/1.83 (ssPv1(elem!0) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0))))),
% 1.69/1.83 inference(unit_resolution,[status(thm)],[1904, 504, 38, 17])).
% 1.69/1.83 tff(1906,plain,
% 1.69/1.83 (ssPv1(skf1(elem!0))),
% 1.69/1.83 inference(unit_resolution,[status(thm)],[1905, 1898, 1414, 1897])).
% 1.69/1.83 tff(1907,plain,
% 1.69/1.83 (ssPv2(skf1(elem!0))),
% 1.69/1.83 inference(unit_resolution,[status(thm)],[1023, 1906, 1, 1888])).
% 1.69/1.83 tff(1908,plain,
% 1.69/1.83 (ssPv2(elem!0)),
% 1.69/1.83 inference(unit_resolution,[status(thm)],[1528, 1897, 1896, 1877])).
% 1.69/1.83 tff(1909,plain,
% 1.69/1.83 (ssPv2(skf1(skf1(elem!0)))),
% 1.69/1.83 inference(unit_resolution,[status(thm)],[1520, 1908, 1414, 1897])).
% 1.69/1.83 tff(1910,plain,
% 1.69/1.83 (ssPv3(elem!0)),
% 1.69/1.83 inference(unit_resolution,[status(thm)],[1577, 1909, 1414, 1898])).
% 1.69/1.83 tff(1911,plain,
% 1.69/1.83 ($false),
% 1.69/1.83 inference(unit_resolution,[status(thm)],[1569, 1910, 1907, 1898, 1888])).
% 1.69/1.83 tff(1912,plain,(ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.69/1.83 tff(1913,plain,
% 1.69/1.83 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.69/1.83 inference(unit_resolution,[status(thm)],[1912, 1])).
% 1.69/1.83 tff(1914,plain,
% 1.69/1.83 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.83 inference(unit_resolution,[status(thm)],[1627, 1866, 1, 492])).
% 1.69/1.83 tff(1915,plain,
% 1.69/1.83 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.83 inference(unit_resolution,[status(thm)],[1815, 1914, 1913, 1, 1866])).
% 1.69/1.83 tff(1916,plain,
% 1.69/1.83 (((~![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)) | (~ssPv2(W)))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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(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)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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(skf1(skf1(elem!0))))))))),
% 1.69/1.83 inference(rewrite,[status(thm)],[])).
% 1.69/1.83 tff(1917,plain,
% 1.69/1.83 ((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))))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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(skf1(skf1(elem!0))))))))),
% 1.69/1.83 inference(rewrite,[status(thm)],[])).
% 1.69/1.83 tff(1918,plain,
% 1.69/1.83 (((~![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)) | (~ssPv2(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))))))) | (~ssPv2(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)) | (~ssPv2(W)))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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(skf1(skf1(elem!0)))))))))),
% 1.69/1.83 inference(monotonicity,[status(thm)],[1917])).
% 1.69/1.83 tff(1919,plain,
% 1.69/1.83 (((~![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)) | (~ssPv2(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))))))) | (~ssPv2(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)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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(skf1(skf1(elem!0))))))))),
% 1.69/1.84 inference(transitivity,[status(thm)],[1918, 1916])).
% 1.69/1.84 tff(1920,plain,
% 1.69/1.84 ((~![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)) | (~ssPv2(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))))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.84 inference(quant_inst,[status(thm)],[])).
% 1.69/1.84 tff(1921,plain,
% 1.69/1.84 ((~![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)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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(skf1(skf1(elem!0)))))))),
% 1.69/1.84 inference(modus_ponens,[status(thm)],[1920, 1919])).
% 1.69/1.84 tff(1922,plain,
% 1.69/1.84 ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1921, 597, 459, 522])).
% 1.69/1.84 tff(1923,plain,
% 1.69/1.84 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1922, 1915, 1863, 1721])).
% 1.69/1.84 tff(1924,plain,
% 1.69/1.84 (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1805, 1923, 1914, 1721])).
