%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN762-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n015.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 1.38s 1.58s
% Output : Proof 1.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN762-1 : TPTP v9.0.0. Released v2.5.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n015.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 12:42:26 EDT 2025
% 0.13/0.35 % CPUTime :
% 1.38/1.58 % SZS status Unsatisfiable
% 1.38/1.58 % SZS output start Proof
% 1.38/1.58 tff(ssPv4_type, type, (
% 1.38/1.58 ssPv4: $i > $o)).
% 1.38/1.58 tff(skf1_type, type, (
% 1.38/1.58 skf1: $i > $i)).
% 1.38/1.58 tff(elem_0_type, type, (
% 1.38/1.58 elem_0: $i)).
% 1.38/1.58 tff(ssPv3_type, type, (
% 1.38/1.58 ssPv3: $i > $o)).
% 1.38/1.58 tff(ssPv2_type, type, (
% 1.38/1.58 ssPv2: $i > $o)).
% 1.38/1.58 tff(ssPv1_type, type, (
% 1.38/1.58 ssPv1: $i > $o)).
% 1.38/1.58 tff(ssRr_type, type, (
% 1.38/1.58 ssRr: ( $i * $i ) > $o)).
% 1.38/1.58 tff(1,assumption,(~ssPv3(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.38/1.58 tff(2,assumption,(~ssPv4(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.38/1.58 tff(3,assumption,(~ssPv3(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.38/1.58 tff(4,assumption,(~ssPv1(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.38/1.58 tff(5,assumption,(~ssPv4(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.38/1.58 tff(6,assumption,(~ssPv1(skf1(elem!0))), introduced(assumption)).
% 1.38/1.58 tff(7,assumption,(~ssPv3(skf1(elem!0))), introduced(assumption)).
% 1.38/1.58 tff(8,plain,
% 1.38/1.58 (^[U: $i] : refl(ssRr(U, skf1(U)) <=> ssRr(U, skf1(U)))),
% 1.38/1.58 inference(bind,[status(th)],[])).
% 1.38/1.58 tff(9,plain,
% 1.38/1.58 (![U: $i] : ssRr(U, skf1(U)) <=> ![U: $i] : ssRr(U, skf1(U))),
% 1.38/1.58 inference(quant_intro,[status(thm)],[8])).
% 1.38/1.58 tff(10,plain,
% 1.38/1.58 (![U: $i] : ssRr(U, skf1(U)) <=> ![U: $i] : ssRr(U, skf1(U))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(11,axiom,(![U: $i] : ssRr(U, skf1(U))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause1')).
% 1.38/1.58 tff(12,plain,
% 1.38/1.58 (![U: $i] : ssRr(U, skf1(U))),
% 1.38/1.58 inference(modus_ponens,[status(thm)],[11, 10])).
% 1.38/1.58 tff(13,plain,(
% 1.38/1.58 ![U: $i] : ssRr(U, skf1(U))),
% 1.38/1.58 inference(skolemize,[status(sab)],[12])).
% 1.38/1.58 tff(14,plain,
% 1.38/1.58 (![U: $i] : ssRr(U, skf1(U))),
% 1.38/1.58 inference(modus_ponens,[status(thm)],[13, 9])).
% 1.38/1.58 tff(15,plain,
% 1.38/1.58 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(elem!0), skf1(skf1(elem!0)))),
% 1.38/1.58 inference(quant_inst,[status(thm)],[])).
% 1.38/1.58 tff(16,plain,
% 1.38/1.58 (ssRr(skf1(elem!0), skf1(skf1(elem!0)))),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[15, 14])).
% 1.38/1.58 tff(17,plain,
% 1.38/1.58 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(elem!0, skf1(elem!0))),
% 1.38/1.58 inference(quant_inst,[status(thm)],[])).
% 1.38/1.58 tff(18,plain,
% 1.38/1.58 (ssRr(elem!0, skf1(elem!0))),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[17, 14])).
% 1.38/1.58 tff(19,plain,
% 1.38/1.58 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) <=> (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))),
% 1.38/1.58 inference(bind,[status(th)],[])).
% 1.38/1.58 tff(20,plain,
% 1.38/1.58 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.38/1.58 inference(quant_intro,[status(thm)],[19])).
% 1.38/1.58 tff(21,plain,
% 1.38/1.58 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(22,plain,
% 1.38/1.58 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(W))) <=> (((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(W))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(W))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(W))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(W))) | ssPv4(V)) <=> (((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv4(V)))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv4(V)) <=> ((~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(W))) | ssPv4(V)) <=> ((~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(W))) | ssPv4(V)) | ssPv3(Y)) <=> (((~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv3(Y)))), rewrite((((~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(W))) | ssPv4(V)) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))), ((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(W))) | ssPv4(V)) | ssPv3(Y)) | ssPv1(Z)) <=> ((ssPv3(Y) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv1(Z)))), rewrite(((ssPv3(Y) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv1(Z)) <=> (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), ((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(W))) | ssPv4(V)) | ssPv3(Y)) | ssPv1(Z)) <=> (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))))),
% 1.38/1.58 inference(bind,[status(th)],[])).
% 1.38/1.58 tff(23,plain,
% 1.38/1.58 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(W))) | ssPv4(V)) | ssPv3(Y)) | ssPv1(Z)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.38/1.58 inference(quant_intro,[status(thm)],[22])).
% 1.38/1.58 tff(24,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(W))) | ssPv4(V)) | ssPv3(Y)) | ssPv1(Z))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause39')).
% 1.38/1.58 tff(25,plain,
% 1.38/1.58 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.38/1.58 inference(modus_ponens,[status(thm)],[24, 23])).
% 1.38/1.58 tff(26,plain,
% 1.38/1.58 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.38/1.58 inference(modus_ponens,[status(thm)],[25, 21])).
% 1.38/1.58 tff(27,plain,(
% 1.38/1.58 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.38/1.58 inference(skolemize,[status(sab)],[26])).
% 1.38/1.58 tff(28,plain,
% 1.38/1.58 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.38/1.58 inference(modus_ponens,[status(thm)],[27, 20])).
% 1.38/1.58 tff(29,plain,
% 1.38/1.58 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(30,plain,
% 1.38/1.59 ((ssPv3(skf1(skf1(elem!0))) | ssPv1(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)))) | (~ssPv4(elem!0))) <=> (ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(31,plain,
% 1.38/1.59 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(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)))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0))))),
% 1.38/1.59 inference(monotonicity,[status(thm)],[30])).
% 1.38/1.59 tff(32,plain,
% 1.38/1.59 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(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)))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)))),
% 1.38/1.59 inference(transitivity,[status(thm)],[31, 29])).
% 1.38/1.59 tff(33,plain,
% 1.38/1.59 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(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)))) | (~ssPv4(elem!0)))),
% 1.38/1.59 inference(quant_inst,[status(thm)],[])).
% 1.38/1.59 tff(34,plain,
% 1.38/1.59 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[33, 32])).
% 1.38/1.59 tff(35,plain,
% 1.38/1.59 (ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(elem!0))),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[34, 28, 18, 16])).
% 1.38/1.59 tff(36,plain,
% 1.38/1.59 (~ssPv4(elem!0)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[35, 1, 6, 5])).
% 1.38/1.59 tff(37,assumption,(~ssPv3(elem!0)), introduced(assumption)).
% 1.38/1.59 tff(38,plain,
% 1.38/1.59 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W)) <=> (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W)))),
% 1.38/1.59 inference(bind,[status(th)],[])).
% 1.38/1.59 tff(39,plain,
% 1.38/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(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] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))),
% 1.38/1.59 inference(quant_intro,[status(thm)],[38])).
% 1.38/1.59 tff(40,plain,
% 1.38/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(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] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(41,plain,
% 1.38/1.59 (^[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))) | ssPv4(V)) <=> (((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(V)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(V)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(V)) | ssPv2(Y)) <=> ((ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Y)))), rewrite(((ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Y)) <=> (ssPv2(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(V)) | ssPv2(Y)) <=> (ssPv2(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(V)) | ssPv2(Y)) | ssPv3(W)) <=> ((ssPv2(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)))), rewrite(((ssPv2(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)) <=> (ssPv2(Y) | ssPv4(V) | ssPv3(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))) | ssPv4(V)) | ssPv2(Y)) | ssPv3(W)) <=> (ssPv2(Y) | ssPv4(V) | ssPv3(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))) | ssPv4(V)) | ssPv2(Y)) | ssPv3(W)) | ssPv4(W)) <=> ((ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)))), rewrite(((ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)) <=> (ssPv2(Y) | ssPv4(V) | ssPv3(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))) | ssPv4(V)) | ssPv2(Y)) | ssPv3(W)) | ssPv4(W)) <=> (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))))),
% 1.38/1.59 inference(bind,[status(th)],[])).
% 1.38/1.59 tff(42,plain,
% 1.38/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(V)) | ssPv2(Y)) | ssPv3(W)) | ssPv4(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))),
% 1.38/1.59 inference(quant_intro,[status(thm)],[41])).
% 1.38/1.59 tff(43,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(V)) | ssPv2(Y)) | ssPv3(W)) | ssPv4(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause25')).
% 1.38/1.59 tff(44,plain,
% 1.38/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[43, 42])).
% 1.38/1.59 tff(45,plain,
% 1.38/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[44, 40])).
% 1.38/1.59 tff(46,plain,(
% 1.38/1.59 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))),
% 1.38/1.59 inference(skolemize,[status(sab)],[45])).
% 1.38/1.59 tff(47,plain,
% 1.38/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[46, 39])).
% 1.38/1.59 tff(48,plain,
% 1.38/1.59 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv4(elem!0) | ssPv3(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ssPv4(elem!0) | ssPv3(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(49,plain,
% 1.38/1.59 ((ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(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)) <=> (ssPv4(elem!0) | ssPv3(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(50,plain,
% 1.38/1.59 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(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] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv4(elem!0) | ssPv3(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0)))))),
% 1.38/1.59 inference(monotonicity,[status(thm)],[49])).
% 1.38/1.59 tff(51,plain,
% 1.38/1.59 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(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] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ssPv4(elem!0) | ssPv3(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))))),
% 1.38/1.59 inference(transitivity,[status(thm)],[50, 48])).
% 1.38/1.59 tff(52,plain,
% 1.38/1.59 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(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))),
% 1.38/1.59 inference(quant_inst,[status(thm)],[])).
% 1.38/1.59 tff(53,plain,
% 1.38/1.59 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ssPv4(elem!0) | ssPv3(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0)))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[52, 51])).
% 1.38/1.59 tff(54,plain,
% 1.38/1.59 (ssPv4(elem!0) | ssPv3(elem!0) | ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0)))),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[53, 47, 18, 16])).
% 1.38/1.59 tff(55,plain,
% 1.38/1.59 (ssPv2(skf1(skf1(elem!0)))),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[54, 37, 5, 36])).
% 1.38/1.59 tff(56,plain,
% 1.38/1.59 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.38/1.59 inference(bind,[status(th)],[])).
% 1.38/1.59 tff(57,plain,
% 1.38/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(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] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.38/1.59 inference(quant_intro,[status(thm)],[56])).
% 1.38/1.59 tff(58,plain,
% 1.38/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(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] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(59,plain,
% 1.38/1.59 (^[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))) | ssPv4(V)) <=> (((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(V)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(V)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(V)) | 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)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(V)) | ssPv3(Y)) <=> (ssPv3(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(V)) | 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)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(V)) | 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)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(V)) | ssPv3(Y)) | ssPv1(W)) | ssPv3(W)) <=> ((ssPv3(Y) | ssPv4(V) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)))), rewrite(((ssPv3(Y) | ssPv4(V) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)) <=> (ssPv3(Y) | ssPv4(V) | 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))) | ssPv4(V)) | ssPv3(Y)) | ssPv1(W)) | ssPv3(W)) <=> (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.38/1.59 inference(bind,[status(th)],[])).
% 1.38/1.59 tff(60,plain,
% 1.38/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(V)) | ssPv3(Y)) | ssPv1(W)) | ssPv3(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.38/1.59 inference(quant_intro,[status(thm)],[59])).
% 1.38/1.59 tff(61,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv4(V)) | ssPv3(Y)) | ssPv1(W)) | ssPv3(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause24')).
% 1.38/1.59 tff(62,plain,
% 1.38/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[61, 60])).
% 1.38/1.59 tff(63,plain,
% 1.38/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[62, 58])).
% 1.38/1.59 tff(64,plain,(
% 1.38/1.59 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.38/1.59 inference(skolemize,[status(sab)],[63])).
% 1.38/1.59 tff(65,plain,
% 1.38/1.59 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[64, 57])).
% 1.38/1.59 tff(66,plain,
% 1.38/1.59 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(elem!0) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(elem!0) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(67,plain,
% 1.38/1.59 ((ssPv3(skf1(skf1(elem!0))) | ssPv4(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) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(68,plain,
% 1.38/1.59 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv4(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(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(elem!0) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0)))))),
% 1.38/1.59 inference(monotonicity,[status(thm)],[67])).
% 1.38/1.59 tff(69,plain,
% 1.38/1.59 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv4(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(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(elem!0) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.38/1.59 inference(transitivity,[status(thm)],[68, 66])).
% 1.38/1.59 tff(70,plain,
% 1.38/1.59 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv4(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)))))),
% 1.38/1.59 inference(quant_inst,[status(thm)],[])).
% 1.38/1.59 tff(71,plain,
% 1.38/1.59 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(elem!0) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0)))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[70, 69])).
% 1.38/1.59 tff(72,plain,
% 1.38/1.59 (ssPv3(elem!0) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(elem!0)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[71, 65, 18, 16])).
% 1.38/1.59 tff(73,plain,
% 1.38/1.59 (ssPv1(elem!0)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[72, 37, 1, 5])).
% 1.38/1.59 tff(74,plain,
% 1.38/1.59 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W))) <=> ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W))))),
% 1.38/1.59 inference(bind,[status(th)],[])).
% 1.38/1.59 tff(75,plain,
% 1.38/1.59 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))),
% 1.38/1.59 inference(quant_intro,[status(thm)],[74])).
% 1.38/1.59 tff(76,plain,
% 1.38/1.59 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(77,plain,
% 1.38/1.59 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv2(V))) <=> ((~ssPv2(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> (((~ssPv2(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv2(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> (((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))))), rewrite((((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(X)) <=> (((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv1(X)))), rewrite((((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv1(X)) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(X)) <=> ((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W))))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(X)) | ssPv4(W)) <=> (((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W))) | ssPv4(W)))), rewrite((((~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W))) | ssPv4(W)) <=> ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(X)) | ssPv4(W)) <=> ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))))),
% 1.38/1.59 inference(bind,[status(th)],[])).
% 1.38/1.59 tff(78,plain,
% 1.38/1.59 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(X)) | ssPv4(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))),
% 1.38/1.59 inference(quant_intro,[status(thm)],[77])).
% 1.38/1.59 tff(79,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(X)) | ssPv4(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause12')).
% 1.38/1.59 tff(80,plain,
% 1.38/1.59 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[79, 78])).
% 1.38/1.59 tff(81,plain,
% 1.38/1.59 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[80, 76])).
% 1.38/1.59 tff(82,plain,(
% 1.38/1.59 ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))),
% 1.38/1.59 inference(skolemize,[status(sab)],[81])).
% 1.38/1.59 tff(83,plain,
% 1.38/1.59 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[82, 75])).
% 1.38/1.59 tff(84,plain,
% 1.38/1.59 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | (ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(85,plain,
% 1.38/1.59 (((~ssPv2(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssPv1(elem!0))) <=> (ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(86,plain,
% 1.38/1.59 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | ((~ssPv2(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssPv1(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | (ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0))))))),
% 1.38/1.59 inference(monotonicity,[status(thm)],[85])).
% 1.38/1.59 tff(87,plain,
% 1.38/1.59 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | ((~ssPv2(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssPv1(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.38/1.59 inference(transitivity,[status(thm)],[86, 84])).
% 1.38/1.59 tff(88,plain,
% 1.38/1.59 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | ((~ssPv2(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssPv1(elem!0)))),
% 1.38/1.59 inference(quant_inst,[status(thm)],[])).
% 1.38/1.59 tff(89,plain,
% 1.38/1.59 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0))))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[88, 87])).
% 1.38/1.59 tff(90,plain,
% 1.38/1.59 (ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssPv1(elem!0)) | (~ssPv2(skf1(skf1(elem!0))))),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[89, 83, 18, 16])).
% 1.38/1.59 tff(91,plain,
% 1.38/1.59 ($false),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[90, 73, 55, 6, 36])).
% 1.38/1.59 tff(92,plain,(ssPv3(elem!0) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.38/1.59 tff(93,plain,
% 1.38/1.59 (ssPv3(elem!0)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[92, 1, 6, 5])).
% 1.38/1.59 tff(94,plain,
% 1.38/1.59 (^[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))))),
% 1.38/1.59 inference(bind,[status(th)],[])).
% 1.38/1.59 tff(95,plain,
% 1.38/1.59 (![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))) <=> ![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)))),
% 1.38/1.59 inference(quant_intro,[status(thm)],[94])).
% 1.38/1.59 tff(96,plain,
% 1.38/1.59 (![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))) <=> ![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)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(97,plain,
% 1.38/1.59 (^[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)))))),
% 1.38/1.59 inference(bind,[status(th)],[])).
% 1.38/1.59 tff(98,plain,
% 1.38/1.59 (![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)))),
% 1.38/1.59 inference(quant_intro,[status(thm)],[97])).
% 1.38/1.59 tff(99,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/sandbox2/benchmark/theBenchmark.p','clause27')).
% 1.38/1.59 tff(100,plain,
% 1.38/1.59 (![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)))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[99, 98])).
% 1.38/1.59 tff(101,plain,
% 1.38/1.59 (![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)))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[100, 96])).
% 1.38/1.59 tff(102,plain,(
% 1.38/1.59 ![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)))),
% 1.38/1.59 inference(skolemize,[status(sab)],[101])).
% 1.38/1.59 tff(103,plain,
% 1.38/1.59 (![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)))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[102, 95])).
% 1.38/1.59 tff(104,plain,
% 1.38/1.59 (((~![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(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, 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(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(105,plain,
% 1.38/1.59 ((ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssPv3(elem!0))) <=> (ssPv4(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(106,plain,
% 1.38/1.59 (((~![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(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssPv3(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(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0)))))),
% 1.38/1.60 inference(monotonicity,[status(thm)],[105])).
% 1.38/1.60 tff(107,plain,
% 1.38/1.60 (((~![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(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssPv3(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(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.38/1.60 inference(transitivity,[status(thm)],[106, 104])).
% 1.38/1.60 tff(108,plain,
% 1.38/1.60 ((~![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(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssPv3(elem!0)))),
% 1.38/1.60 inference(quant_inst,[status(thm)],[])).
% 1.38/1.60 tff(109,plain,
% 1.38/1.60 ((~![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(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0)))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[108, 107])).
% 1.38/1.60 tff(110,plain,
% 1.38/1.60 (ssPv4(elem!0) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(elem!0))),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[109, 103, 18, 16])).
% 1.38/1.60 tff(111,plain,
% 1.38/1.60 (ssPv1(skf1(skf1(elem!0)))),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[110, 93, 36, 5])).
% 1.38/1.60 tff(112,plain,
% 1.38/1.60 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W))) <=> (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W))))),
% 1.38/1.60 inference(bind,[status(th)],[])).
% 1.38/1.60 tff(113,plain,
% 1.38/1.60 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))),
% 1.38/1.60 inference(quant_intro,[status(thm)],[112])).
% 1.38/1.60 tff(114,plain,
% 1.38/1.60 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(115,plain,
% 1.38/1.60 (^[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)) <=> (ssPv2(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) <=> (ssPv2(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv1(X)) <=> ((ssPv2(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv1(X)))), rewrite(((ssPv2(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv1(X)) <=> (ssPv2(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv1(X)) <=> (ssPv2(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv1(X)) | ssPv4(W)) <=> ((ssPv2(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W))) | ssPv4(W)))), rewrite(((ssPv2(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W))) | ssPv4(W)) <=> (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv1(X)) | ssPv4(W)) <=> (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))))),
% 1.38/1.60 inference(bind,[status(th)],[])).
% 1.38/1.60 tff(116,plain,
% 1.38/1.60 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv1(X)) | ssPv4(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))),
% 1.38/1.60 inference(quant_intro,[status(thm)],[115])).
% 1.38/1.60 tff(117,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv1(X)) | ssPv4(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause9')).
% 1.38/1.60 tff(118,plain,
% 1.38/1.60 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[117, 116])).
% 1.38/1.60 tff(119,plain,
% 1.38/1.60 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[118, 114])).
% 1.38/1.60 tff(120,plain,(
% 1.38/1.60 ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))),
% 1.38/1.60 inference(skolemize,[status(sab)],[119])).
% 1.38/1.60 tff(121,plain,
% 1.38/1.60 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[120, 113])).
% 1.38/1.60 tff(122,plain,
% 1.38/1.60 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(123,plain,
% 1.38/1.60 ((ssPv2(skf1(skf1(elem!0))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssPv3(elem!0))) <=> (ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(124,plain,
% 1.38/1.60 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssPv3(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0)))))),
% 1.38/1.60 inference(monotonicity,[status(thm)],[123])).
% 1.38/1.60 tff(125,plain,
% 1.38/1.60 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssPv3(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))))),
% 1.38/1.60 inference(transitivity,[status(thm)],[124, 122])).
% 1.38/1.60 tff(126,plain,
% 1.38/1.60 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssPv3(elem!0)))),
% 1.38/1.60 inference(quant_inst,[status(thm)],[])).
% 1.38/1.60 tff(127,plain,
% 1.38/1.60 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0)))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[126, 125])).
% 1.38/1.60 tff(128,plain,
% 1.38/1.60 (ssPv4(elem!0) | ssPv1(skf1(elem!0)) | (~ssPv3(elem!0)) | ssPv2(skf1(skf1(elem!0)))),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[127, 121, 18, 16])).
% 1.38/1.60 tff(129,plain,
% 1.38/1.60 (ssPv2(skf1(skf1(elem!0)))),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[128, 93, 6, 36])).
% 1.38/1.60 tff(130,plain,
% 1.38/1.60 (~ssPv1(elem!0)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[90, 129, 6, 36])).
% 1.38/1.60 tff(131,plain,
% 1.38/1.60 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) <=> (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)))),
% 1.38/1.60 inference(bind,[status(th)],[])).
% 1.38/1.60 tff(132,plain,
% 1.38/1.60 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.38/1.60 inference(quant_intro,[status(thm)],[131])).
% 1.38/1.60 tff(133,plain,
% 1.38/1.60 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(134,plain,
% 1.38/1.60 (^[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)) | (~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))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) <=> (((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Y)))), rewrite((((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv2(Z)) <=> ((ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Z)))), rewrite(((ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Z)) <=> (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv2(Z)) <=> (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv2(Z)) | ssPv1(W)) <=> ((ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)))), rewrite(((ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)) <=> (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))), ((((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv2(Z)) | ssPv1(W)) <=> (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))))),
% 1.38/1.60 inference(bind,[status(th)],[])).
% 1.38/1.60 tff(135,plain,
% 1.38/1.60 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv2(Z)) | ssPv1(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.38/1.60 inference(quant_intro,[status(thm)],[134])).
% 1.38/1.60 tff(136,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv2(Z)) | ssPv1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause40')).
% 1.38/1.60 tff(137,plain,
% 1.38/1.60 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[136, 135])).
% 1.38/1.60 tff(138,plain,
% 1.38/1.60 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[137, 133])).
% 1.38/1.60 tff(139,plain,(
% 1.38/1.60 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.38/1.60 inference(skolemize,[status(sab)],[138])).
% 1.38/1.60 tff(140,plain,
% 1.38/1.60 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[139, 132])).
% 1.38/1.60 tff(141,plain,
% 1.38/1.60 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv2(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv2(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(142,plain,
% 1.38/1.60 ((ssPv4(skf1(skf1(elem!0))) | ssPv2(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)))) | ssPv1(elem!0)) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv2(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(143,plain,
% 1.38/1.60 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv4(skf1(skf1(elem!0))) | ssPv2(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)))) | ssPv1(elem!0))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv2(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0))))))),
% 1.38/1.60 inference(monotonicity,[status(thm)],[142])).
% 1.38/1.60 tff(144,plain,
% 1.38/1.60 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv4(skf1(skf1(elem!0))) | ssPv2(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)))) | ssPv1(elem!0))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv2(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.38/1.60 inference(transitivity,[status(thm)],[143, 141])).
% 1.38/1.60 tff(145,plain,
% 1.38/1.60 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv4(skf1(skf1(elem!0))) | ssPv2(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)))) | ssPv1(elem!0))),
% 1.38/1.60 inference(quant_inst,[status(thm)],[])).
% 1.38/1.60 tff(146,plain,
% 1.38/1.60 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv2(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0))))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[145, 144])).
% 1.38/1.60 tff(147,plain,
% 1.38/1.60 (ssPv4(skf1(skf1(elem!0))) | ssPv1(elem!0) | ssPv2(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0))))),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[146, 140, 18, 16])).
% 1.38/1.60 tff(148,plain,
% 1.38/1.60 (ssPv2(skf1(elem!0))),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[147, 129, 5, 130])).
% 1.38/1.60 tff(149,plain,
% 1.38/1.60 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))),
% 1.38/1.60 inference(quant_inst,[status(thm)],[])).
% 1.38/1.60 tff(150,plain,
% 1.38/1.60 (ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[149, 14])).
% 1.38/1.60 tff(151,plain,
% 1.38/1.60 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W))) <=> (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W))))),
% 1.38/1.60 inference(bind,[status(th)],[])).
% 1.38/1.60 tff(152,plain,
% 1.38/1.60 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))),
% 1.38/1.60 inference(quant_intro,[status(thm)],[151])).
% 1.38/1.60 tff(153,plain,
% 1.38/1.60 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(154,plain,
% 1.38/1.60 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv2(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X))) | (~ssPv2(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X))) | (~ssPv2(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv2(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv2(W))) | (~ssPv4(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W))) | (~ssPv4(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W))) | (~ssPv4(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv2(W))) | (~ssPv4(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv2(W))) | (~ssPv4(W))) | ssPv3(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W))) | ssPv3(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv2(W))) | (~ssPv4(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))))),
% 1.38/1.60 inference(bind,[status(th)],[])).
% 1.38/1.60 tff(155,plain,
% 1.38/1.60 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv2(W))) | (~ssPv4(W))) | ssPv3(V)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))),
% 1.38/1.60 inference(quant_intro,[status(thm)],[154])).
% 1.38/1.60 tff(156,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv2(W))) | (~ssPv4(W))) | ssPv3(V))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause19')).
% 1.38/1.60 tff(157,plain,
% 1.38/1.60 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[156, 155])).
% 1.38/1.60 tff(158,plain,
% 1.38/1.60 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[157, 153])).
% 1.38/1.60 tff(159,plain,(
% 1.38/1.60 ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))),
% 1.38/1.60 inference(skolemize,[status(sab)],[158])).
% 1.38/1.60 tff(160,plain,
% 1.38/1.60 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[159, 152])).
% 1.38/1.60 tff(161,plain,
% 1.38/1.60 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(162,plain,
% 1.38/1.60 ((ssPv3(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))))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(elem!0)))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(163,plain,
% 1.38/1.60 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (ssPv3(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))))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.38/1.60 inference(monotonicity,[status(thm)],[162])).
% 1.38/1.60 tff(164,plain,
% 1.38/1.60 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (ssPv3(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))))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.38/1.60 inference(transitivity,[status(thm)],[163, 161])).
% 1.38/1.60 tff(165,plain,
% 1.38/1.60 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (ssPv3(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))))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(elem!0))))),
% 1.38/1.60 inference(quant_inst,[status(thm)],[])).
% 1.38/1.60 tff(166,plain,
% 1.38/1.60 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[165, 164])).
% 1.38/1.60 tff(167,plain,
% 1.38/1.60 ((~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[166, 160, 16, 150])).
% 1.38/1.60 tff(168,plain,
% 1.38/1.60 (~ssPv4(skf1(elem!0))),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[167, 148, 129, 3])).
% 1.38/1.60 tff(169,plain,
% 1.38/1.60 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V))) <=> (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V))))),
% 1.38/1.60 inference(bind,[status(th)],[])).
% 1.38/1.60 tff(170,plain,
% 1.38/1.60 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))),
% 1.38/1.60 inference(quant_intro,[status(thm)],[169])).
% 1.38/1.60 tff(171,plain,
% 1.38/1.60 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(172,plain,
% 1.38/1.60 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv1(V))) <=> ((~ssRr(U, V)) | (~ssPv1(V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> (((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))))), rewrite((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, X))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V)))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | (~ssPv1(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | (~ssPv1(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv1(V)))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv1(V))))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | ssPv1(W)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv1(V))) | ssPv1(W)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv1(V))) | ssPv1(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | ssPv1(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V))))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | ssPv1(W)) | ssPv4(W)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V))) | ssPv4(W)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V))) | ssPv4(W)) <=> (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | ssPv1(W)) | ssPv4(W)) <=> (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))))),
% 1.38/1.60 inference(bind,[status(th)],[])).
% 1.38/1.60 tff(173,plain,
% 1.38/1.60 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | ssPv1(W)) | ssPv4(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))),
% 1.38/1.60 inference(quant_intro,[status(thm)],[172])).
% 1.38/1.60 tff(174,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | ssPv1(W)) | ssPv4(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause15')).
% 1.38/1.60 tff(175,plain,
% 1.38/1.60 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[174, 173])).
% 1.38/1.60 tff(176,plain,
% 1.38/1.60 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[175, 171])).
% 1.38/1.60 tff(177,plain,(
% 1.38/1.60 ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))),
% 1.38/1.60 inference(skolemize,[status(sab)],[176])).
% 1.38/1.60 tff(178,plain,
% 1.38/1.60 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[177, 170])).
% 1.38/1.60 tff(179,plain,
% 1.38/1.60 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(180,plain,
% 1.38/1.61 ((ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))) <=> (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(181,plain,
% 1.38/1.61 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.38/1.61 inference(monotonicity,[status(thm)],[180])).
% 1.38/1.61 tff(182,plain,
% 1.38/1.61 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.38/1.61 inference(transitivity,[status(thm)],[181, 179])).
% 1.38/1.61 tff(183,plain,
% 1.38/1.61 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(184,plain,
% 1.38/1.61 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[183, 182])).
% 1.38/1.61 tff(185,plain,
% 1.38/1.61 (ssPv1(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[184, 178, 16, 150])).
% 1.38/1.61 tff(186,plain,
% 1.38/1.61 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[185, 168, 6, 111])).
% 1.38/1.61 tff(187,assumption,(~ssPv1(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.38/1.61 tff(188,assumption,(~ssPv4(skf1(elem!0))), introduced(assumption)).
% 1.38/1.61 tff(189,plain,
% 1.38/1.61 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | 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)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | 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)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(190,plain,
% 1.38/1.61 ((ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(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)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(191,plain,
% 1.38/1.61 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(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(Y) | ssPv4(V) | 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)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.38/1.61 inference(monotonicity,[status(thm)],[190])).
% 1.38/1.61 tff(192,plain,
% 1.38/1.61 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(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(Y) | ssPv4(V) | 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)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.38/1.61 inference(transitivity,[status(thm)],[191, 189])).
% 1.38/1.61 tff(193,plain,
% 1.38/1.61 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(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))))))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(194,plain,
% 1.38/1.61 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | 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)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[193, 192])).
% 1.38/1.61 tff(195,plain,
% 1.38/1.61 (ssPv3(skf1(elem!0)) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[194, 65, 16, 150])).
% 1.38/1.61 tff(196,plain,
% 1.38/1.61 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[195, 7, 3, 6])).
% 1.38/1.61 tff(197,plain,
% 1.38/1.61 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W)) <=> (ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W)))),
% 1.38/1.61 inference(bind,[status(th)],[])).
% 1.38/1.61 tff(198,plain,
% 1.38/1.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(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] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))),
% 1.38/1.61 inference(quant_intro,[status(thm)],[197])).
% 1.38/1.61 tff(199,plain,
% 1.38/1.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(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] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(200,plain,
% 1.38/1.61 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv4(V))) <=> ((~ssPv4(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> (((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv1(Y)) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Y)))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Y)) <=> (ssPv1(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))) | ssPv1(Y)) <=> (ssPv1(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))) | ssPv1(Y)) | ssPv3(W)) <=> ((ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)))), rewrite(((ssPv1(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)) <=> (ssPv1(Y) | (~ssPv4(V)) | ssPv3(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))) | ssPv1(Y)) | ssPv3(W)) <=> (ssPv1(Y) | (~ssPv4(V)) | ssPv3(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))) | ssPv1(Y)) | ssPv3(W)) | ssPv4(W)) <=> ((ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)))), rewrite(((ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)) <=> (ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv1(Y)) | ssPv3(W)) | ssPv4(W)) <=> (ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))))),
% 1.38/1.61 inference(bind,[status(th)],[])).
% 1.38/1.61 tff(201,plain,
% 1.38/1.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv1(Y)) | ssPv3(W)) | ssPv4(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))),
% 1.38/1.61 inference(quant_intro,[status(thm)],[200])).
% 1.38/1.61 tff(202,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv1(Y)) | ssPv3(W)) | ssPv4(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause28')).
% 1.38/1.61 tff(203,plain,
% 1.38/1.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[202, 201])).
% 1.38/1.61 tff(204,plain,
% 1.38/1.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[203, 199])).
% 1.38/1.61 tff(205,plain,(
% 1.38/1.61 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))),
% 1.38/1.61 inference(skolemize,[status(sab)],[204])).
% 1.38/1.61 tff(206,plain,
% 1.38/1.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[205, 198])).
% 1.38/1.61 tff(207,plain,
% 1.38/1.61 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(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) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(208,plain,
% 1.38/1.61 ((ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(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))))) | (~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)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(209,plain,
% 1.38/1.61 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(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))))) | ssPv3(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] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.38/1.61 inference(monotonicity,[status(thm)],[208])).
% 1.38/1.61 tff(210,plain,
% 1.38/1.61 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(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))))) | ssPv3(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] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.38/1.61 inference(transitivity,[status(thm)],[209, 207])).
% 1.38/1.61 tff(211,plain,
% 1.38/1.61 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(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))))) | ssPv3(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)))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(212,plain,
% 1.38/1.61 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[211, 210])).
% 1.38/1.61 tff(213,plain,
% 1.38/1.61 (ssPv3(skf1(elem!0)) | ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[212, 206, 16, 150])).
% 1.38/1.61 tff(214,plain,
% 1.38/1.61 ($false),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[213, 196, 7, 188, 187])).
% 1.38/1.61 tff(215,plain,(ssPv3(skf1(elem!0)) | ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.38/1.61 tff(216,plain,
% 1.38/1.61 (ssPv3(skf1(elem!0))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[215, 168, 186, 3, 6])).
% 1.38/1.61 tff(217,plain,
% 1.38/1.61 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))) <=> (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))))),
% 1.38/1.61 inference(bind,[status(th)],[])).
% 1.38/1.61 tff(218,plain,
% 1.38/1.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))),
% 1.38/1.61 inference(quant_intro,[status(thm)],[217])).
% 1.38/1.61 tff(219,plain,
% 1.38/1.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(220,plain,
% 1.38/1.61 (^[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))) | (~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)) | ssPv1(Y)) <=> ((ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))) | ssPv1(Y)))), rewrite(((ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))) | ssPv1(Y)) <=> (ssPv1(Y) | 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)) | ssPv1(Y)) <=> (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))))),
% 1.38/1.61 inference(bind,[status(th)],[])).
% 1.38/1.61 tff(221,plain,
% 1.38/1.61 (![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)) | ssPv1(Y)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))),
% 1.38/1.61 inference(quant_intro,[status(thm)],[220])).
% 1.38/1.61 tff(222,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)) | ssPv1(Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause32')).
% 1.38/1.61 tff(223,plain,
% 1.38/1.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[222, 221])).
% 1.38/1.61 tff(224,plain,
% 1.38/1.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[223, 219])).
% 1.38/1.61 tff(225,plain,(
% 1.38/1.61 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))),
% 1.38/1.61 inference(skolemize,[status(sab)],[224])).
