TSTP Solution File: SWV039+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV039+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n012.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 15:09:44 EDT 2022
% Result : Theorem 0.53s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV039+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Sep 4 01:08:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.53/0.58 % SZS status Theorem
% 0.53/0.58 % SZS output start Proof
% 0.53/0.58 tff(leq_type, type, (
% 0.53/0.58 leq: ( $i * $i ) > $o)).
% 0.53/0.58 tff(succ_type, type, (
% 0.53/0.58 succ: $i > $i)).
% 0.53/0.58 tff(tptp_minus_1_type, type, (
% 0.53/0.58 tptp_minus_1: $i)).
% 0.53/0.58 tff(init_type, type, (
% 0.53/0.58 init: $i)).
% 0.53/0.58 tff(a_select3_type, type, (
% 0.53/0.58 a_select3: ( $i * $i * $i ) > $i)).
% 0.53/0.58 tff(tptp_fun_E_13_type, type, (
% 0.53/0.58 tptp_fun_E_13: $i)).
% 0.53/0.58 tff(simplex7_init_type, type, (
% 0.53/0.58 simplex7_init: $i)).
% 0.53/0.58 tff(tptp_fun_F_14_type, type, (
% 0.53/0.58 tptp_fun_F_14: $i)).
% 0.53/0.58 tff(tptp_fun_G_15_type, type, (
% 0.53/0.58 tptp_fun_G_15: $i)).
% 0.53/0.58 tff(a_select2_type, type, (
% 0.53/0.58 a_select2: ( $i * $i ) > $i)).
% 0.53/0.58 tff(s_values7_init_type, type, (
% 0.53/0.58 s_values7_init: $i)).
% 0.53/0.58 tff(n3_type, type, (
% 0.53/0.58 n3: $i)).
% 0.53/0.58 tff(n0_type, type, (
% 0.53/0.58 n0: $i)).
% 0.53/0.58 tff(pvar1402_init_type, type, (
% 0.53/0.58 pvar1402_init: $i)).
% 0.53/0.58 tff(pvar1401_init_type, type, (
% 0.53/0.58 pvar1401_init: $i)).
% 0.53/0.58 tff(pvar1400_init_type, type, (
% 0.53/0.58 pvar1400_init: $i)).
% 0.53/0.58 tff(gt_type, type, (
% 0.53/0.58 gt: ( $i * $i ) > $o)).
% 0.53/0.58 tff(n1_type, type, (
% 0.53/0.58 n1: $i)).
% 0.53/0.58 tff(loopcounter_type, type, (
% 0.53/0.58 loopcounter: $i)).
% 0.53/0.58 tff(s_center7_init_type, type, (
% 0.53/0.58 s_center7_init: $i)).
% 0.53/0.58 tff(n2_type, type, (
% 0.53/0.58 n2: $i)).
% 0.53/0.58 tff(s_worst7_type, type, (
% 0.53/0.58 s_worst7: $i)).
% 0.53/0.58 tff(s_sworst7_type, type, (
% 0.53/0.58 s_sworst7: $i)).
% 0.53/0.58 tff(s_best7_type, type, (
% 0.53/0.58 s_best7: $i)).
% 0.53/0.58 tff(s_worst7_init_type, type, (
% 0.53/0.58 s_worst7_init: $i)).
% 0.53/0.58 tff(s_sworst7_init_type, type, (
% 0.53/0.58 s_sworst7_init: $i)).
% 0.53/0.58 tff(s_best7_init_type, type, (
% 0.53/0.58 s_best7_init: $i)).
% 0.53/0.58 tff(s_try7_init_type, type, (
% 0.53/0.58 s_try7_init: $i)).
% 0.53/0.58 tff(minus_type, type, (
% 0.53/0.58 minus: ( $i * $i ) > $i)).
% 0.53/0.58 tff(tptp_fun_I_17_type, type, (
% 0.53/0.58 tptp_fun_I_17: $i)).
% 0.53/0.58 tff(pred_type, type, (
% 0.53/0.58 pred: $i > $i)).
% 0.53/0.58 tff(tptp_fun_H_16_type, type, (
% 0.53/0.58 tptp_fun_H_16: $i)).
% 0.53/0.58 tff(1,assumption,(~((a_select2(s_values7_init, G!15) = init) | (~leq(succ(tptp_minus_1), G!15)) | (~leq(G!15, succ(succ(succ(succ(tptp_minus_1)))))))), introduced(assumption)).
% 0.53/0.58 tff(2,plain,
% 0.53/0.58 (((a_select2(s_values7_init, G!15) = init) | (~leq(succ(tptp_minus_1), G!15)) | (~leq(G!15, succ(succ(succ(succ(tptp_minus_1))))))) | leq(G!15, succ(succ(succ(succ(tptp_minus_1)))))),
% 0.53/0.58 inference(tautology,[status(thm)],[])).
% 0.53/0.58 tff(3,plain,
% 0.53/0.58 (leq(G!15, succ(succ(succ(succ(tptp_minus_1)))))),
% 0.53/0.58 inference(unit_resolution,[status(thm)],[2, 1])).
% 0.53/0.58 tff(4,plain,
% 0.53/0.58 (((a_select2(s_values7_init, G!15) = init) | (~leq(succ(tptp_minus_1), G!15)) | (~leq(G!15, succ(succ(succ(succ(tptp_minus_1))))))) | leq(succ(tptp_minus_1), G!15)),
% 0.53/0.58 inference(tautology,[status(thm)],[])).
% 0.53/0.58 tff(5,plain,
% 0.53/0.58 (leq(succ(tptp_minus_1), G!15)),
% 0.53/0.58 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.53/0.58 tff(6,plain,
% 0.53/0.58 (((a_select2(s_values7_init, G!15) = init) | (~leq(succ(tptp_minus_1), G!15)) | (~leq(G!15, succ(succ(succ(succ(tptp_minus_1))))))) | (~(a_select2(s_values7_init, G!15) = init))),
% 0.53/0.58 inference(tautology,[status(thm)],[])).
% 0.53/0.58 tff(7,plain,
% 0.53/0.58 (~(a_select2(s_values7_init, G!15) = init)),
% 0.53/0.58 inference(unit_resolution,[status(thm)],[6, 1])).
% 0.53/0.58 tff(8,plain,
% 0.53/0.58 (^[C: $i] : refl(((a_select2(s_values7_init, C) = init) | (~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1))))))) <=> ((a_select2(s_values7_init, C) = init) | (~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.53/0.58 inference(bind,[status(th)],[])).
% 0.53/0.58 tff(9,plain,
% 0.53/0.58 (![C: $i] : ((a_select2(s_values7_init, C) = init) | (~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1))))))) <=> ![C: $i] : ((a_select2(s_values7_init, C) = init) | (~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.53/0.58 inference(quant_intro,[status(thm)],[8])).
% 0.53/0.58 tff(10,plain,
% 0.53/0.58 (^[C: $i] : trans(monotonicity(trans(monotonicity(rewrite((leq(succ(tptp_minus_1), C) & leq(C, succ(succ(succ(succ(tptp_minus_1)))))) <=> (~((~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1))))))))), ((~(leq(succ(tptp_minus_1), C) & leq(C, succ(succ(succ(succ(tptp_minus_1))))))) <=> (~(~((~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1))))))))))), rewrite((~(~((~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1))))))))) <=> ((~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1)))))))), ((~(leq(succ(tptp_minus_1), C) & leq(C, succ(succ(succ(succ(tptp_minus_1))))))) <=> ((~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1))))))))), (((~(leq(succ(tptp_minus_1), C) & leq(C, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, C) = init)) <=> (((~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, C) = init)))), rewrite((((~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, C) = init)) <=> ((a_select2(s_values7_init, C) = init) | (~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1)))))))), (((~(leq(succ(tptp_minus_1), C) & leq(C, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, C) = init)) <=> ((a_select2(s_values7_init, C) = init) | (~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1)))))))))),
% 0.53/0.59 inference(bind,[status(th)],[])).
% 0.53/0.59 tff(11,plain,
% 0.53/0.59 (![C: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(C, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, C) = init)) <=> ![C: $i] : ((a_select2(s_values7_init, C) = init) | (~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.53/0.59 inference(quant_intro,[status(thm)],[10])).
% 0.53/0.59 tff(12,plain,
% 0.53/0.59 (^[C: $i] : rewrite(((~(leq(n0, C) & leq(C, n3))) | (a_select2(s_values7_init, C) = init)) <=> ((~(leq(succ(tptp_minus_1), C) & leq(C, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, C) = init)))),
% 0.53/0.59 inference(bind,[status(th)],[])).
% 0.53/0.59 tff(13,plain,
% 0.53/0.59 (![C: $i] : ((~(leq(n0, C) & leq(C, n3))) | (a_select2(s_values7_init, C) = init)) <=> ![C: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(C, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, C) = init))),
% 0.53/0.59 inference(quant_intro,[status(thm)],[12])).
% 0.53/0.59 tff(14,plain,
% 0.53/0.59 (![C: $i] : ((~(leq(n0, C) & leq(C, n3))) | (a_select2(s_values7_init, C) = init)) <=> ![C: $i] : ((~(leq(n0, C) & leq(C, n3))) | (a_select2(s_values7_init, C) = init))),
% 0.53/0.59 inference(rewrite,[status(thm)],[])).
