TSTP Solution File: SYN759-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN759-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 23:57:13 EDT 2022
% Result : Unsatisfiable 1.22s 1.03s
% Output : Proof 1.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN759-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Sep 5 07:33:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 1.22/1.03 % SZS status Unsatisfiable
% 1.22/1.03 % SZS output start Proof
% 1.22/1.03 tff(ssPv4_type, type, (
% 1.22/1.03 ssPv4: $i > $o)).
% 1.22/1.03 tff(skf1_type, type, (
% 1.22/1.03 skf1: $i > $i)).
% 1.22/1.03 tff(elem_0_type, type, (
% 1.22/1.03 elem_0: $i)).
% 1.22/1.03 tff(ssPv2_type, type, (
% 1.22/1.03 ssPv2: $i > $o)).
% 1.22/1.03 tff(ssPv3_type, type, (
% 1.22/1.03 ssPv3: $i > $o)).
% 1.22/1.03 tff(ssPv1_type, type, (
% 1.22/1.03 ssPv1: $i > $o)).
% 1.22/1.03 tff(ssRr_type, type, (
% 1.22/1.03 ssRr: ( $i * $i ) > $o)).
% 1.22/1.03 tff(1,assumption,(~ssPv3(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.22/1.03 tff(2,assumption,(~ssPv2(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.22/1.03 tff(3,assumption,(~ssPv3(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.22/1.03 tff(4,assumption,(~ssPv2(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.22/1.03 tff(5,assumption,(~ssPv3(skf1(elem!0))), introduced(assumption)).
% 1.22/1.03 tff(6,assumption,(~ssPv1(skf1(elem!0))), introduced(assumption)).
% 1.22/1.03 tff(7,plain,
% 1.22/1.03 (^[U: $i] : refl(ssRr(U, skf1(U)) <=> ssRr(U, skf1(U)))),
% 1.22/1.03 inference(bind,[status(th)],[])).
% 1.22/1.03 tff(8,plain,
% 1.22/1.03 (![U: $i] : ssRr(U, skf1(U)) <=> ![U: $i] : ssRr(U, skf1(U))),
% 1.22/1.03 inference(quant_intro,[status(thm)],[7])).
% 1.22/1.03 tff(9,plain,
% 1.22/1.03 (![U: $i] : ssRr(U, skf1(U)) <=> ![U: $i] : ssRr(U, skf1(U))),
% 1.22/1.03 inference(rewrite,[status(thm)],[])).
% 1.22/1.03 tff(10,axiom,(![U: $i] : ssRr(U, skf1(U))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause1')).
% 1.22/1.03 tff(11,plain,
% 1.22/1.03 (![U: $i] : ssRr(U, skf1(U))),
% 1.22/1.03 inference(modus_ponens,[status(thm)],[10, 9])).
% 1.22/1.03 tff(12,plain,(
% 1.22/1.03 ![U: $i] : ssRr(U, skf1(U))),
% 1.22/1.03 inference(skolemize,[status(sab)],[11])).
% 1.22/1.03 tff(13,plain,
% 1.22/1.03 (![U: $i] : ssRr(U, skf1(U))),
% 1.22/1.03 inference(modus_ponens,[status(thm)],[12, 8])).
% 1.22/1.03 tff(14,plain,
% 1.22/1.03 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(elem!0), skf1(skf1(elem!0)))),
% 1.22/1.03 inference(quant_inst,[status(thm)],[])).
% 1.22/1.03 tff(15,plain,
% 1.22/1.03 (ssRr(skf1(elem!0), skf1(skf1(elem!0)))),
% 1.22/1.03 inference(unit_resolution,[status(thm)],[14, 13])).
% 1.22/1.03 tff(16,plain,
% 1.22/1.03 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(elem!0, skf1(elem!0))),
% 1.22/1.03 inference(quant_inst,[status(thm)],[])).
% 1.22/1.03 tff(17,plain,
% 1.22/1.03 (ssRr(elem!0, skf1(elem!0))),
% 1.22/1.03 inference(unit_resolution,[status(thm)],[16, 13])).
% 1.22/1.03 tff(18,plain,
% 1.22/1.03 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.22/1.03 inference(bind,[status(th)],[])).
% 1.22/1.03 tff(19,plain,
% 1.22/1.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.22/1.03 inference(quant_intro,[status(thm)],[18])).
% 1.22/1.03 tff(20,plain,
% 1.22/1.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.22/1.03 inference(rewrite,[status(thm)],[])).
% 1.22/1.03 tff(21,plain,
% 1.22/1.03 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv3(V)) <=> (((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(V)))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(V)) <=> (ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv3(V)) <=> (ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv3(V)) | ssPv2(Y)) <=> ((ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Y)))), rewrite(((ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Y)) <=> (ssPv2(Y) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv3(V)) | ssPv2(Y)) <=> (ssPv2(Y) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv3(V)) | ssPv2(Y)) | ssPv1(Z)) <=> ((ssPv2(Y) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Z)))), rewrite(((ssPv2(Y) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Z)) <=> (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv3(V)) | ssPv2(Y)) | ssPv1(Z)) <=> (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv3(V)) | ssPv2(Y)) | ssPv1(Z)) | ssPv4(W)) <=> ((ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)))), rewrite(((ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)) <=> (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv3(V)) | ssPv2(Y)) | ssPv1(Z)) | ssPv4(W)) <=> (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.22/1.03 inference(bind,[status(th)],[])).
% 1.22/1.03 tff(22,plain,
% 1.22/1.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv3(V)) | ssPv2(Y)) | ssPv1(Z)) | ssPv4(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.22/1.03 inference(quant_intro,[status(thm)],[21])).
% 1.22/1.03 tff(23,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv3(V)) | ssPv2(Y)) | ssPv1(Z)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause30')).
% 1.22/1.03 tff(24,plain,
% 1.22/1.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.22/1.03 inference(modus_ponens,[status(thm)],[23, 22])).
% 1.22/1.03 tff(25,plain,
% 1.22/1.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.22/1.03 inference(modus_ponens,[status(thm)],[24, 20])).
% 1.22/1.03 tff(26,plain,(
% 1.22/1.03 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.22/1.03 inference(skolemize,[status(sab)],[25])).
% 1.22/1.03 tff(27,plain,
% 1.22/1.03 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.22/1.03 inference(modus_ponens,[status(thm)],[26, 19])).
% 1.22/1.03 tff(28,plain,
% 1.22/1.03 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.22/1.03 inference(rewrite,[status(thm)],[])).
% 1.22/1.03 tff(29,plain,
% 1.22/1.03 ((ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> (ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.22/1.03 inference(rewrite,[status(thm)],[])).
% 1.22/1.03 tff(30,plain,
% 1.22/1.03 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0)))))),
% 1.22/1.03 inference(monotonicity,[status(thm)],[29])).
% 1.22/1.03 tff(31,plain,
% 1.22/1.03 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.22/1.03 inference(transitivity,[status(thm)],[30, 28])).
% 1.22/1.03 tff(32,plain,
% 1.22/1.03 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.22/1.04 inference(quant_inst,[status(thm)],[])).
% 1.22/1.04 tff(33,plain,
% 1.22/1.04 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0)))),
% 1.22/1.04 inference(modus_ponens,[status(thm)],[32, 31])).
% 1.22/1.04 tff(34,plain,
% 1.22/1.04 (ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0)))),
% 1.22/1.04 inference(unit_resolution,[status(thm)],[33, 27, 17, 15])).
% 1.22/1.04 tff(35,plain,
% 1.22/1.04 (ssPv4(elem!0)),
% 1.22/1.04 inference(unit_resolution,[status(thm)],[34, 6, 4, 3])).
% 1.22/1.04 tff(36,plain,
% 1.22/1.04 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))),
% 1.22/1.04 inference(quant_inst,[status(thm)],[])).
% 1.22/1.04 tff(37,plain,
% 1.22/1.04 (ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))),
% 1.22/1.04 inference(unit_resolution,[status(thm)],[36, 13])).
% 1.22/1.04 tff(38,plain,
% 1.22/1.04 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) <=> (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))),
% 1.22/1.04 inference(bind,[status(th)],[])).
% 1.22/1.04 tff(39,plain,
% 1.22/1.04 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.22/1.04 inference(quant_intro,[status(thm)],[38])).
% 1.22/1.04 tff(40,plain,
% 1.22/1.04 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.22/1.04 inference(rewrite,[status(thm)],[])).
% 1.22/1.04 tff(41,plain,
% 1.22/1.04 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv1(V))) <=> ((~ssPv1(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> (((~ssPv1(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv1(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> ((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) <=> (((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))))), rewrite((((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))) <=> ((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) <=> ((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | ssPv3(X)) <=> (((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv3(X)))), rewrite((((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv3(X)) <=> (ssPv3(X) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | ssPv3(X)) <=> (ssPv3(X) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | ssPv3(X)) | ssPv2(Y)) <=> ((ssPv3(X) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(Y)))), rewrite(((ssPv3(X) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(Y)) <=> (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | ssPv3(X)) | ssPv2(Y)) <=> (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | ssPv3(X)) | ssPv2(Y)) | ssPv1(W)) <=> ((ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv1(W)))), rewrite(((ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv1(W)) <=> (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | ssPv3(X)) | ssPv2(Y)) | ssPv1(W)) <=> (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))))),
% 1.22/1.04 inference(bind,[status(th)],[])).
% 1.22/1.04 tff(42,plain,
% 1.22/1.04 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | ssPv3(X)) | ssPv2(Y)) | ssPv1(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.22/1.04 inference(quant_intro,[status(thm)],[41])).
% 1.22/1.04 tff(43,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssRr(W, Y))) | ssPv3(X)) | ssPv2(Y)) | ssPv1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause13')).
% 1.22/1.04 tff(44,plain,
% 1.22/1.04 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.22/1.04 inference(modus_ponens,[status(thm)],[43, 42])).
% 1.22/1.04 tff(45,plain,
% 1.22/1.04 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.22/1.04 inference(modus_ponens,[status(thm)],[44, 40])).
% 1.22/1.04 tff(46,plain,(
% 1.22/1.04 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.22/1.04 inference(skolemize,[status(sab)],[45])).
% 1.22/1.04 tff(47,plain,
% 1.22/1.04 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.22/1.04 inference(modus_ponens,[status(thm)],[46, 39])).
% 1.22/1.04 tff(48,plain,
% 1.22/1.04 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.22/1.04 inference(rewrite,[status(thm)],[])).
% 1.22/1.04 tff(49,plain,
% 1.22/1.04 ((ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.22/1.04 inference(rewrite,[status(thm)],[])).
% 1.22/1.04 tff(50,plain,
% 1.22/1.04 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))))),
% 1.22/1.04 inference(monotonicity,[status(thm)],[49])).
% 1.22/1.04 tff(51,plain,
% 1.22/1.04 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.22/1.04 inference(transitivity,[status(thm)],[50, 48])).
% 1.22/1.04 tff(52,plain,
% 1.22/1.04 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.22/1.04 inference(quant_inst,[status(thm)],[])).
% 1.22/1.04 tff(53,plain,
% 1.22/1.04 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.22/1.04 inference(modus_ponens,[status(thm)],[52, 51])).
% 1.22/1.04 tff(54,plain,
% 1.22/1.04 (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.22/1.04 inference(unit_resolution,[status(thm)],[53, 47, 15, 37])).
% 1.22/1.04 tff(55,plain,
% 1.22/1.04 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.22/1.04 inference(unit_resolution,[status(thm)],[54, 6, 4, 3])).
% 1.22/1.04 tff(56,assumption,(ssPv4(elem!0)), introduced(assumption)).
% 1.22/1.04 tff(57,assumption,(~ssPv1(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.22/1.04 tff(58,plain,
% 1.22/1.04 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.22/1.04 inference(bind,[status(th)],[])).
% 1.22/1.04 tff(59,plain,
% 1.22/1.04 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.22/1.04 inference(quant_intro,[status(thm)],[58])).
% 1.22/1.04 tff(60,plain,
% 1.22/1.04 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.22/1.04 inference(rewrite,[status(thm)],[])).
% 1.22/1.04 tff(61,plain,
% 1.22/1.04 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv1(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(V)) <=> (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv1(V)) <=> (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv1(V)) | ssPv2(X)) <=> ((ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(X)))), rewrite(((ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(X)) <=> (ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv1(V)) | ssPv2(X)) <=> (ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv1(V)) | ssPv2(X)) | ssPv2(W)) <=> ((ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)))), rewrite(((ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)) <=> (ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv1(V)) | ssPv2(X)) | ssPv2(W)) <=> (ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv1(V)) | ssPv2(X)) | ssPv2(W)) | ssPv3(W)) <=> ((ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)))), rewrite(((ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)) <=> (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv1(V)) | ssPv2(X)) | ssPv2(W)) | ssPv3(W)) <=> (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.22/1.04 inference(bind,[status(th)],[])).
% 1.22/1.04 tff(62,plain,
% 1.22/1.04 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv1(V)) | ssPv2(X)) | ssPv2(W)) | ssPv3(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.22/1.04 inference(quant_intro,[status(thm)],[61])).
% 1.22/1.04 tff(63,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | ssPv1(V)) | ssPv2(X)) | ssPv2(W)) | ssPv3(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause2')).
% 1.22/1.04 tff(64,plain,
% 1.22/1.04 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.22/1.04 inference(modus_ponens,[status(thm)],[63, 62])).
% 1.22/1.04 tff(65,plain,
% 1.22/1.04 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.22/1.04 inference(modus_ponens,[status(thm)],[64, 60])).
% 1.22/1.04 tff(66,plain,(
% 1.22/1.04 ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.22/1.04 inference(skolemize,[status(sab)],[65])).
% 1.22/1.04 tff(67,plain,
% 1.22/1.04 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.22/1.04 inference(modus_ponens,[status(thm)],[66, 59])).
% 1.22/1.04 tff(68,plain,
% 1.22/1.04 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.22/1.04 inference(rewrite,[status(thm)],[])).
% 1.22/1.04 tff(69,plain,
% 1.22/1.04 ((ssPv3(skf1(elem!0)) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.22/1.04 inference(rewrite,[status(thm)],[])).
% 1.22/1.04 tff(70,plain,
% 1.22/1.04 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(elem!0)) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.22/1.04 inference(monotonicity,[status(thm)],[69])).
% 1.22/1.04 tff(71,plain,
% 1.22/1.04 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(elem!0)) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.22/1.04 inference(transitivity,[status(thm)],[70, 68])).
% 1.22/1.04 tff(72,plain,
% 1.22/1.04 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(elem!0)) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.22/1.04 inference(quant_inst,[status(thm)],[])).
% 1.22/1.04 tff(73,plain,
% 1.22/1.04 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.22/1.04 inference(modus_ponens,[status(thm)],[72, 71])).
% 1.22/1.04 tff(74,plain,
% 1.22/1.04 (ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.22/1.04 inference(unit_resolution,[status(thm)],[73, 67, 15, 37])).
% 1.22/1.04 tff(75,plain,
% 1.22/1.04 (ssPv2(skf1(elem!0))),
% 1.22/1.04 inference(unit_resolution,[status(thm)],[74, 5, 4, 57])).
% 1.22/1.04 tff(76,plain,
% 1.22/1.04 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))) <=> (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))))),
% 1.22/1.04 inference(bind,[status(th)],[])).
% 1.22/1.04 tff(77,plain,
% 1.22/1.04 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))),
% 1.22/1.04 inference(quant_intro,[status(thm)],[76])).
% 1.22/1.04 tff(78,plain,
% 1.22/1.04 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))),
% 1.22/1.04 inference(rewrite,[status(thm)],[])).
% 1.22/1.04 tff(79,plain,
% 1.22/1.04 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(X))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) <=> (((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))))), rewrite((((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) <=> (((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv4(W))))), rewrite((((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv4(W))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) | ssPv3(V)) <=> (((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))) | ssPv3(V)))), rewrite((((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) | ssPv3(V)) | ssPv3(Y)) <=> ((ssPv3(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))) | ssPv3(Y)))), rewrite(((ssPv3(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W))) | ssPv3(Y)) <=> (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) | ssPv3(V)) | ssPv3(Y)) <=> (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))))),
% 1.22/1.04 inference(bind,[status(th)],[])).
% 1.22/1.04 tff(80,plain,
% 1.22/1.04 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) | ssPv3(V)) | ssPv3(Y)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))),
% 1.22/1.04 inference(quant_intro,[status(thm)],[79])).
% 1.22/1.04 tff(81,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv4(W))) | ssPv3(V)) | ssPv3(Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause17')).
% 1.22/1.04 tff(82,plain,
% 1.22/1.04 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))),
% 1.22/1.04 inference(modus_ponens,[status(thm)],[81, 80])).
% 1.22/1.04 tff(83,plain,
% 1.22/1.04 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))),
% 1.22/1.04 inference(modus_ponens,[status(thm)],[82, 78])).
% 1.22/1.04 tff(84,plain,(
% 1.22/1.04 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))),
% 1.22/1.04 inference(skolemize,[status(sab)],[83])).
% 1.22/1.04 tff(85,plain,
% 1.22/1.04 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))),
% 1.22/1.04 inference(modus_ponens,[status(thm)],[84, 77])).
% 1.22/1.04 tff(86,plain,
% 1.22/1.04 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv4(elem!0)))),
% 1.22/1.04 inference(rewrite,[status(thm)],[])).
% 1.22/1.04 tff(87,plain,
% 1.22/1.04 ((ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0))) <=> (ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv4(elem!0)))),
% 1.22/1.04 inference(rewrite,[status(thm)],[])).
% 1.22/1.04 tff(88,plain,
% 1.22/1.04 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv4(elem!0))))),
% 1.22/1.04 inference(monotonicity,[status(thm)],[87])).
% 1.22/1.04 tff(89,plain,
% 1.22/1.04 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv4(elem!0)))),
% 1.22/1.04 inference(transitivity,[status(thm)],[88, 86])).
% 1.22/1.04 tff(90,plain,
% 1.22/1.04 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv4(elem!0)))),
% 1.22/1.04 inference(quant_inst,[status(thm)],[])).
% 1.22/1.04 tff(91,plain,
% 1.22/1.04 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv4(elem!0))),
% 1.22/1.04 inference(modus_ponens,[status(thm)],[90, 89])).
% 1.22/1.04 tff(92,plain,
% 1.22/1.04 (ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssPv4(elem!0))),
% 1.22/1.04 inference(unit_resolution,[status(thm)],[91, 85, 17, 15])).
% 1.22/1.04 tff(93,plain,
% 1.22/1.04 ($false),
% 1.22/1.04 inference(unit_resolution,[status(thm)],[92, 75, 5, 3, 56])).
% 1.22/1.04 tff(94,plain,(ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(elem!0)) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.22/1.04 tff(95,plain,
% 1.22/1.04 ($false),
% 1.22/1.04 inference(unit_resolution,[status(thm)],[94, 55, 35, 5, 4, 3])).
% 1.22/1.04 tff(96,plain,(ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.22/1.04 tff(97,plain,
% 1.22/1.04 (ssPv1(skf1(elem!0))),
% 1.22/1.04 inference(unit_resolution,[status(thm)],[96, 4, 5, 3])).
% 1.22/1.04 tff(98,plain,
% 1.22/1.04 (~ssPv2(skf1(elem!0))),
% 1.22/1.04 inference(unit_resolution,[status(thm)],[92, 5, 3, 56])).
% 1.22/1.04 tff(99,plain,
% 1.22/1.04 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.22/1.04 inference(unit_resolution,[status(thm)],[94, 5, 56, 4, 3])).
% 1.22/1.04 tff(100,assumption,(ssPv1(skf1(elem!0))), introduced(assumption)).
% 1.22/1.04 tff(101,plain,
% 1.22/1.04 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W))) <=> (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W))))),
% 1.22/1.04 inference(bind,[status(th)],[])).
% 1.22/1.04 tff(102,plain,
% 1.22/1.04 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))),
% 1.22/1.04 inference(quant_intro,[status(thm)],[101])).
% 1.22/1.04 tff(103,plain,
% 1.22/1.04 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))),
% 1.22/1.04 inference(rewrite,[status(thm)],[])).
% 1.22/1.04 tff(104,plain,
% 1.22/1.04 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssPv3(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Y))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(W))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | (~ssPv1(W))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | (~ssPv1(W))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(W))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W))))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv3(Z)) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W))) | ssPv3(Z)))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W))) | ssPv3(Z)) <=> (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv3(Z)) <=> (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))))),
% 1.22/1.04 inference(bind,[status(th)],[])).
% 1.22/1.04 tff(105,plain,
% 1.22/1.04 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv3(Z)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))),
% 1.22/1.05 inference(quant_intro,[status(thm)],[104])).
% 1.22/1.05 tff(106,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(W))) | ssPv3(Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause44')).
% 1.22/1.05 tff(107,plain,
% 1.22/1.05 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))),
% 1.22/1.05 inference(modus_ponens,[status(thm)],[106, 105])).
% 1.22/1.05 tff(108,plain,
% 1.22/1.05 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))),
% 1.22/1.05 inference(modus_ponens,[status(thm)],[107, 103])).
% 1.22/1.05 tff(109,plain,(
% 1.22/1.05 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))),
% 1.22/1.05 inference(skolemize,[status(sab)],[108])).
% 1.22/1.05 tff(110,plain,
% 1.22/1.05 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))),
% 1.22/1.05 inference(modus_ponens,[status(thm)],[109, 102])).
% 1.22/1.05 tff(111,plain,
% 1.22/1.05 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.22/1.05 inference(rewrite,[status(thm)],[])).
% 1.22/1.05 tff(112,plain,
% 1.22/1.05 ((ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0)))) <=> (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.22/1.05 inference(rewrite,[status(thm)],[])).
% 1.22/1.05 tff(113,plain,
% 1.22/1.05 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))))),
% 1.22/1.05 inference(monotonicity,[status(thm)],[112])).
% 1.22/1.05 tff(114,plain,
% 1.22/1.05 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.22/1.05 inference(transitivity,[status(thm)],[113, 111])).
% 1.22/1.05 tff(115,plain,
% 1.22/1.05 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(elem!0))))),
% 1.22/1.05 inference(quant_inst,[status(thm)],[])).
% 1.22/1.05 tff(116,plain,
% 1.22/1.05 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.22/1.05 inference(modus_ponens,[status(thm)],[115, 114])).
% 1.22/1.05 tff(117,plain,
% 1.22/1.05 (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.22/1.05 inference(unit_resolution,[status(thm)],[116, 110, 15, 37])).
% 1.22/1.05 tff(118,plain,
% 1.22/1.05 (~ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.22/1.05 inference(unit_resolution,[status(thm)],[117, 99, 3, 100])).
% 1.22/1.05 tff(119,plain,
% 1.22/1.05 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.22/1.05 inference(bind,[status(th)],[])).
% 1.22/1.05 tff(120,plain,
% 1.22/1.05 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.22/1.05 inference(quant_intro,[status(thm)],[119])).
% 1.22/1.05 tff(121,plain,
% 1.22/1.05 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.22/1.05 inference(rewrite,[status(thm)],[])).
% 1.22/1.05 tff(122,plain,
% 1.22/1.05 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> (((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))) <=> ((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> ((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(V)) <=> (((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(V)))), rewrite((((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(V)) <=> (ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(Y)) <=> ((ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Y)))), rewrite(((ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Y)) <=> (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(Y)) <=> (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(Y)) | ssPv3(W)) <=> ((ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)))), rewrite(((ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)) <=> (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(Y)) | ssPv3(W)) <=> (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.22/1.05 inference(bind,[status(th)],[])).
% 1.22/1.05 tff(123,plain,
% 1.22/1.05 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(Y)) | ssPv3(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.22/1.05 inference(quant_intro,[status(thm)],[122])).
% 1.22/1.05 tff(124,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(Y)) | ssPv3(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause11')).
% 1.22/1.05 tff(125,plain,
% 1.22/1.05 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.22/1.05 inference(modus_ponens,[status(thm)],[124, 123])).
% 1.22/1.05 tff(126,plain,
% 1.22/1.05 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.22/1.05 inference(modus_ponens,[status(thm)],[125, 121])).
% 1.22/1.05 tff(127,plain,(
% 1.22/1.05 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.22/1.05 inference(skolemize,[status(sab)],[126])).
% 1.22/1.05 tff(128,plain,
% 1.22/1.05 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.22/1.05 inference(modus_ponens,[status(thm)],[127, 120])).
% 1.22/1.05 tff(129,plain,
% 1.22/1.05 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.22/1.05 inference(rewrite,[status(thm)],[])).
% 1.22/1.05 tff(130,plain,
% 1.22/1.05 ((ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.22/1.05 inference(rewrite,[status(thm)],[])).
% 1.22/1.05 tff(131,plain,
% 1.22/1.05 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.22/1.05 inference(monotonicity,[status(thm)],[130])).
% 1.22/1.05 tff(132,plain,
% 1.22/1.05 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.22/1.05 inference(transitivity,[status(thm)],[131, 129])).
% 1.22/1.05 tff(133,plain,
% 1.22/1.05 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.22/1.05 inference(quant_inst,[status(thm)],[])).
% 1.22/1.05 tff(134,plain,
% 1.22/1.05 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.22/1.05 inference(modus_ponens,[status(thm)],[133, 132])).
% 1.22/1.05 tff(135,plain,
% 1.22/1.05 ((~ssPv1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.22/1.05 inference(unit_resolution,[status(thm)],[134, 128, 15, 37])).
% 1.22/1.05 tff(136,plain,
% 1.22/1.05 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.22/1.05 inference(unit_resolution,[status(thm)],[135, 118, 100, 5])).
% 1.22/1.05 tff(137,plain,
% 1.22/1.05 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X))) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X))))),
% 1.22/1.05 inference(bind,[status(th)],[])).
% 1.22/1.05 tff(138,plain,
% 1.22/1.05 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))),
% 1.22/1.05 inference(quant_intro,[status(thm)],[137])).
% 1.22/1.05 tff(139,plain,
% 1.22/1.05 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))),
% 1.22/1.05 inference(rewrite,[status(thm)],[])).
% 1.22/1.05 tff(140,plain,
% 1.22/1.05 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv1(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X))) | (~ssPv1(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(X))) | (~ssPv1(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(X)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv1(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(X))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv1(W))) | ssPv3(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(X))) | ssPv3(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(W)) | (~ssPv4(X))) | ssPv3(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv1(W))) | ssPv3(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(W)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X))) | ssPv2(W)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X))) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))))),
% 1.22/1.05 inference(bind,[status(th)],[])).
% 1.22/1.05 tff(141,plain,
% 1.22/1.05 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))),
% 1.22/1.05 inference(quant_intro,[status(thm)],[140])).
% 1.22/1.05 tff(142,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssPv1(W))) | ssPv3(V)) | ssPv2(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause7')).
% 1.22/1.05 tff(143,plain,
% 1.22/1.05 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))),
% 1.22/1.05 inference(modus_ponens,[status(thm)],[142, 141])).
% 1.22/1.05 tff(144,plain,
% 1.22/1.05 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))),
% 1.22/1.05 inference(modus_ponens,[status(thm)],[143, 139])).
% 1.22/1.05 tff(145,plain,(
% 1.22/1.05 ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))),
% 1.22/1.05 inference(skolemize,[status(sab)],[144])).
% 1.22/1.05 tff(146,plain,
% 1.22/1.05 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))),
% 1.22/1.05 inference(modus_ponens,[status(thm)],[145, 138])).
% 1.22/1.05 tff(147,plain,
% 1.22/1.05 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.22/1.05 inference(rewrite,[status(thm)],[])).
% 1.22/1.05 tff(148,plain,
% 1.22/1.05 ((ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0))))) <=> (ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.22/1.05 inference(rewrite,[status(thm)],[])).
% 1.22/1.05 tff(149,plain,
% 1.22/1.05 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.22/1.05 inference(monotonicity,[status(thm)],[148])).
% 1.22/1.05 tff(150,plain,
% 1.22/1.05 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.22/1.05 inference(transitivity,[status(thm)],[149, 147])).
% 1.22/1.05 tff(151,plain,
% 1.22/1.05 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.22/1.05 inference(quant_inst,[status(thm)],[])).
% 1.22/1.05 tff(152,plain,
% 1.22/1.05 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.22/1.05 inference(modus_ponens,[status(thm)],[151, 150])).
% 1.22/1.05 tff(153,plain,
% 1.22/1.05 (ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.22/1.05 inference(unit_resolution,[status(thm)],[152, 146, 15, 37])).
% 1.22/1.05 tff(154,plain,
% 1.22/1.05 (~ssPv4(skf1(skf1(elem!0)))),
% 1.22/1.05 inference(unit_resolution,[status(thm)],[153, 118, 100, 98])).
% 1.22/1.05 tff(155,plain,
% 1.22/1.05 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y))) <=> (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y))))),
% 1.22/1.05 inference(bind,[status(th)],[])).
% 1.22/1.05 tff(156,plain,
% 1.22/1.05 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))),
% 1.22/1.05 inference(quant_intro,[status(thm)],[155])).
% 1.22/1.05 tff(157,plain,
% 1.22/1.05 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))),
% 1.22/1.05 inference(rewrite,[status(thm)],[])).
% 1.22/1.05 tff(158,plain,
% 1.22/1.05 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv2(V))) <=> ((~ssPv2(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> (((~ssPv2(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv2(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) <=> (((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Y))))), rewrite((((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Y))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) <=> (((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | ssPv4(Z)))), rewrite((((~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | ssPv4(Z)) <=> (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) <=> (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))))), ((((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) | ssPv2(W)) <=> ((ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | ssPv2(W)))), rewrite(((ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y))) | ssPv2(W)) <=> (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))), ((((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) | ssPv2(W)) <=> (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))))),
% 1.22/1.05 inference(bind,[status(th)],[])).
% 1.22/1.05 tff(159,plain,
% 1.22/1.05 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) | ssPv2(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))),
% 1.22/1.05 inference(quant_intro,[status(thm)],[158])).
% 1.22/1.05 tff(160,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv1(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) | ssPv2(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause36')).
% 1.22/1.05 tff(161,plain,
% 1.22/1.05 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))),
% 1.22/1.05 inference(modus_ponens,[status(thm)],[160, 159])).
% 1.22/1.05 tff(162,plain,
% 1.22/1.05 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))),
% 1.22/1.05 inference(modus_ponens,[status(thm)],[161, 157])).
% 1.22/1.05 tff(163,plain,(
% 1.22/1.05 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))),
% 1.22/1.05 inference(skolemize,[status(sab)],[162])).
% 1.22/1.05 tff(164,plain,
% 1.22/1.05 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))),
% 1.22/1.05 inference(modus_ponens,[status(thm)],[163, 156])).
% 1.22/1.05 tff(165,plain,
% 1.22/1.05 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv2(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ssPv2(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.22/1.05 inference(rewrite,[status(thm)],[])).
% 1.22/1.05 tff(166,plain,
% 1.22/1.05 ((ssPv4(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))))) | ssPv2(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0)))))) <=> (ssPv2(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.22/1.05 inference(rewrite,[status(thm)],[])).
% 1.22/1.05 tff(167,plain,
% 1.22/1.05 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(skf1(skf1(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))))) | ssPv2(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv2(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))))),
% 1.22/1.05 inference(monotonicity,[status(thm)],[166])).
% 1.22/1.05 tff(168,plain,
% 1.22/1.05 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(skf1(skf1(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))))) | ssPv2(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ssPv2(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.22/1.06 inference(transitivity,[status(thm)],[167, 165])).
% 1.22/1.06 tff(169,plain,
% 1.22/1.06 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(skf1(skf1(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))))) | ssPv2(skf1(elem!0)) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.22/1.06 inference(quant_inst,[status(thm)],[])).
% 1.22/1.06 tff(170,plain,
% 1.22/1.06 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ssPv2(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.22/1.06 inference(modus_ponens,[status(thm)],[169, 168])).
% 1.22/1.06 tff(171,plain,
% 1.22/1.06 (ssPv2(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.22/1.06 inference(unit_resolution,[status(thm)],[170, 164, 15, 37])).
% 1.22/1.06 tff(172,plain,
% 1.22/1.06 ($false),
% 1.22/1.06 inference(unit_resolution,[status(thm)],[171, 154, 136, 99, 98])).
% 1.22/1.06 tff(173,plain,(ssPv3(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(elem!0)) | ssPv2(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.22/1.06 tff(174,plain,
% 1.22/1.06 (~ssPv4(elem!0)),
% 1.22/1.06 inference(unit_resolution,[status(thm)],[173, 97, 3, 5, 4])).
% 1.22/1.06 tff(175,plain,
% 1.22/1.06 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V)))),
% 1.22/1.06 inference(bind,[status(th)],[])).
% 1.22/1.06 tff(176,plain,
% 1.22/1.06 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))),
% 1.22/1.06 inference(quant_intro,[status(thm)],[175])).
% 1.22/1.06 tff(177,plain,
% 1.22/1.06 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))),
% 1.22/1.06 inference(rewrite,[status(thm)],[])).
% 1.22/1.06 tff(178,plain,
% 1.22/1.06 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv3(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv3(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv3(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv3(V))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv3(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv3(V)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv3(V)) | ssPv3(X)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv3(V)) | ssPv3(X)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv3(V)) | ssPv3(X)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv3(V)) | ssPv3(X)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv3(V)) | ssPv3(X)) | ssPv4(W)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V)) | ssPv4(W)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V)) | ssPv4(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv3(V)) | ssPv3(X)) | ssPv4(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))))),
% 1.22/1.06 inference(bind,[status(th)],[])).
% 1.22/1.06 tff(179,plain,
% 1.22/1.06 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv3(V)) | ssPv3(X)) | ssPv4(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))),
% 1.22/1.06 inference(quant_intro,[status(thm)],[178])).
% 1.22/1.06 tff(180,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv3(V)) | ssPv3(X)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause6')).
% 1.22/1.06 tff(181,plain,
% 1.22/1.06 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))),
% 1.22/1.06 inference(modus_ponens,[status(thm)],[180, 179])).
% 1.22/1.06 tff(182,plain,
% 1.22/1.06 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))),
% 1.22/1.06 inference(modus_ponens,[status(thm)],[181, 177])).
% 1.22/1.06 tff(183,plain,(
% 1.22/1.06 ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))),
% 1.22/1.06 inference(skolemize,[status(sab)],[182])).
% 1.22/1.06 tff(184,plain,
% 1.22/1.06 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))),
% 1.22/1.06 inference(modus_ponens,[status(thm)],[183, 176])).
% 1.22/1.06 tff(185,plain,
% 1.22/1.06 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | (ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)))),
% 1.22/1.06 inference(rewrite,[status(thm)],[])).
% 1.22/1.06 tff(186,plain,
% 1.22/1.06 (((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssPv3(elem!0)) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0)))) <=> (ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)))),
% 1.22/1.06 inference(rewrite,[status(thm)],[])).
% 1.22/1.06 tff(187,plain,
% 1.22/1.06 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssPv3(elem!0)) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | (ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0))))),
% 1.22/1.06 inference(monotonicity,[status(thm)],[186])).
% 1.22/1.06 tff(188,plain,
% 1.22/1.06 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssPv3(elem!0)) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)))),
% 1.22/1.06 inference(transitivity,[status(thm)],[187, 185])).
% 1.22/1.06 tff(189,plain,
% 1.22/1.06 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssPv3(elem!0)) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))))),
% 1.22/1.06 inference(quant_inst,[status(thm)],[])).
% 1.22/1.06 tff(190,plain,
% 1.22/1.06 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0))),
% 1.22/1.06 inference(modus_ponens,[status(thm)],[189, 188])).
% 1.22/1.06 tff(191,plain,
% 1.22/1.06 (ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv3(elem!0)) | ssPv3(skf1(elem!0))),
% 1.22/1.06 inference(unit_resolution,[status(thm)],[190, 184, 17, 15])).
% 1.22/1.06 tff(192,plain,
% 1.22/1.06 (~ssPv3(elem!0)),
% 1.22/1.06 inference(unit_resolution,[status(thm)],[191, 174, 3, 5])).
% 1.22/1.06 tff(193,plain,
% 1.22/1.06 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.22/1.06 inference(rewrite,[status(thm)],[])).
% 1.22/1.06 tff(194,plain,
% 1.22/1.06 ((ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> (ssPv3(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.22/1.06 inference(rewrite,[status(thm)],[])).
% 1.22/1.06 tff(195,plain,
% 1.22/1.06 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0)))))),
% 1.22/1.06 inference(monotonicity,[status(thm)],[194])).
% 1.22/1.06 tff(196,plain,
% 1.22/1.06 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.22/1.06 inference(transitivity,[status(thm)],[195, 193])).
% 1.22/1.06 tff(197,plain,
% 1.22/1.06 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.22/1.06 inference(quant_inst,[status(thm)],[])).
% 1.22/1.06 tff(198,plain,
% 1.22/1.06 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0)))),
% 1.22/1.06 inference(modus_ponens,[status(thm)],[197, 196])).
% 1.22/1.06 tff(199,plain,
% 1.22/1.06 (ssPv3(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssPv1(elem!0)) | ssPv2(skf1(skf1(elem!0)))),
% 1.22/1.06 inference(unit_resolution,[status(thm)],[198, 128, 17, 15])).
% 1.22/1.06 tff(200,plain,
% 1.22/1.06 (~ssPv1(elem!0)),
% 1.22/1.06 inference(unit_resolution,[status(thm)],[199, 192, 3, 4])).
% 1.22/1.06 tff(201,assumption,(~ssPv3(elem!0)), introduced(assumption)).
% 1.22/1.06 tff(202,plain,
% 1.22/1.06 (~ssPv1(elem!0)),
% 1.22/1.06 inference(unit_resolution,[status(thm)],[199, 3, 4, 201])).
% 1.22/1.06 tff(203,assumption,(~ssPv1(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.22/1.06 tff(204,assumption,(~ssPv4(elem!0)), introduced(assumption)).
% 1.22/1.06 tff(205,plain,
% 1.22/1.06 (ssPv1(skf1(elem!0))),
% 1.22/1.06 inference(unit_resolution,[status(thm)],[34, 204, 4, 3])).
% 1.22/1.06 tff(206,plain,
% 1.22/1.06 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X))) <=> (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X))))),
% 1.22/1.06 inference(bind,[status(th)],[])).
% 1.22/1.06 tff(207,plain,
% 1.22/1.06 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))),
% 1.22/1.06 inference(quant_intro,[status(thm)],[206])).
% 1.22/1.06 tff(208,plain,
% 1.22/1.06 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))),
% 1.22/1.06 inference(rewrite,[status(thm)],[])).
% 1.22/1.06 tff(209,plain,
% 1.22/1.06 (^[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(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X))) | ssPv1(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X))) | ssPv1(V)) <=> (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | ssPv1(V)) <=> (ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | ssPv1(V)) | ssPv3(W)) <=> ((ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X))) | ssPv3(W)))), rewrite(((ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X))) | ssPv3(W)) <=> (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | ssPv1(V)) | ssPv3(W)) <=> (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | ssPv1(V)) | ssPv3(W)) | ssPv4(W)) <=> ((ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X))) | ssPv4(W)))), rewrite(((ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X))) | ssPv4(W)) <=> (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | ssPv1(V)) | ssPv3(W)) | ssPv4(W)) <=> (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))))),
% 1.22/1.06 inference(bind,[status(th)],[])).
% 1.22/1.06 tff(210,plain,
% 1.22/1.06 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | ssPv1(V)) | ssPv3(W)) | ssPv4(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))),
% 1.22/1.06 inference(quant_intro,[status(thm)],[209])).
% 1.22/1.06 tff(211,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | ssPv1(V)) | ssPv3(W)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause3')).
% 1.22/1.06 tff(212,plain,
% 1.22/1.06 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))),
% 1.22/1.06 inference(modus_ponens,[status(thm)],[211, 210])).
% 1.22/1.06 tff(213,plain,
% 1.22/1.06 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))),
% 1.22/1.06 inference(modus_ponens,[status(thm)],[212, 208])).
% 1.22/1.06 tff(214,plain,(
% 1.22/1.06 ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))),
% 1.22/1.06 inference(skolemize,[status(sab)],[213])).
% 1.22/1.06 tff(215,plain,
% 1.22/1.06 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))),
% 1.22/1.06 inference(modus_ponens,[status(thm)],[214, 207])).
% 1.22/1.06 tff(216,plain,
% 1.22/1.06 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))) | (ssPv4(elem!0) | ssPv1(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))) | ssPv4(elem!0) | ssPv1(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.22/1.06 inference(rewrite,[status(thm)],[])).
% 1.22/1.06 tff(217,plain,
% 1.22/1.06 ((ssPv3(elem!0) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssPv1(skf1(elem!0)))) <=> (ssPv4(elem!0) | ssPv1(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.22/1.06 inference(rewrite,[status(thm)],[])).
% 1.22/1.06 tff(218,plain,
% 1.22/1.06 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))) | (ssPv3(elem!0) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))) | (ssPv4(elem!0) | ssPv1(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.31/1.06 inference(monotonicity,[status(thm)],[217])).
% 1.31/1.06 tff(219,plain,
% 1.31/1.06 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))) | (ssPv3(elem!0) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssPv1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))) | ssPv4(elem!0) | ssPv1(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.31/1.06 inference(transitivity,[status(thm)],[218, 216])).
% 1.31/1.06 tff(220,plain,
% 1.31/1.06 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))) | (ssPv3(elem!0) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssPv1(skf1(elem!0))))),
% 1.31/1.06 inference(quant_inst,[status(thm)],[])).
% 1.31/1.06 tff(221,plain,
% 1.31/1.06 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))) | ssPv4(elem!0) | ssPv1(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.31/1.06 inference(modus_ponens,[status(thm)],[220, 219])).
% 1.31/1.06 tff(222,plain,
% 1.31/1.06 (ssPv4(elem!0) | ssPv1(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssPv1(skf1(elem!0)))),
% 1.31/1.06 inference(unit_resolution,[status(thm)],[221, 215, 17, 15])).
% 1.31/1.06 tff(223,plain,
% 1.31/1.06 ($false),
% 1.31/1.06 inference(unit_resolution,[status(thm)],[222, 205, 204, 201, 203])).