% 1.69/1.84 tff(1925,plain,
% 1.69/1.84 (((~![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)) | ssPv4(W) | (~ssPv3(W)))) | ((~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))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(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))))))))) <=> ((~![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)) | ssPv4(W) | (~ssPv3(W)))) | (~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))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(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))))))))),
% 1.69/1.84 inference(rewrite,[status(thm)],[])).
% 1.69/1.84 tff(1926,plain,
% 1.69/1.84 ((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)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(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))))))))),
% 1.69/1.84 inference(rewrite,[status(thm)],[])).
% 1.69/1.84 tff(1927,plain,
% 1.69/1.84 (((~![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)) | ssPv4(W) | (~ssPv3(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)))))))) | ssPv4(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) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | ((~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))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(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)))))))))),
% 1.69/1.84 inference(monotonicity,[status(thm)],[1926])).
% 1.69/1.84 tff(1928,plain,
% 1.69/1.84 (((~![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)) | ssPv4(W) | (~ssPv3(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)))))))) | ssPv4(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) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (~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))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(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))))))))),
% 1.69/1.84 inference(transitivity,[status(thm)],[1927, 1925])).
% 1.69/1.84 tff(1929,plain,
% 1.69/1.84 ((~![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)) | ssPv4(W) | (~ssPv3(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)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.69/1.84 inference(quant_inst,[status(thm)],[])).
% 1.69/1.84 tff(1930,plain,
% 1.69/1.84 ((~![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)) | ssPv4(W) | (~ssPv3(W)))) | (~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))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(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)))))))),
% 1.69/1.84 inference(modus_ponens,[status(thm)],[1929, 1928])).
% 1.69/1.84 tff(1931,plain,
% 1.69/1.84 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1930, 449, 522, 567])).
% 1.69/1.84 tff(1932,plain,
% 1.69/1.84 (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1931, 1924, 1866, 1721])).
% 1.69/1.84 tff(1933,plain,
% 1.69/1.84 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(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))))))) | (~ssPv3(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(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(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))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.69/1.84 inference(rewrite,[status(thm)],[])).
% 1.69/1.84 tff(1934,plain,
% 1.69/1.84 ((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)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | 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)))))))) | 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))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.69/1.84 inference(rewrite,[status(thm)],[])).
% 1.69/1.84 tff(1935,plain,
% 1.69/1.84 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (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)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(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))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.69/1.84 inference(monotonicity,[status(thm)],[1934])).
% 1.69/1.84 tff(1936,plain,
% 1.69/1.84 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (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)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(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))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.69/1.84 inference(transitivity,[status(thm)],[1935, 1933])).
% 1.69/1.84 tff(1937,plain,
% 1.69/1.84 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (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)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.69/1.84 inference(quant_inst,[status(thm)],[])).
% 1.69/1.84 tff(1938,plain,
% 1.69/1.84 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(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))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.69/1.84 inference(modus_ponens,[status(thm)],[1937, 1936])).
% 1.69/1.84 tff(1939,plain,
% 1.69/1.84 (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1938, 661, 522, 567])).
% 1.69/1.84 tff(1940,plain,
% 1.69/1.84 (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1939, 1915, 1866, 1865])).
% 1.69/1.84 tff(1941,plain,
% 1.69/1.84 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.69/1.84 inference(rewrite,[status(thm)],[])).
% 1.69/1.84 tff(1942,plain,
% 1.69/1.84 ((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)))))))) | (~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)))))))) | ssPv2(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)))))))) | 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)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.69/1.84 inference(rewrite,[status(thm)],[])).
% 1.69/1.84 tff(1943,plain,
% 1.69/1.84 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (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)))))))) | (~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)))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.69/1.84 inference(monotonicity,[status(thm)],[1942])).
% 1.69/1.84 tff(1944,plain,
% 1.69/1.84 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (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)))))))) | (~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)))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), 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))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.69/1.84 inference(transitivity,[status(thm)],[1943, 1941])).
% 1.69/1.84 tff(1945,plain,
% 1.69/1.84 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (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)))))))) | (~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)))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.69/1.84 inference(quant_inst,[status(thm)],[])).
% 1.69/1.84 tff(1946,plain,
% 1.69/1.84 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.69/1.84 inference(modus_ponens,[status(thm)],[1945, 1944])).