% 0.53/0.59 tff(15,plain,
% 0.53/0.59 ((~((((((((((((((s_best7_init = init) & (s_sworst7_init = init)) & (s_worst7_init = init)) & leq(n0, s_best7)) & leq(n0, s_sworst7)) & leq(n0, s_worst7)) & leq(s_best7, n3)) & leq(s_sworst7, n3)) & leq(s_worst7, n3)) & ![A: $i] : ((leq(n0, A) & leq(A, n2)) => ![B: $i] : ((leq(n0, B) & leq(B, n3)) => (a_select3(simplex7_init, B, A) = init)))) & ![C: $i] : ((leq(n0, C) & leq(C, n3)) => (a_select2(s_values7_init, C) = init))) & ![D: $i] : ((leq(n0, D) & leq(D, n2)) => (a_select2(s_center7_init, D) = init))) & (gt(loopcounter, n1) => (((pvar1400_init = init) & (pvar1401_init = init)) & (pvar1402_init = init)))) => ((((((((((((((s_best7_init = init) & (s_sworst7_init = init)) & (s_worst7_init = init)) & leq(n0, s_best7)) & leq(n0, s_sworst7)) & leq(n0, s_worst7)) & leq(s_best7, n3)) & leq(s_sworst7, n3)) & leq(s_worst7, n3)) & ![E: $i] : ((leq(n0, E) & leq(E, n2)) => ![F: $i] : ((leq(n0, F) & leq(F, n3)) => (a_select3(simplex7_init, F, E) = init)))) & ![G: $i] : ((leq(n0, G) & leq(G, n3)) => (a_select2(s_values7_init, G) = init))) & ![H: $i] : ((leq(n0, H) & leq(H, n2)) => (a_select2(s_center7_init, H) = init))) & ![I: $i] : ((leq(n0, I) & leq(I, minus(n0, n1))) => (a_select2(s_try7_init, I) = init))) & (gt(loopcounter, n1) => (((pvar1400_init = init) & (pvar1401_init = init)) & (pvar1402_init = init)))))) <=> (~((~((s_best7_init = init) & (s_sworst7_init = init) & (s_worst7_init = init) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & ![A: $i] : ((~(leq(n0, A) & leq(A, n2))) | ![B: $i] : ((~(leq(n0, B) & leq(B, n3))) | (a_select3(simplex7_init, B, A) = init))) & ![C: $i] : ((~(leq(n0, C) & leq(C, n3))) | (a_select2(s_values7_init, C) = init)) & ![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | (a_select2(s_center7_init, D) = init)) & ((~gt(loopcounter, n1)) | ((pvar1400_init = init) & (pvar1401_init = init) & (pvar1402_init = init))))) | ((s_best7_init = init) & (s_sworst7_init = init) & (s_worst7_init = init) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & ![E: $i] : ((~(leq(n0, E) & leq(E, n2))) | ![F: $i] : ((~(leq(n0, F) & leq(F, n3))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(n0, H) & leq(H, n2))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, minus(n0, n1)))) | (a_select2(s_try7_init, I) = init)) & ((~gt(loopcounter, n1)) | ((pvar1400_init = init) & (pvar1401_init = init) & (pvar1402_init = init))))))),
% 0.53/0.59 inference(rewrite,[status(thm)],[])).
% 0.53/0.59 tff(16,axiom,(~((((((((((((((s_best7_init = init) & (s_sworst7_init = init)) & (s_worst7_init = init)) & leq(n0, s_best7)) & leq(n0, s_sworst7)) & leq(n0, s_worst7)) & leq(s_best7, n3)) & leq(s_sworst7, n3)) & leq(s_worst7, n3)) & ![A: $i] : ((leq(n0, A) & leq(A, n2)) => ![B: $i] : ((leq(n0, B) & leq(B, n3)) => (a_select3(simplex7_init, B, A) = init)))) & ![C: $i] : ((leq(n0, C) & leq(C, n3)) => (a_select2(s_values7_init, C) = init))) & ![D: $i] : ((leq(n0, D) & leq(D, n2)) => (a_select2(s_center7_init, D) = init))) & (gt(loopcounter, n1) => (((pvar1400_init = init) & (pvar1401_init = init)) & (pvar1402_init = init)))) => ((((((((((((((s_best7_init = init) & (s_sworst7_init = init)) & (s_worst7_init = init)) & leq(n0, s_best7)) & leq(n0, s_sworst7)) & leq(n0, s_worst7)) & leq(s_best7, n3)) & leq(s_sworst7, n3)) & leq(s_worst7, n3)) & ![E: $i] : ((leq(n0, E) & leq(E, n2)) => ![F: $i] : ((leq(n0, F) & leq(F, n3)) => (a_select3(simplex7_init, F, E) = init)))) & ![G: $i] : ((leq(n0, G) & leq(G, n3)) => (a_select2(s_values7_init, G) = init))) & ![H: $i] : ((leq(n0, H) & leq(H, n2)) => (a_select2(s_center7_init, H) = init))) & ![I: $i] : ((leq(n0, I) & leq(I, minus(n0, n1))) => (a_select2(s_try7_init, I) = init))) & (gt(loopcounter, n1) => (((pvar1400_init = init) & (pvar1401_init = init)) & (pvar1402_init = init)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gauss_init_0069')).
% 0.53/0.59 tff(17,plain,
% 0.53/0.59 (~((~((s_best7_init = init) & (s_sworst7_init = init) & (s_worst7_init = init) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & ![A: $i] : ((~(leq(n0, A) & leq(A, n2))) | ![B: $i] : ((~(leq(n0, B) & leq(B, n3))) | (a_select3(simplex7_init, B, A) = init))) & ![C: $i] : ((~(leq(n0, C) & leq(C, n3))) | (a_select2(s_values7_init, C) = init)) & ![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | (a_select2(s_center7_init, D) = init)) & ((~gt(loopcounter, n1)) | ((pvar1400_init = init) & (pvar1401_init = init) & (pvar1402_init = init))))) | ((s_best7_init = init) & (s_sworst7_init = init) & (s_worst7_init = init) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & ![E: $i] : ((~(leq(n0, E) & leq(E, n2))) | ![F: $i] : ((~(leq(n0, F) & leq(F, n3))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(n0, H) & leq(H, n2))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, minus(n0, n1)))) | (a_select2(s_try7_init, I) = init)) & ((~gt(loopcounter, n1)) | ((pvar1400_init = init) & (pvar1401_init = init) & (pvar1402_init = init)))))),
% 0.53/0.59 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.53/0.59 tff(18,plain,
% 0.53/0.59 ((s_best7_init = init) & (s_sworst7_init = init) & (s_worst7_init = init) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & ![A: $i] : ((~(leq(n0, A) & leq(A, n2))) | ![B: $i] : ((~(leq(n0, B) & leq(B, n3))) | (a_select3(simplex7_init, B, A) = init))) & ![C: $i] : ((~(leq(n0, C) & leq(C, n3))) | (a_select2(s_values7_init, C) = init)) & ![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | (a_select2(s_center7_init, D) = init)) & ((~gt(loopcounter, n1)) | ((pvar1400_init = init) & (pvar1401_init = init) & (pvar1402_init = init)))),
% 0.53/0.60 inference(or_elim,[status(thm)],[17])).
% 0.53/0.60 tff(19,plain,
% 0.53/0.60 (![C: $i] : ((~(leq(n0, C) & leq(C, n3))) | (a_select2(s_values7_init, C) = init))),
% 0.53/0.60 inference(and_elim,[status(thm)],[18])).
% 0.53/0.60 tff(20,plain,
% 0.53/0.60 (![C: $i] : ((~(leq(n0, C) & leq(C, n3))) | (a_select2(s_values7_init, C) = init))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[19, 14])).
% 0.53/0.60 tff(21,plain,
% 0.53/0.60 (![C: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(C, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, C) = init))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[20, 13])).
% 0.53/0.60 tff(22,plain,(
% 0.53/0.60 ![C: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(C, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, C) = init))),
% 0.53/0.60 inference(skolemize,[status(sab)],[21])).
% 0.53/0.60 tff(23,plain,
% 0.53/0.60 (![C: $i] : ((a_select2(s_values7_init, C) = init) | (~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[22, 11])).
% 0.53/0.60 tff(24,plain,
% 0.53/0.60 (![C: $i] : ((a_select2(s_values7_init, C) = init) | (~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[23, 9])).
% 0.53/0.60 tff(25,plain,
% 0.53/0.60 (((~![C: $i] : ((a_select2(s_values7_init, C) = init) | (~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1)))))))) | ((a_select2(s_values7_init, G!15) = init) | (~leq(succ(tptp_minus_1), G!15)) | (~leq(G!15, succ(succ(succ(succ(tptp_minus_1)))))))) <=> ((~![C: $i] : ((a_select2(s_values7_init, C) = init) | (~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1)))))))) | (a_select2(s_values7_init, G!15) = init) | (~leq(succ(tptp_minus_1), G!15)) | (~leq(G!15, succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.53/0.60 inference(rewrite,[status(thm)],[])).
% 0.53/0.60 tff(26,plain,
% 0.53/0.60 ((~![C: $i] : ((a_select2(s_values7_init, C) = init) | (~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1)))))))) | ((a_select2(s_values7_init, G!15) = init) | (~leq(succ(tptp_minus_1), G!15)) | (~leq(G!15, succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.53/0.60 inference(quant_inst,[status(thm)],[])).
% 0.53/0.60 tff(27,plain,
% 0.53/0.60 ((~![C: $i] : ((a_select2(s_values7_init, C) = init) | (~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1)))))))) | (a_select2(s_values7_init, G!15) = init) | (~leq(succ(tptp_minus_1), G!15)) | (~leq(G!15, succ(succ(succ(succ(tptp_minus_1))))))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.53/0.60 tff(28,plain,
% 0.53/0.60 ($false),
% 0.53/0.60 inference(unit_resolution,[status(thm)],[27, 24, 7, 5, 3])).
% 0.53/0.60 tff(29,plain,((a_select2(s_values7_init, G!15) = init) | (~leq(succ(tptp_minus_1), G!15)) | (~leq(G!15, succ(succ(succ(succ(tptp_minus_1))))))), inference(lemma,lemma(discharge,[]))).
% 0.53/0.60 tff(30,plain,
% 0.53/0.60 (^[X: $i] : refl((minus(X, succ(succ(tptp_minus_1))) = pred(X)) <=> (minus(X, succ(succ(tptp_minus_1))) = pred(X)))),
% 0.53/0.60 inference(bind,[status(th)],[])).
% 0.53/0.60 tff(31,plain,
% 0.53/0.60 (![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X)) <=> ![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.53/0.60 inference(quant_intro,[status(thm)],[30])).
% 0.53/0.60 tff(32,plain,
% 0.53/0.60 (^[X: $i] : rewrite((minus(X, n1) = pred(X)) <=> (minus(X, succ(succ(tptp_minus_1))) = pred(X)))),
% 0.53/0.60 inference(bind,[status(th)],[])).
% 0.53/0.60 tff(33,plain,
% 0.53/0.60 (![X: $i] : (minus(X, n1) = pred(X)) <=> ![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.53/0.60 inference(quant_intro,[status(thm)],[32])).
% 0.53/0.60 tff(34,plain,
% 0.53/0.60 (![X: $i] : (minus(X, n1) = pred(X)) <=> ![X: $i] : (minus(X, n1) = pred(X))),
% 0.53/0.60 inference(rewrite,[status(thm)],[])).
% 0.53/0.60 tff(35,axiom,(![X: $i] : (minus(X, n1) = pred(X))), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax','pred_minus_1')).
% 0.53/0.60 tff(36,plain,
% 0.53/0.60 (![X: $i] : (minus(X, n1) = pred(X))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.53/0.60 tff(37,plain,
% 0.53/0.60 (![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[36, 33])).
% 0.53/0.60 tff(38,plain,(
% 0.53/0.60 ![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.53/0.60 inference(skolemize,[status(sab)],[37])).
% 0.53/0.60 tff(39,plain,
% 0.53/0.60 (![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[38, 31])).