% 1.31/1.06 tff(224,plain,(ssPv4(elem!0) | ssPv3(elem!0) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.31/1.06 tff(225,plain,
% 1.31/1.06 (ssPv4(elem!0)),
% 1.31/1.06 inference(unit_resolution,[status(thm)],[224, 203, 201, 4, 3])).
% 1.31/1.06 tff(226,plain,
% 1.31/1.06 (ssPv3(skf1(elem!0))),
% 1.31/1.06 inference(unit_resolution,[status(thm)],[94, 55, 56, 4, 3])).
% 1.31/1.06 tff(227,plain,
% 1.31/1.06 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) <=> (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))))),
% 1.31/1.06 inference(bind,[status(th)],[])).
% 1.31/1.06 tff(228,plain,
% 1.31/1.06 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.31/1.06 inference(quant_intro,[status(thm)],[227])).
% 1.31/1.06 tff(229,plain,
% 1.31/1.06 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.31/1.06 inference(rewrite,[status(thm)],[])).
% 1.31/1.06 tff(230,plain,
% 1.31/1.06 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(W))) <=> (((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(W))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(W))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(W))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(W))) | ssPv3(V)) <=> (((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv3(V)))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(W))) | ssPv3(V)) | ssPv1(Y)) <=> ((ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv1(Y)))), rewrite(((ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv1(Y)) <=> (ssPv1(Y) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(W))) | ssPv3(V)) | ssPv1(Y)) <=> (ssPv1(Y) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))))), ((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(W))) | ssPv3(V)) | ssPv1(Y)) | ssPv1(Z)) <=> ((ssPv1(Y) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv1(Z)))), rewrite(((ssPv1(Y) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv1(Z)) <=> (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))), ((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(W))) | ssPv3(V)) | ssPv1(Y)) | ssPv1(Z)) <=> (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))))),
% 1.31/1.06 inference(bind,[status(th)],[])).
% 1.31/1.06 tff(231,plain,
% 1.31/1.06 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(W))) | ssPv3(V)) | ssPv1(Y)) | ssPv1(Z)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.31/1.06 inference(quant_intro,[status(thm)],[230])).
% 1.31/1.06 tff(232,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(W))) | ssPv3(V)) | ssPv1(Y)) | ssPv1(Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause31')).
% 1.31/1.06 tff(233,plain,
% 1.31/1.06 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.31/1.06 inference(modus_ponens,[status(thm)],[232, 231])).
% 1.31/1.06 tff(234,plain,
% 1.31/1.06 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.31/1.06 inference(modus_ponens,[status(thm)],[233, 229])).
% 1.31/1.06 tff(235,plain,(
% 1.31/1.06 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.31/1.06 inference(skolemize,[status(sab)],[234])).
% 1.31/1.06 tff(236,plain,
% 1.31/1.06 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))),
% 1.31/1.06 inference(modus_ponens,[status(thm)],[235, 228])).
% 1.31/1.06 tff(237,plain,
% 1.31/1.06 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.06 inference(rewrite,[status(thm)],[])).
% 1.31/1.06 tff(238,plain,
% 1.31/1.06 ((ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(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)))) <=> (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.06 inference(rewrite,[status(thm)],[])).
% 1.31/1.06 tff(239,plain,
% 1.31/1.06 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(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] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.06 inference(monotonicity,[status(thm)],[238])).
% 1.31/1.06 tff(240,plain,
% 1.31/1.06 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(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] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.07 inference(transitivity,[status(thm)],[239, 237])).
% 1.31/1.07 tff(241,plain,
% 1.31/1.07 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(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))))),
% 1.31/1.07 inference(quant_inst,[status(thm)],[])).
% 1.31/1.07 tff(242,plain,
% 1.31/1.07 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.31/1.07 inference(modus_ponens,[status(thm)],[241, 240])).
% 1.31/1.07 tff(243,plain,
% 1.31/1.07 (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.31/1.07 inference(unit_resolution,[status(thm)],[242, 236, 15, 37])).
% 1.31/1.07 tff(244,plain,
% 1.31/1.07 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.31/1.07 inference(unit_resolution,[status(thm)],[243, 226, 203, 55])).
% 1.31/1.07 tff(245,plain,
% 1.31/1.07 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : refl((ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) <=> (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)))),
% 1.31/1.07 inference(bind,[status(th)],[])).
% 1.31/1.07 tff(246,plain,
% 1.31/1.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.31/1.07 inference(quant_intro,[status(thm)],[245])).
% 1.31/1.07 tff(247,plain,
% 1.31/1.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.31/1.07 inference(rewrite,[status(thm)],[])).
% 1.31/1.07 tff(248,plain,
% 1.31/1.07 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssPv3(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(Y))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(Y))) <=> ((~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) <=> ((~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) <=> (((~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(Z, X1))))), rewrite((((~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(Z, X1))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) <=> (((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) <=> ((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | ssPv1(X1)) <=> (((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(X1)))), rewrite((((~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(X1)) <=> (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | ssPv1(X1)) <=> (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | ssPv1(X1)) | ssPv1(W)) <=> ((ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)))), rewrite(((ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)) <=> (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))), (((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | ssPv1(X1)) | ssPv1(W)) <=> (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))))),
% 1.31/1.07 inference(bind,[status(th)],[])).
% 1.31/1.07 tff(249,plain,
% 1.31/1.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | ssPv1(X1)) | ssPv1(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.31/1.07 inference(quant_intro,[status(thm)],[248])).
% 1.31/1.07 tff(250,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(Z, X1))) | (~ssRr(W, Z))) | ssPv1(X1)) | ssPv1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause48')).
% 1.31/1.07 tff(251,plain,
% 1.31/1.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.31/1.07 inference(modus_ponens,[status(thm)],[250, 249])).
% 1.31/1.07 tff(252,plain,
% 1.31/1.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.31/1.07 inference(modus_ponens,[status(thm)],[251, 247])).
% 1.31/1.07 tff(253,plain,(
% 1.31/1.07 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.31/1.07 inference(skolemize,[status(sab)],[252])).
% 1.31/1.07 tff(254,plain,
% 1.31/1.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.31/1.07 inference(modus_ponens,[status(thm)],[253, 246])).
% 1.31/1.07 tff(255,plain,
% 1.31/1.07 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.07 inference(rewrite,[status(thm)],[])).
% 1.31/1.07 tff(256,plain,
% 1.31/1.07 ((ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0))) <=> (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.07 inference(rewrite,[status(thm)],[])).
% 1.31/1.07 tff(257,plain,
% 1.31/1.07 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.07 inference(monotonicity,[status(thm)],[256])).
% 1.31/1.07 tff(258,plain,
% 1.31/1.07 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.07 inference(transitivity,[status(thm)],[257, 255])).
% 1.31/1.07 tff(259,plain,
% 1.31/1.07 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)))),
% 1.31/1.07 inference(quant_inst,[status(thm)],[])).
% 1.31/1.07 tff(260,plain,
% 1.31/1.07 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.31/1.07 inference(modus_ponens,[status(thm)],[259, 258])).
% 1.31/1.07 tff(261,plain,
% 1.31/1.07 (ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.31/1.07 inference(unit_resolution,[status(thm)],[260, 254, 15, 37])).
% 1.31/1.07 tff(262,plain,
% 1.31/1.07 (~ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.31/1.07 inference(unit_resolution,[status(thm)],[261, 244, 6, 55])).
% 1.31/1.07 tff(263,assumption,(~ssPv1(elem!0)), introduced(assumption)).
% 1.31/1.07 tff(264,plain,
% 1.31/1.07 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W))))),
% 1.31/1.07 inference(bind,[status(th)],[])).
% 1.31/1.07 tff(265,plain,
% 1.31/1.07 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))),
% 1.31/1.07 inference(quant_intro,[status(thm)],[264])).
% 1.31/1.07 tff(266,plain,
% 1.31/1.07 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))),
% 1.31/1.07 inference(rewrite,[status(thm)],[])).
% 1.31/1.07 tff(267,plain,
% 1.31/1.07 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv4(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))) | (~ssPv4(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))) | (~ssPv4(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | (~ssPv4(W)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv4(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | (~ssPv4(W))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv4(W))) | ssPv4(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | (~ssPv4(W))) | ssPv4(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | (~ssPv4(W))) | ssPv4(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv4(V) | (~ssPv4(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv4(W))) | ssPv4(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv4(V) | (~ssPv4(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv4(W))) | ssPv4(V)) | ssPv1(W)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv4(V) | (~ssPv4(W))) | ssPv1(W)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv4(V) | (~ssPv4(W))) | ssPv1(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv4(W))) | ssPv4(V)) | ssPv1(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))))),
% 1.31/1.07 inference(bind,[status(th)],[])).
% 1.31/1.07 tff(268,plain,
% 1.31/1.07 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv4(W))) | ssPv4(V)) | ssPv1(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))),
% 1.31/1.07 inference(quant_intro,[status(thm)],[267])).
% 1.31/1.07 tff(269,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssPv4(W))) | ssPv4(V)) | ssPv1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause8')).
% 1.31/1.07 tff(270,plain,
% 1.31/1.07 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))),
% 1.31/1.07 inference(modus_ponens,[status(thm)],[269, 268])).
% 1.31/1.07 tff(271,plain,
% 1.31/1.07 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))),
% 1.31/1.07 inference(modus_ponens,[status(thm)],[270, 266])).
% 1.31/1.07 tff(272,plain,(
% 1.31/1.07 ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))),
% 1.31/1.07 inference(skolemize,[status(sab)],[271])).
% 1.31/1.07 tff(273,plain,
% 1.31/1.07 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))),
% 1.31/1.07 inference(modus_ponens,[status(thm)],[272, 265])).
% 1.31/1.07 tff(274,plain,
% 1.31/1.07 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | (ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(elem!0)))),
% 1.31/1.07 inference(rewrite,[status(thm)],[])).
% 1.31/1.07 tff(275,plain,
% 1.31/1.07 (((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssPv4(elem!0))) <=> (ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(elem!0)))),
% 1.31/1.07 inference(rewrite,[status(thm)],[])).
% 1.31/1.07 tff(276,plain,
% 1.31/1.07 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | (ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(elem!0))))),
% 1.31/1.07 inference(monotonicity,[status(thm)],[275])).
% 1.31/1.07 tff(277,plain,
% 1.31/1.07 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(elem!0)))),
% 1.31/1.07 inference(transitivity,[status(thm)],[276, 274])).
% 1.31/1.07 tff(278,plain,
% 1.31/1.07 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssPv4(elem!0)))),
% 1.31/1.07 inference(quant_inst,[status(thm)],[])).
% 1.31/1.07 tff(279,plain,
% 1.31/1.07 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(elem!0))),
% 1.31/1.07 inference(modus_ponens,[status(thm)],[278, 277])).
% 1.31/1.07 tff(280,plain,
% 1.31/1.07 (ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(elem!0))),
% 1.31/1.07 inference(unit_resolution,[status(thm)],[279, 273, 17, 15])).
% 1.31/1.07 tff(281,plain,
% 1.31/1.07 (ssPv4(skf1(skf1(elem!0)))),
% 1.31/1.07 inference(unit_resolution,[status(thm)],[280, 226, 263, 56])).
% 1.31/1.07 tff(282,plain,
% 1.31/1.07 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) <=> (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)))),
% 1.31/1.07 inference(bind,[status(th)],[])).
% 1.31/1.07 tff(283,plain,
% 1.31/1.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.31/1.07 inference(quant_intro,[status(thm)],[282])).
% 1.31/1.07 tff(284,plain,
% 1.31/1.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.31/1.07 inference(rewrite,[status(thm)],[])).
% 1.31/1.07 tff(285,plain,
% 1.31/1.07 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv4(V))) <=> ((~ssPv4(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> (((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(Z))) <=> (((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(Z))) <=> ((~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(Z))) <=> ((~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(Z))) | ssPv3(Y)) <=> (((~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(Y)))), rewrite((((~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(Z))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(Z))) | ssPv3(Y)) | ssPv1(W)) <=> ((ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)))), rewrite(((ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)) <=> (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))), ((((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(Z))) | ssPv3(Y)) | ssPv1(W)) <=> (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))))),
% 1.31/1.07 inference(bind,[status(th)],[])).
% 1.31/1.07 tff(286,plain,
% 1.31/1.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(Z))) | ssPv3(Y)) | ssPv1(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.31/1.07 inference(quant_intro,[status(thm)],[285])).
% 1.31/1.07 tff(287,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv4(Z))) | ssPv3(Y)) | ssPv1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause43')).
% 1.31/1.07 tff(288,plain,
% 1.31/1.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.31/1.07 inference(modus_ponens,[status(thm)],[287, 286])).
% 1.31/1.07 tff(289,plain,
% 1.31/1.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.31/1.07 inference(modus_ponens,[status(thm)],[288, 284])).
% 1.31/1.07 tff(290,plain,(
% 1.31/1.07 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.31/1.07 inference(skolemize,[status(sab)],[289])).
% 1.31/1.07 tff(291,plain,
% 1.31/1.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.31/1.07 inference(modus_ponens,[status(thm)],[290, 283])).
% 1.31/1.07 tff(292,plain,
% 1.31/1.07 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))),
% 1.31/1.07 inference(rewrite,[status(thm)],[])).
% 1.31/1.07 tff(293,plain,
% 1.31/1.07 ((ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0)) <=> (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))),
% 1.31/1.07 inference(rewrite,[status(thm)],[])).
% 1.31/1.07 tff(294,plain,
% 1.31/1.07 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0)))))),
% 1.31/1.07 inference(monotonicity,[status(thm)],[293])).
% 1.31/1.07 tff(295,plain,
% 1.31/1.07 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))),
% 1.31/1.07 inference(transitivity,[status(thm)],[294, 292])).
% 1.31/1.07 tff(296,plain,
% 1.31/1.07 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0))),
% 1.31/1.07 inference(quant_inst,[status(thm)],[])).
% 1.31/1.07 tff(297,plain,
% 1.31/1.07 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0)))),
% 1.31/1.07 inference(modus_ponens,[status(thm)],[296, 295])).
% 1.31/1.07 tff(298,plain,
% 1.31/1.07 (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv4(skf1(elem!0)))),
% 1.31/1.07 inference(unit_resolution,[status(thm)],[297, 291, 17, 15])).
% 1.31/1.07 tff(299,plain,
% 1.31/1.07 (~ssPv4(skf1(elem!0))),
% 1.31/1.07 inference(unit_resolution,[status(thm)],[298, 281, 263, 3])).
% 1.31/1.07 tff(300,plain,
% 1.31/1.07 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.31/1.07 inference(bind,[status(th)],[])).
% 1.31/1.07 tff(301,plain,
% 1.31/1.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.07 inference(quant_intro,[status(thm)],[300])).
% 1.31/1.07 tff(302,plain,
% 1.31/1.07 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.07 inference(rewrite,[status(thm)],[])).
% 1.31/1.07 tff(303,plain,
% 1.31/1.07 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssPv3(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv2(Y)) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Y)))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Y)) <=> (ssPv2(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv2(Y)) <=> (ssPv2(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv2(Y)) | ssPv1(Z)) <=> ((ssPv2(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Z)))), rewrite(((ssPv2(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Z)) <=> (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv2(Y)) | ssPv1(Z)) <=> (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv2(Y)) | ssPv1(Z)) | ssPv4(W)) <=> ((ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)))), rewrite(((ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)) <=> (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv2(Y)) | ssPv1(Z)) | ssPv4(W)) <=> (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.31/1.08 inference(bind,[status(th)],[])).
% 1.31/1.08 tff(304,plain,
% 1.31/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv2(Y)) | ssPv1(Z)) | ssPv4(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.08 inference(quant_intro,[status(thm)],[303])).
% 1.31/1.08 tff(305,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv2(Y)) | ssPv1(Z)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause35')).
% 1.31/1.08 tff(306,plain,
% 1.31/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.08 inference(modus_ponens,[status(thm)],[305, 304])).
% 1.31/1.08 tff(307,plain,
% 1.31/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.08 inference(modus_ponens,[status(thm)],[306, 302])).
% 1.31/1.08 tff(308,plain,(
% 1.31/1.08 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.08 inference(skolemize,[status(sab)],[307])).
% 1.31/1.08 tff(309,plain,
% 1.31/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.08 inference(modus_ponens,[status(thm)],[308, 301])).
% 1.31/1.08 tff(310,plain,
% 1.31/1.08 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.08 inference(rewrite,[status(thm)],[])).
% 1.31/1.08 tff(311,plain,
% 1.31/1.08 ((ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.08 inference(rewrite,[status(thm)],[])).
% 1.31/1.08 tff(312,plain,
% 1.31/1.08 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.08 inference(monotonicity,[status(thm)],[311])).
% 1.31/1.08 tff(313,plain,
% 1.31/1.08 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.08 inference(transitivity,[status(thm)],[312, 310])).
% 1.31/1.08 tff(314,plain,
% 1.31/1.08 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(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))))))),
% 1.31/1.08 inference(quant_inst,[status(thm)],[])).
% 1.31/1.08 tff(315,plain,
% 1.31/1.08 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.31/1.08 inference(modus_ponens,[status(thm)],[314, 313])).
% 1.31/1.08 tff(316,plain,
% 1.31/1.08 (ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.31/1.08 inference(unit_resolution,[status(thm)],[315, 309, 15, 37])).
% 1.31/1.08 tff(317,plain,
% 1.31/1.08 ($false),
% 1.31/1.08 inference(unit_resolution,[status(thm)],[316, 299, 244, 203, 262])).
% 1.31/1.08 tff(318,plain,(ssPv1(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | ssPv1(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(elem!0)) | ssPv2(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.31/1.08 tff(319,plain,
% 1.31/1.08 (ssPv1(skf1(elem!0))),
% 1.31/1.08 inference(unit_resolution,[status(thm)],[318, 203, 202, 3, 225, 4])).
% 1.31/1.08 tff(320,plain,
% 1.31/1.08 (ssPv3(skf1(elem!0))),
% 1.31/1.08 inference(unit_resolution,[status(thm)],[173, 319, 3, 225, 4])).
% 1.31/1.08 tff(321,plain,
% 1.31/1.08 (ssPv4(skf1(skf1(elem!0)))),
% 1.31/1.08 inference(unit_resolution,[status(thm)],[280, 320, 202, 225])).
% 1.31/1.08 tff(322,plain,
% 1.31/1.08 (~ssPv4(skf1(elem!0))),
% 1.31/1.08 inference(unit_resolution,[status(thm)],[298, 321, 202, 3])).
% 1.31/1.08 tff(323,plain,
% 1.31/1.08 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | (ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.31/1.08 inference(rewrite,[status(thm)],[])).
% 1.31/1.08 tff(324,plain,
% 1.31/1.08 (((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))) <=> (ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.31/1.08 inference(rewrite,[status(thm)],[])).
% 1.31/1.08 tff(325,plain,
% 1.31/1.08 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | (ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.08 inference(monotonicity,[status(thm)],[324])).
% 1.31/1.08 tff(326,plain,
% 1.31/1.08 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.31/1.08 inference(transitivity,[status(thm)],[325, 323])).
% 1.31/1.08 tff(327,plain,
% 1.31/1.08 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.08 inference(quant_inst,[status(thm)],[])).
% 1.31/1.08 tff(328,plain,
% 1.31/1.08 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.31/1.08 inference(modus_ponens,[status(thm)],[327, 326])).
% 1.31/1.08 tff(329,plain,
% 1.31/1.08 (ssPv3(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.31/1.08 inference(unit_resolution,[status(thm)],[328, 184, 15, 37])).
% 1.31/1.08 tff(330,plain,
% 1.31/1.08 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.31/1.08 inference(unit_resolution,[status(thm)],[329, 322, 3, 320])).
% 1.31/1.08 tff(331,plain,
% 1.31/1.08 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.31/1.08 inference(unit_resolution,[status(thm)],[316, 330, 203, 322])).
% 1.31/1.08 tff(332,plain,
% 1.31/1.08 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.31/1.08 inference(bind,[status(th)],[])).
% 1.31/1.08 tff(333,plain,
% 1.31/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.08 inference(quant_intro,[status(thm)],[332])).
% 1.31/1.08 tff(334,plain,
% 1.31/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.08 inference(rewrite,[status(thm)],[])).
% 1.31/1.08 tff(335,plain,
% 1.31/1.08 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssPv3(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(Y))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(Y))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) <=> (((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv1(Z)) <=> (((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Z)))), rewrite((((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Z)) <=> (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv1(Z)) <=> (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv1(Z)) | ssPv4(W)) <=> ((ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)))), rewrite(((ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)) <=> (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv1(Z)) | ssPv4(W)) <=> (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.31/1.08 inference(bind,[status(th)],[])).
% 1.31/1.08 tff(336,plain,
% 1.31/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv1(Z)) | ssPv4(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.08 inference(quant_intro,[status(thm)],[335])).
% 1.31/1.08 tff(337,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv1(Z)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause37')).
% 1.31/1.08 tff(338,plain,
% 1.31/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.08 inference(modus_ponens,[status(thm)],[337, 336])).
% 1.31/1.08 tff(339,plain,
% 1.31/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.08 inference(modus_ponens,[status(thm)],[338, 334])).
% 1.31/1.08 tff(340,plain,(
% 1.31/1.08 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.08 inference(skolemize,[status(sab)],[339])).
% 1.31/1.08 tff(341,plain,
% 1.31/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.08 inference(modus_ponens,[status(thm)],[340, 333])).
% 1.31/1.08 tff(342,plain,
% 1.31/1.08 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.31/1.08 inference(rewrite,[status(thm)],[])).
% 1.31/1.08 tff(343,plain,
% 1.31/1.08 ((ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.31/1.08 inference(rewrite,[status(thm)],[])).
% 1.31/1.08 tff(344,plain,
% 1.31/1.08 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.08 inference(monotonicity,[status(thm)],[343])).
% 1.31/1.08 tff(345,plain,
% 1.31/1.08 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.31/1.08 inference(transitivity,[status(thm)],[344, 342])).
% 1.31/1.08 tff(346,plain,
% 1.31/1.08 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.31/1.08 inference(quant_inst,[status(thm)],[])).
% 1.31/1.08 tff(347,plain,
% 1.31/1.08 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.31/1.08 inference(modus_ponens,[status(thm)],[346, 345])).
% 1.31/1.08 tff(348,plain,
% 1.31/1.08 (ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.08 inference(unit_resolution,[status(thm)],[347, 341, 15, 37])).
% 1.31/1.08 tff(349,plain,
% 1.31/1.08 ($false),
% 1.31/1.08 inference(unit_resolution,[status(thm)],[348, 331, 330, 203, 322])).
% 1.31/1.08 tff(350,plain,(ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | ssPv3(elem!0)), inference(lemma,lemma(discharge,[]))).
% 1.31/1.08 tff(351,plain,
% 1.31/1.08 (ssPv1(skf1(skf1(elem!0)))),
% 1.31/1.08 inference(unit_resolution,[status(thm)],[350, 192, 3, 4])).
% 1.31/1.08 tff(352,assumption,(ssPv1(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.31/1.08 tff(353,plain,
% 1.31/1.08 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) <=> (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)))),
% 1.31/1.08 inference(bind,[status(th)],[])).
% 1.31/1.08 tff(354,plain,
% 1.31/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.31/1.08 inference(quant_intro,[status(thm)],[353])).
% 1.31/1.08 tff(355,plain,
% 1.31/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.31/1.08 inference(rewrite,[status(thm)],[])).
% 1.31/1.08 tff(356,plain,
% 1.31/1.08 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv1(V))) <=> ((~ssPv1(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> (((~ssPv1(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv1(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> ((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) <=> (((~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Y)))), rewrite((((~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv3(Z)) <=> ((ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(Z)))), rewrite(((ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(Z)) <=> (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv3(Z)) <=> (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv3(Z)) | ssPv1(W)) <=> ((ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)))), rewrite(((ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)) <=> (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))), ((((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv3(Z)) | ssPv1(W)) <=> (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))))),
% 1.31/1.08 inference(bind,[status(th)],[])).
% 1.31/1.08 tff(357,plain,
% 1.31/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv3(Z)) | ssPv1(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.31/1.08 inference(quant_intro,[status(thm)],[356])).
% 1.31/1.08 tff(358,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv3(Z)) | ssPv1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause33')).
% 1.31/1.08 tff(359,plain,
% 1.31/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.31/1.08 inference(modus_ponens,[status(thm)],[358, 357])).
% 1.31/1.08 tff(360,plain,
% 1.31/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.31/1.08 inference(modus_ponens,[status(thm)],[359, 355])).
% 1.31/1.08 tff(361,plain,(
% 1.31/1.08 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.31/1.08 inference(skolemize,[status(sab)],[360])).
% 1.31/1.08 tff(362,plain,
% 1.31/1.08 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))),
% 1.31/1.08 inference(modus_ponens,[status(thm)],[361, 354])).
% 1.31/1.08 tff(363,plain,
% 1.31/1.08 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)))),
% 1.31/1.08 inference(rewrite,[status(thm)],[])).
% 1.31/1.08 tff(364,plain,
% 1.31/1.08 ((ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0)) <=> ((~ssPv1(skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)))),
% 1.31/1.08 inference(rewrite,[status(thm)],[])).
% 1.31/1.08 tff(365,plain,
% 1.31/1.08 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0))))),
% 1.31/1.08 inference(monotonicity,[status(thm)],[364])).
% 1.31/1.08 tff(366,plain,
% 1.31/1.08 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)))),
% 1.31/1.08 inference(transitivity,[status(thm)],[365, 363])).
% 1.31/1.08 tff(367,plain,
% 1.31/1.08 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv1(elem!0))),
% 1.31/1.08 inference(quant_inst,[status(thm)],[])).
% 1.31/1.08 tff(368,plain,
% 1.31/1.08 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0))),
% 1.31/1.09 inference(modus_ponens,[status(thm)],[367, 366])).
% 1.31/1.09 tff(369,plain,
% 1.31/1.09 ((~ssPv1(skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0))),
% 1.31/1.09 inference(unit_resolution,[status(thm)],[368, 362, 17, 15])).
% 1.31/1.09 tff(370,plain,
% 1.31/1.09 (ssPv4(skf1(skf1(elem!0)))),
% 1.31/1.09 inference(unit_resolution,[status(thm)],[369, 5, 263, 352])).
% 1.31/1.09 tff(371,plain,
% 1.31/1.09 (~ssPv4(skf1(elem!0))),
% 1.31/1.09 inference(unit_resolution,[status(thm)],[298, 370, 263, 3])).
% 1.31/1.09 tff(372,plain,
% 1.31/1.09 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.09 inference(rewrite,[status(thm)],[])).
% 1.31/1.09 tff(373,plain,
% 1.31/1.09 ((ssPv3(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0))))) <=> ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.09 inference(rewrite,[status(thm)],[])).
% 1.31/1.09 tff(374,plain,
% 1.31/1.09 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))) | (ssPv3(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.09 inference(monotonicity,[status(thm)],[373])).
% 1.31/1.09 tff(375,plain,
% 1.31/1.09 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))) | (ssPv3(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.09 inference(transitivity,[status(thm)],[374, 372])).
% 1.31/1.09 tff(376,plain,
% 1.31/1.09 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))) | (ssPv3(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.31/1.09 inference(quant_inst,[status(thm)],[])).
% 1.31/1.09 tff(377,plain,
% 1.31/1.09 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv1(X)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.31/1.09 inference(modus_ponens,[status(thm)],[376, 375])).
% 1.31/1.09 tff(378,plain,
% 1.31/1.09 ((~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.31/1.09 inference(unit_resolution,[status(thm)],[377, 215, 15, 37])).
% 1.31/1.09 tff(379,plain,
% 1.31/1.09 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.31/1.09 inference(unit_resolution,[status(thm)],[378, 371, 352, 5])).
% 1.31/1.09 tff(380,plain,
% 1.31/1.09 (~ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.31/1.09 inference(unit_resolution,[status(thm)],[117, 379, 3, 100])).
% 1.31/1.09 tff(381,plain,
% 1.31/1.09 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.31/1.09 inference(unit_resolution,[status(thm)],[135, 380, 100, 5])).
% 1.31/1.09 tff(382,plain,
% 1.31/1.09 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V))) <=> (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V))))),
% 1.31/1.09 inference(bind,[status(th)],[])).
% 1.31/1.09 tff(383,plain,
% 1.31/1.09 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))),
% 1.31/1.09 inference(quant_intro,[status(thm)],[382])).
% 1.31/1.09 tff(384,plain,
% 1.31/1.09 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))),
% 1.31/1.09 inference(rewrite,[status(thm)],[])).
% 1.31/1.09 tff(385,plain,
% 1.31/1.09 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv2(V))) <=> ((~ssRr(U, V)) | (~ssPv2(V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> (((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))))), rewrite((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(X, Y))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> (((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv1(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv1(W))) <=> ((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> ((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(Y)) <=> (((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | ssPv3(Y)))), rewrite((((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(Y)) | ssPv4(W)) <=> ((ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | ssPv4(W)))), rewrite(((ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | ssPv4(W)) <=> (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(Y)) | ssPv4(W)) <=> (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))))),
% 1.31/1.09 inference(bind,[status(th)],[])).
% 1.31/1.09 tff(386,plain,
% 1.31/1.09 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(Y)) | ssPv4(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))),
% 1.31/1.09 inference(quant_intro,[status(thm)],[385])).
% 1.31/1.09 tff(387,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv3(Y)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause25')).
% 1.31/1.09 tff(388,plain,
% 1.31/1.09 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))),
% 1.31/1.09 inference(modus_ponens,[status(thm)],[387, 386])).
% 1.31/1.09 tff(389,plain,
% 1.31/1.09 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))),
% 1.31/1.09 inference(modus_ponens,[status(thm)],[388, 384])).
% 1.31/1.09 tff(390,plain,(
% 1.31/1.09 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))),
% 1.31/1.09 inference(skolemize,[status(sab)],[389])).
% 1.31/1.09 tff(391,plain,
% 1.31/1.09 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))),
% 1.31/1.09 inference(modus_ponens,[status(thm)],[390, 383])).
% 1.31/1.09 tff(392,plain,
% 1.31/1.09 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.31/1.09 inference(rewrite,[status(thm)],[])).
% 1.31/1.09 tff(393,plain,
% 1.31/1.09 ((ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.31/1.09 inference(rewrite,[status(thm)],[])).
% 1.31/1.09 tff(394,plain,
% 1.31/1.09 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.09 inference(monotonicity,[status(thm)],[393])).
% 1.31/1.09 tff(395,plain,
% 1.31/1.09 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.31/1.09 inference(transitivity,[status(thm)],[394, 392])).
% 1.31/1.09 tff(396,plain,
% 1.31/1.09 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.09 inference(quant_inst,[status(thm)],[])).
% 1.31/1.09 tff(397,plain,
% 1.31/1.09 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.31/1.09 inference(modus_ponens,[status(thm)],[396, 395])).
% 1.31/1.09 tff(398,plain,
% 1.31/1.09 ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.31/1.09 inference(unit_resolution,[status(thm)],[397, 391, 15, 37])).
% 1.31/1.09 tff(399,plain,
% 1.31/1.09 ($false),
% 1.31/1.09 inference(unit_resolution,[status(thm)],[398, 381, 380, 100, 371])).
% 1.31/1.09 tff(400,plain,(ssPv3(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv1(elem!0)), inference(lemma,lemma(discharge,[]))).
% 1.31/1.09 tff(401,plain,
% 1.31/1.09 ($false),
% 1.31/1.09 inference(unit_resolution,[status(thm)],[400, 351, 200, 3, 5, 97])).
% 1.31/1.09 tff(402,plain,(ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.31/1.09 tff(403,plain,
% 1.31/1.09 (ssPv3(skf1(elem!0))),
% 1.31/1.09 inference(unit_resolution,[status(thm)],[402, 4, 3])).
% 1.31/1.09 tff(404,plain,
% 1.31/1.09 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y))) <=> (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y))))),
% 1.31/1.09 inference(bind,[status(th)],[])).
% 1.31/1.09 tff(405,plain,
% 1.31/1.09 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.31/1.09 inference(quant_intro,[status(thm)],[404])).
% 1.31/1.09 tff(406,plain,
% 1.31/1.09 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.31/1.09 inference(rewrite,[status(thm)],[])).
% 1.31/1.09 tff(407,plain,
% 1.31/1.09 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(X))) <=> ((~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) <=> ((~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) <=> (((~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))))), rewrite((((~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))) <=> ((~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) <=> ((~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv2(V)) <=> (((~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(V)))), rewrite((((~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(V)) <=> (ssPv2(V) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv2(V)) <=> (ssPv2(V) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv2(V)) | ssPv2(Y)) <=> ((ssPv2(V) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(Y)))), rewrite(((ssPv2(V) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv2(Y)) <=> (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv2(V)) | ssPv2(Y)) <=> (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv2(V)) | ssPv2(Y)) | ssPv4(W)) <=> ((ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv4(W)))), rewrite(((ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv4(W)) <=> (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv2(V)) | ssPv2(Y)) | ssPv4(W)) <=> (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))))),
% 1.31/1.09 inference(bind,[status(th)],[])).
% 1.31/1.09 tff(408,plain,
% 1.31/1.09 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv2(V)) | ssPv2(Y)) | ssPv4(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.31/1.09 inference(quant_intro,[status(thm)],[407])).
% 1.31/1.09 tff(409,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv2(V)) | ssPv2(Y)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause15')).
% 1.31/1.09 tff(410,plain,
% 1.31/1.09 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.31/1.09 inference(modus_ponens,[status(thm)],[409, 408])).
% 1.31/1.09 tff(411,plain,
% 1.31/1.09 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.31/1.09 inference(modus_ponens,[status(thm)],[410, 406])).
% 1.31/1.09 tff(412,plain,(
% 1.31/1.09 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.31/1.09 inference(skolemize,[status(sab)],[411])).
% 1.31/1.09 tff(413,plain,
% 1.31/1.09 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.31/1.09 inference(modus_ponens,[status(thm)],[412, 405])).
% 1.31/1.09 tff(414,plain,
% 1.31/1.09 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(elem!0) | ssPv2(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(elem!0) | ssPv2(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))))),
% 1.31/1.09 inference(rewrite,[status(thm)],[])).
% 1.31/1.09 tff(415,plain,
% 1.31/1.09 ((ssPv2(skf1(skf1(elem!0))) | ssPv2(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0)))) <=> (ssPv4(elem!0) | ssPv2(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))))),
% 1.31/1.09 inference(rewrite,[status(thm)],[])).
% 1.31/1.09 tff(416,plain,
% 1.31/1.09 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv2(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(elem!0) | ssPv2(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0)))))),
% 1.31/1.09 inference(monotonicity,[status(thm)],[415])).
% 1.31/1.09 tff(417,plain,
% 1.31/1.09 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv2(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(elem!0) | ssPv2(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))))),
% 1.31/1.09 inference(transitivity,[status(thm)],[416, 414])).
% 1.31/1.09 tff(418,plain,
% 1.31/1.09 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(elem!0))) | ssPv2(skf1(elem!0)) | (~ssPv3(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.31/1.09 inference(quant_inst,[status(thm)],[])).
% 1.31/1.09 tff(419,plain,
% 1.31/1.09 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(elem!0) | ssPv2(skf1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0)))),
% 1.31/1.09 inference(modus_ponens,[status(thm)],[418, 417])).
% 1.31/1.09 tff(420,plain,
% 1.31/1.09 (ssPv4(elem!0) | ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0)))),
% 1.31/1.09 inference(unit_resolution,[status(thm)],[419, 413, 17, 15])).
% 1.31/1.09 tff(421,plain,
% 1.31/1.09 (ssPv2(skf1(elem!0))),
% 1.31/1.09 inference(unit_resolution,[status(thm)],[420, 204, 4, 403])).
% 1.31/1.09 tff(422,plain,
% 1.31/1.09 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.31/1.09 inference(bind,[status(th)],[])).
% 1.31/1.09 tff(423,plain,
% 1.31/1.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.09 inference(quant_intro,[status(thm)],[422])).
% 1.31/1.09 tff(424,plain,
% 1.31/1.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.09 inference(rewrite,[status(thm)],[])).
% 1.31/1.09 tff(425,plain,
% 1.31/1.09 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv2(Z))) <=> (((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(Z))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(Z))) <=> ((~ssRr(X, Y)) | (~ssPv2(Z)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv2(Z))) <=> ((~ssRr(X, Y)) | (~ssPv2(Z)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv2(Z))) | ssPv2(V)) <=> (((~ssRr(X, Y)) | (~ssPv2(Z)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(V)))), rewrite((((~ssRr(X, Y)) | (~ssPv2(Z)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(V)) <=> ((~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv2(Z))) | ssPv2(V)) <=> ((~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv2(Z))) | ssPv2(V)) | ssPv1(Y)) <=> (((~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Y)))), rewrite((((~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv2(Z))) | ssPv2(V)) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv2(Z))) | ssPv2(V)) | ssPv1(Y)) | ssPv4(W)) <=> ((ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)))), rewrite(((ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)) <=> (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv2(Z))) | ssPv2(V)) | ssPv1(Y)) | ssPv4(W)) <=> (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.31/1.09 inference(bind,[status(th)],[])).
% 1.31/1.09 tff(426,plain,
% 1.31/1.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv2(Z))) | ssPv2(V)) | ssPv1(Y)) | ssPv4(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.09 inference(quant_intro,[status(thm)],[425])).
% 1.31/1.09 tff(427,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv2(Z))) | ssPv2(V)) | ssPv1(Y)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause34')).
% 1.31/1.09 tff(428,plain,
% 1.31/1.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.09 inference(modus_ponens,[status(thm)],[427, 426])).
% 1.31/1.09 tff(429,plain,
% 1.31/1.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.09 inference(modus_ponens,[status(thm)],[428, 424])).
% 1.31/1.09 tff(430,plain,(
% 1.31/1.09 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.09 inference(skolemize,[status(sab)],[429])).
% 1.31/1.09 tff(431,plain,
% 1.31/1.09 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.09 inference(modus_ponens,[status(thm)],[430, 423])).
% 1.31/1.09 tff(432,plain,
% 1.31/1.09 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(elem!0) | (~ssPv2(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(elem!0) | (~ssPv2(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.31/1.09 inference(rewrite,[status(thm)],[])).
% 1.31/1.09 tff(433,plain,
% 1.31/1.09 ((ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> (ssPv4(elem!0) | (~ssPv2(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.31/1.09 inference(rewrite,[status(thm)],[])).
% 1.31/1.09 tff(434,plain,
% 1.31/1.09 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(elem!0) | (~ssPv2(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0)))))),
% 1.31/1.09 inference(monotonicity,[status(thm)],[433])).
% 1.31/1.09 tff(435,plain,
% 1.31/1.09 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(elem!0) | (~ssPv2(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))))),
% 1.31/1.09 inference(transitivity,[status(thm)],[434, 432])).
% 1.31/1.09 tff(436,plain,
% 1.31/1.09 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv2(skf1(elem!0))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.31/1.09 inference(quant_inst,[status(thm)],[])).
% 1.31/1.09 tff(437,plain,
% 1.31/1.09 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(elem!0) | (~ssPv2(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0)))),
% 1.31/1.10 inference(modus_ponens,[status(thm)],[436, 435])).
% 1.31/1.10 tff(438,plain,
% 1.31/1.10 (ssPv4(elem!0) | (~ssPv2(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0)))),
% 1.31/1.10 inference(unit_resolution,[status(thm)],[437, 431, 17, 15])).
% 1.31/1.10 tff(439,plain,
% 1.31/1.10 (ssPv1(skf1(skf1(elem!0)))),
% 1.31/1.10 inference(unit_resolution,[status(thm)],[438, 421, 4, 204])).
% 1.31/1.10 tff(440,assumption,(~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.31/1.10 tff(441,plain,
% 1.31/1.10 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.10 inference(quant_inst,[status(thm)],[])).
% 1.31/1.10 tff(442,plain,
% 1.31/1.10 (ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.10 inference(unit_resolution,[status(thm)],[441, 13])).
% 1.31/1.10 tff(443,plain,
% 1.31/1.10 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(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))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.10 inference(rewrite,[status(thm)],[])).
% 1.31/1.10 tff(444,plain,
% 1.31/1.10 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv3(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))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.10 inference(rewrite,[status(thm)],[])).
% 1.31/1.10 tff(445,plain,
% 1.31/1.10 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(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))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.10 inference(monotonicity,[status(thm)],[444])).
% 1.31/1.10 tff(446,plain,
% 1.31/1.10 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(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))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.10 inference(transitivity,[status(thm)],[445, 443])).
% 1.31/1.10 tff(447,plain,
% 1.31/1.10 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.10 inference(quant_inst,[status(thm)],[])).
% 1.31/1.10 tff(448,plain,
% 1.31/1.10 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(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))))))),
% 1.31/1.10 inference(modus_ponens,[status(thm)],[447, 446])).
% 1.31/1.10 tff(449,plain,
% 1.31/1.10 (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.10 inference(unit_resolution,[status(thm)],[448, 128, 37, 442])).
% 1.31/1.10 tff(450,plain,
% 1.31/1.10 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.10 inference(unit_resolution,[status(thm)],[449, 440, 3, 352])).
% 1.31/1.10 tff(451,plain,
% 1.31/1.10 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.10 inference(rewrite,[status(thm)],[])).
% 1.31/1.10 tff(452,plain,
% 1.31/1.10 ((ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.10 inference(rewrite,[status(thm)],[])).
% 1.31/1.10 tff(453,plain,
% 1.31/1.10 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.10 inference(monotonicity,[status(thm)],[452])).
% 1.31/1.10 tff(454,plain,
% 1.31/1.10 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.10 inference(transitivity,[status(thm)],[453, 451])).
% 1.31/1.10 tff(455,plain,
% 1.31/1.10 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.10 inference(quant_inst,[status(thm)],[])).
% 1.31/1.10 tff(456,plain,
% 1.31/1.10 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.10 inference(modus_ponens,[status(thm)],[455, 454])).
% 1.31/1.10 tff(457,plain,
% 1.31/1.10 ((~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.10 inference(unit_resolution,[status(thm)],[456, 146, 37, 442])).