% 1.69/1.84 tff(1947,plain,
% 1.69/1.84 (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1946, 255, 522, 567])).
% 1.69/1.84 tff(1948,plain,
% 1.69/1.84 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1947, 1932, 1865, 1940])).
% 1.69/1.84 tff(1949,plain,
% 1.69/1.84 ($false),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[574, 1948, 1932, 1865, 1915])).
% 1.69/1.84 tff(1950,plain,(ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.69/1.84 tff(1951,plain,
% 1.69/1.84 (ssPv1(skf1(skf1(elem!0)))),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1950, 1])).
% 1.69/1.84 tff(1952,plain,
% 1.69/1.84 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1122, 1951, 1, 1721])).
% 1.69/1.84 tff(1953,plain,
% 1.69/1.84 (ssPv4(skf1(elem!0))),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1895, 1951, 1682, 1863])).
% 1.69/1.84 tff(1954,plain,
% 1.69/1.84 (ssPv3(skf1(elem!0))),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1512, 1951, 1953, 1863])).
% 1.69/1.84 tff(1955,plain,
% 1.69/1.84 (~ssPv1(elem!0)),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1678, 1954, 1414, 1953])).
% 1.69/1.84 tff(1956,plain,
% 1.69/1.84 (ssPv2(elem!0)),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1528, 1954, 1953, 1951])).
% 1.69/1.84 tff(1957,plain,
% 1.69/1.84 (ssPv2(skf1(skf1(elem!0)))),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1520, 1956, 1414, 1954])).
% 1.69/1.84 tff(1958,plain,
% 1.69/1.84 (ssPv3(elem!0)),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1577, 1957, 1414, 1955])).
% 1.69/1.84 tff(1959,assumption,(ssPv3(elem!0)), introduced(assumption)).
% 1.69/1.84 tff(1960,plain,
% 1.69/1.84 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(elem!0)) | (~ssPv3(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))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(elem!0)) | (~ssPv3(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))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.84 inference(rewrite,[status(thm)],[])).
% 1.69/1.84 tff(1961,plain,
% 1.69/1.84 (((~ssPv4(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(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))))) <=> (ssPv2(skf1(elem!0)) | (~ssPv3(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))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.84 inference(rewrite,[status(thm)],[])).
% 1.69/1.84 tff(1962,plain,
% 1.69/1.84 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(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(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)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(elem!0)) | (~ssPv3(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))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))))),
% 1.69/1.84 inference(monotonicity,[status(thm)],[1961])).
% 1.69/1.84 tff(1963,plain,
% 1.69/1.84 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(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(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)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(elem!0)) | (~ssPv3(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))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.84 inference(transitivity,[status(thm)],[1962, 1960])).
% 1.69/1.84 tff(1964,plain,
% 1.69/1.84 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(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(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)))))),
% 1.69/1.84 inference(quant_inst,[status(thm)],[])).
% 1.69/1.84 tff(1965,plain,
% 1.69/1.84 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.84 inference(modus_ponens,[status(thm)],[1964, 1963])).
% 1.69/1.84 tff(1966,plain,
% 1.69/1.84 (ssPv2(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1965, 1324, 17, 15])).
% 1.69/1.84 tff(1967,plain,
% 1.69/1.84 (ssPv2(skf1(elem!0))),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1966, 784, 1414, 721])).
% 1.69/1.84 tff(1968,plain,
% 1.69/1.84 ($false),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1569, 1967, 784, 151, 1959])).
% 1.69/1.84 tff(1969,plain,((~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv3(elem!0)) | (~ssPv4(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.69/1.84 tff(1970,plain,
% 1.69/1.84 (~ssPv4(skf1(skf1(elem!0)))),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1969, 1955, 1958, 1682])).
% 1.69/1.84 tff(1971,plain,
% 1.69/1.84 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1274, 1970, 1863, 1952])).
% 1.69/1.84 tff(1972,plain,
% 1.69/1.84 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1640, 1970, 1414, 1952])).
% 1.69/1.84 tff(1973,plain,
% 1.69/1.84 ($false),
% 1.69/1.84 inference(unit_resolution,[status(thm)],[1648, 1972, 1970, 1971, 1913])).