% 0.53/0.60 tff(40,plain,
% 0.53/0.60 ((~![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))) | (minus(succ(tptp_minus_1), succ(succ(tptp_minus_1))) = pred(succ(tptp_minus_1)))),
% 0.53/0.60 inference(quant_inst,[status(thm)],[])).
% 0.53/0.60 tff(41,plain,
% 0.53/0.60 (minus(succ(tptp_minus_1), succ(succ(tptp_minus_1))) = pred(succ(tptp_minus_1))),
% 0.53/0.60 inference(unit_resolution,[status(thm)],[40, 39])).
% 0.53/0.60 tff(42,plain,
% 0.53/0.60 (pred(succ(tptp_minus_1)) = minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))),
% 0.53/0.60 inference(symmetry,[status(thm)],[41])).
% 0.53/0.60 tff(43,plain,
% 0.53/0.60 (![X: $i] : (pred(succ(X)) = X) <=> ![X: $i] : (pred(succ(X)) = X)),
% 0.53/0.60 inference(rewrite,[status(thm)],[])).
% 0.53/0.60 tff(44,plain,
% 0.53/0.60 (![X: $i] : (pred(succ(X)) = X) <=> ![X: $i] : (pred(succ(X)) = X)),
% 0.53/0.60 inference(rewrite,[status(thm)],[])).
% 0.53/0.60 tff(45,axiom,(![X: $i] : (pred(succ(X)) = X)), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax','pred_succ')).
% 0.53/0.60 tff(46,plain,
% 0.53/0.60 (![X: $i] : (pred(succ(X)) = X)),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.53/0.60 tff(47,plain,(
% 0.53/0.60 ![X: $i] : (pred(succ(X)) = X)),
% 0.53/0.60 inference(skolemize,[status(sab)],[46])).
% 0.53/0.60 tff(48,plain,
% 0.53/0.60 (![X: $i] : (pred(succ(X)) = X)),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[47, 43])).
% 0.53/0.60 tff(49,plain,
% 0.53/0.60 ((~![X: $i] : (pred(succ(X)) = X)) | (pred(succ(tptp_minus_1)) = tptp_minus_1)),
% 0.53/0.60 inference(quant_inst,[status(thm)],[])).
% 0.53/0.60 tff(50,plain,
% 0.53/0.60 (pred(succ(tptp_minus_1)) = tptp_minus_1),
% 0.53/0.60 inference(unit_resolution,[status(thm)],[49, 48])).
% 0.53/0.60 tff(51,plain,
% 0.53/0.60 (tptp_minus_1 = pred(succ(tptp_minus_1))),
% 0.53/0.60 inference(symmetry,[status(thm)],[50])).
% 0.53/0.60 tff(52,plain,
% 0.53/0.60 (tptp_minus_1 = minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))),
% 0.53/0.60 inference(transitivity,[status(thm)],[51, 42])).
% 0.53/0.60 tff(53,plain,
% 0.53/0.60 (leq(I!17, tptp_minus_1) <=> leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1))))),
% 0.53/0.60 inference(monotonicity,[status(thm)],[52])).
% 0.53/0.60 tff(54,plain,
% 0.53/0.60 (leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))) <=> leq(I!17, tptp_minus_1)),
% 0.53/0.60 inference(symmetry,[status(thm)],[53])).
% 0.53/0.60 tff(55,assumption,(~((a_select2(s_try7_init, I!17) = init) | (~leq(succ(tptp_minus_1), I!17)) | (~leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1))))))), introduced(assumption)).
% 0.53/0.60 tff(56,plain,
% 0.53/0.60 (((a_select2(s_try7_init, I!17) = init) | (~leq(succ(tptp_minus_1), I!17)) | (~leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1))))),
% 0.53/0.60 inference(tautology,[status(thm)],[])).
% 0.53/0.60 tff(57,plain,
% 0.53/0.60 (leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1))))),
% 0.53/0.60 inference(unit_resolution,[status(thm)],[56, 55])).
% 0.53/0.60 tff(58,plain,
% 0.53/0.60 (leq(I!17, tptp_minus_1)),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[57, 54])).
% 0.53/0.60 tff(59,assumption,(tptp_minus_1 = succ(tptp_minus_1)), introduced(assumption)).
% 0.53/0.60 tff(60,plain,
% 0.53/0.60 (succ(tptp_minus_1) = tptp_minus_1),
% 0.53/0.60 inference(symmetry,[status(thm)],[59])).
% 0.53/0.60 tff(61,plain,
% 0.53/0.60 (gt(succ(tptp_minus_1), succ(tptp_minus_1)) <=> gt(succ(tptp_minus_1), tptp_minus_1)),
% 0.53/0.60 inference(monotonicity,[status(thm)],[60])).
% 0.53/0.60 tff(62,plain,
% 0.53/0.60 (gt(succ(tptp_minus_1), tptp_minus_1) <=> gt(succ(tptp_minus_1), succ(tptp_minus_1))),
% 0.53/0.60 inference(symmetry,[status(thm)],[61])).
% 0.53/0.60 tff(63,plain,
% 0.53/0.60 (gt(n0, tptp_minus_1) <=> gt(succ(tptp_minus_1), tptp_minus_1)),
% 0.53/0.60 inference(rewrite,[status(thm)],[])).
% 0.53/0.60 tff(64,plain,
% 0.53/0.60 (gt(n0, tptp_minus_1) <=> gt(n0, tptp_minus_1)),
% 0.53/0.60 inference(rewrite,[status(thm)],[])).
% 0.53/0.60 tff(65,axiom,(gt(n0, tptp_minus_1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_0_tptp_minus_1')).
% 0.53/0.60 tff(66,plain,
% 0.53/0.60 (gt(n0, tptp_minus_1)),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[65, 64])).
% 0.53/0.60 tff(67,plain,
% 0.53/0.60 (gt(succ(tptp_minus_1), tptp_minus_1)),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[66, 63])).
% 0.53/0.60 tff(68,plain,
% 0.53/0.60 (gt(succ(tptp_minus_1), succ(tptp_minus_1))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[67, 62])).
% 0.53/0.60 tff(69,plain,
% 0.53/0.60 (^[X: $i] : refl((~gt(X, X)) <=> (~gt(X, X)))),
% 0.53/0.60 inference(bind,[status(th)],[])).
% 0.53/0.60 tff(70,plain,
% 0.53/0.60 (![X: $i] : (~gt(X, X)) <=> ![X: $i] : (~gt(X, X))),
% 0.53/0.60 inference(quant_intro,[status(thm)],[69])).
% 0.53/0.60 tff(71,plain,
% 0.53/0.60 (![X: $i] : (~gt(X, X)) <=> ![X: $i] : (~gt(X, X))),
% 0.53/0.60 inference(rewrite,[status(thm)],[])).
% 0.53/0.60 tff(72,axiom,(![X: $i] : (~gt(X, X))), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax','irreflexivity_gt')).
% 0.53/0.60 tff(73,plain,
% 0.53/0.60 (![X: $i] : (~gt(X, X))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.53/0.60 tff(74,plain,(
% 0.53/0.60 ![X: $i] : (~gt(X, X))),
% 0.53/0.60 inference(skolemize,[status(sab)],[73])).
% 0.53/0.60 tff(75,plain,
% 0.53/0.60 (![X: $i] : (~gt(X, X))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[74, 70])).
% 0.53/0.60 tff(76,plain,
% 0.53/0.60 ((~![X: $i] : (~gt(X, X))) | (~gt(succ(tptp_minus_1), succ(tptp_minus_1)))),
% 0.53/0.60 inference(quant_inst,[status(thm)],[])).
% 0.53/0.60 tff(77,plain,
% 0.53/0.60 (~gt(succ(tptp_minus_1), succ(tptp_minus_1))),
% 0.53/0.60 inference(unit_resolution,[status(thm)],[76, 75])).
% 0.53/0.60 tff(78,plain,
% 0.53/0.60 ($false),
% 0.53/0.60 inference(unit_resolution,[status(thm)],[77, 68])).
% 0.53/0.60 tff(79,plain,(~(tptp_minus_1 = succ(tptp_minus_1))), inference(lemma,lemma(discharge,[]))).
% 0.53/0.60 tff(80,plain,
% 0.53/0.60 (^[X: $i, Y: $i] : refl(((~gt(Y, X)) | leq(X, Y)) <=> ((~gt(Y, X)) | leq(X, Y)))),
% 0.53/0.60 inference(bind,[status(th)],[])).
% 0.53/0.60 tff(81,plain,
% 0.53/0.60 (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y)) <=> ![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.53/0.60 inference(quant_intro,[status(thm)],[80])).
% 0.53/0.60 tff(82,plain,
% 0.53/0.60 (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y)) <=> ![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.53/0.60 inference(rewrite,[status(thm)],[])).
% 0.53/0.60 tff(83,plain,
% 0.53/0.60 (^[X: $i, Y: $i] : rewrite((gt(Y, X) => leq(X, Y)) <=> ((~gt(Y, X)) | leq(X, Y)))),
% 0.53/0.60 inference(bind,[status(th)],[])).
% 0.53/0.60 tff(84,plain,
% 0.53/0.60 (![X: $i, Y: $i] : (gt(Y, X) => leq(X, Y)) <=> ![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.53/0.60 inference(quant_intro,[status(thm)],[83])).
% 0.53/0.60 tff(85,axiom,(![X: $i, Y: $i] : (gt(Y, X) => leq(X, Y))), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax','leq_gt1')).
% 0.53/0.60 tff(86,plain,
% 0.53/0.60 (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.53/0.60 tff(87,plain,
% 0.53/0.60 (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[86, 82])).
% 0.53/0.60 tff(88,plain,(
% 0.53/0.60 ![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.53/0.60 inference(skolemize,[status(sab)],[87])).
% 0.53/0.60 tff(89,plain,
% 0.53/0.60 (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[88, 81])).
% 0.53/0.60 tff(90,plain,
% 0.53/0.60 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(tptp_minus_1), tptp_minus_1)) | leq(tptp_minus_1, succ(tptp_minus_1)))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(tptp_minus_1), tptp_minus_1)) | leq(tptp_minus_1, succ(tptp_minus_1)))),
% 0.53/0.60 inference(rewrite,[status(thm)],[])).
% 0.53/0.60 tff(91,plain,
% 0.53/0.60 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(tptp_minus_1), tptp_minus_1)) | leq(tptp_minus_1, succ(tptp_minus_1)))),
% 0.53/0.60 inference(quant_inst,[status(thm)],[])).
% 0.53/0.60 tff(92,plain,
% 0.53/0.60 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(tptp_minus_1), tptp_minus_1)) | leq(tptp_minus_1, succ(tptp_minus_1))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[91, 90])).