% 1.31/1.10 tff(458,plain,
% 1.31/1.10 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.31/1.10 inference(unit_resolution,[status(thm)],[457, 440, 4, 352])).
% 1.31/1.10 tff(459,plain,
% 1.31/1.10 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) <=> (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))),
% 1.31/1.10 inference(bind,[status(th)],[])).
% 1.31/1.10 tff(460,plain,
% 1.31/1.10 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.31/1.10 inference(quant_intro,[status(thm)],[459])).
% 1.31/1.10 tff(461,plain,
% 1.31/1.10 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.31/1.10 inference(rewrite,[status(thm)],[])).
% 1.31/1.10 tff(462,plain,
% 1.31/1.10 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> (((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))) <=> ((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> ((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) <=> (((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(W))))), rewrite((((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(W))) <=> ((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) <=> ((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv3(V)) <=> (((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv3(V)))), rewrite((((~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv3(V)) <=> (ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv3(V)) | ssPv2(Y)) <=> ((ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv2(Y)))), rewrite(((ssPv3(V) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W))) | ssPv2(Y)) <=> (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv3(V)) | ssPv2(Y)) <=> (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))))),
% 1.31/1.10 inference(bind,[status(th)],[])).
% 1.31/1.10 tff(463,plain,
% 1.31/1.10 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv3(V)) | ssPv2(Y)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.31/1.10 inference(quant_intro,[status(thm)],[462])).
% 1.31/1.10 tff(464,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | (~ssPv4(W))) | ssPv3(V)) | ssPv2(Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause22')).
% 1.31/1.10 tff(465,plain,
% 1.31/1.10 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.31/1.10 inference(modus_ponens,[status(thm)],[464, 463])).
% 1.31/1.10 tff(466,plain,
% 1.31/1.10 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.31/1.10 inference(modus_ponens,[status(thm)],[465, 461])).
% 1.31/1.10 tff(467,plain,(
% 1.31/1.10 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.31/1.10 inference(skolemize,[status(sab)],[466])).
% 1.31/1.10 tff(468,plain,
% 1.31/1.10 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))),
% 1.31/1.10 inference(modus_ponens,[status(thm)],[467, 460])).
% 1.31/1.10 tff(469,plain,
% 1.31/1.10 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv4(elem!0)))),
% 1.31/1.10 inference(rewrite,[status(thm)],[])).
% 1.31/1.10 tff(470,plain,
% 1.31/1.10 ((ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(elem!0))) <=> (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv4(elem!0)))),
% 1.31/1.10 inference(rewrite,[status(thm)],[])).
% 1.31/1.10 tff(471,plain,
% 1.31/1.10 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv4(elem!0))))),
% 1.31/1.10 inference(monotonicity,[status(thm)],[470])).
% 1.31/1.10 tff(472,plain,
% 1.31/1.10 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv4(elem!0)))),
% 1.31/1.10 inference(transitivity,[status(thm)],[471, 469])).
% 1.31/1.10 tff(473,plain,
% 1.31/1.10 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(elem!0)))),
% 1.31/1.10 inference(quant_inst,[status(thm)],[])).
% 1.31/1.10 tff(474,plain,
% 1.31/1.10 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv4(elem!0))),
% 1.31/1.10 inference(modus_ponens,[status(thm)],[473, 472])).
% 1.31/1.10 tff(475,plain,
% 1.31/1.10 (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssPv4(elem!0))),
% 1.31/1.10 inference(unit_resolution,[status(thm)],[474, 468, 17, 15])).
% 1.31/1.10 tff(476,plain,
% 1.31/1.10 (~ssPv1(elem!0)),
% 1.31/1.10 inference(unit_resolution,[status(thm)],[475, 35, 4, 3])).
% 1.31/1.10 tff(477,plain,
% 1.31/1.10 (ssPv4(skf1(skf1(elem!0)))),
% 1.31/1.10 inference(unit_resolution,[status(thm)],[280, 476, 35, 403])).
% 1.31/1.10 tff(478,plain,
% 1.31/1.10 (~ssPv4(skf1(elem!0))),
% 1.31/1.10 inference(unit_resolution,[status(thm)],[298, 477, 476, 3])).
% 1.31/1.10 tff(479,plain,
% 1.31/1.10 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.31/1.10 inference(unit_resolution,[status(thm)],[329, 478, 3, 403])).
% 1.31/1.10 tff(480,plain,
% 1.31/1.10 (ssPv1(skf1(skf1(elem!0)))),
% 1.31/1.10 inference(unit_resolution,[status(thm)],[318, 476, 4, 3, 6, 35])).
% 1.31/1.10 tff(481,plain,
% 1.31/1.10 (^[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))))),
% 1.31/1.10 inference(bind,[status(th)],[])).
% 1.31/1.10 tff(482,plain,
% 1.31/1.10 (![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)))),
% 1.31/1.10 inference(quant_intro,[status(thm)],[481])).
% 1.31/1.10 tff(483,plain,
% 1.31/1.10 (![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)))),
% 1.31/1.10 inference(rewrite,[status(thm)],[])).
% 1.31/1.10 tff(484,plain,
% 1.31/1.10 (^[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)))))),
% 1.31/1.10 inference(bind,[status(th)],[])).
% 1.31/1.10 tff(485,plain,
% 1.31/1.10 (![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)))),
% 1.31/1.10 inference(quant_intro,[status(thm)],[484])).
% 1.31/1.10 tff(486,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv4(V)) | ssPv1(Y)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause12')).
% 1.31/1.10 tff(487,plain,
% 1.31/1.10 (![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)))),
% 1.31/1.10 inference(modus_ponens,[status(thm)],[486, 485])).
% 1.31/1.10 tff(488,plain,
% 1.31/1.10 (![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)))),
% 1.31/1.10 inference(modus_ponens,[status(thm)],[487, 483])).
% 1.31/1.10 tff(489,plain,(
% 1.31/1.10 ![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)))),
% 1.31/1.10 inference(skolemize,[status(sab)],[488])).
% 1.31/1.10 tff(490,plain,
% 1.31/1.10 (![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)))),
% 1.31/1.10 inference(modus_ponens,[status(thm)],[489, 482])).
% 1.31/1.10 tff(491,plain,
% 1.31/1.10 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.10 inference(rewrite,[status(thm)],[])).
% 1.31/1.10 tff(492,plain,
% 1.31/1.10 ((ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(elem!0)))) <=> ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.10 inference(rewrite,[status(thm)],[])).
% 1.31/1.10 tff(493,plain,
% 1.31/1.10 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.10 inference(monotonicity,[status(thm)],[492])).
% 1.31/1.10 tff(494,plain,
% 1.31/1.10 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.10 inference(transitivity,[status(thm)],[493, 491])).
% 1.31/1.10 tff(495,plain,
% 1.31/1.10 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(elem!0))))),
% 1.31/1.10 inference(quant_inst,[status(thm)],[])).
% 1.31/1.10 tff(496,plain,
% 1.31/1.10 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.31/1.10 inference(modus_ponens,[status(thm)],[495, 494])).
% 1.31/1.10 tff(497,plain,
% 1.31/1.10 ((~ssPv3(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.31/1.10 inference(unit_resolution,[status(thm)],[496, 490, 15, 37])).
% 1.31/1.10 tff(498,plain,
% 1.31/1.10 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.31/1.10 inference(unit_resolution,[status(thm)],[497, 478, 403, 55])).
% 1.31/1.10 tff(499,plain,
% 1.31/1.10 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.10 inference(unit_resolution,[status(thm)],[457, 498, 4, 480])).
% 1.31/1.10 tff(500,plain,
% 1.31/1.10 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))) <=> ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))))),
% 1.31/1.10 inference(bind,[status(th)],[])).
% 1.31/1.10 tff(501,plain,
% 1.31/1.10 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))),
% 1.31/1.10 inference(quant_intro,[status(thm)],[500])).
% 1.31/1.10 tff(502,plain,
% 1.31/1.10 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))),
% 1.31/1.10 inference(rewrite,[status(thm)],[])).
% 1.31/1.10 tff(503,plain,
% 1.31/1.10 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssPv3(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) <=> (((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(X))))), rewrite((((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(X))) <=> ((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) <=> ((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) <=> (((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))))), rewrite((((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))) <=> ((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) <=> ((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) <=> (((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv3(Y))))), rewrite((((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv3(Y))) <=> ((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) <=> ((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | (~ssPv1(W))) <=> (((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))) | (~ssPv1(W))))), rewrite((((~ssPv3(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))) | (~ssPv1(W))) <=> ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | (~ssPv1(W))) <=> ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))))),
% 1.31/1.10 inference(bind,[status(th)],[])).
% 1.31/1.10 tff(504,plain,
% 1.31/1.10 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | (~ssPv1(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))),
% 1.31/1.10 inference(quant_intro,[status(thm)],[503])).
% 1.31/1.10 tff(505,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | (~ssPv1(W)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause29')).
% 1.31/1.11 tff(506,plain,
% 1.31/1.11 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))),
% 1.31/1.11 inference(modus_ponens,[status(thm)],[505, 504])).
% 1.31/1.11 tff(507,plain,
% 1.31/1.11 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))),
% 1.31/1.11 inference(modus_ponens,[status(thm)],[506, 502])).
% 1.31/1.11 tff(508,plain,(
% 1.31/1.11 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))),
% 1.31/1.11 inference(skolemize,[status(sab)],[507])).
% 1.31/1.11 tff(509,plain,
% 1.31/1.11 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))),
% 1.31/1.11 inference(modus_ponens,[status(thm)],[508, 501])).
% 1.31/1.11 tff(510,plain,
% 1.31/1.11 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.11 inference(rewrite,[status(thm)],[])).
% 1.31/1.11 tff(511,plain,
% 1.31/1.11 (((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.11 inference(rewrite,[status(thm)],[])).
% 1.31/1.11 tff(512,plain,
% 1.31/1.11 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.11 inference(monotonicity,[status(thm)],[511])).
% 1.31/1.11 tff(513,plain,
% 1.31/1.11 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.11 inference(transitivity,[status(thm)],[512, 510])).
% 1.31/1.11 tff(514,plain,
% 1.31/1.11 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.11 inference(quant_inst,[status(thm)],[])).
% 1.31/1.11 tff(515,plain,
% 1.31/1.11 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.11 inference(modus_ponens,[status(thm)],[514, 513])).
% 1.31/1.11 tff(516,plain,
% 1.31/1.11 ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.11 inference(unit_resolution,[status(thm)],[515, 509, 37, 442])).
% 1.31/1.11 tff(517,plain,
% 1.31/1.11 ($false),
% 1.31/1.11 inference(unit_resolution,[status(thm)],[516, 499, 498, 480, 479])).
% 1.31/1.11 tff(518,plain,(ssPv1(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.31/1.11 tff(519,plain,
% 1.31/1.11 (ssPv1(skf1(elem!0))),
% 1.31/1.11 inference(unit_resolution,[status(thm)],[518, 4, 3])).
% 1.31/1.11 tff(520,assumption,(~ssPv4(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.31/1.11 tff(521,plain,
% 1.31/1.11 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.11 inference(rewrite,[status(thm)],[])).
% 1.31/1.11 tff(522,plain,
% 1.31/1.11 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.11 inference(rewrite,[status(thm)],[])).
% 1.31/1.11 tff(523,plain,
% 1.31/1.11 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.11 inference(monotonicity,[status(thm)],[522])).
% 1.31/1.11 tff(524,plain,
% 1.31/1.11 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.11 inference(transitivity,[status(thm)],[523, 521])).
% 1.31/1.11 tff(525,plain,
% 1.31/1.11 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.11 inference(quant_inst,[status(thm)],[])).
% 1.31/1.11 tff(526,plain,
% 1.31/1.11 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.11 inference(modus_ponens,[status(thm)],[525, 524])).
% 1.31/1.11 tff(527,plain,
% 1.31/1.11 ((~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.11 inference(unit_resolution,[status(thm)],[526, 391, 37, 442])).
% 1.31/1.11 tff(528,plain,
% 1.31/1.11 ($false),
% 1.31/1.11 inference(unit_resolution,[status(thm)],[527, 450, 440, 352, 520])).
% 1.31/1.11 tff(529,plain,(ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.31/1.11 tff(530,plain,
% 1.31/1.11 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.11 inference(unit_resolution,[status(thm)],[529, 520, 352, 3])).
% 1.31/1.11 tff(531,plain,
% 1.31/1.11 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.31/1.11 inference(bind,[status(th)],[])).
% 1.31/1.11 tff(532,plain,
% 1.31/1.11 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.11 inference(quant_intro,[status(thm)],[531])).
% 1.31/1.11 tff(533,plain,
% 1.31/1.11 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.11 inference(rewrite,[status(thm)],[])).
% 1.31/1.11 tff(534,plain,
% 1.31/1.11 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssPv3(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> (((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))))), rewrite((((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(W))) <=> ((~ssPv3(V)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) <=> ((~ssPv3(V)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(Y)) <=> (((~ssPv3(V)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Y)))), rewrite((((~ssPv3(V)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssPv3(V)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssPv3(V)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(Y)) | ssPv3(W)) <=> ((ssPv1(Y) | (~ssPv3(V)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)))), rewrite(((ssPv1(Y) | (~ssPv3(V)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)) <=> (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(Y)) | ssPv3(W)) <=> (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.31/1.11 inference(bind,[status(th)],[])).
% 1.31/1.11 tff(535,plain,
% 1.31/1.11 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(Y)) | ssPv3(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.11 inference(quant_intro,[status(thm)],[534])).
% 1.31/1.11 tff(536,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv1(W))) | ssPv1(Y)) | ssPv3(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause19')).
% 1.31/1.11 tff(537,plain,
% 1.31/1.11 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.11 inference(modus_ponens,[status(thm)],[536, 535])).
% 1.31/1.11 tff(538,plain,
% 1.31/1.11 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.11 inference(modus_ponens,[status(thm)],[537, 533])).
% 1.31/1.11 tff(539,plain,(
% 1.31/1.11 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.11 inference(skolemize,[status(sab)],[538])).
% 1.31/1.11 tff(540,plain,
% 1.31/1.11 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.11 inference(modus_ponens,[status(thm)],[539, 532])).
% 1.31/1.11 tff(541,plain,
% 1.31/1.11 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))))))),
% 1.31/1.11 inference(rewrite,[status(thm)],[])).
% 1.31/1.11 tff(542,plain,
% 1.31/1.11 ((ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv3(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)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.11 inference(rewrite,[status(thm)],[])).
% 1.31/1.11 tff(543,plain,
% 1.31/1.11 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(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)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.11 inference(monotonicity,[status(thm)],[542])).
% 1.31/1.11 tff(544,plain,
% 1.31/1.11 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(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)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.11 inference(transitivity,[status(thm)],[543, 541])).
% 1.31/1.11 tff(545,plain,
% 1.31/1.11 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.11 inference(quant_inst,[status(thm)],[])).
% 1.31/1.11 tff(546,plain,
% 1.31/1.11 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(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))))))),
% 1.31/1.11 inference(modus_ponens,[status(thm)],[545, 544])).
% 1.31/1.11 tff(547,plain,
% 1.31/1.11 (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.11 inference(unit_resolution,[status(thm)],[546, 540, 37, 442])).
% 1.31/1.11 tff(548,plain,
% 1.31/1.11 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.11 inference(unit_resolution,[status(thm)],[547, 530, 3, 352])).
% 1.31/1.11 tff(549,plain,
% 1.31/1.11 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))))))),
% 1.31/1.11 inference(rewrite,[status(thm)],[])).
% 1.31/1.11 tff(550,plain,
% 1.31/1.11 ((ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0))))) <=> ((~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))))))),
% 1.31/1.11 inference(rewrite,[status(thm)],[])).
% 1.31/1.11 tff(551,plain,
% 1.31/1.11 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(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))))))))),
% 1.31/1.11 inference(monotonicity,[status(thm)],[550])).
% 1.31/1.11 tff(552,plain,
% 1.31/1.11 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(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)))))))),
% 1.31/1.11 inference(transitivity,[status(thm)],[551, 549])).
% 1.31/1.11 tff(553,plain,
% 1.31/1.11 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(elem!0)))))),
% 1.31/1.11 inference(quant_inst,[status(thm)],[])).
% 1.31/1.11 tff(554,plain,
% 1.31/1.11 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(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))))))),
% 1.31/1.11 inference(modus_ponens,[status(thm)],[553, 552])).
% 1.31/1.11 tff(555,plain,
% 1.31/1.11 ((~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.11 inference(unit_resolution,[status(thm)],[554, 110, 37, 442])).
% 1.31/1.11 tff(556,plain,
% 1.31/1.11 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.31/1.11 inference(unit_resolution,[status(thm)],[555, 548, 352, 530])).
% 1.31/1.11 tff(557,plain,
% 1.31/1.11 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X))) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X))))),
% 1.31/1.11 inference(bind,[status(th)],[])).
% 1.31/1.11 tff(558,plain,
% 1.31/1.11 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))),
% 1.31/1.11 inference(quant_intro,[status(thm)],[557])).
% 1.31/1.11 tff(559,plain,
% 1.31/1.11 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))),
% 1.31/1.11 inference(rewrite,[status(thm)],[])).
% 1.31/1.11 tff(560,plain,
% 1.31/1.11 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv2(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))) | ssPv2(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X))) | ssPv2(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(X)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv2(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(X))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv2(V)) | ssPv2(W)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(X))) | ssPv2(W)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(X))) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(X)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv2(V)) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(X))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv2(V)) | ssPv2(W)) | ssPv4(W)) <=> ((ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(X))) | ssPv4(W)))), rewrite(((ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(X))) | ssPv4(W)) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv2(V)) | ssPv2(W)) | ssPv4(W)) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))))),
% 1.31/1.11 inference(bind,[status(th)],[])).
% 1.31/1.11 tff(561,plain,
% 1.31/1.11 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv2(V)) | ssPv2(W)) | ssPv4(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))),
% 1.31/1.11 inference(quant_intro,[status(thm)],[560])).
% 1.31/1.11 tff(562,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | ssPv2(V)) | ssPv2(W)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause5')).
% 1.31/1.11 tff(563,plain,
% 1.31/1.11 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))),
% 1.31/1.11 inference(modus_ponens,[status(thm)],[562, 561])).
% 1.31/1.11 tff(564,plain,
% 1.31/1.11 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))),
% 1.31/1.11 inference(modus_ponens,[status(thm)],[563, 559])).
% 1.31/1.11 tff(565,plain,(
% 1.31/1.11 ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))),
% 1.31/1.11 inference(skolemize,[status(sab)],[564])).
% 1.31/1.11 tff(566,plain,
% 1.31/1.11 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))),
% 1.31/1.11 inference(modus_ponens,[status(thm)],[565, 558])).
% 1.31/1.11 tff(567,plain,
% 1.31/1.11 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(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(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(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)))))))),
% 1.31/1.11 inference(rewrite,[status(thm)],[])).
% 1.31/1.11 tff(568,plain,
% 1.31/1.11 ((ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))) <=> (ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(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)))))))),
% 1.31/1.11 inference(rewrite,[status(thm)],[])).
% 1.31/1.11 tff(569,plain,
% 1.31/1.11 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(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))))))))),
% 1.31/1.11 inference(monotonicity,[status(thm)],[568])).
% 1.31/1.11 tff(570,plain,
% 1.31/1.11 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(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)))))))),
% 1.31/1.12 inference(transitivity,[status(thm)],[569, 567])).
% 1.31/1.12 tff(571,plain,
% 1.31/1.12 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.12 inference(quant_inst,[status(thm)],[])).
% 1.31/1.12 tff(572,plain,
% 1.31/1.12 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(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))))))),
% 1.31/1.12 inference(modus_ponens,[status(thm)],[571, 570])).
% 1.31/1.12 tff(573,plain,
% 1.31/1.12 (ssPv4(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.12 inference(unit_resolution,[status(thm)],[572, 566, 37, 442])).
% 1.31/1.12 tff(574,plain,
% 1.31/1.12 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.12 inference(unit_resolution,[status(thm)],[573, 556, 4, 520])).
% 1.31/1.12 tff(575,plain,
% 1.31/1.12 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.31/1.12 inference(unit_resolution,[status(thm)],[117, 556, 3, 519])).
% 1.31/1.12 tff(576,plain,
% 1.31/1.12 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.12 inference(rewrite,[status(thm)],[])).
% 1.31/1.12 tff(577,plain,
% 1.31/1.12 ((ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.12 inference(rewrite,[status(thm)],[])).
% 1.31/1.12 tff(578,plain,
% 1.31/1.12 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.12 inference(monotonicity,[status(thm)],[577])).
% 1.31/1.12 tff(579,plain,
% 1.31/1.12 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.12 inference(transitivity,[status(thm)],[578, 576])).
% 1.31/1.12 tff(580,plain,
% 1.31/1.12 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.12 inference(quant_inst,[status(thm)],[])).
% 1.31/1.12 tff(581,plain,
% 1.31/1.12 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.12 inference(modus_ponens,[status(thm)],[580, 579])).
% 1.31/1.12 tff(582,plain,
% 1.31/1.12 (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.12 inference(unit_resolution,[status(thm)],[581, 341, 37, 442])).
% 1.31/1.12 tff(583,plain,
% 1.31/1.12 ($false),
% 1.31/1.12 inference(unit_resolution,[status(thm)],[582, 575, 574, 520, 530])).
% 1.31/1.12 tff(584,plain,(ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.31/1.12 tff(585,plain,
% 1.31/1.12 (ssPv4(skf1(skf1(elem!0)))),
% 1.31/1.12 inference(unit_resolution,[status(thm)],[584, 352, 4, 3])).
% 1.31/1.12 tff(586,assumption,(ssPv4(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.31/1.12 tff(587,assumption,(ssPv3(skf1(elem!0))), introduced(assumption)).
% 1.31/1.12 tff(588,plain,
% 1.31/1.12 (ssPv4(skf1(elem!0))),
% 1.31/1.12 inference(unit_resolution,[status(thm)],[329, 1, 3, 587])).
% 1.31/1.12 tff(589,plain,
% 1.31/1.12 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.12 inference(rewrite,[status(thm)],[])).
% 1.31/1.12 tff(590,plain,
% 1.31/1.12 ((ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(elem!0)))) <=> ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.12 inference(rewrite,[status(thm)],[])).
% 1.31/1.12 tff(591,plain,
% 1.31/1.12 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.12 inference(monotonicity,[status(thm)],[590])).
% 1.31/1.12 tff(592,plain,
% 1.31/1.12 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.12 inference(transitivity,[status(thm)],[591, 589])).
% 1.31/1.12 tff(593,plain,
% 1.31/1.12 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(elem!0))))),
% 1.31/1.12 inference(quant_inst,[status(thm)],[])).
% 1.31/1.12 tff(594,plain,
% 1.31/1.12 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.31/1.12 inference(modus_ponens,[status(thm)],[593, 592])).
% 1.31/1.12 tff(595,plain,
% 1.31/1.12 ((~ssPv1(skf1(elem!0))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.31/1.12 inference(unit_resolution,[status(thm)],[594, 468, 15, 37])).
% 1.31/1.12 tff(596,plain,
% 1.31/1.12 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.31/1.12 inference(unit_resolution,[status(thm)],[595, 588, 100, 1])).
% 1.31/1.12 tff(597,plain,
% 1.31/1.12 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.12 inference(rewrite,[status(thm)],[])).
% 1.31/1.12 tff(598,plain,
% 1.31/1.12 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0))))) <=> ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.12 inference(rewrite,[status(thm)],[])).
% 1.31/1.12 tff(599,plain,
% 1.31/1.12 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.12 inference(monotonicity,[status(thm)],[598])).
% 1.31/1.12 tff(600,plain,
% 1.31/1.12 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.12 inference(transitivity,[status(thm)],[599, 597])).
% 1.31/1.12 tff(601,plain,
% 1.31/1.12 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.31/1.12 inference(quant_inst,[status(thm)],[])).
% 1.31/1.12 tff(602,plain,
% 1.31/1.12 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.12 inference(modus_ponens,[status(thm)],[601, 600])).
% 1.31/1.12 tff(603,plain,
% 1.31/1.12 ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.12 inference(unit_resolution,[status(thm)],[602, 85, 37, 442])).
% 1.31/1.12 tff(604,plain,
% 1.31/1.12 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.12 inference(unit_resolution,[status(thm)],[603, 596, 586, 1])).
% 1.31/1.12 tff(605,plain,
% 1.31/1.12 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.12 inference(unit_resolution,[status(thm)],[547, 604, 3, 352])).
% 1.31/1.12 tff(606,plain,
% 1.31/1.12 ($false),
% 1.31/1.12 inference(unit_resolution,[status(thm)],[555, 605, 604, 352, 1])).
% 1.31/1.12 tff(607,plain,(ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssPv3(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.31/1.12 tff(608,plain,
% 1.31/1.12 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.31/1.12 inference(unit_resolution,[status(thm)],[607, 352, 3, 585, 519, 403])).
% 1.31/1.12 tff(609,plain,
% 1.31/1.12 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.31/1.12 inference(unit_resolution,[status(thm)],[117, 608, 3, 519])).
% 1.31/1.12 tff(610,plain,
% 1.31/1.12 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.12 inference(quant_inst,[status(thm)],[])).
% 1.31/1.12 tff(611,plain,
% 1.31/1.12 (ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.12 inference(unit_resolution,[status(thm)],[610, 13])).
% 1.31/1.12 tff(612,plain,
% 1.31/1.12 (^[W: $i, V: $i, U: $i, X: $i] : refl(((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V))))),
% 1.31/1.12 inference(bind,[status(th)],[])).
% 1.31/1.12 tff(613,plain,
% 1.31/1.12 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))),
% 1.31/1.12 inference(quant_intro,[status(thm)],[612])).
% 1.31/1.12 tff(614,plain,
% 1.31/1.12 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V))) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))),
% 1.31/1.12 inference(rewrite,[status(thm)],[])).
% 1.31/1.12 tff(615,plain,
% 1.31/1.12 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv4(V))) <=> ((~ssRr(U, V)) | (~ssPv4(V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> (((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))))), rewrite((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(V))))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, X))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(V)))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(V))))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(V))) | (~ssPv2(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(V))) | (~ssPv2(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv4(V)))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv4(V))))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv3(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv4(V))) | (~ssPv3(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(X)) | (~ssPv4(V))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(X)) | (~ssPv4(V)))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(X)) | (~ssPv4(V))))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv3(W))) | ssPv1(W)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(X)) | (~ssPv4(V))) | ssPv1(W)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(X)) | (~ssPv4(V))) | ssPv1(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv3(W))) | ssPv1(W)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))))),
% 1.31/1.12 inference(bind,[status(th)],[])).
% 1.31/1.12 tff(616,plain,
% 1.31/1.12 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv3(W))) | ssPv1(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))),
% 1.31/1.12 inference(quant_intro,[status(thm)],[615])).
% 1.31/1.12 tff(617,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssPv3(W))) | ssPv1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause10')).
% 1.31/1.12 tff(618,plain,
% 1.31/1.12 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))),
% 1.31/1.12 inference(modus_ponens,[status(thm)],[617, 616])).
% 1.31/1.12 tff(619,plain,
% 1.31/1.12 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))),
% 1.31/1.12 inference(modus_ponens,[status(thm)],[618, 614])).
% 1.31/1.12 tff(620,plain,(
% 1.31/1.12 ![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))),
% 1.31/1.12 inference(skolemize,[status(sab)],[619])).
% 1.31/1.12 tff(621,plain,
% 1.31/1.12 (![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))),
% 1.31/1.12 inference(modus_ponens,[status(thm)],[620, 613])).
% 1.31/1.12 tff(622,plain,
% 1.31/1.12 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.12 inference(rewrite,[status(thm)],[])).
% 1.31/1.12 tff(623,plain,
% 1.31/1.12 (((~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.12 inference(rewrite,[status(thm)],[])).
% 1.31/1.12 tff(624,plain,
% 1.31/1.12 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.31/1.12 inference(monotonicity,[status(thm)],[623])).
% 1.31/1.12 tff(625,plain,
% 1.31/1.12 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.12 inference(transitivity,[status(thm)],[624, 622])).
% 1.31/1.12 tff(626,plain,
% 1.31/1.12 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.12 inference(quant_inst,[status(thm)],[])).
% 1.31/1.12 tff(627,plain,
% 1.31/1.12 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.12 inference(modus_ponens,[status(thm)],[626, 625])).
% 1.31/1.12 tff(628,plain,
% 1.31/1.12 ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.12 inference(unit_resolution,[status(thm)],[627, 621, 442, 611])).
% 1.31/1.12 tff(629,plain,
% 1.31/1.12 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.12 inference(unit_resolution,[status(thm)],[628, 450, 609, 608])).
% 1.31/1.12 tff(630,plain,
% 1.31/1.12 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y))) <=> (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y))))),
% 1.31/1.12 inference(bind,[status(th)],[])).
% 1.31/1.12 tff(631,plain,
% 1.31/1.12 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.31/1.12 inference(quant_intro,[status(thm)],[630])).
% 1.31/1.12 tff(632,plain,
% 1.31/1.12 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.31/1.12 inference(rewrite,[status(thm)],[])).
% 1.31/1.12 tff(633,plain,
% 1.31/1.12 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(X))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) <=> (((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))))), rewrite((((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv4(V)) <=> (((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv4(V)))), rewrite((((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv4(V)) <=> (ssPv4(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv4(V)) <=> (ssPv4(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv4(V)) | ssPv3(Y)) <=> ((ssPv4(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv3(Y)))), rewrite(((ssPv4(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv3(Y)) <=> (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv4(V)) | ssPv3(Y)) <=> (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv4(V)) | ssPv3(Y)) | ssPv4(W)) <=> ((ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv4(W)))), rewrite(((ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv4(W)) <=> (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv4(V)) | ssPv3(Y)) | ssPv4(W)) <=> (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))))),
% 1.31/1.12 inference(bind,[status(th)],[])).
% 1.31/1.12 tff(634,plain,
% 1.31/1.12 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv4(V)) | ssPv3(Y)) | ssPv4(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.31/1.12 inference(quant_intro,[status(thm)],[633])).
% 1.31/1.12 tff(635,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | ssPv4(V)) | ssPv3(Y)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause14')).
% 1.31/1.12 tff(636,plain,
% 1.31/1.12 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.31/1.12 inference(modus_ponens,[status(thm)],[635, 634])).
% 1.31/1.12 tff(637,plain,
% 1.31/1.12 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.31/1.12 inference(modus_ponens,[status(thm)],[636, 632])).
% 1.31/1.12 tff(638,plain,(
% 1.31/1.12 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.31/1.12 inference(skolemize,[status(sab)],[637])).
% 1.31/1.12 tff(639,plain,
% 1.31/1.12 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))),
% 1.31/1.12 inference(modus_ponens,[status(thm)],[638, 631])).
% 1.31/1.12 tff(640,plain,
% 1.31/1.12 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.12 inference(rewrite,[status(thm)],[])).
% 1.31/1.12 tff(641,plain,
% 1.31/1.12 ((ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.13 inference(rewrite,[status(thm)],[])).
% 1.31/1.13 tff(642,plain,
% 1.31/1.13 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.31/1.13 inference(monotonicity,[status(thm)],[641])).
% 1.31/1.13 tff(643,plain,
% 1.31/1.13 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.13 inference(transitivity,[status(thm)],[642, 640])).
% 1.31/1.13 tff(644,plain,
% 1.31/1.13 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.13 inference(quant_inst,[status(thm)],[])).
% 1.31/1.13 tff(645,plain,
% 1.31/1.13 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.13 inference(modus_ponens,[status(thm)],[644, 643])).
% 1.31/1.13 tff(646,plain,
% 1.31/1.13 (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.13 inference(unit_resolution,[status(thm)],[645, 639, 442, 611])).
% 1.31/1.13 tff(647,plain,
% 1.31/1.13 ($false),
% 1.31/1.13 inference(unit_resolution,[status(thm)],[646, 629, 458, 450, 440])).
% 1.31/1.13 tff(648,plain,(ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.31/1.13 tff(649,plain,
% 1.31/1.13 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.13 inference(unit_resolution,[status(thm)],[648, 439, 4, 3])).
% 1.31/1.13 tff(650,plain,
% 1.31/1.13 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.13 inference(unit_resolution,[status(thm)],[547, 649, 3, 439])).
% 1.31/1.13 tff(651,plain,
% 1.31/1.13 (ssPv4(skf1(skf1(elem!0)))),
% 1.31/1.13 inference(unit_resolution,[status(thm)],[584, 439, 4, 3])).
% 1.31/1.13 tff(652,plain,
% 1.31/1.13 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.31/1.13 inference(unit_resolution,[status(thm)],[607, 439, 3, 651, 519, 403])).
% 1.31/1.13 tff(653,plain,
% 1.31/1.13 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.31/1.13 inference(unit_resolution,[status(thm)],[516, 649, 439, 652])).
% 1.31/1.13 tff(654,plain,
% 1.31/1.13 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.31/1.13 inference(unit_resolution,[status(thm)],[117, 652, 3, 519])).
% 1.31/1.13 tff(655,plain,
% 1.31/1.13 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))) <=> (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))))),
% 1.31/1.13 inference(bind,[status(th)],[])).
% 1.31/1.13 tff(656,plain,
% 1.31/1.13 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))),
% 1.31/1.13 inference(quant_intro,[status(thm)],[655])).
% 1.31/1.13 tff(657,plain,
% 1.31/1.13 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))),
% 1.31/1.13 inference(rewrite,[status(thm)],[])).
% 1.31/1.13 tff(658,plain,
% 1.31/1.13 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) <=> (((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(W))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | (~ssPv3(W))) <=> (((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) | (~ssPv3(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | (~ssPv3(W))) | ssPv4(V)) <=> (((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))) | ssPv4(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))) | ssPv4(V)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | (~ssPv3(W))) | ssPv4(V)) <=> (ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | (~ssPv3(W))) | ssPv4(V)) | ssPv2(Y)) <=> ((ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))) | ssPv2(Y)))), rewrite(((ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W))) | ssPv2(Y)) <=> (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | (~ssPv3(W))) | ssPv4(V)) | ssPv2(Y)) <=> (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))))),
% 1.31/1.13 inference(bind,[status(th)],[])).
% 1.31/1.13 tff(659,plain,
% 1.31/1.13 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | (~ssPv3(W))) | ssPv4(V)) | ssPv2(Y)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))),
% 1.31/1.13 inference(quant_intro,[status(thm)],[658])).
% 1.31/1.13 tff(660,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | (~ssPv3(W))) | ssPv4(V)) | ssPv2(Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause21')).
% 1.31/1.13 tff(661,plain,
% 1.31/1.13 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))),
% 1.31/1.13 inference(modus_ponens,[status(thm)],[660, 659])).
% 1.31/1.13 tff(662,plain,
% 1.31/1.13 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))),
% 1.31/1.13 inference(modus_ponens,[status(thm)],[661, 657])).
% 1.31/1.13 tff(663,plain,(
% 1.31/1.13 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))),
% 1.31/1.13 inference(skolemize,[status(sab)],[662])).
% 1.31/1.13 tff(664,plain,
% 1.31/1.13 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))),
% 1.31/1.13 inference(modus_ponens,[status(thm)],[663, 656])).
% 1.31/1.13 tff(665,plain,
% 1.31/1.13 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | ((~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.13 inference(rewrite,[status(thm)],[])).
% 1.31/1.13 tff(666,plain,
% 1.31/1.13 ((ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv2(skf1(elem!0)))) <=> ((~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.13 inference(rewrite,[status(thm)],[])).
% 1.31/1.13 tff(667,plain,
% 1.31/1.13 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv2(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | ((~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.13 inference(monotonicity,[status(thm)],[666])).
% 1.31/1.13 tff(668,plain,
% 1.31/1.13 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv2(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.13 inference(transitivity,[status(thm)],[667, 665])).
% 1.31/1.13 tff(669,plain,
% 1.31/1.13 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssPv2(skf1(elem!0))))),
% 1.31/1.13 inference(quant_inst,[status(thm)],[])).
% 1.31/1.13 tff(670,plain,
% 1.31/1.13 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.31/1.13 inference(modus_ponens,[status(thm)],[669, 668])).
% 1.31/1.13 tff(671,plain,
% 1.31/1.13 ((~ssPv2(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.31/1.13 inference(unit_resolution,[status(thm)],[670, 664, 15, 37])).
% 1.31/1.13 tff(672,plain,
% 1.31/1.13 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.31/1.13 inference(unit_resolution,[status(thm)],[671, 653, 421, 403])).
% 1.31/1.13 tff(673,plain,
% 1.31/1.13 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.13 inference(rewrite,[status(thm)],[])).
% 1.31/1.13 tff(674,plain,
% 1.31/1.13 ((ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.13 inference(rewrite,[status(thm)],[])).
% 1.31/1.13 tff(675,plain,
% 1.31/1.13 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.13 inference(monotonicity,[status(thm)],[674])).
% 1.31/1.13 tff(676,plain,
% 1.31/1.13 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.13 inference(transitivity,[status(thm)],[675, 673])).
% 1.31/1.13 tff(677,plain,
% 1.31/1.13 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.13 inference(quant_inst,[status(thm)],[])).
% 1.31/1.13 tff(678,plain,
% 1.31/1.13 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.13 inference(modus_ponens,[status(thm)],[677, 676])).
% 1.31/1.13 tff(679,plain,
% 1.31/1.13 (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.13 inference(unit_resolution,[status(thm)],[678, 164, 37, 442])).
% 1.31/1.13 tff(680,plain,
% 1.31/1.13 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.13 inference(unit_resolution,[status(thm)],[679, 653, 4, 650])).
% 1.31/1.13 tff(681,plain,
% 1.31/1.13 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.13 inference(rewrite,[status(thm)],[])).
% 1.31/1.13 tff(682,plain,
% 1.31/1.13 ((ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.13 inference(rewrite,[status(thm)],[])).
% 1.31/1.13 tff(683,plain,
% 1.31/1.13 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.13 inference(monotonicity,[status(thm)],[682])).
% 1.31/1.13 tff(684,plain,
% 1.31/1.13 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.13 inference(transitivity,[status(thm)],[683, 681])).
% 1.31/1.13 tff(685,plain,
% 1.31/1.13 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.13 inference(quant_inst,[status(thm)],[])).
% 1.31/1.13 tff(686,plain,
% 1.31/1.13 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.13 inference(modus_ponens,[status(thm)],[685, 684])).
% 1.31/1.13 tff(687,plain,
% 1.31/1.13 (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.13 inference(unit_resolution,[status(thm)],[686, 413, 442, 611])).
% 1.31/1.13 tff(688,plain,
% 1.31/1.13 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.13 inference(unit_resolution,[status(thm)],[687, 680, 649, 653])).
% 1.31/1.13 tff(689,plain,
% 1.31/1.13 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))) <=> (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))))),
% 1.31/1.13 inference(bind,[status(th)],[])).
% 1.31/1.13 tff(690,plain,
% 1.31/1.13 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))),
% 1.31/1.13 inference(quant_intro,[status(thm)],[689])).
% 1.31/1.13 tff(691,plain,
% 1.31/1.13 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))),
% 1.31/1.13 inference(rewrite,[status(thm)],[])).
% 1.31/1.13 tff(692,plain,
% 1.31/1.13 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv2(V))) <=> ((~ssRr(U, V)) | (~ssPv2(V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> (((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))))), rewrite((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(X, Y))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) <=> (((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv2(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv2(W))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) <=> ((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | ssPv3(Y)) <=> (((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))) | ssPv3(Y)))), rewrite((((~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | ssPv3(Y)) | ssPv1(W)) <=> ((ssPv3(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))) | ssPv1(W)))), rewrite(((ssPv3(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V))) | ssPv1(W)) <=> (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))), (((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | ssPv3(Y)) | ssPv1(W)) <=> (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))))),
% 1.31/1.13 inference(bind,[status(th)],[])).
% 1.31/1.13 tff(693,plain,
% 1.31/1.13 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | ssPv3(Y)) | ssPv1(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))),
% 1.31/1.13 inference(quant_intro,[status(thm)],[692])).
% 1.31/1.13 tff(694,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssPv2(W))) | ssPv3(Y)) | ssPv1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause23')).
% 1.31/1.13 tff(695,plain,
% 1.31/1.13 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))),
% 1.31/1.13 inference(modus_ponens,[status(thm)],[694, 693])).
% 1.31/1.13 tff(696,plain,
% 1.31/1.13 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))),
% 1.31/1.13 inference(modus_ponens,[status(thm)],[695, 691])).
% 1.31/1.13 tff(697,plain,(
% 1.31/1.13 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))),
% 1.31/1.13 inference(skolemize,[status(sab)],[696])).
% 1.31/1.13 tff(698,plain,
% 1.31/1.13 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))),
% 1.31/1.13 inference(modus_ponens,[status(thm)],[697, 690])).
% 1.31/1.13 tff(699,plain,
% 1.31/1.13 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0))))))))),
% 1.31/1.13 inference(rewrite,[status(thm)],[])).
% 1.31/1.13 tff(700,plain,
% 1.31/1.13 ((ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0))))))))),
% 1.31/1.13 inference(rewrite,[status(thm)],[])).
% 1.31/1.13 tff(701,plain,
% 1.31/1.13 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0)))))))))),
% 1.31/1.13 inference(monotonicity,[status(thm)],[700])).
% 1.31/1.13 tff(702,plain,
% 1.31/1.13 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0))))))))),
% 1.31/1.14 inference(transitivity,[status(thm)],[701, 699])).
% 1.31/1.14 tff(703,plain,
% 1.31/1.14 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.14 inference(quant_inst,[status(thm)],[])).
% 1.31/1.14 tff(704,plain,
% 1.31/1.14 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0)))))))),
% 1.31/1.14 inference(modus_ponens,[status(thm)],[703, 702])).
% 1.31/1.14 tff(705,plain,
% 1.31/1.14 ((~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.14 inference(unit_resolution,[status(thm)],[704, 698, 442, 611])).
% 1.31/1.14 tff(706,plain,
% 1.31/1.14 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.14 inference(unit_resolution,[status(thm)],[705, 688, 672, 654])).