% 1.69/1.84 tff(1974,plain,(ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.69/1.84 tff(1975,plain,
% 1.69/1.84 (((~![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)) | (~ssPv2(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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))))) | (~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)) | (~ssPv2(W)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.84 inference(rewrite,[status(thm)],[])).
% 1.69/1.84 tff(1976,plain,
% 1.69/1.84 ((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))))) | (~ssPv2(skf1(elem!0)))) <=> (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.84 inference(rewrite,[status(thm)],[])).
% 1.69/1.84 tff(1977,plain,
% 1.69/1.84 (((~![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)) | (~ssPv2(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))))) | (~ssPv2(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)) | (~ssPv2(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))))),
% 1.69/1.84 inference(monotonicity,[status(thm)],[1976])).
% 1.69/1.84 tff(1978,plain,
% 1.69/1.84 (((~![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)) | (~ssPv2(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))))) | (~ssPv2(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)) | (~ssPv2(W)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.84 inference(transitivity,[status(thm)],[1977, 1975])).
% 1.69/1.84 tff(1979,plain,
% 1.69/1.84 ((~![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)) | (~ssPv2(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))))) | (~ssPv2(skf1(elem!0))))),
% 1.69/1.85 inference(quant_inst,[status(thm)],[])).
% 1.69/1.85 tff(1980,plain,
% 1.69/1.85 ((~![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)) | (~ssPv2(W)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.85 inference(modus_ponens,[status(thm)],[1979, 1978])).
% 1.69/1.85 tff(1981,plain,
% 1.69/1.85 (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1980, 597, 17, 15])).
% 1.69/1.85 tff(1982,plain,
% 1.69/1.85 (~ssPv2(skf1(elem!0))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1981, 547, 1414, 1974])).
% 1.69/1.85 tff(1983,plain,
% 1.69/1.85 (ssPv2(skf1(skf1(elem!0)))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1149, 5, 1974, 1982])).
% 1.69/1.85 tff(1984,plain,
% 1.69/1.85 (ssPv4(skf1(elem!0))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1551, 1982, 1414, 547])).
% 1.69/1.85 tff(1985,plain,
% 1.69/1.85 (ssPv1(skf1(elem!0))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1439, 5, 1414, 1984])).
% 1.69/1.85 tff(1986,plain,
% 1.69/1.85 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(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] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.85 inference(rewrite,[status(thm)],[])).
% 1.69/1.85 tff(1987,plain,
% 1.69/1.85 (((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(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(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.85 inference(rewrite,[status(thm)],[])).
% 1.69/1.85 tff(1988,plain,
% 1.69/1.85 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(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(skf1(elem!0)), skf1(skf1(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] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))))),
% 1.69/1.85 inference(monotonicity,[status(thm)],[1987])).
% 1.69/1.85 tff(1989,plain,
% 1.69/1.85 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(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(skf1(elem!0)), skf1(skf1(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] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.85 inference(transitivity,[status(thm)],[1988, 1986])).
% 1.69/1.85 tff(1990,plain,
% 1.69/1.85 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(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(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.69/1.85 inference(quant_inst,[status(thm)],[])).
% 1.69/1.85 tff(1991,plain,
% 1.69/1.85 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.85 inference(modus_ponens,[status(thm)],[1990, 1989])).
% 1.69/1.85 tff(1992,plain,
% 1.69/1.85 ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1991, 823, 17, 15])).
% 1.69/1.85 tff(1993,plain,
% 1.69/1.85 (~ssPv4(skf1(skf1(elem!0)))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1992, 1985, 1414, 1974])).
% 1.69/1.85 tff(1994,plain,
% 1.69/1.85 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[762, 1993, 1974, 547])).
% 1.69/1.85 tff(1995,plain,
% 1.69/1.85 (~ssPv1(skf1(skf1(elem!0)))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[780, 1993, 2, 1994])).
% 1.69/1.85 tff(1996,plain,
% 1.69/1.85 ($false),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[519, 1995, 1994, 2, 1983])).