% 0.53/0.60 tff(93,plain,
% 0.53/0.60 (leq(tptp_minus_1, succ(tptp_minus_1))),
% 0.53/0.60 inference(unit_resolution,[status(thm)],[92, 89, 67])).
% 0.53/0.60 tff(94,plain,
% 0.53/0.60 (^[X: $i] : refl(((X = succ(tptp_minus_1)) | (~leq(succ(tptp_minus_1), X)) | (~leq(X, succ(tptp_minus_1)))) <=> ((X = succ(tptp_minus_1)) | (~leq(succ(tptp_minus_1), X)) | (~leq(X, succ(tptp_minus_1)))))),
% 0.53/0.60 inference(bind,[status(th)],[])).
% 0.53/0.60 tff(95,plain,
% 0.53/0.60 (![X: $i] : ((X = succ(tptp_minus_1)) | (~leq(succ(tptp_minus_1), X)) | (~leq(X, succ(tptp_minus_1)))) <=> ![X: $i] : ((X = succ(tptp_minus_1)) | (~leq(succ(tptp_minus_1), X)) | (~leq(X, succ(tptp_minus_1))))),
% 0.53/0.60 inference(quant_intro,[status(thm)],[94])).
% 0.53/0.60 tff(96,plain,
% 0.53/0.60 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite((leq(succ(tptp_minus_1), X) & leq(X, succ(tptp_minus_1))) <=> (~((~leq(succ(tptp_minus_1), X)) | (~leq(X, succ(tptp_minus_1)))))), ((~(leq(succ(tptp_minus_1), X) & leq(X, succ(tptp_minus_1)))) <=> (~(~((~leq(succ(tptp_minus_1), X)) | (~leq(X, succ(tptp_minus_1)))))))), rewrite((~(~((~leq(succ(tptp_minus_1), X)) | (~leq(X, succ(tptp_minus_1)))))) <=> ((~leq(succ(tptp_minus_1), X)) | (~leq(X, succ(tptp_minus_1))))), ((~(leq(succ(tptp_minus_1), X) & leq(X, succ(tptp_minus_1)))) <=> ((~leq(succ(tptp_minus_1), X)) | (~leq(X, succ(tptp_minus_1)))))), (((~(leq(succ(tptp_minus_1), X) & leq(X, succ(tptp_minus_1)))) | (X = succ(tptp_minus_1))) <=> (((~leq(succ(tptp_minus_1), X)) | (~leq(X, succ(tptp_minus_1)))) | (X = succ(tptp_minus_1))))), rewrite((((~leq(succ(tptp_minus_1), X)) | (~leq(X, succ(tptp_minus_1)))) | (X = succ(tptp_minus_1))) <=> ((X = succ(tptp_minus_1)) | (~leq(succ(tptp_minus_1), X)) | (~leq(X, succ(tptp_minus_1))))), (((~(leq(succ(tptp_minus_1), X) & leq(X, succ(tptp_minus_1)))) | (X = succ(tptp_minus_1))) <=> ((X = succ(tptp_minus_1)) | (~leq(succ(tptp_minus_1), X)) | (~leq(X, succ(tptp_minus_1))))))),
% 0.53/0.60 inference(bind,[status(th)],[])).
% 0.53/0.60 tff(97,plain,
% 0.53/0.60 (![X: $i] : ((~(leq(succ(tptp_minus_1), X) & leq(X, succ(tptp_minus_1)))) | (X = succ(tptp_minus_1))) <=> ![X: $i] : ((X = succ(tptp_minus_1)) | (~leq(succ(tptp_minus_1), X)) | (~leq(X, succ(tptp_minus_1))))),
% 0.53/0.60 inference(quant_intro,[status(thm)],[96])).
% 0.53/0.60 tff(98,plain,
% 0.53/0.60 (^[X: $i] : rewrite(((~(leq(n0, X) & leq(X, n0))) | (X = n0)) <=> ((~(leq(succ(tptp_minus_1), X) & leq(X, succ(tptp_minus_1)))) | (X = succ(tptp_minus_1))))),
% 0.53/0.60 inference(bind,[status(th)],[])).
% 0.53/0.60 tff(99,plain,
% 0.53/0.60 (![X: $i] : ((~(leq(n0, X) & leq(X, n0))) | (X = n0)) <=> ![X: $i] : ((~(leq(succ(tptp_minus_1), X) & leq(X, succ(tptp_minus_1)))) | (X = succ(tptp_minus_1)))),
% 0.53/0.60 inference(quant_intro,[status(thm)],[98])).
% 0.53/0.60 tff(100,plain,
% 0.53/0.60 (![X: $i] : ((~(leq(n0, X) & leq(X, n0))) | (X = n0)) <=> ![X: $i] : ((~(leq(n0, X) & leq(X, n0))) | (X = n0))),
% 0.53/0.60 inference(rewrite,[status(thm)],[])).
% 0.53/0.60 tff(101,plain,
% 0.53/0.60 (^[X: $i] : rewrite(((leq(n0, X) & leq(X, n0)) => (X = n0)) <=> ((~(leq(n0, X) & leq(X, n0))) | (X = n0)))),
% 0.53/0.60 inference(bind,[status(th)],[])).
% 0.53/0.60 tff(102,plain,
% 0.53/0.60 (![X: $i] : ((leq(n0, X) & leq(X, n0)) => (X = n0)) <=> ![X: $i] : ((~(leq(n0, X) & leq(X, n0))) | (X = n0))),
% 0.53/0.60 inference(quant_intro,[status(thm)],[101])).
% 0.53/0.60 tff(103,axiom,(![X: $i] : ((leq(n0, X) & leq(X, n0)) => (X = n0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','finite_domain_0')).
% 0.53/0.60 tff(104,plain,
% 0.53/0.60 (![X: $i] : ((~(leq(n0, X) & leq(X, n0))) | (X = n0))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.53/0.60 tff(105,plain,
% 0.53/0.60 (![X: $i] : ((~(leq(n0, X) & leq(X, n0))) | (X = n0))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[104, 100])).
% 0.53/0.60 tff(106,plain,
% 0.53/0.60 (![X: $i] : ((~(leq(succ(tptp_minus_1), X) & leq(X, succ(tptp_minus_1)))) | (X = succ(tptp_minus_1)))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[105, 99])).
% 0.53/0.60 tff(107,plain,(
% 0.53/0.60 ![X: $i] : ((~(leq(succ(tptp_minus_1), X) & leq(X, succ(tptp_minus_1)))) | (X = succ(tptp_minus_1)))),
% 0.53/0.60 inference(skolemize,[status(sab)],[106])).
% 0.53/0.60 tff(108,plain,
% 0.53/0.60 (![X: $i] : ((X = succ(tptp_minus_1)) | (~leq(succ(tptp_minus_1), X)) | (~leq(X, succ(tptp_minus_1))))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[107, 97])).
% 0.53/0.60 tff(109,plain,
% 0.53/0.60 (![X: $i] : ((X = succ(tptp_minus_1)) | (~leq(succ(tptp_minus_1), X)) | (~leq(X, succ(tptp_minus_1))))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[108, 95])).
% 0.53/0.60 tff(110,plain,
% 0.53/0.60 (((~![X: $i] : ((X = succ(tptp_minus_1)) | (~leq(succ(tptp_minus_1), X)) | (~leq(X, succ(tptp_minus_1))))) | ((tptp_minus_1 = succ(tptp_minus_1)) | (~leq(succ(tptp_minus_1), tptp_minus_1)) | (~leq(tptp_minus_1, succ(tptp_minus_1))))) <=> ((~![X: $i] : ((X = succ(tptp_minus_1)) | (~leq(succ(tptp_minus_1), X)) | (~leq(X, succ(tptp_minus_1))))) | (tptp_minus_1 = succ(tptp_minus_1)) | (~leq(succ(tptp_minus_1), tptp_minus_1)) | (~leq(tptp_minus_1, succ(tptp_minus_1))))),
% 0.53/0.60 inference(rewrite,[status(thm)],[])).
% 0.53/0.60 tff(111,plain,
% 0.53/0.60 ((~![X: $i] : ((X = succ(tptp_minus_1)) | (~leq(succ(tptp_minus_1), X)) | (~leq(X, succ(tptp_minus_1))))) | ((tptp_minus_1 = succ(tptp_minus_1)) | (~leq(succ(tptp_minus_1), tptp_minus_1)) | (~leq(tptp_minus_1, succ(tptp_minus_1))))),
% 0.53/0.61 inference(quant_inst,[status(thm)],[])).
% 0.53/0.61 tff(112,plain,
% 0.53/0.61 ((~![X: $i] : ((X = succ(tptp_minus_1)) | (~leq(succ(tptp_minus_1), X)) | (~leq(X, succ(tptp_minus_1))))) | (tptp_minus_1 = succ(tptp_minus_1)) | (~leq(succ(tptp_minus_1), tptp_minus_1)) | (~leq(tptp_minus_1, succ(tptp_minus_1)))),
% 0.53/0.61 inference(modus_ponens,[status(thm)],[111, 110])).
% 0.53/0.61 tff(113,plain,
% 0.53/0.61 ((tptp_minus_1 = succ(tptp_minus_1)) | (~leq(succ(tptp_minus_1), tptp_minus_1))),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[112, 109, 93])).
% 0.53/0.61 tff(114,plain,
% 0.53/0.61 (~leq(succ(tptp_minus_1), tptp_minus_1)),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[113, 79])).
% 0.53/0.61 tff(115,plain,
% 0.53/0.61 (((a_select2(s_try7_init, I!17) = init) | (~leq(succ(tptp_minus_1), I!17)) | (~leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | leq(succ(tptp_minus_1), I!17)),
% 0.53/0.61 inference(tautology,[status(thm)],[])).
% 0.53/0.61 tff(116,plain,
% 0.53/0.61 (leq(succ(tptp_minus_1), I!17)),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[115, 55])).
% 0.53/0.61 tff(117,plain,
% 0.53/0.61 (![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y))) <=> ![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))),
% 0.53/0.61 inference(rewrite,[status(thm)],[])).
% 0.53/0.61 tff(118,plain,
% 0.53/0.61 (^[X: $i, Y: $i, Z: $i] : trans(monotonicity(trans(monotonicity(rewrite((leq(X, Y) & leq(Y, Z)) <=> (~((~leq(Y, Z)) | (~leq(X, Y))))), ((~(leq(X, Y) & leq(Y, Z))) <=> (~(~((~leq(Y, Z)) | (~leq(X, Y))))))), rewrite((~(~((~leq(Y, Z)) | (~leq(X, Y))))) <=> ((~leq(Y, Z)) | (~leq(X, Y)))), ((~(leq(X, Y) & leq(Y, Z))) <=> ((~leq(Y, Z)) | (~leq(X, Y))))), (((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z)) <=> (((~leq(Y, Z)) | (~leq(X, Y))) | leq(X, Z)))), rewrite((((~leq(Y, Z)) | (~leq(X, Y))) | leq(X, Z)) <=> (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))), (((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z)) <=> (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))))),
% 0.53/0.61 inference(bind,[status(th)],[])).