% 1.31/1.14 tff(707,plain,
% 1.31/1.14 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.31/1.14 inference(bind,[status(th)],[])).
% 1.31/1.14 tff(708,plain,
% 1.31/1.14 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.14 inference(quant_intro,[status(thm)],[707])).
% 1.31/1.14 tff(709,plain,
% 1.31/1.14 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.14 inference(rewrite,[status(thm)],[])).
% 1.31/1.14 tff(710,plain,
% 1.31/1.14 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv4(V))) <=> ((~ssPv4(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> (((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) <=> (((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(Y))))), rewrite((((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(Y))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) <=> (((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) <=> (((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Z))))), rewrite((((~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Z))) <=> ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) <=> ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv4(W)) <=> (((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)))), rewrite((((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)) <=> ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv4(W)) <=> ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.31/1.14 inference(bind,[status(th)],[])).
% 1.31/1.14 tff(711,plain,
% 1.31/1.14 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv4(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.14 inference(quant_intro,[status(thm)],[710])).
% 1.31/1.14 tff(712,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause46')).
% 1.31/1.14 tff(713,plain,
% 1.31/1.14 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.14 inference(modus_ponens,[status(thm)],[712, 711])).
% 1.31/1.14 tff(714,plain,
% 1.31/1.14 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.14 inference(modus_ponens,[status(thm)],[713, 709])).
% 1.31/1.14 tff(715,plain,(
% 1.31/1.14 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.14 inference(skolemize,[status(sab)],[714])).
% 1.31/1.14 tff(716,plain,
% 1.31/1.14 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.14 inference(modus_ponens,[status(thm)],[715, 708])).
% 1.31/1.14 tff(717,plain,
% 1.31/1.14 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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(elem!0))))))))),
% 1.31/1.14 inference(rewrite,[status(thm)],[])).
% 1.31/1.14 tff(718,plain,
% 1.31/1.14 (((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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(elem!0))))))))),
% 1.31/1.14 inference(rewrite,[status(thm)],[])).
% 1.31/1.14 tff(719,plain,
% 1.31/1.14 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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(elem!0)))))))))),
% 1.31/1.14 inference(monotonicity,[status(thm)],[718])).
% 1.31/1.14 tff(720,plain,
% 1.31/1.14 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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(elem!0))))))))),
% 1.31/1.14 inference(transitivity,[status(thm)],[719, 717])).
% 1.31/1.14 tff(721,plain,
% 1.31/1.14 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.14 inference(quant_inst,[status(thm)],[])).
% 1.31/1.14 tff(722,plain,
% 1.31/1.14 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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(elem!0)))))))),
% 1.31/1.14 inference(modus_ponens,[status(thm)],[721, 720])).
% 1.31/1.14 tff(723,plain,
% 1.31/1.14 (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.14 inference(unit_resolution,[status(thm)],[722, 716, 442, 611])).
% 1.31/1.14 tff(724,plain,
% 1.31/1.14 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.14 inference(unit_resolution,[status(thm)],[723, 688, 653, 650])).
% 1.31/1.14 tff(725,plain,
% 1.31/1.14 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl(((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.31/1.14 inference(bind,[status(th)],[])).
% 1.31/1.14 tff(726,plain,
% 1.31/1.14 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.14 inference(quant_intro,[status(thm)],[725])).
% 1.31/1.14 tff(727,plain,
% 1.31/1.14 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.14 inference(rewrite,[status(thm)],[])).
% 1.31/1.14 tff(728,plain,
% 1.31/1.14 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssPv3(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv1(Z))) <=> ((~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) <=> ((~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv4(Y)) <=> (((~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Y)))), rewrite((((~ssPv1(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Y)) <=> ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv4(Y)) <=> ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv4(Y)) | ssPv4(W)) <=> (((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)))), rewrite((((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(W)) <=> ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv4(Y)) | ssPv4(W)) <=> ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.31/1.14 inference(bind,[status(th)],[])).
% 1.31/1.14 tff(729,plain,
% 1.31/1.14 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv4(Y)) | ssPv4(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.14 inference(quant_intro,[status(thm)],[728])).
% 1.31/1.14 tff(730,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv1(Z))) | ssPv4(Y)) | ssPv4(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause39')).
% 1.31/1.14 tff(731,plain,
% 1.31/1.14 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.14 inference(modus_ponens,[status(thm)],[730, 729])).
% 1.31/1.14 tff(732,plain,
% 1.31/1.14 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.14 inference(modus_ponens,[status(thm)],[731, 727])).
% 1.31/1.14 tff(733,plain,(
% 1.31/1.14 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.14 inference(skolemize,[status(sab)],[732])).
% 1.31/1.14 tff(734,plain,
% 1.31/1.14 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.14 inference(modus_ponens,[status(thm)],[733, 726])).
% 1.31/1.14 tff(735,plain,
% 1.31/1.14 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))))),
% 1.31/1.14 inference(rewrite,[status(thm)],[])).
% 1.31/1.14 tff(736,plain,
% 1.31/1.14 (((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))))),
% 1.31/1.14 inference(rewrite,[status(thm)],[])).
% 1.31/1.14 tff(737,plain,
% 1.31/1.14 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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)))))))))),
% 1.31/1.14 inference(monotonicity,[status(thm)],[736])).
% 1.31/1.14 tff(738,plain,
% 1.31/1.14 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))))),
% 1.31/1.14 inference(transitivity,[status(thm)],[737, 735])).
% 1.31/1.14 tff(739,plain,
% 1.31/1.14 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.14 inference(quant_inst,[status(thm)],[])).
% 1.31/1.14 tff(740,plain,
% 1.31/1.14 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.14 inference(modus_ponens,[status(thm)],[739, 738])).
% 1.31/1.14 tff(741,plain,
% 1.31/1.14 (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.14 inference(unit_resolution,[status(thm)],[740, 734, 442, 611])).
% 1.31/1.14 tff(742,plain,
% 1.31/1.14 ($false),
% 1.31/1.14 inference(unit_resolution,[status(thm)],[741, 724, 706, 653, 650])).
% 1.31/1.14 tff(743,plain,(ssPv4(elem!0) | ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.31/1.14 tff(744,plain,
% 1.31/1.14 (ssPv4(elem!0)),
% 1.31/1.14 inference(unit_resolution,[status(thm)],[743, 4, 3])).
% 1.31/1.14 tff(745,plain,
% 1.31/1.14 (~ssPv1(elem!0)),
% 1.31/1.14 inference(unit_resolution,[status(thm)],[475, 744, 4, 3])).
% 1.31/1.14 tff(746,plain,
% 1.31/1.14 (ssPv4(skf1(skf1(elem!0)))),
% 1.31/1.14 inference(unit_resolution,[status(thm)],[280, 744, 745, 403])).
% 1.31/1.14 tff(747,plain,
% 1.31/1.14 (~ssPv4(skf1(elem!0))),
% 1.31/1.14 inference(unit_resolution,[status(thm)],[298, 745, 746, 3])).
% 1.31/1.14 tff(748,plain,
% 1.31/1.14 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.31/1.14 inference(unit_resolution,[status(thm)],[329, 747, 3, 403])).
% 1.31/1.14 tff(749,plain,
% 1.31/1.14 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.31/1.14 inference(unit_resolution,[status(thm)],[117, 748, 3, 519])).
% 1.31/1.14 tff(750,plain,
% 1.31/1.14 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.31/1.14 inference(unit_resolution,[status(thm)],[497, 749, 403, 747])).
% 1.31/1.14 tff(751,plain,
% 1.31/1.14 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y))) <=> ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y))))),
% 1.31/1.14 inference(bind,[status(th)],[])).
% 1.31/1.14 tff(752,plain,
% 1.31/1.14 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.31/1.14 inference(quant_intro,[status(thm)],[751])).
% 1.31/1.14 tff(753,plain,
% 1.31/1.14 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.31/1.14 inference(rewrite,[status(thm)],[])).
% 1.31/1.14 tff(754,plain,
% 1.31/1.14 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv4(V))) <=> ((~ssPv4(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> (((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(X))))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(X))) <=> ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) <=> ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) <=> (((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))))), rewrite((((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))) <=> ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) <=> ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) <=> (((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv3(Y))))), rewrite((((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv3(Y))) <=> ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) <=> ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | ssPv2(W)) <=> (((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))) | ssPv2(W)))), rewrite((((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))) | ssPv2(W)) <=> ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | ssPv2(W)) <=> ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))))),
% 1.31/1.14 inference(bind,[status(th)],[])).
% 1.31/1.14 tff(755,plain,
% 1.31/1.14 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | ssPv2(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.31/1.14 inference(quant_intro,[status(thm)],[754])).
% 1.31/1.14 tff(756,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | ssPv2(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause28')).
% 1.31/1.14 tff(757,plain,
% 1.31/1.14 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.31/1.14 inference(modus_ponens,[status(thm)],[756, 755])).
% 1.31/1.14 tff(758,plain,
% 1.31/1.14 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.31/1.14 inference(modus_ponens,[status(thm)],[757, 753])).
% 1.31/1.14 tff(759,plain,(
% 1.31/1.14 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.31/1.14 inference(skolemize,[status(sab)],[758])).
% 1.31/1.14 tff(760,plain,
% 1.31/1.14 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.31/1.14 inference(modus_ponens,[status(thm)],[759, 752])).
% 1.31/1.14 tff(761,plain,
% 1.31/1.14 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.14 inference(rewrite,[status(thm)],[])).
% 1.31/1.14 tff(762,plain,
% 1.31/1.14 (((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))) <=> (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.14 inference(rewrite,[status(thm)],[])).
% 1.31/1.14 tff(763,plain,
% 1.31/1.14 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.14 inference(monotonicity,[status(thm)],[762])).
% 1.31/1.14 tff(764,plain,
% 1.31/1.14 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.14 inference(transitivity,[status(thm)],[763, 761])).
% 1.31/1.14 tff(765,plain,
% 1.31/1.14 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.15 inference(quant_inst,[status(thm)],[])).
% 1.31/1.15 tff(766,plain,
% 1.31/1.15 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.15 inference(modus_ponens,[status(thm)],[765, 764])).
% 1.31/1.15 tff(767,plain,
% 1.31/1.15 (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.15 inference(unit_resolution,[status(thm)],[766, 760, 37, 442])).
% 1.31/1.15 tff(768,plain,
% 1.31/1.15 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.15 inference(unit_resolution,[status(thm)],[767, 750, 4, 748])).
% 1.31/1.15 tff(769,plain,
% 1.31/1.15 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv3(skf1(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, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv3(skf1(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)))))))),
% 1.31/1.15 inference(rewrite,[status(thm)],[])).
% 1.31/1.15 tff(770,plain,
% 1.31/1.15 (((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0))))) <=> (ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv3(skf1(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)))))))),
% 1.31/1.15 inference(rewrite,[status(thm)],[])).
% 1.31/1.15 tff(771,plain,
% 1.31/1.15 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv3(skf1(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))))))))),
% 1.31/1.15 inference(monotonicity,[status(thm)],[770])).
% 1.31/1.15 tff(772,plain,
% 1.31/1.15 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv3(skf1(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)))))))),
% 1.31/1.15 inference(transitivity,[status(thm)],[771, 769])).
% 1.31/1.15 tff(773,plain,
% 1.31/1.15 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.31/1.15 inference(quant_inst,[status(thm)],[])).
% 1.31/1.15 tff(774,plain,
% 1.31/1.15 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv3(skf1(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))))))),
% 1.31/1.15 inference(modus_ponens,[status(thm)],[773, 772])).
% 1.31/1.15 tff(775,plain,
% 1.31/1.15 (ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.15 inference(unit_resolution,[status(thm)],[774, 273, 37, 442])).
% 1.31/1.15 tff(776,plain,
% 1.31/1.15 (ssPv1(skf1(skf1(elem!0)))),
% 1.31/1.15 inference(unit_resolution,[status(thm)],[775, 768, 746, 748])).
% 1.31/1.15 tff(777,plain,
% 1.31/1.15 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y))) <=> ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y))))),
% 1.31/1.15 inference(bind,[status(th)],[])).
% 1.31/1.15 tff(778,plain,
% 1.31/1.15 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.31/1.15 inference(quant_intro,[status(thm)],[777])).
% 1.31/1.15 tff(779,plain,
% 1.31/1.15 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.31/1.15 inference(rewrite,[status(thm)],[])).
% 1.31/1.15 tff(780,plain,
% 1.31/1.15 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv1(V))) <=> ((~ssPv1(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> (((~ssPv1(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv1(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) <=> ((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv1(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) <=> (((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(X))))), rewrite((((~ssPv1(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv4(X))) <=> ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) <=> ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) <=> (((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))))), rewrite((((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))) <=> ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) <=> ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) <=> (((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv3(Y))))), rewrite((((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv3(Y))) <=> ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))), ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) <=> ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))))), (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | ssPv2(W)) <=> (((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))) | ssPv2(W)))), rewrite((((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y))) | ssPv2(W)) <=> ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))), (((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | ssPv2(W)) <=> ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))))),
% 1.31/1.15 inference(bind,[status(th)],[])).
% 1.31/1.15 tff(781,plain,
% 1.31/1.15 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | ssPv2(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.31/1.15 inference(quant_intro,[status(thm)],[780])).
% 1.31/1.15 tff(782,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv1(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv4(X))) | (~ssRr(W, Y))) | (~ssPv3(Y))) | ssPv2(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause26')).
% 1.31/1.15 tff(783,plain,
% 1.31/1.15 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.31/1.15 inference(modus_ponens,[status(thm)],[782, 781])).
% 1.31/1.15 tff(784,plain,
% 1.31/1.15 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.31/1.15 inference(modus_ponens,[status(thm)],[783, 779])).
% 1.31/1.15 tff(785,plain,(
% 1.31/1.15 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.31/1.15 inference(skolemize,[status(sab)],[784])).
% 1.31/1.15 tff(786,plain,
% 1.31/1.15 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))),
% 1.31/1.15 inference(modus_ponens,[status(thm)],[785, 778])).
% 1.31/1.15 tff(787,plain,
% 1.31/1.15 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.15 inference(rewrite,[status(thm)],[])).
% 1.31/1.15 tff(788,plain,
% 1.31/1.15 (((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))) <=> (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.15 inference(rewrite,[status(thm)],[])).
% 1.31/1.15 tff(789,plain,
% 1.31/1.15 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.15 inference(monotonicity,[status(thm)],[788])).
% 1.31/1.15 tff(790,plain,
% 1.31/1.15 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.15 inference(transitivity,[status(thm)],[789, 787])).
% 1.31/1.15 tff(791,plain,
% 1.31/1.15 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.15 inference(quant_inst,[status(thm)],[])).
% 1.31/1.15 tff(792,plain,
% 1.31/1.15 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.15 inference(modus_ponens,[status(thm)],[791, 790])).
% 1.31/1.15 tff(793,plain,
% 1.31/1.15 (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.15 inference(unit_resolution,[status(thm)],[792, 786, 37, 442])).
% 1.31/1.15 tff(794,plain,
% 1.31/1.15 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.15 inference(unit_resolution,[status(thm)],[793, 750, 4, 748])).
% 1.31/1.15 tff(795,plain,
% 1.31/1.15 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.15 inference(unit_resolution,[status(thm)],[547, 794, 3, 776])).
% 1.31/1.15 tff(796,plain,
% 1.31/1.15 ($false),
% 1.31/1.15 inference(unit_resolution,[status(thm)],[648, 795, 776, 4, 3])).
% 1.31/1.15 tff(797,plain,(ssPv2(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.31/1.15 tff(798,plain,
% 1.31/1.15 (ssPv2(skf1(skf1(elem!0)))),
% 1.31/1.15 inference(unit_resolution,[status(thm)],[797, 3])).
% 1.31/1.15 tff(799,plain,
% 1.31/1.15 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.31/1.15 inference(rewrite,[status(thm)],[])).
% 1.31/1.15 tff(800,plain,
% 1.31/1.15 ((ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0)))) <=> (ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.31/1.15 inference(rewrite,[status(thm)],[])).
% 1.31/1.15 tff(801,plain,
% 1.31/1.15 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.15 inference(monotonicity,[status(thm)],[800])).
% 1.31/1.15 tff(802,plain,
% 1.31/1.15 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.31/1.15 inference(transitivity,[status(thm)],[801, 799])).
% 1.31/1.15 tff(803,plain,
% 1.31/1.15 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))),
% 1.31/1.15 inference(quant_inst,[status(thm)],[])).
% 1.31/1.15 tff(804,plain,
% 1.31/1.15 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.31/1.15 inference(modus_ponens,[status(thm)],[803, 802])).
% 1.31/1.15 tff(805,plain,
% 1.31/1.15 (ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.31/1.15 inference(unit_resolution,[status(thm)],[804, 85, 15, 37])).
% 1.31/1.15 tff(806,plain,
% 1.31/1.15 (~ssPv4(skf1(elem!0))),
% 1.31/1.15 inference(unit_resolution,[status(thm)],[805, 1, 3, 798])).
% 1.31/1.15 tff(807,plain,
% 1.31/1.15 (~ssPv3(skf1(elem!0))),
% 1.31/1.15 inference(unit_resolution,[status(thm)],[329, 806, 3, 1])).
% 1.31/1.15 tff(808,assumption,(ssPv2(skf1(skf1(elem!0)))), introduced(assumption)).
% 1.31/1.15 tff(809,assumption,(~ssPv2(skf1(elem!0))), introduced(assumption)).
% 1.31/1.15 tff(810,plain,
% 1.31/1.15 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)) <=> (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)))),
% 1.31/1.15 inference(bind,[status(th)],[])).
% 1.31/1.15 tff(811,plain,
% 1.31/1.15 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.31/1.15 inference(quant_intro,[status(thm)],[810])).
% 1.31/1.15 tff(812,plain,
% 1.31/1.15 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.31/1.15 inference(rewrite,[status(thm)],[])).
% 1.31/1.15 tff(813,plain,
% 1.31/1.15 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv4(V))) <=> ((~ssPv4(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> (((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv4(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv3(Y)) <=> (((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(Y)))), rewrite((((~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv3(Y)) <=> (ssPv3(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv3(Y)) | ssPv1(W)) <=> ((ssPv3(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)))), rewrite(((ssPv3(Y) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)) <=> (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv3(Y)) | ssPv1(W)) <=> (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv3(Y)) | ssPv1(W)) | ssPv2(W)) <=> ((ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)))), rewrite(((ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)) <=> (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv3(Y)) | ssPv1(W)) | ssPv2(W)) <=> (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))))),
% 1.31/1.15 inference(bind,[status(th)],[])).
% 1.31/1.15 tff(814,plain,
% 1.31/1.15 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv3(Y)) | ssPv1(W)) | ssPv2(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.31/1.15 inference(quant_intro,[status(thm)],[813])).
% 1.31/1.15 tff(815,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | ssPv3(Y)) | ssPv1(W)) | ssPv2(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause16')).
% 1.31/1.15 tff(816,plain,
% 1.31/1.15 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.31/1.15 inference(modus_ponens,[status(thm)],[815, 814])).
% 1.31/1.15 tff(817,plain,
% 1.31/1.15 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.31/1.15 inference(modus_ponens,[status(thm)],[816, 812])).
% 1.31/1.15 tff(818,plain,(
% 1.31/1.15 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.31/1.15 inference(skolemize,[status(sab)],[817])).
% 1.31/1.15 tff(819,plain,
% 1.31/1.15 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.31/1.15 inference(modus_ponens,[status(thm)],[818, 811])).
% 1.31/1.15 tff(820,plain,
% 1.31/1.15 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.15 inference(rewrite,[status(thm)],[])).
% 1.31/1.15 tff(821,plain,
% 1.31/1.15 ((ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0))) <=> (ssPv2(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.15 inference(rewrite,[status(thm)],[])).
% 1.31/1.15 tff(822,plain,
% 1.31/1.15 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.15 inference(monotonicity,[status(thm)],[821])).
% 1.31/1.15 tff(823,plain,
% 1.31/1.15 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.15 inference(transitivity,[status(thm)],[822, 820])).
% 1.31/1.15 tff(824,plain,
% 1.31/1.15 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)))),
% 1.31/1.15 inference(quant_inst,[status(thm)],[])).
% 1.31/1.15 tff(825,plain,
% 1.31/1.15 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.15 inference(modus_ponens,[status(thm)],[824, 823])).
% 1.31/1.16 tff(826,plain,
% 1.31/1.16 (ssPv2(skf1(elem!0)) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[825, 819, 15, 37])).
% 1.31/1.16 tff(827,plain,
% 1.31/1.16 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[826, 1, 809, 6])).
% 1.31/1.16 tff(828,plain,
% 1.31/1.16 (~ssPv4(skf1(elem!0))),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[805, 1, 3, 808])).
% 1.31/1.16 tff(829,plain,
% 1.31/1.16 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.16 inference(rewrite,[status(thm)],[])).
% 1.31/1.16 tff(830,plain,
% 1.31/1.16 ((ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> (ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.16 inference(rewrite,[status(thm)],[])).
% 1.31/1.16 tff(831,plain,
% 1.31/1.16 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.16 inference(monotonicity,[status(thm)],[830])).
% 1.31/1.16 tff(832,plain,
% 1.31/1.16 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.16 inference(transitivity,[status(thm)],[831, 829])).
% 1.31/1.16 tff(833,plain,
% 1.31/1.16 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.31/1.16 inference(quant_inst,[status(thm)],[])).
% 1.31/1.16 tff(834,plain,
% 1.31/1.16 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.31/1.16 inference(modus_ponens,[status(thm)],[833, 832])).
% 1.31/1.16 tff(835,plain,
% 1.31/1.16 (ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[834, 639, 15, 37])).
% 1.31/1.16 tff(836,plain,
% 1.31/1.16 ($false),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[835, 828, 827, 3, 808])).
% 1.31/1.16 tff(837,plain,(ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.31/1.16 tff(838,plain,
% 1.31/1.16 (ssPv2(skf1(elem!0))),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[837, 1, 798, 6, 3])).
% 1.31/1.16 tff(839,plain,
% 1.31/1.16 (ssPv2(skf1(skf1(elem!0)))),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[402, 5, 3])).
% 1.31/1.16 tff(840,plain,
% 1.31/1.16 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.31/1.16 inference(rewrite,[status(thm)],[])).
% 1.31/1.16 tff(841,plain,
% 1.31/1.16 ((ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssPv2(skf1(skf1(elem!0))))) <=> (ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.31/1.16 inference(rewrite,[status(thm)],[])).
% 1.31/1.16 tff(842,plain,
% 1.31/1.16 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.31/1.16 inference(monotonicity,[status(thm)],[841])).
% 1.31/1.16 tff(843,plain,
% 1.31/1.16 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.31/1.16 inference(transitivity,[status(thm)],[842, 840])).
% 1.31/1.16 tff(844,plain,
% 1.31/1.16 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.31/1.16 inference(quant_inst,[status(thm)],[])).
% 1.31/1.16 tff(845,plain,
% 1.31/1.16 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.31/1.16 inference(modus_ponens,[status(thm)],[844, 843])).
% 1.31/1.16 tff(846,plain,
% 1.31/1.16 (ssPv4(elem!0) | ssPv3(skf1(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssPv2(skf1(skf1(elem!0))))),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[845, 391, 17, 15])).
% 1.31/1.16 tff(847,plain,
% 1.31/1.16 (~ssPv1(elem!0)),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[846, 204, 3, 839])).
% 1.31/1.16 tff(848,plain,
% 1.31/1.16 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)))),
% 1.31/1.16 inference(rewrite,[status(thm)],[])).
% 1.31/1.16 tff(849,plain,
% 1.31/1.16 ((ssPv3(skf1(skf1(elem!0))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)) | (~ssPv2(skf1(skf1(elem!0))))) <=> (ssPv3(skf1(skf1(elem!0))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)))),
% 1.31/1.16 inference(rewrite,[status(thm)],[])).
% 1.31/1.16 tff(850,plain,
% 1.31/1.16 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0))))),
% 1.31/1.16 inference(monotonicity,[status(thm)],[849])).
% 1.31/1.16 tff(851,plain,
% 1.31/1.16 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)))),
% 1.31/1.16 inference(transitivity,[status(thm)],[850, 848])).
% 1.31/1.16 tff(852,plain,
% 1.31/1.16 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.31/1.16 inference(quant_inst,[status(thm)],[])).
% 1.31/1.16 tff(853,plain,
% 1.31/1.16 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0))),
% 1.31/1.16 inference(modus_ponens,[status(thm)],[852, 851])).
% 1.31/1.16 tff(854,plain,
% 1.31/1.16 (ssPv3(skf1(skf1(elem!0))) | ssPv1(elem!0) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(elem!0))),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[853, 698, 17, 15])).
% 1.31/1.16 tff(855,plain,
% 1.31/1.16 (~ssPv2(elem!0)),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[854, 847, 3, 839])).
% 1.31/1.16 tff(856,plain,
% 1.31/1.16 (~ssPv3(elem!0)),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[191, 204, 3, 5])).
% 1.31/1.16 tff(857,plain,
% 1.31/1.16 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0))),
% 1.31/1.16 inference(rewrite,[status(thm)],[])).
% 1.31/1.16 tff(858,plain,
% 1.31/1.16 ((ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0)) <=> (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0))),
% 1.31/1.16 inference(rewrite,[status(thm)],[])).
% 1.31/1.16 tff(859,plain,
% 1.31/1.16 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0)))),
% 1.31/1.16 inference(monotonicity,[status(thm)],[858])).
% 1.31/1.16 tff(860,plain,
% 1.31/1.16 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0))),
% 1.31/1.16 inference(transitivity,[status(thm)],[859, 857])).
% 1.31/1.16 tff(861,plain,
% 1.31/1.16 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0))),
% 1.31/1.16 inference(quant_inst,[status(thm)],[])).
% 1.31/1.16 tff(862,plain,
% 1.31/1.16 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0)),
% 1.31/1.16 inference(modus_ponens,[status(thm)],[861, 860])).
% 1.31/1.16 tff(863,plain,
% 1.31/1.16 (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | ssPv2(elem!0)),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[862, 819, 17, 15])).
% 1.31/1.16 tff(864,plain,
% 1.31/1.16 (~ssPv4(skf1(skf1(elem!0)))),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[863, 855, 847, 3])).
% 1.31/1.16 tff(865,plain,
% 1.31/1.16 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(elem!0) | (~ssPv2(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(elem!0) | (~ssPv2(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)))),
% 1.31/1.16 inference(rewrite,[status(thm)],[])).
% 1.31/1.16 tff(866,plain,
% 1.31/1.16 ((ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0)))) <=> (ssPv4(elem!0) | (~ssPv2(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)))),
% 1.31/1.16 inference(rewrite,[status(thm)],[])).
% 1.31/1.16 tff(867,plain,
% 1.31/1.16 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(elem!0) | (~ssPv2(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0))))),
% 1.31/1.16 inference(monotonicity,[status(thm)],[866])).
% 1.31/1.16 tff(868,plain,
% 1.31/1.16 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(elem!0) | (~ssPv2(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)))),
% 1.31/1.16 inference(transitivity,[status(thm)],[867, 865])).
% 1.31/1.16 tff(869,plain,
% 1.31/1.16 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.31/1.16 inference(quant_inst,[status(thm)],[])).
% 1.31/1.16 tff(870,plain,
% 1.31/1.16 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(elem!0) | (~ssPv2(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0))),
% 1.31/1.16 inference(modus_ponens,[status(thm)],[869, 868])).
% 1.31/1.16 tff(871,plain,
% 1.31/1.16 (ssPv4(elem!0) | (~ssPv2(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(elem!0))),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[870, 639, 17, 15])).
% 1.31/1.16 tff(872,plain,
% 1.31/1.16 (~ssPv2(skf1(elem!0))),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[871, 864, 5, 204])).
% 1.31/1.16 tff(873,plain,
% 1.31/1.16 (~ssPv1(skf1(skf1(elem!0)))),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[369, 864, 5, 847])).
% 1.31/1.16 tff(874,plain,
% 1.31/1.16 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0))),
% 1.31/1.16 inference(rewrite,[status(thm)],[])).
% 1.31/1.16 tff(875,plain,
% 1.31/1.16 ((ssPv3(elem!0) | ssPv2(elem!0) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> (ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0))),
% 1.31/1.16 inference(rewrite,[status(thm)],[])).
% 1.31/1.16 tff(876,plain,
% 1.31/1.16 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(elem!0) | ssPv2(elem!0) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0)))),
% 1.31/1.16 inference(monotonicity,[status(thm)],[875])).
% 1.31/1.16 tff(877,plain,
% 1.31/1.16 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(elem!0) | ssPv2(elem!0) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0))),
% 1.31/1.16 inference(transitivity,[status(thm)],[876, 874])).
% 1.31/1.16 tff(878,plain,
% 1.31/1.16 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(elem!0) | ssPv2(elem!0) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.31/1.16 inference(quant_inst,[status(thm)],[])).
% 1.31/1.16 tff(879,plain,
% 1.31/1.16 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | ssPv3(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(elem!0)),
% 1.31/1.16 inference(modus_ponens,[status(thm)],[878, 877])).
% 1.31/1.16 tff(880,plain,
% 1.31/1.16 (ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | ssPv3(elem!0) | ssPv2(elem!0)),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[879, 67, 17, 15])).
% 1.31/1.16 tff(881,plain,
% 1.31/1.16 ($false),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[880, 873, 872, 856, 855])).
% 1.31/1.16 tff(882,plain,(ssPv4(elem!0) | ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.31/1.16 tff(883,plain,
% 1.31/1.16 (ssPv4(elem!0)),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[882, 807, 3])).
% 1.31/1.16 tff(884,plain,
% 1.31/1.16 ($false),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[92, 883, 807, 3, 838])).
% 1.31/1.16 tff(885,plain,(ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.31/1.16 tff(886,plain,
% 1.31/1.16 (ssPv1(skf1(elem!0))),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[885, 1, 3])).
% 1.31/1.16 tff(887,plain,
% 1.31/1.16 (~ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[398, 806, 886, 1])).
% 1.31/1.16 tff(888,plain,
% 1.31/1.16 ($false),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[135, 887, 886, 1, 807])).
% 1.31/1.16 tff(889,plain,(ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.31/1.16 tff(890,plain,
% 1.31/1.16 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.31/1.16 inference(unit_resolution,[status(thm)],[889, 3])).
% 1.31/1.16 tff(891,assumption,(ssPv2(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.31/1.16 tff(892,plain,
% 1.31/1.16 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl(((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))),
% 1.31/1.16 inference(bind,[status(th)],[])).
% 1.31/1.16 tff(893,plain,
% 1.31/1.16 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.16 inference(quant_intro,[status(thm)],[892])).
% 1.31/1.16 tff(894,plain,
% 1.31/1.16 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.16 inference(rewrite,[status(thm)],[])).
% 1.31/1.16 tff(895,plain,
% 1.31/1.16 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssPv3(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) <=> (((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(Y))))), rewrite((((~ssPv3(V)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(Y))) <=> ((~ssPv3(V)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) <=> ((~ssPv3(V)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) <=> (((~ssPv3(V)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv3(V)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssPv2(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssPv2(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | ssPv1(W)) <=> (((~ssPv3(V)) | (~ssPv2(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)))), rewrite((((~ssPv3(V)) | (~ssPv2(Y)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv1(W)) <=> ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | ssPv1(W)) <=> ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | ssPv1(W)) | ssPv3(W)) <=> (((~ssPv3(V)) | (~ssPv2(Y)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)))), rewrite((((~ssPv3(V)) | (~ssPv2(Y)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv3(W)) <=> ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | ssPv1(W)) | ssPv3(W)) <=> ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))))),
% 1.31/1.16 inference(bind,[status(th)],[])).
% 1.31/1.16 tff(896,plain,
% 1.31/1.16 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | ssPv1(W)) | ssPv3(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.16 inference(quant_intro,[status(thm)],[895])).
% 1.31/1.16 tff(897,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv2(Y))) | (~ssRr(W, X))) | ssPv1(W)) | ssPv3(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause24')).
% 1.31/1.16 tff(898,plain,
% 1.31/1.16 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.16 inference(modus_ponens,[status(thm)],[897, 896])).
% 1.31/1.16 tff(899,plain,
% 1.31/1.16 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.16 inference(modus_ponens,[status(thm)],[898, 894])).
% 1.31/1.16 tff(900,plain,(
% 1.31/1.16 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.16 inference(skolemize,[status(sab)],[899])).
% 1.31/1.16 tff(901,plain,
% 1.31/1.16 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))),
% 1.31/1.16 inference(modus_ponens,[status(thm)],[900, 893])).
% 1.31/1.16 tff(902,plain,
% 1.31/1.16 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | 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)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.17 inference(rewrite,[status(thm)],[])).
% 1.31/1.17 tff(903,plain,
% 1.31/1.17 (((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (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)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.17 inference(rewrite,[status(thm)],[])).
% 1.31/1.17 tff(904,plain,
% 1.31/1.17 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (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)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.17 inference(monotonicity,[status(thm)],[903])).
% 1.31/1.17 tff(905,plain,
% 1.31/1.17 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | 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)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.17 inference(transitivity,[status(thm)],[904, 902])).
% 1.31/1.17 tff(906,plain,
% 1.31/1.17 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.17 inference(quant_inst,[status(thm)],[])).
% 1.31/1.17 tff(907,plain,
% 1.31/1.17 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.17 inference(modus_ponens,[status(thm)],[906, 905])).
% 1.31/1.17 tff(908,plain,
% 1.31/1.17 (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.17 inference(unit_resolution,[status(thm)],[907, 901, 37, 442])).
% 1.31/1.17 tff(909,plain,
% 1.31/1.17 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.17 inference(unit_resolution,[status(thm)],[908, 891, 3, 203])).
% 1.31/1.17 tff(910,plain,
% 1.31/1.17 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.17 inference(rewrite,[status(thm)],[])).
% 1.31/1.17 tff(911,plain,
% 1.31/1.17 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.17 inference(rewrite,[status(thm)],[])).
% 1.31/1.17 tff(912,plain,
% 1.31/1.17 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.17 inference(monotonicity,[status(thm)],[911])).
% 1.31/1.17 tff(913,plain,
% 1.31/1.17 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.17 inference(transitivity,[status(thm)],[912, 910])).
% 1.31/1.17 tff(914,plain,
% 1.31/1.17 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.17 inference(quant_inst,[status(thm)],[])).
% 1.31/1.17 tff(915,plain,
% 1.31/1.17 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.17 inference(modus_ponens,[status(thm)],[914, 913])).
% 1.31/1.17 tff(916,plain,
% 1.31/1.17 (ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.17 inference(unit_resolution,[status(thm)],[915, 698, 37, 442])).
% 1.31/1.17 tff(917,plain,
% 1.31/1.17 ($false),
% 1.31/1.17 inference(unit_resolution,[status(thm)],[916, 909, 891, 808, 203])).
% 1.31/1.17 tff(918,plain,((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.31/1.17 tff(919,plain,
% 1.31/1.17 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.17 inference(unit_resolution,[status(thm)],[918, 203, 798, 3])).
% 1.31/1.17 tff(920,plain,
% 1.31/1.17 (ssPv4(elem!0)),
% 1.31/1.17 inference(unit_resolution,[status(thm)],[882, 5, 3])).
% 1.31/1.17 tff(921,plain,
% 1.31/1.17 (~ssPv2(skf1(elem!0))),
% 1.31/1.17 inference(unit_resolution,[status(thm)],[92, 5, 3, 920])).
% 1.31/1.17 tff(922,plain,
% 1.31/1.17 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.31/1.17 inference(unit_resolution,[status(thm)],[837, 921, 798, 6, 3])).
% 1.31/1.17 tff(923,plain,
% 1.31/1.17 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) <=> (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))))),
% 1.31/1.17 inference(bind,[status(th)],[])).
% 1.31/1.17 tff(924,plain,
% 1.31/1.17 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.31/1.17 inference(quant_intro,[status(thm)],[923])).
% 1.31/1.17 tff(925,plain,
% 1.31/1.17 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.31/1.17 inference(rewrite,[status(thm)],[])).
% 1.31/1.17 tff(926,plain,
% 1.31/1.17 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssPv3(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(Z))) <=> ((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) <=> ((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv2(W))) <=> (((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(W))))), rewrite((((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(W))) <=> ((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv2(W))) <=> ((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv2(W))) | ssPv2(Y)) <=> (((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) | ssPv2(Y)))), rewrite((((~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W))) | ssPv2(Y)) <=> (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv2(W))) | ssPv2(Y)) <=> (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))))),
% 1.31/1.17 inference(bind,[status(th)],[])).
% 1.31/1.17 tff(927,plain,
% 1.31/1.17 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv2(W))) | ssPv2(Y)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.31/1.17 inference(quant_intro,[status(thm)],[926])).
% 1.31/1.17 tff(928,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | (~ssPv3(Z))) | (~ssPv2(W))) | ssPv2(Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause45')).
% 1.31/1.17 tff(929,plain,
% 1.31/1.17 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.31/1.17 inference(modus_ponens,[status(thm)],[928, 927])).
% 1.31/1.17 tff(930,plain,
% 1.31/1.17 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.31/1.17 inference(modus_ponens,[status(thm)],[929, 925])).
% 1.31/1.17 tff(931,plain,(
% 1.31/1.17 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.31/1.17 inference(skolemize,[status(sab)],[930])).
% 1.31/1.17 tff(932,plain,
% 1.31/1.17 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))),
% 1.31/1.17 inference(modus_ponens,[status(thm)],[931, 924])).
% 1.31/1.17 tff(933,plain,
% 1.31/1.17 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(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) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(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)))))))),
% 1.31/1.17 inference(rewrite,[status(thm)],[])).
% 1.31/1.17 tff(934,plain,
% 1.31/1.17 ((ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(elem!0))))) <=> ((~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(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)))))))),
% 1.31/1.17 inference(rewrite,[status(thm)],[])).
% 1.31/1.17 tff(935,plain,
% 1.31/1.17 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(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))))))))),
% 1.31/1.17 inference(monotonicity,[status(thm)],[934])).
% 1.31/1.17 tff(936,plain,
% 1.31/1.17 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(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)))))))),
% 1.31/1.17 inference(transitivity,[status(thm)],[935, 933])).
% 1.31/1.17 tff(937,plain,
% 1.31/1.17 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.31/1.17 inference(quant_inst,[status(thm)],[])).
% 1.31/1.17 tff(938,plain,
% 1.31/1.17 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(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))))))),
% 1.31/1.17 inference(modus_ponens,[status(thm)],[937, 936])).
% 1.31/1.17 tff(939,plain,
% 1.31/1.17 ((~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.17 inference(unit_resolution,[status(thm)],[938, 932, 37, 442])).
% 1.31/1.17 tff(940,plain,
% 1.31/1.17 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.17 inference(unit_resolution,[status(thm)],[939, 922, 798, 919])).
% 1.31/1.17 tff(941,plain,
% 1.31/1.17 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.31/1.17 inference(rewrite,[status(thm)],[])).
% 1.31/1.17 tff(942,plain,
% 1.31/1.17 (((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.31/1.17 inference(rewrite,[status(thm)],[])).
% 1.31/1.17 tff(943,plain,
% 1.31/1.17 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.17 inference(monotonicity,[status(thm)],[942])).
% 1.31/1.17 tff(944,plain,
% 1.31/1.17 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.31/1.17 inference(transitivity,[status(thm)],[943, 941])).
% 1.31/1.17 tff(945,plain,
% 1.31/1.17 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.31/1.17 inference(quant_inst,[status(thm)],[])).
% 1.31/1.17 tff(946,plain,
% 1.31/1.17 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.31/1.17 inference(modus_ponens,[status(thm)],[945, 944])).
% 1.31/1.17 tff(947,plain,
% 1.31/1.17 (ssPv1(skf1(elem!0)) | ssPv3(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.17 inference(unit_resolution,[status(thm)],[946, 901, 15, 37])).
% 1.31/1.17 tff(948,plain,
% 1.31/1.17 (~ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.31/1.17 inference(unit_resolution,[status(thm)],[947, 922, 6, 5])).
% 1.31/1.17 tff(949,plain,
% 1.31/1.17 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.17 inference(rewrite,[status(thm)],[])).
% 1.31/1.17 tff(950,plain,
% 1.31/1.17 ((ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.17 inference(rewrite,[status(thm)],[])).
% 1.31/1.17 tff(951,plain,
% 1.31/1.17 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.17 inference(monotonicity,[status(thm)],[950])).
% 1.31/1.17 tff(952,plain,
% 1.31/1.17 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.17 inference(transitivity,[status(thm)],[951, 949])).
% 1.31/1.17 tff(953,plain,
% 1.31/1.17 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.31/1.17 inference(quant_inst,[status(thm)],[])).
% 1.31/1.17 tff(954,plain,
% 1.31/1.17 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.31/1.18 inference(modus_ponens,[status(thm)],[953, 952])).
% 1.31/1.18 tff(955,plain,
% 1.31/1.18 (ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.18 inference(unit_resolution,[status(thm)],[954, 413, 37, 442])).
% 1.31/1.18 tff(956,plain,
% 1.31/1.18 (ssPv4(skf1(skf1(elem!0)))),
% 1.31/1.18 inference(unit_resolution,[status(thm)],[955, 948, 919, 922])).
% 1.31/1.18 tff(957,plain,
% 1.31/1.18 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.31/1.18 inference(unit_resolution,[status(thm)],[775, 956, 203, 922])).
% 1.31/1.18 tff(958,plain,
% 1.31/1.18 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.18 inference(rewrite,[status(thm)],[])).
% 1.31/1.18 tff(959,plain,
% 1.31/1.18 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0)))) <=> (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.31/1.18 inference(rewrite,[status(thm)],[])).
% 1.31/1.18 tff(960,plain,
% 1.31/1.18 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.31/1.18 inference(monotonicity,[status(thm)],[959])).
% 1.31/1.18 tff(961,plain,
% 1.31/1.18 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.18 inference(transitivity,[status(thm)],[960, 958])).
% 1.42/1.18 tff(962,plain,
% 1.42/1.18 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))))),
% 1.42/1.18 inference(quant_inst,[status(thm)],[])).