% 1.69/1.85 tff(1997,plain,(ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.69/1.85 tff(1998,plain,
% 1.69/1.85 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1997, 547, 2])).
% 1.69/1.85 tff(1999,plain,
% 1.69/1.85 (~ssPv4(skf1(skf1(elem!0)))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1966, 1998, 1414, 1982])).
% 1.69/1.85 tff(2000,plain,
% 1.69/1.85 ($false),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[738, 1999, 1998, 1982, 1974])).
% 1.69/1.85 tff(2001,plain,(ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.69/1.85 tff(2002,plain,
% 1.69/1.85 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[2001, 2])).
% 1.69/1.85 tff(2003,plain,
% 1.69/1.85 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1450, 5, 1414, 2002])).
% 1.69/1.85 tff(2004,plain,
% 1.69/1.85 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[642, 2003, 2, 5])).
% 1.69/1.85 tff(2005,plain,
% 1.69/1.85 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[529, 5, 1974, 2])).
% 1.69/1.85 tff(2006,plain,
% 1.69/1.85 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[632, 2004, 1974, 2003])).
% 1.69/1.85 tff(2007,plain,
% 1.69/1.85 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1718, 2006, 2, 2005])).
% 1.69/1.85 tff(2008,plain,
% 1.69/1.85 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(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] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.69/1.85 inference(rewrite,[status(thm)],[])).
% 1.69/1.85 tff(2009,plain,
% 1.69/1.85 ((ssPv1(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(skf1(elem!0)))))) | (~ssPv2(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(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(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)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.69/1.85 inference(rewrite,[status(thm)],[])).
% 1.69/1.85 tff(2010,plain,
% 1.69/1.85 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(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(skf1(elem!0)))))) | (~ssPv2(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(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] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.69/1.85 inference(monotonicity,[status(thm)],[2009])).
% 1.69/1.85 tff(2011,plain,
% 1.69/1.85 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(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(skf1(elem!0)))))) | (~ssPv2(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(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] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.69/1.85 inference(transitivity,[status(thm)],[2010, 2008])).
% 1.69/1.85 tff(2012,plain,
% 1.69/1.85 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(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(skf1(elem!0)))))) | (~ssPv2(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(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.69/1.85 inference(quant_inst,[status(thm)],[])).
% 1.69/1.85 tff(2013,plain,
% 1.69/1.85 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.85 inference(modus_ponens,[status(thm)],[2012, 2011])).
% 1.69/1.85 tff(2014,plain,
% 1.69/1.85 (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[2013, 1044, 459, 522])).
% 1.69/1.85 tff(2015,plain,
% 1.69/1.85 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[2014, 2007, 5, 2003])).
% 1.69/1.85 tff(2016,plain,
% 1.69/1.85 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1607, 2015, 5, 2005])).
% 1.69/1.85 tff(2017,plain,
% 1.69/1.85 ($false),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1195, 2016, 2015, 5, 2004])).
% 1.69/1.85 tff(2018,plain,(ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.69/1.85 tff(2019,plain,
% 1.69/1.85 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[2018, 2])).
% 1.69/1.85 tff(2020,plain,
% 1.69/1.85 (~ssPv4(skf1(skf1(elem!0)))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[791, 1620, 1974, 492])).
% 1.69/1.85 tff(2021,plain,
% 1.69/1.85 (~ssPv2(skf1(skf1(elem!0)))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1767, 1620, 1414, 587])).
% 1.69/1.85 tff(2022,plain,
% 1.69/1.85 ($false),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1340, 2021, 2020, 587, 1974])).
% 1.69/1.85 tff(2023,plain,(ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.69/1.85 tff(2024,plain,
% 1.69/1.85 (ssPv1(skf1(skf1(elem!0)))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[2023, 587, 2002])).
% 1.69/1.85 tff(2025,plain,
% 1.69/1.85 (ssPv4(skf1(elem!0))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1895, 2024, 2019, 2002])).
% 1.69/1.85 tff(2026,plain,
% 1.69/1.85 (ssPv3(skf1(elem!0))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1512, 2024, 2025, 2002])).
% 1.69/1.85 tff(2027,plain,
% 1.69/1.85 (~ssPv4(skf1(skf1(elem!0)))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1701, 2024, 2, 587])).