% 0.53/0.61 tff(119,plain,
% 0.53/0.61 (![X: $i, Y: $i, Z: $i] : ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))),
% 0.53/0.61 inference(quant_intro,[status(thm)],[118])).
% 0.53/0.61 tff(120,plain,
% 0.53/0.61 (![X: $i, Y: $i, Z: $i] : ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z))),
% 0.53/0.61 inference(rewrite,[status(thm)],[])).
% 0.53/0.61 tff(121,plain,
% 0.53/0.61 (^[X: $i, Y: $i, Z: $i] : rewrite(((leq(X, Y) & leq(Y, Z)) => leq(X, Z)) <=> ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z)))),
% 0.53/0.61 inference(bind,[status(th)],[])).
% 0.53/0.61 tff(122,plain,
% 0.53/0.61 (![X: $i, Y: $i, Z: $i] : ((leq(X, Y) & leq(Y, Z)) => leq(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z))),
% 0.53/0.61 inference(quant_intro,[status(thm)],[121])).
% 0.53/0.61 tff(123,axiom,(![X: $i, Y: $i, Z: $i] : ((leq(X, Y) & leq(Y, Z)) => leq(X, Z))), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax','transitivity_leq')).
% 0.53/0.61 tff(124,plain,
% 0.53/0.61 (![X: $i, Y: $i, Z: $i] : ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z))),
% 0.53/0.61 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.53/0.61 tff(125,plain,
% 0.53/0.61 (![X: $i, Y: $i, Z: $i] : ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z))),
% 0.53/0.61 inference(modus_ponens,[status(thm)],[124, 120])).
% 0.53/0.61 tff(126,plain,(
% 0.53/0.61 ![X: $i, Y: $i, Z: $i] : ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z))),
% 0.53/0.61 inference(skolemize,[status(sab)],[125])).
% 0.53/0.61 tff(127,plain,
% 0.53/0.61 (![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))),
% 0.53/0.61 inference(modus_ponens,[status(thm)],[126, 119])).
% 0.53/0.61 tff(128,plain,
% 0.53/0.61 (![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))),
% 0.53/0.61 inference(modus_ponens,[status(thm)],[127, 117])).
% 0.53/0.61 tff(129,plain,
% 0.53/0.61 (((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | ((~leq(succ(tptp_minus_1), I!17)) | leq(succ(tptp_minus_1), tptp_minus_1) | (~leq(I!17, tptp_minus_1)))) <=> ((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | (~leq(succ(tptp_minus_1), I!17)) | leq(succ(tptp_minus_1), tptp_minus_1) | (~leq(I!17, tptp_minus_1)))),
% 0.53/0.61 inference(rewrite,[status(thm)],[])).
% 0.53/0.61 tff(130,plain,
% 0.53/0.61 ((leq(succ(tptp_minus_1), tptp_minus_1) | (~leq(I!17, tptp_minus_1)) | (~leq(succ(tptp_minus_1), I!17))) <=> ((~leq(succ(tptp_minus_1), I!17)) | leq(succ(tptp_minus_1), tptp_minus_1) | (~leq(I!17, tptp_minus_1)))),
% 0.53/0.61 inference(rewrite,[status(thm)],[])).
% 0.53/0.61 tff(131,plain,
% 0.53/0.61 (((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | (leq(succ(tptp_minus_1), tptp_minus_1) | (~leq(I!17, tptp_minus_1)) | (~leq(succ(tptp_minus_1), I!17)))) <=> ((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | ((~leq(succ(tptp_minus_1), I!17)) | leq(succ(tptp_minus_1), tptp_minus_1) | (~leq(I!17, tptp_minus_1))))),
% 0.53/0.61 inference(monotonicity,[status(thm)],[130])).
% 0.53/0.61 tff(132,plain,
% 0.53/0.61 (((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | (leq(succ(tptp_minus_1), tptp_minus_1) | (~leq(I!17, tptp_minus_1)) | (~leq(succ(tptp_minus_1), I!17)))) <=> ((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | (~leq(succ(tptp_minus_1), I!17)) | leq(succ(tptp_minus_1), tptp_minus_1) | (~leq(I!17, tptp_minus_1)))),
% 0.53/0.61 inference(transitivity,[status(thm)],[131, 129])).
% 0.53/0.61 tff(133,plain,
% 0.53/0.61 ((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | (leq(succ(tptp_minus_1), tptp_minus_1) | (~leq(I!17, tptp_minus_1)) | (~leq(succ(tptp_minus_1), I!17)))),
% 0.53/0.61 inference(quant_inst,[status(thm)],[])).
% 0.53/0.61 tff(134,plain,
% 0.53/0.61 ((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | (~leq(succ(tptp_minus_1), I!17)) | leq(succ(tptp_minus_1), tptp_minus_1) | (~leq(I!17, tptp_minus_1))),
% 0.53/0.61 inference(modus_ponens,[status(thm)],[133, 132])).
% 0.53/0.61 tff(135,plain,
% 0.53/0.61 (~leq(I!17, tptp_minus_1)),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[134, 128, 116, 114])).
% 0.53/0.61 tff(136,plain,
% 0.53/0.61 ($false),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[135, 58])).
% 0.53/0.61 tff(137,plain,((a_select2(s_try7_init, I!17) = init) | (~leq(succ(tptp_minus_1), I!17)) | (~leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))), inference(lemma,lemma(discharge,[]))).
% 0.53/0.61 tff(138,assumption,(~((a_select2(s_center7_init, H!16) = init) | (~leq(succ(tptp_minus_1), H!16)) | (~leq(H!16, succ(succ(succ(tptp_minus_1))))))), introduced(assumption)).
% 0.53/0.61 tff(139,plain,
% 0.53/0.61 (((a_select2(s_center7_init, H!16) = init) | (~leq(succ(tptp_minus_1), H!16)) | (~leq(H!16, succ(succ(succ(tptp_minus_1)))))) | leq(H!16, succ(succ(succ(tptp_minus_1))))),
% 0.53/0.61 inference(tautology,[status(thm)],[])).
% 0.53/0.61 tff(140,plain,
% 0.53/0.61 (leq(H!16, succ(succ(succ(tptp_minus_1))))),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[139, 138])).
% 0.53/0.61 tff(141,plain,
% 0.53/0.61 (((a_select2(s_center7_init, H!16) = init) | (~leq(succ(tptp_minus_1), H!16)) | (~leq(H!16, succ(succ(succ(tptp_minus_1)))))) | leq(succ(tptp_minus_1), H!16)),
% 0.53/0.61 inference(tautology,[status(thm)],[])).
% 0.53/0.61 tff(142,plain,
% 0.53/0.61 (leq(succ(tptp_minus_1), H!16)),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[141, 138])).
% 0.53/0.61 tff(143,plain,
% 0.53/0.61 (((a_select2(s_center7_init, H!16) = init) | (~leq(succ(tptp_minus_1), H!16)) | (~leq(H!16, succ(succ(succ(tptp_minus_1)))))) | (~(a_select2(s_center7_init, H!16) = init))),
% 0.53/0.61 inference(tautology,[status(thm)],[])).
% 0.53/0.61 tff(144,plain,
% 0.53/0.61 (~(a_select2(s_center7_init, H!16) = init)),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[143, 138])).
% 0.53/0.61 tff(145,plain,
% 0.53/0.61 (^[D: $i] : refl(((a_select2(s_center7_init, D) = init) | (~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1)))))) <=> ((a_select2(s_center7_init, D) = init) | (~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1)))))))),
% 0.53/0.61 inference(bind,[status(th)],[])).
% 0.53/0.61 tff(146,plain,
% 0.53/0.61 (![D: $i] : ((a_select2(s_center7_init, D) = init) | (~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1)))))) <=> ![D: $i] : ((a_select2(s_center7_init, D) = init) | (~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1))))))),
% 0.53/0.61 inference(quant_intro,[status(thm)],[145])).
% 0.53/0.61 tff(147,plain,
% 0.53/0.61 (^[D: $i] : trans(monotonicity(trans(monotonicity(rewrite((leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1))))) <=> (~((~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1)))))))), ((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) <=> (~(~((~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1)))))))))), rewrite((~(~((~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1)))))))) <=> ((~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1))))))), ((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) <=> ((~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1)))))))), (((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, D) = init)) <=> (((~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, D) = init)))), rewrite((((~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, D) = init)) <=> ((a_select2(s_center7_init, D) = init) | (~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1))))))), (((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, D) = init)) <=> ((a_select2(s_center7_init, D) = init) | (~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1))))))))),
% 0.53/0.61 inference(bind,[status(th)],[])).
% 0.53/0.61 tff(148,plain,
% 0.53/0.61 (![D: $i] : ((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, D) = init)) <=> ![D: $i] : ((a_select2(s_center7_init, D) = init) | (~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1))))))),
% 0.53/0.61 inference(quant_intro,[status(thm)],[147])).
% 0.53/0.61 tff(149,plain,
% 0.53/0.61 (^[D: $i] : rewrite(((~(leq(n0, D) & leq(D, n2))) | (a_select2(s_center7_init, D) = init)) <=> ((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, D) = init)))),
% 0.53/0.61 inference(bind,[status(th)],[])).
% 0.53/0.61 tff(150,plain,
% 0.53/0.61 (![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | (a_select2(s_center7_init, D) = init)) <=> ![D: $i] : ((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, D) = init))),
% 0.53/0.61 inference(quant_intro,[status(thm)],[149])).
% 0.53/0.61 tff(151,plain,
% 0.53/0.61 (![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | (a_select2(s_center7_init, D) = init)) <=> ![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | (a_select2(s_center7_init, D) = init))),
% 0.53/0.61 inference(rewrite,[status(thm)],[])).
% 0.53/0.61 tff(152,plain,
% 0.53/0.61 (![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | (a_select2(s_center7_init, D) = init))),
% 0.53/0.61 inference(and_elim,[status(thm)],[18])).
% 0.53/0.61 tff(153,plain,
% 0.53/0.61 (![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | (a_select2(s_center7_init, D) = init))),
% 0.53/0.61 inference(modus_ponens,[status(thm)],[152, 151])).
% 0.53/0.61 tff(154,plain,
% 0.53/0.61 (![D: $i] : ((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, D) = init))),
% 0.53/0.61 inference(modus_ponens,[status(thm)],[153, 150])).