% 1.42/1.18 tff(963,plain,
% 1.42/1.18 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.18 inference(modus_ponens,[status(thm)],[962, 961])).
% 1.42/1.18 tff(964,plain,
% 1.42/1.18 (ssPv1(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.42/1.18 inference(unit_resolution,[status(thm)],[963, 291, 37, 442])).
% 1.42/1.18 tff(965,plain,
% 1.42/1.18 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.42/1.18 inference(unit_resolution,[status(thm)],[964, 957, 203, 940])).
% 1.42/1.18 tff(966,plain,
% 1.42/1.18 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.42/1.18 inference(rewrite,[status(thm)],[])).
% 1.42/1.18 tff(967,plain,
% 1.42/1.18 (((~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.42/1.18 inference(rewrite,[status(thm)],[])).
% 1.42/1.18 tff(968,plain,
% 1.42/1.18 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.42/1.18 inference(monotonicity,[status(thm)],[967])).
% 1.42/1.18 tff(969,plain,
% 1.42/1.18 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.42/1.18 inference(transitivity,[status(thm)],[968, 966])).
% 1.42/1.18 tff(970,plain,
% 1.42/1.18 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.18 inference(quant_inst,[status(thm)],[])).
% 1.42/1.18 tff(971,plain,
% 1.42/1.18 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.18 inference(modus_ponens,[status(thm)],[970, 969])).
% 1.42/1.18 tff(972,plain,
% 1.42/1.18 ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.18 inference(unit_resolution,[status(thm)],[971, 184, 442, 611])).
% 1.42/1.18 tff(973,plain,
% 1.42/1.18 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.18 inference(unit_resolution,[status(thm)],[972, 965, 922, 940])).
% 1.42/1.18 tff(974,plain,
% 1.42/1.18 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv3(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))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.18 inference(rewrite,[status(thm)],[])).
% 1.42/1.18 tff(975,plain,
% 1.42/1.18 ((ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0))) <=> (ssPv3(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))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.18 inference(rewrite,[status(thm)],[])).
% 1.42/1.18 tff(976,plain,
% 1.42/1.18 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(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))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.18 inference(monotonicity,[status(thm)],[975])).
% 1.42/1.18 tff(977,plain,
% 1.42/1.18 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv3(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))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.18 inference(transitivity,[status(thm)],[976, 974])).
% 1.42/1.18 tff(978,plain,
% 1.42/1.18 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)))),
% 1.42/1.18 inference(quant_inst,[status(thm)],[])).
% 1.42/1.18 tff(979,plain,
% 1.42/1.18 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.42/1.18 inference(modus_ponens,[status(thm)],[978, 977])).
% 1.42/1.18 tff(980,plain,
% 1.42/1.18 (ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.42/1.18 inference(unit_resolution,[status(thm)],[979, 362, 15, 37])).
% 1.42/1.18 tff(981,plain,
% 1.42/1.18 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.42/1.18 inference(unit_resolution,[status(thm)],[980, 965, 3, 6])).
% 1.42/1.18 tff(982,plain,
% 1.42/1.18 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.42/1.18 inference(rewrite,[status(thm)],[])).
% 1.42/1.18 tff(983,plain,
% 1.42/1.18 ((ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.42/1.18 inference(rewrite,[status(thm)],[])).
% 1.42/1.18 tff(984,plain,
% 1.42/1.18 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.42/1.18 inference(monotonicity,[status(thm)],[983])).
% 1.42/1.18 tff(985,plain,
% 1.42/1.18 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.42/1.18 inference(transitivity,[status(thm)],[984, 982])).
% 1.42/1.18 tff(986,plain,
% 1.42/1.18 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.18 inference(quant_inst,[status(thm)],[])).
% 1.42/1.18 tff(987,plain,
% 1.42/1.18 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.18 inference(modus_ponens,[status(thm)],[986, 985])).
% 1.42/1.18 tff(988,plain,
% 1.42/1.18 (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.18 inference(unit_resolution,[status(thm)],[987, 47, 442, 611])).
% 1.42/1.18 tff(989,plain,
% 1.42/1.18 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.18 inference(unit_resolution,[status(thm)],[988, 981, 919, 940])).
% 1.42/1.18 tff(990,plain,
% 1.42/1.18 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.42/1.18 inference(rewrite,[status(thm)],[])).
% 1.42/1.18 tff(991,plain,
% 1.42/1.18 ((ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0))))) <=> (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.42/1.18 inference(rewrite,[status(thm)],[])).
% 1.42/1.18 tff(992,plain,
% 1.42/1.18 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.42/1.18 inference(monotonicity,[status(thm)],[991])).
% 1.42/1.18 tff(993,plain,
% 1.42/1.18 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.42/1.18 inference(transitivity,[status(thm)],[992, 990])).
% 1.42/1.18 tff(994,plain,
% 1.42/1.18 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.42/1.18 inference(quant_inst,[status(thm)],[])).
% 1.42/1.18 tff(995,plain,
% 1.42/1.18 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.19 inference(modus_ponens,[status(thm)],[994, 993])).
% 1.42/1.19 tff(996,plain,
% 1.42/1.19 (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.19 inference(unit_resolution,[status(thm)],[995, 254, 442, 611])).
% 1.42/1.19 tff(997,plain,
% 1.42/1.19 (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.19 inference(unit_resolution,[status(thm)],[996, 989, 981, 973])).
% 1.42/1.19 tff(998,plain,
% 1.42/1.19 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)) <=> (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)))),
% 1.42/1.19 inference(bind,[status(th)],[])).
% 1.42/1.19 tff(999,plain,
% 1.42/1.19 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.42/1.19 inference(quant_intro,[status(thm)],[998])).
% 1.42/1.19 tff(1000,plain,
% 1.42/1.19 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.42/1.19 inference(rewrite,[status(thm)],[])).
% 1.42/1.19 tff(1001,plain,
% 1.42/1.19 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssPv3(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) <=> (((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Y)))), rewrite((((~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) <=> (ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv2(Z)) <=> ((ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Z)))), rewrite(((ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(Z)) <=> (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv2(Z)) <=> (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv2(Z)) | ssPv2(W)) <=> ((ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)))), rewrite(((ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)) <=> (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))), ((((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv2(Z)) | ssPv2(W)) <=> (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))))),
% 1.42/1.19 inference(bind,[status(th)],[])).
% 1.42/1.19 tff(1002,plain,
% 1.42/1.19 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv2(Z)) | ssPv2(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.42/1.19 inference(quant_intro,[status(thm)],[1001])).
% 1.42/1.19 tff(1003,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Y)) | ssPv2(Z)) | ssPv2(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause32')).
% 1.42/1.19 tff(1004,plain,
% 1.42/1.19 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.42/1.19 inference(modus_ponens,[status(thm)],[1003, 1002])).
% 1.42/1.19 tff(1005,plain,
% 1.42/1.19 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.42/1.19 inference(modus_ponens,[status(thm)],[1004, 1000])).
% 1.42/1.19 tff(1006,plain,(
% 1.42/1.19 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.42/1.19 inference(skolemize,[status(sab)],[1005])).
% 1.42/1.19 tff(1007,plain,
% 1.42/1.19 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.42/1.19 inference(modus_ponens,[status(thm)],[1006, 999])).
% 1.42/1.19 tff(1008,plain,
% 1.42/1.19 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))))),
% 1.42/1.19 inference(rewrite,[status(thm)],[])).
% 1.42/1.19 tff(1009,plain,
% 1.42/1.19 ((ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0))))) <=> (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))))),
% 1.42/1.19 inference(rewrite,[status(thm)],[])).
% 1.42/1.19 tff(1010,plain,
% 1.42/1.19 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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)))))))))),
% 1.42/1.19 inference(monotonicity,[status(thm)],[1009])).
% 1.42/1.19 tff(1011,plain,
% 1.42/1.19 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))))),
% 1.42/1.19 inference(transitivity,[status(thm)],[1010, 1008])).
% 1.42/1.19 tff(1012,plain,
% 1.42/1.19 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.42/1.19 inference(quant_inst,[status(thm)],[])).
% 1.42/1.19 tff(1013,plain,
% 1.42/1.19 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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)))))))),
% 1.42/1.19 inference(modus_ponens,[status(thm)],[1012, 1011])).
% 1.42/1.19 tff(1014,plain,
% 1.42/1.19 (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.19 inference(unit_resolution,[status(thm)],[1013, 1007, 442, 611])).
% 1.42/1.19 tff(1015,plain,
% 1.42/1.19 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.19 inference(unit_resolution,[status(thm)],[1014, 973, 919, 948])).
% 1.42/1.19 tff(1016,plain,
% 1.42/1.19 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.19 inference(quant_inst,[status(thm)],[])).
% 1.42/1.19 tff(1017,plain,
% 1.42/1.19 (ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.19 inference(unit_resolution,[status(thm)],[1016, 13])).
% 1.42/1.19 tff(1018,plain,
% 1.42/1.19 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.42/1.19 inference(rewrite,[status(thm)],[])).
% 1.42/1.19 tff(1019,plain,
% 1.42/1.19 (((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.42/1.19 inference(rewrite,[status(thm)],[])).
% 1.42/1.19 tff(1020,plain,
% 1.42/1.19 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.42/1.19 inference(monotonicity,[status(thm)],[1019])).
% 1.42/1.19 tff(1021,plain,
% 1.42/1.19 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.42/1.19 inference(transitivity,[status(thm)],[1020, 1018])).
% 1.42/1.19 tff(1022,plain,
% 1.42/1.19 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.42/1.19 inference(quant_inst,[status(thm)],[])).
% 1.42/1.19 tff(1023,plain,
% 1.42/1.19 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.42/1.19 inference(modus_ponens,[status(thm)],[1022, 1021])).
% 1.42/1.19 tff(1024,plain,
% 1.42/1.19 (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.42/1.19 inference(unit_resolution,[status(thm)],[1023, 786, 611, 1017])).
% 1.42/1.19 tff(1025,plain,
% 1.42/1.19 (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.19 inference(unit_resolution,[status(thm)],[1024, 1015, 919, 973])).
% 1.42/1.19 tff(1026,plain,
% 1.42/1.19 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(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)))))) | 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)))))))))),
% 1.42/1.19 inference(rewrite,[status(thm)],[])).
% 1.42/1.19 tff(1027,plain,
% 1.42/1.19 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> (ssPv3(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)))))) | 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)))))))))),
% 1.42/1.19 inference(rewrite,[status(thm)],[])).
% 1.42/1.19 tff(1028,plain,
% 1.42/1.19 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(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)))))) | 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))))))))))),
% 1.42/1.19 inference(monotonicity,[status(thm)],[1027])).
% 1.42/1.19 tff(1029,plain,
% 1.42/1.19 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(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)))))) | 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)))))))))),
% 1.42/1.19 inference(transitivity,[status(thm)],[1028, 1026])).
% 1.42/1.19 tff(1030,plain,
% 1.42/1.19 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.42/1.19 inference(quant_inst,[status(thm)],[])).
% 1.42/1.19 tff(1031,plain,
% 1.42/1.19 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.42/1.19 inference(modus_ponens,[status(thm)],[1030, 1029])).
% 1.42/1.19 tff(1032,plain,
% 1.42/1.19 (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.19 inference(unit_resolution,[status(thm)],[1031, 67, 611, 1017])).
% 1.42/1.19 tff(1033,plain,
% 1.42/1.19 ($false),
% 1.42/1.19 inference(unit_resolution,[status(thm)],[1032, 1025, 997, 919, 940])).
% 1.42/1.19 tff(1034,plain,(ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.42/1.19 tff(1035,plain,
% 1.42/1.19 (ssPv3(skf1(elem!0))),
% 1.42/1.19 inference(unit_resolution,[status(thm)],[1034, 6, 3, 203])).
% 1.42/1.19 tff(1036,plain,
% 1.42/1.19 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.19 inference(rewrite,[status(thm)],[])).
% 1.42/1.19 tff(1037,plain,
% 1.42/1.19 (((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))) <=> (ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.19 inference(rewrite,[status(thm)],[])).
% 1.42/1.19 tff(1038,plain,
% 1.42/1.19 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.19 inference(monotonicity,[status(thm)],[1037])).
% 1.42/1.19 tff(1039,plain,
% 1.42/1.19 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.19 inference(transitivity,[status(thm)],[1038, 1036])).
% 1.42/1.19 tff(1040,plain,
% 1.42/1.19 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.19 inference(quant_inst,[status(thm)],[])).
% 1.42/1.19 tff(1041,plain,
% 1.42/1.19 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.42/1.19 inference(modus_ponens,[status(thm)],[1040, 1039])).
% 1.42/1.19 tff(1042,plain,
% 1.42/1.19 (ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.42/1.19 inference(unit_resolution,[status(thm)],[1041, 621, 15, 37])).
% 1.42/1.19 tff(1043,plain,
% 1.42/1.19 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.42/1.19 inference(unit_resolution,[status(thm)],[1042, 1035, 798, 6])).
% 1.42/1.19 tff(1044,plain,
% 1.42/1.19 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.42/1.19 inference(unit_resolution,[status(thm)],[980, 1043, 3, 6])).
% 1.42/1.19 tff(1045,plain,
% 1.42/1.19 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.42/1.19 inference(unit_resolution,[status(thm)],[243, 1044, 203, 1035])).
% 1.42/1.19 tff(1046,plain,
% 1.42/1.19 (~ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.42/1.19 inference(unit_resolution,[status(thm)],[261, 1045, 6, 1044])).
% 1.42/1.19 tff(1047,plain,
% 1.42/1.19 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W))) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W))))),
% 1.42/1.19 inference(bind,[status(th)],[])).
% 1.42/1.19 tff(1048,plain,
% 1.42/1.19 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))),
% 1.42/1.19 inference(quant_intro,[status(thm)],[1047])).
% 1.42/1.19 tff(1049,plain,
% 1.42/1.19 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))),
% 1.42/1.19 inference(rewrite,[status(thm)],[])).
% 1.42/1.19 tff(1050,plain,
% 1.42/1.19 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv2(V)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W))) | ssPv2(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(W)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(W))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv1(X)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(W))) | ssPv1(X)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(V) | (~ssPv3(W))) | ssPv1(X)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv1(X)) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv1(X)) | ssPv2(W)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W))) | ssPv2(W)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W))) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv1(X)) | ssPv2(W)) <=> (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))))),
% 1.42/1.19 inference(bind,[status(th)],[])).
% 1.42/1.19 tff(1051,plain,
% 1.42/1.19 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv1(X)) | ssPv2(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))),
% 1.42/1.19 inference(quant_intro,[status(thm)],[1050])).
% 1.42/1.19 tff(1052,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(W))) | ssPv2(V)) | ssPv1(X)) | ssPv2(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause4')).
% 1.42/1.19 tff(1053,plain,
% 1.42/1.19 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))),
% 1.42/1.19 inference(modus_ponens,[status(thm)],[1052, 1051])).
% 1.42/1.19 tff(1054,plain,
% 1.42/1.19 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))),
% 1.42/1.19 inference(modus_ponens,[status(thm)],[1053, 1049])).
% 1.42/1.19 tff(1055,plain,(
% 1.42/1.19 ![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))),
% 1.42/1.19 inference(skolemize,[status(sab)],[1054])).
% 1.42/1.19 tff(1056,plain,
% 1.42/1.19 (![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))),
% 1.42/1.19 inference(modus_ponens,[status(thm)],[1055, 1048])).
% 1.42/1.19 tff(1057,plain,
% 1.42/1.19 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.42/1.20 inference(rewrite,[status(thm)],[])).
% 1.42/1.20 tff(1058,plain,
% 1.42/1.20 ((ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0)))) <=> (ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.42/1.20 inference(rewrite,[status(thm)],[])).
% 1.42/1.20 tff(1059,plain,
% 1.42/1.20 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(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))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.20 inference(monotonicity,[status(thm)],[1058])).
% 1.42/1.20 tff(1060,plain,
% 1.42/1.20 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(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))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.42/1.20 inference(transitivity,[status(thm)],[1059, 1057])).
% 1.42/1.20 tff(1061,plain,
% 1.42/1.20 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(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))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))),
% 1.42/1.20 inference(quant_inst,[status(thm)],[])).
% 1.42/1.20 tff(1062,plain,
% 1.42/1.20 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.42/1.20 inference(modus_ponens,[status(thm)],[1061, 1060])).
% 1.42/1.20 tff(1063,plain,
% 1.42/1.20 (ssPv2(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[1062, 1056, 15, 37])).
% 1.42/1.20 tff(1064,plain,
% 1.42/1.20 (ssPv2(skf1(elem!0))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[1063, 1046, 1035, 203])).
% 1.42/1.20 tff(1065,plain,
% 1.42/1.20 ($false),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[671, 1064, 1046, 1043, 1035])).
% 1.42/1.20 tff(1066,plain,(ssPv1(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.42/1.20 tff(1067,plain,
% 1.42/1.20 (ssPv1(skf1(elem!0))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[1066, 203, 3])).
% 1.42/1.20 tff(1068,plain,
% 1.42/1.20 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.42/1.20 inference(rewrite,[status(thm)],[])).
% 1.42/1.20 tff(1069,plain,
% 1.42/1.20 ((ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.42/1.20 inference(rewrite,[status(thm)],[])).
% 1.42/1.20 tff(1070,plain,
% 1.42/1.20 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.20 inference(monotonicity,[status(thm)],[1069])).
% 1.42/1.20 tff(1071,plain,
% 1.42/1.20 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.42/1.20 inference(transitivity,[status(thm)],[1070, 1068])).
% 1.42/1.20 tff(1072,plain,
% 1.42/1.20 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.42/1.20 inference(quant_inst,[status(thm)],[])).
% 1.42/1.20 tff(1073,plain,
% 1.42/1.20 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.42/1.20 inference(modus_ponens,[status(thm)],[1072, 1071])).
% 1.42/1.20 tff(1074,plain,
% 1.42/1.20 (ssPv1(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[1073, 27, 15, 37])).
% 1.42/1.20 tff(1075,plain,
% 1.42/1.20 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[1074, 1, 203, 806])).
% 1.42/1.20 tff(1076,plain,
% 1.42/1.20 ($false),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[398, 1075, 806, 1067, 1])).
% 1.42/1.20 tff(1077,plain,(ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.42/1.20 tff(1078,plain,
% 1.42/1.20 (ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[1077, 203, 3])).
% 1.42/1.20 tff(1079,plain,
% 1.42/1.20 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[939, 1078, 798, 919])).
% 1.42/1.20 tff(1080,plain,
% 1.42/1.20 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[117, 1078, 3, 1067])).
% 1.42/1.20 tff(1081,plain,
% 1.42/1.20 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[988, 1079, 919, 1080])).
% 1.42/1.20 tff(1082,plain,
% 1.42/1.20 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | 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) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | 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)))))))),
% 1.42/1.20 inference(rewrite,[status(thm)],[])).
% 1.42/1.20 tff(1083,plain,
% 1.42/1.20 ((ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | 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)))))))),
% 1.42/1.20 inference(rewrite,[status(thm)],[])).
% 1.42/1.20 tff(1084,plain,
% 1.42/1.20 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | 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))))))))),
% 1.42/1.20 inference(monotonicity,[status(thm)],[1083])).
% 1.42/1.20 tff(1085,plain,
% 1.42/1.20 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | 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)))))))),
% 1.42/1.20 inference(transitivity,[status(thm)],[1084, 1082])).
% 1.42/1.20 tff(1086,plain,
% 1.42/1.20 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.20 inference(quant_inst,[status(thm)],[])).
% 1.42/1.20 tff(1087,plain,
% 1.42/1.20 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | 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))))))),
% 1.42/1.20 inference(modus_ponens,[status(thm)],[1086, 1085])).
% 1.42/1.20 tff(1088,plain,
% 1.42/1.20 (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[1087, 27, 37, 442])).
% 1.42/1.20 tff(1089,plain,
% 1.42/1.20 (ssPv4(skf1(skf1(elem!0)))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[1088, 1080, 919, 1079])).
% 1.42/1.20 tff(1090,plain,
% 1.42/1.20 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[775, 1089, 203, 1078])).
% 1.42/1.20 tff(1091,plain,
% 1.42/1.20 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[964, 1090, 203, 1079])).
% 1.42/1.20 tff(1092,plain,
% 1.42/1.20 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[972, 1091, 1078, 1079])).
% 1.42/1.20 tff(1093,plain,
% 1.42/1.20 (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[996, 1092, 1080, 1081])).
% 1.42/1.20 tff(1094,plain,
% 1.42/1.20 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(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, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(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))))))))),
% 1.42/1.20 inference(rewrite,[status(thm)],[])).
% 1.42/1.20 tff(1095,plain,
% 1.42/1.20 ((ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(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))))))))),
% 1.42/1.20 inference(rewrite,[status(thm)],[])).
% 1.42/1.20 tff(1096,plain,
% 1.42/1.20 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(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)))))))))),
% 1.42/1.20 inference(monotonicity,[status(thm)],[1095])).
% 1.42/1.20 tff(1097,plain,
% 1.42/1.20 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(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))))))))),
% 1.42/1.20 inference(transitivity,[status(thm)],[1096, 1094])).
% 1.42/1.20 tff(1098,plain,
% 1.42/1.20 ((~![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))))))),
% 1.42/1.20 inference(quant_inst,[status(thm)],[])).
% 1.42/1.20 tff(1099,plain,
% 1.42/1.20 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.20 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 1.42/1.20 tff(1100,plain,
% 1.42/1.20 ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[1099, 490, 442, 611])).
% 1.42/1.20 tff(1101,plain,
% 1.42/1.20 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[1100, 1091, 1078, 1081])).
% 1.42/1.20 tff(1102,plain,
% 1.42/1.20 (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[1024, 1101, 919, 1092])).
% 1.42/1.20 tff(1103,plain,
% 1.42/1.20 ($false),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[1032, 1102, 1093, 919, 1079])).
% 1.42/1.20 tff(1104,plain,(ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.42/1.20 tff(1105,plain,
% 1.42/1.20 (ssPv1(skf1(skf1(elem!0)))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[1104, 3])).
% 1.42/1.20 tff(1106,plain,
% 1.42/1.20 (~ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[947, 5, 6, 890])).
% 1.42/1.20 tff(1107,plain,
% 1.42/1.20 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[449, 440, 3, 1105])).
% 1.42/1.20 tff(1108,plain,
% 1.42/1.20 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[628, 1107, 57, 890])).
% 1.42/1.20 tff(1109,plain,
% 1.42/1.20 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))))),
% 1.42/1.20 inference(rewrite,[status(thm)],[])).
% 1.42/1.20 tff(1110,plain,
% 1.42/1.20 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0))))) <=> (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))))),
% 1.42/1.20 inference(rewrite,[status(thm)],[])).
% 1.42/1.20 tff(1111,plain,
% 1.42/1.20 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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)))))))))),
% 1.42/1.20 inference(monotonicity,[status(thm)],[1110])).
% 1.42/1.20 tff(1112,plain,
% 1.42/1.20 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))))),
% 1.42/1.20 inference(transitivity,[status(thm)],[1111, 1109])).
% 1.42/1.20 tff(1113,plain,
% 1.42/1.20 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.42/1.20 inference(quant_inst,[status(thm)],[])).
% 1.42/1.20 tff(1114,plain,
% 1.42/1.20 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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)))))))),
% 1.42/1.20 inference(modus_ponens,[status(thm)],[1113, 1112])).
% 1.42/1.20 tff(1115,plain,
% 1.42/1.20 (ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[1114, 362, 442, 611])).
% 1.42/1.20 tff(1116,plain,
% 1.42/1.20 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[1115, 1108, 57, 440])).
% 1.42/1.20 tff(1117,plain,
% 1.42/1.20 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.42/1.20 inference(unit_resolution,[status(thm)],[646, 1108, 1107, 440])).
% 1.42/1.20 tff(1118,plain,
% 1.42/1.20 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.42/1.20 inference(rewrite,[status(thm)],[])).
% 1.42/1.20 tff(1119,plain,
% 1.42/1.20 ((ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.42/1.20 inference(rewrite,[status(thm)],[])).
% 1.42/1.20 tff(1120,plain,
% 1.42/1.20 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.42/1.20 inference(monotonicity,[status(thm)],[1119])).
% 1.42/1.20 tff(1121,plain,
% 1.42/1.20 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.42/1.21 inference(transitivity,[status(thm)],[1120, 1118])).
% 1.42/1.21 tff(1122,plain,
% 1.42/1.21 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.21 inference(quant_inst,[status(thm)],[])).
% 1.42/1.21 tff(1123,plain,
% 1.42/1.21 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.21 inference(modus_ponens,[status(thm)],[1122, 1121])).
% 1.42/1.21 tff(1124,plain,
% 1.42/1.21 ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.21 inference(unit_resolution,[status(thm)],[1123, 85, 442, 611])).
% 1.42/1.21 tff(1125,plain,
% 1.42/1.21 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.21 inference(unit_resolution,[status(thm)],[1124, 1117, 1107, 440])).
% 1.42/1.21 tff(1126,plain,
% 1.42/1.21 (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.21 inference(unit_resolution,[status(thm)],[996, 1125, 57, 1116])).
% 1.42/1.21 tff(1127,plain,
% 1.42/1.21 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.21 inference(rewrite,[status(thm)],[])).
% 1.42/1.21 tff(1128,plain,
% 1.42/1.21 ((ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.21 inference(rewrite,[status(thm)],[])).
% 1.42/1.21 tff(1129,plain,
% 1.42/1.21 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.42/1.21 inference(monotonicity,[status(thm)],[1128])).
% 1.42/1.21 tff(1130,plain,
% 1.42/1.21 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.21 inference(transitivity,[status(thm)],[1129, 1127])).
% 1.42/1.21 tff(1131,plain,
% 1.42/1.21 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.21 inference(quant_inst,[status(thm)],[])).
% 1.42/1.21 tff(1132,plain,
% 1.42/1.21 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.21 inference(modus_ponens,[status(thm)],[1131, 1130])).
% 1.42/1.21 tff(1133,plain,
% 1.42/1.21 ((~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.42/1.21 inference(unit_resolution,[status(thm)],[1132, 1056, 442, 611])).
% 1.42/1.21 tff(1134,plain,
% 1.42/1.21 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.42/1.21 inference(unit_resolution,[status(thm)],[1133, 1126, 890, 2])).
% 1.42/1.21 tff(1135,assumption,(ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))), introduced(assumption)).
% 1.42/1.21 tff(1136,assumption,(~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))), introduced(assumption)).
% 1.42/1.21 tff(1137,assumption,(ssPv1(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.42/1.21 tff(1138,assumption,(~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))), introduced(assumption)).
% 1.42/1.21 tff(1139,plain,
% 1.42/1.21 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~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))))))) | 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, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~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))))))) | 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)))))))))),
% 1.42/1.21 inference(rewrite,[status(thm)],[])).
% 1.42/1.21 tff(1140,plain,
% 1.42/1.21 ((ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(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))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.42/1.21 inference(rewrite,[status(thm)],[])).
% 1.42/1.21 tff(1141,plain,
% 1.42/1.21 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(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))))))) | (~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)))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~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))))))) | 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))))))))))),
% 1.42/1.21 inference(monotonicity,[status(thm)],[1140])).
% 1.42/1.21 tff(1142,plain,
% 1.42/1.21 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(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))))))) | (~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)))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~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))))))) | 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)))))))))),
% 1.42/1.21 inference(transitivity,[status(thm)],[1141, 1139])).
% 1.42/1.21 tff(1143,plain,
% 1.42/1.21 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(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))))))) | (~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)))))))))),
% 1.42/1.21 inference(quant_inst,[status(thm)],[])).
% 1.42/1.21 tff(1144,plain,
% 1.42/1.21 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~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))))))) | 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))))))))),
% 1.42/1.21 inference(modus_ponens,[status(thm)],[1143, 1142])).
% 1.42/1.21 tff(1145,plain,
% 1.42/1.21 (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.21 inference(unit_resolution,[status(thm)],[1144, 128, 611, 1017])).
% 1.42/1.21 tff(1146,plain,
% 1.42/1.21 (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.42/1.21 inference(unit_resolution,[status(thm)],[1145, 1138, 440, 1137])).
% 1.42/1.21 tff(1147,assumption,(~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))), introduced(assumption)).
% 1.42/1.21 tff(1148,plain,
% 1.42/1.21 ((~![U: $i] : ssRr(U, skf1(U))) | ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.42/1.21 inference(quant_inst,[status(thm)],[])).
% 1.42/1.21 tff(1149,plain,
% 1.42/1.21 (ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.42/1.21 inference(unit_resolution,[status(thm)],[1148, 13])).
% 1.42/1.21 tff(1150,plain,
% 1.42/1.21 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.42/1.21 inference(rewrite,[status(thm)],[])).
% 1.42/1.21 tff(1151,plain,
% 1.42/1.21 ((ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.21 inference(rewrite,[status(thm)],[])).
% 1.45/1.21 tff(1152,plain,
% 1.45/1.21 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.21 inference(monotonicity,[status(thm)],[1151])).
% 1.45/1.21 tff(1153,plain,
% 1.45/1.21 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.21 inference(transitivity,[status(thm)],[1152, 1150])).
% 1.45/1.21 tff(1154,plain,
% 1.45/1.21 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.21 inference(quant_inst,[status(thm)],[])).
% 1.45/1.21 tff(1155,plain,
% 1.45/1.21 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.21 inference(modus_ponens,[status(thm)],[1154, 1153])).
% 1.45/1.21 tff(1156,plain,
% 1.45/1.21 (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))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.21 inference(unit_resolution,[status(thm)],[1155, 639, 1017, 1149])).
% 1.45/1.21 tff(1157,plain,
% 1.45/1.21 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.21 inference(unit_resolution,[status(thm)],[1156, 1146, 1147, 1138])).
% 1.45/1.21 tff(1158,plain,
% 1.45/1.21 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~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, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~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))))))))))),
% 1.45/1.21 inference(rewrite,[status(thm)],[])).
% 1.45/1.21 tff(1159,plain,
% 1.45/1.21 (((~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~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))))))))))),
% 1.45/1.21 inference(rewrite,[status(thm)],[])).
% 1.45/1.21 tff(1160,plain,
% 1.45/1.21 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~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)))))))))))),
% 1.45/1.21 inference(monotonicity,[status(thm)],[1159])).
% 1.45/1.21 tff(1161,plain,
% 1.45/1.21 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~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))))))))))),
% 1.45/1.21 inference(transitivity,[status(thm)],[1160, 1158])).
% 1.45/1.21 tff(1162,plain,
% 1.45/1.21 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.21 inference(quant_inst,[status(thm)],[])).
% 1.45/1.21 tff(1163,plain,
% 1.45/1.21 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.21 inference(modus_ponens,[status(thm)],[1162, 1161])).
% 1.45/1.21 tff(1164,plain,
% 1.45/1.21 (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.21 inference(unit_resolution,[status(thm)],[1163, 621, 1017, 1149])).
% 1.45/1.21 tff(1165,plain,
% 1.45/1.21 ($false),
% 1.45/1.21 inference(unit_resolution,[status(thm)],[1164, 1157, 1146, 1136, 1135])).
% 1.45/1.21 tff(1166,plain,(ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))), inference(lemma,lemma(discharge,[]))).
% 1.45/1.21 tff(1167,plain,
% 1.45/1.21 (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.21 inference(unit_resolution,[status(thm)],[1166, 1116, 1125, 1108, 440, 1134])).
% 1.45/1.21 tff(1168,plain,
% 1.45/1.21 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~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)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.21 inference(rewrite,[status(thm)],[])).
% 1.45/1.21 tff(1169,plain,
% 1.45/1.21 ((ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.21 inference(rewrite,[status(thm)],[])).
% 1.45/1.21 tff(1170,plain,
% 1.45/1.21 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.21 inference(monotonicity,[status(thm)],[1169])).
% 1.45/1.21 tff(1171,plain,
% 1.45/1.21 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.22 inference(transitivity,[status(thm)],[1170, 1168])).
% 1.45/1.22 tff(1172,plain,
% 1.45/1.22 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.22 inference(quant_inst,[status(thm)],[])).
% 1.45/1.22 tff(1173,plain,
% 1.45/1.22 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.22 inference(modus_ponens,[status(thm)],[1172, 1171])).
% 1.45/1.22 tff(1174,plain,
% 1.45/1.22 ((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.22 inference(unit_resolution,[status(thm)],[1173, 932, 611, 1017])).
% 1.45/1.22 tff(1175,plain,
% 1.45/1.22 (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.22 inference(unit_resolution,[status(thm)],[1174, 1167, 1107, 1125])).
% 1.45/1.22 tff(1176,plain,
% 1.45/1.22 (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.22 inference(unit_resolution,[status(thm)],[1164, 1175, 1116, 1125])).
% 1.45/1.22 tff(1177,plain,
% 1.45/1.22 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.22 inference(rewrite,[status(thm)],[])).
% 1.45/1.22 tff(1178,plain,
% 1.45/1.22 ((ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.22 inference(rewrite,[status(thm)],[])).
% 1.45/1.22 tff(1179,plain,
% 1.45/1.22 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.22 inference(monotonicity,[status(thm)],[1178])).
% 1.45/1.22 tff(1180,plain,
% 1.45/1.22 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.22 inference(transitivity,[status(thm)],[1179, 1177])).
% 1.45/1.22 tff(1181,plain,
% 1.45/1.22 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.22 inference(quant_inst,[status(thm)],[])).
% 1.45/1.22 tff(1182,plain,
% 1.45/1.22 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.22 inference(modus_ponens,[status(thm)],[1181, 1180])).
% 1.45/1.22 tff(1183,plain,
% 1.45/1.22 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.22 inference(unit_resolution,[status(thm)],[1182, 490, 1017, 1149])).
% 1.45/1.22 tff(1184,plain,
% 1.45/1.22 (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.22 inference(unit_resolution,[status(thm)],[1183, 1176, 1108, 1125])).
% 1.45/1.22 tff(1185,plain,
% 1.45/1.22 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(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] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(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)))))))))),
% 1.45/1.22 inference(rewrite,[status(thm)],[])).
% 1.45/1.22 tff(1186,plain,
% 1.45/1.22 ((ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(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)))))))))),
% 1.45/1.22 inference(rewrite,[status(thm)],[])).
% 1.45/1.22 tff(1187,plain,
% 1.45/1.22 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(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))))))))))),
% 1.45/1.22 inference(monotonicity,[status(thm)],[1186])).
% 1.45/1.22 tff(1188,plain,
% 1.45/1.22 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(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)))))))))),
% 1.45/1.22 inference(transitivity,[status(thm)],[1187, 1185])).
% 1.45/1.22 tff(1189,plain,
% 1.45/1.22 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.22 inference(quant_inst,[status(thm)],[])).
% 1.45/1.22 tff(1190,plain,
% 1.45/1.22 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(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))))))))),
% 1.45/1.22 inference(modus_ponens,[status(thm)],[1189, 1188])).
% 1.45/1.22 tff(1191,plain,
% 1.45/1.22 (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)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.22 inference(unit_resolution,[status(thm)],[1190, 566, 1017, 1149])).
% 1.45/1.22 tff(1192,plain,
% 1.45/1.22 (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.22 inference(unit_resolution,[status(thm)],[1191, 1167, 1108, 1126])).
% 1.45/1.22 tff(1193,plain,
% 1.45/1.22 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(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)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(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)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.22 inference(rewrite,[status(thm)],[])).
% 1.45/1.22 tff(1194,plain,
% 1.45/1.22 ((ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~ssRr(skf1(skf1(skf1(skf1(skf1(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)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.22 inference(rewrite,[status(thm)],[])).
% 1.45/1.22 tff(1195,plain,
% 1.45/1.22 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(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)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))))),
% 1.45/1.22 inference(monotonicity,[status(thm)],[1194])).
% 1.45/1.22 tff(1196,plain,
% 1.45/1.22 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(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)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.22 inference(transitivity,[status(thm)],[1195, 1193])).
% 1.45/1.22 tff(1197,plain,
% 1.45/1.22 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.22 inference(quant_inst,[status(thm)],[])).
% 1.45/1.22 tff(1198,plain,
% 1.45/1.22 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(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)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.22 inference(modus_ponens,[status(thm)],[1197, 1196])).
% 1.45/1.22 tff(1199,plain,
% 1.45/1.22 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.22 inference(unit_resolution,[status(thm)],[1198, 164, 1017, 1149])).
% 1.45/1.22 tff(1200,plain,
% 1.45/1.22 (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.22 inference(unit_resolution,[status(thm)],[1199, 1184, 1126, 1192])).
% 1.45/1.22 tff(1201,plain,
% 1.45/1.22 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.22 inference(rewrite,[status(thm)],[])).
% 1.45/1.22 tff(1202,plain,
% 1.45/1.22 (((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.22 inference(rewrite,[status(thm)],[])).
% 1.45/1.22 tff(1203,plain,
% 1.45/1.22 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))))),
% 1.45/1.22 inference(monotonicity,[status(thm)],[1202])).
% 1.45/1.22 tff(1204,plain,
% 1.45/1.22 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.45/1.22 inference(transitivity,[status(thm)],[1203, 1201])).
% 1.45/1.22 tff(1205,plain,
% 1.45/1.22 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.22 inference(quant_inst,[status(thm)],[])).
% 1.45/1.22 tff(1206,plain,
% 1.45/1.22 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))), skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.22 inference(modus_ponens,[status(thm)],[1205, 1204])).
% 1.45/1.22 tff(1207,plain,
% 1.45/1.22 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.22 inference(unit_resolution,[status(thm)],[1206, 786, 1017, 1149])).
% 1.45/1.22 tff(1208,plain,
% 1.45/1.22 ($false),
% 1.45/1.22 inference(unit_resolution,[status(thm)],[1207, 1200, 1184, 1126, 1167])).
% 1.45/1.22 tff(1209,plain,(ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.45/1.22 tff(1210,plain,
% 1.45/1.22 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.22 inference(unit_resolution,[status(thm)],[1209, 57, 2, 3])).
% 1.45/1.22 tff(1211,plain,
% 1.45/1.22 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.45/1.22 inference(unit_resolution,[status(thm)],[516, 1210, 1105, 890])).
% 1.45/1.22 tff(1212,plain,
% 1.45/1.22 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.22 inference(unit_resolution,[status(thm)],[939, 1210, 798, 890])).
% 1.45/1.22 tff(1213,plain,
% 1.45/1.22 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.22 inference(unit_resolution,[status(thm)],[628, 1212, 57, 890])).
% 1.45/1.22 tff(1214,plain,
% 1.45/1.22 (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.22 inference(unit_resolution,[status(thm)],[1100, 1213, 890, 1211])).
% 1.45/1.22 tff(1215,plain,
% 1.45/1.22 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.22 inference(rewrite,[status(thm)],[])).
% 1.45/1.22 tff(1216,plain,
% 1.45/1.22 ((ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.23 inference(rewrite,[status(thm)],[])).
% 1.45/1.23 tff(1217,plain,
% 1.45/1.23 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.23 inference(monotonicity,[status(thm)],[1216])).
% 1.45/1.23 tff(1218,plain,
% 1.45/1.23 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.23 inference(transitivity,[status(thm)],[1217, 1215])).
% 1.45/1.23 tff(1219,plain,
% 1.45/1.23 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.23 inference(quant_inst,[status(thm)],[])).
% 1.45/1.23 tff(1220,plain,
% 1.45/1.23 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.23 inference(modus_ponens,[status(thm)],[1219, 1218])).
% 1.45/1.23 tff(1221,plain,
% 1.45/1.23 (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[1220, 566, 442, 611])).
% 1.45/1.23 tff(1222,plain,
% 1.45/1.23 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[1221, 1211, 2, 1210])).
% 1.45/1.23 tff(1223,plain,
% 1.45/1.23 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.23 inference(rewrite,[status(thm)],[])).
% 1.45/1.23 tff(1224,plain,
% 1.45/1.23 ((ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.23 inference(rewrite,[status(thm)],[])).
% 1.45/1.23 tff(1225,plain,
% 1.45/1.23 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.23 inference(monotonicity,[status(thm)],[1224])).
% 1.45/1.23 tff(1226,plain,
% 1.45/1.23 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.23 inference(transitivity,[status(thm)],[1225, 1223])).
% 1.45/1.23 tff(1227,plain,
% 1.45/1.23 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.23 inference(quant_inst,[status(thm)],[])).
% 1.45/1.23 tff(1228,plain,
% 1.45/1.23 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.23 inference(modus_ponens,[status(thm)],[1227, 1226])).
% 1.45/1.23 tff(1229,plain,
% 1.45/1.23 (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[1228, 164, 442, 611])).
% 1.45/1.23 tff(1230,plain,
% 1.45/1.23 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[1229, 1214, 2, 1222])).
% 1.45/1.23 tff(1231,plain,
% 1.45/1.23 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.23 inference(rewrite,[status(thm)],[])).
% 1.45/1.23 tff(1232,plain,
% 1.45/1.23 (((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.23 inference(rewrite,[status(thm)],[])).
% 1.45/1.23 tff(1233,plain,
% 1.45/1.23 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.23 inference(monotonicity,[status(thm)],[1232])).
% 1.45/1.23 tff(1234,plain,
% 1.45/1.23 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.23 inference(transitivity,[status(thm)],[1233, 1231])).
% 1.45/1.23 tff(1235,plain,
% 1.45/1.23 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.23 inference(quant_inst,[status(thm)],[])).
% 1.45/1.23 tff(1236,plain,
% 1.45/1.23 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.23 inference(modus_ponens,[status(thm)],[1235, 1234])).
% 1.45/1.23 tff(1237,plain,
% 1.45/1.23 (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[1236, 786, 442, 611])).
% 1.45/1.23 tff(1238,plain,
% 1.45/1.23 ($false),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[1237, 1230, 1214, 2, 1210])).
% 1.45/1.23 tff(1239,plain,(ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.45/1.23 tff(1240,plain,
% 1.45/1.23 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[1239, 1106, 3])).
% 1.45/1.23 tff(1241,plain,
% 1.45/1.23 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[980, 1240, 3, 6])).
% 1.45/1.23 tff(1242,plain,
% 1.45/1.23 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[516, 1241, 1105, 890])).