% 1.38/1.61 tff(226,plain,
% 1.38/1.61 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[225, 218])).
% 1.38/1.61 tff(227,plain,
% 1.38/1.61 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(228,plain,
% 1.38/1.61 ((ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv2(skf1(elem!0)))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(229,plain,
% 1.38/1.61 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv2(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.38/1.61 inference(monotonicity,[status(thm)],[228])).
% 1.38/1.61 tff(230,plain,
% 1.38/1.61 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv2(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.38/1.61 inference(transitivity,[status(thm)],[229, 227])).
% 1.38/1.61 tff(231,plain,
% 1.38/1.61 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv2(skf1(elem!0))))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(232,plain,
% 1.38/1.61 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[231, 230])).
% 1.38/1.61 tff(233,plain,
% 1.38/1.61 ((~ssPv3(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[232, 226, 16, 150])).
% 1.38/1.61 tff(234,plain,
% 1.38/1.61 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[233, 216, 148, 186])).
% 1.38/1.61 tff(235,plain,
% 1.38/1.61 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X)) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X)))),
% 1.38/1.61 inference(bind,[status(th)],[])).
% 1.38/1.61 tff(236,plain,
% 1.38/1.61 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))),
% 1.38/1.61 inference(quant_intro,[status(thm)],[235])).
% 1.38/1.61 tff(237,plain,
% 1.38/1.61 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(238,plain,
% 1.38/1.61 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv4(V))) <=> ((~ssPv4(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> (((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(W))))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(W))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv4(X)) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv4(X)))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv4(X)) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv4(X))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv4(X)) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv4(X)))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv4(X)) | ssPv1(W)) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv4(X)) | ssPv1(W)))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv4(X)) | ssPv1(W)) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv4(X)) | ssPv1(W)) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))))),
% 1.38/1.62 inference(bind,[status(th)],[])).
% 1.38/1.62 tff(239,plain,
% 1.38/1.62 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv4(X)) | ssPv1(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))),
% 1.38/1.62 inference(quant_intro,[status(thm)],[238])).
% 1.38/1.62 tff(240,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv4(X)) | ssPv1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause13')).
% 1.38/1.62 tff(241,plain,
% 1.38/1.62 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[240, 239])).
% 1.38/1.62 tff(242,plain,
% 1.38/1.62 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[241, 237])).
% 1.38/1.62 tff(243,plain,(
% 1.38/1.62 ![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))),
% 1.38/1.62 inference(skolemize,[status(sab)],[242])).
% 1.38/1.62 tff(244,plain,
% 1.38/1.62 (![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[243, 236])).
% 1.38/1.62 tff(245,plain,
% 1.38/1.62 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | (ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(246,plain,
% 1.38/1.62 (((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0)))) <=> (ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(247,plain,
% 1.38/1.62 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | (ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.38/1.62 inference(monotonicity,[status(thm)],[246])).
% 1.38/1.62 tff(248,plain,
% 1.38/1.62 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.38/1.62 inference(transitivity,[status(thm)],[247, 245])).
% 1.38/1.62 tff(249,plain,
% 1.38/1.62 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(250,plain,
% 1.38/1.62 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[249, 248])).
% 1.38/1.62 tff(251,plain,
% 1.38/1.62 (ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[250, 244, 16, 150])).
% 1.38/1.62 tff(252,plain,
% 1.38/1.62 ($false),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[251, 234, 216, 5, 6])).
% 1.38/1.62 tff(253,plain,(ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.38/1.62 tff(254,plain,
% 1.38/1.62 (ssPv3(skf1(skf1(elem!0)))),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[253, 6, 5, 3])).
% 1.38/1.62 tff(255,plain,
% 1.38/1.62 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W))) <=> (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W))))),
% 1.38/1.62 inference(bind,[status(th)],[])).
% 1.38/1.62 tff(256,plain,
% 1.38/1.62 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))),
% 1.38/1.62 inference(quant_intro,[status(thm)],[255])).
% 1.38/1.62 tff(257,plain,
% 1.38/1.62 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(258,plain,
% 1.38/1.62 (^[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(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))) | (~ssPv2(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))) | (~ssPv2(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | (~ssPv2(W)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv2(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | (~ssPv2(W))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv2(W))) | ssPv3(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | (~ssPv2(W))) | ssPv3(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | (~ssPv2(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | (~ssPv2(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv2(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | (~ssPv2(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv2(W))) | ssPv3(V)) | ssPv1(W)) <=> ((ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | (~ssPv2(W))) | ssPv1(W)))), rewrite(((ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | (~ssPv2(W))) | ssPv1(W)) <=> (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv2(W))) | ssPv3(V)) | ssPv1(W)) <=> (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))))),
% 1.38/1.62 inference(bind,[status(th)],[])).
% 1.38/1.62 tff(259,plain,
% 1.38/1.62 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv2(W))) | ssPv3(V)) | ssPv1(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))),
% 1.38/1.62 inference(quant_intro,[status(thm)],[258])).
% 1.38/1.62 tff(260,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv2(W))) | ssPv3(V)) | ssPv1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause14')).
% 1.38/1.62 tff(261,plain,
% 1.38/1.62 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[260, 259])).
% 1.38/1.62 tff(262,plain,
% 1.38/1.62 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[261, 257])).
% 1.38/1.62 tff(263,plain,(
% 1.38/1.62 ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))),
% 1.38/1.62 inference(skolemize,[status(sab)],[262])).
% 1.38/1.62 tff(264,plain,
% 1.38/1.62 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[263, 256])).
% 1.38/1.62 tff(265,plain,
% 1.38/1.62 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))) | (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(266,plain,
% 1.38/1.62 ((ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0)))) <=> (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(267,plain,
% 1.38/1.62 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))) | (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.38/1.62 inference(monotonicity,[status(thm)],[266])).
% 1.38/1.62 tff(268,plain,
% 1.38/1.62 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.38/1.62 inference(transitivity,[status(thm)],[267, 265])).
% 1.38/1.62 tff(269,plain,
% 1.38/1.62 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(270,plain,
% 1.38/1.62 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[269, 268])).
% 1.38/1.62 tff(271,plain,
% 1.38/1.62 (ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[270, 264, 16, 150])).
% 1.38/1.62 tff(272,plain,
% 1.38/1.62 (~ssPv2(skf1(elem!0))),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[271, 254, 6, 3])).
% 1.38/1.62 tff(273,plain,
% 1.38/1.62 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.38/1.62 inference(bind,[status(th)],[])).
% 1.38/1.62 tff(274,plain,
% 1.38/1.62 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(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) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.38/1.62 inference(quant_intro,[status(thm)],[273])).
% 1.38/1.62 tff(275,plain,
% 1.38/1.62 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(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) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(276,plain,
% 1.38/1.62 (^[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)) | ssPv4(Z)) <=> ((ssPv2(Y) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Z)))), rewrite(((ssPv2(Y) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Z)) <=> (ssPv2(Y) | ssPv4(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)) | ssPv4(Z)) <=> (ssPv2(Y) | ssPv4(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)) | ssPv4(Z)) | ssPv2(W)) <=> ((ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)))), rewrite(((ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)) <=> (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(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)) | ssPv4(Z)) | ssPv2(W)) <=> (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.38/1.62 inference(bind,[status(th)],[])).
% 1.38/1.62 tff(277,plain,
% 1.38/1.62 (![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)) | ssPv4(Z)) | ssPv2(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.38/1.62 inference(quant_intro,[status(thm)],[276])).
% 1.38/1.62 tff(278,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)) | ssPv4(Z)) | ssPv2(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause37')).
% 1.38/1.62 tff(279,plain,
% 1.38/1.62 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[278, 277])).
% 1.38/1.62 tff(280,plain,
% 1.38/1.62 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[279, 275])).
% 1.38/1.62 tff(281,plain,(
% 1.38/1.62 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.38/1.62 inference(skolemize,[status(sab)],[280])).
% 1.38/1.62 tff(282,plain,
% 1.38/1.62 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[281, 274])).
% 1.38/1.62 tff(283,plain,
% 1.38/1.62 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(284,plain,
% 1.38/1.62 ((ssPv2(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(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(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(285,plain,
% 1.38/1.62 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(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(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) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.38/1.62 inference(monotonicity,[status(thm)],[284])).
% 1.38/1.62 tff(286,plain,
% 1.38/1.62 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(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(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) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.38/1.62 inference(transitivity,[status(thm)],[285, 283])).
% 1.38/1.62 tff(287,plain,
% 1.38/1.62 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(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(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))))))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(288,plain,
% 1.38/1.62 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[287, 286])).
% 1.38/1.62 tff(289,plain,
% 1.38/1.62 (ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[288, 282, 16, 150])).
% 1.38/1.62 tff(290,plain,
% 1.38/1.62 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[289, 272, 3, 5])).
% 1.38/1.62 tff(291,plain,
% 1.38/1.62 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X))) <=> (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X))))),
% 1.38/1.62 inference(bind,[status(th)],[])).
% 1.38/1.62 tff(292,plain,
% 1.38/1.62 (![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))),
% 1.38/1.62 inference(quant_intro,[status(thm)],[291])).
% 1.38/1.62 tff(293,plain,
% 1.38/1.62 (![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(294,plain,
% 1.38/1.62 (^[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))) | ssPv1(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))) | ssPv1(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))) | ssPv1(V)) <=> (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv1(V)) <=> (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv1(V)) | ssPv1(W)) <=> ((ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))) | ssPv1(W)))), rewrite(((ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))) | ssPv1(W)) <=> (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv1(V)) | ssPv1(W)) <=> (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv1(V)) | ssPv1(W)) | ssPv2(W)) <=> ((ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X))) | ssPv2(W)))), rewrite(((ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X))) | ssPv2(W)) <=> (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv1(V)) | ssPv1(W)) | ssPv2(W)) <=> (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))))),
% 1.46/1.62 inference(bind,[status(th)],[])).
% 1.46/1.62 tff(295,plain,
% 1.46/1.62 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv1(V)) | ssPv1(W)) | ssPv2(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))),
% 1.46/1.62 inference(quant_intro,[status(thm)],[294])).
% 1.46/1.62 tff(296,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv1(V)) | ssPv1(W)) | ssPv2(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause11')).
% 1.46/1.62 tff(297,plain,
% 1.46/1.62 (![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))),
% 1.46/1.62 inference(modus_ponens,[status(thm)],[296, 295])).
% 1.46/1.62 tff(298,plain,
% 1.46/1.62 (![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))),
% 1.46/1.62 inference(modus_ponens,[status(thm)],[297, 293])).
% 1.46/1.62 tff(299,plain,(
% 1.46/1.62 ![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))),
% 1.46/1.62 inference(skolemize,[status(sab)],[298])).
% 1.46/1.62 tff(300,plain,
% 1.46/1.62 (![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))),
% 1.46/1.62 inference(modus_ponens,[status(thm)],[299, 292])).
% 1.46/1.62 tff(301,plain,
% 1.46/1.62 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.46/1.62 inference(rewrite,[status(thm)],[])).
% 1.46/1.62 tff(302,plain,
% 1.46/1.62 ((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))))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0))))) <=> (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.46/1.62 inference(rewrite,[status(thm)],[])).
% 1.46/1.62 tff(303,plain,
% 1.46/1.62 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | (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))))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.62 inference(monotonicity,[status(thm)],[302])).
% 1.46/1.62 tff(304,plain,
% 1.46/1.62 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | (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))))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.46/1.62 inference(transitivity,[status(thm)],[303, 301])).
% 1.46/1.62 tff(305,plain,
% 1.46/1.62 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | (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))))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.46/1.62 inference(quant_inst,[status(thm)],[])).
% 1.46/1.62 tff(306,plain,
% 1.46/1.62 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.46/1.62 inference(modus_ponens,[status(thm)],[305, 304])).
% 1.46/1.62 tff(307,plain,
% 1.46/1.62 (ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.46/1.62 inference(unit_resolution,[status(thm)],[306, 300, 16, 150])).
% 1.46/1.62 tff(308,plain,
% 1.46/1.62 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.46/1.62 inference(unit_resolution,[status(thm)],[307, 272, 6, 254])).
% 1.46/1.62 tff(309,plain,
% 1.46/1.62 (^[W: $i, V: $i, U: $i] : refl((ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V))) <=> (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V))))),
% 1.46/1.62 inference(bind,[status(th)],[])).
% 1.46/1.62 tff(310,plain,
% 1.46/1.62 (![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V))) <=> ![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))),
% 1.46/1.62 inference(quant_intro,[status(thm)],[309])).
% 1.46/1.62 tff(311,plain,
% 1.46/1.62 (![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V))) <=> ![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))),
% 1.46/1.62 inference(rewrite,[status(thm)],[])).
% 1.46/1.62 tff(312,plain,
% 1.46/1.62 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv1(V))) <=> ((~ssRr(U, V)) | (~ssPv1(V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> (((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))))), rewrite((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | ssPv1(W)) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | ssPv1(W)))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | ssPv1(W)) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | ssPv1(W)) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V))))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | ssPv1(W)) | ssPv2(W)) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V))) | ssPv2(W)))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V))) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | ssPv1(W)) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V))))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | ssPv1(W)) | ssPv2(W)) | ssPv3(W)) <=> ((ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V))) | ssPv3(W)))), rewrite(((ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V))) | ssPv3(W)) <=> (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | ssPv1(W)) | ssPv2(W)) | ssPv3(W)) <=> (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))))),
% 1.46/1.63 inference(bind,[status(th)],[])).
% 1.46/1.63 tff(313,plain,
% 1.46/1.63 (![W: $i, V: $i, U: $i] : ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | ssPv1(W)) | ssPv2(W)) | ssPv3(W)) <=> ![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))),
% 1.46/1.63 inference(quant_intro,[status(thm)],[312])).
% 1.46/1.63 tff(314,axiom,(![W: $i, V: $i, U: $i] : ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | ssPv1(W)) | ssPv2(W)) | ssPv3(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause3')).
% 1.46/1.63 tff(315,plain,
% 1.46/1.63 (![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))),
% 1.46/1.63 inference(modus_ponens,[status(thm)],[314, 313])).
% 1.46/1.63 tff(316,plain,
% 1.46/1.63 (![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))),
% 1.46/1.63 inference(modus_ponens,[status(thm)],[315, 311])).
% 1.46/1.63 tff(317,plain,(
% 1.46/1.63 ![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))),
% 1.46/1.63 inference(skolemize,[status(sab)],[316])).
% 1.46/1.63 tff(318,plain,
% 1.46/1.63 (![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))),
% 1.46/1.63 inference(modus_ponens,[status(thm)],[317, 310])).
% 1.46/1.63 tff(319,plain,
% 1.46/1.63 (((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))) | (ssPv3(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))) | ssPv3(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.46/1.63 inference(rewrite,[status(thm)],[])).
% 1.46/1.63 tff(320,plain,
% 1.46/1.63 ((ssPv3(skf1(elem!0)) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0)))))) <=> (ssPv3(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.46/1.63 inference(rewrite,[status(thm)],[])).
% 1.46/1.63 tff(321,plain,
% 1.46/1.63 (((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))) | (ssPv3(skf1(elem!0)) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))) | (ssPv3(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.63 inference(monotonicity,[status(thm)],[320])).
% 1.46/1.63 tff(322,plain,
% 1.46/1.63 (((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))) | (ssPv3(skf1(elem!0)) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))) | ssPv3(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.46/1.63 inference(transitivity,[status(thm)],[321, 319])).
% 1.46/1.63 tff(323,plain,
% 1.46/1.63 ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))) | (ssPv3(skf1(elem!0)) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.63 inference(quant_inst,[status(thm)],[])).
% 1.46/1.63 tff(324,plain,
% 1.46/1.63 ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))) | ssPv3(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.46/1.63 inference(modus_ponens,[status(thm)],[323, 322])).
% 1.46/1.63 tff(325,plain,
% 1.46/1.63 (ssPv3(skf1(elem!0)) | ssPv1(skf1(elem!0)) | ssPv2(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.46/1.63 inference(unit_resolution,[status(thm)],[324, 318, 16, 150])).
% 1.46/1.63 tff(326,plain,
% 1.46/1.63 (ssPv3(skf1(elem!0))),
% 1.46/1.63 inference(unit_resolution,[status(thm)],[325, 308, 6, 272])).
% 1.46/1.63 tff(327,plain,
% 1.46/1.63 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.46/1.63 inference(unit_resolution,[status(thm)],[251, 326, 5, 6])).
% 1.46/1.63 tff(328,plain,
% 1.46/1.63 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.46/1.63 inference(bind,[status(th)],[])).
% 1.46/1.63 tff(329,plain,
% 1.46/1.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(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] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.46/1.63 inference(quant_intro,[status(thm)],[328])).
% 1.46/1.63 tff(330,plain,
% 1.46/1.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(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] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.46/1.63 inference(rewrite,[status(thm)],[])).
% 1.46/1.63 tff(331,plain,
% 1.46/1.63 (^[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)) | (~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))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) <=> (((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Z))) <=> ((~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) <=> ((~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv3(Y)) <=> (((~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(Y)))), rewrite((((~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv3(Y)) | ssPv2(W)) <=> ((ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)))), rewrite(((ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)) <=> (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv3(Y)) | ssPv2(W)) <=> (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.46/1.63 inference(bind,[status(th)],[])).
% 1.46/1.63 tff(332,plain,
% 1.46/1.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv3(Y)) | ssPv2(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.46/1.63 inference(quant_intro,[status(thm)],[331])).
% 1.46/1.63 tff(333,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv3(Y)) | ssPv2(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause42')).
% 1.46/1.63 tff(334,plain,
% 1.46/1.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.46/1.63 inference(modus_ponens,[status(thm)],[333, 332])).
% 1.46/1.63 tff(335,plain,
% 1.46/1.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.46/1.63 inference(modus_ponens,[status(thm)],[334, 330])).
% 1.46/1.63 tff(336,plain,(
% 1.46/1.63 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.46/1.63 inference(skolemize,[status(sab)],[335])).
% 1.46/1.63 tff(337,plain,
% 1.46/1.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.46/1.63 inference(modus_ponens,[status(thm)],[336, 329])).
% 1.46/1.63 tff(338,plain,
% 1.46/1.63 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.46/1.63 inference(rewrite,[status(thm)],[])).
% 1.46/1.63 tff(339,plain,
% 1.46/1.63 ((ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(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(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.46/1.63 inference(rewrite,[status(thm)],[])).
% 1.46/1.63 tff(340,plain,
% 1.46/1.63 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(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] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.63 inference(monotonicity,[status(thm)],[339])).
% 1.46/1.63 tff(341,plain,
% 1.46/1.63 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(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] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.46/1.63 inference(transitivity,[status(thm)],[340, 338])).
% 1.46/1.63 tff(342,plain,
% 1.46/1.63 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.46/1.63 inference(quant_inst,[status(thm)],[])).
% 1.46/1.63 tff(343,plain,
% 1.46/1.63 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.46/1.63 inference(modus_ponens,[status(thm)],[342, 341])).
% 1.46/1.63 tff(344,plain,
% 1.46/1.63 ((~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.46/1.63 inference(unit_resolution,[status(thm)],[343, 337, 16, 150])).
% 1.46/1.63 tff(345,plain,
% 1.46/1.63 (~ssPv1(skf1(skf1(elem!0)))),
% 1.46/1.63 inference(unit_resolution,[status(thm)],[344, 290, 3, 272])).
% 1.46/1.63 tff(346,plain,
% 1.46/1.63 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl((ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) <=> (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))),
% 1.46/1.63 inference(bind,[status(th)],[])).
% 1.46/1.63 tff(347,plain,
% 1.46/1.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, 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] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.46/1.63 inference(quant_intro,[status(thm)],[346])).
% 1.46/1.63 tff(348,plain,
% 1.46/1.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, 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] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.46/1.63 inference(rewrite,[status(thm)],[])).
% 1.46/1.63 tff(349,plain,
% 1.46/1.63 (^[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))) | (~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(Z, X1))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(Z, X1))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(Z, X1))) <=> ((~ssRr(Z, X1)) | (~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(Z, X1))) <=> ((~ssRr(Z, X1)) | (~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(Z, X1))) | (~ssRr(W, Z))) <=> (((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(Z, X1)) | (~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(Z, X1))) | (~ssRr(W, Z))) <=> ((~ssRr(Z, X1)) | (~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(Z, X1))) | (~ssRr(W, Z))) | (~ssPv1(W))) <=> (((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))))), rewrite((((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, 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))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv1(W))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, 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))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv4(Y)) <=> (((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv4(Y)))), rewrite((((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssRr(Z, X1)) | (~ssRr(X, 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))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssRr(Z, X1)) | (~ssRr(X, 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))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv4(Y)) | ssPv1(X1)) <=> ((ssPv4(Y) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv1(X1)))), rewrite(((ssPv4(Y) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv1(X1)) <=> (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, 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))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv4(Y)) | ssPv1(X1)) <=> (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))))),
% 1.46/1.63 inference(bind,[status(th)],[])).
% 1.46/1.63 tff(350,plain,
% 1.46/1.63 (![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))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv4(Y)) | ssPv1(X1)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.46/1.63 inference(quant_intro,[status(thm)],[349])).
% 1.46/1.63 tff(351,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))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv4(Y)) | ssPv1(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause50')).
% 1.46/1.63 tff(352,plain,
% 1.46/1.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.46/1.63 inference(modus_ponens,[status(thm)],[351, 350])).
% 1.46/1.63 tff(353,plain,
% 1.46/1.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.46/1.63 inference(modus_ponens,[status(thm)],[352, 348])).
% 1.46/1.63 tff(354,plain,(
% 1.46/1.63 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.46/1.63 inference(skolemize,[status(sab)],[353])).
% 1.46/1.63 tff(355,plain,
% 1.46/1.63 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.46/1.63 inference(modus_ponens,[status(thm)],[354, 347])).
% 1.46/1.63 tff(356,plain,
% 1.46/1.63 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.46/1.63 inference(rewrite,[status(thm)],[])).
% 1.46/1.63 tff(357,plain,
% 1.46/1.63 ((ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~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))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.46/1.63 inference(rewrite,[status(thm)],[])).
% 1.46/1.63 tff(358,plain,
% 1.46/1.63 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~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, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0)))))),
% 1.46/1.63 inference(monotonicity,[status(thm)],[357])).
% 1.46/1.63 tff(359,plain,
% 1.46/1.63 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~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, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.46/1.63 inference(transitivity,[status(thm)],[358, 356])).
% 1.46/1.63 tff(360,plain,
% 1.46/1.63 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~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)))),
% 1.46/1.63 inference(quant_inst,[status(thm)],[])).
% 1.46/1.63 tff(361,plain,
% 1.46/1.63 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0)))),
% 1.46/1.63 inference(modus_ponens,[status(thm)],[360, 359])).
% 1.46/1.63 tff(362,plain,
% 1.46/1.63 (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(elem!0))),
% 1.46/1.63 inference(unit_resolution,[status(thm)],[361, 355, 18, 16])).
% 1.46/1.63 tff(363,plain,
% 1.46/1.63 (~ssPv1(elem!0)),
% 1.46/1.63 inference(unit_resolution,[status(thm)],[362, 345, 254, 5])).
% 1.46/1.63 tff(364,plain,
% 1.46/1.63 (~ssPv2(skf1(skf1(elem!0)))),
% 1.46/1.63 inference(unit_resolution,[status(thm)],[147, 363, 5, 272])).
% 1.46/1.63 tff(365,plain,
% 1.46/1.63 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(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)))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(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)))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.46/1.63 inference(rewrite,[status(thm)],[])).
% 1.46/1.63 tff(366,plain,
% 1.46/1.63 ((ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(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)))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.46/1.63 inference(rewrite,[status(thm)],[])).
% 1.46/1.63 tff(367,plain,
% 1.46/1.63 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(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)))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.63 inference(monotonicity,[status(thm)],[366])).
% 1.46/1.63 tff(368,plain,
% 1.46/1.63 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(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)))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.46/1.63 inference(transitivity,[status(thm)],[367, 365])).
% 1.46/1.63 tff(369,plain,
% 1.46/1.63 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(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)))),
% 1.46/1.64 inference(quant_inst,[status(thm)],[])).
% 1.46/1.64 tff(370,plain,
% 1.46/1.64 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.46/1.64 inference(modus_ponens,[status(thm)],[369, 368])).
% 1.46/1.64 tff(371,plain,
% 1.46/1.64 (ssPv1(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.46/1.64 inference(unit_resolution,[status(thm)],[370, 140, 16, 150])).
% 1.46/1.64 tff(372,plain,
% 1.46/1.64 ($false),
% 1.46/1.64 inference(unit_resolution,[status(thm)],[371, 364, 327, 6, 290])).
% 1.46/1.64 tff(373,plain,(ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.46/1.64 tff(374,plain,
% 1.46/1.64 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.46/1.64 inference(unit_resolution,[status(thm)],[373, 6, 5])).
% 1.46/1.64 tff(375,plain,
% 1.46/1.64 (~ssPv4(elem!0)),
% 1.46/1.64 inference(unit_resolution,[status(thm)],[35, 1, 5, 6])).
% 1.46/1.64 tff(376,plain,
% 1.46/1.64 (ssPv3(elem!0)),
% 1.46/1.64 inference(unit_resolution,[status(thm)],[92, 1, 5, 6])).
% 1.46/1.64 tff(377,plain,
% 1.46/1.64 (ssPv2(skf1(skf1(elem!0)))),
% 1.46/1.64 inference(unit_resolution,[status(thm)],[128, 375, 6, 376])).
% 1.46/1.64 tff(378,plain,
% 1.46/1.64 (~ssPv1(elem!0)),
% 1.46/1.64 inference(unit_resolution,[status(thm)],[90, 377, 6, 375])).
% 1.46/1.64 tff(379,plain,
% 1.46/1.64 (ssPv2(skf1(elem!0))),
% 1.46/1.64 inference(unit_resolution,[status(thm)],[147, 377, 5, 378])).
% 1.46/1.64 tff(380,plain,
% 1.46/1.64 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) <=> (ssPv2(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))))),
% 1.46/1.64 inference(bind,[status(th)],[])).
% 1.46/1.64 tff(381,plain,
% 1.46/1.64 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(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) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.46/1.64 inference(quant_intro,[status(thm)],[380])).
% 1.46/1.64 tff(382,plain,
% 1.46/1.64 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(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) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.46/1.64 inference(rewrite,[status(thm)],[])).
% 1.46/1.64 tff(383,plain,
% 1.46/1.64 (^[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(W))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(W))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(W))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv2(W))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv2(W))) | ssPv2(Y)) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) | ssPv2(Y)))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) | ssPv2(Y)) <=> (ssPv2(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))) | (~ssPv2(W))) | ssPv2(Y)) <=> (ssPv2(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))) | (~ssPv2(W))) | ssPv2(Y)) | ssPv4(Z)) <=> ((ssPv2(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) | ssPv4(Z)))), rewrite(((ssPv2(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) | ssPv4(Z)) <=> (ssPv2(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv2(W))) | ssPv2(Y)) | ssPv4(Z)) <=> (ssPv2(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))))),
% 1.46/1.64 inference(bind,[status(th)],[])).
% 1.46/1.64 tff(384,plain,
% 1.46/1.64 (![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(W))) | ssPv2(Y)) | ssPv4(Z)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.46/1.64 inference(quant_intro,[status(thm)],[383])).
% 1.46/1.64 tff(385,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(W))) | ssPv2(Y)) | ssPv4(Z))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause45')).
% 1.46/1.64 tff(386,plain,
% 1.46/1.64 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.46/1.64 inference(modus_ponens,[status(thm)],[385, 384])).
% 1.46/1.64 tff(387,plain,
% 1.46/1.64 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.46/1.64 inference(modus_ponens,[status(thm)],[386, 382])).
% 1.46/1.64 tff(388,plain,(
% 1.46/1.64 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.46/1.64 inference(skolemize,[status(sab)],[387])).
% 1.46/1.64 tff(389,plain,
% 1.46/1.64 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.46/1.64 inference(modus_ponens,[status(thm)],[388, 381])).
% 1.46/1.64 tff(390,plain,
% 1.46/1.64 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.64 inference(rewrite,[status(thm)],[])).
% 1.46/1.64 tff(391,plain,
% 1.46/1.64 ((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))))) | (~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)))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.64 inference(rewrite,[status(thm)],[])).
% 1.46/1.64 tff(392,plain,
% 1.46/1.64 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(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)))) | ssPv4(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) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.64 inference(monotonicity,[status(thm)],[391])).
% 1.46/1.64 tff(393,plain,
% 1.46/1.64 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(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)))) | ssPv4(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) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.64 inference(transitivity,[status(thm)],[392, 390])).
% 1.46/1.64 tff(394,plain,
% 1.46/1.64 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(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)))) | ssPv4(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))))),
% 1.46/1.64 inference(quant_inst,[status(thm)],[])).
% 1.46/1.64 tff(395,plain,
% 1.46/1.64 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.46/1.64 inference(modus_ponens,[status(thm)],[394, 393])).
% 1.46/1.64 tff(396,plain,
% 1.46/1.64 (ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.46/1.64 inference(unit_resolution,[status(thm)],[395, 389, 16, 150])).
% 1.46/1.64 tff(397,plain,
% 1.46/1.64 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.46/1.64 inference(unit_resolution,[status(thm)],[396, 379, 5, 374])).
% 1.46/1.64 tff(398,plain,
% 1.46/1.64 (ssPv1(skf1(skf1(elem!0)))),
% 1.46/1.64 inference(unit_resolution,[status(thm)],[110, 375, 5, 376])).
% 1.46/1.64 tff(399,plain,
% 1.46/1.64 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))) <=> (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))))),
% 1.46/1.64 inference(bind,[status(th)],[])).
% 1.46/1.64 tff(400,plain,
% 1.46/1.64 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(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] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))),
% 1.46/1.64 inference(quant_intro,[status(thm)],[399])).
% 1.46/1.64 tff(401,plain,
% 1.46/1.64 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(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] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))),
% 1.46/1.64 inference(rewrite,[status(thm)],[])).
% 1.46/1.64 tff(402,plain,
% 1.46/1.64 (^[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))) | (~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))) <=> ((~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) <=> ((~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) <=> (((~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))))), rewrite((((~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))) <=> ((~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) <=> ((~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) <=> (((~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv3(W))))), rewrite((((~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv3(W))) <=> ((~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) <=> ((~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv3(V)) <=> (((~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))) | ssPv3(V)))), rewrite((((~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))) | ssPv3(V)) <=> (ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv3(V)) | ssPv3(Y)) <=> ((ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))) | ssPv3(Y)))), rewrite(((ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))) | ssPv3(Y)) <=> (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv3(V)) | ssPv3(Y)) <=> (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))))),
% 1.46/1.64 inference(bind,[status(th)],[])).
% 1.46/1.64 tff(403,plain,
% 1.46/1.64 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv3(V)) | ssPv3(Y)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))),
% 1.46/1.64 inference(quant_intro,[status(thm)],[402])).
% 1.46/1.64 tff(404,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv3(V)) | ssPv3(Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause30')).
% 1.46/1.64 tff(405,plain,
% 1.46/1.64 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))),
% 1.46/1.64 inference(modus_ponens,[status(thm)],[404, 403])).
% 1.46/1.64 tff(406,plain,
% 1.46/1.64 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))),
% 1.46/1.64 inference(modus_ponens,[status(thm)],[405, 401])).
% 1.46/1.64 tff(407,plain,(
% 1.46/1.64 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))),
% 1.46/1.64 inference(skolemize,[status(sab)],[406])).
% 1.46/1.64 tff(408,plain,
% 1.46/1.64 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))),
% 1.46/1.64 inference(modus_ponens,[status(thm)],[407, 400])).
% 1.46/1.64 tff(409,plain,
% 1.46/1.64 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.46/1.64 inference(rewrite,[status(thm)],[])).
% 1.46/1.64 tff(410,plain,
% 1.46/1.64 ((ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(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))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.46/1.64 inference(rewrite,[status(thm)],[])).
% 1.46/1.64 tff(411,plain,
% 1.46/1.64 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0)))))),
% 1.46/1.64 inference(monotonicity,[status(thm)],[410])).
% 1.46/1.64 tff(412,plain,
% 1.46/1.64 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.46/1.64 inference(transitivity,[status(thm)],[411, 409])).
% 1.46/1.64 tff(413,plain,
% 1.46/1.64 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.46/1.64 inference(quant_inst,[status(thm)],[])).
% 1.46/1.64 tff(414,plain,
% 1.46/1.64 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0)))),
% 1.46/1.64 inference(modus_ponens,[status(thm)],[413, 412])).
% 1.46/1.64 tff(415,plain,
% 1.46/1.64 (ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv3(elem!0))),
% 1.46/1.64 inference(unit_resolution,[status(thm)],[414, 408, 18, 16])).
% 1.46/1.64 tff(416,plain,
% 1.46/1.64 (~ssPv4(skf1(elem!0))),
% 1.46/1.64 inference(unit_resolution,[status(thm)],[415, 376, 7, 1])).
% 1.46/1.64 tff(417,plain,
% 1.46/1.64 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.46/1.64 inference(unit_resolution,[status(thm)],[185, 416, 6, 398])).
% 1.46/1.64 tff(418,plain,
% 1.46/1.64 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))),
% 1.46/1.64 inference(quant_inst,[status(thm)],[])).
% 1.46/1.64 tff(419,plain,
% 1.46/1.64 (ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))),
% 1.46/1.64 inference(unit_resolution,[status(thm)],[418, 14])).
% 1.46/1.64 tff(420,plain,
% 1.46/1.64 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.64 inference(rewrite,[status(thm)],[])).
% 1.46/1.64 tff(421,plain,
% 1.46/1.64 (((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0))))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.64 inference(rewrite,[status(thm)],[])).
% 1.46/1.64 tff(422,plain,
% 1.46/1.64 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | ((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.46/1.64 inference(monotonicity,[status(thm)],[421])).
% 1.46/1.64 tff(423,plain,
% 1.46/1.64 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | ((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.64 inference(transitivity,[status(thm)],[422, 420])).
% 1.46/1.64 tff(424,plain,
% 1.46/1.64 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | ((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.46/1.64 inference(quant_inst,[status(thm)],[])).
% 1.46/1.64 tff(425,plain,
% 1.46/1.64 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.64 inference(modus_ponens,[status(thm)],[424, 423])).
% 1.46/1.64 tff(426,plain,
% 1.46/1.64 (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.64 inference(unit_resolution,[status(thm)],[425, 83, 150, 419])).
% 1.46/1.64 tff(427,plain,
% 1.46/1.64 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.46/1.64 inference(unit_resolution,[status(thm)],[426, 417, 5, 398])).
% 1.46/1.64 tff(428,plain,
% 1.46/1.64 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) <=> (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))),
% 1.46/1.64 inference(bind,[status(th)],[])).
% 1.46/1.64 tff(429,plain,
% 1.46/1.64 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.46/1.64 inference(quant_intro,[status(thm)],[428])).
% 1.46/1.64 tff(430,plain,
% 1.46/1.64 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.46/1.64 inference(rewrite,[status(thm)],[])).
% 1.46/1.64 tff(431,plain,
% 1.46/1.64 (^[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(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))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), ((((((~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))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv2(V)) <=> (((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv2(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv2(V)) <=> (ssPv2(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv2(V)) <=> (ssPv2(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv2(V)) | ssPv1(Y)) <=> ((ssPv2(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv1(Y)))), rewrite(((ssPv2(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv1(Y)) <=> (ssPv1(Y) | ssPv2(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv2(V)) | ssPv1(Y)) <=> (ssPv1(Y) | ssPv2(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv2(V)) | ssPv1(Y)) | ssPv3(W)) <=> ((ssPv1(Y) | ssPv2(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv3(W)))), rewrite(((ssPv1(Y) | ssPv2(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv3(W)) <=> (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv2(V)) | ssPv1(Y)) | ssPv3(W)) <=> (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))))),
% 1.46/1.64 inference(bind,[status(th)],[])).
% 1.46/1.64 tff(432,plain,
% 1.46/1.64 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv2(V)) | ssPv1(Y)) | ssPv3(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.46/1.64 inference(quant_intro,[status(thm)],[431])).
% 1.46/1.64 tff(433,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))) | ssPv2(V)) | ssPv1(Y)) | ssPv3(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause26')).