% 0.53/0.61 tff(155,plain,(
% 0.53/0.61 ![D: $i] : ((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, D) = init))),
% 0.53/0.61 inference(skolemize,[status(sab)],[154])).
% 0.53/0.61 tff(156,plain,
% 0.53/0.61 (![D: $i] : ((a_select2(s_center7_init, D) = init) | (~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1))))))),
% 0.53/0.61 inference(modus_ponens,[status(thm)],[155, 148])).
% 0.53/0.61 tff(157,plain,
% 0.53/0.61 (![D: $i] : ((a_select2(s_center7_init, D) = init) | (~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1))))))),
% 0.53/0.61 inference(modus_ponens,[status(thm)],[156, 146])).
% 0.53/0.61 tff(158,plain,
% 0.53/0.61 (((~![D: $i] : ((a_select2(s_center7_init, D) = init) | (~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1))))))) | ((a_select2(s_center7_init, H!16) = init) | (~leq(succ(tptp_minus_1), H!16)) | (~leq(H!16, succ(succ(succ(tptp_minus_1))))))) <=> ((~![D: $i] : ((a_select2(s_center7_init, D) = init) | (~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_center7_init, H!16) = init) | (~leq(succ(tptp_minus_1), H!16)) | (~leq(H!16, succ(succ(succ(tptp_minus_1))))))),
% 0.53/0.61 inference(rewrite,[status(thm)],[])).
% 0.53/0.61 tff(159,plain,
% 0.53/0.61 ((~![D: $i] : ((a_select2(s_center7_init, D) = init) | (~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1))))))) | ((a_select2(s_center7_init, H!16) = init) | (~leq(succ(tptp_minus_1), H!16)) | (~leq(H!16, succ(succ(succ(tptp_minus_1))))))),
% 0.53/0.62 inference(quant_inst,[status(thm)],[])).
% 0.53/0.62 tff(160,plain,
% 0.53/0.62 ((~![D: $i] : ((a_select2(s_center7_init, D) = init) | (~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_center7_init, H!16) = init) | (~leq(succ(tptp_minus_1), H!16)) | (~leq(H!16, succ(succ(succ(tptp_minus_1)))))),
% 0.53/0.62 inference(modus_ponens,[status(thm)],[159, 158])).
% 0.53/0.62 tff(161,plain,
% 0.53/0.62 ($false),
% 0.53/0.62 inference(unit_resolution,[status(thm)],[160, 157, 144, 142, 140])).
% 0.53/0.62 tff(162,plain,((a_select2(s_center7_init, H!16) = init) | (~leq(succ(tptp_minus_1), H!16)) | (~leq(H!16, succ(succ(succ(tptp_minus_1)))))), inference(lemma,lemma(discharge,[]))).
% 0.53/0.62 tff(163,plain,
% 0.53/0.62 (((~((a_select2(s_values7_init, G!15) = init) | (~leq(succ(tptp_minus_1), G!15)) | (~leq(G!15, succ(succ(succ(succ(tptp_minus_1)))))))) | (~((a_select2(s_center7_init, H!16) = init) | (~leq(succ(tptp_minus_1), H!16)) | (~leq(H!16, succ(succ(succ(tptp_minus_1))))))) | (~((a_select2(s_try7_init, I!17) = init) | (~leq(succ(tptp_minus_1), I!17)) | (~leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1))))))) | (~((a_select3(simplex7_init, F!14, E!13) = init) | (~leq(succ(tptp_minus_1), F!14)) | (~leq(F!14, succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), E!13)) | (~leq(E!13, succ(succ(succ(tptp_minus_1)))))))) <=> ((~((a_select3(simplex7_init, F!14, E!13) = init) | (~leq(succ(tptp_minus_1), F!14)) | (~leq(F!14, succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), E!13)) | (~leq(E!13, succ(succ(succ(tptp_minus_1))))))) | (~((a_select2(s_values7_init, G!15) = init) | (~leq(succ(tptp_minus_1), G!15)) | (~leq(G!15, succ(succ(succ(succ(tptp_minus_1)))))))) | (~((a_select2(s_center7_init, H!16) = init) | (~leq(succ(tptp_minus_1), H!16)) | (~leq(H!16, succ(succ(succ(tptp_minus_1))))))) | (~((a_select2(s_try7_init, I!17) = init) | (~leq(succ(tptp_minus_1), I!17)) | (~leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1))))))))),
% 0.53/0.62 inference(rewrite,[status(thm)],[])).
% 0.53/0.62 tff(164,plain,
% 0.53/0.62 ((leq(succ(tptp_minus_1), E!13) & leq(E!13, succ(succ(succ(tptp_minus_1)))) & (~((a_select3(simplex7_init, F!14, E!13) = init) | (~leq(succ(tptp_minus_1), F!14)) | (~leq(F!14, succ(succ(succ(succ(tptp_minus_1))))))))) <=> (~((a_select3(simplex7_init, F!14, E!13) = init) | (~leq(succ(tptp_minus_1), F!14)) | (~leq(F!14, succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), E!13)) | (~leq(E!13, succ(succ(succ(tptp_minus_1)))))))),
% 0.53/0.62 inference(rewrite,[status(thm)],[])).
% 0.53/0.62 tff(165,plain,
% 0.53/0.62 ((~((~(leq(succ(tptp_minus_1), F!14) & leq(F!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F!14, E!13) = init))) <=> (~((a_select3(simplex7_init, F!14, E!13) = init) | (~leq(succ(tptp_minus_1), F!14)) | (~leq(F!14, succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.53/0.62 inference(rewrite,[status(thm)],[])).
% 0.53/0.62 tff(166,plain,
% 0.53/0.62 ((leq(succ(tptp_minus_1), E!13) & leq(E!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), F!14) & leq(F!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F!14, E!13) = init)))) <=> (leq(succ(tptp_minus_1), E!13) & leq(E!13, succ(succ(succ(tptp_minus_1)))) & (~((a_select3(simplex7_init, F!14, E!13) = init) | (~leq(succ(tptp_minus_1), F!14)) | (~leq(F!14, succ(succ(succ(succ(tptp_minus_1)))))))))),
% 0.53/0.62 inference(monotonicity,[status(thm)],[165])).
% 0.53/0.62 tff(167,plain,
% 0.53/0.62 ((leq(succ(tptp_minus_1), E!13) & leq(E!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), F!14) & leq(F!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F!14, E!13) = init)))) <=> (~((a_select3(simplex7_init, F!14, E!13) = init) | (~leq(succ(tptp_minus_1), F!14)) | (~leq(F!14, succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), E!13)) | (~leq(E!13, succ(succ(succ(tptp_minus_1)))))))),
% 0.53/0.62 inference(transitivity,[status(thm)],[166, 164])).
% 0.53/0.62 tff(168,plain,
% 0.53/0.62 ((~((~(leq(succ(tptp_minus_1), I!17) & leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, I!17) = init))) <=> (~((a_select2(s_try7_init, I!17) = init) | (~leq(succ(tptp_minus_1), I!17)) | (~leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))))),
% 0.53/0.62 inference(rewrite,[status(thm)],[])).
% 0.53/0.62 tff(169,plain,
% 0.53/0.62 ((~((~(leq(succ(tptp_minus_1), H!16) & leq(H!16, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, H!16) = init))) <=> (~((a_select2(s_center7_init, H!16) = init) | (~leq(succ(tptp_minus_1), H!16)) | (~leq(H!16, succ(succ(succ(tptp_minus_1)))))))),
% 0.53/0.62 inference(rewrite,[status(thm)],[])).
% 0.53/0.62 tff(170,plain,
% 0.53/0.62 ((~((~(leq(succ(tptp_minus_1), G!15) & leq(G!15, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, G!15) = init))) <=> (~((a_select2(s_values7_init, G!15) = init) | (~leq(succ(tptp_minus_1), G!15)) | (~leq(G!15, succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.53/0.62 inference(rewrite,[status(thm)],[])).
% 0.53/0.62 tff(171,plain,
% 0.53/0.62 (((~((~(leq(succ(tptp_minus_1), G!15) & leq(G!15, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, G!15) = init))) | (~((~(leq(succ(tptp_minus_1), H!16) & leq(H!16, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, H!16) = init))) | (~((~(leq(succ(tptp_minus_1), I!17) & leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, I!17) = init))) | (leq(succ(tptp_minus_1), E!13) & leq(E!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), F!14) & leq(F!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F!14, E!13) = init))))) <=> ((~((a_select2(s_values7_init, G!15) = init) | (~leq(succ(tptp_minus_1), G!15)) | (~leq(G!15, succ(succ(succ(succ(tptp_minus_1)))))))) | (~((a_select2(s_center7_init, H!16) = init) | (~leq(succ(tptp_minus_1), H!16)) | (~leq(H!16, succ(succ(succ(tptp_minus_1))))))) | (~((a_select2(s_try7_init, I!17) = init) | (~leq(succ(tptp_minus_1), I!17)) | (~leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1))))))) | (~((a_select3(simplex7_init, F!14, E!13) = init) | (~leq(succ(tptp_minus_1), F!14)) | (~leq(F!14, succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), E!13)) | (~leq(E!13, succ(succ(succ(tptp_minus_1))))))))),
% 0.53/0.62 inference(monotonicity,[status(thm)],[170, 169, 168, 167])).
% 0.53/0.62 tff(172,plain,
% 0.53/0.62 (((~((~(leq(succ(tptp_minus_1), G!15) & leq(G!15, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, G!15) = init))) | (~((~(leq(succ(tptp_minus_1), H!16) & leq(H!16, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, H!16) = init))) | (~((~(leq(succ(tptp_minus_1), I!17) & leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, I!17) = init))) | (leq(succ(tptp_minus_1), E!13) & leq(E!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), F!14) & leq(F!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F!14, E!13) = init))))) <=> ((~((a_select3(simplex7_init, F!14, E!13) = init) | (~leq(succ(tptp_minus_1), F!14)) | (~leq(F!14, succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), E!13)) | (~leq(E!13, succ(succ(succ(tptp_minus_1))))))) | (~((a_select2(s_values7_init, G!15) = init) | (~leq(succ(tptp_minus_1), G!15)) | (~leq(G!15, succ(succ(succ(succ(tptp_minus_1)))))))) | (~((a_select2(s_center7_init, H!16) = init) | (~leq(succ(tptp_minus_1), H!16)) | (~leq(H!16, succ(succ(succ(tptp_minus_1))))))) | (~((a_select2(s_try7_init, I!17) = init) | (~leq(succ(tptp_minus_1), I!17)) | (~leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1))))))))),
% 0.53/0.62 inference(transitivity,[status(thm)],[171, 163])).