% 1.45/1.23 tff(1243,plain,
% 1.45/1.23 (~ssPv2(skf1(elem!0))),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[92, 920, 3, 5])).
% 1.45/1.23 tff(1244,plain,
% 1.45/1.23 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)) <=> (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)))),
% 1.45/1.23 inference(bind,[status(th)],[])).
% 1.45/1.23 tff(1245,plain,
% 1.45/1.23 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.45/1.23 inference(quant_intro,[status(thm)],[1244])).
% 1.45/1.23 tff(1246,plain,
% 1.45/1.23 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.45/1.23 inference(rewrite,[status(thm)],[])).
% 1.45/1.23 tff(1247,plain,
% 1.45/1.23 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv4(V))) <=> ((~ssPv4(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> (((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv4(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) <=> ((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> (((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))))), rewrite((((~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) <=> (((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(Y))))), rewrite((((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(Y))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) <=> (((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> (((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))))), rewrite((((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) <=> ((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) <=> (((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Z)))), rewrite((((~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv4(Z)) <=> (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) <=> (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) | ssPv2(W)) <=> ((ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)))), rewrite(((ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | ssPv2(W)) <=> (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))), ((((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) | ssPv2(W)) <=> (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))))),
% 1.45/1.23 inference(bind,[status(th)],[])).
% 1.45/1.23 tff(1248,plain,
% 1.45/1.23 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) | ssPv2(W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.45/1.23 inference(quant_intro,[status(thm)],[1247])).
% 1.45/1.23 tff(1249,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (((((((((~ssRr(U, V)) | (~ssPv4(V))) | (~ssRr(W, U))) | (~ssRr(X, Y))) | (~ssPv3(Y))) | (~ssRr(W, X))) | (~ssRr(W, Z))) | ssPv4(Z)) | ssPv2(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause41')).
% 1.45/1.23 tff(1250,plain,
% 1.45/1.23 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.45/1.23 inference(modus_ponens,[status(thm)],[1249, 1248])).
% 1.45/1.23 tff(1251,plain,
% 1.45/1.23 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.45/1.23 inference(modus_ponens,[status(thm)],[1250, 1246])).
% 1.45/1.23 tff(1252,plain,(
% 1.45/1.23 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.45/1.23 inference(skolemize,[status(sab)],[1251])).
% 1.45/1.23 tff(1253,plain,
% 1.45/1.23 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))),
% 1.45/1.23 inference(modus_ponens,[status(thm)],[1252, 1245])).
% 1.45/1.23 tff(1254,plain,
% 1.45/1.23 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.23 inference(rewrite,[status(thm)],[])).
% 1.45/1.23 tff(1255,plain,
% 1.45/1.23 ((ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0))) <=> (ssPv2(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.23 inference(rewrite,[status(thm)],[])).
% 1.45/1.23 tff(1256,plain,
% 1.45/1.23 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.23 inference(monotonicity,[status(thm)],[1255])).
% 1.45/1.23 tff(1257,plain,
% 1.45/1.23 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.23 inference(transitivity,[status(thm)],[1256, 1254])).
% 1.45/1.23 tff(1258,plain,
% 1.45/1.23 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)))),
% 1.45/1.23 inference(quant_inst,[status(thm)],[])).
% 1.45/1.23 tff(1259,plain,
% 1.45/1.23 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssPv3(Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.23 inference(modus_ponens,[status(thm)],[1258, 1257])).
% 1.45/1.23 tff(1260,plain,
% 1.45/1.23 (ssPv2(skf1(elem!0)) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[1259, 1253, 15, 37])).
% 1.45/1.23 tff(1261,plain,
% 1.45/1.23 (ssPv4(skf1(skf1(elem!0)))),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[1260, 1241, 890, 1243])).
% 1.45/1.23 tff(1262,plain,
% 1.45/1.23 (^[W: $i, V: $i, U: $i, X: $i] : refl((ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V))) <=> (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V))))),
% 1.45/1.23 inference(bind,[status(th)],[])).
% 1.45/1.23 tff(1263,plain,
% 1.45/1.23 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))),
% 1.45/1.23 inference(quant_intro,[status(thm)],[1262])).
% 1.45/1.23 tff(1264,plain,
% 1.45/1.23 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V))) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))),
% 1.45/1.23 inference(rewrite,[status(thm)],[])).
% 1.45/1.23 tff(1265,plain,
% 1.45/1.23 (^[W: $i, V: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv2(V))) <=> ((~ssRr(U, V)) | (~ssPv2(V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> (((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))))), rewrite((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), ((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) <=> ((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, X))))), rewrite((((~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V)))), (((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv1(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(V))) | (~ssPv1(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv2(V)))), ((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv2(V))))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv4(W))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv2(V))) | (~ssPv4(W))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv2(V))) | (~ssPv4(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))), (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv4(W))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V))))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv4(W))) | ssPv3(W)) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V))) | ssPv3(W)))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V))) | ssPv3(W)) <=> (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))), ((((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv4(W))) | ssPv3(W)) <=> (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))))),
% 1.45/1.23 inference(bind,[status(th)],[])).
% 1.45/1.23 tff(1266,plain,
% 1.45/1.23 (![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv4(W))) | ssPv3(W)) <=> ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))),
% 1.45/1.23 inference(quant_intro,[status(thm)],[1265])).
% 1.45/1.23 tff(1267,axiom,(![W: $i, V: $i, U: $i, X: $i] : (((((((~ssRr(U, V)) | (~ssPv2(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv1(X))) | (~ssPv4(W))) | ssPv3(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause9')).
% 1.45/1.23 tff(1268,plain,
% 1.45/1.23 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))),
% 1.45/1.23 inference(modus_ponens,[status(thm)],[1267, 1266])).
% 1.45/1.23 tff(1269,plain,
% 1.45/1.23 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))),
% 1.45/1.23 inference(modus_ponens,[status(thm)],[1268, 1264])).
% 1.45/1.23 tff(1270,plain,(
% 1.45/1.23 ![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))),
% 1.45/1.23 inference(skolemize,[status(sab)],[1269])).
% 1.45/1.23 tff(1271,plain,
% 1.45/1.23 (![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))),
% 1.45/1.23 inference(modus_ponens,[status(thm)],[1270, 1263])).
% 1.45/1.23 tff(1272,plain,
% 1.45/1.23 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.23 inference(rewrite,[status(thm)],[])).
% 1.45/1.23 tff(1273,plain,
% 1.45/1.23 ((ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.23 inference(rewrite,[status(thm)],[])).
% 1.45/1.23 tff(1274,plain,
% 1.45/1.23 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.23 inference(monotonicity,[status(thm)],[1273])).
% 1.45/1.23 tff(1275,plain,
% 1.45/1.23 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.23 inference(transitivity,[status(thm)],[1274, 1272])).
% 1.45/1.23 tff(1276,plain,
% 1.45/1.23 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.23 inference(quant_inst,[status(thm)],[])).
% 1.45/1.23 tff(1277,plain,
% 1.45/1.23 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.23 inference(modus_ponens,[status(thm)],[1276, 1275])).
% 1.45/1.23 tff(1278,plain,
% 1.45/1.23 (ssPv3(skf1(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[1277, 1271, 37, 442])).
% 1.45/1.23 tff(1279,plain,
% 1.45/1.23 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[1278, 1261, 3, 1240])).
% 1.45/1.23 tff(1280,plain,
% 1.45/1.23 ($false),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[449, 1279, 1242, 3, 1105])).
% 1.45/1.23 tff(1281,plain,(ssPv3(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0))), inference(lemma,lemma(discharge,[]))).
% 1.45/1.23 tff(1282,plain,
% 1.45/1.23 (ssPv3(skf1(elem!0))),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[1281, 6, 3])).
% 1.45/1.23 tff(1283,plain,
% 1.45/1.23 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[1042, 1282, 798, 6])).
% 1.45/1.23 tff(1284,plain,
% 1.45/1.23 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[980, 1283, 3, 6])).
% 1.45/1.23 tff(1285,plain,
% 1.45/1.23 (~ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[261, 1284, 6, 890])).
% 1.45/1.23 tff(1286,plain,
% 1.45/1.23 ($false),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[1239, 1285, 1284, 3])).
% 1.45/1.23 tff(1287,plain,(ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.45/1.23 tff(1288,plain,
% 1.45/1.23 (ssPv1(skf1(elem!0))),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[1287, 3])).
% 1.45/1.23 tff(1289,plain,
% 1.45/1.23 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[117, 1288, 3, 890])).
% 1.45/1.23 tff(1290,plain,
% 1.45/1.23 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[1239, 1289, 3])).
% 1.45/1.23 tff(1291,plain,
% 1.45/1.23 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.23 inference(unit_resolution,[status(thm)],[628, 1107, 1289, 890])).
% 1.45/1.23 tff(1292,plain,
% 1.45/1.23 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | ((~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)))))) | (~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] : (ssPv4(V) | ssPv2(Y) | (~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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.24 inference(rewrite,[status(thm)],[])).
% 1.45/1.24 tff(1293,plain,
% 1.45/1.24 ((ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.24 inference(rewrite,[status(thm)],[])).
% 1.45/1.24 tff(1294,plain,
% 1.45/1.24 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | ((~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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.24 inference(monotonicity,[status(thm)],[1293])).
% 1.45/1.24 tff(1295,plain,
% 1.45/1.24 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (~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)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.24 inference(transitivity,[status(thm)],[1294, 1292])).
% 1.45/1.24 tff(1296,plain,
% 1.45/1.24 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.24 inference(quant_inst,[status(thm)],[])).
% 1.45/1.24 tff(1297,plain,
% 1.45/1.24 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.24 inference(modus_ponens,[status(thm)],[1296, 1295])).
% 1.45/1.24 tff(1298,plain,
% 1.45/1.24 ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[1297, 664, 442, 611])).
% 1.45/1.24 tff(1299,plain,
% 1.45/1.24 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[1298, 1291, 890, 1290])).
% 1.45/1.24 tff(1300,plain,
% 1.45/1.24 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[1115, 1291, 1289, 440])).
% 1.45/1.24 tff(1301,plain,
% 1.45/1.24 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[646, 1291, 1107, 440])).
% 1.45/1.24 tff(1302,plain,
% 1.45/1.24 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[1124, 1301, 1107, 440])).
% 1.45/1.24 tff(1303,plain,
% 1.45/1.24 ($false),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[996, 1302, 1300, 1289, 1299])).
% 1.45/1.24 tff(1304,plain,(ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.45/1.24 tff(1305,plain,
% 1.45/1.24 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[1304, 3])).
% 1.45/1.24 tff(1306,plain,
% 1.45/1.24 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[939, 1305, 798, 890])).
% 1.45/1.24 tff(1307,plain,
% 1.45/1.24 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[628, 1306, 1289, 890])).
% 1.45/1.24 tff(1308,plain,
% 1.45/1.24 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[1298, 1307, 890, 1290])).
% 1.45/1.24 tff(1309,plain,
% 1.45/1.24 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[516, 1305, 1105, 890])).
% 1.45/1.24 tff(1310,plain,
% 1.45/1.24 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[547, 1305, 3, 1105])).
% 1.45/1.24 tff(1311,plain,
% 1.45/1.24 (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[741, 1307, 1310, 1309])).
% 1.45/1.24 tff(1312,plain,
% 1.45/1.24 ($false),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[705, 1311, 1308, 1290, 1289])).
% 1.45/1.24 tff(1313,plain,(ssPv3(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.45/1.24 tff(1314,plain,
% 1.45/1.24 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.24 inference(rewrite,[status(thm)],[])).
% 1.45/1.24 tff(1315,plain,
% 1.45/1.24 (((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.24 inference(rewrite,[status(thm)],[])).
% 1.45/1.24 tff(1316,plain,
% 1.45/1.24 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.24 inference(monotonicity,[status(thm)],[1315])).
% 1.45/1.24 tff(1317,plain,
% 1.45/1.24 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.24 inference(transitivity,[status(thm)],[1316, 1314])).
% 1.45/1.24 tff(1318,plain,
% 1.45/1.24 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | ((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.24 inference(quant_inst,[status(thm)],[])).
% 1.45/1.24 tff(1319,plain,
% 1.45/1.24 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)) | ssPv3(X) | ssPv3(V))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.24 inference(modus_ponens,[status(thm)],[1318, 1317])).
% 1.45/1.24 tff(1320,plain,
% 1.45/1.24 ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[1319, 184, 37, 442])).
% 1.45/1.24 tff(1321,plain,
% 1.45/1.24 (ssPv4(skf1(skf1(elem!0)))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[1320, 440, 1313, 1])).
% 1.45/1.24 tff(1322,assumption,(~ssPv4(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.45/1.24 tff(1323,plain,
% 1.45/1.24 (~ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[603, 1321, 1, 440])).
% 1.45/1.24 tff(1324,plain,
% 1.45/1.24 (ssPv4(skf1(elem!0))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[1074, 1323, 1, 203])).
% 1.45/1.24 tff(1325,plain,
% 1.45/1.24 (~ssPv1(skf1(elem!0))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[595, 1323, 1, 1324])).
% 1.45/1.24 tff(1326,plain,
% 1.45/1.24 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.24 inference(rewrite,[status(thm)],[])).
% 1.45/1.24 tff(1327,plain,
% 1.45/1.24 (((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0)))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.24 inference(rewrite,[status(thm)],[])).
% 1.45/1.24 tff(1328,plain,
% 1.45/1.24 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.24 inference(monotonicity,[status(thm)],[1327])).
% 1.45/1.24 tff(1329,plain,
% 1.45/1.24 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.24 inference(transitivity,[status(thm)],[1328, 1326])).
% 1.45/1.24 tff(1330,plain,
% 1.45/1.24 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))))),
% 1.45/1.24 inference(quant_inst,[status(thm)],[])).
% 1.45/1.24 tff(1331,plain,
% 1.45/1.24 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.45/1.24 inference(modus_ponens,[status(thm)],[1330, 1329])).
% 1.45/1.24 tff(1332,plain,
% 1.45/1.24 ((~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssPv4(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[1331, 273, 15, 37])).
% 1.45/1.24 tff(1333,plain,
% 1.45/1.24 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[1332, 1325, 1313, 1324])).
% 1.45/1.24 tff(1334,plain,
% 1.45/1.24 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ((~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.24 inference(rewrite,[status(thm)],[])).
% 1.45/1.24 tff(1335,plain,
% 1.45/1.24 ((ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0))) <=> ((~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.24 inference(rewrite,[status(thm)],[])).
% 1.45/1.24 tff(1336,plain,
% 1.45/1.24 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ((~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.24 inference(monotonicity,[status(thm)],[1335])).
% 1.45/1.24 tff(1337,plain,
% 1.45/1.24 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.24 inference(transitivity,[status(thm)],[1336, 1334])).
% 1.45/1.24 tff(1338,plain,
% 1.45/1.24 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(elem!0)))),
% 1.45/1.24 inference(quant_inst,[status(thm)],[])).
% 1.45/1.24 tff(1339,plain,
% 1.45/1.24 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv4(Z)) | (~ssRr(X, Y)) | (~ssPv4(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.24 inference(modus_ponens,[status(thm)],[1338, 1337])).
% 1.45/1.24 tff(1340,plain,
% 1.45/1.24 ((~ssPv4(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[1339, 291, 15, 37])).
% 1.45/1.24 tff(1341,plain,
% 1.45/1.24 ($false),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[1340, 1333, 1325, 1, 1321])).
% 1.45/1.24 tff(1342,plain,(ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.45/1.24 tff(1343,plain,
% 1.45/1.24 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[1342, 203, 1])).
% 1.45/1.24 tff(1344,plain,
% 1.45/1.24 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.24 inference(rewrite,[status(thm)],[])).
% 1.45/1.24 tff(1345,plain,
% 1.45/1.24 ((ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.24 inference(rewrite,[status(thm)],[])).
% 1.45/1.24 tff(1346,plain,
% 1.45/1.24 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.24 inference(monotonicity,[status(thm)],[1345])).
% 1.45/1.24 tff(1347,plain,
% 1.45/1.24 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.45/1.24 inference(transitivity,[status(thm)],[1346, 1344])).
% 1.45/1.24 tff(1348,plain,
% 1.45/1.24 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.45/1.24 inference(quant_inst,[status(thm)],[])).
% 1.45/1.24 tff(1349,plain,
% 1.45/1.24 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv3(X) | (~ssPv1(V)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.24 inference(modus_ponens,[status(thm)],[1348, 1347])).
% 1.45/1.24 tff(1350,plain,
% 1.45/1.24 (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[1349, 47, 37, 442])).
% 1.45/1.24 tff(1351,plain,
% 1.45/1.24 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.24 inference(unit_resolution,[status(thm)],[1350, 2, 1, 203])).
% 1.45/1.24 tff(1352,plain,
% 1.45/1.24 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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)))))))),
% 1.45/1.24 inference(rewrite,[status(thm)],[])).
% 1.45/1.24 tff(1353,plain,
% 1.45/1.24 ((ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0)))) <=> (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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)))))))),
% 1.45/1.25 inference(rewrite,[status(thm)],[])).
% 1.45/1.25 tff(1354,plain,
% 1.45/1.25 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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))))))))),
% 1.45/1.25 inference(monotonicity,[status(thm)],[1353])).
% 1.45/1.25 tff(1355,plain,
% 1.45/1.25 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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)))))))),
% 1.45/1.25 inference(transitivity,[status(thm)],[1354, 1352])).
% 1.45/1.25 tff(1356,plain,
% 1.45/1.25 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))))),
% 1.45/1.25 inference(quant_inst,[status(thm)],[])).
% 1.45/1.25 tff(1357,plain,
% 1.45/1.25 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i, X1: $i] : (ssPv1(X1) | (~ssRr(Z, X1)) | (~ssRr(X, Y)) | (~ssPv2(Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(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))))))),
% 1.45/1.25 inference(modus_ponens,[status(thm)],[1356, 1355])).
% 1.45/1.25 tff(1358,plain,
% 1.45/1.25 (ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.25 inference(unit_resolution,[status(thm)],[1357, 254, 37, 442])).
% 1.45/1.25 tff(1359,plain,
% 1.45/1.25 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.45/1.25 inference(unit_resolution,[status(thm)],[1358, 1351, 203, 1343])).
% 1.45/1.25 tff(1360,plain,
% 1.45/1.25 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~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] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~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))))))))),
% 1.45/1.25 inference(rewrite,[status(thm)],[])).
% 1.45/1.25 tff(1361,plain,
% 1.45/1.25 ((ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.25 inference(rewrite,[status(thm)],[])).
% 1.45/1.25 tff(1362,plain,
% 1.45/1.25 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.45/1.25 inference(monotonicity,[status(thm)],[1361])).
% 1.45/1.25 tff(1363,plain,
% 1.45/1.25 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.45/1.25 inference(transitivity,[status(thm)],[1362, 1360])).
% 1.45/1.25 tff(1364,plain,
% 1.45/1.25 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.25 inference(quant_inst,[status(thm)],[])).
% 1.49/1.25 tff(1365,plain,
% 1.49/1.25 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | ssPv2(W) | ssPv2(X) | ssPv1(V) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~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)))))))),
% 1.49/1.25 inference(modus_ponens,[status(thm)],[1364, 1363])).
% 1.49/1.25 tff(1366,plain,
% 1.49/1.25 (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.25 inference(unit_resolution,[status(thm)],[1365, 67, 442, 611])).
% 1.49/1.25 tff(1367,plain,
% 1.49/1.25 (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.25 inference(unit_resolution,[status(thm)],[1366, 1359, 1, 2])).
% 1.49/1.25 tff(1368,plain,
% 1.49/1.25 (ssPv4(skf1(elem!0))),
% 1.49/1.25 inference(unit_resolution,[status(thm)],[1074, 2, 1, 203])).
% 1.49/1.25 tff(1369,plain,
% 1.49/1.25 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.49/1.25 inference(unit_resolution,[status(thm)],[1332, 1368, 1313, 6])).
% 1.49/1.25 tff(1370,plain,
% 1.49/1.25 (~ssPv4(skf1(skf1(elem!0)))),
% 1.49/1.25 inference(unit_resolution,[status(thm)],[1340, 1369, 1, 6])).
% 1.49/1.25 tff(1371,plain,
% 1.49/1.25 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | 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)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | 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)))))))),
% 1.49/1.25 inference(rewrite,[status(thm)],[])).
% 1.49/1.25 tff(1372,plain,
% 1.49/1.25 ((ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | 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)))))))),
% 1.49/1.25 inference(rewrite,[status(thm)],[])).
% 1.49/1.25 tff(1373,plain,
% 1.49/1.25 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | 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))))))))),
% 1.49/1.25 inference(monotonicity,[status(thm)],[1372])).
% 1.49/1.25 tff(1374,plain,
% 1.49/1.25 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | 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)))))))),
% 1.49/1.25 inference(transitivity,[status(thm)],[1373, 1371])).
% 1.49/1.25 tff(1375,plain,
% 1.49/1.25 ((~![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)))))),
% 1.49/1.25 inference(quant_inst,[status(thm)],[])).
% 1.49/1.25 tff(1376,plain,
% 1.49/1.25 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | ssPv4(V) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.25 inference(modus_ponens,[status(thm)],[1375, 1374])).
% 1.49/1.25 tff(1377,plain,
% 1.49/1.25 ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.25 inference(unit_resolution,[status(thm)],[1376, 490, 37, 442])).
% 1.49/1.25 tff(1378,plain,
% 1.49/1.25 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.25 inference(unit_resolution,[status(thm)],[1377, 1370, 1313, 1351])).
% 1.49/1.25 tff(1379,plain,
% 1.49/1.25 ($false),
% 1.49/1.25 inference(unit_resolution,[status(thm)],[1237, 1378, 1367, 2, 1343])).
% 1.49/1.25 tff(1380,plain,(ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.25 tff(1381,plain,
% 1.49/1.25 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.49/1.25 inference(unit_resolution,[status(thm)],[1380, 6, 1, 203])).
% 1.49/1.25 tff(1382,plain,
% 1.49/1.25 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.25 inference(rewrite,[status(thm)],[])).
% 1.49/1.25 tff(1383,plain,
% 1.49/1.25 (((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.25 inference(rewrite,[status(thm)],[])).
% 1.49/1.25 tff(1384,plain,
% 1.49/1.25 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.25 inference(monotonicity,[status(thm)],[1383])).
% 1.49/1.25 tff(1385,plain,
% 1.49/1.25 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.25 inference(transitivity,[status(thm)],[1384, 1382])).
% 1.49/1.25 tff(1386,plain,
% 1.49/1.25 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.25 inference(quant_inst,[status(thm)],[])).
% 1.49/1.25 tff(1387,plain,
% 1.49/1.25 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.25 inference(modus_ponens,[status(thm)],[1386, 1385])).
% 1.49/1.25 tff(1388,plain,
% 1.49/1.25 ((~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.25 inference(unit_resolution,[status(thm)],[1387, 621, 37, 442])).
% 1.49/1.25 tff(1389,plain,
% 1.49/1.25 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.25 inference(unit_resolution,[status(thm)],[1388, 1381, 1313, 203])).
% 1.49/1.25 tff(1390,plain,
% 1.49/1.25 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(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, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(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)))))))),
% 1.49/1.25 inference(rewrite,[status(thm)],[])).
% 1.49/1.25 tff(1391,plain,
% 1.49/1.25 ((ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(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)))))))),
% 1.49/1.25 inference(rewrite,[status(thm)],[])).
% 1.49/1.25 tff(1392,plain,
% 1.49/1.25 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(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))))))))),
% 1.49/1.25 inference(monotonicity,[status(thm)],[1391])).
% 1.49/1.25 tff(1393,plain,
% 1.49/1.25 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(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)))))))),
% 1.49/1.25 inference(transitivity,[status(thm)],[1392, 1390])).
% 1.49/1.25 tff(1394,plain,
% 1.49/1.25 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.49/1.25 inference(quant_inst,[status(thm)],[])).
% 1.49/1.25 tff(1395,plain,
% 1.49/1.25 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(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))))))),
% 1.49/1.25 inference(modus_ponens,[status(thm)],[1394, 1393])).
% 1.49/1.25 tff(1396,plain,
% 1.49/1.25 (ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.25 inference(unit_resolution,[status(thm)],[1395, 639, 37, 442])).
% 1.49/1.25 tff(1397,plain,
% 1.49/1.25 (ssPv4(skf1(skf1(elem!0)))),
% 1.49/1.25 inference(unit_resolution,[status(thm)],[1396, 1389, 1381, 1])).
% 1.49/1.25 tff(1398,plain,
% 1.49/1.25 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ((~ssPv2(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (~ssPv2(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.49/1.25 inference(rewrite,[status(thm)],[])).
% 1.49/1.25 tff(1399,plain,
% 1.49/1.25 ((ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv2(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.49/1.25 inference(rewrite,[status(thm)],[])).
% 1.49/1.25 tff(1400,plain,
% 1.49/1.25 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ((~ssPv2(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.25 inference(monotonicity,[status(thm)],[1399])).
% 1.49/1.25 tff(1401,plain,
% 1.49/1.25 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (~ssPv2(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.49/1.25 inference(transitivity,[status(thm)],[1400, 1398])).
% 1.49/1.25 tff(1402,plain,
% 1.49/1.25 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.25 inference(quant_inst,[status(thm)],[])).
% 1.49/1.25 tff(1403,plain,
% 1.49/1.25 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (~ssPv2(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.49/1.25 inference(modus_ponens,[status(thm)],[1402, 1401])).
% 1.49/1.25 tff(1404,plain,
% 1.49/1.25 ((~ssPv2(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))),
% 1.49/1.25 inference(unit_resolution,[status(thm)],[1403, 698, 15, 37])).
% 1.49/1.25 tff(1405,plain,
% 1.49/1.25 (~ssPv2(skf1(elem!0))),
% 1.49/1.25 inference(unit_resolution,[status(thm)],[1404, 1381, 6, 1])).
% 1.49/1.25 tff(1406,plain,
% 1.49/1.25 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.25 inference(rewrite,[status(thm)],[])).
% 1.49/1.25 tff(1407,plain,
% 1.49/1.25 (((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.25 inference(rewrite,[status(thm)],[])).
% 1.49/1.25 tff(1408,plain,
% 1.49/1.25 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.25 inference(monotonicity,[status(thm)],[1407])).
% 1.49/1.25 tff(1409,plain,
% 1.49/1.25 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.26 inference(transitivity,[status(thm)],[1408, 1406])).
% 1.49/1.26 tff(1410,plain,
% 1.49/1.26 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.49/1.26 inference(quant_inst,[status(thm)],[])).
% 1.49/1.26 tff(1411,plain,
% 1.49/1.26 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.26 inference(modus_ponens,[status(thm)],[1410, 1409])).
% 1.49/1.26 tff(1412,plain,
% 1.49/1.26 ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.26 inference(unit_resolution,[status(thm)],[1411, 760, 15, 37])).
% 1.49/1.26 tff(1413,plain,
% 1.49/1.26 (~ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.49/1.26 inference(unit_resolution,[status(thm)],[1412, 1405, 1313, 1397])).
% 1.49/1.26 tff(1414,plain,
% 1.49/1.26 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | 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)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | 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)))))))),
% 1.49/1.26 inference(rewrite,[status(thm)],[])).
% 1.49/1.26 tff(1415,plain,
% 1.49/1.26 ((ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0)))) <=> (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | 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)))))))),
% 1.49/1.26 inference(rewrite,[status(thm)],[])).
% 1.49/1.26 tff(1416,plain,
% 1.49/1.26 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | 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))))))))),
% 1.49/1.26 inference(monotonicity,[status(thm)],[1415])).
% 1.49/1.26 tff(1417,plain,
% 1.49/1.26 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | 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)))))))),
% 1.49/1.26 inference(transitivity,[status(thm)],[1416, 1414])).
% 1.49/1.26 tff(1418,plain,
% 1.49/1.26 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(elem!0))))),
% 1.49/1.26 inference(quant_inst,[status(thm)],[])).
% 1.49/1.26 tff(1419,plain,
% 1.49/1.26 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | ssPv4(Y) | (~ssPv1(V)) | (~ssRr(X, Y)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(W))) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | 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))))))),
% 1.49/1.26 inference(modus_ponens,[status(thm)],[1418, 1417])).
% 1.49/1.26 tff(1420,plain,
% 1.49/1.26 (ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.26 inference(unit_resolution,[status(thm)],[1419, 362, 37, 442])).
% 1.49/1.26 tff(1421,plain,
% 1.49/1.26 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.26 inference(unit_resolution,[status(thm)],[1420, 1389, 203, 1])).
% 1.49/1.26 tff(1422,plain,
% 1.49/1.26 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.26 inference(unit_resolution,[status(thm)],[1358, 1421, 203, 1343])).
% 1.49/1.26 tff(1423,plain,
% 1.49/1.26 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))) <=> (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))))),
% 1.49/1.26 inference(bind,[status(th)],[])).
% 1.49/1.26 tff(1424,plain,
% 1.49/1.26 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))),
% 1.49/1.26 inference(quant_intro,[status(thm)],[1423])).
% 1.49/1.26 tff(1425,plain,
% 1.49/1.26 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))),
% 1.49/1.26 inference(rewrite,[status(thm)],[])).
% 1.49/1.26 tff(1426,plain,
% 1.49/1.26 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) <=> (((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(X))))), rewrite((((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv2(X))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) <=> (((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))))), rewrite((((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), ((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) <=> (((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv3(W))))), rewrite((((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | (~ssPv3(W))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))), (((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) <=> ((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv2(V)) <=> (((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))) | ssPv2(V)))), rewrite((((~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))) | ssPv2(V)) <=> (ssPv2(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))), ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv2(V)) <=> (ssPv2(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv2(V)) | ssPv4(Y)) <=> ((ssPv2(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))) | ssPv4(Y)))), rewrite(((ssPv2(V) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y))) | ssPv4(Y)) <=> (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))), (((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv2(V)) | ssPv4(Y)) <=> (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))))),
% 1.49/1.26 inference(bind,[status(th)],[])).
% 1.49/1.26 tff(1427,plain,
% 1.49/1.26 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv2(V)) | ssPv4(Y)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))),
% 1.49/1.26 inference(quant_intro,[status(thm)],[1426])).
% 1.49/1.26 tff(1428,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv2(X))) | (~ssRr(W, Y))) | (~ssPv3(W))) | ssPv2(V)) | ssPv4(Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause18')).
% 1.49/1.26 tff(1429,plain,
% 1.49/1.26 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))),
% 1.49/1.26 inference(modus_ponens,[status(thm)],[1428, 1427])).
% 1.49/1.26 tff(1430,plain,
% 1.49/1.26 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))),
% 1.49/1.26 inference(modus_ponens,[status(thm)],[1429, 1425])).
% 1.49/1.26 tff(1431,plain,(
% 1.49/1.26 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))),
% 1.49/1.26 inference(skolemize,[status(sab)],[1430])).
% 1.49/1.26 tff(1432,plain,
% 1.49/1.26 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))),
% 1.49/1.26 inference(modus_ponens,[status(thm)],[1431, 1424])).
% 1.49/1.26 tff(1433,plain,
% 1.49/1.26 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.26 inference(rewrite,[status(thm)],[])).
% 1.49/1.26 tff(1434,plain,
% 1.49/1.26 ((ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.26 inference(rewrite,[status(thm)],[])).
% 1.49/1.26 tff(1435,plain,
% 1.49/1.26 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.26 inference(monotonicity,[status(thm)],[1434])).
% 1.49/1.26 tff(1436,plain,
% 1.49/1.26 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.26 inference(transitivity,[status(thm)],[1435, 1433])).
% 1.49/1.26 tff(1437,plain,
% 1.49/1.26 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.49/1.26 inference(quant_inst,[status(thm)],[])).
% 1.49/1.26 tff(1438,plain,
% 1.49/1.26 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.26 inference(modus_ponens,[status(thm)],[1437, 1436])).
% 1.49/1.26 tff(1439,plain,
% 1.49/1.26 ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.26 inference(unit_resolution,[status(thm)],[1438, 1432, 37, 442])).
% 1.49/1.26 tff(1440,plain,
% 1.49/1.26 ($false),
% 1.49/1.26 inference(unit_resolution,[status(thm)],[1439, 1422, 1413, 1313, 1381])).
% 1.49/1.26 tff(1441,plain,(ssPv1(skf1(elem!0)) | ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.26 tff(1442,plain,
% 1.49/1.26 (ssPv1(skf1(elem!0))),
% 1.49/1.26 inference(unit_resolution,[status(thm)],[1441, 203, 1])).
% 1.49/1.26 tff(1443,plain,
% 1.49/1.26 ($false),
% 1.49/1.26 inference(unit_resolution,[status(thm)],[595, 1368, 2, 1, 1442])).
% 1.49/1.26 tff(1444,plain,(ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.26 tff(1445,plain,
% 1.49/1.26 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.49/1.26 inference(unit_resolution,[status(thm)],[1444, 203, 1])).
% 1.49/1.26 tff(1446,plain,
% 1.49/1.26 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.26 inference(unit_resolution,[status(thm)],[1388, 1445, 1313, 203])).
% 1.49/1.26 tff(1447,plain,
% 1.49/1.26 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.26 inference(unit_resolution,[status(thm)],[1420, 1446, 203, 1])).
% 1.49/1.26 tff(1448,plain,
% 1.49/1.26 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.26 inference(unit_resolution,[status(thm)],[1358, 1447, 203, 1343])).
% 1.49/1.26 tff(1449,plain,
% 1.49/1.26 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.49/1.26 inference(unit_resolution,[status(thm)],[1439, 1448, 1313, 1445])).
% 1.49/1.26 tff(1450,plain,
% 1.49/1.26 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.26 inference(rewrite,[status(thm)],[])).
% 1.49/1.26 tff(1451,plain,
% 1.49/1.26 ((ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.26 inference(rewrite,[status(thm)],[])).
% 1.49/1.26 tff(1452,plain,
% 1.49/1.26 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.26 inference(monotonicity,[status(thm)],[1451])).
% 1.49/1.26 tff(1453,plain,
% 1.49/1.26 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.26 inference(transitivity,[status(thm)],[1452, 1450])).
% 1.49/1.26 tff(1454,plain,
% 1.49/1.26 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))))),
% 1.49/1.26 inference(quant_inst,[status(thm)],[])).
% 1.49/1.26 tff(1455,plain,
% 1.49/1.26 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv2(Y) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssPv2(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.26 inference(modus_ponens,[status(thm)],[1454, 1453])).
% 1.49/1.26 tff(1456,plain,
% 1.49/1.26 ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.26 inference(unit_resolution,[status(thm)],[1455, 664, 37, 442])).
% 1.49/1.26 tff(1457,plain,
% 1.49/1.26 (~ssPv2(skf1(skf1(elem!0)))),
% 1.49/1.26 inference(unit_resolution,[status(thm)],[1456, 1448, 1313, 1446])).
% 1.49/1.26 tff(1458,plain,
% 1.49/1.26 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.26 inference(rewrite,[status(thm)],[])).
% 1.49/1.26 tff(1459,plain,
% 1.49/1.26 ((ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.26 inference(rewrite,[status(thm)],[])).
% 1.49/1.26 tff(1460,plain,
% 1.49/1.26 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.26 inference(monotonicity,[status(thm)],[1459])).
% 1.49/1.26 tff(1461,plain,
% 1.49/1.26 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.26 inference(transitivity,[status(thm)],[1460, 1458])).
% 1.49/1.26 tff(1462,plain,
% 1.49/1.26 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.49/1.26 inference(quant_inst,[status(thm)],[])).
% 1.49/1.26 tff(1463,plain,
% 1.49/1.26 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv1(X) | ssPv2(V) | (~ssPv3(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.26 inference(modus_ponens,[status(thm)],[1462, 1461])).
% 1.49/1.26 tff(1464,plain,
% 1.49/1.26 ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.26 inference(unit_resolution,[status(thm)],[1463, 1056, 37, 442])).
% 1.49/1.26 tff(1465,plain,
% 1.49/1.26 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.49/1.26 inference(unit_resolution,[status(thm)],[1464, 1457, 1313, 1448])).
% 1.49/1.26 tff(1466,assumption,(ssPv4(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.49/1.26 tff(1467,assumption,(ssPv1(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.49/1.26 tff(1468,assumption,(~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))), introduced(assumption)).
% 1.49/1.26 tff(1469,assumption,(ssPv2(skf1(skf1(skf1(elem!0))))), introduced(assumption)).
% 1.49/1.26 tff(1470,assumption,(ssPv3(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.49/1.26 tff(1471,plain,
% 1.49/1.26 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(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)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.26 inference(rewrite,[status(thm)],[])).
% 1.49/1.26 tff(1472,plain,
% 1.49/1.26 ((ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.26 inference(rewrite,[status(thm)],[])).
% 1.49/1.26 tff(1473,plain,
% 1.49/1.26 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.27 inference(monotonicity,[status(thm)],[1472])).
% 1.49/1.27 tff(1474,plain,
% 1.49/1.27 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.27 inference(transitivity,[status(thm)],[1473, 1471])).
% 1.49/1.27 tff(1475,plain,
% 1.49/1.27 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.27 inference(quant_inst,[status(thm)],[])).
% 1.49/1.27 tff(1476,plain,
% 1.49/1.27 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.27 inference(modus_ponens,[status(thm)],[1475, 1474])).
% 1.49/1.27 tff(1477,plain,
% 1.49/1.27 ((~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.27 inference(unit_resolution,[status(thm)],[1476, 932, 442, 611])).
% 1.49/1.27 tff(1478,plain,
% 1.49/1.27 (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.27 inference(unit_resolution,[status(thm)],[1477, 1468, 1470, 1469])).
% 1.49/1.27 tff(1479,plain,
% 1.49/1.27 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.27 inference(rewrite,[status(thm)],[])).
% 1.49/1.27 tff(1480,plain,
% 1.49/1.27 ((ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.27 inference(rewrite,[status(thm)],[])).
% 1.49/1.27 tff(1481,plain,
% 1.49/1.27 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.27 inference(monotonicity,[status(thm)],[1480])).
% 1.49/1.27 tff(1482,plain,
% 1.49/1.27 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.27 inference(transitivity,[status(thm)],[1481, 1479])).
% 1.49/1.27 tff(1483,plain,
% 1.49/1.27 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.27 inference(quant_inst,[status(thm)],[])).
% 1.49/1.27 tff(1484,plain,
% 1.49/1.27 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.27 inference(modus_ponens,[status(thm)],[1483, 1482])).
% 1.49/1.27 tff(1485,plain,
% 1.49/1.27 ((~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.27 inference(unit_resolution,[status(thm)],[1484, 468, 442, 611])).
% 1.49/1.27 tff(1486,plain,
% 1.49/1.27 ($false),
% 1.49/1.27 inference(unit_resolution,[status(thm)],[1485, 1478, 1468, 1467, 1466])).
% 1.49/1.27 tff(1487,plain,(ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.27 tff(1488,plain,
% 1.49/1.27 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.27 inference(unit_resolution,[status(thm)],[1487, 1465, 1449, 1343, 1445])).
% 1.49/1.27 tff(1489,plain,
% 1.49/1.27 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssPv3(skf1(skf1(skf1(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))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~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))))))) | (~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(elem!0)))))))))),
% 1.49/1.27 inference(rewrite,[status(thm)],[])).
% 1.49/1.27 tff(1490,plain,
% 1.49/1.27 (((~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~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))))))) | (~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(elem!0)))))))))),
% 1.49/1.27 inference(rewrite,[status(thm)],[])).
% 1.49/1.27 tff(1491,plain,
% 1.49/1.27 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~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))))))) | (~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(elem!0))))))))))),
% 1.49/1.27 inference(monotonicity,[status(thm)],[1490])).
% 1.49/1.27 tff(1492,plain,
% 1.49/1.27 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~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))))))) | (~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(elem!0)))))))))),
% 1.49/1.27 inference(transitivity,[status(thm)],[1491, 1489])).
% 1.49/1.27 tff(1493,plain,
% 1.49/1.27 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.49/1.27 inference(quant_inst,[status(thm)],[])).
% 1.49/1.27 tff(1494,plain,
% 1.49/1.27 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssPv3(skf1(skf1(skf1(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))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.27 inference(modus_ponens,[status(thm)],[1493, 1492])).
% 1.49/1.27 tff(1495,plain,
% 1.49/1.27 ((~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.27 inference(unit_resolution,[status(thm)],[1494, 621, 611, 1017])).
% 1.49/1.27 tff(1496,plain,
% 1.49/1.27 (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.27 inference(unit_resolution,[status(thm)],[1495, 1488, 1343, 1447])).
% 1.49/1.27 tff(1497,plain,
% 1.49/1.27 (((~![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(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(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(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.27 inference(rewrite,[status(thm)],[])).
% 1.49/1.27 tff(1498,plain,
% 1.49/1.27 ((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(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.27 inference(rewrite,[status(thm)],[])).
% 1.49/1.27 tff(1499,plain,
% 1.49/1.27 (((~![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(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.49/1.27 inference(monotonicity,[status(thm)],[1498])).
% 1.49/1.27 tff(1500,plain,
% 1.49/1.27 (((~![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(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.27 inference(transitivity,[status(thm)],[1499, 1497])).
% 1.49/1.27 tff(1501,plain,
% 1.49/1.27 ((~![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)))))))),
% 1.49/1.27 inference(quant_inst,[status(thm)],[])).
% 1.49/1.27 tff(1502,plain,
% 1.49/1.27 ((~![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(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.27 inference(modus_ponens,[status(thm)],[1501, 1500])).
% 1.49/1.27 tff(1503,plain,
% 1.49/1.27 (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.27 inference(unit_resolution,[status(thm)],[1502, 490, 611, 1017])).
% 1.49/1.27 tff(1504,plain,
% 1.49/1.27 (ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.27 inference(unit_resolution,[status(thm)],[1503, 1496, 1343, 1446])).
% 1.49/1.27 tff(1505,plain,
% 1.49/1.27 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.27 inference(rewrite,[status(thm)],[])).
% 1.49/1.27 tff(1506,plain,
% 1.49/1.27 ((ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (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(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.27 inference(rewrite,[status(thm)],[])).