% 1.46/1.64 tff(434,plain,
% 1.46/1.64 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.46/1.64 inference(modus_ponens,[status(thm)],[433, 432])).
% 1.46/1.64 tff(435,plain,
% 1.46/1.64 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.46/1.64 inference(modus_ponens,[status(thm)],[434, 430])).
% 1.46/1.64 tff(436,plain,(
% 1.46/1.64 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.46/1.64 inference(skolemize,[status(sab)],[435])).
% 1.46/1.64 tff(437,plain,
% 1.46/1.64 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.46/1.64 inference(modus_ponens,[status(thm)],[436, 429])).
% 1.46/1.64 tff(438,plain,
% 1.46/1.64 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.64 inference(rewrite,[status(thm)],[])).
% 1.46/1.64 tff(439,plain,
% 1.46/1.64 ((ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.65 inference(rewrite,[status(thm)],[])).
% 1.46/1.65 tff(440,plain,
% 1.46/1.65 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.65 inference(monotonicity,[status(thm)],[439])).
% 1.46/1.65 tff(441,plain,
% 1.46/1.65 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.65 inference(transitivity,[status(thm)],[440, 438])).
% 1.46/1.65 tff(442,plain,
% 1.46/1.65 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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)))))),
% 1.46/1.65 inference(quant_inst,[status(thm)],[])).
% 1.46/1.65 tff(443,plain,
% 1.46/1.65 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.46/1.65 inference(modus_ponens,[status(thm)],[442, 441])).
% 1.46/1.65 tff(444,plain,
% 1.46/1.65 (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.46/1.65 inference(unit_resolution,[status(thm)],[443, 437, 150, 419])).
% 1.46/1.65 tff(445,plain,
% 1.46/1.65 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.46/1.65 inference(unit_resolution,[status(thm)],[444, 427, 1, 398])).
% 1.46/1.65 tff(446,plain,
% 1.46/1.65 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.65 inference(quant_inst,[status(thm)],[])).
% 1.46/1.65 tff(447,plain,
% 1.46/1.65 (ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.65 inference(unit_resolution,[status(thm)],[446, 14])).
% 1.46/1.65 tff(448,plain,
% 1.46/1.65 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V))))),
% 1.46/1.65 inference(bind,[status(th)],[])).
% 1.46/1.65 tff(449,plain,
% 1.46/1.65 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))),
% 1.46/1.65 inference(quant_intro,[status(thm)],[448])).
% 1.46/1.65 tff(450,plain,
% 1.46/1.65 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))),
% 1.46/1.65 inference(rewrite,[status(thm)],[])).
% 1.46/1.65 tff(451,plain,
% 1.46/1.65 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv1(V))) <=> ((~ssRr(U, V)) | (~ssPv1(V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> (((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))))), rewrite((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, X))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V)))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | (~ssPv1(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | (~ssPv1(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv1(V)))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv1(V))))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv3(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv1(V))) | (~ssPv3(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv1(V))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(X)) | (~ssPv1(V)))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(X)) | (~ssPv1(V))))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv3(W))) | ssPv1(W)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(X)) | (~ssPv1(V))) | ssPv1(W)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(X)) | (~ssPv1(V))) | ssPv1(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv3(W))) | ssPv1(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))))),
% 1.46/1.65 inference(bind,[status(th)],[])).
% 1.46/1.65 tff(452,plain,
% 1.46/1.65 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(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) | (~ssPv1(X)) | (~ssPv1(V)))),
% 1.46/1.65 inference(quant_intro,[status(thm)],[451])).
% 1.46/1.65 tff(453,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv3(W))) | ssPv1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause18')).
% 1.46/1.65 tff(454,plain,
% 1.46/1.65 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))),
% 1.46/1.65 inference(modus_ponens,[status(thm)],[453, 452])).
% 1.46/1.65 tff(455,plain,
% 1.46/1.65 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))),
% 1.46/1.65 inference(modus_ponens,[status(thm)],[454, 450])).
% 1.46/1.65 tff(456,plain,(
% 1.46/1.65 ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))),
% 1.46/1.65 inference(skolemize,[status(sab)],[455])).
% 1.46/1.65 tff(457,plain,
% 1.46/1.65 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))),
% 1.46/1.65 inference(modus_ponens,[status(thm)],[456, 449])).
% 1.46/1.65 tff(458,plain,
% 1.46/1.65 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(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] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(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))))))))),
% 1.46/1.65 inference(rewrite,[status(thm)],[])).
% 1.46/1.65 tff(459,plain,
% 1.46/1.65 (((~ssRr(skf1(skf1(skf1(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)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(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))))))))),
% 1.46/1.65 inference(rewrite,[status(thm)],[])).
% 1.46/1.65 tff(460,plain,
% 1.46/1.65 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(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)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(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) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(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)))))))))),
% 1.46/1.65 inference(monotonicity,[status(thm)],[459])).
% 1.46/1.65 tff(461,plain,
% 1.46/1.65 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(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)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(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) | (~ssPv1(X)) | (~ssPv1(V)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(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))))))))),
% 1.46/1.65 inference(transitivity,[status(thm)],[460, 458])).
% 1.46/1.65 tff(462,plain,
% 1.46/1.65 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(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)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.46/1.65 inference(quant_inst,[status(thm)],[])).
% 1.46/1.65 tff(463,plain,
% 1.46/1.65 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(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)))))))),
% 1.46/1.65 inference(modus_ponens,[status(thm)],[462, 461])).
% 1.46/1.65 tff(464,plain,
% 1.46/1.65 (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.65 inference(unit_resolution,[status(thm)],[463, 457, 419, 447])).
% 1.46/1.65 tff(465,plain,
% 1.46/1.65 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.65 inference(unit_resolution,[status(thm)],[464, 445, 374, 417])).
% 1.46/1.65 tff(466,plain,
% 1.46/1.65 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))))),
% 1.46/1.65 inference(rewrite,[status(thm)],[])).
% 1.46/1.65 tff(467,plain,
% 1.46/1.65 ((ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.46/1.65 inference(rewrite,[status(thm)],[])).
% 1.46/1.65 tff(468,plain,
% 1.46/1.65 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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)))))))))),
% 1.46/1.65 inference(monotonicity,[status(thm)],[467])).
% 1.46/1.65 tff(469,plain,
% 1.46/1.65 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))))),
% 1.46/1.65 inference(transitivity,[status(thm)],[468, 466])).
% 1.46/1.65 tff(470,plain,
% 1.46/1.65 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.65 inference(quant_inst,[status(thm)],[])).
% 1.46/1.65 tff(471,plain,
% 1.46/1.65 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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)))))))),
% 1.46/1.65 inference(modus_ponens,[status(thm)],[470, 469])).
% 1.46/1.65 tff(472,plain,
% 1.46/1.65 ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.65 inference(unit_resolution,[status(thm)],[471, 226, 419, 447])).
% 1.46/1.65 tff(473,plain,
% 1.46/1.65 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.65 inference(unit_resolution,[status(thm)],[472, 465, 374, 397])).
% 1.46/1.65 tff(474,plain,
% 1.46/1.65 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.46/1.65 inference(unit_resolution,[status(thm)],[213, 417, 7, 416])).
% 1.46/1.65 tff(475,plain,
% 1.46/1.65 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(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)))) | ssPv4(skf1(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, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(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)))) | ssPv4(skf1(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)))))))),
% 1.46/1.65 inference(rewrite,[status(thm)],[])).
% 1.46/1.65 tff(476,plain,
% 1.46/1.65 ((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)))))) | (~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)))) | ssPv4(skf1(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)))))))),
% 1.46/1.65 inference(rewrite,[status(thm)],[])).
% 1.46/1.65 tff(477,plain,
% 1.46/1.65 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(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))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~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) | ssPv4(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)))) | ssPv4(skf1(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))))))))),
% 1.46/1.65 inference(monotonicity,[status(thm)],[476])).
% 1.46/1.65 tff(478,plain,
% 1.46/1.65 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(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))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~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) | ssPv4(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)))) | ssPv4(skf1(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)))))))),
% 1.46/1.65 inference(transitivity,[status(thm)],[477, 475])).
% 1.46/1.65 tff(479,plain,
% 1.46/1.65 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(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))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~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)))))),
% 1.46/1.65 inference(quant_inst,[status(thm)],[])).
% 1.46/1.65 tff(480,plain,
% 1.46/1.65 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(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)))) | ssPv4(skf1(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))))))),
% 1.46/1.65 inference(modus_ponens,[status(thm)],[479, 478])).
% 1.46/1.65 tff(481,plain,
% 1.46/1.65 ((~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.46/1.65 inference(unit_resolution,[status(thm)],[480, 389, 150, 419])).
% 1.46/1.65 tff(482,plain,
% 1.46/1.65 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.46/1.65 inference(unit_resolution,[status(thm)],[481, 474, 377, 427])).
% 1.46/1.65 tff(483,plain,
% 1.46/1.65 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv4(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))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ssPv4(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))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.65 inference(rewrite,[status(thm)],[])).
% 1.46/1.65 tff(484,plain,
% 1.46/1.65 ((ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0)))) <=> (ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), 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))))))),
% 1.46/1.65 inference(rewrite,[status(thm)],[])).
% 1.46/1.65 tff(485,plain,
% 1.46/1.65 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv4(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))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.65 inference(monotonicity,[status(thm)],[484])).
% 1.46/1.65 tff(486,plain,
% 1.46/1.65 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ssPv4(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))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.65 inference(transitivity,[status(thm)],[485, 483])).
% 1.46/1.65 tff(487,plain,
% 1.46/1.65 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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))))),
% 1.46/1.65 inference(quant_inst,[status(thm)],[])).
% 1.46/1.65 tff(488,plain,
% 1.46/1.65 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ssPv4(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))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.46/1.65 inference(modus_ponens,[status(thm)],[487, 486])).
% 1.46/1.65 tff(489,plain,
% 1.46/1.65 (ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.46/1.65 inference(unit_resolution,[status(thm)],[488, 47, 150, 419])).
% 1.46/1.65 tff(490,plain,
% 1.46/1.65 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.46/1.65 inference(unit_resolution,[status(thm)],[489, 427, 5, 1])).
% 1.46/1.65 tff(491,plain,
% 1.46/1.65 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | ((~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))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (~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))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.46/1.65 inference(rewrite,[status(thm)],[])).
% 1.46/1.65 tff(492,plain,
% 1.46/1.65 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), 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))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.46/1.66 inference(rewrite,[status(thm)],[])).
% 1.46/1.66 tff(493,plain,
% 1.46/1.66 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~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] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | ((~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))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.46/1.66 inference(monotonicity,[status(thm)],[492])).
% 1.46/1.66 tff(494,plain,
% 1.46/1.66 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~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] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (~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))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.46/1.66 inference(transitivity,[status(thm)],[493, 491])).
% 1.46/1.66 tff(495,plain,
% 1.46/1.66 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.66 inference(quant_inst,[status(thm)],[])).
% 1.46/1.66 tff(496,plain,
% 1.46/1.66 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (~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))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.66 inference(modus_ponens,[status(thm)],[495, 494])).
% 1.46/1.66 tff(497,plain,
% 1.46/1.66 ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.66 inference(unit_resolution,[status(thm)],[496, 408, 419, 447])).
% 1.46/1.66 tff(498,plain,
% 1.46/1.66 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.66 inference(unit_resolution,[status(thm)],[497, 490, 374, 482])).
% 1.46/1.66 tff(499,assumption,(~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), introduced(assumption)).
% 1.46/1.66 tff(500,assumption,(ssPv4(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.46/1.66 tff(501,assumption,(~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))), introduced(assumption)).
% 1.46/1.66 tff(502,assumption,(~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.46/1.66 tff(503,plain,
% 1.46/1.66 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.66 inference(quant_inst,[status(thm)],[])).
% 1.46/1.66 tff(504,plain,
% 1.46/1.66 (ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.66 inference(unit_resolution,[status(thm)],[503, 14])).
% 1.46/1.66 tff(505,plain,
% 1.46/1.66 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) <=> (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))),
% 1.46/1.66 inference(bind,[status(th)],[])).
% 1.46/1.66 tff(506,plain,
% 1.46/1.66 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(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(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.46/1.66 inference(quant_intro,[status(thm)],[505])).
% 1.46/1.66 tff(507,plain,
% 1.46/1.66 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(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(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.46/1.66 inference(rewrite,[status(thm)],[])).
% 1.46/1.66 tff(508,plain,
% 1.46/1.66 (^[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))) | (~ssPv4(W))) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(W))))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(W))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv4(W))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv4(W))) | ssPv3(Y)) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv3(Y)))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv4(W))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv4(W))) | ssPv3(Y)) | ssPv3(W)) <=> ((ssPv3(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv3(W)))), rewrite(((ssPv3(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv3(W)) <=> (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv4(W))) | ssPv3(Y)) | ssPv3(W)) <=> (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))))),
% 1.46/1.66 inference(bind,[status(th)],[])).
% 1.46/1.66 tff(509,plain,
% 1.46/1.66 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv4(W))) | ssPv3(Y)) | ssPv3(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.46/1.66 inference(quant_intro,[status(thm)],[508])).
% 1.46/1.66 tff(510,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))) | (~ssPv4(W))) | ssPv3(Y)) | ssPv3(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause31')).
% 1.46/1.66 tff(511,plain,
% 1.46/1.66 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.46/1.66 inference(modus_ponens,[status(thm)],[510, 509])).
% 1.46/1.66 tff(512,plain,
% 1.46/1.66 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.46/1.66 inference(modus_ponens,[status(thm)],[511, 507])).
% 1.46/1.66 tff(513,plain,(
% 1.46/1.66 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.46/1.66 inference(skolemize,[status(sab)],[512])).
% 1.46/1.66 tff(514,plain,
% 1.46/1.66 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.46/1.66 inference(modus_ponens,[status(thm)],[513, 506])).
% 1.46/1.66 tff(515,plain,
% 1.46/1.66 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(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(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv3(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(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.46/1.66 inference(rewrite,[status(thm)],[])).
% 1.46/1.66 tff(516,plain,
% 1.46/1.66 ((ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(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))))) | (~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(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.46/1.66 inference(rewrite,[status(thm)],[])).
% 1.46/1.66 tff(517,plain,
% 1.46/1.66 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(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(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(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(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.46/1.66 inference(monotonicity,[status(thm)],[516])).
% 1.46/1.66 tff(518,plain,
% 1.46/1.66 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(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(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv3(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(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.46/1.66 inference(transitivity,[status(thm)],[517, 515])).
% 1.46/1.66 tff(519,plain,
% 1.46/1.66 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(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)))))))),
% 1.46/1.66 inference(quant_inst,[status(thm)],[])).
% 1.46/1.66 tff(520,plain,
% 1.46/1.66 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv3(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(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.46/1.66 inference(modus_ponens,[status(thm)],[519, 518])).
% 1.46/1.66 tff(521,plain,
% 1.46/1.66 (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.46/1.66 inference(unit_resolution,[status(thm)],[520, 514, 447, 504])).
% 1.46/1.66 tff(522,plain,
% 1.46/1.66 (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.66 inference(unit_resolution,[status(thm)],[521, 501, 502, 500])).
% 1.46/1.66 tff(523,plain,
% 1.46/1.66 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(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))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(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))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.46/1.66 inference(rewrite,[status(thm)],[])).
% 1.46/1.66 tff(524,plain,
% 1.46/1.66 ((ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(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))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.46/1.66 inference(rewrite,[status(thm)],[])).
% 1.46/1.66 tff(525,plain,
% 1.46/1.66 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(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))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.46/1.66 inference(monotonicity,[status(thm)],[524])).
% 1.46/1.66 tff(526,plain,
% 1.46/1.66 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(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))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.46/1.66 inference(transitivity,[status(thm)],[525, 523])).
% 1.46/1.66 tff(527,plain,
% 1.46/1.66 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(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)))))))),
% 1.46/1.66 inference(quant_inst,[status(thm)],[])).
% 1.46/1.66 tff(528,plain,
% 1.46/1.66 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.46/1.66 inference(modus_ponens,[status(thm)],[527, 526])).
% 1.46/1.66 tff(529,plain,
% 1.46/1.66 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.66 inference(unit_resolution,[status(thm)],[528, 28, 447, 504])).
% 1.46/1.66 tff(530,plain,
% 1.46/1.66 ($false),
% 1.46/1.66 inference(unit_resolution,[status(thm)],[529, 522, 501, 500, 499])).
% 1.46/1.66 tff(531,plain,(ssPv3(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(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.46/1.66 tff(532,plain,
% 1.46/1.66 (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.66 inference(unit_resolution,[status(thm)],[531, 465, 490, 482])).
% 1.46/1.66 tff(533,plain,
% 1.46/1.66 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W)) <=> (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W)))),
% 1.46/1.66 inference(bind,[status(th)],[])).
% 1.46/1.66 tff(534,plain,
% 1.46/1.66 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))),
% 1.46/1.66 inference(quant_intro,[status(thm)],[533])).
% 1.46/1.66 tff(535,plain,
% 1.46/1.66 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))),
% 1.46/1.66 inference(rewrite,[status(thm)],[])).
% 1.46/1.66 tff(536,plain,
% 1.46/1.66 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssPv3(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> (((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))))), rewrite((((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv4(Y)) <=> (((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv4(Y)))), rewrite((((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv4(Y)) | ssPv2(W)) <=> ((ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv2(W)))), rewrite(((ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv2(W)) <=> (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv4(Y)) | ssPv2(W)) <=> (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))))),
% 1.46/1.66 inference(bind,[status(th)],[])).
% 1.46/1.66 tff(537,plain,
% 1.46/1.66 (![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))) | ssPv4(Y)) | ssPv2(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))),
% 1.46/1.66 inference(quant_intro,[status(thm)],[536])).
% 1.46/1.66 tff(538,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))) | ssPv4(Y)) | ssPv2(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause33')).
% 1.46/1.66 tff(539,plain,
% 1.46/1.66 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))),
% 1.46/1.66 inference(modus_ponens,[status(thm)],[538, 537])).
% 1.46/1.66 tff(540,plain,
% 1.46/1.66 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))),
% 1.46/1.66 inference(modus_ponens,[status(thm)],[539, 535])).
% 1.46/1.66 tff(541,plain,(
% 1.46/1.66 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))),
% 1.46/1.66 inference(skolemize,[status(sab)],[540])).
% 1.46/1.66 tff(542,plain,
% 1.46/1.66 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))),
% 1.46/1.66 inference(modus_ponens,[status(thm)],[541, 534])).
% 1.46/1.66 tff(543,plain,
% 1.46/1.66 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.46/1.66 inference(rewrite,[status(thm)],[])).
% 1.46/1.66 tff(544,plain,
% 1.46/1.66 ((ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) <=> (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.46/1.66 inference(rewrite,[status(thm)],[])).
% 1.46/1.66 tff(545,plain,
% 1.46/1.66 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.46/1.66 inference(monotonicity,[status(thm)],[544])).
% 1.46/1.66 tff(546,plain,
% 1.46/1.66 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.46/1.66 inference(transitivity,[status(thm)],[545, 543])).
% 1.46/1.66 tff(547,plain,
% 1.46/1.66 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.66 inference(quant_inst,[status(thm)],[])).
% 1.46/1.66 tff(548,plain,
% 1.46/1.66 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.46/1.67 inference(modus_ponens,[status(thm)],[547, 546])).
% 1.46/1.67 tff(549,plain,
% 1.46/1.67 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.46/1.67 inference(unit_resolution,[status(thm)],[548, 542, 447, 504])).
% 1.46/1.67 tff(550,plain,
% 1.46/1.67 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.67 inference(unit_resolution,[status(thm)],[549, 532, 427, 445])).
% 1.46/1.67 tff(551,plain,
% 1.46/1.67 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) <=> ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))))),
% 1.46/1.67 inference(bind,[status(th)],[])).
% 1.46/1.67 tff(552,plain,
% 1.46/1.67 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~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] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.46/1.67 inference(quant_intro,[status(thm)],[551])).
% 1.46/1.67 tff(553,plain,
% 1.46/1.67 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~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] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.46/1.67 inference(rewrite,[status(thm)],[])).
% 1.46/1.67 tff(554,plain,
% 1.46/1.67 (^[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))) | (~ssPv4(Z))) <=> (((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(Z))))), rewrite((((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(Z))) <=> ((~ssPv2(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))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(Z))) <=> ((~ssPv2(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))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(Z))) | (~ssPv3(W))) <=> (((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(W))))), rewrite((((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(W))) <=> ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))), ((((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(Z))) | (~ssPv3(W))) <=> ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))))),
% 1.46/1.67 inference(bind,[status(th)],[])).
% 1.46/1.67 tff(555,plain,
% 1.46/1.67 (![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))) | (~ssPv4(Z))) | (~ssPv3(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.46/1.67 inference(quant_intro,[status(thm)],[554])).
% 1.46/1.67 tff(556,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))) | (~ssPv4(Z))) | (~ssPv3(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause48')).
% 1.46/1.67 tff(557,plain,
% 1.46/1.67 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.46/1.67 inference(modus_ponens,[status(thm)],[556, 555])).
% 1.46/1.67 tff(558,plain,
% 1.46/1.67 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.46/1.67 inference(modus_ponens,[status(thm)],[557, 553])).
% 1.46/1.67 tff(559,plain,(
% 1.46/1.67 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.46/1.67 inference(skolemize,[status(sab)],[558])).
% 1.46/1.67 tff(560,plain,
% 1.46/1.67 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.46/1.67 inference(modus_ponens,[status(thm)],[559, 552])).
% 1.46/1.67 tff(561,plain,
% 1.46/1.67 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~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] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~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))))))))),
% 1.46/1.67 inference(rewrite,[status(thm)],[])).
% 1.46/1.67 tff(562,plain,
% 1.46/1.67 (((~ssPv2(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))))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~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))))))))),
% 1.46/1.67 inference(rewrite,[status(thm)],[])).
% 1.46/1.67 tff(563,plain,
% 1.46/1.67 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv2(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))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~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)))))))))),
% 1.46/1.67 inference(monotonicity,[status(thm)],[562])).
% 1.46/1.67 tff(564,plain,
% 1.46/1.67 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv2(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))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~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))))))))),
% 1.46/1.67 inference(transitivity,[status(thm)],[563, 561])).
% 1.46/1.67 tff(565,plain,
% 1.46/1.67 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv2(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))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.67 inference(quant_inst,[status(thm)],[])).
% 1.46/1.67 tff(566,plain,
% 1.46/1.67 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~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)))))))),
% 1.46/1.67 inference(modus_ponens,[status(thm)],[565, 564])).
% 1.46/1.67 tff(567,plain,
% 1.46/1.67 ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.67 inference(unit_resolution,[status(thm)],[566, 560, 419, 447])).
% 1.46/1.67 tff(568,plain,
% 1.46/1.67 (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.67 inference(unit_resolution,[status(thm)],[567, 473, 374, 490])).
% 1.46/1.67 tff(569,plain,
% 1.46/1.67 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.46/1.67 inference(quant_inst,[status(thm)],[])).
% 1.46/1.67 tff(570,plain,
% 1.46/1.67 (ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.46/1.67 inference(unit_resolution,[status(thm)],[569, 14])).
% 1.46/1.67 tff(571,plain,
% 1.46/1.67 (^[W: $i, V: $i, U: $i] : refl((ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W))) <=> (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W))))),
% 1.46/1.67 inference(bind,[status(th)],[])).
% 1.46/1.67 tff(572,plain,
% 1.46/1.67 (![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W))) <=> ![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))),
% 1.46/1.67 inference(quant_intro,[status(thm)],[571])).
% 1.46/1.67 tff(573,plain,
% 1.46/1.67 (![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W))) <=> ![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))),
% 1.46/1.67 inference(rewrite,[status(thm)],[])).
% 1.46/1.67 tff(574,plain,
% 1.46/1.67 (^[W: $i, V: $i, U: $i] : 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))) <=> ((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssPv3(W))) <=> (((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V))) | (~ssPv3(W))))), rewrite((((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V))) | (~ssPv3(W))) <=> ((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssPv3(W))) <=> ((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W))))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssPv3(W))) | ssPv1(W)) <=> (((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv1(W)))), rewrite((((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv1(W)) <=> ((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssPv3(W))) | ssPv1(W)) <=> ((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W))))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssPv3(W))) | ssPv1(W)) | ssPv2(W)) <=> (((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W))) | ssPv2(W)))), rewrite((((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W))) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssPv3(W))) | ssPv1(W)) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))))),
% 1.46/1.67 inference(bind,[status(th)],[])).
% 1.46/1.67 tff(575,plain,
% 1.46/1.67 (![W: $i, V: $i, U: $i] : ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssPv3(W))) | ssPv1(W)) | ssPv2(W)) <=> ![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))),
% 1.46/1.67 inference(quant_intro,[status(thm)],[574])).
% 1.46/1.67 tff(576,axiom,(![W: $i, V: $i, U: $i] : ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssPv3(W))) | ssPv1(W)) | ssPv2(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause5')).
% 1.46/1.67 tff(577,plain,
% 1.46/1.67 (![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))),
% 1.46/1.67 inference(modus_ponens,[status(thm)],[576, 575])).
% 1.46/1.67 tff(578,plain,
% 1.46/1.67 (![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))),
% 1.46/1.67 inference(modus_ponens,[status(thm)],[577, 573])).
% 1.46/1.67 tff(579,plain,(
% 1.46/1.67 ![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))),
% 1.46/1.67 inference(skolemize,[status(sab)],[578])).
% 1.46/1.67 tff(580,plain,
% 1.46/1.67 (![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))),
% 1.46/1.67 inference(modus_ponens,[status(thm)],[579, 572])).
% 1.46/1.67 tff(581,plain,
% 1.46/1.67 (((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | (ssPv1(skf1(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))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | ssPv1(skf1(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))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.46/1.67 inference(rewrite,[status(thm)],[])).
% 1.46/1.67 tff(582,plain,
% 1.46/1.67 ((ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(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(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.46/1.67 inference(rewrite,[status(thm)],[])).
% 1.46/1.67 tff(583,plain,
% 1.46/1.67 (((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | (ssPv1(skf1(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))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))))),
% 1.46/1.67 inference(monotonicity,[status(thm)],[582])).
% 1.46/1.67 tff(584,plain,
% 1.46/1.67 (((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | ssPv1(skf1(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))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.46/1.67 inference(transitivity,[status(thm)],[583, 581])).
% 1.46/1.67 tff(585,plain,
% 1.46/1.67 ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.46/1.67 inference(quant_inst,[status(thm)],[])).
% 1.46/1.67 tff(586,plain,
% 1.46/1.67 ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | ssPv1(skf1(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))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.46/1.67 inference(modus_ponens,[status(thm)],[585, 584])).
% 1.46/1.67 tff(587,plain,
% 1.46/1.67 (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.46/1.67 inference(unit_resolution,[status(thm)],[586, 580, 504, 570])).
% 1.46/1.67 tff(588,plain,
% 1.46/1.67 (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.46/1.67 inference(unit_resolution,[status(thm)],[587, 568, 498, 465])).
% 1.46/1.67 tff(589,plain,
% 1.46/1.67 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X))) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X))))),
% 1.46/1.67 inference(bind,[status(th)],[])).
% 1.46/1.67 tff(590,plain,
% 1.46/1.67 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))),
% 1.46/1.67 inference(quant_intro,[status(thm)],[589])).
% 1.46/1.67 tff(591,plain,
% 1.46/1.67 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))),
% 1.46/1.67 inference(rewrite,[status(thm)],[])).
% 1.46/1.67 tff(592,plain,
% 1.46/1.67 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X))) | (~ssPv3(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) | (~ssPv4(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))) | (~ssPv4(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(X))) | (~ssPv4(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) | (~ssPv4(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) | (~ssPv4(W))) | ssPv4(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X))) | ssPv4(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X))) | ssPv4(V)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) | (~ssPv4(W))) | ssPv4(V)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))))),
% 1.46/1.67 inference(bind,[status(th)],[])).
% 1.46/1.67 tff(593,plain,
% 1.46/1.67 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) | (~ssPv4(W))) | ssPv4(V)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))),
% 1.46/1.67 inference(quant_intro,[status(thm)],[592])).
% 1.46/1.67 tff(594,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv3(W))) | (~ssPv4(W))) | ssPv4(V))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause17')).
% 1.46/1.67 tff(595,plain,
% 1.46/1.67 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))),
% 1.46/1.67 inference(modus_ponens,[status(thm)],[594, 593])).
% 1.46/1.67 tff(596,plain,
% 1.46/1.67 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))),
% 1.46/1.67 inference(modus_ponens,[status(thm)],[595, 591])).
% 1.46/1.67 tff(597,plain,(
% 1.46/1.67 ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))),
% 1.46/1.67 inference(skolemize,[status(sab)],[596])).
% 1.46/1.67 tff(598,plain,
% 1.46/1.67 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))),
% 1.46/1.67 inference(modus_ponens,[status(thm)],[597, 590])).
% 1.46/1.67 tff(599,plain,
% 1.46/1.67 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.46/1.67 inference(rewrite,[status(thm)],[])).
% 1.46/1.67 tff(600,plain,
% 1.46/1.67 ((ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.46/1.67 inference(rewrite,[status(thm)],[])).
% 1.46/1.67 tff(601,plain,
% 1.46/1.67 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.46/1.67 inference(monotonicity,[status(thm)],[600])).
% 1.46/1.67 tff(602,plain,
% 1.46/1.67 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.46/1.67 inference(transitivity,[status(thm)],[601, 599])).
% 1.46/1.67 tff(603,plain,
% 1.46/1.67 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.46/1.67 inference(quant_inst,[status(thm)],[])).
% 1.46/1.67 tff(604,plain,
% 1.46/1.67 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.46/1.67 inference(modus_ponens,[status(thm)],[603, 602])).
% 1.46/1.67 tff(605,plain,
% 1.46/1.67 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.46/1.67 inference(unit_resolution,[status(thm)],[604, 598, 504, 570])).
% 1.46/1.67 tff(606,plain,
% 1.46/1.67 ($false),
% 1.46/1.67 inference(unit_resolution,[status(thm)],[605, 588, 550, 498, 473])).
% 1.46/1.67 tff(607,plain,(ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.46/1.67 tff(608,plain,
% 1.46/1.67 (ssPv3(skf1(skf1(elem!0)))),
% 1.46/1.67 inference(unit_resolution,[status(thm)],[607, 7, 5, 6])).
% 1.46/1.67 tff(609,plain,
% 1.46/1.67 (~ssPv1(elem!0)),
% 1.46/1.67 inference(unit_resolution,[status(thm)],[362, 4, 608, 5])).
% 1.46/1.67 tff(610,assumption,(ssPv3(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.46/1.67 tff(611,assumption,(~ssPv2(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.46/1.67 tff(612,plain,
% 1.46/1.67 (^[W: $i, V: $i, U: $i] : refl((ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W))) <=> (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W))))),
% 1.46/1.67 inference(bind,[status(th)],[])).
% 1.46/1.67 tff(613,plain,
% 1.46/1.67 (![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W))) <=> ![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.46/1.67 inference(quant_intro,[status(thm)],[612])).
% 1.46/1.67 tff(614,plain,
% 1.46/1.67 (![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W))) <=> ![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.46/1.67 inference(rewrite,[status(thm)],[])).
% 1.46/1.67 tff(615,plain,
% 1.46/1.67 (^[W: $i, V: $i, U: $i] : 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))) <=> ((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssPv3(W))) <=> (((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V))) | (~ssPv3(W))))), rewrite((((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V))) | (~ssPv3(W))) <=> ((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssPv3(W))) <=> ((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W))))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssPv3(W))) | ssPv2(W)) <=> (((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv2(W)))), rewrite((((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssPv3(W))) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W))))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssPv3(W))) | ssPv2(W)) | ssPv4(W)) <=> ((ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv4(W)))), rewrite(((ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv4(W)) <=> (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssPv3(W))) | ssPv2(W)) | ssPv4(W)) <=> (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))))),
% 1.46/1.67 inference(bind,[status(th)],[])).
% 1.46/1.67 tff(616,plain,
% 1.46/1.67 (![W: $i, V: $i, U: $i] : ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssPv3(W))) | ssPv2(W)) | ssPv4(W)) <=> ![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.46/1.67 inference(quant_intro,[status(thm)],[615])).
% 1.46/1.67 tff(617,axiom,(![W: $i, V: $i, U: $i] : ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssPv3(W))) | ssPv2(W)) | ssPv4(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause4')).
% 1.46/1.67 tff(618,plain,
% 1.46/1.67 (![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.46/1.67 inference(modus_ponens,[status(thm)],[617, 616])).
% 1.46/1.67 tff(619,plain,
% 1.46/1.67 (![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.46/1.67 inference(modus_ponens,[status(thm)],[618, 614])).
% 1.46/1.67 tff(620,plain,(
% 1.46/1.67 ![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.46/1.67 inference(skolemize,[status(sab)],[619])).
% 1.46/1.67 tff(621,plain,
% 1.46/1.67 (![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.46/1.67 inference(modus_ponens,[status(thm)],[620, 613])).
% 1.46/1.67 tff(622,plain,
% 1.46/1.67 (((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.68 inference(rewrite,[status(thm)],[])).
% 1.46/1.68 tff(623,plain,
% 1.46/1.68 ((ssPv4(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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0))))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.68 inference(rewrite,[status(thm)],[])).
% 1.46/1.68 tff(624,plain,
% 1.46/1.68 (((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.46/1.68 inference(monotonicity,[status(thm)],[623])).
% 1.46/1.68 tff(625,plain,
% 1.46/1.68 (((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.68 inference(transitivity,[status(thm)],[624, 622])).
% 1.46/1.68 tff(626,plain,
% 1.46/1.68 ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.46/1.68 inference(quant_inst,[status(thm)],[])).
% 1.46/1.68 tff(627,plain,
% 1.46/1.68 ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.68 inference(modus_ponens,[status(thm)],[626, 625])).
% 1.46/1.68 tff(628,plain,
% 1.46/1.68 (ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.68 inference(unit_resolution,[status(thm)],[627, 621, 150, 419])).
% 1.46/1.68 tff(629,plain,
% 1.46/1.68 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.46/1.68 inference(unit_resolution,[status(thm)],[628, 611, 5, 610])).
% 1.46/1.68 tff(630,assumption,(ssPv3(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.46/1.68 tff(631,plain,
% 1.46/1.68 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.68 inference(rewrite,[status(thm)],[])).
% 1.46/1.68 tff(632,plain,
% 1.46/1.68 ((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(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(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(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.46/1.68 inference(rewrite,[status(thm)],[])).
% 1.46/1.68 tff(633,plain,
% 1.46/1.68 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | (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(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.46/1.68 inference(monotonicity,[status(thm)],[632])).
% 1.52/1.68 tff(634,plain,
% 1.52/1.68 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | (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(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.68 inference(transitivity,[status(thm)],[633, 631])).
% 1.52/1.68 tff(635,plain,
% 1.52/1.68 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | (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(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.68 inference(quant_inst,[status(thm)],[])).
% 1.52/1.68 tff(636,plain,
% 1.52/1.68 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[635, 634])).
% 1.52/1.68 tff(637,plain,
% 1.52/1.68 (ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[636, 300, 150, 419])).
% 1.52/1.68 tff(638,plain,
% 1.52/1.68 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[637, 611, 630, 4])).
% 1.52/1.68 tff(639,plain,
% 1.52/1.68 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W)) <=> (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W)))),
% 1.52/1.68 inference(bind,[status(th)],[])).
% 1.52/1.68 tff(640,plain,
% 1.52/1.68 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))),
% 1.52/1.68 inference(quant_intro,[status(thm)],[639])).
% 1.52/1.68 tff(641,plain,
% 1.52/1.68 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))),
% 1.52/1.68 inference(rewrite,[status(thm)],[])).
% 1.52/1.68 tff(642,plain,
% 1.52/1.68 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv1(V))) <=> ((~ssPv1(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> (((~ssPv1(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv1(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> ((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) <=> (((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Z))) <=> ((~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) <=> ((~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv4(Y)) <=> (((~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Y)))), rewrite((((~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv4(Y)) | ssPv4(W)) <=> ((ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)))), rewrite(((ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)) <=> (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))), ((((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv4(Y)) | ssPv4(W)) <=> (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))))),
% 1.52/1.68 inference(bind,[status(th)],[])).