% 1.69/1.85 tff(2028,plain,
% 1.69/1.85 (~ssPv1(elem!0)),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1678, 2026, 1414, 2025])).
% 1.69/1.85 tff(2029,plain,
% 1.69/1.85 (ssPv2(skf1(skf1(elem!0)))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1307, 2024, 2, 2019])).
% 1.69/1.85 tff(2030,plain,
% 1.69/1.85 (ssPv1(skf1(elem!0))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[242, 2029, 2019, 2026])).
% 1.69/1.85 tff(2031,plain,
% 1.69/1.85 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(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))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(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))) | (~ssPv1(skf1(elem!0))))),
% 1.69/1.85 inference(rewrite,[status(thm)],[])).
% 1.69/1.85 tff(2032,plain,
% 1.69/1.85 (((~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(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) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0))))),
% 1.69/1.85 inference(rewrite,[status(thm)],[])).
% 1.69/1.85 tff(2033,plain,
% 1.69/1.85 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(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(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(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))) | (~ssPv1(skf1(elem!0)))))),
% 1.69/1.85 inference(monotonicity,[status(thm)],[2032])).
% 1.69/1.85 tff(2034,plain,
% 1.69/1.85 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(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(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(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))) | (~ssPv1(skf1(elem!0))))),
% 1.69/1.85 inference(transitivity,[status(thm)],[2033, 2031])).
% 1.69/1.85 tff(2035,plain,
% 1.69/1.85 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(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)))))),
% 1.69/1.85 inference(quant_inst,[status(thm)],[])).
% 1.69/1.85 tff(2036,plain,
% 1.69/1.85 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0)))),
% 1.69/1.85 inference(modus_ponens,[status(thm)],[2035, 2034])).
% 1.69/1.85 tff(2037,plain,
% 1.69/1.85 (ssPv4(elem!0) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0)))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[2036, 1232, 38, 17])).
% 1.69/1.85 tff(2038,plain,
% 1.69/1.85 (ssPv4(elem!0)),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[2037, 2027, 1414, 2030])).
% 1.69/1.85 tff(2039,plain,
% 1.69/1.85 ($false),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[411, 2038, 2028, 2027, 2026])).
% 1.69/1.85 tff(2040,plain,(ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.69/1.85 tff(2041,plain,
% 1.69/1.85 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[2040, 2])).
% 1.69/1.85 tff(2042,plain,
% 1.69/1.85 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1619, 492, 1414, 2002])).
% 1.69/1.85 tff(2043,plain,
% 1.69/1.85 (~ssPv4(skf1(skf1(elem!0)))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[791, 2042, 1974, 492])).
% 1.69/1.85 tff(2044,plain,
% 1.69/1.85 (~ssPv2(skf1(skf1(elem!0)))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[519, 492, 2, 2041])).
% 1.69/1.85 tff(2045,plain,
% 1.69/1.85 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[476, 2044, 1974, 2019])).
% 1.69/1.85 tff(2046,plain,
% 1.69/1.85 ($false),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1640, 2045, 2042, 1414, 2043])).
% 1.69/1.85 tff(2047,plain,(ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.69/1.85 tff(2048,plain,
% 1.69/1.85 (ssPv1(skf1(skf1(elem!0)))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[2047, 2])).
% 1.69/1.85 tff(2049,plain,
% 1.69/1.85 (ssPv4(skf1(skf1(elem!0)))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[780, 2048, 2, 2041])).
% 1.69/1.85 tff(2050,plain,
% 1.69/1.85 (ssPv4(skf1(elem!0))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1895, 2048, 2019, 2002])).
% 1.69/1.85 tff(2051,plain,
% 1.69/1.85 (ssPv3(skf1(elem!0))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1512, 2048, 2050, 2002])).
% 1.69/1.85 tff(2052,plain,
% 1.69/1.85 (ssPv2(skf1(skf1(elem!0)))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1307, 2048, 2, 2019])).
% 1.69/1.85 tff(2053,plain,
% 1.69/1.85 (ssPv1(skf1(elem!0))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[242, 2052, 2019, 2051])).