% 0.53/0.62 tff(173,plain,
% 0.53/0.62 (((leq(succ(tptp_minus_1), E!13) & leq(E!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), F!14) & leq(F!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F!14, E!13) = init)))) | (~((~(leq(succ(tptp_minus_1), G!15) & leq(G!15, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, G!15) = init))) | (~((~(leq(succ(tptp_minus_1), H!16) & leq(H!16, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, H!16) = init))) | (~((~(leq(succ(tptp_minus_1), I!17) & leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, I!17) = init)))) <=> ((~((~(leq(succ(tptp_minus_1), G!15) & leq(G!15, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, G!15) = init))) | (~((~(leq(succ(tptp_minus_1), H!16) & leq(H!16, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, H!16) = init))) | (~((~(leq(succ(tptp_minus_1), I!17) & leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, I!17) = init))) | (leq(succ(tptp_minus_1), E!13) & leq(E!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), F!14) & leq(F!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F!14, E!13) = init)))))),
% 0.53/0.63 inference(rewrite,[status(thm)],[])).
% 0.53/0.63 tff(174,plain,
% 0.53/0.63 (((leq(succ(tptp_minus_1), E!13) & leq(E!13, succ(succ(succ(tptp_minus_1))))) & (~((~(leq(succ(tptp_minus_1), F!14) & leq(F!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F!14, E!13) = init)))) <=> (leq(succ(tptp_minus_1), E!13) & leq(E!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), F!14) & leq(F!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F!14, E!13) = init))))),
% 0.53/0.63 inference(rewrite,[status(thm)],[])).
% 0.53/0.63 tff(175,plain,
% 0.53/0.63 ((~(~(leq(succ(tptp_minus_1), E!13) & leq(E!13, succ(succ(succ(tptp_minus_1))))))) <=> (leq(succ(tptp_minus_1), E!13) & leq(E!13, succ(succ(succ(tptp_minus_1)))))),
% 0.53/0.63 inference(rewrite,[status(thm)],[])).
% 0.53/0.63 tff(176,plain,
% 0.53/0.63 (((~(~(leq(succ(tptp_minus_1), E!13) & leq(E!13, succ(succ(succ(tptp_minus_1))))))) & (~((~(leq(succ(tptp_minus_1), F!14) & leq(F!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F!14, E!13) = init)))) <=> ((leq(succ(tptp_minus_1), E!13) & leq(E!13, succ(succ(succ(tptp_minus_1))))) & (~((~(leq(succ(tptp_minus_1), F!14) & leq(F!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F!14, E!13) = init))))),
% 0.53/0.63 inference(monotonicity,[status(thm)],[175])).
% 0.53/0.63 tff(177,plain,
% 0.53/0.63 (((~(~(leq(succ(tptp_minus_1), E!13) & leq(E!13, succ(succ(succ(tptp_minus_1))))))) & (~((~(leq(succ(tptp_minus_1), F!14) & leq(F!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F!14, E!13) = init)))) <=> (leq(succ(tptp_minus_1), E!13) & leq(E!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), F!14) & leq(F!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F!14, E!13) = init))))),
% 0.53/0.63 inference(transitivity,[status(thm)],[176, 174])).
% 0.53/0.63 tff(178,plain,
% 0.53/0.63 ((((~(~(leq(succ(tptp_minus_1), E!13) & leq(E!13, succ(succ(succ(tptp_minus_1))))))) & (~((~(leq(succ(tptp_minus_1), F!14) & leq(F!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F!14, E!13) = init)))) | (~((~(leq(succ(tptp_minus_1), G!15) & leq(G!15, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, G!15) = init))) | (~((~(leq(succ(tptp_minus_1), H!16) & leq(H!16, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, H!16) = init))) | (~((~(leq(succ(tptp_minus_1), I!17) & leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, I!17) = init)))) <=> ((leq(succ(tptp_minus_1), E!13) & leq(E!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), F!14) & leq(F!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F!14, E!13) = init)))) | (~((~(leq(succ(tptp_minus_1), G!15) & leq(G!15, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, G!15) = init))) | (~((~(leq(succ(tptp_minus_1), H!16) & leq(H!16, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, H!16) = init))) | (~((~(leq(succ(tptp_minus_1), I!17) & leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, I!17) = init))))),
% 0.53/0.63 inference(monotonicity,[status(thm)],[177])).
% 0.53/0.63 tff(179,plain,
% 0.53/0.63 ((((~(~(leq(succ(tptp_minus_1), E!13) & leq(E!13, succ(succ(succ(tptp_minus_1))))))) & (~((~(leq(succ(tptp_minus_1), F!14) & leq(F!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F!14, E!13) = init)))) | (~((~(leq(succ(tptp_minus_1), G!15) & leq(G!15, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, G!15) = init))) | (~((~(leq(succ(tptp_minus_1), H!16) & leq(H!16, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, H!16) = init))) | (~((~(leq(succ(tptp_minus_1), I!17) & leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, I!17) = init)))) <=> ((~((~(leq(succ(tptp_minus_1), G!15) & leq(G!15, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, G!15) = init))) | (~((~(leq(succ(tptp_minus_1), H!16) & leq(H!16, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, H!16) = init))) | (~((~(leq(succ(tptp_minus_1), I!17) & leq(I!17, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, I!17) = init))) | (leq(succ(tptp_minus_1), E!13) & leq(E!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), F!14) & leq(F!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F!14, E!13) = init)))))),
% 0.53/0.63 inference(transitivity,[status(thm)],[178, 173])).
% 0.53/0.63 tff(180,plain,
% 0.53/0.63 ((![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, succ(succ(succ(tptp_minus_1)))))) | ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(G, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(succ(tptp_minus_1), H) & leq(H, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(succ(tptp_minus_1), I) & leq(I, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, I) = init))) <=> (![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, succ(succ(succ(tptp_minus_1)))))) | ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(G, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(succ(tptp_minus_1), H) & leq(H, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(succ(tptp_minus_1), I) & leq(I, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, I) = init)))),
% 0.53/0.63 inference(rewrite,[status(thm)],[])).
% 0.53/0.63 tff(181,plain,
% 0.53/0.63 ((~(![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, succ(succ(succ(tptp_minus_1)))))) | ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(G, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(succ(tptp_minus_1), H) & leq(H, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(succ(tptp_minus_1), I) & leq(I, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, I) = init)))) <=> (~(![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, succ(succ(succ(tptp_minus_1)))))) | ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(G, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(succ(tptp_minus_1), H) & leq(H, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(succ(tptp_minus_1), I) & leq(I, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, I) = init))))),
% 0.53/0.63 inference(monotonicity,[status(thm)],[180])).
% 0.53/0.63 tff(182,plain,
% 0.53/0.63 ((~(![E: $i] : ((~(leq(n0, E) & leq(E, n2))) | ![F: $i] : ((~(leq(n0, F) & leq(F, n3))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(n0, H) & leq(H, n2))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, minus(n0, n1)))) | (a_select2(s_try7_init, I) = init)))) <=> (~(![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, succ(succ(succ(tptp_minus_1)))))) | ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(G, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(succ(tptp_minus_1), H) & leq(H, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(succ(tptp_minus_1), I) & leq(I, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, I) = init))))),
% 0.62/0.64 inference(rewrite,[status(thm)],[])).
% 0.62/0.64 tff(183,plain,
% 0.62/0.64 ((![E: $i] : ((~(leq(n0, E) & leq(E, n2))) | ![F: $i] : ((~(leq(n0, F) & leq(F, n3))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(n0, H) & leq(H, n2))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, minus(n0, n1)))) | (a_select2(s_try7_init, I) = init))) <=> (![E: $i] : ((~(leq(n0, E) & leq(E, n2))) | ![F: $i] : ((~(leq(n0, F) & leq(F, n3))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(n0, H) & leq(H, n2))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, minus(n0, n1)))) | (a_select2(s_try7_init, I) = init)))),
% 0.62/0.64 inference(rewrite,[status(thm)],[])).
% 0.62/0.64 tff(184,plain,
% 0.62/0.64 ((~(![E: $i] : ((~(leq(n0, E) & leq(E, n2))) | ![F: $i] : ((~(leq(n0, F) & leq(F, n3))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(n0, H) & leq(H, n2))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, minus(n0, n1)))) | (a_select2(s_try7_init, I) = init)))) <=> (~(![E: $i] : ((~(leq(n0, E) & leq(E, n2))) | ![F: $i] : ((~(leq(n0, F) & leq(F, n3))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(n0, H) & leq(H, n2))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, minus(n0, n1)))) | (a_select2(s_try7_init, I) = init))))),
% 0.62/0.64 inference(monotonicity,[status(thm)],[183])).
% 0.62/0.64 tff(185,plain,
% 0.62/0.64 ((~(![E: $i] : ((~(leq(n0, E) & leq(E, n2))) | ![F: $i] : ((~(leq(n0, F) & leq(F, n3))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(n0, H) & leq(H, n2))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, minus(n0, n1)))) | (a_select2(s_try7_init, I) = init)))) <=> (~(![E: $i] : ((~(leq(n0, E) & leq(E, n2))) | ![F: $i] : ((~(leq(n0, F) & leq(F, n3))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(n0, H) & leq(H, n2))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, minus(n0, n1)))) | (a_select2(s_try7_init, I) = init))))),
% 0.62/0.64 inference(rewrite,[status(thm)],[])).
% 0.62/0.64 tff(186,plain,
% 0.62/0.64 ((~((s_best7_init = init) & (s_sworst7_init = init) & (s_worst7_init = init) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & ![E: $i] : ((~(leq(n0, E) & leq(E, n2))) | ![F: $i] : ((~(leq(n0, F) & leq(F, n3))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(n0, H) & leq(H, n2))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, minus(n0, n1)))) | (a_select2(s_try7_init, I) = init)) & ((~gt(loopcounter, n1)) | ((pvar1400_init = init) & (pvar1401_init = init) & (pvar1402_init = init))))) <=> (~(![E: $i] : ((~(leq(n0, E) & leq(E, n2))) | ![F: $i] : ((~(leq(n0, F) & leq(F, n3))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(n0, H) & leq(H, n2))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, minus(n0, n1)))) | (a_select2(s_try7_init, I) = init))))),
% 0.62/0.64 inference(rewrite,[status(thm)],[])).