% 1.52/1.68 tff(643,plain,
% 1.52/1.68 (![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))) | (~ssPv1(Z))) | ssPv4(Y)) | ssPv4(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))),
% 1.52/1.68 inference(quant_intro,[status(thm)],[642])).
% 1.52/1.68 tff(644,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))) | (~ssPv1(Z))) | ssPv4(Y)) | ssPv4(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause44')).
% 1.52/1.68 tff(645,plain,
% 1.52/1.68 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[644, 643])).
% 1.52/1.68 tff(646,plain,
% 1.52/1.68 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[645, 641])).
% 1.52/1.68 tff(647,plain,(
% 1.52/1.68 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))),
% 1.52/1.68 inference(skolemize,[status(sab)],[646])).
% 1.52/1.68 tff(648,plain,
% 1.52/1.68 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[647, 640])).
% 1.52/1.68 tff(649,plain,
% 1.52/1.68 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.68 inference(rewrite,[status(thm)],[])).
% 1.52/1.68 tff(650,plain,
% 1.52/1.68 ((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)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0)))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.68 inference(rewrite,[status(thm)],[])).
% 1.52/1.68 tff(651,plain,
% 1.52/1.68 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (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)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.68 inference(monotonicity,[status(thm)],[650])).
% 1.52/1.68 tff(652,plain,
% 1.52/1.68 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (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)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.68 inference(transitivity,[status(thm)],[651, 649])).
% 1.52/1.68 tff(653,plain,
% 1.52/1.68 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (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)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))))),
% 1.52/1.68 inference(quant_inst,[status(thm)],[])).
% 1.52/1.68 tff(654,plain,
% 1.52/1.68 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[653, 652])).
% 1.52/1.68 tff(655,plain,
% 1.52/1.68 (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[654, 648, 150, 419])).
% 1.52/1.68 tff(656,plain,
% 1.52/1.68 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[655, 638, 5, 629])).
% 1.52/1.68 tff(657,plain,
% 1.52/1.68 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[464, 638, 630, 656])).
% 1.52/1.68 tff(658,plain,
% 1.52/1.68 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.68 inference(rewrite,[status(thm)],[])).
% 1.52/1.68 tff(659,plain,
% 1.52/1.68 (((~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) <=> (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.68 inference(rewrite,[status(thm)],[])).
% 1.52/1.68 tff(660,plain,
% 1.52/1.68 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ((~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.52/1.68 inference(monotonicity,[status(thm)],[659])).
% 1.52/1.68 tff(661,plain,
% 1.52/1.68 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ((~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.68 inference(transitivity,[status(thm)],[660, 658])).
% 1.52/1.68 tff(662,plain,
% 1.52/1.68 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ((~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.68 inference(quant_inst,[status(thm)],[])).
% 1.52/1.68 tff(663,plain,
% 1.52/1.68 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[662, 661])).
% 1.52/1.68 tff(664,plain,
% 1.52/1.68 (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[663, 244, 419, 447])).
% 1.52/1.68 tff(665,plain,
% 1.52/1.68 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[664, 629, 630, 656])).
% 1.52/1.68 tff(666,plain,
% 1.52/1.68 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))) <=> (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))))),
% 1.52/1.68 inference(bind,[status(th)],[])).
% 1.52/1.68 tff(667,plain,
% 1.52/1.68 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(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] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))),
% 1.52/1.68 inference(quant_intro,[status(thm)],[666])).
% 1.52/1.68 tff(668,plain,
% 1.52/1.68 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(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] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))),
% 1.52/1.68 inference(rewrite,[status(thm)],[])).
% 1.52/1.68 tff(669,plain,
% 1.52/1.68 (^[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))) | (~ssPv1(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(X))) <=> ((~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) <=> ((~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssRr(W, Y))) <=> (((~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))))), rewrite((((~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))) <=> ((~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssRr(W, Y))) <=> ((~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) <=> (((~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv4(W))))), rewrite((((~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv4(W))) <=> ((~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) <=> ((~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) | ssPv1(V)) <=> (((~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))) | ssPv1(V)))), rewrite((((~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))) | ssPv1(V)) <=> (ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) | ssPv1(V)) <=> (ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) | ssPv1(V)) | ssPv4(Y)) <=> ((ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))) | ssPv4(Y)))), rewrite(((ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))) | ssPv4(Y)) <=> (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) | ssPv1(V)) | ssPv4(Y)) <=> (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))))),
% 1.52/1.68 inference(bind,[status(th)],[])).
% 1.52/1.68 tff(670,plain,
% 1.52/1.68 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) | ssPv1(V)) | ssPv4(Y)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))),
% 1.52/1.68 inference(quant_intro,[status(thm)],[669])).
% 1.52/1.68 tff(671,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) | ssPv1(V)) | ssPv4(Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause34')).
% 1.52/1.68 tff(672,plain,
% 1.52/1.68 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[671, 670])).
% 1.52/1.68 tff(673,plain,
% 1.52/1.68 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[672, 668])).
% 1.52/1.68 tff(674,plain,(
% 1.52/1.68 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))),
% 1.52/1.68 inference(skolemize,[status(sab)],[673])).
% 1.52/1.68 tff(675,plain,
% 1.52/1.68 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[674, 667])).
% 1.52/1.69 tff(676,plain,
% 1.52/1.69 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(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))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(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))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(677,plain,
% 1.52/1.69 ((ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(678,plain,
% 1.52/1.69 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(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))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[677])).
% 1.52/1.69 tff(679,plain,
% 1.52/1.69 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(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))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.69 inference(transitivity,[status(thm)],[678, 676])).
% 1.52/1.69 tff(680,plain,
% 1.52/1.69 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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))))))),
% 1.52/1.69 inference(quant_inst,[status(thm)],[])).
% 1.52/1.69 tff(681,plain,
% 1.52/1.69 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(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))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[680, 679])).
% 1.52/1.69 tff(682,plain,
% 1.52/1.69 ((~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[681, 675, 419, 447])).
% 1.52/1.69 tff(683,plain,
% 1.52/1.69 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[682, 657, 629, 638])).
% 1.52/1.69 tff(684,plain,
% 1.52/1.69 (((~![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(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(685,plain,
% 1.52/1.69 ((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)))))) <=> (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(686,plain,
% 1.52/1.69 (((~![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)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[685])).
% 1.52/1.69 tff(687,plain,
% 1.52/1.69 (((~![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)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.69 inference(transitivity,[status(thm)],[686, 684])).
% 1.52/1.69 tff(688,plain,
% 1.52/1.69 ((~![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))))))),
% 1.52/1.69 inference(quant_inst,[status(thm)],[])).
% 1.52/1.69 tff(689,plain,
% 1.52/1.69 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[688, 687])).
% 1.52/1.69 tff(690,plain,
% 1.52/1.69 (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[689, 103, 419, 447])).
% 1.52/1.69 tff(691,plain,
% 1.52/1.69 ($false),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[690, 683, 665, 630, 657])).
% 1.52/1.69 tff(692,plain,(ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.69 tff(693,plain,
% 1.52/1.69 (ssPv2(skf1(skf1(elem!0)))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[692, 4, 5, 608, 374])).
% 1.52/1.69 tff(694,plain,
% 1.52/1.69 (ssPv2(skf1(elem!0))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[147, 693, 5, 609])).
% 1.52/1.69 tff(695,plain,
% 1.52/1.69 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[396, 694, 5, 374])).
% 1.52/1.69 tff(696,assumption,(ssPv2(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.52/1.69 tff(697,assumption,(~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.52/1.69 tff(698,plain,
% 1.52/1.69 (((~![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(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(699,plain,
% 1.52/1.69 ((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))))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(700,plain,
% 1.52/1.69 (((~![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)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[699])).
% 1.52/1.69 tff(701,plain,
% 1.52/1.69 (((~![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)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.69 inference(transitivity,[status(thm)],[700, 698])).
% 1.52/1.69 tff(702,plain,
% 1.52/1.69 ((~![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)))))),
% 1.52/1.69 inference(quant_inst,[status(thm)],[])).
% 1.52/1.69 tff(703,plain,
% 1.52/1.69 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[702, 701])).
% 1.52/1.69 tff(704,plain,
% 1.52/1.69 (ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[703, 103, 150, 419])).
% 1.52/1.69 tff(705,plain,
% 1.52/1.69 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[704, 697, 5, 610])).
% 1.52/1.69 tff(706,plain,
% 1.52/1.69 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[655, 705, 5, 697])).
% 1.52/1.69 tff(707,plain,
% 1.52/1.69 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[464, 705, 630, 706])).
% 1.52/1.69 tff(708,plain,
% 1.52/1.69 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[664, 706, 630, 697])).
% 1.52/1.69 tff(709,plain,
% 1.52/1.69 ($false),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[472, 708, 707, 630, 696])).
% 1.52/1.69 tff(710,plain,(ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.69 tff(711,plain,
% 1.52/1.69 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[710, 695, 374, 5, 608])).
% 1.52/1.69 tff(712,plain,
% 1.52/1.69 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~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(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~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(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(713,plain,
% 1.52/1.69 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(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(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(714,plain,
% 1.52/1.69 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~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(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[713])).
% 1.52/1.69 tff(715,plain,
% 1.52/1.69 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~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(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.69 inference(transitivity,[status(thm)],[714, 712])).
% 1.52/1.69 tff(716,plain,
% 1.52/1.69 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.52/1.69 inference(quant_inst,[status(thm)],[])).
% 1.52/1.69 tff(717,plain,
% 1.52/1.69 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~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(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[716, 715])).
% 1.52/1.69 tff(718,plain,
% 1.52/1.69 (ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[717, 264, 150, 419])).
% 1.52/1.69 tff(719,plain,
% 1.52/1.69 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[718, 693, 374, 4])).
% 1.52/1.69 tff(720,plain,
% 1.52/1.69 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(721,plain,
% 1.52/1.69 (((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0))))) <=> (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(722,plain,
% 1.52/1.69 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[721])).
% 1.52/1.69 tff(723,plain,
% 1.52/1.69 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.69 inference(transitivity,[status(thm)],[722, 720])).
% 1.52/1.69 tff(724,plain,
% 1.52/1.69 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.69 inference(quant_inst,[status(thm)],[])).
% 1.52/1.69 tff(725,plain,
% 1.52/1.69 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[724, 723])).
% 1.52/1.69 tff(726,plain,
% 1.52/1.69 (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[725, 244, 150, 419])).
% 1.52/1.69 tff(727,plain,
% 1.52/1.69 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[726, 711, 608, 4])).
% 1.52/1.69 tff(728,plain,
% 1.52/1.69 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(729,plain,
% 1.52/1.69 ((ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(730,plain,
% 1.52/1.69 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[729])).
% 1.52/1.69 tff(731,plain,
% 1.52/1.69 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.69 inference(transitivity,[status(thm)],[730, 728])).
% 1.52/1.69 tff(732,plain,
% 1.52/1.69 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.69 inference(quant_inst,[status(thm)],[])).
% 1.52/1.69 tff(733,plain,
% 1.52/1.69 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[732, 731])).
% 1.52/1.69 tff(734,plain,
% 1.52/1.69 ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[733, 598, 419, 447])).
% 1.52/1.70 tff(735,plain,
% 1.52/1.70 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[734, 727, 374, 711])).
% 1.52/1.70 tff(736,plain,
% 1.52/1.70 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(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(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(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(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(737,plain,
% 1.52/1.70 ((ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(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(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(738,plain,
% 1.52/1.70 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(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(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.52/1.70 inference(monotonicity,[status(thm)],[737])).
% 1.52/1.70 tff(739,plain,
% 1.52/1.70 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(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(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.52/1.70 inference(transitivity,[status(thm)],[738, 736])).
% 1.52/1.70 tff(740,plain,
% 1.52/1.70 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(741,plain,
% 1.52/1.70 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(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(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[740, 739])).
% 1.52/1.70 tff(742,plain,
% 1.52/1.70 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[741, 598, 447, 504])).
% 1.52/1.70 tff(743,plain,
% 1.52/1.70 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[742, 735, 719, 711])).
% 1.52/1.70 tff(744,plain,
% 1.52/1.70 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(745,plain,
% 1.52/1.70 (((~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)))))) | (~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)))))) | (~ssPv3(skf1(skf1(elem!0))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(746,plain,
% 1.52/1.70 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~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)))))) | (~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)))))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.70 inference(monotonicity,[status(thm)],[745])).
% 1.52/1.70 tff(747,plain,
% 1.52/1.70 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~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)))))) | (~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)))))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.70 inference(transitivity,[status(thm)],[746, 744])).
% 1.52/1.70 tff(748,plain,
% 1.52/1.70 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~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)))))) | (~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)))))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(749,plain,
% 1.52/1.70 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[748, 747])).
% 1.52/1.70 tff(750,plain,
% 1.52/1.70 ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[749, 560, 150, 419])).
% 1.52/1.70 tff(751,plain,
% 1.52/1.70 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[750, 727, 608, 711])).
% 1.52/1.70 tff(752,plain,
% 1.52/1.70 (^[W: $i, V: $i, U: $i] : refl(((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V))))),
% 1.52/1.70 inference(bind,[status(th)],[])).
% 1.52/1.70 tff(753,plain,
% 1.52/1.70 (![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V))) <=> ![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))),
% 1.52/1.70 inference(quant_intro,[status(thm)],[752])).
% 1.52/1.70 tff(754,plain,
% 1.52/1.70 (![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V))) <=> ![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(755,plain,
% 1.52/1.70 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv2(V))) <=> ((~ssRr(U, V)) | (~ssPv2(V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> (((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))))), rewrite((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssPv2(W))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv2(W))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv2(W))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssPv2(W))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssPv2(W))) | (~ssPv4(W))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))) | (~ssPv4(W))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))) | (~ssPv4(W))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssPv2(W))) | (~ssPv4(W))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V))))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssPv2(W))) | (~ssPv4(W))) | ssPv1(W)) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V))) | ssPv1(W)))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V))) | ssPv1(W)) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssPv2(W))) | (~ssPv4(W))) | ssPv1(W)) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))))),
% 1.52/1.70 inference(bind,[status(th)],[])).
% 1.52/1.70 tff(756,plain,
% 1.52/1.70 (![W: $i, V: $i, U: $i] : ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssPv2(W))) | (~ssPv4(W))) | ssPv1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))),
% 1.52/1.70 inference(quant_intro,[status(thm)],[755])).
% 1.52/1.70 tff(757,axiom,(![W: $i, V: $i, U: $i] : ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssPv2(W))) | (~ssPv4(W))) | ssPv1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause7')).
% 1.52/1.70 tff(758,plain,
% 1.52/1.70 (![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[757, 756])).
% 1.52/1.70 tff(759,plain,
% 1.52/1.70 (![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[758, 754])).
% 1.52/1.70 tff(760,plain,(
% 1.52/1.70 ![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))),
% 1.52/1.70 inference(skolemize,[status(sab)],[759])).
% 1.52/1.70 tff(761,plain,
% 1.52/1.70 (![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[760, 753])).
% 1.52/1.70 tff(762,plain,
% 1.52/1.70 (((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(763,plain,
% 1.52/1.70 (((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))) <=> (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(764,plain,
% 1.52/1.70 (((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.70 inference(monotonicity,[status(thm)],[763])).
% 1.52/1.70 tff(765,plain,
% 1.52/1.70 (((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.70 inference(transitivity,[status(thm)],[764, 762])).
% 1.52/1.70 tff(766,plain,
% 1.52/1.70 ((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(767,plain,
% 1.52/1.70 ((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[766, 765])).
% 1.52/1.70 tff(768,plain,
% 1.52/1.70 (ssPv1(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[767, 761, 16, 150])).
% 1.52/1.70 tff(769,plain,
% 1.52/1.70 (~ssPv4(skf1(elem!0))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[768, 695, 6, 694])).
% 1.52/1.70 tff(770,plain,
% 1.52/1.70 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[213, 727, 7, 769])).
% 1.52/1.70 tff(771,plain,
% 1.52/1.70 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(772,plain,
% 1.52/1.70 ((ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(773,plain,
% 1.52/1.70 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.70 inference(monotonicity,[status(thm)],[772])).
% 1.52/1.70 tff(774,plain,
% 1.52/1.70 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.70 inference(transitivity,[status(thm)],[773, 771])).
% 1.52/1.70 tff(775,plain,
% 1.52/1.70 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(776,plain,
% 1.52/1.70 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[775, 774])).
% 1.52/1.70 tff(777,plain,
% 1.52/1.70 (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[776, 178, 150, 419])).
% 1.52/1.70 tff(778,plain,
% 1.52/1.70 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[777, 770, 5, 4])).
% 1.52/1.70 tff(779,plain,
% 1.52/1.70 (((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(780,plain,
% 1.52/1.70 ((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(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))))))) <=> ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(781,plain,
% 1.52/1.70 (((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | (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(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)))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.52/1.70 inference(monotonicity,[status(thm)],[780])).
% 1.52/1.70 tff(782,plain,
% 1.52/1.70 (((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | (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(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)))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.52/1.70 inference(transitivity,[status(thm)],[781, 779])).
% 1.52/1.70 tff(783,plain,
% 1.52/1.70 ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | (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(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)))))))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(784,plain,
% 1.52/1.70 ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[783, 782])).
% 1.52/1.70 tff(785,plain,
% 1.52/1.70 ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[784, 580, 447, 504])).
% 1.52/1.70 tff(786,plain,
% 1.52/1.70 ($false),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[785, 778, 751, 719, 743])).
% 1.52/1.70 tff(787,plain,(ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.70 tff(788,plain,
% 1.52/1.70 (ssPv1(skf1(skf1(elem!0)))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[787, 7, 5, 6])).
% 1.52/1.70 tff(789,assumption,(ssPv1(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.52/1.70 tff(790,plain,
% 1.52/1.70 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), 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(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(791,plain,
% 1.52/1.70 ((ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0))))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(792,plain,
% 1.52/1.70 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.70 inference(monotonicity,[status(thm)],[791])).
% 1.52/1.70 tff(793,plain,
% 1.52/1.70 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.70 inference(transitivity,[status(thm)],[792, 790])).
% 1.52/1.70 tff(794,plain,
% 1.52/1.70 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(795,plain,
% 1.52/1.70 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[794, 793])).
% 1.52/1.70 tff(796,plain,
% 1.52/1.70 (ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[795, 121, 150, 419])).
% 1.52/1.70 tff(797,plain,
% 1.52/1.70 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[796, 187, 5, 610])).
% 1.52/1.70 tff(798,plain,
% 1.52/1.70 ($false),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[426, 797, 187, 5, 789])).
% 1.52/1.70 tff(799,plain,(ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.70 tff(800,plain,
% 1.52/1.70 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[799, 788, 5, 608])).
% 1.52/1.70 tff(801,plain,
% 1.52/1.70 (ssPv2(skf1(elem!0))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[325, 800, 6, 7])).
% 1.52/1.70 tff(802,plain,
% 1.52/1.70 (ssPv4(skf1(elem!0))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[185, 800, 6, 788])).
% 1.52/1.70 tff(803,plain,
% 1.52/1.70 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[396, 801, 5, 374])).
% 1.52/1.70 tff(804,plain,
% 1.52/1.70 ($false),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[768, 803, 802, 6, 801])).
% 1.52/1.70 tff(805,plain,(ssPv3(skf1(elem!0)) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.70 tff(806,plain,
% 1.52/1.70 (ssPv3(skf1(elem!0))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[805, 6, 5])).
% 1.52/1.70 tff(807,plain,
% 1.52/1.70 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[251, 806, 5, 6])).
% 1.52/1.70 tff(808,plain,
% 1.52/1.70 (^[W: $i, V: $i, U: $i] : refl((ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V))) <=> (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V))))),
% 1.52/1.70 inference(bind,[status(th)],[])).
% 1.52/1.70 tff(809,plain,
% 1.52/1.70 (![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V))) <=> ![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))),
% 1.52/1.70 inference(quant_intro,[status(thm)],[808])).
% 1.52/1.70 tff(810,plain,
% 1.52/1.70 (![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V))) <=> ![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(811,plain,
% 1.52/1.70 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssRr(U, V)) | (~ssPv3(V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))))), rewrite((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssPv3(W))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V))) | (~ssPv3(W))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(V))) | (~ssPv3(W))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssPv3(W))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssPv3(W))) | ssPv1(W)) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(V))) | ssPv1(W)))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(V))) | ssPv1(W)) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssPv3(W))) | ssPv1(W)) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssPv3(W))) | ssPv1(W)) | ssPv2(W)) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V))) | ssPv2(W)))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V))) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssPv3(W))) | ssPv1(W)) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))))),
% 1.52/1.71 inference(bind,[status(th)],[])).
% 1.52/1.71 tff(812,plain,
% 1.52/1.71 (![W: $i, V: $i, U: $i] : ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssPv3(W))) | ssPv1(W)) | ssPv2(W)) <=> ![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))),
% 1.52/1.71 inference(quant_intro,[status(thm)],[811])).
% 1.52/1.71 tff(813,axiom,(![W: $i, V: $i, U: $i] : ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssPv3(W))) | ssPv1(W)) | ssPv2(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause6')).
% 1.52/1.71 tff(814,plain,
% 1.52/1.71 (![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[813, 812])).
% 1.52/1.71 tff(815,plain,
% 1.52/1.71 (![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[814, 810])).
% 1.52/1.71 tff(816,plain,(
% 1.52/1.71 ![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))),
% 1.52/1.71 inference(skolemize,[status(sab)],[815])).
% 1.52/1.71 tff(817,plain,
% 1.52/1.71 (![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[816, 809])).
% 1.52/1.71 tff(818,plain,
% 1.52/1.71 (((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(819,plain,
% 1.52/1.71 ((ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))) <=> (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(820,plain,
% 1.52/1.71 (((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.71 inference(monotonicity,[status(thm)],[819])).
% 1.52/1.71 tff(821,plain,
% 1.52/1.71 (((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(transitivity,[status(thm)],[820, 818])).
% 1.52/1.71 tff(822,plain,
% 1.52/1.71 ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(823,plain,
% 1.52/1.71 ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[822, 821])).
% 1.52/1.71 tff(824,plain,
% 1.52/1.71 (ssPv1(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | ssPv2(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[823, 817, 16, 150])).
% 1.52/1.71 tff(825,plain,
% 1.52/1.71 (ssPv2(skf1(elem!0))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[824, 806, 6, 374])).
% 1.52/1.71 tff(826,plain,
% 1.52/1.71 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[233, 807, 825, 806])).
% 1.52/1.71 tff(827,plain,
% 1.52/1.71 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(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)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(828,plain,
% 1.52/1.71 (((~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)) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))) <=> (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(829,plain,
% 1.52/1.71 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(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)) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(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) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.71 inference(monotonicity,[status(thm)],[828])).
% 1.52/1.71 tff(830,plain,
% 1.52/1.71 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(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)) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(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) | (~ssPv1(X)) | (~ssPv1(V)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(transitivity,[status(thm)],[829, 827])).
% 1.52/1.71 tff(831,plain,
% 1.52/1.71 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(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)) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(832,plain,
% 1.52/1.71 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[831, 830])).
% 1.52/1.71 tff(833,plain,
% 1.52/1.71 (ssPv1(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[832, 457, 16, 150])).
% 1.52/1.71 tff(834,plain,
% 1.52/1.71 (~ssPv1(skf1(skf1(elem!0)))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[833, 826, 6, 806])).
% 1.52/1.71 tff(835,plain,
% 1.52/1.71 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[777, 834, 5, 826])).
% 1.52/1.71 tff(836,plain,
% 1.52/1.71 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(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(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(837,plain,
% 1.52/1.71 ((ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))) <=> (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(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)))))))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(838,plain,
% 1.52/1.71 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.71 inference(monotonicity,[status(thm)],[837])).
% 1.52/1.71 tff(839,plain,
% 1.52/1.71 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.71 inference(transitivity,[status(thm)],[838, 836])).
% 1.52/1.71 tff(840,plain,
% 1.52/1.71 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(841,plain,
% 1.52/1.71 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[840, 839])).
% 1.52/1.71 tff(842,plain,
% 1.52/1.71 (ssPv4(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))))))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[841, 121, 419, 447])).
% 1.52/1.71 tff(843,plain,
% 1.52/1.71 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[842, 835, 374, 807])).
% 1.52/1.71 tff(844,plain,
% 1.52/1.71 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(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)))))) | ssPv1(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(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(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)))))) | ssPv1(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))))))))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(845,plain,
% 1.52/1.71 (((~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(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)))))) | ssPv1(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))))))))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(846,plain,
% 1.52/1.71 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(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)))))) | ssPv1(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)))))))))),
% 1.52/1.71 inference(monotonicity,[status(thm)],[845])).
% 1.52/1.71 tff(847,plain,
% 1.52/1.71 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(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)))))) | ssPv1(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))))))))),
% 1.52/1.71 inference(transitivity,[status(thm)],[846, 844])).
% 1.52/1.71 tff(848,plain,
% 1.52/1.71 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | ((~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(849,plain,
% 1.52/1.71 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[848, 847])).
% 1.52/1.71 tff(850,plain,
% 1.52/1.71 ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[849, 83, 419, 447])).
% 1.52/1.71 tff(851,plain,
% 1.52/1.71 ($false),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[850, 843, 835, 826, 807])).
% 1.52/1.71 tff(852,plain,(ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.71 tff(853,plain,
% 1.52/1.71 (ssPv1(skf1(elem!0))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[852, 5])).
% 1.52/1.71 tff(854,plain,
% 1.52/1.71 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) <=> (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))),
% 1.52/1.71 inference(bind,[status(th)],[])).
% 1.52/1.71 tff(855,plain,
% 1.52/1.71 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(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] : (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.52/1.71 inference(quant_intro,[status(thm)],[854])).
% 1.52/1.71 tff(856,plain,
% 1.52/1.71 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(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] : (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(857,plain,
% 1.52/1.71 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) <=> (((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Z))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Z))) <=> ((~ssPv1(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))) | (~ssPv1(Z))) <=> ((~ssPv1(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))) | (~ssPv1(Z))) | (~ssPv1(W))) <=> (((~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))))), rewrite((((~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))) <=> ((~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | (~ssPv1(W))) <=> ((~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | (~ssPv1(W))) | ssPv4(V)) <=> (((~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv4(V)))), rewrite((((~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv4(V)) <=> ((~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | (~ssPv1(W))) | ssPv4(V)) <=> ((~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))), ((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | (~ssPv1(W))) | ssPv4(V)) | ssPv1(Y)) <=> (((~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv1(Y)))), rewrite((((~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), ((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | (~ssPv1(W))) | ssPv4(V)) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))))),
% 1.52/1.71 inference(bind,[status(th)],[])).
% 1.52/1.71 tff(858,plain,
% 1.52/1.71 (![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))) | (~ssPv1(Z))) | (~ssPv1(W))) | ssPv4(V)) | ssPv1(Y)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.52/1.71 inference(quant_intro,[status(thm)],[857])).
% 1.52/1.71 tff(859,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))) | (~ssPv1(Z))) | (~ssPv1(W))) | ssPv4(V)) | ssPv1(Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause41')).
% 1.52/1.71 tff(860,plain,
% 1.52/1.71 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[859, 858])).
% 1.52/1.71 tff(861,plain,
% 1.52/1.71 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[860, 856])).
% 1.52/1.71 tff(862,plain,(
% 1.52/1.71 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.52/1.71 inference(skolemize,[status(sab)],[861])).
% 1.52/1.71 tff(863,plain,
% 1.52/1.71 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[862, 855])).
% 1.52/1.71 tff(864,plain,
% 1.52/1.71 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(865,plain,
% 1.52/1.71 ((ssPv1(skf1(skf1(elem!0))) | (~ssPv1(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))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(866,plain,
% 1.52/1.71 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(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))) | (~ssPv1(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] : (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0)))))),
% 1.52/1.71 inference(monotonicity,[status(thm)],[865])).
% 1.52/1.71 tff(867,plain,
% 1.52/1.71 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(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))) | (~ssPv1(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] : (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))))),
% 1.52/1.71 inference(transitivity,[status(thm)],[866, 864])).
% 1.52/1.71 tff(868,plain,
% 1.52/1.71 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(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))) | (~ssPv1(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)))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(869,plain,
% 1.52/1.71 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0)))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[868, 867])).
% 1.52/1.72 tff(870,plain,
% 1.52/1.72 (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssPv1(skf1(elem!0)))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[869, 863, 18, 16])).
% 1.52/1.72 tff(871,plain,
% 1.52/1.72 (~ssPv1(elem!0)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[870, 4, 853, 5])).
% 1.52/1.72 tff(872,assumption,(~ssPv1(elem!0)), introduced(assumption)).
% 1.52/1.72 tff(873,plain,
% 1.52/1.72 (ssPv3(elem!0)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[72, 872, 1, 5])).
% 1.52/1.72 tff(874,plain,
% 1.52/1.72 (~ssPv4(skf1(elem!0))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[415, 873, 7, 1])).
% 1.52/1.72 tff(875,assumption,(ssPv1(skf1(elem!0))), introduced(assumption)).
% 1.52/1.72 tff(876,plain,
% 1.52/1.72 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(877,plain,
% 1.52/1.72 (((~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) | (~ssPv1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0))))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(878,plain,
% 1.52/1.72 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(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) | (~ssPv1(skf1(elem!0))) | (~ssPv1(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) | (~ssPv1(X)) | (~ssPv1(V)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0)))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[877])).
% 1.52/1.72 tff(879,plain,
% 1.52/1.72 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(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) | (~ssPv1(skf1(elem!0))) | (~ssPv1(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) | (~ssPv1(X)) | (~ssPv1(V)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))))),
% 1.52/1.72 inference(transitivity,[status(thm)],[878, 876])).
% 1.52/1.72 tff(880,plain,
% 1.52/1.72 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(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) | (~ssPv1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(881,plain,
% 1.52/1.72 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0)))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[880, 879])).
% 1.52/1.72 tff(882,plain,
% 1.52/1.72 (ssPv1(elem!0) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | (~ssPv1(skf1(elem!0)))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[881, 457, 18, 16])).
% 1.52/1.72 tff(883,plain,
% 1.52/1.72 (~ssPv1(skf1(skf1(elem!0)))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[882, 873, 875, 872])).
% 1.52/1.72 tff(884,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(elem!0)) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(elem!0)) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(885,plain,
% 1.52/1.72 ((ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | (~ssPv2(elem!0))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(elem!0)) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(886,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | (~ssPv2(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(elem!0)) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0)))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[885])).
% 1.52/1.72 tff(887,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | (~ssPv2(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(elem!0)) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.52/1.72 inference(transitivity,[status(thm)],[886, 884])).
% 1.52/1.72 tff(888,plain,
% 1.52/1.72 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | (~ssPv2(elem!0)))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(889,plain,
% 1.52/1.72 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(elem!0)) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0)))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[888, 887])).
% 1.52/1.72 tff(890,plain,
% 1.52/1.72 (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(elem!0)) | (~ssPv3(elem!0))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[889, 226, 18, 16])).
% 1.52/1.72 tff(891,plain,
% 1.52/1.72 (~ssPv2(elem!0)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[890, 873, 883, 5])).
% 1.52/1.72 tff(892,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(893,plain,
% 1.52/1.72 ((ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv2(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(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(894,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv2(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] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0)))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[893])).
% 1.52/1.72 tff(895,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv2(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] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))))),
% 1.52/1.72 inference(transitivity,[status(thm)],[894, 892])).
% 1.52/1.72 tff(896,plain,
% 1.52/1.72 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(897,plain,
% 1.52/1.72 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0)))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[896, 895])).
% 1.52/1.72 tff(898,plain,
% 1.52/1.72 (ssPv3(skf1(skf1(elem!0))) | ssPv2(elem!0) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0)))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[897, 337, 18, 16])).
% 1.52/1.72 tff(899,plain,
% 1.52/1.72 (~ssPv2(skf1(skf1(elem!0)))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[898, 891, 875, 1])).
% 1.52/1.72 tff(900,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(901,plain,
% 1.52/1.72 ((ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(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(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(902,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(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) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0)))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[901])).
% 1.52/1.72 tff(903,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(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) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))))),
% 1.52/1.72 inference(transitivity,[status(thm)],[902, 900])).
% 1.52/1.72 tff(904,plain,
% 1.52/1.72 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(905,plain,
% 1.52/1.72 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(skf1(skf1(elem!0)))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[904, 903])).
% 1.52/1.72 tff(906,plain,
% 1.52/1.72 (ssPv3(skf1(skf1(elem!0))) | ssPv2(elem!0) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0)))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[905, 282, 18, 16])).
% 1.52/1.72 tff(907,plain,
% 1.52/1.72 ($false),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[906, 899, 891, 1, 874])).
% 1.52/1.72 tff(908,plain,(ssPv1(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.72 tff(909,plain,
% 1.52/1.72 (ssPv3(skf1(elem!0))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[908, 1, 853, 871, 5])).
% 1.52/1.72 tff(910,plain,
% 1.52/1.72 (ssPv3(elem!0)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[72, 1, 5, 871])).
% 1.52/1.72 tff(911,plain,
% 1.52/1.72 (~ssPv2(elem!0)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[890, 910, 5, 4])).
% 1.52/1.72 tff(912,plain,
% 1.52/1.72 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(913,plain,
% 1.52/1.72 ((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) | ssPv1(elem!0) | (~ssPv3(skf1(elem!0)))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(914,plain,
% 1.52/1.72 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | (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) | ssPv1(elem!0) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0)))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[913])).
% 1.52/1.72 tff(915,plain,
% 1.52/1.72 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | (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) | ssPv1(elem!0) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.52/1.72 inference(transitivity,[status(thm)],[914, 912])).
% 1.52/1.72 tff(916,plain,
% 1.52/1.72 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | (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) | ssPv1(elem!0) | (~ssPv3(skf1(elem!0))))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(917,plain,
% 1.52/1.72 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0)))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[916, 915])).
% 1.52/1.72 tff(918,plain,
% 1.52/1.72 (ssPv1(elem!0) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(elem!0)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[917, 300, 18, 16])).
% 1.52/1.72 tff(919,plain,
% 1.52/1.72 ($false),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[918, 911, 909, 871, 4])).
% 1.52/1.72 tff(920,plain,(ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.72 tff(921,plain,
% 1.52/1.72 (ssPv3(skf1(skf1(elem!0)))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[920, 4, 5])).
% 1.52/1.72 tff(922,plain,
% 1.52/1.72 (ssPv2(skf1(skf1(elem!0)))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[692, 630, 5, 4, 921])).
% 1.52/1.72 tff(923,plain,
% 1.52/1.72 (ssPv2(skf1(elem!0))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[147, 922, 5, 871])).
% 1.52/1.72 tff(924,plain,
% 1.52/1.72 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[396, 923, 5, 630])).
% 1.52/1.72 tff(925,plain,
% 1.52/1.72 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[710, 924, 921, 5, 630])).
% 1.52/1.72 tff(926,plain,
% 1.52/1.72 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[726, 925, 921, 4])).
% 1.52/1.72 tff(927,plain,
% 1.52/1.72 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[750, 925, 921, 926])).
% 1.52/1.72 tff(928,plain,
% 1.52/1.72 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[718, 922, 4, 630])).
% 1.52/1.72 tff(929,plain,
% 1.52/1.72 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[734, 926, 630, 925])).
% 1.52/1.72 tff(930,plain,
% 1.52/1.72 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[742, 929, 928, 925])).
% 1.52/1.72 tff(931,plain,
% 1.52/1.72 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[796, 927, 5, 921])).
% 1.52/1.72 tff(932,plain,
% 1.52/1.72 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[777, 931, 5, 4])).
% 1.52/1.72 tff(933,plain,
% 1.52/1.72 ($false),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[785, 932, 930, 928, 927])).
% 1.52/1.72 tff(934,plain,((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.72 tff(935,plain,
% 1.52/1.72 (~ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[934, 4, 5])).
% 1.52/1.72 tff(936,assumption,(ssPv4(skf1(elem!0))), introduced(assumption)).
% 1.52/1.72 tff(937,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(938,plain,
% 1.52/1.72 ((ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(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))))) | (~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)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(939,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(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))))) | (~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(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[938])).
% 1.52/1.72 tff(940,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(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))))) | (~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(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.72 inference(transitivity,[status(thm)],[939, 937])).