% 1.69/1.85 tff(2054,plain,
% 1.69/1.85 ($false),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1992, 2053, 2049, 1414, 1974])).
% 1.69/1.85 tff(2055,plain,(ssPv3(skf1(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.69/1.85 tff(2056,plain,
% 1.69/1.85 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[604, 1983, 1974, 2055])).
% 1.69/1.85 tff(2057,plain,
% 1.69/1.85 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[771, 1993, 2055, 2056])).
% 1.69/1.85 tff(2058,plain,
% 1.69/1.85 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[686, 2056, 1974, 547, 5])).
% 1.69/1.85 tff(2059,plain,
% 1.69/1.85 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1736, 2058, 2055, 547])).
% 1.69/1.85 tff(2060,plain,
% 1.69/1.85 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(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(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.69/1.85 inference(rewrite,[status(thm)],[])).
% 1.69/1.85 tff(2061,plain,
% 1.69/1.85 (((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(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)))))) | 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(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(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))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.69/1.85 inference(rewrite,[status(thm)],[])).
% 1.69/1.85 tff(2062,plain,
% 1.69/1.85 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(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)))))) | 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(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(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.69/1.85 inference(monotonicity,[status(thm)],[2061])).
% 1.69/1.85 tff(2063,plain,
% 1.69/1.85 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(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)))))) | 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(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(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.69/1.85 inference(transitivity,[status(thm)],[2062, 2060])).
% 1.69/1.85 tff(2064,plain,
% 1.69/1.85 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(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)))))) | 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(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.69/1.85 inference(quant_inst,[status(thm)],[])).
% 1.69/1.85 tff(2065,plain,
% 1.69/1.85 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.85 inference(modus_ponens,[status(thm)],[2064, 2063])).
% 1.69/1.85 tff(2066,plain,
% 1.69/1.85 (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[2065, 1232, 15, 459])).
% 1.69/1.85 tff(2067,plain,
% 1.69/1.85 ($false),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[2066, 2059, 2057, 2055, 1993])).
% 1.69/1.85 tff(2068,plain,(ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.69/1.85 tff(2069,plain,
% 1.69/1.85 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[2068, 547])).
% 1.69/1.85 tff(2070,plain,
% 1.69/1.85 (~ssPv4(skf1(skf1(elem!0)))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1966, 2069, 1414, 1982])).
% 1.69/1.85 tff(2071,plain,
% 1.69/1.85 ($false),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[738, 2070, 2069, 1982, 1974])).
% 1.69/1.85 tff(2072,plain,(ssPv2(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.69/1.85 tff(2073,plain,
% 1.69/1.85 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1450, 5, 1414, 2072])).
% 1.69/1.85 tff(2074,plain,
% 1.69/1.85 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[771, 720, 2055, 635])).
% 1.69/1.85 tff(2075,plain,
% 1.69/1.85 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[2066, 2074, 2055, 720])).
% 1.69/1.85 tff(2076,plain,
% 1.69/1.85 ($false),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1648, 2075, 2074, 635, 720])).
% 1.69/1.85 tff(2077,plain,(ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))), inference(lemma,lemma(discharge,[]))).
% 1.69/1.85 tff(2078,plain,
% 1.69/1.85 (ssPv4(skf1(skf1(elem!0)))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[2077, 2073])).
% 1.69/1.85 tff(2079,plain,
% 1.69/1.85 (~ssPv1(skf1(elem!0))),
% 1.69/1.85 inference(unit_resolution,[status(thm)],[1992, 2078, 1414, 1974])).
% 1.69/1.85 tff(2080,plain,
% 1.69/1.85 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(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))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(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))))))),
% 1.69/1.85 inference(rewrite,[status(thm)],[])).
% 1.69/1.85 tff(2081,plain,
% 1.69/1.85 ((ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> (ssPv1(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(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))))))),
% 1.69/1.85 inference(rewrite,[status(thm)],[])).
% 1.69/1.85 tff(2082,plain,
% 1.69/1.85 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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(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)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(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)))))))),
% 1.69/1.85 inference(monotonicity,[status(thm)],[2081])).