% 0.62/0.64 tff(187,plain,
% 0.62/0.64 (((s_best7_init = init) & (s_sworst7_init = init) & (s_worst7_init = init) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & ![E: $i] : ((~(leq(n0, E) & leq(E, n2))) | ![F: $i] : ((~(leq(n0, F) & leq(F, n3))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(n0, H) & leq(H, n2))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, minus(n0, n1)))) | (a_select2(s_try7_init, I) = init)) & ((~gt(loopcounter, n1)) | ((pvar1400_init = init) & (pvar1401_init = init) & (pvar1402_init = init)))) <=> ((s_best7_init = init) & (s_sworst7_init = init) & (s_worst7_init = init) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & ![E: $i] : ((~(leq(n0, E) & leq(E, n2))) | ![F: $i] : ((~(leq(n0, F) & leq(F, n3))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(n0, H) & leq(H, n2))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, minus(n0, n1)))) | (a_select2(s_try7_init, I) = init)) & ((~gt(loopcounter, n1)) | ((pvar1400_init = init) & (pvar1401_init = init) & (pvar1402_init = init))))),
% 0.62/0.64 inference(rewrite,[status(thm)],[])).
% 0.62/0.64 tff(188,plain,
% 0.62/0.64 ((~((s_best7_init = init) & (s_sworst7_init = init) & (s_worst7_init = init) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & ![E: $i] : ((~(leq(n0, E) & leq(E, n2))) | ![F: $i] : ((~(leq(n0, F) & leq(F, n3))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(n0, H) & leq(H, n2))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, minus(n0, n1)))) | (a_select2(s_try7_init, I) = init)) & ((~gt(loopcounter, n1)) | ((pvar1400_init = init) & (pvar1401_init = init) & (pvar1402_init = init))))) <=> (~((s_best7_init = init) & (s_sworst7_init = init) & (s_worst7_init = init) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & ![E: $i] : ((~(leq(n0, E) & leq(E, n2))) | ![F: $i] : ((~(leq(n0, F) & leq(F, n3))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(n0, H) & leq(H, n2))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, minus(n0, n1)))) | (a_select2(s_try7_init, I) = init)) & ((~gt(loopcounter, n1)) | ((pvar1400_init = init) & (pvar1401_init = init) & (pvar1402_init = init)))))),
% 0.62/0.64 inference(monotonicity,[status(thm)],[187])).
% 0.62/0.64 tff(189,plain,
% 0.62/0.64 (~((s_best7_init = init) & (s_sworst7_init = init) & (s_worst7_init = init) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & ![E: $i] : ((~(leq(n0, E) & leq(E, n2))) | ![F: $i] : ((~(leq(n0, F) & leq(F, n3))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(n0, H) & leq(H, n2))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, minus(n0, n1)))) | (a_select2(s_try7_init, I) = init)) & ((~gt(loopcounter, n1)) | ((pvar1400_init = init) & (pvar1401_init = init) & (pvar1402_init = init))))),
% 0.62/0.65 inference(or_elim,[status(thm)],[17])).
% 0.62/0.65 tff(190,plain,
% 0.62/0.65 (~((s_best7_init = init) & (s_sworst7_init = init) & (s_worst7_init = init) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & ![E: $i] : ((~(leq(n0, E) & leq(E, n2))) | ![F: $i] : ((~(leq(n0, F) & leq(F, n3))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(n0, H) & leq(H, n2))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, minus(n0, n1)))) | (a_select2(s_try7_init, I) = init)) & ((~gt(loopcounter, n1)) | ((pvar1400_init = init) & (pvar1401_init = init) & (pvar1402_init = init))))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[189, 188])).
% 0.62/0.65 tff(191,plain,
% 0.62/0.65 (~(![E: $i] : ((~(leq(n0, E) & leq(E, n2))) | ![F: $i] : ((~(leq(n0, F) & leq(F, n3))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(n0, H) & leq(H, n2))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, minus(n0, n1)))) | (a_select2(s_try7_init, I) = init)))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[190, 186])).
% 0.62/0.65 tff(192,plain,
% 0.62/0.65 (~(![E: $i] : ((~(leq(n0, E) & leq(E, n2))) | ![F: $i] : ((~(leq(n0, F) & leq(F, n3))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(n0, H) & leq(H, n2))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, minus(n0, n1)))) | (a_select2(s_try7_init, I) = init)))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[191, 185])).
% 0.62/0.65 tff(193,plain,
% 0.62/0.65 (~(![E: $i] : ((~(leq(n0, E) & leq(E, n2))) | ![F: $i] : ((~(leq(n0, F) & leq(F, n3))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(n0, H) & leq(H, n2))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, minus(n0, n1)))) | (a_select2(s_try7_init, I) = init)))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[192, 184])).
% 0.62/0.65 tff(194,plain,
% 0.62/0.65 (~(![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, succ(succ(succ(tptp_minus_1)))))) | ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(G, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(succ(tptp_minus_1), H) & leq(H, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(succ(tptp_minus_1), I) & leq(I, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, I) = init)))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[193, 182])).
% 0.62/0.65 tff(195,plain,
% 0.62/0.65 (~(![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, succ(succ(succ(tptp_minus_1)))))) | ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(G, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(succ(tptp_minus_1), H) & leq(H, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(succ(tptp_minus_1), I) & leq(I, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, I) = init)))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[194, 181])).
% 0.62/0.65 tff(196,plain,
% 0.62/0.65 (~(![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, succ(succ(succ(tptp_minus_1)))))) | ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(G, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(succ(tptp_minus_1), H) & leq(H, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(succ(tptp_minus_1), I) & leq(I, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, I) = init)))),
% 0.62/0.66 inference(modus_ponens,[status(thm)],[195, 181])).
% 0.62/0.66 tff(197,plain,
% 0.62/0.66 (~(![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, succ(succ(succ(tptp_minus_1)))))) | ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, F, E) = init))) & ![G: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(G, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, G) = init)) & ![H: $i] : ((~(leq(succ(tptp_minus_1), H) & leq(H, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, H) = init)) & ![I: $i] : ((~(leq(succ(tptp_minus_1), I) & leq(I, minus(succ(tptp_minus_1), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, I) = init)))),
% 0.62/0.66 inference(modus_ponens,[status(thm)],[196, 181])).
% 0.62/0.66 unexpected number of arguments: (let ((a!1 (forall ((E $i))
% 0.62/0.66 (let ((a!1 (leq E (succ (succ (succ tptp_minus_1)))))
% 0.62/0.66 (a!3 (forall ((F $i))
% 0.62/0.66 (let ((a!1 (succ (succ (succ (succ tptp_minus_1))))))
% 0.62/0.66 (let ((a!2 (not (and (leq (succ tptp_minus_1) F)
% 0.62/0.66 (leq F a!1)))))
% 0.62/0.66 (or a!2 (= (a_select3 simplex7_init F E) init)))))))
% 0.62/0.66 (let ((a!2 (not (and (leq (succ tptp_minus_1) E) a!1))))
% 0.62/0.66 (or a!2 a!3)))))
% 0.62/0.66 (a!2 (leq E!13 (succ (succ (succ tptp_minus_1)))))
% 0.62/0.66 (a!4 (forall ((F $i))
% 0.62/0.66 (let ((a!1 (succ (succ (succ (succ tptp_minus_1))))))
% 0.62/0.66 (let ((a!2 (not (and (leq (succ tptp_minus_1) F) (leq F a!1)))))
% 0.62/0.66 (or a!2 (= (a_select3 simplex7_init F E!13) init))))))
% 0.62/0.66 (a!6 (succ (succ (succ (succ tptp_minus_1)))))
% 0.62/0.66 (a!11 (forall ((G $i))
% 0.62/0.66 (let ((a!1 (succ (succ (succ (succ tptp_minus_1))))))
% 0.62/0.66 (let ((a!2 (not (and (leq (succ tptp_minus_1) G) (leq G a!1)))))
% 0.62/0.66 (or a!2 (= (a_select2 s_values7_init G) init))))))
% 0.62/0.66 (a!14 (forall ((H $i))
% 0.62/0.66 (let ((a!1 (leq H (succ (succ (succ tptp_minus_1))))))
% 0.62/0.66 (let ((a!2 (not (and (leq (succ tptp_minus_1) H) a!1))))
% 0.62/0.66 (or a!2 (= (a_select2 s_center7_init H) init))))))
% 0.62/0.66 (a!15 (leq H!16 (succ (succ (succ tptp_minus_1)))))
% 0.62/0.66 (a!18 (forall ((I $i))
% 0.62/0.66 (let ((a!1 (leq I
% 0.62/0.66 (minus (succ tptp_minus_1)
% 0.62/0.66 (succ (succ tptp_minus_1))))))
% 0.62/0.66 (let ((a!2 (not (and (leq (succ tptp_minus_1) I) a!1))))
% 0.62/0.66 (or a!2 (= (a_select2 s_try7_init I) init))))))
% 0.62/0.66 (a!19 (leq I!17 (minus (succ tptp_minus_1) (succ (succ tptp_minus_1))))))
% 0.62/0.66 (let ((a!3 (not (and (leq (succ tptp_minus_1) E!13) a!2)))
% 0.62/0.66 (a!7 (not (and (leq (succ tptp_minus_1) F!14) (leq F!14 a!6))))
% 0.62/0.66 (a!12 (not (and (leq (succ tptp_minus_1) G!15) (leq G!15 a!6))))
% 0.62/0.66 (a!16 (not (and (leq (succ tptp_minus_1) H!16) a!15)))
% 0.62/0.66 (a!20 (not (and (leq (succ tptp_minus_1) I!17) a!19))))
% 0.62/0.66 (let ((a!5 (sk (~ (not a!1) (not (or a!3 a!4)))))
% 0.62/0.66 (a!8 (not (or a!7 (= (a_select3 simplex7_init F!14 E!13) init))))
% 0.62/0.66 (a!13 (not (or a!12 (= (a_select2 s_values7_init G!15) init))))
% 0.62/0.66 (a!17 (not (or a!16 (= (a_select2 s_center7_init H!16) init))))
% 0.62/0.66 (a!21 (not (or a!20 (= (a_select2 s_try7_init I!17) init)))))
% 0.62/0.66 (let ((a!9 (nnf-neg (refl (~ (not a!3) (not a!3)))
% 0.62/0.66 (sk (~ (not a!4) a!8))
% 0.62/0.66 (~ (not (or a!3 a!4)) (and (not a!3) a!8))))
% 0.62/0.66 (a!22 (~ (not (and a!1 a!11 a!14 a!18))
% 0.62/0.66 (or (and (not a!3) a!8) a!13 a!17 a!21))))
% 0.62/0.66 (let ((a!10 (trans a!5 a!9 (~ (not a!1) (and (not a!3) a!8)))))
% 0.62/0.66 (nnf-neg a!10
% 0.62/0.66 (sk (~ (not a!11) a!13))
% 0.62/0.66 (sk (~ (not a!14) a!17))
% 0.62/0.66 (sk (~ (not a!18) a!21))
% 0.62/0.66 a!22))))))
% 0.62/0.66 Proof display could not be completed: unexpected number of arguments
%------------------------------------------------------------------------------