% 1.52/1.72 tff(941,plain,
% 1.52/1.72 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(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))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(elem!0))))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(942,plain,
% 1.52/1.72 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[941, 940])).
% 1.52/1.72 tff(943,plain,
% 1.52/1.72 (ssPv3(skf1(elem!0)) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[942, 514, 16, 150])).
% 1.52/1.72 tff(944,plain,
% 1.52/1.72 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[943, 936, 3, 7])).
% 1.52/1.72 tff(945,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(946,plain,
% 1.52/1.72 ((ssPv3(skf1(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)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(elem!0)))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(947,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(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)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[946])).
% 1.52/1.72 tff(948,plain,
% 1.52/1.72 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(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)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.72 inference(transitivity,[status(thm)],[947, 945])).
% 1.52/1.72 tff(949,plain,
% 1.52/1.72 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(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)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(elem!0))))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(950,plain,
% 1.52/1.72 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[949, 948])).
% 1.52/1.72 tff(951,plain,
% 1.52/1.72 (ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[950, 28, 16, 150])).
% 1.52/1.72 tff(952,plain,
% 1.52/1.72 ($false),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[951, 944, 936, 3, 4])).
% 1.52/1.73 tff(953,plain,((~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.73 tff(954,plain,
% 1.52/1.73 (~ssPv4(skf1(elem!0))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[953, 3, 4, 7])).
% 1.52/1.73 tff(955,plain,
% 1.52/1.73 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(956,plain,
% 1.52/1.73 (((~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0)))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(957,plain,
% 1.52/1.73 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.73 inference(monotonicity,[status(thm)],[956])).
% 1.52/1.73 tff(958,plain,
% 1.52/1.73 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(transitivity,[status(thm)],[957, 955])).
% 1.52/1.73 tff(959,plain,
% 1.52/1.73 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0))))),
% 1.52/1.73 inference(quant_inst,[status(thm)],[])).
% 1.52/1.73 tff(960,plain,
% 1.52/1.73 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv2(V)) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv1(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[959, 958])).
% 1.52/1.73 tff(961,plain,
% 1.52/1.73 (ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[960, 83, 16, 150])).
% 1.52/1.73 tff(962,plain,
% 1.52/1.73 (~ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[961, 954, 853, 4])).
% 1.52/1.73 tff(963,plain,
% 1.52/1.73 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(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) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(964,plain,
% 1.52/1.73 ((ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(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))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0)))) <=> (ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(965,plain,
% 1.52/1.73 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.73 inference(monotonicity,[status(thm)],[964])).
% 1.52/1.73 tff(966,plain,
% 1.52/1.73 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(transitivity,[status(thm)],[965, 963])).
% 1.52/1.73 tff(967,plain,
% 1.52/1.73 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))),
% 1.52/1.73 inference(quant_inst,[status(thm)],[])).
% 1.52/1.73 tff(968,plain,
% 1.52/1.73 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[967, 966])).
% 1.52/1.73 tff(969,plain,
% 1.52/1.73 (ssPv3(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[968, 437, 16, 150])).
% 1.52/1.73 tff(970,plain,
% 1.52/1.73 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[969, 962, 853, 7])).
% 1.52/1.73 tff(971,plain,
% 1.52/1.73 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[777, 970, 5, 4])).
% 1.52/1.73 tff(972,plain,
% 1.52/1.73 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(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))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(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))))))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(973,plain,
% 1.52/1.73 ((ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(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))))) | (~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)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(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))))))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(974,plain,
% 1.52/1.73 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(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))))) | (~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] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(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)))))))),
% 1.52/1.73 inference(monotonicity,[status(thm)],[973])).
% 1.52/1.73 tff(975,plain,
% 1.52/1.73 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(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))))) | (~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] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(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))))))),
% 1.52/1.73 inference(transitivity,[status(thm)],[974, 972])).
% 1.52/1.73 tff(976,plain,
% 1.52/1.73 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(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))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)))),
% 1.52/1.73 inference(quant_inst,[status(thm)],[])).
% 1.52/1.73 tff(977,plain,
% 1.52/1.73 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(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)))))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[976, 975])).
% 1.52/1.73 tff(978,plain,
% 1.52/1.73 (ssPv3(skf1(elem!0)) | ssPv4(skf1(elem!0)) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[977, 47, 16, 150])).
% 1.52/1.73 tff(979,plain,
% 1.52/1.73 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[978, 962, 7, 954])).
% 1.52/1.73 tff(980,plain,
% 1.52/1.73 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[704, 971, 5, 921])).
% 1.52/1.73 tff(981,plain,
% 1.52/1.73 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | ((~ssPv3(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(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(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (~ssPv3(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(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(982,plain,
% 1.52/1.73 ((ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | 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))))))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(983,plain,
% 1.52/1.73 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | ((~ssPv3(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(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.73 inference(monotonicity,[status(thm)],[982])).
% 1.52/1.73 tff(984,plain,
% 1.52/1.73 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (~ssPv3(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(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(transitivity,[status(thm)],[983, 981])).
% 1.52/1.73 tff(985,plain,
% 1.52/1.73 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(quant_inst,[status(thm)],[])).
% 1.52/1.73 tff(986,plain,
% 1.52/1.73 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (~ssPv3(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(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[985, 984])).
% 1.52/1.73 tff(987,plain,
% 1.52/1.73 ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[986, 408, 150, 419])).
% 1.52/1.73 tff(988,plain,
% 1.52/1.73 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[987, 979, 921, 3])).
% 1.52/1.73 tff(989,plain,
% 1.52/1.73 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[750, 980, 921, 979])).
% 1.52/1.73 tff(990,plain,
% 1.52/1.73 (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[785, 989, 988, 971])).
% 1.52/1.73 tff(991,plain,
% 1.52/1.73 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[742, 990, 988, 980])).
% 1.52/1.73 tff(992,plain,
% 1.52/1.73 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(993,plain,
% 1.52/1.73 ((ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))) <=> ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(994,plain,
% 1.52/1.73 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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)))))))))),
% 1.52/1.73 inference(monotonicity,[status(thm)],[993])).
% 1.52/1.73 tff(995,plain,
% 1.52/1.73 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))))),
% 1.52/1.73 inference(transitivity,[status(thm)],[994, 992])).
% 1.52/1.73 tff(996,plain,
% 1.52/1.73 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.73 inference(quant_inst,[status(thm)],[])).
% 1.52/1.73 tff(997,plain,
% 1.52/1.73 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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)))))))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[996, 995])).
% 1.52/1.73 tff(998,plain,
% 1.52/1.73 ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[997, 542, 419, 447])).
% 1.52/1.73 tff(999,plain,
% 1.52/1.73 (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[998, 991, 970, 962])).
% 1.52/1.73 tff(1000,plain,
% 1.52/1.73 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(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))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(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))))))))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(1001,plain,
% 1.52/1.73 ((ssPv3(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))))))) | 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))))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(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))))))))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(1002,plain,
% 1.52/1.73 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(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))))))) | 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))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(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)))))))))),
% 1.52/1.73 inference(monotonicity,[status(thm)],[1001])).
% 1.52/1.73 tff(1003,plain,
% 1.52/1.73 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(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))))))) | 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))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(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))))))))),
% 1.52/1.74 inference(transitivity,[status(thm)],[1002, 1000])).
% 1.52/1.74 tff(1004,plain,
% 1.52/1.74 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(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))))))) | 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))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(quant_inst,[status(thm)],[])).
% 1.52/1.74 tff(1005,plain,
% 1.52/1.74 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1004, 1003])).
% 1.52/1.74 tff(1006,plain,
% 1.52/1.74 ((~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1005, 28, 419, 447])).
% 1.52/1.74 tff(1007,plain,
% 1.52/1.74 ($false),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1006, 999, 991, 979, 971])).
% 1.52/1.74 tff(1008,plain,(ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.74 tff(1009,plain,
% 1.52/1.74 (ssPv3(skf1(elem!0))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1008, 935, 4, 5])).
% 1.52/1.74 tff(1010,plain,
% 1.52/1.74 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W))) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W))))),
% 1.52/1.74 inference(bind,[status(th)],[])).
% 1.52/1.74 tff(1011,plain,
% 1.52/1.74 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))),
% 1.52/1.74 inference(quant_intro,[status(thm)],[1010])).
% 1.52/1.74 tff(1012,plain,
% 1.52/1.74 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1013,plain,
% 1.52/1.74 (^[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))) | (~ssPv1(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))) | (~ssPv1(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))) | (~ssPv1(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | (~ssPv1(W)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv1(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | (~ssPv1(W))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv1(W))) | (~ssPv3(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | (~ssPv1(W))) | (~ssPv3(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | (~ssPv1(W))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv1(W))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv1(W))) | (~ssPv3(W))) | ssPv4(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W))) | ssPv4(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W))) | ssPv4(V)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv1(W))) | (~ssPv3(W))) | ssPv4(V)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))))),
% 1.52/1.74 inference(bind,[status(th)],[])).
% 1.52/1.74 tff(1014,plain,
% 1.52/1.74 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv1(W))) | (~ssPv3(W))) | ssPv4(V)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))),
% 1.52/1.74 inference(quant_intro,[status(thm)],[1013])).
% 1.52/1.74 tff(1015,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv1(W))) | (~ssPv3(W))) | ssPv4(V))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause20')).
% 1.52/1.74 tff(1016,plain,
% 1.52/1.74 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1015, 1014])).
% 1.52/1.74 tff(1017,plain,
% 1.52/1.74 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1016, 1012])).
% 1.52/1.74 tff(1018,plain,(
% 1.52/1.74 ![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))),
% 1.52/1.74 inference(skolemize,[status(sab)],[1017])).
% 1.52/1.74 tff(1019,plain,
% 1.52/1.74 (![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1018, 1011])).
% 1.52/1.74 tff(1020,plain,
% 1.52/1.74 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1021,plain,
% 1.52/1.74 ((ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0)))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1022,plain,
% 1.52/1.74 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.74 inference(monotonicity,[status(thm)],[1021])).
% 1.52/1.74 tff(1023,plain,
% 1.52/1.74 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(transitivity,[status(thm)],[1022, 1020])).
% 1.52/1.74 tff(1024,plain,
% 1.52/1.74 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))))),
% 1.52/1.74 inference(quant_inst,[status(thm)],[])).
% 1.52/1.74 tff(1025,plain,
% 1.52/1.74 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1024, 1023])).
% 1.52/1.74 tff(1026,plain,
% 1.52/1.74 ((~ssPv3(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1025, 1019, 16, 150])).
% 1.52/1.74 tff(1027,plain,
% 1.52/1.74 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1026, 1009, 853, 921])).
% 1.52/1.74 tff(1028,plain,
% 1.52/1.74 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[987, 1027, 921, 935])).
% 1.52/1.74 tff(1029,plain,
% 1.52/1.74 (((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1030,plain,
% 1.52/1.74 ((ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1031,plain,
% 1.52/1.74 (((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.74 inference(monotonicity,[status(thm)],[1030])).
% 1.52/1.74 tff(1032,plain,
% 1.52/1.74 (((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.74 inference(transitivity,[status(thm)],[1031, 1029])).
% 1.52/1.74 tff(1033,plain,
% 1.52/1.74 ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.74 inference(quant_inst,[status(thm)],[])).
% 1.52/1.74 tff(1034,plain,
% 1.52/1.74 ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1033, 1032])).
% 1.52/1.74 tff(1035,plain,
% 1.52/1.74 (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1034, 817, 150, 419])).
% 1.52/1.74 tff(1036,plain,
% 1.52/1.74 (ssPv2(skf1(skf1(elem!0)))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1035, 1028, 921, 4])).
% 1.52/1.74 tff(1037,plain,
% 1.52/1.74 (ssPv2(skf1(elem!0))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[147, 1036, 5, 871])).
% 1.52/1.74 tff(1038,plain,
% 1.52/1.74 (~ssPv4(skf1(elem!0))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[167, 1036, 935, 1037])).
% 1.52/1.74 tff(1039,plain,
% 1.52/1.74 (~ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[961, 1038, 853, 4])).
% 1.52/1.74 tff(1040,plain,
% 1.52/1.74 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1041,plain,
% 1.52/1.74 ((ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0)))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1042,plain,
% 1.52/1.74 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.74 inference(monotonicity,[status(thm)],[1041])).
% 1.52/1.74 tff(1043,plain,
% 1.52/1.74 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(transitivity,[status(thm)],[1042, 1040])).
% 1.52/1.74 tff(1044,plain,
% 1.52/1.74 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))))),
% 1.52/1.74 inference(quant_inst,[status(thm)],[])).
% 1.52/1.74 tff(1045,plain,
% 1.52/1.74 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1044, 1043])).
% 1.52/1.74 tff(1046,plain,
% 1.52/1.74 ((~ssPv3(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1045, 121, 16, 150])).
% 1.52/1.74 tff(1047,plain,
% 1.52/1.74 ($false),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1046, 1039, 1038, 4, 1009])).
% 1.52/1.74 tff(1048,plain,(ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.74 tff(1049,plain,
% 1.52/1.74 (ssPv1(skf1(skf1(elem!0)))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1048, 5])).
% 1.52/1.74 tff(1050,plain,
% 1.52/1.74 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl((ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) <=> (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))))),
% 1.52/1.74 inference(bind,[status(th)],[])).
% 1.52/1.74 tff(1051,plain,
% 1.52/1.74 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.52/1.74 inference(quant_intro,[status(thm)],[1050])).
% 1.52/1.74 tff(1052,plain,
% 1.52/1.74 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1053,plain,
% 1.52/1.74 (^[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)) | (~ssPv1(V))) <=> ((~ssPv1(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> (((~ssPv1(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv1(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> ((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) <=> (((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(Z, X1))))), rewrite((((~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(Z, X1))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) <=> (((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv2(W))) <=> (((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(W))))), rewrite((((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(W))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))), (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv2(W))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))))), ((((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv2(W))) | ssPv4(Y)) <=> (((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) | ssPv4(Y)))), rewrite((((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))), ((((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv2(W))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))))), (((((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv2(W))) | ssPv4(Y)) | ssPv3(X1)) <=> ((ssPv4(Y) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) | ssPv3(X1)))), rewrite(((ssPv4(Y) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) | ssPv3(X1)) <=> (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))), (((((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv2(W))) | ssPv4(Y)) | ssPv3(X1)) <=> (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))))),
% 1.52/1.74 inference(bind,[status(th)],[])).
% 1.52/1.74 tff(1054,plain,
% 1.52/1.74 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv2(W))) | ssPv4(Y)) | ssPv3(X1)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.52/1.74 inference(quant_intro,[status(thm)],[1053])).
% 1.52/1.74 tff(1055,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | (~ssPv2(W))) | ssPv4(Y)) | ssPv3(X1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause51')).
% 1.52/1.74 tff(1056,plain,
% 1.52/1.74 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1055, 1054])).
% 1.52/1.74 tff(1057,plain,
% 1.52/1.74 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1056, 1052])).
% 1.52/1.74 tff(1058,plain,(
% 1.52/1.74 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.52/1.74 inference(skolemize,[status(sab)],[1057])).
% 1.52/1.74 tff(1059,plain,
% 1.52/1.74 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1058, 1051])).
% 1.52/1.74 tff(1060,plain,
% 1.52/1.74 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1061,plain,
% 1.52/1.74 ((ssPv4(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)))) | (~ssPv1(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))) <=> (ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1062,plain,
% 1.52/1.74 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv4(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)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(elem!0)) | (~ssRr(elem!0, skf1(elem!0)))))),
% 1.52/1.74 inference(monotonicity,[status(thm)],[1061])).
% 1.52/1.74 tff(1063,plain,
% 1.52/1.74 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv4(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)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(elem!0)) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.52/1.74 inference(transitivity,[status(thm)],[1062, 1060])).
% 1.52/1.74 tff(1064,plain,
% 1.52/1.74 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv4(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)))) | (~ssPv1(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)))),
% 1.52/1.74 inference(quant_inst,[status(thm)],[])).
% 1.52/1.74 tff(1065,plain,
% 1.52/1.74 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(elem!0)) | (~ssRr(elem!0, skf1(elem!0)))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[1064, 1063])).
% 1.52/1.74 tff(1066,plain,
% 1.52/1.74 (ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(elem!0))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1065, 1059, 18, 16])).
% 1.52/1.74 tff(1067,plain,
% 1.52/1.74 (~ssPv2(elem!0)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1066, 1, 1049, 5])).
% 1.52/1.74 tff(1068,plain,
% 1.52/1.74 (~ssPv2(skf1(skf1(elem!0)))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[898, 1067, 853, 1])).
% 1.52/1.74 tff(1069,plain,
% 1.52/1.74 (ssPv4(skf1(elem!0))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[906, 1068, 1067, 1])).
% 1.52/1.74 tff(1070,plain,
% 1.52/1.74 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1071,plain,
% 1.52/1.74 ((ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0)))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(1072,plain,
% 1.52/1.74 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~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] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.75 inference(monotonicity,[status(thm)],[1071])).
% 1.52/1.75 tff(1073,plain,
% 1.52/1.75 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~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] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.52/1.75 inference(transitivity,[status(thm)],[1072, 1070])).
% 1.52/1.75 tff(1074,plain,
% 1.52/1.75 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(1075,plain,
% 1.52/1.75 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1074, 1073])).
% 1.52/1.75 tff(1076,plain,
% 1.52/1.75 (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1075, 675, 16, 150])).
% 1.52/1.75 tff(1077,plain,
% 1.52/1.75 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1076, 1069, 5, 1049])).
% 1.52/1.75 tff(1078,plain,
% 1.52/1.75 (^[W: $i, V: $i, U: $i] : refl((ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V))) <=> (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V))))),
% 1.52/1.75 inference(bind,[status(th)],[])).
% 1.52/1.75 tff(1079,plain,
% 1.52/1.75 (![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))),
% 1.52/1.75 inference(quant_intro,[status(thm)],[1078])).
% 1.52/1.75 tff(1080,plain,
% 1.52/1.75 (![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(1081,plain,
% 1.52/1.75 (^[W: $i, V: $i, U: $i] : 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))) <=> ((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | ssPv2(W)) <=> (((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V))) | ssPv2(W)))), rewrite((((~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V))) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | ssPv2(W)) | ssPv3(W)) <=> ((ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V))) | ssPv3(W)))), rewrite(((ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V))) | ssPv3(W)) <=> (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | ssPv2(W)) | ssPv3(W)) <=> (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | ssPv2(W)) | ssPv3(W)) | ssPv4(W)) <=> ((ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V))) | ssPv4(W)))), rewrite(((ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V))) | ssPv4(W)) <=> (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | ssPv2(W)) | ssPv3(W)) | ssPv4(W)) <=> (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))))),
% 1.52/1.75 inference(bind,[status(th)],[])).
% 1.52/1.75 tff(1082,plain,
% 1.52/1.75 (![W: $i, V: $i, U: $i] : ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | ssPv2(W)) | ssPv3(W)) | ssPv4(W)) <=> ![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))),
% 1.52/1.75 inference(quant_intro,[status(thm)],[1081])).
% 1.52/1.75 tff(1083,axiom,(![W: $i, V: $i, U: $i] : ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | ssPv2(W)) | ssPv3(W)) | ssPv4(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause2')).
% 1.52/1.75 tff(1084,plain,
% 1.52/1.75 (![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1083, 1082])).
% 1.52/1.75 tff(1085,plain,
% 1.52/1.75 (![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1084, 1080])).
% 1.52/1.75 tff(1086,plain,(
% 1.52/1.75 ![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))),
% 1.52/1.75 inference(skolemize,[status(sab)],[1085])).
% 1.52/1.75 tff(1087,plain,
% 1.52/1.75 (![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1086, 1079])).
% 1.52/1.75 tff(1088,plain,
% 1.52/1.75 (((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(1089,plain,
% 1.52/1.75 ((ssPv4(skf1(skf1(elem!0))) | ssPv3(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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(1090,plain,
% 1.52/1.75 (((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv3(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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.75 inference(monotonicity,[status(thm)],[1089])).
% 1.52/1.75 tff(1091,plain,
% 1.52/1.75 (((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv3(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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.75 inference(transitivity,[status(thm)],[1090, 1088])).
% 1.52/1.75 tff(1092,plain,
% 1.52/1.75 ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv3(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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(1093,plain,
% 1.52/1.75 ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1092, 1091])).
% 1.52/1.75 tff(1094,plain,
% 1.52/1.75 (ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1093, 1087, 150, 419])).
% 1.52/1.75 tff(1095,plain,
% 1.52/1.75 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1094, 1068, 5, 1])).
% 1.52/1.75 tff(1096,plain,
% 1.52/1.75 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[489, 1095, 5, 1])).
% 1.52/1.75 tff(1097,plain,
% 1.52/1.75 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | 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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | 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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(1098,plain,
% 1.52/1.75 ((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(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0)))) <=> ((~ssPv1(skf1(skf1(elem!0)))) | ssPv2(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)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(1099,plain,
% 1.52/1.75 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))) | (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(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | 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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.75 inference(monotonicity,[status(thm)],[1098])).
% 1.52/1.75 tff(1100,plain,
% 1.52/1.75 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))) | (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(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | 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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.75 inference(transitivity,[status(thm)],[1099, 1097])).
% 1.52/1.75 tff(1101,plain,
% 1.52/1.75 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | ssPv2(W))) | (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(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(1102,plain,
% 1.52/1.75 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | 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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1101, 1100])).
% 1.52/1.75 tff(1103,plain,
% 1.52/1.75 ((~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1102, 542, 150, 419])).
% 1.52/1.75 tff(1104,plain,
% 1.52/1.75 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1103, 1095, 1049, 1068])).
% 1.52/1.75 tff(1105,plain,
% 1.52/1.75 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(1106,plain,
% 1.52/1.75 ((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)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(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(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))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(1107,plain,
% 1.52/1.75 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (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)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(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] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.75 inference(monotonicity,[status(thm)],[1106])).
% 1.52/1.75 tff(1108,plain,
% 1.52/1.75 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (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)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(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] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.75 inference(transitivity,[status(thm)],[1107, 1105])).
% 1.52/1.75 tff(1109,plain,
% 1.52/1.75 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (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)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(1110,plain,
% 1.52/1.75 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv2(V)) | ssPv2(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1109, 1108])).
% 1.52/1.75 tff(1111,plain,
% 1.52/1.75 (ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1110, 337, 150, 419])).
% 1.52/1.75 tff(1112,plain,
% 1.52/1.75 ($false),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1111, 1104, 1096, 1077, 1068])).
% 1.52/1.75 tff(1113,plain,(ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.75 tff(1114,plain,
% 1.52/1.75 (ssPv3(skf1(skf1(elem!0)))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1113, 5])).
% 1.52/1.75 tff(1115,plain,
% 1.52/1.75 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[799, 1114, 5, 1049])).
% 1.52/1.75 tff(1116,plain,
% 1.52/1.75 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X))) <=> (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X))))),
% 1.52/1.75 inference(bind,[status(th)],[])).
% 1.52/1.75 tff(1117,plain,
% 1.52/1.75 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))),
% 1.52/1.75 inference(quant_intro,[status(thm)],[1116])).
% 1.52/1.75 tff(1118,plain,
% 1.52/1.75 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(1119,plain,
% 1.52/1.75 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv1(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X))) | (~ssPv1(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X))) | (~ssPv1(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv1(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv1(W))) | ssPv3(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X))) | ssPv3(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X))) | ssPv3(V)) <=> (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv1(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv4(W)) <=> ((ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X))) | ssPv4(W)))), rewrite(((ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X))) | ssPv4(W)) <=> (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv4(W)) <=> (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))))),
% 1.52/1.75 inference(bind,[status(th)],[])).
% 1.52/1.75 tff(1120,plain,
% 1.52/1.75 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv4(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))),
% 1.52/1.75 inference(quant_intro,[status(thm)],[1119])).
% 1.52/1.75 tff(1121,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv4(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause16')).
% 1.52/1.75 tff(1122,plain,
% 1.52/1.75 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1121, 1120])).
% 1.52/1.75 tff(1123,plain,
% 1.52/1.75 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1122, 1118])).
% 1.52/1.75 tff(1124,plain,(
% 1.52/1.75 ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))),
% 1.52/1.75 inference(skolemize,[status(sab)],[1123])).
% 1.52/1.75 tff(1125,plain,
% 1.52/1.75 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1124, 1117])).
% 1.52/1.75 tff(1126,plain,
% 1.52/1.75 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(1127,plain,
% 1.52/1.75 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(1128,plain,
% 1.52/1.75 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.75 inference(monotonicity,[status(thm)],[1127])).
% 1.52/1.75 tff(1129,plain,
% 1.52/1.75 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.75 inference(transitivity,[status(thm)],[1128, 1126])).
% 1.52/1.75 tff(1130,plain,
% 1.52/1.75 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(1131,plain,
% 1.52/1.75 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[1130, 1129])).
% 1.52/1.75 tff(1132,plain,
% 1.52/1.75 (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1131, 1125, 150, 419])).
% 1.52/1.75 tff(1133,plain,
% 1.52/1.75 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1132, 1115, 5, 1049])).
% 1.52/1.75 tff(1134,plain,
% 1.52/1.75 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W))) <=> ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W))))),
% 1.52/1.75 inference(bind,[status(th)],[])).
% 1.52/1.75 tff(1135,plain,
% 1.52/1.75 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))),
% 1.52/1.75 inference(quant_intro,[status(thm)],[1134])).
% 1.52/1.75 tff(1136,plain,
% 1.52/1.75 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(1137,plain,
% 1.52/1.75 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssPv3(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) <=> (((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Y))))), rewrite((((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Y))) <=> ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) <=> ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) <=> (((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> (((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))))), rewrite((((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))) <=> ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv3(W))) <=> (((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | (~ssPv3(W))))), rewrite((((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W))) | (~ssPv3(W))) <=> ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv3(W))) <=> ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))))),
% 1.52/1.75 inference(bind,[status(th)],[])).
% 1.52/1.75 tff(1138,plain,
% 1.52/1.75 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv3(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))),
% 1.52/1.76 inference(quant_intro,[status(thm)],[1137])).
% 1.52/1.76 tff(1139,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv3(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause38')).
% 1.52/1.76 tff(1140,plain,
% 1.52/1.76 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[1139, 1138])).
% 1.52/1.76 tff(1141,plain,
% 1.52/1.76 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[1140, 1136])).
% 1.52/1.76 tff(1142,plain,(
% 1.52/1.76 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))),
% 1.52/1.76 inference(skolemize,[status(sab)],[1141])).
% 1.52/1.76 tff(1143,plain,
% 1.52/1.76 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[1142, 1135])).
% 1.52/1.76 tff(1144,plain,
% 1.52/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))) | ((~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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))) | (~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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(1145,plain,
% 1.52/1.76 (((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(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))))) <=> ((~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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(1146,plain,
% 1.52/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(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)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))) | ((~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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.76 inference(monotonicity,[status(thm)],[1145])).
% 1.52/1.76 tff(1147,plain,
% 1.52/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(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)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))) | (~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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.76 inference(transitivity,[status(thm)],[1146, 1144])).
% 1.52/1.76 tff(1148,plain,
% 1.52/1.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(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)))))),
% 1.52/1.76 inference(quant_inst,[status(thm)],[])).
% 1.52/1.76 tff(1149,plain,
% 1.52/1.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))) | (~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)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[1148, 1147])).
% 1.52/1.76 tff(1150,plain,
% 1.52/1.76 ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[1149, 1143, 150, 419])).
% 1.52/1.76 tff(1151,plain,
% 1.52/1.76 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[1150, 1133, 1049, 1114])).
% 1.52/1.76 tff(1152,plain,
% 1.52/1.76 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[704, 1151, 5, 1114])).
% 1.52/1.76 tff(1153,plain,
% 1.52/1.76 (ssPv2(skf1(skf1(elem!0)))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[628, 1152, 5, 1114])).
% 1.52/1.76 tff(1154,plain,
% 1.52/1.76 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(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, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(1155,plain,
% 1.52/1.76 ((ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0))))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(1156,plain,
% 1.52/1.76 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.76 inference(monotonicity,[status(thm)],[1155])).
% 1.52/1.76 tff(1157,plain,
% 1.52/1.76 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.76 inference(transitivity,[status(thm)],[1156, 1154])).
% 1.52/1.76 tff(1158,plain,
% 1.52/1.76 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.52/1.76 inference(quant_inst,[status(thm)],[])).
% 1.52/1.76 tff(1159,plain,
% 1.52/1.76 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[1158, 1157])).
% 1.52/1.76 tff(1160,plain,
% 1.52/1.76 ((~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[1159, 1125, 16, 150])).
% 1.52/1.76 tff(1161,plain,
% 1.52/1.76 (ssPv4(skf1(elem!0))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[1160, 3, 853, 1049])).
% 1.52/1.76 tff(1162,plain,
% 1.52/1.76 (~ssPv2(skf1(elem!0))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[167, 1161, 1153, 3])).
% 1.52/1.76 tff(1163,plain,
% 1.52/1.76 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[289, 1162, 3, 5])).
% 1.52/1.76 tff(1164,plain,
% 1.52/1.76 ($false),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[344, 1163, 1162, 3, 1049])).
% 1.52/1.76 tff(1165,plain,(ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.76 tff(1166,plain,
% 1.52/1.76 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[1165, 5])).
% 1.52/1.76 tff(1167,plain,
% 1.52/1.76 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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(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] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(1168,plain,
% 1.52/1.76 ((ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(1169,plain,
% 1.52/1.76 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.52/1.76 inference(monotonicity,[status(thm)],[1168])).
% 1.52/1.76 tff(1170,plain,
% 1.52/1.76 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(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(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.52/1.76 inference(transitivity,[status(thm)],[1169, 1167])).
% 1.52/1.76 tff(1171,plain,
% 1.52/1.76 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.76 inference(quant_inst,[status(thm)],[])).
% 1.52/1.76 tff(1172,plain,
% 1.52/1.76 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[1171, 1170])).
% 1.52/1.76 tff(1173,plain,
% 1.52/1.76 ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[1172, 1019, 419, 447])).
% 1.52/1.76 tff(1174,plain,
% 1.52/1.76 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[1173, 1166, 1115, 1133])).
% 1.52/1.76 tff(1175,plain,
% 1.52/1.76 (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[567, 1174, 1166, 1152])).
% 1.52/1.76 tff(1176,plain,
% 1.52/1.76 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[842, 1175, 1151, 1166])).
% 1.52/1.76 tff(1177,plain,
% 1.52/1.76 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[742, 1174, 1133, 1152])).
% 1.52/1.76 tff(1178,plain,
% 1.52/1.76 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[785, 1177, 1133, 1151])).
% 1.52/1.76 tff(1179,plain,
% 1.52/1.76 ($false),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[750, 1178, 1176, 1114, 1152])).
% 1.52/1.76 tff(1180,plain,(ssPv4(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.76 tff(1181,assumption,(ssPv4(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.52/1.76 tff(1182,plain,
% 1.52/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv3(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(1183,plain,
% 1.52/1.76 ((ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv3(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))) <=> (ssPv3(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(1184,plain,
% 1.52/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv3(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(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv4(skf1(skf1(elem!0))))))),
% 1.52/1.76 inference(monotonicity,[status(thm)],[1183])).
% 1.52/1.76 tff(1185,plain,
% 1.52/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv3(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(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv3(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.52/1.76 inference(transitivity,[status(thm)],[1184, 1182])).
% 1.52/1.76 tff(1186,plain,
% 1.52/1.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv3(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)))),
% 1.52/1.76 inference(quant_inst,[status(thm)],[])).
% 1.52/1.76 tff(1187,plain,
% 1.52/1.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv3(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv4(skf1(skf1(elem!0))))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[1186, 1185])).
% 1.52/1.76 tff(1188,plain,
% 1.52/1.76 (ssPv3(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv4(skf1(skf1(elem!0))))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[1187, 514, 18, 16])).
% 1.52/1.76 tff(1189,plain,
% 1.52/1.76 (~ssPv4(elem!0)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[1188, 37, 1181, 1])).
% 1.52/1.76 tff(1190,plain,
% 1.52/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv4(elem!0) | ssPv3(elem!0) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ssPv4(elem!0) | ssPv3(elem!0) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(1191,plain,
% 1.52/1.76 ((ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv3(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)) <=> (ssPv4(elem!0) | ssPv3(elem!0) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(1192,plain,
% 1.52/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(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)))) | ssPv3(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] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv4(elem!0) | ssPv3(elem!0) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0))))))),
% 1.52/1.76 inference(monotonicity,[status(thm)],[1191])).
% 1.52/1.76 tff(1193,plain,
% 1.52/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(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)))) | ssPv3(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] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ssPv4(elem!0) | ssPv3(elem!0) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.52/1.76 inference(transitivity,[status(thm)],[1192, 1190])).
% 1.52/1.76 tff(1194,plain,
% 1.52/1.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(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)))) | ssPv3(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))),
% 1.52/1.76 inference(quant_inst,[status(thm)],[])).
% 1.52/1.76 tff(1195,plain,
% 1.52/1.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ssPv4(elem!0) | ssPv3(elem!0) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0))))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[1194, 1193])).
% 1.52/1.76 tff(1196,plain,
% 1.52/1.76 (ssPv4(elem!0) | ssPv3(elem!0) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0))))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[1195, 206, 18, 16])).
% 1.52/1.76 tff(1197,plain,
% 1.52/1.76 ($false),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[1196, 1189, 37, 1181, 4])).
% 1.52/1.76 tff(1198,plain,(ssPv3(elem!0) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.76 tff(1199,plain,
% 1.52/1.76 (ssPv3(elem!0) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0)))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[1198, 1180])).
% 1.52/1.76 tff(1200,plain,
% 1.52/1.76 (ssPv3(elem!0)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[1199, 1, 4])).
% 1.52/1.76 tff(1201,plain,
% 1.52/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(1202,plain,
% 1.52/1.76 ((ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> (ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(1203,plain,
% 1.52/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.52/1.76 inference(monotonicity,[status(thm)],[1202])).
% 1.52/1.76 tff(1204,plain,
% 1.52/1.76 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.52/1.76 inference(transitivity,[status(thm)],[1203, 1201])).
% 1.52/1.76 tff(1205,plain,
% 1.52/1.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.52/1.76 inference(quant_inst,[status(thm)],[])).
% 1.52/1.76 tff(1206,plain,
% 1.52/1.76 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv3(V) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[1205, 1204])).
% 1.52/1.76 tff(1207,plain,
% 1.52/1.76 (ssPv3(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[1206, 408, 16, 150])).
% 1.52/1.76 tff(1208,plain,
% 1.52/1.76 (ssPv3(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[1207, 1180])).
% 1.52/1.76 tff(1209,plain,
% 1.52/1.76 (~ssPv3(skf1(elem!0))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[1208, 3, 1])).
% 1.52/1.76 tff(1210,plain,
% 1.52/1.76 (~ssPv4(skf1(elem!0))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[953, 1209, 4, 3])).
% 1.52/1.76 tff(1211,plain,
% 1.52/1.76 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv4(skf1(elem!0)) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv4(skf1(elem!0)) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(1212,plain,
% 1.52/1.76 (((~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | ssPv1(elem!0) | ssPv4(skf1(elem!0))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv4(skf1(elem!0)) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(1213,plain,
% 1.52/1.76 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | ssPv1(elem!0) | ssPv4(skf1(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv4(skf1(elem!0)) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0))))))),
% 1.52/1.76 inference(monotonicity,[status(thm)],[1212])).
% 1.52/1.76 tff(1214,plain,
% 1.52/1.76 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | ssPv1(elem!0) | ssPv4(skf1(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv4(skf1(elem!0)) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.52/1.77 inference(transitivity,[status(thm)],[1213, 1211])).
% 1.52/1.77 tff(1215,plain,
% 1.52/1.77 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | ssPv1(elem!0) | ssPv4(skf1(elem!0)))),
% 1.52/1.77 inference(quant_inst,[status(thm)],[])).
% 1.52/1.77 tff(1216,plain,
% 1.52/1.77 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | ssPv4(X))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv4(skf1(elem!0)) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0))))),
% 1.52/1.77 inference(modus_ponens,[status(thm)],[1215, 1214])).
% 1.52/1.77 tff(1217,plain,
% 1.52/1.77 (ssPv1(elem!0) | ssPv4(skf1(elem!0)) | (~ssPv3(elem!0)) | (~ssPv4(skf1(skf1(elem!0))))),
% 1.52/1.77 inference(unit_resolution,[status(thm)],[1216, 244, 18, 16])).