% 1.69/1.85 tff(2083,plain,
% 1.69/1.85 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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(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)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(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))))))),
% 1.69/1.86 inference(transitivity,[status(thm)],[2082, 2080])).
% 1.69/1.86 tff(2084,plain,
% 1.69/1.86 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.69/1.86 inference(quant_inst,[status(thm)],[])).
% 1.69/1.86 tff(2085,plain,
% 1.69/1.86 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(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)))))),
% 1.69/1.86 inference(modus_ponens,[status(thm)],[2084, 2083])).
% 1.69/1.86 tff(2086,plain,
% 1.69/1.86 (ssPv1(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.86 inference(unit_resolution,[status(thm)],[2085, 504, 17, 15])).
% 1.69/1.86 tff(2087,plain,
% 1.69/1.86 (ssPv1(skf1(skf1(elem!0)))),
% 1.69/1.86 inference(unit_resolution,[status(thm)],[2086, 2079, 1414, 1974])).
% 1.69/1.86 tff(2088,plain,
% 1.69/1.86 (~ssPv4(skf1(elem!0))),
% 1.69/1.86 inference(unit_resolution,[status(thm)],[1439, 2079, 1414, 5])).
% 1.69/1.86 tff(2089,plain,
% 1.69/1.86 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(elem!0)) | (~ssPv1(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))))) | ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(elem!0)) | (~ssPv1(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))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.86 inference(rewrite,[status(thm)],[])).
% 1.69/1.86 tff(2090,plain,
% 1.69/1.86 (((~ssPv1(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))))) | ssPv4(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)) | (~ssPv1(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))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.86 inference(rewrite,[status(thm)],[])).
% 1.69/1.86 tff(2091,plain,
% 1.69/1.86 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(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))))) | ssPv4(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(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(elem!0)) | (~ssPv1(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))))) | ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.69/1.86 inference(monotonicity,[status(thm)],[2090])).
% 1.69/1.86 tff(2092,plain,
% 1.69/1.86 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(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))))) | ssPv4(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(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(elem!0)) | (~ssPv1(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))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.86 inference(transitivity,[status(thm)],[2091, 2089])).
% 1.69/1.86 tff(2093,plain,
% 1.69/1.86 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(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))))) | ssPv4(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))))))),
% 1.69/1.86 inference(quant_inst,[status(thm)],[])).
% 1.69/1.86 tff(2094,plain,
% 1.69/1.86 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.69/1.86 inference(modus_ponens,[status(thm)],[2093, 2092])).
% 1.69/1.86 tff(2095,plain,
% 1.69/1.86 (ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.69/1.86 inference(unit_resolution,[status(thm)],[2094, 1232, 17, 15])).
% 1.69/1.86 tff(2096,plain,
% 1.69/1.86 ($false),
% 1.69/1.86 inference(unit_resolution,[status(thm)],[2095, 2088, 2087, 1974, 5])).
% 1.69/1.86 tff(2097,plain,(ssPv4(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.69/1.86 tff(2098,plain,
% 1.69/1.86 (~ssPv1(skf1(skf1(elem!0)))),
% 1.69/1.86 inference(unit_resolution,[status(thm)],[830, 2097, 1974, 2055])).
% 1.69/1.86 tff(2099,plain,
% 1.69/1.86 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.69/1.86 inference(unit_resolution,[status(thm)],[511, 2098, 1974, 2055])).
% 1.69/1.86 tff(2100,plain,
% 1.69/1.86 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.69/1.86 inference(unit_resolution,[status(thm)],[1619, 2098, 1414, 2072])).
% 1.69/1.86 tff(2101,plain,
% 1.69/1.86 (~ssPv4(skf1(skf1(elem!0)))),
% 1.69/1.86 inference(unit_resolution,[status(thm)],[791, 2100, 1974, 2098])).
% 1.69/1.86 tff(2102,plain,
% 1.69/1.86 ($false),
% 1.69/1.86 inference(unit_resolution,[status(thm)],[2066, 2101, 2100, 2055, 2099])).
% 1.69/1.86 % SZS output end Proof
% 1.69/1.86 % E exiting
%------------------------------------------------------------------------------