% 1.49/1.27 tff(1507,plain,
% 1.49/1.27 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (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(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.49/1.27 inference(monotonicity,[status(thm)],[1506])).
% 1.49/1.27 tff(1508,plain,
% 1.49/1.27 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | 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(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.27 inference(transitivity,[status(thm)],[1507, 1505])).
% 1.49/1.27 tff(1509,plain,
% 1.49/1.27 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.27 inference(quant_inst,[status(thm)],[])).
% 1.49/1.27 tff(1510,plain,
% 1.49/1.27 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv4(V) | ssPv3(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.27 inference(modus_ponens,[status(thm)],[1509, 1508])).
% 1.49/1.27 tff(1511,plain,
% 1.49/1.27 (ssPv4(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(elem!0)))))))),
% 1.49/1.27 inference(unit_resolution,[status(thm)],[1510, 639, 611, 1017])).
% 1.49/1.27 tff(1512,plain,
% 1.49/1.27 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.27 inference(unit_resolution,[status(thm)],[1511, 1496, 1446, 1488])).
% 1.49/1.27 tff(1513,plain,
% 1.49/1.27 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.27 inference(unit_resolution,[status(thm)],[1024, 1504, 1448, 1512])).
% 1.49/1.27 tff(1514,plain,
% 1.49/1.27 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~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(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | 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))))))) | (~ssPv3(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)))))))))),
% 1.49/1.27 inference(rewrite,[status(thm)],[])).
% 1.49/1.27 tff(1515,plain,
% 1.49/1.27 ((ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (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))))))) | (~ssPv3(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)))))))))),
% 1.49/1.27 inference(rewrite,[status(thm)],[])).
% 1.49/1.27 tff(1516,plain,
% 1.49/1.27 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (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))))))) | (~ssPv3(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))))))))))),
% 1.49/1.27 inference(monotonicity,[status(thm)],[1515])).
% 1.49/1.27 tff(1517,plain,
% 1.49/1.27 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | 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))))))) | (~ssPv3(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)))))))))),
% 1.49/1.28 inference(transitivity,[status(thm)],[1516, 1514])).
% 1.49/1.28 tff(1518,plain,
% 1.49/1.28 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.28 inference(quant_inst,[status(thm)],[])).
% 1.49/1.28 tff(1519,plain,
% 1.49/1.28 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.28 inference(modus_ponens,[status(thm)],[1518, 1517])).
% 1.49/1.28 tff(1520,plain,
% 1.49/1.28 (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[1519, 566, 611, 1017])).
% 1.49/1.28 tff(1521,plain,
% 1.49/1.28 (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[1520, 1512, 1446, 1448])).
% 1.49/1.28 tff(1522,plain,
% 1.49/1.28 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv2(skf1(skf1(skf1(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)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ssPv2(skf1(skf1(skf1(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)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.49/1.28 inference(rewrite,[status(thm)],[])).
% 1.49/1.28 tff(1523,plain,
% 1.49/1.28 ((ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> (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)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.49/1.28 inference(rewrite,[status(thm)],[])).
% 1.49/1.28 tff(1524,plain,
% 1.49/1.28 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (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)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.49/1.28 inference(monotonicity,[status(thm)],[1523])).
% 1.49/1.28 tff(1525,plain,
% 1.49/1.28 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | 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)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.49/1.28 inference(transitivity,[status(thm)],[1524, 1522])).
% 1.49/1.28 tff(1526,plain,
% 1.49/1.28 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.49/1.28 inference(quant_inst,[status(thm)],[])).
% 1.49/1.28 tff(1527,plain,
% 1.49/1.28 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv4(Z) | (~ssRr(X, Y)) | (~ssPv2(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W) | (~ssPv1(Y)))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.28 inference(modus_ponens,[status(thm)],[1526, 1525])).
% 1.49/1.28 tff(1528,plain,
% 1.49/1.28 (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[1527, 164, 611, 1017])).
% 1.49/1.28 tff(1529,plain,
% 1.49/1.28 ($false),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[1528, 1521, 1513, 1448, 1504])).
% 1.49/1.28 tff(1530,plain,(ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.28 tff(1531,plain,
% 1.49/1.28 (ssPv1(skf1(skf1(elem!0)))),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[1530, 1])).
% 1.49/1.28 tff(1532,assumption,(~ssPv4(skf1(elem!0))), introduced(assumption)).
% 1.49/1.28 tff(1533,plain,
% 1.49/1.28 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.28 inference(rewrite,[status(thm)],[])).
% 1.49/1.28 tff(1534,plain,
% 1.49/1.28 ((ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.28 inference(rewrite,[status(thm)],[])).
% 1.49/1.28 tff(1535,plain,
% 1.49/1.28 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.28 inference(monotonicity,[status(thm)],[1534])).
% 1.49/1.28 tff(1536,plain,
% 1.49/1.28 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.28 inference(transitivity,[status(thm)],[1535, 1533])).
% 1.49/1.28 tff(1537,plain,
% 1.49/1.28 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.49/1.28 inference(quant_inst,[status(thm)],[])).
% 1.49/1.28 tff(1538,plain,
% 1.49/1.28 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.49/1.28 inference(modus_ponens,[status(thm)],[1537, 1536])).
% 1.49/1.28 tff(1539,plain,
% 1.49/1.28 ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[1538, 413, 15, 37])).
% 1.49/1.28 tff(1540,plain,
% 1.49/1.28 (ssPv2(skf1(skf1(elem!0)))),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[1539, 1532, 1313, 2])).
% 1.49/1.28 tff(1541,plain,
% 1.49/1.28 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.28 inference(rewrite,[status(thm)],[])).
% 1.49/1.28 tff(1542,plain,
% 1.49/1.28 ((ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.28 inference(rewrite,[status(thm)],[])).
% 1.49/1.28 tff(1543,plain,
% 1.49/1.28 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.28 inference(monotonicity,[status(thm)],[1542])).
% 1.49/1.28 tff(1544,plain,
% 1.49/1.28 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.28 inference(transitivity,[status(thm)],[1543, 1541])).
% 1.49/1.28 tff(1545,plain,
% 1.49/1.28 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.49/1.28 inference(quant_inst,[status(thm)],[])).
% 1.49/1.28 tff(1546,plain,
% 1.49/1.28 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | ssPv2(V) | (~ssPv3(X)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.49/1.28 inference(modus_ponens,[status(thm)],[1545, 1544])).
% 1.49/1.28 tff(1547,plain,
% 1.49/1.28 ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | ssPv4(skf1(elem!0)) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[1546, 566, 15, 37])).
% 1.49/1.28 tff(1548,plain,
% 1.49/1.28 (ssPv2(skf1(elem!0))),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[1547, 1532, 1313, 2])).
% 1.49/1.28 tff(1549,plain,
% 1.49/1.28 (~ssPv3(skf1(elem!0))),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[671, 1548, 2, 1322])).
% 1.49/1.28 tff(1550,plain,
% 1.49/1.28 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)))),
% 1.49/1.28 inference(rewrite,[status(thm)],[])).
% 1.49/1.28 tff(1551,plain,
% 1.49/1.28 ((ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)))),
% 1.49/1.28 inference(rewrite,[status(thm)],[])).
% 1.49/1.28 tff(1552,plain,
% 1.49/1.28 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0))))),
% 1.49/1.28 inference(monotonicity,[status(thm)],[1551])).
% 1.49/1.28 tff(1553,plain,
% 1.49/1.28 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)))),
% 1.49/1.28 inference(transitivity,[status(thm)],[1552, 1550])).
% 1.49/1.28 tff(1554,plain,
% 1.49/1.28 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)))),
% 1.49/1.28 inference(quant_inst,[status(thm)],[])).
% 1.49/1.28 tff(1555,plain,
% 1.49/1.28 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0))),
% 1.49/1.28 inference(modus_ponens,[status(thm)],[1554, 1553])).
% 1.49/1.28 tff(1556,plain,
% 1.49/1.28 ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | ssPv3(skf1(elem!0))),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[1555, 110, 17, 15])).
% 1.49/1.28 tff(1557,plain,
% 1.49/1.28 (~ssPv1(elem!0)),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[1556, 1549, 1313, 352])).
% 1.49/1.28 tff(1558,plain,
% 1.49/1.28 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssPv2(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssPv2(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.49/1.28 inference(rewrite,[status(thm)],[])).
% 1.49/1.28 tff(1559,plain,
% 1.49/1.28 (((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | ssPv1(elem!0) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0))))) <=> ((~ssPv2(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.49/1.28 inference(rewrite,[status(thm)],[])).
% 1.49/1.28 tff(1560,plain,
% 1.49/1.28 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | ssPv1(elem!0) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssPv2(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.49/1.28 inference(monotonicity,[status(thm)],[1559])).
% 1.49/1.28 tff(1561,plain,
% 1.49/1.28 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | ssPv1(elem!0) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssPv2(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.49/1.28 inference(transitivity,[status(thm)],[1560, 1558])).
% 1.49/1.28 tff(1562,plain,
% 1.49/1.28 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | ((~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(elem!0)) | ssPv1(elem!0) | (~ssPv2(skf1(elem!0))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.49/1.28 inference(quant_inst,[status(thm)],[])).
% 1.49/1.28 tff(1563,plain,
% 1.49/1.28 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | ssPv1(W) | (~ssPv2(X)) | (~ssPv4(V)))) | (~ssPv2(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.49/1.28 inference(modus_ponens,[status(thm)],[1562, 1561])).
% 1.49/1.28 tff(1564,plain,
% 1.49/1.28 ((~ssPv2(skf1(elem!0))) | (~ssPv3(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0)),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[1563, 621, 17, 15])).
% 1.49/1.28 tff(1565,plain,
% 1.49/1.28 (~ssPv3(elem!0)),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[1564, 1557, 1548, 586])).
% 1.49/1.28 tff(1566,plain,
% 1.49/1.28 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv3(elem!0) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv3(elem!0) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.49/1.28 inference(rewrite,[status(thm)],[])).
% 1.49/1.28 tff(1567,plain,
% 1.49/1.28 (((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv3(elem!0) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | ssPv3(elem!0) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.49/1.28 inference(rewrite,[status(thm)],[])).
% 1.49/1.28 tff(1568,plain,
% 1.49/1.28 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv3(elem!0) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv3(elem!0) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.49/1.28 inference(monotonicity,[status(thm)],[1567])).
% 1.49/1.28 tff(1569,plain,
% 1.49/1.28 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv3(elem!0) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv3(elem!0) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.49/1.28 inference(transitivity,[status(thm)],[1568, 1566])).
% 1.49/1.28 tff(1570,plain,
% 1.49/1.28 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv3(elem!0) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.49/1.28 inference(quant_inst,[status(thm)],[])).
% 1.49/1.28 tff(1571,plain,
% 1.49/1.28 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv2(Y)) | ssPv3(W) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv3(elem!0) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.49/1.28 inference(modus_ponens,[status(thm)],[1570, 1569])).
% 1.49/1.28 tff(1572,plain,
% 1.49/1.28 ((~ssPv3(skf1(skf1(elem!0)))) | ssPv3(elem!0) | ssPv1(elem!0) | (~ssPv2(skf1(skf1(elem!0))))),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[1571, 901, 17, 15])).
% 1.49/1.28 tff(1573,plain,
% 1.49/1.28 ($false),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[1572, 1565, 1557, 1313, 1540])).
% 1.49/1.28 tff(1574,plain,(ssPv4(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.28 tff(1575,plain,
% 1.49/1.28 (ssPv4(skf1(elem!0))),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[1574, 1322, 1531, 2, 586])).
% 1.49/1.28 tff(1576,plain,
% 1.49/1.28 (~ssPv1(skf1(elem!0))),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[595, 1575, 1, 2])).
% 1.49/1.28 tff(1577,plain,
% 1.49/1.28 ($false),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[1332, 1576, 1575, 1313, 1322])).
% 1.49/1.28 tff(1578,plain,(ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.28 tff(1579,plain,
% 1.49/1.28 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[1578, 1321, 2, 1])).
% 1.49/1.28 tff(1580,plain,
% 1.49/1.28 (ssPv1(skf1(elem!0))),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[1340, 1579, 1, 1321])).
% 1.49/1.28 tff(1581,plain,
% 1.49/1.28 (~ssPv4(skf1(elem!0))),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[595, 1580, 1, 2])).
% 1.49/1.28 tff(1582,plain,
% 1.49/1.28 (ssPv2(skf1(skf1(elem!0)))),
% 1.49/1.28 inference(unit_resolution,[status(thm)],[457, 1579, 1531, 440])).
% 1.49/1.28 tff(1583,plain,
% 1.49/1.28 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.28 inference(rewrite,[status(thm)],[])).
% 1.49/1.28 tff(1584,plain,
% 1.49/1.28 ((ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.28 inference(rewrite,[status(thm)],[])).
% 1.49/1.28 tff(1585,plain,
% 1.49/1.28 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.29 inference(monotonicity,[status(thm)],[1584])).
% 1.49/1.29 tff(1586,plain,
% 1.49/1.29 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.29 inference(transitivity,[status(thm)],[1585, 1583])).
% 1.49/1.29 tff(1587,plain,
% 1.49/1.29 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.49/1.29 inference(quant_inst,[status(thm)],[])).
% 1.49/1.29 tff(1588,plain,
% 1.49/1.29 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssRr(X, Y)) | ssPv2(V) | (~ssPv2(Z)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.49/1.29 inference(modus_ponens,[status(thm)],[1587, 1586])).
% 1.49/1.29 tff(1589,plain,
% 1.49/1.29 ((~ssPv2(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.49/1.29 inference(unit_resolution,[status(thm)],[1588, 431, 15, 37])).
% 1.49/1.29 tff(1590,plain,
% 1.49/1.29 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.49/1.29 inference(unit_resolution,[status(thm)],[1589, 1582, 2, 1581])).
% 1.49/1.29 tff(1591,plain,
% 1.49/1.29 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~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))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.29 inference(rewrite,[status(thm)],[])).
% 1.49/1.29 tff(1592,plain,
% 1.49/1.29 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(elem!0))))) <=> ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | 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)))))))),
% 1.49/1.29 inference(rewrite,[status(thm)],[])).
% 1.49/1.29 tff(1593,plain,
% 1.49/1.29 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | 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))))))))),
% 1.49/1.29 inference(monotonicity,[status(thm)],[1592])).
% 1.49/1.29 tff(1594,plain,
% 1.49/1.29 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | 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)))))))),
% 1.49/1.29 inference(transitivity,[status(thm)],[1593, 1591])).
% 1.49/1.29 tff(1595,plain,
% 1.49/1.29 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(elem!0)))))),
% 1.49/1.29 inference(quant_inst,[status(thm)],[])).
% 1.49/1.29 tff(1596,plain,
% 1.49/1.29 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv4(W)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | 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))))))),
% 1.49/1.29 inference(modus_ponens,[status(thm)],[1595, 1594])).
% 1.49/1.29 tff(1597,plain,
% 1.49/1.29 ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.29 inference(unit_resolution,[status(thm)],[1596, 468, 37, 442])).
% 1.49/1.29 tff(1598,plain,
% 1.49/1.29 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.29 inference(unit_resolution,[status(thm)],[1597, 440, 1531, 1321])).
% 1.49/1.29 tff(1599,plain,
% 1.49/1.29 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.29 inference(unit_resolution,[status(thm)],[1124, 1579, 1598, 440])).
% 1.49/1.29 tff(1600,plain,
% 1.49/1.29 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.29 inference(rewrite,[status(thm)],[])).
% 1.49/1.29 tff(1601,plain,
% 1.49/1.29 ((ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.29 inference(rewrite,[status(thm)],[])).
% 1.49/1.29 tff(1602,plain,
% 1.49/1.29 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.49/1.29 inference(monotonicity,[status(thm)],[1601])).
% 1.49/1.29 tff(1603,plain,
% 1.49/1.29 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.29 inference(transitivity,[status(thm)],[1602, 1600])).
% 1.49/1.29 tff(1604,plain,
% 1.49/1.29 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.29 inference(quant_inst,[status(thm)],[])).
% 1.49/1.29 tff(1605,plain,
% 1.49/1.29 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv3(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(Y)) | (~ssPv1(W)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.29 inference(modus_ponens,[status(thm)],[1604, 1603])).
% 1.49/1.29 tff(1606,plain,
% 1.49/1.29 ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.29 inference(unit_resolution,[status(thm)],[1605, 110, 442, 611])).
% 1.49/1.29 tff(1607,plain,
% 1.49/1.29 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.29 inference(unit_resolution,[status(thm)],[1606, 1599, 440, 1590])).
% 1.49/1.29 tff(1608,plain,
% 1.49/1.29 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))))),
% 1.49/1.29 inference(rewrite,[status(thm)],[])).
% 1.49/1.29 tff(1609,plain,
% 1.49/1.29 ((ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))))),
% 1.49/1.29 inference(rewrite,[status(thm)],[])).
% 1.49/1.29 tff(1610,plain,
% 1.49/1.29 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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)))))))))),
% 1.49/1.29 inference(monotonicity,[status(thm)],[1609])).
% 1.49/1.29 tff(1611,plain,
% 1.49/1.29 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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))))))))),
% 1.49/1.29 inference(transitivity,[status(thm)],[1610, 1608])).
% 1.49/1.29 tff(1612,plain,
% 1.49/1.29 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.29 inference(quant_inst,[status(thm)],[])).
% 1.49/1.29 tff(1613,plain,
% 1.49/1.29 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.29 inference(modus_ponens,[status(thm)],[1612, 1611])).
% 1.49/1.29 tff(1614,plain,
% 1.49/1.29 (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.29 inference(unit_resolution,[status(thm)],[1613, 540, 442, 611])).
% 1.49/1.29 tff(1615,plain,
% 1.49/1.29 ($false),
% 1.49/1.29 inference(unit_resolution,[status(thm)],[1614, 1607, 1599, 1, 1590])).
% 1.49/1.29 tff(1616,plain,(ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.29 tff(1617,plain,
% 1.49/1.29 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.29 inference(unit_resolution,[status(thm)],[1616, 2, 1])).
% 1.49/1.29 tff(1618,plain,
% 1.49/1.29 (~ssPv4(skf1(skf1(elem!0)))),
% 1.49/1.29 inference(unit_resolution,[status(thm)],[1578, 1322, 2, 1])).
% 1.49/1.29 tff(1619,plain,
% 1.49/1.29 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.29 inference(unit_resolution,[status(thm)],[1221, 1322, 2, 1617])).
% 1.49/1.29 tff(1620,plain,
% 1.49/1.29 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.29 inference(unit_resolution,[status(thm)],[555, 1617, 1, 1531])).
% 1.49/1.29 tff(1621,plain,
% 1.49/1.29 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.29 inference(rewrite,[status(thm)],[])).
% 1.49/1.29 tff(1622,plain,
% 1.49/1.29 ((ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.29 inference(rewrite,[status(thm)],[])).
% 1.49/1.29 tff(1623,plain,
% 1.49/1.29 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.49/1.29 inference(monotonicity,[status(thm)],[1622])).
% 1.49/1.29 tff(1624,plain,
% 1.49/1.29 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.29 inference(transitivity,[status(thm)],[1623, 1621])).
% 1.49/1.29 tff(1625,plain,
% 1.49/1.29 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.29 inference(quant_inst,[status(thm)],[])).
% 1.49/1.29 tff(1626,plain,
% 1.49/1.29 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv1(Z) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.29 inference(modus_ponens,[status(thm)],[1625, 1624])).
% 1.49/1.29 tff(1627,plain,
% 1.49/1.29 (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.29 inference(unit_resolution,[status(thm)],[1626, 341, 442, 611])).
% 1.49/1.29 tff(1628,plain,
% 1.49/1.29 (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.29 inference(unit_resolution,[status(thm)],[1627, 1322, 1620, 1619])).
% 1.49/1.29 tff(1629,plain,
% 1.49/1.29 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0))))))))),
% 1.49/1.29 inference(rewrite,[status(thm)],[])).
% 1.49/1.29 tff(1630,plain,
% 1.49/1.29 ((ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0))))))))),
% 1.49/1.29 inference(rewrite,[status(thm)],[])).
% 1.49/1.29 tff(1631,plain,
% 1.49/1.29 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0)))))))))),
% 1.49/1.29 inference(monotonicity,[status(thm)],[1630])).
% 1.49/1.29 tff(1632,plain,
% 1.49/1.29 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0))))))))),
% 1.49/1.29 inference(transitivity,[status(thm)],[1631, 1629])).
% 1.49/1.29 tff(1633,plain,
% 1.49/1.29 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.30 inference(quant_inst,[status(thm)],[])).
% 1.49/1.30 tff(1634,plain,
% 1.49/1.30 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssPv2(V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0)))))))),
% 1.49/1.30 inference(modus_ponens,[status(thm)],[1633, 1632])).
% 1.49/1.30 tff(1635,plain,
% 1.49/1.30 (ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[1634, 391, 442, 611])).
% 1.49/1.30 tff(1636,plain,
% 1.49/1.30 (~ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[1635, 1628, 1322, 1619])).
% 1.49/1.30 tff(1637,plain,
% 1.49/1.30 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~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) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~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)))))))),
% 1.49/1.30 inference(rewrite,[status(thm)],[])).
% 1.49/1.30 tff(1638,plain,
% 1.49/1.30 ((ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~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)))))))),
% 1.49/1.30 inference(rewrite,[status(thm)],[])).
% 1.49/1.30 tff(1639,plain,
% 1.49/1.30 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~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))))))))),
% 1.49/1.30 inference(monotonicity,[status(thm)],[1638])).
% 1.49/1.30 tff(1640,plain,
% 1.49/1.30 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~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)))))))),
% 1.49/1.30 inference(transitivity,[status(thm)],[1639, 1637])).
% 1.49/1.30 tff(1641,plain,
% 1.49/1.30 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.30 inference(quant_inst,[status(thm)],[])).
% 1.49/1.30 tff(1642,plain,
% 1.49/1.30 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.30 inference(modus_ponens,[status(thm)],[1641, 1640])).
% 1.49/1.30 tff(1643,plain,
% 1.49/1.30 (ssPv4(skf1(skf1(elem!0))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[1642, 309, 37, 442])).
% 1.49/1.30 tff(1644,plain,
% 1.49/1.30 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[1643, 1636, 1617, 1618])).
% 1.49/1.30 tff(1645,plain,
% 1.49/1.30 ($false),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[582, 1644, 1636, 1618, 1617])).
% 1.49/1.30 tff(1646,plain,(ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.30 tff(1647,plain,
% 1.49/1.30 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[1646, 2, 1])).
% 1.49/1.30 tff(1648,plain,
% 1.49/1.30 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[1377, 520, 1313, 1620])).
% 1.49/1.30 tff(1649,plain,
% 1.49/1.30 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~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, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.30 inference(rewrite,[status(thm)],[])).
% 1.49/1.30 tff(1650,plain,
% 1.49/1.30 (((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.30 inference(rewrite,[status(thm)],[])).
% 1.49/1.30 tff(1651,plain,
% 1.49/1.30 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.49/1.30 inference(monotonicity,[status(thm)],[1650])).
% 1.49/1.30 tff(1652,plain,
% 1.49/1.30 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.30 inference(transitivity,[status(thm)],[1651, 1649])).
% 1.49/1.30 tff(1653,plain,
% 1.49/1.30 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.30 inference(quant_inst,[status(thm)],[])).
% 1.49/1.30 tff(1654,plain,
% 1.49/1.30 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.30 inference(modus_ponens,[status(thm)],[1653, 1652])).
% 1.49/1.30 tff(1655,plain,
% 1.49/1.30 (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[1654, 760, 442, 611])).
% 1.49/1.30 tff(1656,plain,
% 1.49/1.30 (~ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[1655, 1648, 2, 1617])).
% 1.49/1.30 tff(1657,plain,
% 1.49/1.30 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.30 inference(rewrite,[status(thm)],[])).
% 1.49/1.30 tff(1658,plain,
% 1.49/1.30 (((~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))) <=> (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.30 inference(rewrite,[status(thm)],[])).
% 1.49/1.30 tff(1659,plain,
% 1.49/1.30 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.49/1.30 inference(monotonicity,[status(thm)],[1658])).
% 1.49/1.30 tff(1660,plain,
% 1.49/1.30 (((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.30 inference(transitivity,[status(thm)],[1659, 1657])).
% 1.49/1.30 tff(1661,plain,
% 1.49/1.30 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ((~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.30 inference(quant_inst,[status(thm)],[])).
% 1.49/1.30 tff(1662,plain,
% 1.49/1.30 ((~![W: $i, V: $i, U: $i, X: $i] : ((~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(X)) | ssPv1(W) | ssPv4(V) | (~ssPv4(W)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.30 inference(modus_ponens,[status(thm)],[1661, 1660])).
% 1.49/1.30 tff(1663,plain,
% 1.49/1.30 (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[1662, 273, 442, 611])).
% 1.49/1.30 tff(1664,plain,
% 1.49/1.30 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[1663, 1656, 1617, 1647])).
% 1.49/1.30 tff(1665,plain,
% 1.49/1.30 (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[1237, 1648, 2, 1617])).
% 1.49/1.30 tff(1666,plain,
% 1.49/1.30 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[1366, 1665, 1, 2])).
% 1.49/1.30 tff(1667,plain,
% 1.49/1.30 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.30 inference(rewrite,[status(thm)],[])).
% 1.49/1.30 tff(1668,plain,
% 1.49/1.30 (((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.30 inference(rewrite,[status(thm)],[])).
% 1.49/1.30 tff(1669,plain,
% 1.49/1.30 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.30 inference(monotonicity,[status(thm)],[1668])).
% 1.49/1.30 tff(1670,plain,
% 1.49/1.30 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.30 inference(transitivity,[status(thm)],[1669, 1667])).
% 1.49/1.30 tff(1671,plain,
% 1.49/1.30 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.30 inference(quant_inst,[status(thm)],[])).
% 1.49/1.30 tff(1672,plain,
% 1.49/1.30 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.30 inference(modus_ponens,[status(thm)],[1671, 1670])).
% 1.49/1.30 tff(1673,plain,
% 1.49/1.30 (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[1672, 716, 37, 442])).
% 1.49/1.30 tff(1674,plain,
% 1.49/1.30 ($false),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[1673, 1666, 1664, 520, 1648])).
% 1.49/1.30 tff(1675,plain,(ssPv4(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.30 tff(1676,plain,
% 1.49/1.30 (ssPv4(skf1(skf1(elem!0)))),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[1675, 2, 1])).
% 1.49/1.30 tff(1677,plain,
% 1.49/1.30 (ssPv1(skf1(elem!0))),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[1340, 1676, 1, 1647])).
% 1.49/1.30 tff(1678,plain,
% 1.49/1.30 (~ssPv4(skf1(elem!0))),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[595, 1677, 1, 2])).
% 1.49/1.30 tff(1679,plain,
% 1.49/1.30 (ssPv2(skf1(skf1(elem!0)))),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[1539, 1678, 1313, 2])).
% 1.49/1.30 tff(1680,plain,
% 1.49/1.30 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[1589, 1679, 2, 1678])).
% 1.49/1.30 tff(1681,assumption,(~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))), introduced(assumption)).
% 1.49/1.30 tff(1682,plain,
% 1.49/1.30 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0)))))))),
% 1.49/1.30 inference(rewrite,[status(thm)],[])).
% 1.49/1.30 tff(1683,plain,
% 1.49/1.30 ((ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0)))))))),
% 1.49/1.30 inference(rewrite,[status(thm)],[])).
% 1.49/1.30 tff(1684,plain,
% 1.49/1.30 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0))))))))),
% 1.49/1.30 inference(monotonicity,[status(thm)],[1683])).
% 1.49/1.30 tff(1685,plain,
% 1.49/1.30 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0)))))))),
% 1.49/1.30 inference(transitivity,[status(thm)],[1684, 1682])).
% 1.49/1.30 tff(1686,plain,
% 1.49/1.30 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.30 inference(quant_inst,[status(thm)],[])).
% 1.49/1.30 tff(1687,plain,
% 1.49/1.30 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(V) | ssPv2(Y) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0))))))),
% 1.49/1.30 inference(modus_ponens,[status(thm)],[1686, 1685])).
% 1.49/1.30 tff(1688,plain,
% 1.49/1.30 (ssPv3(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[1687, 128, 442, 611])).
% 1.49/1.30 tff(1689,plain,
% 1.49/1.30 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.30 inference(unit_resolution,[status(thm)],[1688, 1681, 1, 1680])).
% 1.49/1.30 tff(1690,plain,
% 1.49/1.30 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.30 inference(rewrite,[status(thm)],[])).
% 1.49/1.30 tff(1691,plain,
% 1.49/1.30 ((ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.30 inference(rewrite,[status(thm)],[])).
% 1.49/1.30 tff(1692,plain,
% 1.49/1.30 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.49/1.31 inference(monotonicity,[status(thm)],[1691])).
% 1.49/1.31 tff(1693,plain,
% 1.49/1.31 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.31 inference(transitivity,[status(thm)],[1692, 1690])).
% 1.49/1.31 tff(1694,plain,
% 1.49/1.31 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.31 inference(quant_inst,[status(thm)],[])).
% 1.49/1.31 tff(1695,plain,
% 1.49/1.31 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv2(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv3(V) | (~ssPv1(W)) | (~ssPv4(X)))) | ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.31 inference(modus_ponens,[status(thm)],[1694, 1693])).
% 1.49/1.31 tff(1696,plain,
% 1.49/1.31 (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.31 inference(unit_resolution,[status(thm)],[1695, 146, 442, 611])).
% 1.49/1.31 tff(1697,plain,
% 1.49/1.31 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.31 inference(unit_resolution,[status(thm)],[1696, 1681, 2, 1680])).
% 1.49/1.31 tff(1698,plain,
% 1.49/1.31 (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.31 inference(unit_resolution,[status(thm)],[1495, 1689, 1617, 1620])).
% 1.49/1.31 tff(1699,plain,
% 1.49/1.31 ($false),
% 1.49/1.31 inference(unit_resolution,[status(thm)],[1511, 1698, 1697, 1681, 1689])).
% 1.49/1.31 tff(1700,plain,(ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.31 tff(1701,plain,
% 1.49/1.31 (ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.31 inference(unit_resolution,[status(thm)],[1700, 2, 1])).
% 1.49/1.31 tff(1702,plain,
% 1.49/1.31 (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.31 inference(unit_resolution,[status(thm)],[1614, 1701, 1, 1680])).
% 1.49/1.31 tff(1703,plain,
% 1.49/1.31 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.31 inference(rewrite,[status(thm)],[])).
% 1.49/1.31 tff(1704,plain,
% 1.49/1.31 (((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))) <=> ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.31 inference(rewrite,[status(thm)],[])).
% 1.49/1.31 tff(1705,plain,
% 1.49/1.31 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.49/1.31 inference(monotonicity,[status(thm)],[1704])).
% 1.49/1.31 tff(1706,plain,
% 1.49/1.31 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.31 inference(transitivity,[status(thm)],[1705, 1703])).
% 1.49/1.31 tff(1707,plain,
% 1.49/1.31 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.31 inference(quant_inst,[status(thm)],[])).
% 1.49/1.31 tff(1708,plain,
% 1.49/1.31 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.31 inference(modus_ponens,[status(thm)],[1707, 1706])).
% 1.49/1.31 tff(1709,plain,
% 1.49/1.31 ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.31 inference(unit_resolution,[status(thm)],[1708, 509, 442, 611])).
% 1.49/1.31 tff(1710,plain,
% 1.49/1.31 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.31 inference(unit_resolution,[status(thm)],[1709, 1701, 1617, 1680])).
% 1.49/1.31 tff(1711,plain,
% 1.49/1.31 (~ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.31 inference(unit_resolution,[status(thm)],[1229, 1710, 2, 1702])).
% 1.49/1.31 tff(1712,plain,
% 1.49/1.31 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(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, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(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)))))))))),
% 1.49/1.31 inference(rewrite,[status(thm)],[])).
% 1.49/1.31 tff(1713,plain,
% 1.49/1.31 ((ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(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)))))))))),
% 1.49/1.31 inference(rewrite,[status(thm)],[])).
% 1.49/1.31 tff(1714,plain,
% 1.49/1.31 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(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))))))))))),
% 1.49/1.31 inference(monotonicity,[status(thm)],[1713])).
% 1.49/1.31 tff(1715,plain,
% 1.49/1.31 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(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)))))))))),
% 1.49/1.31 inference(transitivity,[status(thm)],[1714, 1712])).
% 1.49/1.31 tff(1716,plain,
% 1.49/1.31 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.31 inference(quant_inst,[status(thm)],[])).
% 1.49/1.31 tff(1717,plain,
% 1.49/1.31 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv2(Y) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv4(W) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(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))))))))),
% 1.49/1.31 inference(modus_ponens,[status(thm)],[1716, 1715])).
% 1.49/1.31 tff(1718,plain,
% 1.49/1.31 (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.31 inference(unit_resolution,[status(thm)],[1717, 413, 611, 1017])).
% 1.49/1.31 tff(1719,plain,
% 1.49/1.31 (ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.31 inference(unit_resolution,[status(thm)],[1718, 1711, 1701, 1710])).
% 1.49/1.31 tff(1720,plain,
% 1.49/1.31 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.49/1.31 inference(rewrite,[status(thm)],[])).
% 1.49/1.31 tff(1721,plain,
% 1.49/1.31 (((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.49/1.31 inference(rewrite,[status(thm)],[])).
% 1.49/1.31 tff(1722,plain,
% 1.49/1.31 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))))),
% 1.49/1.31 inference(monotonicity,[status(thm)],[1721])).
% 1.49/1.31 tff(1723,plain,
% 1.49/1.31 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.49/1.31 inference(transitivity,[status(thm)],[1722, 1720])).
% 1.49/1.31 tff(1724,plain,
% 1.49/1.31 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.49/1.31 inference(quant_inst,[status(thm)],[])).
% 1.49/1.31 tff(1725,plain,
% 1.49/1.31 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.31 inference(modus_ponens,[status(thm)],[1724, 1723])).
% 1.49/1.31 tff(1726,plain,
% 1.49/1.31 (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.31 inference(unit_resolution,[status(thm)],[1725, 716, 611, 1017])).
% 1.49/1.31 tff(1727,plain,
% 1.49/1.31 (~ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.31 inference(unit_resolution,[status(thm)],[1726, 1719, 1710, 1702])).
% 1.49/1.31 tff(1728,assumption,(~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.49/1.31 tff(1729,plain,
% 1.49/1.31 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.31 inference(unit_resolution,[status(thm)],[1456, 1728, 1313, 1679])).
% 1.49/1.31 tff(1730,plain,
% 1.49/1.31 (ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.31 inference(unit_resolution,[status(thm)],[1366, 1728, 1, 2])).
% 1.49/1.31 tff(1731,plain,
% 1.49/1.31 ($false),
% 1.49/1.31 inference(unit_resolution,[status(thm)],[1237, 1730, 1729, 2, 1617])).
% 1.49/1.31 tff(1732,plain,(ssPv2(skf1(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.31 tff(1733,plain,
% 1.49/1.31 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.31 inference(unit_resolution,[status(thm)],[1732, 2, 1])).
% 1.49/1.31 tff(1734,plain,
% 1.49/1.31 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ((~ssPv2(skf1(skf1(skf1(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(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] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (~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))))))) | (~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)))))))))),
% 1.49/1.31 inference(rewrite,[status(thm)],[])).
% 1.49/1.31 tff(1735,plain,
% 1.49/1.31 ((ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~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))))))) | (~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)))))))))),
% 1.49/1.31 inference(rewrite,[status(thm)],[])).
% 1.49/1.31 tff(1736,plain,
% 1.49/1.31 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | ((~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))))))) | (~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))))))))))),
% 1.49/1.31 inference(monotonicity,[status(thm)],[1735])).
% 1.49/1.31 tff(1737,plain,
% 1.49/1.31 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (~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))))))) | (~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)))))))))),
% 1.49/1.31 inference(transitivity,[status(thm)],[1736, 1734])).
% 1.49/1.31 tff(1738,plain,
% 1.49/1.31 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.49/1.31 inference(quant_inst,[status(thm)],[])).
% 1.49/1.31 tff(1739,plain,
% 1.49/1.31 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv3(Y) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)) | (~ssPv2(V)))) | (~ssPv2(skf1(skf1(skf1(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(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))))))))),
% 1.49/1.31 inference(modus_ponens,[status(thm)],[1738, 1737])).
% 1.49/1.31 tff(1740,plain,
% 1.49/1.31 ((~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.31 inference(unit_resolution,[status(thm)],[1739, 698, 611, 1017])).
% 1.49/1.31 tff(1741,plain,
% 1.49/1.31 (ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.31 inference(unit_resolution,[status(thm)],[1740, 1719, 1620, 1733])).
% 1.49/1.31 tff(1742,plain,
% 1.49/1.31 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.31 inference(rewrite,[status(thm)],[])).
% 1.49/1.31 tff(1743,plain,
% 1.49/1.31 (((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.32 inference(rewrite,[status(thm)],[])).
% 1.49/1.32 tff(1744,plain,
% 1.49/1.32 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.49/1.32 inference(monotonicity,[status(thm)],[1743])).
% 1.49/1.32 tff(1745,plain,
% 1.49/1.32 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.32 inference(transitivity,[status(thm)],[1744, 1742])).
% 1.49/1.32 tff(1746,plain,
% 1.49/1.32 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.49/1.32 inference(quant_inst,[status(thm)],[])).
% 1.49/1.32 tff(1747,plain,
% 1.49/1.32 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | (~ssRr(skf1(skf1(skf1(skf1(skf1(elem!0))))), skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.32 inference(modus_ponens,[status(thm)],[1746, 1745])).
% 1.49/1.32 tff(1748,plain,
% 1.49/1.32 (ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))) | ssPv4(skf1(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[1747, 734, 611, 1017])).
% 1.49/1.32 tff(1749,plain,
% 1.49/1.32 ($false),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[1748, 1741, 1727, 1710, 1702])).
% 1.49/1.32 tff(1750,plain,(ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.32 tff(1751,plain,
% 1.49/1.32 (ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[1750, 1])).
% 1.49/1.32 tff(1752,plain,
% 1.49/1.32 ($false),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[603, 1321, 440, 1, 1751])).
% 1.49/1.32 tff(1753,plain,(ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.32 tff(1754,plain,
% 1.49/1.32 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[1753, 1])).
% 1.49/1.32 tff(1755,plain,
% 1.49/1.32 (~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[555, 1754, 1, 1531])).
% 1.49/1.32 tff(1756,assumption,(~ssPv1(skf1(skf1(skf1(skf1(elem!0)))))), introduced(assumption)).
% 1.49/1.32 tff(1757,plain,
% 1.49/1.32 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : refl((ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) <=> (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))),
% 1.49/1.32 inference(bind,[status(th)],[])).
% 1.49/1.32 tff(1758,plain,
% 1.49/1.32 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.49/1.32 inference(quant_intro,[status(thm)],[1757])).
% 1.49/1.32 tff(1759,plain,
% 1.49/1.32 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.49/1.32 inference(rewrite,[status(thm)],[])).
% 1.49/1.32 tff(1760,plain,
% 1.49/1.32 (^[W: $i, V: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ssRr(U, V)) | (~ssPv3(V))) <=> ((~ssPv3(V)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> (((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))))), rewrite((((~ssPv3(V)) | (~ssRr(U, V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) <=> ((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> (((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))))), rewrite((((~ssPv3(V)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), (((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) <=> ((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) <=> (((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(X))))), rewrite((((~ssPv3(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssPv3(X))) <=> ((~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))), ((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) <=> ((~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) <=> (((~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))))), rewrite((((~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V))) | (~ssRr(W, Y))) <=> ((~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) <=> ((~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv1(Y)) <=> (((~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv1(Y)))), rewrite((((~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv1(Y)) <=> (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv1(Y)) | ssPv1(W)) <=> ((ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv1(W)))), rewrite(((ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y))) | ssPv1(W)) <=> (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))), (((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv1(Y)) | ssPv1(W)) <=> (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))))),
% 1.49/1.32 inference(bind,[status(th)],[])).
% 1.49/1.32 tff(1761,plain,
% 1.49/1.32 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv1(Y)) | ssPv1(W)) <=> ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.49/1.32 inference(quant_intro,[status(thm)],[1760])).
% 1.49/1.32 tff(1762,axiom,(![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((((((((~ssRr(U, V)) | (~ssPv3(V))) | (~ssRr(W, U))) | (~ssRr(W, X))) | (~ssPv3(X))) | (~ssRr(W, Y))) | ssPv1(Y)) | ssPv1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause20')).
% 1.49/1.32 tff(1763,plain,
% 1.49/1.32 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.49/1.32 inference(modus_ponens,[status(thm)],[1762, 1761])).
% 1.49/1.32 tff(1764,plain,
% 1.49/1.32 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.49/1.32 inference(modus_ponens,[status(thm)],[1763, 1759])).
% 1.49/1.32 tff(1765,plain,(
% 1.49/1.32 ![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.49/1.32 inference(skolemize,[status(sab)],[1764])).
% 1.49/1.32 tff(1766,plain,
% 1.49/1.32 (![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))),
% 1.49/1.32 inference(modus_ponens,[status(thm)],[1765, 1758])).
% 1.49/1.32 tff(1767,plain,
% 1.49/1.32 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.32 inference(rewrite,[status(thm)],[])).
% 1.49/1.32 tff(1768,plain,
% 1.49/1.32 ((ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.32 inference(rewrite,[status(thm)],[])).
% 1.49/1.32 tff(1769,plain,
% 1.49/1.32 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))))),
% 1.49/1.32 inference(monotonicity,[status(thm)],[1768])).
% 1.49/1.32 tff(1770,plain,
% 1.49/1.32 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(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(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.32 inference(transitivity,[status(thm)],[1769, 1767])).
% 1.49/1.32 tff(1771,plain,
% 1.49/1.32 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.32 inference(quant_inst,[status(thm)],[])).
% 1.49/1.32 tff(1772,plain,
% 1.49/1.32 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.32 inference(modus_ponens,[status(thm)],[1771, 1770])).
% 1.49/1.32 tff(1773,plain,
% 1.49/1.32 (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[1772, 1766, 442, 611])).