% 1.52/1.77 tff(1218,plain,
% 1.52/1.77 (ssPv1(elem!0) | ssPv4(skf1(elem!0)) | (~ssPv3(elem!0))),
% 1.52/1.77 inference(unit_resolution,[status(thm)],[1217, 1180])).
% 1.52/1.77 tff(1219,plain,
% 1.52/1.77 (ssPv1(elem!0)),
% 1.52/1.77 inference(unit_resolution,[status(thm)],[1218, 1210, 1200])).
% 1.52/1.77 tff(1220,assumption,(ssPv3(elem!0)), introduced(assumption)).
% 1.52/1.77 tff(1221,plain,
% 1.52/1.77 (ssPv4(elem!0)),
% 1.52/1.77 inference(unit_resolution,[status(thm)],[128, 611, 6, 1220])).
% 1.52/1.77 tff(1222,plain,
% 1.52/1.77 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) <=> (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))),
% 1.52/1.77 inference(bind,[status(th)],[])).
% 1.52/1.77 tff(1223,plain,
% 1.52/1.77 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.52/1.77 inference(quant_intro,[status(thm)],[1222])).
% 1.52/1.77 tff(1224,plain,
% 1.52/1.77 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.52/1.77 inference(rewrite,[status(thm)],[])).
% 1.52/1.77 tff(1225,plain,
% 1.52/1.77 (^[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(W))) <=> (((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(W))))), rewrite((((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(W))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(W))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(W))) | ssPv2(Y)) <=> (((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv2(Y)))), rewrite((((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv2(Y)) <=> (ssPv2(Y) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(W))) | ssPv2(Y)) <=> (ssPv2(Y) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))), ((((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(W))) | ssPv2(Y)) | ssPv3(Z)) <=> ((ssPv2(Y) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv3(Z)))), rewrite(((ssPv2(Y) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv3(Z)) <=> (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), ((((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(W))) | ssPv2(Y)) | ssPv3(Z)) <=> (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))))),
% 1.52/1.77 inference(bind,[status(th)],[])).
% 1.52/1.77 tff(1226,plain,
% 1.52/1.77 (![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(W))) | ssPv2(Y)) | ssPv3(Z)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.52/1.77 inference(quant_intro,[status(thm)],[1225])).
% 1.52/1.77 tff(1227,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(W))) | ssPv2(Y)) | ssPv3(Z))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause43')).
% 1.52/1.77 tff(1228,plain,
% 1.52/1.77 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.52/1.77 inference(modus_ponens,[status(thm)],[1227, 1226])).
% 1.52/1.77 tff(1229,plain,
% 1.52/1.77 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.52/1.77 inference(modus_ponens,[status(thm)],[1228, 1224])).
% 1.52/1.77 tff(1230,plain,(
% 1.52/1.77 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.52/1.77 inference(skolemize,[status(sab)],[1229])).
% 1.52/1.77 tff(1231,plain,
% 1.52/1.77 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.52/1.77 inference(modus_ponens,[status(thm)],[1230, 1223])).
% 1.52/1.77 tff(1232,plain,
% 1.52/1.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv4(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)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.52/1.77 inference(rewrite,[status(thm)],[])).
% 1.52/1.77 tff(1233,plain,
% 1.52/1.77 ((ssPv2(skf1(skf1(elem!0))) | ssPv3(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)))) | (~ssPv4(elem!0))) <=> (ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.52/1.77 inference(rewrite,[status(thm)],[])).
% 1.52/1.77 tff(1234,plain,
% 1.52/1.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~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)))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0)))))),
% 1.52/1.77 inference(monotonicity,[status(thm)],[1233])).
% 1.52/1.77 tff(1235,plain,
% 1.52/1.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~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)))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.61/1.77 inference(transitivity,[status(thm)],[1234, 1232])).
% 1.61/1.77 tff(1236,plain,
% 1.61/1.77 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~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)))) | (~ssPv4(elem!0)))),
% 1.61/1.77 inference(quant_inst,[status(thm)],[])).
% 1.61/1.77 tff(1237,plain,
% 1.61/1.77 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0)))),
% 1.61/1.77 inference(modus_ponens,[status(thm)],[1236, 1235])).
% 1.61/1.77 tff(1238,plain,
% 1.61/1.77 (ssPv3(skf1(elem!0)) | (~ssPv4(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0)))),
% 1.61/1.77 inference(unit_resolution,[status(thm)],[1237, 1231, 18, 16])).
% 1.61/1.77 tff(1239,plain,
% 1.61/1.77 ($false),
% 1.61/1.77 inference(unit_resolution,[status(thm)],[1238, 1221, 611, 1181, 7])).
% 1.61/1.77 tff(1240,plain,(ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssPv3(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.61/1.77 tff(1241,plain,
% 1.61/1.77 (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssPv3(elem!0))),
% 1.61/1.77 inference(unit_resolution,[status(thm)],[1240, 1180])).
% 1.61/1.77 tff(1242,plain,
% 1.61/1.77 (ssPv2(skf1(skf1(elem!0)))),
% 1.61/1.77 inference(unit_resolution,[status(thm)],[1241, 6, 1209, 1200])).
% 1.61/1.77 tff(1243,plain,
% 1.61/1.77 (((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.77 inference(rewrite,[status(thm)],[])).
% 1.61/1.77 tff(1244,plain,
% 1.61/1.77 (((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.77 inference(rewrite,[status(thm)],[])).
% 1.61/1.77 tff(1245,plain,
% 1.61/1.77 (((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | ((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.77 inference(monotonicity,[status(thm)],[1244])).
% 1.61/1.77 tff(1246,plain,
% 1.61/1.77 (((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | ((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.77 inference(transitivity,[status(thm)],[1245, 1243])).
% 1.61/1.77 tff(1247,plain,
% 1.61/1.77 ((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | ((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.77 inference(quant_inst,[status(thm)],[])).
% 1.61/1.77 tff(1248,plain,
% 1.61/1.77 ((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.77 inference(modus_ponens,[status(thm)],[1247, 1246])).
% 1.61/1.77 tff(1249,plain,
% 1.61/1.77 (ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.77 inference(unit_resolution,[status(thm)],[1248, 761, 150, 419])).
% 1.61/1.77 tff(1250,plain,
% 1.61/1.77 (ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.77 inference(unit_resolution,[status(thm)],[1249, 1180])).
% 1.61/1.77 tff(1251,plain,
% 1.61/1.77 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.61/1.77 inference(unit_resolution,[status(thm)],[1250, 1242, 4])).
% 1.61/1.77 tff(1252,plain,
% 1.61/1.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | 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)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | 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)))))))),
% 1.61/1.77 inference(rewrite,[status(thm)],[])).
% 1.61/1.77 tff(1253,plain,
% 1.61/1.77 ((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)))))) | (~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)))))) | (~ssPv4(skf1(skf1(elem!0))))) <=> ((~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | 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)))))))),
% 1.61/1.77 inference(rewrite,[status(thm)],[])).
% 1.61/1.77 tff(1254,plain,
% 1.61/1.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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)))))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | 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))))))))),
% 1.61/1.77 inference(monotonicity,[status(thm)],[1253])).
% 1.61/1.77 tff(1255,plain,
% 1.61/1.77 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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)))))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | 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)))))))),
% 1.61/1.77 inference(transitivity,[status(thm)],[1254, 1252])).
% 1.61/1.77 tff(1256,plain,
% 1.61/1.77 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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)))))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.61/1.77 inference(quant_inst,[status(thm)],[])).
% 1.61/1.77 tff(1257,plain,
% 1.61/1.77 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | 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))))))),
% 1.61/1.77 inference(modus_ponens,[status(thm)],[1256, 1255])).
% 1.61/1.77 tff(1258,plain,
% 1.61/1.77 ((~ssPv4(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.77 inference(unit_resolution,[status(thm)],[1257, 1231, 150, 419])).
% 1.61/1.77 tff(1259,plain,
% 1.61/1.77 (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.77 inference(unit_resolution,[status(thm)],[1258, 1180])).
% 1.61/1.77 tff(1260,plain,
% 1.61/1.77 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.61/1.77 inference(unit_resolution,[status(thm)],[1259, 1251, 3])).
% 1.61/1.77 tff(1261,plain,
% 1.61/1.77 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (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)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | 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)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.77 inference(rewrite,[status(thm)],[])).
% 1.61/1.77 tff(1262,plain,
% 1.61/1.77 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(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))))))) <=> (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)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.77 inference(rewrite,[status(thm)],[])).
% 1.61/1.77 tff(1263,plain,
% 1.61/1.77 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(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(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (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)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.77 inference(monotonicity,[status(thm)],[1262])).
% 1.61/1.77 tff(1264,plain,
% 1.61/1.77 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(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(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | 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)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.77 inference(transitivity,[status(thm)],[1263, 1261])).
% 1.61/1.77 tff(1265,plain,
% 1.61/1.77 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(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)))))))),
% 1.61/1.77 inference(quant_inst,[status(thm)],[])).
% 1.61/1.77 tff(1266,plain,
% 1.61/1.77 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv4(V) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | 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)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.61/1.77 inference(modus_ponens,[status(thm)],[1265, 1264])).
% 1.61/1.77 tff(1267,plain,
% 1.61/1.77 (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.61/1.77 inference(unit_resolution,[status(thm)],[1266, 65, 150, 419])).
% 1.61/1.77 tff(1268,plain,
% 1.61/1.77 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.61/1.77 inference(unit_resolution,[status(thm)],[1267, 1260, 4, 1])).
% 1.61/1.77 tff(1269,plain,
% 1.61/1.77 (((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv3(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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssPv3(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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.61/1.77 inference(rewrite,[status(thm)],[])).
% 1.61/1.77 tff(1270,plain,
% 1.61/1.77 ((ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~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(elem!0))))))) <=> ((~ssPv3(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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.61/1.77 inference(rewrite,[status(thm)],[])).
% 1.61/1.77 tff(1271,plain,
% 1.61/1.77 (((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~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(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv3(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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.61/1.77 inference(monotonicity,[status(thm)],[1270])).
% 1.61/1.77 tff(1272,plain,
% 1.61/1.77 (((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~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(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssPv3(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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.61/1.78 inference(transitivity,[status(thm)],[1271, 1269])).
% 1.61/1.78 tff(1273,plain,
% 1.61/1.78 ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~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(elem!0)))))))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(1274,plain,
% 1.61/1.78 ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssPv3(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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[1273, 1272])).
% 1.61/1.78 tff(1275,plain,
% 1.61/1.78 ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1274, 621, 447, 504])).
% 1.61/1.78 tff(1276,plain,
% 1.61/1.78 (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1275, 1268, 1251, 1260])).
% 1.61/1.78 tff(1277,plain,
% 1.61/1.78 (((~![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)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(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(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] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(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(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(1278,plain,
% 1.61/1.78 ((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))))))) <=> (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(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(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(1279,plain,
% 1.61/1.78 (((~![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)))) | (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)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(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(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.61/1.78 inference(monotonicity,[status(thm)],[1278])).
% 1.61/1.78 tff(1280,plain,
% 1.61/1.78 (((~![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)))) | (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)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(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(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.61/1.78 inference(transitivity,[status(thm)],[1279, 1277])).
% 1.61/1.78 tff(1281,plain,
% 1.61/1.78 ((~![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)))) | (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)))))))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(1282,plain,
% 1.61/1.78 ((~![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)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(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(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[1281, 1280])).
% 1.61/1.78 tff(1283,plain,
% 1.61/1.78 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1282, 103, 447, 504])).
% 1.61/1.78 tff(1284,plain,
% 1.61/1.78 (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1283, 1268, 1260, 1276])).
% 1.61/1.78 tff(1285,plain,
% 1.61/1.78 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ((~ssPv1(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))))))) | (~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] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (~ssPv1(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))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(1286,plain,
% 1.61/1.78 ((ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv1(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))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(1287,plain,
% 1.61/1.78 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ((~ssPv1(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))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.61/1.78 inference(monotonicity,[status(thm)],[1286])).
% 1.61/1.78 tff(1288,plain,
% 1.61/1.78 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (~ssPv1(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))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.61/1.78 inference(transitivity,[status(thm)],[1287, 1285])).
% 1.61/1.78 tff(1289,plain,
% 1.61/1.78 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(1290,plain,
% 1.61/1.78 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (~ssPv1(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))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[1289, 1288])).
% 1.61/1.78 tff(1291,plain,
% 1.61/1.78 ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1290, 648, 447, 504])).
% 1.61/1.78 tff(1292,plain,
% 1.61/1.78 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1291, 1284, 1260, 1276])).
% 1.61/1.78 tff(1293,plain,
% 1.61/1.78 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[215, 6, 3, 1210, 1209])).
% 1.61/1.78 tff(1294,plain,
% 1.61/1.78 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(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))))))) | 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)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(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))))))) | 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)))))))))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(1295,plain,
% 1.61/1.78 ((ssPv2(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(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(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))))))) | 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)))))))))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(1296,plain,
% 1.61/1.78 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (ssPv2(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(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(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))))))) | 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))))))))))),
% 1.61/1.78 inference(monotonicity,[status(thm)],[1295])).
% 1.61/1.78 tff(1297,plain,
% 1.61/1.78 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (ssPv2(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(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(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))))))) | 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)))))))))),
% 1.61/1.78 inference(transitivity,[status(thm)],[1296, 1294])).
% 1.61/1.78 tff(1298,plain,
% 1.61/1.78 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (ssPv2(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(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(1299,plain,
% 1.61/1.78 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(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))))))) | 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))))))))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[1298, 1297])).
% 1.61/1.78 tff(1300,plain,
% 1.61/1.78 ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1299, 121, 447, 504])).
% 1.61/1.78 tff(1301,plain,
% 1.61/1.78 (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1300, 1292, 1268, 1260])).
% 1.61/1.78 tff(1302,plain,
% 1.61/1.78 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), 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))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), 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))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(1303,plain,
% 1.61/1.78 ((ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), 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))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(1304,plain,
% 1.61/1.78 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), 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))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.78 inference(monotonicity,[status(thm)],[1303])).
% 1.61/1.78 tff(1305,plain,
% 1.61/1.78 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), 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))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.61/1.78 inference(transitivity,[status(thm)],[1304, 1302])).
% 1.61/1.78 tff(1306,plain,
% 1.61/1.78 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(1307,plain,
% 1.61/1.78 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv2(V) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), 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))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[1306, 1305])).
% 1.61/1.78 tff(1308,plain,
% 1.61/1.78 ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1307, 437, 419, 447])).
% 1.61/1.78 tff(1309,plain,
% 1.61/1.78 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1308, 1292, 3, 1293])).
% 1.61/1.78 tff(1310,assumption,(ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))), introduced(assumption)).
% 1.61/1.78 tff(1311,assumption,(~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))), introduced(assumption)).
% 1.61/1.78 tff(1312,assumption,(ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))), introduced(assumption)).
% 1.61/1.78 tff(1313,assumption,(ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))), introduced(assumption)).
% 1.61/1.78 tff(1314,plain,
% 1.61/1.78 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(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)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(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)))))))))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(1315,plain,
% 1.61/1.78 ((ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(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(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(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)))))))))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(1316,plain,
% 1.61/1.78 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(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))))))))))),
% 1.61/1.78 inference(monotonicity,[status(thm)],[1315])).
% 1.61/1.78 tff(1317,plain,
% 1.61/1.78 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(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)))))))))),
% 1.61/1.78 inference(transitivity,[status(thm)],[1316, 1314])).
% 1.61/1.78 tff(1318,plain,
% 1.61/1.78 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(1319,plain,
% 1.61/1.79 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(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))))))))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[1318, 1317])).
% 1.61/1.79 tff(1320,plain,
% 1.61/1.79 (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[1319, 160, 504, 570])).
% 1.61/1.79 tff(1321,plain,
% 1.61/1.79 (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[1320, 1313, 1312, 1310])).
% 1.61/1.79 tff(1322,plain,
% 1.61/1.79 (((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(1323,plain,
% 1.61/1.79 (((~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~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(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(1324,plain,
% 1.61/1.79 (((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(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)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.63/1.79 inference(monotonicity,[status(thm)],[1323])).
% 1.63/1.79 tff(1325,plain,
% 1.63/1.79 (((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(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)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.63/1.79 inference(transitivity,[status(thm)],[1324, 1322])).
% 1.63/1.79 tff(1326,plain,
% 1.63/1.79 ((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(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)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.63/1.79 inference(quant_inst,[status(thm)],[])).
% 1.63/1.79 tff(1327,plain,
% 1.63/1.79 ((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.79 inference(modus_ponens,[status(thm)],[1326, 1325])).
% 1.63/1.79 tff(1328,plain,
% 1.63/1.79 (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1327, 761, 504, 570])).
% 1.63/1.79 tff(1329,plain,
% 1.63/1.79 (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1328, 1313, 499, 1310])).
% 1.63/1.79 tff(1330,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(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] : (ssPv2(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.63/1.79 inference(rewrite,[status(thm)],[])).
% 1.63/1.79 tff(1331,plain,
% 1.63/1.79 ((ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(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)))))))) <=> (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.63/1.79 inference(rewrite,[status(thm)],[])).
% 1.63/1.79 tff(1332,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(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(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))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.63/1.79 inference(monotonicity,[status(thm)],[1331])).
% 1.63/1.79 tff(1333,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(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(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))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.63/1.79 inference(transitivity,[status(thm)],[1332, 1330])).
% 1.63/1.79 tff(1334,plain,
% 1.63/1.79 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(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(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))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.79 inference(quant_inst,[status(thm)],[])).
% 1.63/1.79 tff(1335,plain,
% 1.63/1.79 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.79 inference(modus_ponens,[status(thm)],[1334, 1333])).
% 1.63/1.79 tff(1336,plain,
% 1.63/1.79 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1335, 389, 504, 570])).
% 1.63/1.79 tff(1337,plain,
% 1.63/1.79 ($false),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1336, 1329, 1321, 1311, 1310])).
% 1.63/1.79 tff(1338,plain,((~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.79 tff(1339,plain,
% 1.63/1.79 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1338, 1276, 1309, 1292, 1301])).
% 1.63/1.79 tff(1340,plain,
% 1.63/1.79 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[195, 6, 3, 1209])).
% 1.63/1.79 tff(1341,plain,
% 1.63/1.79 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[682, 1292, 1340, 1260])).
% 1.63/1.79 tff(1342,plain,
% 1.63/1.79 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1006, 1339, 1340, 1341])).
% 1.63/1.79 tff(1343,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, 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)))))) | 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))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, 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)))))) | 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))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.79 inference(rewrite,[status(thm)],[])).
% 1.63/1.79 tff(1344,plain,
% 1.63/1.79 ((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(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(elem!0)))))) <=> ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(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))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.79 inference(rewrite,[status(thm)],[])).
% 1.63/1.79 tff(1345,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (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(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(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, 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)))))) | 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))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.63/1.79 inference(monotonicity,[status(thm)],[1344])).
% 1.63/1.79 tff(1346,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (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(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(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, 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)))))) | 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))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.79 inference(transitivity,[status(thm)],[1345, 1343])).
% 1.63/1.79 tff(1347,plain,
% 1.63/1.79 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (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(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(elem!0))))))),
% 1.63/1.79 inference(quant_inst,[status(thm)],[])).
% 1.63/1.79 tff(1348,plain,
% 1.63/1.79 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.79 inference(modus_ponens,[status(thm)],[1347, 1346])).
% 1.63/1.79 tff(1349,plain,
% 1.63/1.79 ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1348, 355, 419, 447])).
% 1.63/1.79 tff(1350,plain,
% 1.63/1.79 ($false),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1349, 1342, 1339, 1293, 1292])).
% 1.63/1.79 tff(1351,plain,(ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.79 tff(1352,plain,
% 1.63/1.79 (ssPv1(skf1(elem!0))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1351, 3, 4, 1])).
% 1.63/1.79 tff(1353,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv1(skf1(elem!0))))),
% 1.63/1.79 inference(rewrite,[status(thm)],[])).
% 1.63/1.79 tff(1354,plain,
% 1.63/1.79 ((ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv1(skf1(elem!0))))),
% 1.63/1.79 inference(rewrite,[status(thm)],[])).
% 1.63/1.79 tff(1355,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv1(skf1(elem!0)))))),
% 1.63/1.79 inference(monotonicity,[status(thm)],[1354])).
% 1.63/1.79 tff(1356,plain,
% 1.63/1.79 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv1(skf1(elem!0))))),
% 1.63/1.79 inference(transitivity,[status(thm)],[1355, 1353])).
% 1.63/1.79 tff(1357,plain,
% 1.63/1.79 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)))),
% 1.63/1.79 inference(quant_inst,[status(thm)],[])).
% 1.63/1.79 tff(1358,plain,
% 1.63/1.79 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)) | (~ssPv1(skf1(elem!0)))),
% 1.63/1.79 inference(modus_ponens,[status(thm)],[1357, 1356])).
% 1.63/1.79 tff(1359,plain,
% 1.63/1.79 (ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssPv4(elem!0)) | (~ssPv1(skf1(elem!0)))),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1358, 675, 18, 16])).
% 1.63/1.79 tff(1360,plain,
% 1.63/1.79 (~ssPv4(elem!0)),
% 1.63/1.79 inference(unit_resolution,[status(thm)],[1359, 1352, 4, 1210])).
% 1.63/1.79 tff(1361,plain,
% 1.63/1.79 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))))),
% 1.63/1.79 inference(rewrite,[status(thm)],[])).
% 1.63/1.79 tff(1362,plain,
% 1.63/1.79 ((ssPv3(skf1(skf1(elem!0))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv1(skf1(elem!0)))) <=> (ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))))),
% 1.63/1.79 inference(rewrite,[status(thm)],[])).
% 1.63/1.79 tff(1363,plain,
% 1.63/1.79 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0)))))),
% 1.63/1.79 inference(monotonicity,[status(thm)],[1362])).
% 1.63/1.79 tff(1364,plain,
% 1.63/1.79 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))))),
% 1.63/1.79 inference(transitivity,[status(thm)],[1363, 1361])).
% 1.63/1.79 tff(1365,plain,
% 1.63/1.79 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv1(skf1(elem!0))))),
% 1.63/1.80 inference(quant_inst,[status(thm)],[])).
% 1.63/1.80 tff(1366,plain,
% 1.63/1.80 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0)))),
% 1.63/1.80 inference(modus_ponens,[status(thm)],[1365, 1364])).
% 1.63/1.80 tff(1367,plain,
% 1.63/1.80 (ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssPv1(skf1(elem!0)))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1366, 1125, 18, 16])).
% 1.63/1.80 tff(1368,plain,
% 1.63/1.80 ($false),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1367, 1360, 1352, 1219, 1])).
% 1.63/1.80 tff(1369,plain,(ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.80 tff(1370,plain,
% 1.63/1.80 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1369, 1, 4])).
% 1.63/1.80 tff(1371,plain,
% 1.63/1.80 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[637, 611, 1370, 4])).
% 1.63/1.80 tff(1372,plain,
% 1.63/1.80 (((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1373,plain,
% 1.63/1.80 ((ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1374,plain,
% 1.63/1.80 (((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.80 inference(monotonicity,[status(thm)],[1373])).
% 1.63/1.80 tff(1375,plain,
% 1.63/1.80 (((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(transitivity,[status(thm)],[1374, 1372])).
% 1.63/1.80 tff(1376,plain,
% 1.63/1.80 ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(quant_inst,[status(thm)],[])).
% 1.63/1.80 tff(1377,plain,
% 1.63/1.80 ((~![W: $i, V: $i, U: $i] : (ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(V)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(modus_ponens,[status(thm)],[1376, 1375])).
% 1.63/1.80 tff(1378,plain,
% 1.63/1.80 (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1377, 318, 150, 419])).
% 1.63/1.80 tff(1379,plain,
% 1.63/1.80 ($false),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1378, 1371, 611, 4, 1])).
% 1.63/1.80 tff(1380,plain,(ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.80 tff(1381,plain,
% 1.63/1.80 (ssPv2(skf1(skf1(elem!0)))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1380, 1, 4])).
% 1.63/1.80 tff(1382,plain,
% 1.63/1.80 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1383,plain,
% 1.63/1.80 (((~ssPv2(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)))) | (~ssPv3(elem!0))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1384,plain,
% 1.63/1.80 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv2(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)))) | (~ssPv3(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(monotonicity,[status(thm)],[1383])).
% 1.63/1.80 tff(1385,plain,
% 1.63/1.80 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv2(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)))) | (~ssPv3(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.63/1.80 inference(transitivity,[status(thm)],[1384, 1382])).
% 1.63/1.80 tff(1386,plain,
% 1.63/1.80 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv2(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)))) | (~ssPv3(elem!0)))),
% 1.63/1.80 inference(quant_inst,[status(thm)],[])).
% 1.63/1.80 tff(1387,plain,
% 1.63/1.80 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0))))),
% 1.63/1.80 inference(modus_ponens,[status(thm)],[1386, 1385])).
% 1.63/1.80 tff(1388,plain,
% 1.63/1.80 ((~ssPv4(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1387, 560, 18, 16])).
% 1.63/1.80 tff(1389,plain,
% 1.63/1.80 ((~ssPv4(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssPv2(skf1(skf1(elem!0))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1388, 1180])).
% 1.63/1.80 tff(1390,plain,
% 1.63/1.80 (~ssPv4(skf1(elem!0))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1389, 1381, 1200])).
% 1.63/1.80 tff(1391,plain,
% 1.63/1.80 (ssPv1(elem!0)),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1218, 1390, 1200])).
% 1.63/1.80 tff(1392,assumption,(ssPv1(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.63/1.80 tff(1393,assumption,(ssPv2(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.63/1.80 tff(1394,plain,
% 1.63/1.80 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[718, 1393, 4, 630])).
% 1.63/1.80 tff(1395,plain,
% 1.63/1.80 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1173, 1394, 630, 1392])).
% 1.63/1.80 tff(1396,plain,
% 1.63/1.80 (^[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)) | (~ssPv4(W))) <=> ((~ssPv3(Y)) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))),
% 1.63/1.80 inference(bind,[status(th)],[])).
% 1.63/1.80 tff(1397,plain,
% 1.63/1.80 (![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)) | (~ssPv4(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)) | (~ssPv4(W)))),
% 1.63/1.80 inference(quant_intro,[status(thm)],[1396])).
% 1.63/1.80 tff(1398,plain,
% 1.63/1.80 (![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)) | (~ssPv4(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)) | (~ssPv4(W)))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1399,plain,
% 1.63/1.80 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~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))) | (~ssPv3(Y))) <=> (((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(Y))))), rewrite((((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(Y))) <=> ((~ssPv3(Y)) | (~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) <=> ((~ssPv3(Y)) | (~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) <=> (((~ssPv3(Y)) | (~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv3(Y)) | (~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~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))) | (~ssPv3(Y))) | (~ssRr(W, X))) <=> ((~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))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssPv4(W))) <=> (((~ssPv3(Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(W))))), rewrite((((~ssPv3(Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(W))) <=> ((~ssPv3(Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssPv4(W))) <=> ((~ssPv3(Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssPv4(W))) | ssPv1(W)) <=> (((~ssPv3(Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv1(W)))), rewrite((((~ssPv3(Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv1(W)) <=> ((~ssPv3(Y)) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssPv4(W))) | ssPv1(W)) <=> ((~ssPv3(Y)) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))))),
% 1.63/1.80 inference(bind,[status(th)],[])).
% 1.63/1.80 tff(1400,plain,
% 1.63/1.80 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssPv4(W))) | ssPv1(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)) | (~ssPv4(W)))),
% 1.63/1.80 inference(quant_intro,[status(thm)],[1399])).
% 1.63/1.80 tff(1401,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssPv4(W))) | ssPv1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause36')).
% 1.63/1.80 tff(1402,plain,
% 1.63/1.80 (![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)) | (~ssPv4(W)))),
% 1.63/1.80 inference(modus_ponens,[status(thm)],[1401, 1400])).
% 1.63/1.80 tff(1403,plain,
% 1.63/1.80 (![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)) | (~ssPv4(W)))),
% 1.63/1.80 inference(modus_ponens,[status(thm)],[1402, 1398])).
% 1.63/1.80 tff(1404,plain,(
% 1.63/1.80 ![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)) | (~ssPv4(W)))),
% 1.63/1.80 inference(skolemize,[status(sab)],[1403])).
% 1.63/1.80 tff(1405,plain,
% 1.63/1.80 (![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)) | (~ssPv4(W)))),
% 1.63/1.80 inference(modus_ponens,[status(thm)],[1404, 1397])).
% 1.63/1.80 tff(1406,plain,
% 1.63/1.80 (((~![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)) | (~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(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(Y)) | (~ssPv4(V)) | 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))))) | (~ssPv3(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)))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1407,plain,
% 1.63/1.80 (((~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)))))) | (~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(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1408,plain,
% 1.63/1.80 (((~![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)) | (~ssPv4(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)))))) | (~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)) | (~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(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.80 inference(monotonicity,[status(thm)],[1407])).
% 1.63/1.80 tff(1409,plain,
% 1.63/1.80 (((~![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)) | (~ssPv4(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)))))) | (~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)) | (~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(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(transitivity,[status(thm)],[1408, 1406])).
% 1.63/1.80 tff(1410,plain,
% 1.63/1.80 ((~![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)) | (~ssPv4(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)))))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.63/1.80 inference(quant_inst,[status(thm)],[])).
% 1.63/1.80 tff(1411,plain,
% 1.63/1.80 ((~![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)) | (~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(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(modus_ponens,[status(thm)],[1410, 1409])).
% 1.63/1.80 tff(1412,plain,
% 1.63/1.80 (ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1411, 1405, 150, 419])).
% 1.63/1.80 tff(1413,plain,
% 1.63/1.80 (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1412, 1180])).
% 1.63/1.80 tff(1414,plain,
% 1.63/1.80 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1413, 1394, 4])).
% 1.63/1.80 tff(1415,plain,
% 1.63/1.80 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1250, 1393, 4])).
% 1.63/1.80 tff(1416,plain,
% 1.63/1.80 (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1275, 1394, 1415, 1414])).
% 1.63/1.80 tff(1417,plain,
% 1.63/1.80 (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1283, 1394, 1414, 1416])).
% 1.63/1.80 tff(1418,plain,
% 1.63/1.80 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1291, 1417, 1414, 1416])).
% 1.63/1.80 tff(1419,plain,
% 1.63/1.80 (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1300, 1418, 1394, 1414])).
% 1.63/1.80 tff(1420,plain,
% 1.63/1.80 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[481, 1415, 1393, 1394])).
% 1.63/1.80 tff(1421,plain,
% 1.63/1.80 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[682, 1418, 1420, 1414])).
% 1.63/1.80 tff(1422,plain,
% 1.63/1.80 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv4(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))))))) | ssPv2(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)))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv4(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))))))) | ssPv2(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)))))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1423,plain,
% 1.63/1.80 ((ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~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)))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) <=> (ssPv4(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))))))) | ssPv2(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)))))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1424,plain,
% 1.63/1.80 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~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)))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv4(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))))))) | ssPv2(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))))))))))),
% 1.63/1.80 inference(monotonicity,[status(thm)],[1423])).
% 1.63/1.80 tff(1425,plain,
% 1.63/1.80 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~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)))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv4(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))))))) | ssPv2(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)))))))))),
% 1.63/1.80 inference(transitivity,[status(thm)],[1424, 1422])).
% 1.63/1.80 tff(1426,plain,
% 1.63/1.80 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~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)))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(quant_inst,[status(thm)],[])).
% 1.63/1.80 tff(1427,plain,
% 1.63/1.80 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv2(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.80 inference(modus_ponens,[status(thm)],[1426, 1425])).
% 1.63/1.80 tff(1428,plain,
% 1.63/1.80 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1427, 140, 447, 504])).
% 1.63/1.80 tff(1429,plain,
% 1.63/1.80 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1428, 1419, 1416, 1421])).
% 1.63/1.80 tff(1430,plain,
% 1.63/1.80 ($false),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1338, 1429, 1419, 1416, 1418, 1395])).
% 1.63/1.80 tff(1431,plain,((~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.80 tff(1432,plain,
% 1.63/1.80 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1431, 1381, 1370, 4])).
% 1.63/1.80 tff(1433,plain,
% 1.63/1.80 (ssPv2(skf1(skf1(elem!0)))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1241, 7, 6, 1200])).
% 1.63/1.80 tff(1434,plain,
% 1.63/1.80 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[718, 1433, 4, 1370])).
% 1.63/1.80 tff(1435,plain,
% 1.63/1.80 (~ssPv4(skf1(elem!0))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[415, 7, 1, 1200])).
% 1.63/1.80 tff(1436,plain,
% 1.63/1.80 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[213, 1435, 187, 7])).
% 1.63/1.80 tff(1437,plain,
% 1.63/1.80 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1250, 1433, 4])).
% 1.63/1.80 tff(1438,plain,
% 1.63/1.80 ($false),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[481, 1437, 1436, 1433, 1434])).
% 1.63/1.80 tff(1439,plain,(ssPv3(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.80 tff(1440,plain,
% 1.63/1.80 (ssPv3(skf1(elem!0))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[1439, 187, 4, 6, 1])).
% 1.63/1.80 tff(1441,plain,
% 1.63/1.80 (ssPv2(skf1(elem!0))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[824, 1440, 6, 1370])).
% 1.63/1.80 tff(1442,plain,
% 1.63/1.80 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.63/1.80 inference(unit_resolution,[status(thm)],[233, 1441, 187, 1440])).
% 1.63/1.80 tff(1443,plain,
% 1.63/1.80 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(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)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1444,plain,
% 1.63/1.80 (((~ssPv2(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))))) | (~ssPv3(skf1(elem!0)))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(rewrite,[status(thm)],[])).
% 1.63/1.80 tff(1445,plain,
% 1.63/1.80 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv2(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))))) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.80 inference(monotonicity,[status(thm)],[1444])).
% 1.63/1.80 tff(1446,plain,
% 1.63/1.80 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv2(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))))) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.63/1.80 inference(transitivity,[status(thm)],[1445, 1443])).
% 1.63/1.81 tff(1447,plain,
% 1.63/1.81 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv2(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))))) | (~ssPv3(skf1(elem!0))))),
% 1.63/1.81 inference(quant_inst,[status(thm)],[])).
% 1.63/1.81 tff(1448,plain,
% 1.63/1.81 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(modus_ponens,[status(thm)],[1447, 1446])).
% 1.63/1.81 tff(1449,plain,
% 1.63/1.81 ((~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1448, 560, 16, 150])).
% 1.63/1.81 tff(1450,plain,
% 1.63/1.81 ((~ssPv3(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1449, 1180])).
% 1.63/1.81 tff(1451,plain,
% 1.63/1.81 (~ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1450, 1442, 1440])).
% 1.63/1.81 tff(1452,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)) | (~ssPv4(W)))) | (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)) | (~ssPv4(W)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1453,plain,
% 1.63/1.81 (((~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))))) | (~ssPv4(skf1(elem!0)))) <=> (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1454,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)) | (~ssPv4(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))))) | (~ssPv4(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)) | (~ssPv4(W)))) | (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.81 inference(monotonicity,[status(thm)],[1453])).
% 1.63/1.81 tff(1455,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)) | (~ssPv4(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))))) | (~ssPv4(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)) | (~ssPv4(W)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(transitivity,[status(thm)],[1454, 1452])).
% 1.63/1.81 tff(1456,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)) | (~ssPv4(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))))) | (~ssPv4(skf1(elem!0))))),
% 1.63/1.81 inference(quant_inst,[status(thm)],[])).
% 1.63/1.81 tff(1457,plain,
% 1.63/1.81 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(Y)) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(modus_ponens,[status(thm)],[1456, 1455])).
% 1.63/1.81 tff(1458,plain,
% 1.63/1.81 (ssPv1(skf1(elem!0)) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1457, 1405, 16, 150])).
% 1.63/1.81 tff(1459,plain,
% 1.63/1.81 (~ssPv4(skf1(elem!0))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1458, 1442, 6, 1370])).
% 1.63/1.81 tff(1460,plain,
% 1.63/1.81 ($false),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1046, 1459, 1451, 4, 1440])).
% 1.63/1.81 tff(1461,plain,(ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.81 tff(1462,plain,
% 1.63/1.81 (ssPv1(skf1(elem!0))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1461, 1432, 4, 1])).
% 1.63/1.81 tff(1463,plain,
% 1.63/1.81 (~ssPv4(elem!0)),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1359, 1462, 4, 1390])).
% 1.63/1.81 tff(1464,plain,
% 1.63/1.81 ($false),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1367, 1463, 1462, 1391, 1])).
% 1.63/1.81 tff(1465,plain,(ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.81 tff(1466,plain,
% 1.63/1.81 (ssPv3(skf1(skf1(elem!0)))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1465, 4])).
% 1.63/1.81 tff(1467,plain,
% 1.63/1.81 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1035, 611, 4, 1466])).
% 1.63/1.81 tff(1468,plain,
% 1.63/1.81 (((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1469,plain,
% 1.63/1.81 ((ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0))))) <=> (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1470,plain,
% 1.63/1.81 (((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.81 inference(monotonicity,[status(thm)],[1469])).
% 1.63/1.81 tff(1471,plain,
% 1.63/1.81 (((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.81 inference(transitivity,[status(thm)],[1470, 1468])).
% 1.63/1.81 tff(1472,plain,
% 1.63/1.81 ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(quant_inst,[status(thm)],[])).
% 1.63/1.81 tff(1473,plain,
% 1.63/1.81 ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(modus_ponens,[status(thm)],[1472, 1471])).
% 1.63/1.81 tff(1474,plain,
% 1.63/1.81 (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1473, 580, 150, 419])).
% 1.63/1.81 tff(1475,plain,
% 1.63/1.81 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1474, 611, 1466, 4])).
% 1.63/1.81 tff(1476,plain,
% 1.63/1.81 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1477,plain,
% 1.63/1.81 ((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)))))) | 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)))))) | (~ssPv4(skf1(skf1(elem!0))))) <=> ((~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1478,plain,
% 1.63/1.81 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (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)))))) | 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)))))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.81 inference(monotonicity,[status(thm)],[1477])).
% 1.63/1.81 tff(1479,plain,
% 1.63/1.81 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (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)))))) | 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)))))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(transitivity,[status(thm)],[1478, 1476])).
% 1.63/1.81 tff(1480,plain,
% 1.63/1.81 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (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)))))) | 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)))))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(quant_inst,[status(thm)],[])).
% 1.63/1.81 tff(1481,plain,
% 1.63/1.81 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(Z) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(modus_ponens,[status(thm)],[1480, 1479])).
% 1.63/1.81 tff(1482,plain,
% 1.63/1.81 ((~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1481, 28, 150, 419])).
% 1.63/1.81 tff(1483,plain,
% 1.63/1.81 (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1482, 1180])).
% 1.63/1.81 tff(1484,plain,
% 1.63/1.81 ($false),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1483, 1475, 1467, 187])).
% 1.63/1.81 tff(1485,plain,(ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.81 tff(1486,plain,
% 1.63/1.81 (ssPv2(skf1(skf1(elem!0)))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1485, 187, 4])).
% 1.63/1.81 tff(1487,plain,
% 1.63/1.81 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1250, 1486, 4])).
% 1.63/1.81 tff(1488,plain,
% 1.63/1.81 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1259, 1487, 3])).
% 1.63/1.81 tff(1489,plain,
% 1.63/1.81 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1490,plain,
% 1.63/1.81 ((ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1491,plain,
% 1.63/1.81 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.81 inference(monotonicity,[status(thm)],[1490])).
% 1.63/1.81 tff(1492,plain,
% 1.63/1.81 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(transitivity,[status(thm)],[1491, 1489])).
% 1.63/1.81 tff(1493,plain,
% 1.63/1.81 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(quant_inst,[status(thm)],[])).
% 1.63/1.81 tff(1494,plain,
% 1.63/1.81 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(modus_ponens,[status(thm)],[1493, 1492])).
% 1.63/1.81 tff(1495,plain,
% 1.63/1.81 ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1494, 598, 150, 419])).
% 1.63/1.81 tff(1496,plain,
% 1.63/1.81 ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1495, 1180])).
% 1.63/1.81 tff(1497,plain,
% 1.63/1.81 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1496, 1488, 1466])).
% 1.63/1.81 tff(1498,plain,
% 1.63/1.81 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1483, 1488, 187])).
% 1.63/1.81 tff(1499,plain,
% 1.63/1.81 ($false),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[481, 1498, 1497, 1486, 1487])).
% 1.63/1.81 tff(1500,plain,(ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.63/1.81 tff(1501,plain,
% 1.63/1.81 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1500, 3, 4])).
% 1.63/1.81 tff(1502,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) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1503,plain,
% 1.63/1.81 (((~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))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.81 inference(rewrite,[status(thm)],[])).
% 1.63/1.81 tff(1504,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) | (~ssPv1(X)) | (~ssPv1(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))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(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) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.63/1.81 inference(monotonicity,[status(thm)],[1503])).
% 1.63/1.81 tff(1505,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) | (~ssPv1(X)) | (~ssPv1(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))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(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) | (~ssPv1(X)) | (~ssPv1(V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.81 inference(transitivity,[status(thm)],[1504, 1502])).
% 1.63/1.81 tff(1506,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) | (~ssPv1(X)) | (~ssPv1(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))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.63/1.81 inference(quant_inst,[status(thm)],[])).
% 1.63/1.81 tff(1507,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) | (~ssPv1(X)) | (~ssPv1(V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(modus_ponens,[status(thm)],[1506, 1505])).
% 1.63/1.81 tff(1508,plain,
% 1.63/1.81 (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1507, 457, 150, 419])).
% 1.63/1.81 tff(1509,plain,
% 1.63/1.81 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.63/1.81 inference(unit_resolution,[status(thm)],[1508, 1501, 4, 1466])).
% 1.63/1.81 tff(1510,plain,
% 1.63/1.81 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.81 inference(rewrite,[status(thm)],[])).
% 1.65/1.81 tff(1511,plain,
% 1.65/1.81 ((ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~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)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.81 inference(rewrite,[status(thm)],[])).
% 1.65/1.81 tff(1512,plain,
% 1.65/1.81 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~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] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.65/1.81 inference(monotonicity,[status(thm)],[1511])).
% 1.65/1.81 tff(1513,plain,
% 1.65/1.81 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~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] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.81 inference(transitivity,[status(thm)],[1512, 1510])).
% 1.65/1.81 tff(1514,plain,
% 1.65/1.81 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~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)))))),
% 1.65/1.81 inference(quant_inst,[status(thm)],[])).
% 1.65/1.81 tff(1515,plain,
% 1.65/1.81 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[1514, 1513])).
% 1.65/1.82 tff(1516,plain,
% 1.65/1.82 ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1515, 675, 150, 419])).
% 1.65/1.82 tff(1517,plain,
% 1.65/1.82 ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1516, 1180])).
% 1.65/1.82 tff(1518,plain,
% 1.65/1.82 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1517, 1509, 1501])).
% 1.65/1.82 tff(1519,plain,
% 1.65/1.82 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1496, 1518, 1466])).
% 1.65/1.82 tff(1520,plain,
% 1.65/1.82 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[987, 1518, 1466, 3])).
% 1.65/1.82 tff(1521,plain,
% 1.65/1.82 ($false),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1413, 1520, 1519, 4])).
% 1.65/1.82 tff(1522,plain,(ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.82 tff(1523,plain,
% 1.65/1.82 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1522, 4])).
% 1.65/1.82 tff(1524,plain,
% 1.65/1.82 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[718, 1393, 4, 1523])).
% 1.65/1.82 tff(1525,plain,
% 1.65/1.82 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1413, 1524, 4])).
% 1.65/1.82 tff(1526,plain,
% 1.65/1.82 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[481, 1524, 1393, 1415])).
% 1.65/1.82 tff(1527,plain,
% 1.65/1.82 ($false),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1496, 1526, 1525, 1466])).
% 1.65/1.82 tff(1528,plain,((~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.82 tff(1529,plain,
% 1.65/1.82 (~ssPv2(skf1(skf1(elem!0)))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1528, 4])).
% 1.65/1.82 tff(1530,plain,
% 1.65/1.82 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1485, 1529, 4])).
% 1.65/1.82 tff(1531,plain,
% 1.65/1.82 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[637, 1529, 1523, 4])).
% 1.65/1.82 tff(1532,plain,
% 1.65/1.82 ($false),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1508, 1531, 1530, 4, 1466])).
% 1.65/1.82 tff(1533,plain,(ssPv1(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.82 tff(1534,plain,
% 1.65/1.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(1535,plain,
% 1.65/1.82 ((ssPv1(skf1(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)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0)))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(1536,plain,
% 1.65/1.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(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)))) | (~ssPv1(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] : (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.65/1.82 inference(monotonicity,[status(thm)],[1535])).
% 1.65/1.82 tff(1537,plain,
% 1.65/1.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(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)))) | (~ssPv1(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] : (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.65/1.82 inference(transitivity,[status(thm)],[1536, 1534])).
% 1.65/1.82 tff(1538,plain,
% 1.65/1.82 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(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)))) | (~ssPv1(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))))),
% 1.65/1.82 inference(quant_inst,[status(thm)],[])).
% 1.65/1.82 tff(1539,plain,
% 1.65/1.82 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[1538, 1537])).
% 1.65/1.82 tff(1540,plain,
% 1.65/1.82 ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1539, 863, 16, 150])).
% 1.65/1.82 tff(1541,plain,
% 1.65/1.82 (~ssPv1(skf1(elem!0))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1540, 2, 1533, 187])).
% 1.65/1.82 tff(1542,plain,
% 1.65/1.82 ($false),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[195, 1541, 2, 3, 7])).
% 1.65/1.82 tff(1543,plain,(ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.82 tff(1544,plain,
% 1.65/1.82 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1543, 187, 7, 3])).
% 1.65/1.82 tff(1545,plain,
% 1.65/1.82 (~ssPv4(skf1(elem!0))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[943, 1544, 7, 3])).
% 1.65/1.82 tff(1546,plain,
% 1.65/1.82 ($false),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[213, 1545, 1544, 7, 187])).
% 1.65/1.82 tff(1547,plain,(ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.82 tff(1548,plain,
% 1.65/1.82 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1547, 1209, 3])).
% 1.65/1.82 tff(1549,plain,
% 1.65/1.82 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1517, 2, 1392])).
% 1.65/1.82 tff(1550,plain,
% 1.65/1.82 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(1551,plain,
% 1.65/1.82 ((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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(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)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(1552,plain,
% 1.65/1.82 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.65/1.82 inference(monotonicity,[status(thm)],[1551])).
% 1.65/1.82 tff(1553,plain,
% 1.65/1.82 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.65/1.82 inference(transitivity,[status(thm)],[1552, 1550])).
% 1.65/1.82 tff(1554,plain,
% 1.65/1.82 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.65/1.82 inference(quant_inst,[status(thm)],[])).
% 1.65/1.82 tff(1555,plain,
% 1.65/1.82 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(X)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[1554, 1553])).
% 1.65/1.82 tff(1556,plain,
% 1.65/1.82 ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1555, 1125, 419, 447])).
% 1.65/1.82 tff(1557,plain,
% 1.65/1.82 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1556, 1549, 1392, 2])).
% 1.65/1.82 tff(1558,plain,
% 1.65/1.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(1559,plain,
% 1.65/1.82 ((ssPv4(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))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(elem!0)))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(1560,plain,
% 1.65/1.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv4(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))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.82 inference(monotonicity,[status(thm)],[1559])).
% 1.65/1.82 tff(1561,plain,
% 1.65/1.82 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv4(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))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.65/1.82 inference(transitivity,[status(thm)],[1560, 1558])).
% 1.65/1.82 tff(1562,plain,
% 1.65/1.82 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv4(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))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(elem!0))))),
% 1.65/1.82 inference(quant_inst,[status(thm)],[])).
% 1.65/1.82 tff(1563,plain,
% 1.65/1.82 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv3(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[1562, 1561])).
% 1.65/1.82 tff(1564,plain,
% 1.65/1.82 ((~ssPv2(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1563, 1059, 16, 150])).
% 1.65/1.82 tff(1565,plain,
% 1.65/1.82 (~ssPv2(skf1(elem!0))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1564, 2, 3, 1392])).
% 1.65/1.82 tff(1566,plain,
% 1.65/1.82 (~ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[344, 1565, 3, 1533])).
% 1.65/1.82 tff(1567,plain,
% 1.65/1.82 (((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(1568,plain,
% 1.65/1.82 ((ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(1569,plain,
% 1.65/1.82 (((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.65/1.82 inference(monotonicity,[status(thm)],[1568])).
% 1.65/1.82 tff(1570,plain,
% 1.65/1.82 (((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.65/1.82 inference(transitivity,[status(thm)],[1569, 1567])).
% 1.65/1.82 tff(1571,plain,
% 1.65/1.82 ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.65/1.82 inference(quant_inst,[status(thm)],[])).
% 1.65/1.82 tff(1572,plain,
% 1.65/1.82 ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[1571, 1570])).
% 1.65/1.82 tff(1573,plain,
% 1.65/1.82 (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1572, 1087, 419, 447])).
% 1.65/1.82 tff(1574,plain,
% 1.65/1.82 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1573, 1566, 3, 2])).
% 1.65/1.82 tff(1575,plain,
% 1.65/1.82 ($false),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[998, 1574, 1566, 1392, 1557])).
% 1.65/1.82 tff(1576,plain,(ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.82 tff(1577,plain,
% 1.65/1.82 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[1576, 1548, 3])).
% 1.65/1.82 tff(1578,plain,
% 1.65/1.82 (~ssPv4(skf1(elem!0))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[943, 1577, 1209, 3])).
% 1.65/1.82 tff(1579,plain,
% 1.66/1.82 (ssPv1(skf1(elem!0))),
% 1.66/1.82 inference(unit_resolution,[status(thm)],[185, 1578, 1533, 1548])).
% 1.66/1.82 tff(1580,plain,
% 1.66/1.82 ($false),
% 1.66/1.82 inference(unit_resolution,[status(thm)],[1160, 1579, 1578, 1533, 3])).
% 1.66/1.82 tff(1581,plain,(ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.82 tff(1582,plain,
% 1.66/1.82 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.66/1.82 inference(unit_resolution,[status(thm)],[1581, 1])).
% 1.66/1.82 tff(1583,plain,
% 1.66/1.82 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.82 inference(rewrite,[status(thm)],[])).
% 1.66/1.82 tff(1584,plain,
% 1.66/1.82 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.82 inference(rewrite,[status(thm)],[])).
% 1.66/1.82 tff(1585,plain,
% 1.66/1.82 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.82 inference(monotonicity,[status(thm)],[1584])).
% 1.66/1.82 tff(1586,plain,
% 1.66/1.82 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.83 inference(transitivity,[status(thm)],[1585, 1583])).
% 1.66/1.83 tff(1587,plain,
% 1.66/1.83 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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)))))),
% 1.66/1.83 inference(quant_inst,[status(thm)],[])).
% 1.66/1.83 tff(1588,plain,
% 1.66/1.83 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv3(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.83 inference(modus_ponens,[status(thm)],[1587, 1586])).
% 1.66/1.83 tff(1589,plain,
% 1.66/1.83 (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[1588, 514, 150, 419])).
% 1.66/1.83 tff(1590,plain,
% 1.66/1.83 (ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[1589, 1180])).
% 1.66/1.83 tff(1591,plain,
% 1.66/1.83 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[1590, 502, 1])).
% 1.66/1.83 tff(1592,plain,
% 1.66/1.83 ($false),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[1483, 1591, 502, 187])).
% 1.66/1.83 tff(1593,plain,(ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.83 tff(1594,plain,
% 1.66/1.83 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[1593, 187, 1])).
% 1.66/1.83 tff(1595,assumption,(ssPv3(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.66/1.83 tff(1596,plain,
% 1.66/1.83 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[664, 697, 630, 187])).
% 1.66/1.83 tff(1597,plain,
% 1.66/1.83 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, 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))))) | (~ssPv3(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))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, 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))))) | (~ssPv3(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))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.83 inference(rewrite,[status(thm)],[])).
% 1.66/1.83 tff(1598,plain,
% 1.66/1.83 ((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(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(elem!0))))) <=> ((~ssPv1(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)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.83 inference(rewrite,[status(thm)],[])).
% 1.66/1.83 tff(1599,plain,
% 1.66/1.83 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~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] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, 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))))) | (~ssPv3(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))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.83 inference(monotonicity,[status(thm)],[1598])).
% 1.66/1.83 tff(1600,plain,
% 1.66/1.83 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~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] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, 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))))) | (~ssPv3(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))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.83 inference(transitivity,[status(thm)],[1599, 1597])).
% 1.66/1.83 tff(1601,plain,
% 1.66/1.83 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~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)))))),
% 1.66/1.83 inference(quant_inst,[status(thm)],[])).
% 1.66/1.83 tff(1602,plain,
% 1.66/1.83 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.83 inference(modus_ponens,[status(thm)],[1601, 1600])).
% 1.66/1.83 tff(1603,plain,
% 1.66/1.83 ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[1602, 355, 150, 419])).
% 1.66/1.83 tff(1604,plain,
% 1.66/1.83 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[1603, 697, 1533, 1595])).
% 1.66/1.83 tff(1605,plain,
% 1.66/1.83 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[464, 1604, 630, 187])).
% 1.66/1.83 tff(1606,plain,
% 1.66/1.83 ($false),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[690, 1605, 1596, 630, 2])).
% 1.66/1.83 tff(1607,plain,(ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.83 tff(1608,plain,
% 1.66/1.83 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[1607, 2, 630, 187, 1595])).
% 1.66/1.83 tff(1609,plain,
% 1.66/1.83 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(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))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(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))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.83 inference(rewrite,[status(thm)],[])).
% 1.66/1.83 tff(1610,plain,
% 1.66/1.83 ((ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0)))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.83 inference(rewrite,[status(thm)],[])).
% 1.66/1.83 tff(1611,plain,
% 1.66/1.83 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~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] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(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))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.83 inference(monotonicity,[status(thm)],[1610])).
% 1.66/1.83 tff(1612,plain,
% 1.66/1.83 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~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] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(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))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.83 inference(transitivity,[status(thm)],[1611, 1609])).
% 1.66/1.83 tff(1613,plain,
% 1.66/1.83 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~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))))),
% 1.66/1.83 inference(quant_inst,[status(thm)],[])).
% 1.66/1.83 tff(1614,plain,
% 1.66/1.83 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv4(Y) | ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(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))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.83 inference(modus_ponens,[status(thm)],[1613, 1612])).
% 1.66/1.83 tff(1615,plain,
% 1.66/1.83 ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[1614, 355, 16, 150])).
% 1.66/1.83 tff(1616,plain,
% 1.66/1.83 (~ssPv1(skf1(elem!0))),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[1615, 2, 630, 187])).
% 1.66/1.83 tff(1617,plain,
% 1.66/1.83 (~ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[371, 611, 1616, 2])).
% 1.66/1.83 tff(1618,plain,
% 1.66/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | (ssPv1(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)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | ssPv1(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)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.83 inference(rewrite,[status(thm)],[])).
% 1.66/1.83 tff(1619,plain,
% 1.66/1.83 ((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)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv1(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)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.83 inference(rewrite,[status(thm)],[])).
% 1.66/1.83 tff(1620,plain,
% 1.66/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | (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)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | (ssPv1(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)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.83 inference(monotonicity,[status(thm)],[1619])).
% 1.66/1.83 tff(1621,plain,
% 1.66/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | (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)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | ssPv1(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)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.83 inference(transitivity,[status(thm)],[1620, 1618])).
% 1.66/1.83 tff(1622,plain,
% 1.66/1.83 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | (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)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.83 inference(quant_inst,[status(thm)],[])).
% 1.66/1.83 tff(1623,plain,
% 1.66/1.83 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | ssPv1(W) | (~ssPv3(X)))) | ssPv1(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)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.83 inference(modus_ponens,[status(thm)],[1622, 1621])).
% 1.66/1.83 tff(1624,plain,
% 1.66/1.83 (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[1623, 300, 419, 447])).
% 1.66/1.83 tff(1625,plain,
% 1.66/1.83 (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[1624, 1617, 1595, 187])).
% 1.66/1.83 tff(1626,plain,
% 1.66/1.83 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[464, 1625, 630, 187])).
% 1.66/1.83 tff(1627,plain,
% 1.66/1.83 (((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.83 inference(rewrite,[status(thm)],[])).
% 1.66/1.83 tff(1628,plain,
% 1.66/1.83 ((ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), 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))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))) <=> (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(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))))))))),
% 1.66/1.83 inference(rewrite,[status(thm)],[])).
% 1.66/1.83 tff(1629,plain,
% 1.66/1.83 (((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), 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))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.83 inference(monotonicity,[status(thm)],[1628])).
% 1.66/1.83 tff(1630,plain,
% 1.66/1.83 (((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), 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))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.83 inference(transitivity,[status(thm)],[1629, 1627])).
% 1.66/1.83 tff(1631,plain,
% 1.66/1.83 ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), 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))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.83 inference(quant_inst,[status(thm)],[])).
% 1.66/1.83 tff(1632,plain,
% 1.66/1.83 ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.83 inference(modus_ponens,[status(thm)],[1631, 1630])).
% 1.66/1.83 tff(1633,plain,
% 1.66/1.83 (ssPv1(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)))))))),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[1632, 580, 419, 447])).
% 1.66/1.83 tff(1634,plain,
% 1.66/1.83 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[1633, 1617, 630, 187])).
% 1.66/1.83 tff(1635,plain,
% 1.66/1.83 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[1103, 611, 1533, 1595])).
% 1.66/1.83 tff(1636,plain,
% 1.66/1.83 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ((~ssPv4(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))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssPv4(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))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.83 inference(rewrite,[status(thm)],[])).
% 1.66/1.83 tff(1637,plain,
% 1.66/1.83 ((ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv4(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))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.83 inference(rewrite,[status(thm)],[])).
% 1.66/1.83 tff(1638,plain,
% 1.66/1.83 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ((~ssPv4(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))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.66/1.83 inference(monotonicity,[status(thm)],[1637])).
% 1.66/1.83 tff(1639,plain,
% 1.66/1.83 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssPv4(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))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.83 inference(transitivity,[status(thm)],[1638, 1636])).
% 1.66/1.83 tff(1640,plain,
% 1.66/1.83 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.83 inference(quant_inst,[status(thm)],[])).
% 1.66/1.83 tff(1641,plain,
% 1.66/1.83 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | ssPv1(V) | (~ssPv1(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssPv4(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))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.83 inference(modus_ponens,[status(thm)],[1640, 1639])).
% 1.66/1.83 tff(1642,plain,
% 1.66/1.83 ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[1641, 675, 447, 504])).
% 1.66/1.83 tff(1643,plain,
% 1.66/1.83 (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.83 inference(unit_resolution,[status(thm)],[1642, 1635, 1625, 1634])).
% 1.66/1.83 tff(1644,plain,
% 1.66/1.83 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(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))))))) | (~ssPv1(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] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(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))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.83 inference(rewrite,[status(thm)],[])).
% 1.66/1.83 tff(1645,plain,
% 1.66/1.83 (((~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))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(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))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.84 inference(rewrite,[status(thm)],[])).
% 1.66/1.84 tff(1646,plain,
% 1.66/1.84 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(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))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(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) | (~ssPv1(X)) | (~ssPv1(V)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(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))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.66/1.84 inference(monotonicity,[status(thm)],[1645])).
% 1.66/1.84 tff(1647,plain,
% 1.66/1.84 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(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))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(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) | (~ssPv1(X)) | (~ssPv1(V)))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(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))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.84 inference(transitivity,[status(thm)],[1646, 1644])).
% 1.66/1.84 tff(1648,plain,
% 1.66/1.84 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(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))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.84 inference(quant_inst,[status(thm)],[])).
% 1.66/1.84 tff(1649,plain,
% 1.66/1.84 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.84 inference(modus_ponens,[status(thm)],[1648, 1647])).
% 1.66/1.84 tff(1650,plain,
% 1.66/1.84 ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[1649, 457, 447, 504])).
% 1.66/1.84 tff(1651,plain,
% 1.66/1.84 ($false),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[1650, 1643, 1625, 1595, 1626])).
% 1.66/1.84 tff(1652,plain,(ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.84 tff(1653,plain,
% 1.66/1.84 (ssPv2(skf1(skf1(elem!0)))),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[1652, 2, 630, 187, 1595])).
% 1.66/1.84 tff(1654,plain,
% 1.66/1.84 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[481, 1653, 1595, 2])).
% 1.66/1.84 tff(1655,assumption,(ssPv2(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.66/1.84 tff(1656,assumption,(~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.66/1.84 tff(1657,plain,
% 1.66/1.84 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[842, 1656, 2, 630])).
% 1.66/1.84 tff(1658,plain,
% 1.66/1.84 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[567, 1657, 630, 500])).
% 1.66/1.84 tff(1659,plain,
% 1.66/1.84 (((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | ((~ssPv4(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)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | (~ssPv4(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)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.84 inference(rewrite,[status(thm)],[])).
% 1.66/1.84 tff(1660,plain,
% 1.66/1.84 (((~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~ssPv4(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)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.84 inference(rewrite,[status(thm)],[])).
% 1.66/1.84 tff(1661,plain,
% 1.66/1.84 (((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | ((~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | ((~ssPv4(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)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.66/1.84 inference(monotonicity,[status(thm)],[1660])).
% 1.66/1.84 tff(1662,plain,
% 1.66/1.84 (((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | ((~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | (~ssPv4(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)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.84 inference(transitivity,[status(thm)],[1661, 1659])).
% 1.66/1.84 tff(1663,plain,
% 1.66/1.84 ((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | ((~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.84 inference(quant_inst,[status(thm)],[])).
% 1.66/1.84 tff(1664,plain,
% 1.66/1.84 ((~![W: $i, V: $i, U: $i] : ((~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv4(W)) | (~ssPv2(W)) | (~ssPv2(V)))) | (~ssPv4(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)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.84 inference(modus_ponens,[status(thm)],[1663, 1662])).
% 1.66/1.84 tff(1665,plain,
% 1.66/1.84 ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[1664, 761, 447, 504])).
% 1.66/1.84 tff(1666,plain,
% 1.66/1.84 (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[1665, 1656, 500, 1655])).
% 1.66/1.84 tff(1667,plain,
% 1.66/1.84 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~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)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~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)))))))))),
% 1.66/1.84 inference(rewrite,[status(thm)],[])).
% 1.66/1.84 tff(1668,plain,
% 1.66/1.84 ((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(skf1(elem!0))))), skf1(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(skf1(elem!0))))))) <=> ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~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)))))))))),
% 1.66/1.84 inference(rewrite,[status(thm)],[])).
% 1.66/1.84 tff(1669,plain,
% 1.66/1.84 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (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(skf1(elem!0))))), skf1(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(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~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))))))))))),
% 1.66/1.84 inference(monotonicity,[status(thm)],[1668])).
% 1.66/1.84 tff(1670,plain,
% 1.66/1.84 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (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(skf1(elem!0))))), skf1(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(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~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)))))))))),
% 1.66/1.84 inference(transitivity,[status(thm)],[1669, 1667])).
% 1.66/1.84 tff(1671,plain,
% 1.66/1.84 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (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(skf1(elem!0))))), skf1(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(skf1(elem!0)))))))),
% 1.66/1.84 inference(quant_inst,[status(thm)],[])).
% 1.66/1.84 tff(1672,plain,
% 1.66/1.84 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~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))))))))),
% 1.66/1.84 inference(modus_ponens,[status(thm)],[1671, 1670])).
% 1.66/1.84 tff(1673,plain,
% 1.66/1.84 ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[1672, 160, 447, 504])).
% 1.66/1.84 tff(1674,plain,
% 1.66/1.84 (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[1673, 1657, 1655, 500])).
% 1.66/1.84 tff(1675,plain,
% 1.66/1.84 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(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)))))) | ssPv4(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(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(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)))))) | ssPv4(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(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.84 inference(rewrite,[status(thm)],[])).
% 1.66/1.84 tff(1676,plain,
% 1.66/1.84 ((ssPv2(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)))))))) | (~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))))))) <=> ((~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))))))) | ssPv2(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)))))))))),
% 1.66/1.84 inference(rewrite,[status(thm)],[])).
% 1.66/1.84 tff(1677,plain,
% 1.66/1.84 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(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))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~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) | ssPv4(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)))))) | ssPv4(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(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.66/1.84 inference(monotonicity,[status(thm)],[1676])).
% 1.66/1.84 tff(1678,plain,
% 1.66/1.84 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(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))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~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) | ssPv4(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)))))) | ssPv4(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(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.84 inference(transitivity,[status(thm)],[1677, 1675])).
% 1.66/1.84 tff(1679,plain,
% 1.66/1.84 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(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))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~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)))))))),
% 1.66/1.84 inference(quant_inst,[status(thm)],[])).
% 1.66/1.84 tff(1680,plain,
% 1.66/1.84 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.84 inference(modus_ponens,[status(thm)],[1679, 1678])).
% 1.66/1.84 tff(1681,plain,
% 1.66/1.84 ((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[1680, 389, 447, 504])).
% 1.66/1.84 tff(1682,plain,
% 1.66/1.84 ($false),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[1681, 1674, 1666, 1658, 1655])).
% 1.66/1.84 tff(1683,plain,(ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.84 tff(1684,plain,
% 1.66/1.84 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[1683, 1654, 1608, 630, 2])).
% 1.66/1.84 tff(1685,plain,
% 1.66/1.84 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[464, 1684, 630, 187])).
% 1.66/1.84 tff(1686,plain,
% 1.66/1.84 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[1624, 1685, 1595, 187])).
% 1.66/1.84 tff(1687,plain,
% 1.66/1.84 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))) | (ssPv1(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)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))) | ssPv1(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)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.84 inference(rewrite,[status(thm)],[])).
% 1.66/1.84 tff(1688,plain,
% 1.66/1.84 ((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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))) <=> (ssPv1(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)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.84 inference(rewrite,[status(thm)],[])).
% 1.66/1.84 tff(1689,plain,
% 1.66/1.84 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))) | (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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))) | (ssPv1(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)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.84 inference(monotonicity,[status(thm)],[1688])).
% 1.66/1.84 tff(1690,plain,
% 1.66/1.84 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))) | (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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))) | ssPv1(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)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.84 inference(transitivity,[status(thm)],[1689, 1687])).
% 1.66/1.84 tff(1691,plain,
% 1.66/1.84 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))) | (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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.84 inference(quant_inst,[status(thm)],[])).
% 1.66/1.84 tff(1692,plain,
% 1.66/1.84 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(X)) | (~ssPv2(W)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.84 inference(modus_ponens,[status(thm)],[1691, 1690])).
% 1.66/1.84 tff(1693,plain,
% 1.66/1.84 (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[1692, 264, 419, 447])).
% 1.66/1.84 tff(1694,plain,
% 1.66/1.84 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[1693, 1686, 1595, 187])).
% 1.66/1.84 tff(1695,plain,
% 1.66/1.84 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[690, 1685, 630, 2])).
% 1.66/1.84 tff(1696,plain,
% 1.66/1.84 (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[567, 1695, 630, 1608])).
% 1.66/1.84 tff(1697,plain,
% 1.66/1.84 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[742, 1695, 1595, 1608])).
% 1.66/1.84 tff(1698,plain,
% 1.66/1.84 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[605, 1697, 1694, 1695])).
% 1.66/1.84 tff(1699,plain,
% 1.66/1.84 ($false),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[587, 1698, 1696, 1694, 1685])).
% 1.66/1.84 tff(1700,plain,(ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.84 tff(1701,plain,
% 1.66/1.84 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[1700, 1594, 187, 1582])).
% 1.66/1.84 tff(1702,assumption,(ssPv4(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.66/1.84 tff(1703,plain,
% 1.66/1.84 (ssPv2(skf1(skf1(elem!0)))),
% 1.66/1.84 inference(unit_resolution,[status(thm)],[1103, 697, 1533, 1595])).
% 1.66/1.84 tff(1704,plain,
% 1.66/1.84 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X))))),
% 1.66/1.84 inference(bind,[status(th)],[])).
% 1.66/1.84 tff(1705,plain,
% 1.66/1.84 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))),
% 1.66/1.84 inference(quant_intro,[status(thm)],[1704])).
% 1.66/1.84 tff(1706,plain,
% 1.66/1.84 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))),
% 1.66/1.84 inference(rewrite,[status(thm)],[])).
% 1.66/1.84 tff(1707,plain,
% 1.66/1.84 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv1(V))) <=> ((~ssRr(U, V)) | (~ssPv1(V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> (((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))))), rewrite((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, X))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V)))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | (~ssPv4(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | (~ssPv4(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V)) | (~ssPv4(X)))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V)) | (~ssPv4(X))))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv1(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V)) | (~ssPv4(X))) | (~ssPv1(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V)) | (~ssPv4(X))) | (~ssPv1(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(V)) | (~ssPv4(X)))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv1(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(V)) | (~ssPv4(X))))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv1(W))) | (~ssPv2(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(V)) | (~ssPv4(X))) | (~ssPv2(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(V)) | (~ssPv4(X))) | (~ssPv2(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv1(W))) | (~ssPv2(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))))),
% 1.66/1.84 inference(bind,[status(th)],[])).
% 1.66/1.84 tff(1708,plain,
% 1.66/1.84 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv1(W))) | (~ssPv2(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))),
% 1.66/1.84 inference(quant_intro,[status(thm)],[1707])).
% 1.66/1.84 tff(1709,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv1(W))) | (~ssPv2(W)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause23')).
% 1.66/1.84 tff(1710,plain,
% 1.66/1.84 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))),
% 1.66/1.84 inference(modus_ponens,[status(thm)],[1709, 1708])).
% 1.66/1.84 tff(1711,plain,
% 1.66/1.84 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))),
% 1.66/1.84 inference(modus_ponens,[status(thm)],[1710, 1706])).
% 1.66/1.84 tff(1712,plain,(
% 1.66/1.84 ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))),
% 1.66/1.84 inference(skolemize,[status(sab)],[1711])).
% 1.66/1.84 tff(1713,plain,
% 1.66/1.84 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))),
% 1.66/1.84 inference(modus_ponens,[status(thm)],[1712, 1705])).
% 1.66/1.84 tff(1714,plain,
% 1.66/1.84 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.85 inference(rewrite,[status(thm)],[])).
% 1.66/1.85 tff(1715,plain,
% 1.66/1.85 (((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.85 inference(rewrite,[status(thm)],[])).
% 1.66/1.85 tff(1716,plain,
% 1.66/1.85 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))) | ((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv1(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)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.85 inference(monotonicity,[status(thm)],[1715])).
% 1.66/1.85 tff(1717,plain,
% 1.66/1.85 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))) | ((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv1(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)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.85 inference(transitivity,[status(thm)],[1716, 1714])).
% 1.66/1.85 tff(1718,plain,
% 1.66/1.85 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))) | ((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.85 inference(quant_inst,[status(thm)],[])).
% 1.66/1.85 tff(1719,plain,
% 1.66/1.85 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.85 inference(modus_ponens,[status(thm)],[1718, 1717])).
% 1.66/1.85 tff(1720,plain,
% 1.66/1.85 ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.85 inference(unit_resolution,[status(thm)],[1719, 1713, 150, 419])).
% 1.66/1.85 tff(1721,plain,
% 1.66/1.85 ($false),
% 1.66/1.85 inference(unit_resolution,[status(thm)],[1720, 1604, 1703, 1533, 1702])).
% 1.66/1.85 tff(1722,plain,(ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.85 tff(1723,plain,
% 1.66/1.85 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.85 inference(unit_resolution,[status(thm)],[1722, 1701, 1594])).
% 1.66/1.85 tff(1724,plain,
% 1.66/1.85 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.85 inference(unit_resolution,[status(thm)],[734, 1723, 1582, 1701])).
% 1.66/1.85 tff(1725,plain,
% 1.66/1.85 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.66/1.85 inference(unit_resolution,[status(thm)],[1633, 1724, 1582, 187])).
% 1.66/1.85 tff(1726,plain,
% 1.66/1.85 (((~![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)) | (~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))))))) | (~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)) | (~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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.85 inference(rewrite,[status(thm)],[])).