% 1.49/1.32 tff(1774,plain,
% 1.49/1.32 (~ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[1773, 57, 1756, 1470])).
% 1.49/1.32 tff(1775,plain,
% 1.49/1.32 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0)))))))),
% 1.49/1.32 inference(rewrite,[status(thm)],[])).
% 1.49/1.32 tff(1776,plain,
% 1.49/1.32 ((ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0)))))))) <=> (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0)))))))),
% 1.49/1.32 inference(rewrite,[status(thm)],[])).
% 1.49/1.32 tff(1777,plain,
% 1.49/1.32 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0))))))))),
% 1.49/1.32 inference(monotonicity,[status(thm)],[1776])).
% 1.49/1.32 tff(1778,plain,
% 1.49/1.32 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | 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(elem!0)))))))),
% 1.49/1.32 inference(transitivity,[status(thm)],[1777, 1775])).
% 1.49/1.32 tff(1779,plain,
% 1.49/1.32 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.49/1.32 inference(quant_inst,[status(thm)],[])).
% 1.49/1.32 tff(1780,plain,
% 1.49/1.32 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | ssPv1(Z) | ssPv3(V) | (~ssRr(X, Y)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(skf1(elem!0)))), skf1(skf1(skf1(skf1(skf1(elem!0))))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.32 inference(modus_ponens,[status(thm)],[1779, 1778])).
% 1.49/1.32 tff(1781,plain,
% 1.49/1.32 (ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[1780, 27, 442, 611])).
% 1.49/1.32 tff(1782,plain,
% 1.49/1.32 (ssPv2(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[1781, 1774, 1756, 1322])).
% 1.49/1.32 tff(1783,plain,
% 1.49/1.32 ($false),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[705, 1782, 1774, 1469, 57])).
% 1.49/1.32 tff(1784,plain,(ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.32 tff(1785,plain,
% 1.49/1.32 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[1784, 1322, 1755, 1751, 1754])).
% 1.49/1.32 tff(1786,plain,
% 1.49/1.32 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[1439, 1322, 1313, 1751])).
% 1.49/1.32 tff(1787,plain,
% 1.49/1.32 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[1377, 520, 1313, 1756])).
% 1.49/1.32 tff(1788,plain,
% 1.49/1.32 ($false),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[1673, 1787, 520, 891, 1467])).
% 1.49/1.32 tff(1789,plain,(ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.32 tff(1790,plain,
% 1.49/1.32 (ssPv4(skf1(skf1(elem!0)))),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[1789, 1786, 1785, 1755])).
% 1.49/1.32 tff(1791,plain,
% 1.49/1.32 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.32 inference(rewrite,[status(thm)],[])).
% 1.49/1.32 tff(1792,plain,
% 1.49/1.32 (((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.32 inference(rewrite,[status(thm)],[])).
% 1.49/1.32 tff(1793,plain,
% 1.49/1.32 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.32 inference(monotonicity,[status(thm)],[1792])).
% 1.49/1.32 tff(1794,plain,
% 1.49/1.32 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.32 inference(transitivity,[status(thm)],[1793, 1791])).
% 1.49/1.32 tff(1795,plain,
% 1.49/1.32 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.49/1.32 inference(quant_inst,[status(thm)],[])).
% 1.49/1.32 tff(1796,plain,
% 1.49/1.32 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.32 inference(modus_ponens,[status(thm)],[1795, 1794])).
% 1.49/1.32 tff(1797,plain,
% 1.49/1.32 ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(elem!0)) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[1796, 786, 15, 37])).
% 1.49/1.32 tff(1798,plain,
% 1.49/1.32 (ssPv2(skf1(elem!0))),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[1797, 1790, 1313, 1785])).
% 1.49/1.32 tff(1799,plain,
% 1.49/1.32 (ssPv1(skf1(elem!0))),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[1404, 1798, 1751, 1])).
% 1.49/1.32 tff(1800,plain,
% 1.49/1.32 (ssPv4(skf1(elem!0))),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[398, 1799, 1, 1751])).
% 1.49/1.32 tff(1801,plain,
% 1.49/1.32 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(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] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.49/1.32 inference(rewrite,[status(thm)],[])).
% 1.49/1.32 tff(1802,plain,
% 1.49/1.32 ((ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.49/1.32 inference(rewrite,[status(thm)],[])).
% 1.49/1.32 tff(1803,plain,
% 1.49/1.32 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.32 inference(monotonicity,[status(thm)],[1802])).
% 1.49/1.32 tff(1804,plain,
% 1.49/1.32 (((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.49/1.32 inference(transitivity,[status(thm)],[1803, 1801])).
% 1.49/1.32 tff(1805,plain,
% 1.49/1.32 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (ssPv3(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.32 inference(quant_inst,[status(thm)],[])).
% 1.49/1.32 tff(1806,plain,
% 1.49/1.32 ((~![W: $i, V: $i, U: $i, X: $i] : (ssPv3(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv1(X)) | (~ssPv4(W)) | (~ssPv2(V)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.49/1.32 inference(modus_ponens,[status(thm)],[1805, 1804])).
% 1.49/1.32 tff(1807,plain,
% 1.49/1.32 ((~ssPv1(skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv4(skf1(elem!0))) | (~ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[1806, 1271, 15, 37])).
% 1.49/1.32 tff(1808,plain,
% 1.49/1.32 (ssPv3(skf1(elem!0))),
% 1.49/1.32 inference(unit_resolution,[status(thm)],[1807, 1800, 1531, 1751])).
% 1.49/1.32 tff(1809,plain,
% 1.49/1.32 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv2(elem!0) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv2(elem!0) | (~ssPv4(skf1(elem!0))))),
% 1.49/1.32 inference(rewrite,[status(thm)],[])).
% 1.49/1.32 tff(1810,plain,
% 1.49/1.32 (((~ssPv4(skf1(elem!0))) | (~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)))) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(elem!0) | (~ssPv3(skf1(elem!0)))) <=> ((~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv2(elem!0) | (~ssPv4(skf1(elem!0))))),
% 1.49/1.32 inference(rewrite,[status(thm)],[])).
% 1.49/1.32 tff(1811,plain,
% 1.49/1.32 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(skf1(elem!0))) | (~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)))) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(elem!0) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv2(elem!0) | (~ssPv4(skf1(elem!0)))))),
% 1.49/1.32 inference(monotonicity,[status(thm)],[1810])).
% 1.49/1.32 tff(1812,plain,
% 1.49/1.32 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(skf1(elem!0))) | (~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)))) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(elem!0) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv2(elem!0) | (~ssPv4(skf1(elem!0))))),
% 1.49/1.33 inference(transitivity,[status(thm)],[1811, 1809])).
% 1.49/1.33 tff(1813,plain,
% 1.49/1.33 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv4(skf1(elem!0))) | (~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)))) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(elem!0) | (~ssPv3(skf1(elem!0))))),
% 1.49/1.33 inference(quant_inst,[status(thm)],[])).
% 1.49/1.33 tff(1814,plain,
% 1.49/1.33 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv4(X)) | (~ssPv4(V)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv2(elem!0) | (~ssPv4(skf1(elem!0)))),
% 1.49/1.33 inference(modus_ponens,[status(thm)],[1813, 1812])).
% 1.49/1.33 tff(1815,plain,
% 1.49/1.33 ((~ssPv4(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv2(elem!0) | (~ssPv4(skf1(elem!0)))),
% 1.49/1.33 inference(unit_resolution,[status(thm)],[1814, 760, 17, 15])).
% 1.49/1.33 tff(1816,plain,
% 1.49/1.33 (ssPv2(elem!0)),
% 1.49/1.33 inference(unit_resolution,[status(thm)],[1815, 1808, 1800, 1790])).
% 1.49/1.33 tff(1817,plain,
% 1.49/1.33 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv2(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv2(elem!0)))),
% 1.49/1.33 inference(rewrite,[status(thm)],[])).
% 1.49/1.33 tff(1818,plain,
% 1.49/1.33 ((ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv2(elem!0)))),
% 1.49/1.33 inference(rewrite,[status(thm)],[])).
% 1.49/1.33 tff(1819,plain,
% 1.49/1.33 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv2(elem!0))))),
% 1.49/1.33 inference(monotonicity,[status(thm)],[1818])).
% 1.49/1.33 tff(1820,plain,
% 1.49/1.33 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv2(elem!0)))),
% 1.49/1.33 inference(transitivity,[status(thm)],[1819, 1817])).
% 1.49/1.33 tff(1821,plain,
% 1.49/1.33 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv2(elem!0)))),
% 1.49/1.33 inference(quant_inst,[status(thm)],[])).
% 1.49/1.33 tff(1822,plain,
% 1.49/1.33 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv2(elem!0))),
% 1.49/1.33 inference(modus_ponens,[status(thm)],[1821, 1820])).
% 1.49/1.33 tff(1823,plain,
% 1.49/1.33 ((~ssPv3(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(elem!0))) | (~ssPv2(elem!0))),
% 1.49/1.33 inference(unit_resolution,[status(thm)],[1822, 932, 17, 15])).
% 1.49/1.33 tff(1824,plain,
% 1.49/1.33 (ssPv2(skf1(skf1(elem!0)))),
% 1.49/1.33 inference(unit_resolution,[status(thm)],[1823, 1816, 1313, 1808])).
% 1.49/1.33 tff(1825,plain,
% 1.49/1.33 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(elem!0))))),
% 1.49/1.33 inference(rewrite,[status(thm)],[])).
% 1.49/1.33 tff(1826,plain,
% 1.49/1.33 (((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0)))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(elem!0))))),
% 1.49/1.33 inference(rewrite,[status(thm)],[])).
% 1.49/1.33 tff(1827,plain,
% 1.49/1.33 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(elem!0)))))),
% 1.49/1.33 inference(monotonicity,[status(thm)],[1826])).
% 1.49/1.33 tff(1828,plain,
% 1.49/1.33 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(elem!0))))),
% 1.49/1.33 inference(transitivity,[status(thm)],[1827, 1825])).
% 1.49/1.33 tff(1829,plain,
% 1.49/1.33 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv3(skf1(elem!0))))),
% 1.49/1.33 inference(quant_inst,[status(thm)],[])).
% 1.49/1.33 tff(1830,plain,
% 1.49/1.33 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(elem!0)))),
% 1.49/1.33 inference(modus_ponens,[status(thm)],[1829, 1828])).
% 1.49/1.33 tff(1831,plain,
% 1.49/1.33 ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv1(elem!0)) | (~ssPv3(skf1(elem!0))) | (~ssPv4(skf1(elem!0)))),
% 1.49/1.33 inference(unit_resolution,[status(thm)],[1830, 509, 17, 15])).
% 1.49/1.33 tff(1832,plain,
% 1.49/1.33 (~ssPv1(elem!0)),
% 1.49/1.33 inference(unit_resolution,[status(thm)],[1831, 1808, 1313, 1800])).
% 1.49/1.33 tff(1833,plain,
% 1.49/1.33 (~ssPv3(elem!0)),
% 1.49/1.33 inference(unit_resolution,[status(thm)],[1564, 1832, 1798, 1790])).
% 1.49/1.33 tff(1834,plain,
% 1.49/1.33 ($false),
% 1.49/1.33 inference(unit_resolution,[status(thm)],[1572, 1833, 1832, 1313, 1824])).
% 1.49/1.33 tff(1835,plain,(ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.33 tff(1836,plain,
% 1.49/1.33 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.49/1.33 inference(unit_resolution,[status(thm)],[1835, 1])).
% 1.49/1.33 tff(1837,plain,
% 1.49/1.33 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.33 inference(rewrite,[status(thm)],[])).
% 1.49/1.33 tff(1838,plain,
% 1.49/1.33 (((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.33 inference(rewrite,[status(thm)],[])).
% 1.49/1.33 tff(1839,plain,
% 1.49/1.33 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))))),
% 1.49/1.33 inference(monotonicity,[status(thm)],[1838])).
% 1.49/1.33 tff(1840,plain,
% 1.49/1.33 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.49/1.33 inference(transitivity,[status(thm)],[1839, 1837])).
% 1.49/1.33 tff(1841,plain,
% 1.49/1.33 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.49/1.33 inference(quant_inst,[status(thm)],[])).
% 1.49/1.33 tff(1842,plain,
% 1.49/1.33 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | (~ssPv2(Y)) | (~ssRr(X, Y)) | (~ssPv4(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.33 inference(modus_ponens,[status(thm)],[1841, 1840])).
% 1.49/1.33 tff(1843,plain,
% 1.49/1.33 ((~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv2(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.49/1.33 inference(unit_resolution,[status(thm)],[1842, 716, 15, 37])).
% 1.49/1.33 tff(1844,plain,
% 1.49/1.33 (ssPv4(skf1(elem!0))),
% 1.49/1.33 inference(unit_resolution,[status(thm)],[1843, 1836, 1531, 1751])).
% 1.49/1.33 tff(1845,plain,
% 1.49/1.33 (ssPv3(skf1(elem!0))),
% 1.49/1.33 inference(unit_resolution,[status(thm)],[1807, 1844, 1531, 1751])).
% 1.49/1.33 tff(1846,plain,
% 1.49/1.33 (~ssPv1(elem!0)),
% 1.49/1.33 inference(unit_resolution,[status(thm)],[1831, 1845, 1313, 1844])).
% 1.49/1.33 tff(1847,plain,
% 1.49/1.33 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv2(elem!0) | (~ssPv4(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv2(elem!0) | (~ssPv4(skf1(elem!0))))),
% 1.49/1.33 inference(rewrite,[status(thm)],[])).
% 1.49/1.33 tff(1848,plain,
% 1.49/1.33 (((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(elem!0) | (~ssPv3(skf1(elem!0)))) <=> ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv2(elem!0) | (~ssPv4(skf1(elem!0))))),
% 1.49/1.33 inference(rewrite,[status(thm)],[])).
% 1.49/1.33 tff(1849,plain,
% 1.49/1.33 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(elem!0) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv2(elem!0) | (~ssPv4(skf1(elem!0)))))),
% 1.49/1.33 inference(monotonicity,[status(thm)],[1848])).
% 1.49/1.33 tff(1850,plain,
% 1.49/1.33 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(elem!0) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv2(elem!0) | (~ssPv4(skf1(elem!0))))),
% 1.49/1.33 inference(transitivity,[status(thm)],[1849, 1847])).
% 1.49/1.33 tff(1851,plain,
% 1.49/1.33 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv4(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | ssPv2(elem!0) | (~ssPv3(skf1(elem!0))))),
% 1.49/1.33 inference(quant_inst,[status(thm)],[])).
% 1.49/1.33 tff(1852,plain,
% 1.49/1.33 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(V)) | (~ssPv4(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | ssPv2(W) | (~ssPv3(Y)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv2(elem!0) | (~ssPv4(skf1(elem!0)))),
% 1.49/1.33 inference(modus_ponens,[status(thm)],[1851, 1850])).
% 1.49/1.33 tff(1853,plain,
% 1.49/1.33 ((~ssPv1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv2(elem!0) | (~ssPv4(skf1(elem!0)))),
% 1.49/1.33 inference(unit_resolution,[status(thm)],[1852, 786, 17, 15])).
% 1.49/1.33 tff(1854,plain,
% 1.49/1.33 (ssPv2(elem!0)),
% 1.49/1.33 inference(unit_resolution,[status(thm)],[1853, 1845, 1531, 1844])).
% 1.49/1.33 tff(1855,plain,
% 1.49/1.33 (ssPv2(skf1(skf1(elem!0)))),
% 1.49/1.33 inference(unit_resolution,[status(thm)],[1823, 1854, 1313, 1845])).
% 1.49/1.33 tff(1856,plain,
% 1.49/1.33 (ssPv3(elem!0)),
% 1.49/1.33 inference(unit_resolution,[status(thm)],[1572, 1846, 1313, 1855])).
% 1.49/1.33 tff(1857,assumption,(ssPv3(elem!0)), introduced(assumption)).
% 1.49/1.33 tff(1858,plain,
% 1.49/1.33 (ssPv2(skf1(elem!0))),
% 1.49/1.33 inference(unit_resolution,[status(thm)],[1412, 586, 1313, 1466])).
% 1.49/1.33 tff(1859,plain,
% 1.49/1.33 ($false),
% 1.49/1.33 inference(unit_resolution,[status(thm)],[1564, 1858, 586, 263, 1857])).
% 1.49/1.33 tff(1860,plain,((~ssPv4(skf1(skf1(elem!0)))) | ssPv1(elem!0) | (~ssPv3(elem!0)) | (~ssPv4(skf1(skf1(skf1(elem!0)))))), inference(lemma,lemma(discharge,[]))).
% 1.49/1.33 tff(1861,plain,
% 1.58/1.33 (~ssPv4(skf1(skf1(elem!0)))),
% 1.58/1.33 inference(unit_resolution,[status(thm)],[1860, 1846, 1856, 1836])).
% 1.58/1.33 tff(1862,plain,
% 1.58/1.33 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))),
% 1.58/1.33 inference(rewrite,[status(thm)],[])).
% 1.58/1.33 tff(1863,plain,
% 1.58/1.33 ((ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0)))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))),
% 1.58/1.33 inference(rewrite,[status(thm)],[])).
% 1.58/1.33 tff(1864,plain,
% 1.58/1.33 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0)))))),
% 1.58/1.33 inference(monotonicity,[status(thm)],[1863])).
% 1.58/1.33 tff(1865,plain,
% 1.58/1.33 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))))),
% 1.58/1.33 inference(transitivity,[status(thm)],[1864, 1862])).
% 1.58/1.33 tff(1866,plain,
% 1.58/1.33 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(elem!0, skf1(elem!0))))),
% 1.58/1.33 inference(quant_inst,[status(thm)],[])).
% 1.58/1.33 tff(1867,plain,
% 1.58/1.33 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | ssPv1(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0)))),
% 1.58/1.33 inference(modus_ponens,[status(thm)],[1866, 1865])).
% 1.58/1.33 tff(1868,plain,
% 1.58/1.33 ((~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | ssPv1(elem!0) | (~ssPv3(skf1(elem!0)))),
% 1.58/1.33 inference(unit_resolution,[status(thm)],[1867, 1766, 17, 15])).
% 1.58/1.33 tff(1869,plain,
% 1.58/1.33 (ssPv1(skf1(elem!0))),
% 1.58/1.33 inference(unit_resolution,[status(thm)],[1868, 1846, 1313, 1845])).
% 1.58/1.33 tff(1870,plain,
% 1.58/1.33 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.58/1.33 inference(rewrite,[status(thm)],[])).
% 1.58/1.33 tff(1871,plain,
% 1.58/1.33 (((~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.58/1.33 inference(rewrite,[status(thm)],[])).
% 1.58/1.33 tff(1872,plain,
% 1.58/1.33 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))))),
% 1.58/1.33 inference(monotonicity,[status(thm)],[1871])).
% 1.58/1.33 tff(1873,plain,
% 1.58/1.33 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.58/1.33 inference(transitivity,[status(thm)],[1872, 1870])).
% 1.58/1.33 tff(1874,plain,
% 1.58/1.33 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(elem!0))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(elem!0) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.58/1.33 inference(quant_inst,[status(thm)],[])).
% 1.58/1.33 tff(1875,plain,
% 1.58/1.33 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv4(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(elem!0, skf1(elem!0))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))),
% 1.58/1.33 inference(modus_ponens,[status(thm)],[1874, 1873])).
% 1.58/1.33 tff(1876,plain,
% 1.58/1.34 ((~ssPv3(skf1(skf1(elem!0)))) | ssPv4(elem!0) | ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(elem!0)))),
% 1.58/1.34 inference(unit_resolution,[status(thm)],[1875, 734, 17, 15])).
% 1.58/1.34 tff(1877,plain,
% 1.58/1.34 (ssPv4(elem!0)),
% 1.58/1.34 inference(unit_resolution,[status(thm)],[1876, 1861, 1313, 1869])).
% 1.58/1.34 tff(1878,plain,
% 1.58/1.34 ($false),
% 1.58/1.34 inference(unit_resolution,[status(thm)],[280, 1877, 1861, 1845, 1846])).
% 1.58/1.34 tff(1879,plain,(ssPv3(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.58/1.34 tff(1880,plain,
% 1.58/1.34 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.34 inference(rewrite,[status(thm)],[])).
% 1.58/1.34 tff(1881,plain,
% 1.58/1.34 ((ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(elem!0)))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.34 inference(rewrite,[status(thm)],[])).
% 1.58/1.34 tff(1882,plain,
% 1.58/1.34 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.58/1.34 inference(monotonicity,[status(thm)],[1881])).
% 1.58/1.34 tff(1883,plain,
% 1.58/1.34 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(elem!0))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.34 inference(transitivity,[status(thm)],[1882, 1880])).
% 1.58/1.34 tff(1884,plain,
% 1.58/1.34 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv2(skf1(elem!0))))),
% 1.58/1.34 inference(quant_inst,[status(thm)],[])).
% 1.58/1.34 tff(1885,plain,
% 1.58/1.34 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Y) | (~ssPv3(Z)) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv2(W)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.58/1.34 inference(modus_ponens,[status(thm)],[1884, 1883])).
% 1.58/1.34 tff(1886,plain,
% 1.58/1.34 ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv2(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.58/1.34 inference(unit_resolution,[status(thm)],[1885, 932, 15, 37])).
% 1.58/1.34 tff(1887,plain,
% 1.58/1.34 (~ssPv2(skf1(elem!0))),
% 1.58/1.34 inference(unit_resolution,[status(thm)],[1886, 2, 1313, 1879])).
% 1.58/1.34 tff(1888,plain,
% 1.58/1.34 (ssPv4(skf1(elem!0))),
% 1.58/1.34 inference(unit_resolution,[status(thm)],[1547, 1887, 1313, 2])).
% 1.58/1.34 tff(1889,plain,
% 1.58/1.34 (ssPv1(skf1(elem!0))),
% 1.58/1.34 inference(unit_resolution,[status(thm)],[1332, 1322, 1313, 1888])).
% 1.58/1.34 tff(1890,plain,
% 1.58/1.34 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.58/1.34 inference(rewrite,[status(thm)],[])).
% 1.58/1.34 tff(1891,plain,
% 1.58/1.34 (((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.58/1.34 inference(rewrite,[status(thm)],[])).
% 1.58/1.34 tff(1892,plain,
% 1.58/1.34 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.58/1.34 inference(monotonicity,[status(thm)],[1891])).
% 1.58/1.34 tff(1893,plain,
% 1.58/1.34 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.58/1.34 inference(transitivity,[status(thm)],[1892, 1890])).
% 1.58/1.34 tff(1894,plain,
% 1.58/1.34 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | ((~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(elem!0)))))),
% 1.58/1.34 inference(quant_inst,[status(thm)],[])).
% 1.58/1.34 tff(1895,plain,
% 1.58/1.34 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : ((~ssPv3(V)) | (~ssPv4(X)) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)) | (~ssPv3(Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.58/1.34 inference(modus_ponens,[status(thm)],[1894, 1893])).
% 1.58/1.34 tff(1896,plain,
% 1.58/1.34 ((~ssPv3(skf1(skf1(elem!0)))) | (~ssPv4(skf1(skf1(elem!0)))) | (~ssPv1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.34 inference(unit_resolution,[status(thm)],[1895, 509, 15, 37])).
% 1.58/1.34 tff(1897,plain,
% 1.58/1.34 (~ssPv4(skf1(skf1(elem!0)))),
% 1.58/1.34 inference(unit_resolution,[status(thm)],[1896, 1889, 1313, 1879])).
% 1.58/1.34 tff(1898,plain,
% 1.58/1.34 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.34 inference(unit_resolution,[status(thm)],[955, 1897, 1879, 2])).
% 1.58/1.34 tff(1899,plain,
% 1.58/1.34 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.34 inference(rewrite,[status(thm)],[])).
% 1.58/1.34 tff(1900,plain,
% 1.58/1.34 ((ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0))) <=> (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.34 inference(rewrite,[status(thm)],[])).
% 1.58/1.34 tff(1901,plain,
% 1.58/1.34 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.58/1.34 inference(monotonicity,[status(thm)],[1900])).
% 1.58/1.34 tff(1902,plain,
% 1.58/1.34 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.34 inference(transitivity,[status(thm)],[1901, 1899])).
% 1.58/1.34 tff(1903,plain,
% 1.58/1.34 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | (ssPv2(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(elem!0)))),
% 1.58/1.34 inference(quant_inst,[status(thm)],[])).
% 1.58/1.34 tff(1904,plain,
% 1.58/1.34 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (ssPv2(Z) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | ssPv2(W))) | ssPv2(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.58/1.34 inference(modus_ponens,[status(thm)],[1903, 1902])).
% 1.58/1.34 tff(1905,plain,
% 1.58/1.34 (ssPv2(skf1(elem!0)) | ssPv2(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.58/1.34 inference(unit_resolution,[status(thm)],[1904, 1007, 15, 37])).
% 1.58/1.34 tff(1906,plain,
% 1.58/1.34 (ssPv2(skf1(skf1(elem!0)))),
% 1.58/1.34 inference(unit_resolution,[status(thm)],[1905, 1322, 1879, 1887])).
% 1.58/1.34 tff(1907,plain,
% 1.58/1.34 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.34 inference(rewrite,[status(thm)],[])).
% 1.58/1.34 tff(1908,plain,
% 1.58/1.34 ((ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.34 inference(rewrite,[status(thm)],[])).
% 1.58/1.34 tff(1909,plain,
% 1.58/1.34 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))))),
% 1.58/1.34 inference(monotonicity,[status(thm)],[1908])).
% 1.58/1.34 tff(1910,plain,
% 1.58/1.34 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.34 inference(transitivity,[status(thm)],[1909, 1907])).
% 1.58/1.34 tff(1911,plain,
% 1.58/1.34 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | (ssPv2(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.58/1.34 inference(quant_inst,[status(thm)],[])).
% 1.58/1.34 tff(1912,plain,
% 1.58/1.34 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv2(V) | ssPv4(Y) | (~ssPv2(X)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssPv3(W)) | (~ssRr(W, Y)))) | ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.58/1.34 inference(modus_ponens,[status(thm)],[1911, 1910])).
% 1.58/1.34 tff(1913,plain,
% 1.58/1.34 (ssPv4(skf1(skf1(elem!0))) | (~ssPv2(skf1(skf1(elem!0)))) | (~ssPv3(skf1(elem!0))) | ssPv2(skf1(skf1(skf1(elem!0))))),
% 1.58/1.34 inference(unit_resolution,[status(thm)],[1912, 1432, 15, 37])).
% 1.58/1.34 tff(1914,plain,
% 1.58/1.34 (~ssPv3(skf1(elem!0))),
% 1.58/1.34 inference(unit_resolution,[status(thm)],[1913, 1897, 2, 1906])).
% 1.58/1.34 tff(1915,plain,
% 1.58/1.34 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.34 inference(rewrite,[status(thm)],[])).
% 1.58/1.34 tff(1916,plain,
% 1.58/1.34 ((ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.34 inference(rewrite,[status(thm)],[])).
% 1.58/1.34 tff(1917,plain,
% 1.58/1.34 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))))),
% 1.58/1.34 inference(monotonicity,[status(thm)],[1916])).
% 1.58/1.34 tff(1918,plain,
% 1.58/1.34 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.34 inference(transitivity,[status(thm)],[1917, 1915])).
% 1.58/1.34 tff(1919,plain,
% 1.58/1.34 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv3(skf1(elem!0)) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.58/1.34 inference(quant_inst,[status(thm)],[])).
% 1.58/1.34 tff(1920,plain,
% 1.58/1.34 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | ssPv3(W) | (~ssPv1(W)) | (~ssRr(W, X)) | (~ssRr(X, Y)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(elem!0))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv3(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.58/1.34 inference(modus_ponens,[status(thm)],[1919, 1918])).
% 1.58/1.34 tff(1921,plain,
% 1.58/1.34 ((~ssPv1(skf1(elem!0))) | ssPv3(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.58/1.34 inference(unit_resolution,[status(thm)],[1920, 540, 15, 37])).
% 1.58/1.34 tff(1922,plain,
% 1.58/1.34 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.58/1.34 inference(unit_resolution,[status(thm)],[1921, 1914, 1889, 1879])).
% 1.58/1.34 tff(1923,plain,
% 1.58/1.34 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.34 inference(unit_resolution,[status(thm)],[1673, 1922, 1897, 1898])).
% 1.58/1.34 tff(1924,plain,
% 1.58/1.34 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.58/1.34 inference(rewrite,[status(thm)],[])).
% 1.58/1.34 tff(1925,plain,
% 1.58/1.34 (((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))) <=> (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.58/1.34 inference(rewrite,[status(thm)],[])).
% 1.58/1.34 tff(1926,plain,
% 1.58/1.34 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.58/1.34 inference(monotonicity,[status(thm)],[1925])).
% 1.58/1.34 tff(1927,plain,
% 1.58/1.34 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.58/1.35 inference(transitivity,[status(thm)],[1926, 1924])).
% 1.58/1.35 tff(1928,plain,
% 1.58/1.35 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.58/1.35 inference(quant_inst,[status(thm)],[])).
% 1.58/1.35 tff(1929,plain,
% 1.58/1.35 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ssPv4(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.58/1.35 inference(modus_ponens,[status(thm)],[1928, 1927])).
% 1.58/1.35 tff(1930,plain,
% 1.58/1.35 (ssPv4(skf1(skf1(elem!0))) | (~ssPv1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1929, 734, 37, 442])).
% 1.58/1.35 tff(1931,plain,
% 1.58/1.35 (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1930, 1923, 1897, 1922])).
% 1.58/1.35 tff(1932,plain,
% 1.58/1.35 (~ssPv1(skf1(skf1(elem!0)))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[527, 1931, 1897, 1898])).
% 1.58/1.35 tff(1933,plain,
% 1.58/1.35 ($false),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[916, 1932, 1931, 1906, 1898])).
% 1.58/1.35 tff(1934,plain,(ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv2(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.58/1.35 tff(1935,plain,
% 1.58/1.35 (ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1934, 2])).
% 1.58/1.35 tff(1936,plain,
% 1.58/1.35 (ssPv4(skf1(skf1(elem!0)))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1260, 1935, 1879, 1887])).
% 1.58/1.35 tff(1937,plain,
% 1.58/1.35 ($false),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1412, 1936, 1935, 1313, 1887])).
% 1.58/1.35 tff(1938,plain,(ssPv2(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.58/1.35 tff(1939,plain,
% 1.58/1.35 (ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1439, 1322, 1313, 1938])).
% 1.58/1.35 tff(1940,plain,
% 1.58/1.35 (~ssPv1(skf1(skf1(elem!0)))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[527, 440, 520, 1939])).
% 1.58/1.35 tff(1941,plain,
% 1.58/1.35 (~ssPv2(skf1(skf1(elem!0)))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[916, 1940, 440, 1939])).
% 1.58/1.35 tff(1942,plain,
% 1.58/1.35 (ssPv4(skf1(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[646, 440, 1322, 1939])).
% 1.58/1.35 tff(1943,plain,
% 1.58/1.35 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[628, 1942, 1879, 1939])).
% 1.58/1.35 tff(1944,plain,
% 1.58/1.35 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1789, 1943, 520, 1939])).
% 1.58/1.35 tff(1945,plain,
% 1.58/1.35 ($false),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[679, 1944, 1941, 1939, 1322])).
% 1.58/1.35 tff(1946,plain,(ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.58/1.35 tff(1947,plain,
% 1.58/1.35 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1946, 520, 1322])).
% 1.58/1.35 tff(1948,plain,
% 1.58/1.35 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[582, 1947, 520, 1939])).
% 1.58/1.35 tff(1949,plain,
% 1.58/1.35 (ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1930, 1947, 520, 1948])).
% 1.58/1.35 tff(1950,plain,
% 1.58/1.35 ($false),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1673, 1949, 1948, 520, 1939])).
% 1.58/1.35 tff(1951,plain,(ssPv4(skf1(skf1(elem!0))) | ssPv4(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.58/1.35 tff(1952,plain,
% 1.58/1.35 (ssPv4(skf1(skf1(elem!0)))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1951, 1322])).
% 1.58/1.35 tff(1953,plain,
% 1.58/1.35 (~ssPv1(skf1(elem!0))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1896, 1952, 1313, 1879])).
% 1.58/1.35 tff(1954,plain,
% 1.58/1.35 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.58/1.35 inference(rewrite,[status(thm)],[])).
% 1.58/1.35 tff(1955,plain,
% 1.58/1.35 ((ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0))))) <=> ((~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.58/1.35 inference(rewrite,[status(thm)],[])).
% 1.58/1.35 tff(1956,plain,
% 1.58/1.35 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ((~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))))),
% 1.58/1.35 inference(monotonicity,[status(thm)],[1955])).
% 1.58/1.35 tff(1957,plain,
% 1.58/1.35 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.58/1.35 inference(transitivity,[status(thm)],[1956, 1954])).
% 1.58/1.35 tff(1958,plain,
% 1.58/1.35 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))))),
% 1.58/1.35 inference(quant_inst,[status(thm)],[])).
% 1.58/1.35 tff(1959,plain,
% 1.58/1.35 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))),
% 1.58/1.35 inference(modus_ponens,[status(thm)],[1958, 1957])).
% 1.58/1.35 tff(1960,plain,
% 1.58/1.35 ((~ssPv3(skf1(skf1(elem!0)))) | ssPv1(skf1(skf1(elem!0))) | ssPv1(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1959, 1766, 15, 37])).
% 1.58/1.35 tff(1961,plain,
% 1.58/1.35 (ssPv1(skf1(skf1(elem!0)))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1960, 1953, 1313, 1879])).
% 1.58/1.35 tff(1962,plain,
% 1.58/1.35 (~ssPv4(skf1(elem!0))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1332, 1953, 1313, 1322])).
% 1.58/1.35 tff(1963,plain,
% 1.58/1.35 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.35 inference(rewrite,[status(thm)],[])).
% 1.58/1.35 tff(1964,plain,
% 1.58/1.35 (((~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.35 inference(rewrite,[status(thm)],[])).
% 1.58/1.35 tff(1965,plain,
% 1.58/1.35 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0))))))),
% 1.58/1.35 inference(monotonicity,[status(thm)],[1964])).
% 1.58/1.35 tff(1966,plain,
% 1.58/1.35 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.35 inference(transitivity,[status(thm)],[1965, 1963])).
% 1.58/1.35 tff(1967,plain,
% 1.58/1.35 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | ((~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(elem!0)) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.58/1.35 inference(quant_inst,[status(thm)],[])).
% 1.58/1.35 tff(1968,plain,
% 1.58/1.35 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((~ssPv1(Z)) | ssPv4(Y) | (~ssRr(X, Y)) | (~ssPv3(V)) | ssPv4(W) | (~ssRr(W, Z)) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)))) | (~ssPv1(skf1(skf1(elem!0)))) | (~ssRr(skf1(elem!0), skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.58/1.35 inference(modus_ponens,[status(thm)],[1967, 1966])).
% 1.58/1.35 tff(1969,plain,
% 1.58/1.35 ((~ssPv1(skf1(skf1(elem!0)))) | ssPv4(skf1(elem!0)) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(skf1(elem!0))))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1968, 734, 15, 37])).
% 1.58/1.35 tff(1970,plain,
% 1.58/1.35 ($false),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1969, 1962, 1961, 1879, 1322])).
% 1.58/1.35 tff(1971,plain,(ssPv4(skf1(skf1(skf1(elem!0))))), inference(lemma,lemma(discharge,[]))).
% 1.58/1.35 tff(1972,plain,
% 1.58/1.35 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1388, 203, 1313, 1938])).
% 1.58/1.35 tff(1973,plain,
% 1.58/1.35 (ssPv1(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1377, 1972, 1313, 520])).
% 1.58/1.35 tff(1974,plain,
% 1.58/1.35 (ssPv2(skf1(skf1(elem!0)))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[793, 1973, 1971, 1879])).
% 1.58/1.35 tff(1975,plain,
% 1.58/1.35 (~ssPv2(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[916, 1974, 440, 203])).
% 1.58/1.35 tff(1976,plain,
% 1.58/1.35 ($false),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1456, 1975, 1974, 1313, 1972])).
% 1.58/1.35 tff(1977,plain,(ssPv1(skf1(skf1(elem!0))) | ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.58/1.35 tff(1978,plain,
% 1.58/1.35 (ssPv1(skf1(skf1(elem!0)))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1977, 440, 520])).
% 1.58/1.35 tff(1979,plain,
% 1.58/1.35 (ssPv2(skf1(skf1(elem!0)))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[457, 1978, 440, 1971])).
% 1.58/1.35 tff(1980,plain,
% 1.58/1.35 (ssPv4(skf1(elem!0))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1843, 1978, 1971, 1938])).
% 1.58/1.35 tff(1981,plain,
% 1.58/1.35 (ssPv3(skf1(elem!0))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1807, 1980, 1938, 1978])).
% 1.58/1.35 tff(1982,plain,
% 1.58/1.35 (ssPv1(skf1(elem!0))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1042, 1981, 1971, 1979])).
% 1.58/1.35 tff(1983,plain,
% 1.58/1.35 (~ssPv1(elem!0)),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1831, 1981, 1313, 1980])).
% 1.58/1.35 tff(1984,plain,
% 1.58/1.35 (~ssPv4(elem!0)),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[280, 1983, 520, 1981])).
% 1.58/1.35 tff(1985,plain,
% 1.58/1.35 ($false),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1876, 1984, 1982, 1313, 520])).
% 1.58/1.35 tff(1986,plain,(ssPv3(skf1(skf1(skf1(skf1(elem!0))))) | ssPv4(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.58/1.35 tff(1987,plain,
% 1.58/1.35 (ssPv3(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[1986, 520])).
% 1.58/1.35 tff(1988,plain,
% 1.58/1.35 (~ssPv1(skf1(skf1(elem!0)))),
% 1.58/1.35 inference(unit_resolution,[status(thm)],[516, 1987, 1879, 1971])).
% 1.58/1.35 tff(1989,plain,
% 1.58/1.35 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.58/1.35 inference(rewrite,[status(thm)],[])).
% 1.58/1.35 tff(1990,plain,
% 1.58/1.35 ((ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0)))))) <=> (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.58/1.35 inference(rewrite,[status(thm)],[])).
% 1.58/1.35 tff(1991,plain,
% 1.58/1.35 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))))),
% 1.58/1.35 inference(monotonicity,[status(thm)],[1990])).
% 1.58/1.35 tff(1992,plain,
% 1.58/1.35 (((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))) <=> ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))))),
% 1.58/1.35 inference(transitivity,[status(thm)],[1991, 1989])).
% 1.58/1.35 tff(1993,plain,
% 1.58/1.35 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | (ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(elem!0))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))))),
% 1.58/1.36 inference(quant_inst,[status(thm)],[])).
% 1.58/1.36 tff(1994,plain,
% 1.58/1.36 ((~![W: $i, V: $i, Y: $i, U: $i, X: $i] : (ssPv1(Y) | (~ssPv3(V)) | (~ssPv3(X)) | ssPv1(W) | (~ssRr(W, X)) | (~ssRr(W, U)) | (~ssRr(U, V)) | (~ssRr(W, Y)))) | ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | (~ssRr(skf1(skf1(elem!0)), skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0)))))) | (~ssRr(skf1(skf1(skf1(elem!0))), skf1(skf1(skf1(skf1(elem!0))))))),
% 1.58/1.36 inference(modus_ponens,[status(thm)],[1993, 1992])).
% 1.58/1.36 tff(1995,plain,
% 1.58/1.36 (ssPv1(skf1(skf1(elem!0))) | (~ssPv3(skf1(skf1(skf1(elem!0))))) | ssPv1(skf1(skf1(skf1(elem!0)))) | (~ssPv3(skf1(skf1(skf1(skf1(elem!0))))))),
% 1.58/1.36 inference(unit_resolution,[status(thm)],[1994, 1766, 37, 442])).
% 1.58/1.36 tff(1996,plain,
% 1.58/1.36 (ssPv1(skf1(skf1(skf1(elem!0))))),
% 1.58/1.36 inference(unit_resolution,[status(thm)],[1995, 1987, 1879, 1988])).
% 1.58/1.36 tff(1997,plain,
% 1.58/1.36 (~ssPv4(skf1(skf1(skf1(skf1(elem!0)))))),
% 1.58/1.36 inference(unit_resolution,[status(thm)],[1388, 1988, 1313, 1938])).
% 1.58/1.36 tff(1998,plain,
% 1.58/1.36 ($false),
% 1.58/1.36 inference(unit_resolution,[status(thm)],[1930, 1997, 1996, 520, 1987])).
% 1.58/1.36 tff(1999,plain,(ssPv4(skf1(skf1(elem!0)))), inference(lemma,lemma(discharge,[]))).
% 1.58/1.36 tff(2000,plain,
% 1.58/1.36 (~ssPv1(skf1(elem!0))),
% 1.58/1.36 inference(unit_resolution,[status(thm)],[1896, 1999, 1313, 1879])).
% 1.58/1.36 tff(2001,plain,
% 1.58/1.36 (ssPv1(skf1(skf1(elem!0)))),
% 1.58/1.36 inference(unit_resolution,[status(thm)],[1960, 2000, 1313, 1879])).
% 1.58/1.36 tff(2002,plain,
% 1.58/1.36 (ssPv4(skf1(elem!0))),
% 1.58/1.36 inference(unit_resolution,[status(thm)],[1843, 2001, 1971, 1938])).
% 1.58/1.36 tff(2003,plain,
% 1.58/1.36 (ssPv3(skf1(elem!0))),
% 1.58/1.36 inference(unit_resolution,[status(thm)],[947, 2000, 1879, 1938])).
% 1.58/1.36 tff(2004,plain,
% 1.58/1.36 (ssPv1(elem!0)),
% 1.58/1.36 inference(unit_resolution,[status(thm)],[1868, 2000, 1313, 2003])).
% 1.58/1.36 tff(2005,plain,
% 1.58/1.36 ($false),
% 1.58/1.36 inference(unit_resolution,[status(thm)],[1831, 2004, 2003, 1313, 2002])).
% 1.58/1.36 % SZS output end Proof
%------------------------------------------------------------------------------