% 1.66/1.85 tff(1727,plain,
% 1.66/1.85 (((~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))))))) | (~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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.85 inference(rewrite,[status(thm)],[])).
% 1.66/1.85 tff(1728,plain,
% 1.66/1.85 (((~![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)) | (~ssPv4(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))))))) | (~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)) | (~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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.85 inference(monotonicity,[status(thm)],[1727])).
% 1.66/1.85 tff(1729,plain,
% 1.66/1.85 (((~![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)) | (~ssPv4(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))))))) | (~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)) | (~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))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.85 inference(transitivity,[status(thm)],[1728, 1726])).
% 1.66/1.85 tff(1730,plain,
% 1.66/1.85 ((~![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)) | (~ssPv4(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))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.85 inference(quant_inst,[status(thm)],[])).
% 1.66/1.85 tff(1731,plain,
% 1.66/1.85 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(Y)) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.85 inference(modus_ponens,[status(thm)],[1730, 1729])).
% 1.66/1.85 tff(1732,plain,
% 1.66/1.85 (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.85 inference(unit_resolution,[status(thm)],[1731, 1405, 419, 447])).
% 1.66/1.85 tff(1733,plain,
% 1.66/1.85 (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.85 inference(unit_resolution,[status(thm)],[1732, 1724, 187, 1701])).
% 1.66/1.85 tff(1734,plain,
% 1.66/1.85 ($false),
% 1.66/1.85 inference(unit_resolution,[status(thm)],[1693, 1733, 1725, 1594, 187])).
% 1.66/1.85 tff(1735,plain,(ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.85 tff(1736,plain,
% 1.66/1.85 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.66/1.85 inference(unit_resolution,[status(thm)],[1735, 1])).
% 1.66/1.85 tff(1737,plain,
% 1.66/1.85 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.85 inference(unit_resolution,[status(thm)],[1517, 2, 1736])).
% 1.66/1.85 tff(1738,plain,
% 1.66/1.85 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.85 inference(unit_resolution,[status(thm)],[1556, 1737, 1736, 2])).
% 1.66/1.85 tff(1739,plain,
% 1.66/1.85 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.85 inference(rewrite,[status(thm)],[])).
% 1.66/1.85 tff(1740,plain,
% 1.66/1.85 (((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.85 inference(rewrite,[status(thm)],[])).
% 1.66/1.85 tff(1741,plain,
% 1.66/1.85 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.85 inference(monotonicity,[status(thm)],[1740])).
% 1.66/1.85 tff(1742,plain,
% 1.66/1.85 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.85 inference(transitivity,[status(thm)],[1741, 1739])).
% 1.66/1.85 tff(1743,plain,
% 1.66/1.85 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.85 inference(quant_inst,[status(thm)],[])).
% 1.66/1.85 tff(1744,plain,
% 1.66/1.85 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv1(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv3(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.85 inference(modus_ponens,[status(thm)],[1743, 1742])).
% 1.66/1.85 tff(1745,plain,
% 1.66/1.85 ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.85 inference(unit_resolution,[status(thm)],[1744, 1143, 419, 447])).
% 1.66/1.85 tff(1746,plain,
% 1.66/1.85 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.85 inference(unit_resolution,[status(thm)],[1745, 1738, 1582, 1736])).
% 1.66/1.85 tff(1747,plain,
% 1.66/1.85 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.85 inference(unit_resolution,[status(thm)],[690, 1746, 1582, 2])).
% 1.66/1.85 tff(1748,plain,
% 1.66/1.85 (((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.85 inference(rewrite,[status(thm)],[])).
% 1.66/1.85 tff(1749,plain,
% 1.66/1.85 ((ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))) <=> (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.85 inference(rewrite,[status(thm)],[])).
% 1.66/1.85 tff(1750,plain,
% 1.66/1.85 (((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.85 inference(monotonicity,[status(thm)],[1749])).
% 1.66/1.85 tff(1751,plain,
% 1.66/1.85 (((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.85 inference(transitivity,[status(thm)],[1750, 1748])).
% 1.66/1.85 tff(1752,plain,
% 1.66/1.85 ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.85 inference(quant_inst,[status(thm)],[])).
% 1.66/1.85 tff(1753,plain,
% 1.66/1.85 ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.85 inference(modus_ponens,[status(thm)],[1752, 1751])).
% 1.66/1.85 tff(1754,plain,
% 1.66/1.85 (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)))))))),
% 1.66/1.85 inference(unit_resolution,[status(thm)],[1753, 621, 419, 447])).
% 1.66/1.85 tff(1755,plain,
% 1.66/1.85 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.66/1.85 inference(unit_resolution,[status(thm)],[1754, 1747, 1582, 2])).
% 1.66/1.85 tff(1756,plain,
% 1.66/1.85 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(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] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.66/1.85 inference(rewrite,[status(thm)],[])).
% 1.66/1.85 tff(1757,plain,
% 1.66/1.85 ((ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.66/1.85 inference(rewrite,[status(thm)],[])).
% 1.66/1.85 tff(1758,plain,
% 1.66/1.85 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.85 inference(monotonicity,[status(thm)],[1757])).
% 1.66/1.85 tff(1759,plain,
% 1.66/1.85 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.66/1.85 inference(transitivity,[status(thm)],[1758, 1756])).
% 1.66/1.85 tff(1760,plain,
% 1.66/1.85 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)))),
% 1.66/1.85 inference(quant_inst,[status(thm)],[])).
% 1.66/1.85 tff(1761,plain,
% 1.66/1.85 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv1(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.66/1.85 inference(modus_ponens,[status(thm)],[1760, 1759])).
% 1.66/1.85 tff(1762,plain,
% 1.66/1.85 ((~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.66/1.85 inference(unit_resolution,[status(thm)],[1761, 648, 16, 150])).
% 1.66/1.85 tff(1763,plain,
% 1.66/1.85 (ssPv4(skf1(elem!0))),
% 1.66/1.85 inference(unit_resolution,[status(thm)],[1762, 2, 1533, 1736])).
% 1.66/1.85 tff(1764,plain,
% 1.66/1.85 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.66/1.85 inference(rewrite,[status(thm)],[])).
% 1.66/1.85 tff(1765,plain,
% 1.66/1.85 ((ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0))))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.66/1.85 inference(rewrite,[status(thm)],[])).
% 1.66/1.85 tff(1766,plain,
% 1.66/1.85 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.86 inference(monotonicity,[status(thm)],[1765])).
% 1.66/1.86 tff(1767,plain,
% 1.66/1.86 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.66/1.86 inference(transitivity,[status(thm)],[1766, 1764])).
% 1.66/1.86 tff(1768,plain,
% 1.66/1.86 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.66/1.86 inference(quant_inst,[status(thm)],[])).
% 1.66/1.86 tff(1769,plain,
% 1.66/1.86 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv4(W)) | (~ssPv4(X)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.66/1.86 inference(modus_ponens,[status(thm)],[1768, 1767])).
% 1.66/1.86 tff(1770,plain,
% 1.66/1.86 ((~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[1769, 598, 16, 150])).
% 1.66/1.86 tff(1771,plain,
% 1.66/1.86 ((~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[1770, 1180])).
% 1.66/1.86 tff(1772,plain,
% 1.66/1.86 (~ssPv3(skf1(elem!0))),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[1771, 1763, 2])).
% 1.66/1.86 tff(1773,plain,
% 1.66/1.86 (~ssPv3(elem!0)),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[415, 1772, 1, 1763])).
% 1.66/1.86 tff(1774,plain,
% 1.66/1.86 (ssPv3(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(elem!0))),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[1188, 1180])).
% 1.66/1.86 tff(1775,plain,
% 1.66/1.86 (~ssPv4(elem!0)),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[1774, 1773, 1])).
% 1.66/1.86 tff(1776,plain,
% 1.66/1.86 (((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | (ssPv4(elem!0) | ssPv3(elem!0) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | ssPv4(elem!0) | ssPv3(elem!0) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.66/1.86 inference(rewrite,[status(thm)],[])).
% 1.66/1.86 tff(1777,plain,
% 1.66/1.86 ((ssPv4(elem!0) | ssPv3(elem!0) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> (ssPv4(elem!0) | ssPv3(elem!0) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.66/1.86 inference(rewrite,[status(thm)],[])).
% 1.66/1.86 tff(1778,plain,
% 1.66/1.86 (((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | (ssPv4(elem!0) | ssPv3(elem!0) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | (ssPv4(elem!0) | ssPv3(elem!0) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0))))))),
% 1.66/1.86 inference(monotonicity,[status(thm)],[1777])).
% 1.66/1.86 tff(1779,plain,
% 1.66/1.86 (((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | (ssPv4(elem!0) | ssPv3(elem!0) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | ssPv4(elem!0) | ssPv3(elem!0) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.66/1.86 inference(transitivity,[status(thm)],[1778, 1776])).
% 1.66/1.86 tff(1780,plain,
% 1.66/1.86 ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | (ssPv4(elem!0) | ssPv3(elem!0) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.66/1.86 inference(quant_inst,[status(thm)],[])).
% 1.66/1.86 tff(1781,plain,
% 1.66/1.86 ((~![W: $i, V: $i, U: $i] : (ssPv4(W) | ssPv3(W) | ssPv2(W) | (~ssRr(W, U)) | (~ssPv4(V)) | (~ssRr(U, V)))) | ssPv4(elem!0) | ssPv3(elem!0) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0))))),
% 1.66/1.86 inference(modus_ponens,[status(thm)],[1780, 1779])).
% 1.66/1.86 tff(1782,plain,
% 1.66/1.86 (ssPv4(elem!0) | ssPv3(elem!0) | ssPv2(elem!0) | (~ssPv4(skf1(skf1(elem!0))))),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[1781, 1087, 18, 16])).
% 1.66/1.86 tff(1783,plain,
% 1.66/1.86 (ssPv4(elem!0) | ssPv3(elem!0) | ssPv2(elem!0)),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[1782, 1180])).
% 1.66/1.86 tff(1784,plain,
% 1.66/1.86 (ssPv2(elem!0)),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[1783, 1775, 1773])).
% 1.66/1.86 tff(1785,plain,
% 1.66/1.86 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv2(elem!0)) | (~ssPv4(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv2(elem!0)) | (~ssPv4(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.66/1.86 inference(rewrite,[status(thm)],[])).
% 1.66/1.86 tff(1786,plain,
% 1.66/1.86 (((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv2(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0)))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv2(elem!0)) | (~ssPv4(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.66/1.86 inference(rewrite,[status(thm)],[])).
% 1.66/1.86 tff(1787,plain,
% 1.66/1.86 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv2(elem!0)) | (~ssPv1(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)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv2(elem!0)) | (~ssPv4(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0)))))),
% 1.66/1.86 inference(monotonicity,[status(thm)],[1786])).
% 1.66/1.86 tff(1788,plain,
% 1.66/1.86 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv2(elem!0)) | (~ssPv1(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)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv2(elem!0)) | (~ssPv4(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.66/1.86 inference(transitivity,[status(thm)],[1787, 1785])).
% 1.66/1.86 tff(1789,plain,
% 1.66/1.86 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv2(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))),
% 1.66/1.86 inference(quant_inst,[status(thm)],[])).
% 1.66/1.86 tff(1790,plain,
% 1.66/1.86 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)) | (~ssPv4(X)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv2(elem!0)) | (~ssPv4(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0)))),
% 1.66/1.86 inference(modus_ponens,[status(thm)],[1789, 1788])).
% 1.66/1.86 tff(1791,plain,
% 1.66/1.86 ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv2(elem!0)) | (~ssPv4(skf1(elem!0)))),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[1790, 1713, 18, 16])).
% 1.66/1.86 tff(1792,plain,
% 1.66/1.86 (~ssPv1(elem!0)),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[1791, 1784, 1763, 1533])).
% 1.66/1.86 tff(1793,plain,
% 1.66/1.86 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv4(elem!0) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | ssPv4(elem!0) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))))),
% 1.66/1.86 inference(rewrite,[status(thm)],[])).
% 1.66/1.86 tff(1794,plain,
% 1.66/1.86 ((ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0))))) <=> (ssPv4(elem!0) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))))),
% 1.66/1.86 inference(rewrite,[status(thm)],[])).
% 1.66/1.86 tff(1795,plain,
% 1.66/1.86 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv4(elem!0) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0)))))),
% 1.66/1.86 inference(monotonicity,[status(thm)],[1794])).
% 1.66/1.86 tff(1796,plain,
% 1.66/1.86 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | ssPv4(elem!0) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))))),
% 1.66/1.86 inference(transitivity,[status(thm)],[1795, 1793])).
% 1.66/1.86 tff(1797,plain,
% 1.66/1.86 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.66/1.86 inference(quant_inst,[status(thm)],[])).
% 1.66/1.86 tff(1798,plain,
% 1.66/1.86 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv1(X)) | (~ssPv1(V)))) | ssPv4(elem!0) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0)))),
% 1.66/1.86 inference(modus_ponens,[status(thm)],[1797, 1796])).
% 1.66/1.86 tff(1799,plain,
% 1.66/1.86 (ssPv4(elem!0) | ssPv1(elem!0) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0)))),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[1798, 178, 18, 16])).
% 1.66/1.86 tff(1800,plain,
% 1.66/1.86 (~ssPv1(skf1(elem!0))),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[1799, 1792, 1533, 1775])).
% 1.66/1.86 tff(1801,plain,
% 1.66/1.86 (ssPv2(skf1(elem!0))),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[325, 1800, 1736, 1772])).
% 1.66/1.86 tff(1802,plain,
% 1.66/1.86 ($false),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[768, 1801, 1800, 1763, 1755])).
% 1.66/1.86 tff(1803,plain,(ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.86 tff(1804,plain,
% 1.66/1.86 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[1803, 1])).
% 1.66/1.86 tff(1805,plain,
% 1.66/1.86 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[1722, 697, 1702])).
% 1.66/1.86 tff(1806,plain,
% 1.66/1.86 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(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)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(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)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.86 inference(rewrite,[status(thm)],[])).
% 1.66/1.86 tff(1807,plain,
% 1.66/1.86 ((ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~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)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.86 inference(rewrite,[status(thm)],[])).
% 1.66/1.86 tff(1808,plain,
% 1.66/1.86 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~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] : (ssPv1(Y) | (~ssPv1(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)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.86 inference(monotonicity,[status(thm)],[1807])).
% 1.66/1.86 tff(1809,plain,
% 1.66/1.86 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~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] : (ssPv1(Y) | (~ssPv1(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)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.86 inference(transitivity,[status(thm)],[1808, 1806])).
% 1.66/1.86 tff(1810,plain,
% 1.66/1.86 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(Z)) | (~ssRr(X, Y)) | ssPv4(V) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~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)))))),
% 1.66/1.86 inference(quant_inst,[status(thm)],[])).
% 1.66/1.86 tff(1811,plain,
% 1.66/1.86 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv1(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)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.86 inference(modus_ponens,[status(thm)],[1810, 1809])).
% 1.66/1.86 tff(1812,plain,
% 1.66/1.86 ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[1811, 863, 150, 419])).
% 1.66/1.86 tff(1813,plain,
% 1.66/1.86 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[1812, 697, 1533, 1392])).
% 1.66/1.86 tff(1814,plain,
% 1.66/1.86 (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[682, 1813, 1702, 697])).
% 1.66/1.86 tff(1815,plain,
% 1.66/1.86 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V))))),
% 1.66/1.86 inference(bind,[status(th)],[])).
% 1.66/1.86 tff(1816,plain,
% 1.66/1.86 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V)))),
% 1.66/1.86 inference(quant_intro,[status(thm)],[1815])).
% 1.66/1.86 tff(1817,plain,
% 1.66/1.86 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V)))),
% 1.66/1.86 inference(rewrite,[status(thm)],[])).
% 1.66/1.86 tff(1818,plain,
% 1.66/1.86 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv1(V))) <=> ((~ssRr(U, V)) | (~ssPv1(V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> (((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))))), rewrite((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, X))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V)))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | (~ssPv1(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | (~ssPv1(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv1(V)))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv1(V))))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv3(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv1(V))) | (~ssPv3(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv1(V))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(X)) | (~ssPv1(V)))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(X)) | (~ssPv1(V))))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv3(W))) | ssPv2(W)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(X)) | (~ssPv1(V))) | ssPv2(W)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv1(X)) | (~ssPv1(V))) | ssPv2(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V)))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv3(W))) | ssPv2(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V)))))),
% 1.66/1.86 inference(bind,[status(th)],[])).
% 1.66/1.86 tff(1819,plain,
% 1.66/1.86 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv3(W))) | ssPv2(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V)))),
% 1.66/1.86 inference(quant_intro,[status(thm)],[1818])).
% 1.66/1.86 tff(1820,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv3(W))) | ssPv2(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause22')).
% 1.66/1.86 tff(1821,plain,
% 1.66/1.86 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V)))),
% 1.66/1.86 inference(modus_ponens,[status(thm)],[1820, 1819])).
% 1.66/1.86 tff(1822,plain,
% 1.66/1.86 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V)))),
% 1.66/1.86 inference(modus_ponens,[status(thm)],[1821, 1817])).
% 1.66/1.86 tff(1823,plain,(
% 1.66/1.86 ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V)))),
% 1.66/1.86 inference(skolemize,[status(sab)],[1822])).
% 1.66/1.86 tff(1824,plain,
% 1.66/1.86 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V)))),
% 1.66/1.86 inference(modus_ponens,[status(thm)],[1823, 1816])).
% 1.66/1.86 tff(1825,plain,
% 1.66/1.86 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(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] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.86 inference(rewrite,[status(thm)],[])).
% 1.66/1.86 tff(1826,plain,
% 1.66/1.86 (((~ssRr(skf1(skf1(skf1(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))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(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))))))))),
% 1.66/1.86 inference(rewrite,[status(thm)],[])).
% 1.66/1.86 tff(1827,plain,
% 1.66/1.86 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(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))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(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)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.86 inference(monotonicity,[status(thm)],[1826])).
% 1.66/1.86 tff(1828,plain,
% 1.66/1.86 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(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))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(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)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.86 inference(transitivity,[status(thm)],[1827, 1825])).
% 1.66/1.86 tff(1829,plain,
% 1.66/1.86 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(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))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.86 inference(quant_inst,[status(thm)],[])).
% 1.66/1.86 tff(1830,plain,
% 1.66/1.86 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.86 inference(modus_ponens,[status(thm)],[1829, 1828])).
% 1.66/1.86 tff(1831,plain,
% 1.66/1.86 (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[1830, 1824, 419, 447])).
% 1.66/1.86 tff(1832,plain,
% 1.66/1.86 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.66/1.86 inference(unit_resolution,[status(thm)],[1831, 1814, 630, 1813])).
% 1.66/1.86 tff(1833,plain,
% 1.66/1.86 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V))))),
% 1.66/1.86 inference(bind,[status(th)],[])).
% 1.66/1.86 tff(1834,plain,
% 1.66/1.86 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)))),
% 1.66/1.86 inference(quant_intro,[status(thm)],[1833])).
% 1.66/1.86 tff(1835,plain,
% 1.66/1.86 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)))),
% 1.66/1.86 inference(rewrite,[status(thm)],[])).
% 1.66/1.86 tff(1836,plain,
% 1.66/1.86 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv1(V))) <=> ((~ssRr(U, V)) | (~ssPv1(V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> (((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))))), rewrite((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, X))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V)))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | (~ssPv1(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(V))) | (~ssPv1(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(V)))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(V))))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv2(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(V))) | (~ssPv2(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv1(V))) | (~ssPv2(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv2(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V))))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv2(W))) | ssPv3(X)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V))) | ssPv3(X)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V))) | ssPv3(X)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv2(W))) | ssPv3(X)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)))))),
% 1.66/1.86 inference(bind,[status(th)],[])).
% 1.66/1.86 tff(1837,plain,
% 1.66/1.86 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv2(W))) | ssPv3(X)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)))),
% 1.66/1.86 inference(quant_intro,[status(thm)],[1836])).
% 1.66/1.86 tff(1838,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv2(W))) | ssPv3(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause21')).
% 1.66/1.86 tff(1839,plain,
% 1.66/1.86 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)))),
% 1.66/1.86 inference(modus_ponens,[status(thm)],[1838, 1837])).
% 1.66/1.86 tff(1840,plain,
% 1.66/1.86 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)))),
% 1.66/1.86 inference(modus_ponens,[status(thm)],[1839, 1835])).
% 1.66/1.86 tff(1841,plain,(
% 1.66/1.86 ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)))),
% 1.66/1.86 inference(skolemize,[status(sab)],[1840])).
% 1.66/1.86 tff(1842,plain,
% 1.66/1.86 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)))),
% 1.66/1.86 inference(modus_ponens,[status(thm)],[1841, 1834])).
% 1.66/1.86 tff(1843,plain,
% 1.66/1.86 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(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] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.86 inference(rewrite,[status(thm)],[])).
% 1.66/1.86 tff(1844,plain,
% 1.66/1.86 (((~ssRr(skf1(skf1(skf1(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))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.87 inference(rewrite,[status(thm)],[])).
% 1.66/1.87 tff(1845,plain,
% 1.66/1.87 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(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(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv1(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)) | (~ssPv2(W)) | (~ssPv1(V)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.87 inference(monotonicity,[status(thm)],[1844])).
% 1.66/1.87 tff(1846,plain,
% 1.66/1.87 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(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(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv1(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)) | (~ssPv2(W)) | (~ssPv1(V)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.87 inference(transitivity,[status(thm)],[1845, 1843])).
% 1.66/1.87 tff(1847,plain,
% 1.66/1.87 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(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(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.87 inference(quant_inst,[status(thm)],[])).
% 1.66/1.87 tff(1848,plain,
% 1.66/1.87 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(X) | (~ssPv1(W)) | (~ssPv2(W)) | (~ssPv1(V)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.87 inference(modus_ponens,[status(thm)],[1847, 1846])).
% 1.66/1.87 tff(1849,plain,
% 1.66/1.87 ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[1848, 1842, 419, 447])).
% 1.66/1.87 tff(1850,plain,
% 1.66/1.87 ($false),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[1849, 1832, 1814, 1392, 1805])).
% 1.66/1.87 tff(1851,plain,(ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.87 tff(1852,plain,
% 1.66/1.87 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[1851, 1736, 1582, 1804])).
% 1.66/1.87 tff(1853,plain,
% 1.66/1.87 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[734, 1852, 1582, 1804])).
% 1.66/1.87 tff(1854,plain,
% 1.66/1.87 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[1590, 1852, 1])).
% 1.66/1.87 tff(1855,plain,
% 1.66/1.87 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[742, 1854, 1853, 1852])).
% 1.66/1.87 tff(1856,plain,
% 1.66/1.87 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.87 inference(rewrite,[status(thm)],[])).
% 1.66/1.87 tff(1857,plain,
% 1.66/1.87 (((~ssPv2(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)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(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))))))) <=> ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.87 inference(rewrite,[status(thm)],[])).
% 1.66/1.87 tff(1858,plain,
% 1.66/1.87 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv2(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)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.66/1.87 inference(monotonicity,[status(thm)],[1857])).
% 1.66/1.87 tff(1859,plain,
% 1.66/1.87 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv2(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)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.87 inference(transitivity,[status(thm)],[1858, 1856])).
% 1.66/1.87 tff(1860,plain,
% 1.66/1.87 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ((~ssPv2(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)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.87 inference(quant_inst,[status(thm)],[])).
% 1.66/1.87 tff(1861,plain,
% 1.66/1.87 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv2(Y)) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.87 inference(modus_ponens,[status(thm)],[1860, 1859])).
% 1.66/1.87 tff(1862,plain,
% 1.66/1.87 ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(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))))))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[1861, 560, 447, 504])).
% 1.66/1.87 tff(1863,plain,
% 1.66/1.87 (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[1862, 1855, 1854, 1853])).
% 1.66/1.87 tff(1864,plain,
% 1.66/1.87 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.87 inference(rewrite,[status(thm)],[])).
% 1.66/1.87 tff(1865,plain,
% 1.66/1.87 ((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)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.87 inference(rewrite,[status(thm)],[])).
% 1.66/1.87 tff(1866,plain,
% 1.66/1.87 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.66/1.87 inference(monotonicity,[status(thm)],[1865])).
% 1.66/1.87 tff(1867,plain,
% 1.66/1.87 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.87 inference(transitivity,[status(thm)],[1866, 1864])).
% 1.66/1.87 tff(1868,plain,
% 1.66/1.87 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(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)))))))),
% 1.66/1.87 inference(quant_inst,[status(thm)],[])).
% 1.66/1.87 tff(1869,plain,
% 1.66/1.87 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.87 inference(modus_ponens,[status(thm)],[1868, 1867])).
% 1.66/1.87 tff(1870,plain,
% 1.66/1.87 ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[1869, 1231, 447, 504])).
% 1.66/1.87 tff(1871,plain,
% 1.66/1.87 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[1870, 1863, 1855, 1852])).
% 1.66/1.87 tff(1872,plain,
% 1.66/1.87 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[1745, 1871, 1582, 1736])).
% 1.66/1.87 tff(1873,plain,
% 1.66/1.87 (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[567, 1852, 1582, 1853])).
% 1.66/1.87 tff(1874,plain,
% 1.66/1.87 (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[587, 1871, 1873, 1872])).
% 1.66/1.87 tff(1875,plain,
% 1.66/1.87 ($false),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[605, 1874, 1871, 1855, 1853])).
% 1.66/1.87 tff(1876,plain,(ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.87 tff(1877,plain,
% 1.66/1.87 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[1496, 1702, 1876])).
% 1.66/1.87 tff(1878,plain,
% 1.66/1.87 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[750, 1702, 1876, 1877])).
% 1.66/1.87 tff(1879,plain,
% 1.66/1.87 ($false),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[1259, 1878, 1877, 3])).
% 1.66/1.87 tff(1880,plain,((~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.87 tff(1881,plain,
% 1.66/1.87 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[1880, 3])).
% 1.66/1.87 tff(1882,plain,
% 1.66/1.87 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[1576, 1881, 3])).
% 1.66/1.87 tff(1883,plain,
% 1.66/1.87 (~ssPv1(skf1(elem!0))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[1540, 1881, 1533, 1882])).
% 1.66/1.87 tff(1884,plain,
% 1.66/1.87 (ssPv2(skf1(elem!0))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[307, 6, 610, 187])).
% 1.66/1.87 tff(1885,plain,
% 1.66/1.87 ($false),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[271, 1884, 6, 610, 3])).
% 1.66/1.87 tff(1886,plain,(ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.87 tff(1887,plain,
% 1.66/1.87 ($false),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[1886, 1883, 1882, 1876, 3])).
% 1.66/1.87 tff(1888,plain,(ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.87 tff(1889,plain,
% 1.66/1.87 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.87 inference(rewrite,[status(thm)],[])).
% 1.66/1.87 tff(1890,plain,
% 1.66/1.87 ((ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(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(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.87 inference(rewrite,[status(thm)],[])).
% 1.66/1.87 tff(1891,plain,
% 1.66/1.87 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.87 inference(monotonicity,[status(thm)],[1890])).
% 1.66/1.87 tff(1892,plain,
% 1.66/1.87 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.87 inference(transitivity,[status(thm)],[1891, 1889])).
% 1.66/1.87 tff(1893,plain,
% 1.66/1.87 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.66/1.87 inference(quant_inst,[status(thm)],[])).
% 1.66/1.87 tff(1894,plain,
% 1.66/1.87 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv3(X)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.87 inference(modus_ponens,[status(thm)],[1893, 1892])).
% 1.66/1.87 tff(1895,plain,
% 1.66/1.87 ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[1894, 1019, 150, 419])).
% 1.66/1.87 tff(1896,plain,
% 1.66/1.87 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[1895, 1888, 1533, 1876])).
% 1.66/1.87 tff(1897,plain,
% 1.66/1.87 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[1700, 187, 1888, 2])).
% 1.66/1.87 tff(1898,plain,
% 1.66/1.87 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[497, 1897, 1888, 1896])).
% 1.66/1.87 tff(1899,plain,
% 1.66/1.87 (((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.87 inference(rewrite,[status(thm)],[])).
% 1.66/1.87 tff(1900,plain,
% 1.66/1.87 ((ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(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))))))))),
% 1.66/1.87 inference(rewrite,[status(thm)],[])).
% 1.66/1.87 tff(1901,plain,
% 1.66/1.87 (((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.66/1.87 inference(monotonicity,[status(thm)],[1900])).
% 1.66/1.87 tff(1902,plain,
% 1.66/1.87 (((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.87 inference(transitivity,[status(thm)],[1901, 1899])).
% 1.66/1.87 tff(1903,plain,
% 1.66/1.87 ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.87 inference(quant_inst,[status(thm)],[])).
% 1.66/1.87 tff(1904,plain,
% 1.66/1.87 ((~![W: $i, V: $i, U: $i] : (ssPv2(W) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W) | (~ssPv3(W)) | (~ssPv3(V)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.87 inference(modus_ponens,[status(thm)],[1903, 1902])).
% 1.66/1.87 tff(1905,plain,
% 1.66/1.87 (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[1904, 817, 419, 447])).
% 1.66/1.87 tff(1906,plain,
% 1.66/1.87 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[1905, 1898, 1888, 187])).
% 1.66/1.87 tff(1907,plain,
% 1.66/1.87 (~ssPv1(skf1(elem!0))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[1615, 187, 1888, 2])).
% 1.66/1.87 tff(1908,plain,
% 1.66/1.87 (ssPv2(skf1(skf1(elem!0)))),
% 1.66/1.87 inference(unit_resolution,[status(thm)],[371, 1906, 1907, 2])).
% 1.66/1.87 tff(1909,plain,
% 1.66/1.87 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.87 inference(rewrite,[status(thm)],[])).
% 1.66/1.87 tff(1910,plain,
% 1.66/1.87 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0))))) <=> ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.87 inference(rewrite,[status(thm)],[])).
% 1.66/1.87 tff(1911,plain,
% 1.66/1.87 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.88 inference(monotonicity,[status(thm)],[1910])).
% 1.66/1.88 tff(1912,plain,
% 1.66/1.88 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.88 inference(transitivity,[status(thm)],[1911, 1909])).
% 1.66/1.88 tff(1913,plain,
% 1.66/1.88 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.66/1.88 inference(quant_inst,[status(thm)],[])).
% 1.66/1.88 tff(1914,plain,
% 1.66/1.88 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv2(W)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.88 inference(modus_ponens,[status(thm)],[1913, 1912])).
% 1.66/1.88 tff(1915,plain,
% 1.66/1.88 ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.88 inference(unit_resolution,[status(thm)],[1914, 160, 150, 419])).
% 1.66/1.88 tff(1916,plain,
% 1.66/1.88 ((~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.88 inference(unit_resolution,[status(thm)],[1915, 1180])).
% 1.66/1.88 tff(1917,plain,
% 1.66/1.88 ($false),
% 1.66/1.88 inference(unit_resolution,[status(thm)],[1916, 1908, 1906, 1897])).
% 1.66/1.88 tff(1918,plain,(ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.88 tff(1919,plain,
% 1.66/1.88 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.66/1.88 inference(unit_resolution,[status(thm)],[1918, 2])).
% 1.66/1.88 tff(1920,plain,
% 1.66/1.88 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.88 inference(unit_resolution,[status(thm)],[1517, 1919, 2])).
% 1.66/1.88 tff(1921,plain,
% 1.66/1.88 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.88 inference(unit_resolution,[status(thm)],[1556, 1919, 2, 1920])).
% 1.66/1.88 tff(1922,plain,
% 1.66/1.88 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.88 inference(unit_resolution,[status(thm)],[1745, 1919, 1888, 1921])).
% 1.66/1.88 tff(1923,plain,
% 1.66/1.88 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.88 inference(unit_resolution,[status(thm)],[690, 1922, 1888, 2])).
% 1.66/1.88 tff(1924,plain,
% 1.66/1.88 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.88 inference(unit_resolution,[status(thm)],[1150, 1920, 1533, 1876])).
% 1.66/1.88 tff(1925,plain,
% 1.66/1.88 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(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)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.88 inference(rewrite,[status(thm)],[])).
% 1.66/1.88 tff(1926,plain,
% 1.66/1.88 (((~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)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.88 inference(rewrite,[status(thm)],[])).
% 1.66/1.88 tff(1927,plain,
% 1.66/1.88 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(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)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(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)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.66/1.88 inference(monotonicity,[status(thm)],[1926])).
% 1.66/1.88 tff(1928,plain,
% 1.66/1.88 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(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)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(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)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.88 inference(transitivity,[status(thm)],[1927, 1925])).
% 1.66/1.88 tff(1929,plain,
% 1.66/1.88 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(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)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.88 inference(quant_inst,[status(thm)],[])).
% 1.66/1.88 tff(1930,plain,
% 1.66/1.88 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv2(W) | (~ssPv1(X)) | (~ssPv1(V)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.88 inference(modus_ponens,[status(thm)],[1929, 1928])).
% 1.66/1.88 tff(1931,plain,
% 1.66/1.88 ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.88 inference(unit_resolution,[status(thm)],[1930, 1824, 150, 419])).
% 1.66/1.88 tff(1932,plain,
% 1.66/1.88 (ssPv2(skf1(skf1(elem!0)))),
% 1.66/1.88 inference(unit_resolution,[status(thm)],[1931, 1920, 1876, 1919])).
% 1.66/1.88 tff(1933,plain,
% 1.66/1.88 (~ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.66/1.88 inference(unit_resolution,[status(thm)],[1916, 1932, 1924])).
% 1.66/1.88 tff(1934,plain,
% 1.66/1.88 ($false),
% 1.66/1.88 inference(unit_resolution,[status(thm)],[1754, 1933, 1923, 1888, 2])).
% 1.66/1.88 tff(1935,plain,(ssPv4(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.66/1.88 tff(1936,plain,
% 1.66/1.88 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.88 inference(unit_resolution,[status(thm)],[734, 1935, 1896, 1888])).
% 1.66/1.88 tff(1937,plain,
% 1.66/1.88 (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.88 inference(unit_resolution,[status(thm)],[567, 1936, 1896, 1888])).
% 1.66/1.88 tff(1938,plain,
% 1.66/1.88 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~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] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~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)))))))),
% 1.66/1.88 inference(rewrite,[status(thm)],[])).
% 1.66/1.88 tff(1939,plain,
% 1.66/1.88 ((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))))))) | (~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))))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~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)))))))),
% 1.66/1.88 inference(rewrite,[status(thm)],[])).
% 1.66/1.88 tff(1940,plain,
% 1.66/1.88 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~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))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~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))))))))),
% 1.66/1.89 inference(monotonicity,[status(thm)],[1939])).
% 1.66/1.89 tff(1941,plain,
% 1.66/1.89 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~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))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~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)))))))),
% 1.66/1.89 inference(transitivity,[status(thm)],[1940, 1938])).
% 1.66/1.89 tff(1942,plain,
% 1.66/1.89 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~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))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.89 inference(quant_inst,[status(thm)],[])).
% 1.66/1.89 tff(1943,plain,
% 1.66/1.89 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.89 inference(modus_ponens,[status(thm)],[1942, 1941])).
% 1.66/1.89 tff(1944,plain,
% 1.66/1.89 ((~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.66/1.89 inference(unit_resolution,[status(thm)],[1943, 1231, 419, 447])).
% 1.66/1.89 tff(1945,plain,
% 1.66/1.89 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.89 inference(unit_resolution,[status(thm)],[1944, 1937, 1935, 1936])).
% 1.66/1.89 tff(1946,plain,
% 1.66/1.89 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.66/1.89 inference(unit_resolution,[status(thm)],[742, 1945, 1936, 1896])).
% 1.66/1.89 tff(1947,plain,
% 1.66/1.89 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.89 inference(unit_resolution,[status(thm)],[750, 1935, 1876, 1896])).
% 1.66/1.89 tff(1948,plain,
% 1.66/1.89 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.66/1.89 inference(unit_resolution,[status(thm)],[1150, 1945, 1533, 1876])).
% 1.66/1.89 tff(1949,plain,
% 1.66/1.89 ($false),
% 1.66/1.89 inference(unit_resolution,[status(thm)],[785, 1948, 1945, 1947, 1946])).
% 1.66/1.89 % SZS output end Proof
% 1.66/1.89 % E exiting
%------------------------------------------------------------------------------