TSTP Solution File: SWV024+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV024+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n022.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 15:09:41 EDT 2022
% Result : Theorem 0.62s 0.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV024+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Sep 4 01:06:39 EDT 2022
% 0.12/0.33 % 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.
% 0.62/0.63 % SZS status Theorem
% 0.62/0.63 % SZS output start Proof
% 0.62/0.63 tff(leq_type, type, (
% 0.62/0.63 leq: ( $i * $i ) > $o)).
% 0.62/0.63 tff(succ_type, type, (
% 0.62/0.63 succ: $i > $i)).
% 0.62/0.63 tff(tptp_minus_1_type, type, (
% 0.62/0.63 tptp_minus_1: $i)).
% 0.62/0.63 tff(init_type, type, (
% 0.62/0.63 init: $i)).
% 0.62/0.63 tff(a_select3_type, type, (
% 0.62/0.63 a_select3: ( $i * $i * $i ) > $i)).
% 0.62/0.63 tff(tptp_fun_F_13_type, type, (
% 0.62/0.63 tptp_fun_F_13: $i)).
% 0.62/0.63 tff(simplex7_init_type, type, (
% 0.62/0.63 simplex7_init: $i)).
% 0.62/0.63 tff(tptp_fun_G_14_type, type, (
% 0.62/0.63 tptp_fun_G_14: $i)).
% 0.62/0.63 tff(minus_type, type, (
% 0.62/0.63 minus: ( $i * $i ) > $i)).
% 0.62/0.63 tff(tptp_fun_J_17_type, type, (
% 0.62/0.63 tptp_fun_J_17: $i)).
% 0.62/0.63 tff(a_select2_type, type, (
% 0.62/0.63 a_select2: ( $i * $i ) > $i)).
% 0.62/0.63 tff(s_try7_init_type, type, (
% 0.62/0.63 s_try7_init: $i)).
% 0.62/0.63 tff(n1_type, type, (
% 0.62/0.63 n1: $i)).
% 0.62/0.63 tff(n3_type, type, (
% 0.62/0.63 n3: $i)).
% 0.62/0.63 tff(n0_type, type, (
% 0.62/0.63 n0: $i)).
% 0.62/0.63 tff(pvar1402_init_type, type, (
% 0.62/0.63 pvar1402_init: $i)).
% 0.62/0.63 tff(pvar1401_init_type, type, (
% 0.62/0.63 pvar1401_init: $i)).
% 0.62/0.63 tff(pvar1400_init_type, type, (
% 0.62/0.63 pvar1400_init: $i)).
% 0.62/0.63 tff(gt_type, type, (
% 0.62/0.63 gt: ( $i * $i ) > $o)).
% 0.62/0.63 tff(loopcounter_type, type, (
% 0.62/0.63 loopcounter: $i)).
% 0.62/0.63 tff(s_center7_init_type, type, (
% 0.62/0.63 s_center7_init: $i)).
% 0.62/0.63 tff(n2_type, type, (
% 0.62/0.63 n2: $i)).
% 0.62/0.63 tff(s_values7_init_type, type, (
% 0.62/0.63 s_values7_init: $i)).
% 0.62/0.63 tff(n330_type, type, (
% 0.62/0.63 n330: $i)).
% 0.62/0.63 tff(pv20_type, type, (
% 0.62/0.63 pv20: $i)).
% 0.62/0.63 tff(n410_type, type, (
% 0.62/0.63 n410: $i)).
% 0.62/0.63 tff(pv19_type, type, (
% 0.62/0.63 pv19: $i)).
% 0.62/0.63 tff(pv8_type, type, (
% 0.62/0.63 pv8: $i)).
% 0.62/0.63 tff(pv7_type, type, (
% 0.62/0.63 pv7: $i)).
% 0.62/0.63 tff(s_worst7_type, type, (
% 0.62/0.63 s_worst7: $i)).
% 0.62/0.63 tff(s_sworst7_type, type, (
% 0.62/0.63 s_sworst7: $i)).
% 0.62/0.63 tff(s_best7_type, type, (
% 0.62/0.63 s_best7: $i)).
% 0.62/0.63 tff(s_worst7_init_type, type, (
% 0.62/0.63 s_worst7_init: $i)).
% 0.62/0.63 tff(s_sworst7_init_type, type, (
% 0.62/0.63 s_sworst7_init: $i)).
% 0.62/0.63 tff(s_best7_init_type, type, (
% 0.62/0.63 s_best7_init: $i)).
% 0.62/0.63 tff(tptp_fun_I_16_type, type, (
% 0.62/0.63 tptp_fun_I_16: $i)).
% 0.62/0.63 tff(tptp_fun_H_15_type, type, (
% 0.62/0.63 tptp_fun_H_15: $i)).
% 0.62/0.63 tff(pred_type, type, (
% 0.62/0.63 pred: $i > $i)).
% 0.62/0.63 tff(1,assumption,(~((a_select2(s_try7_init, J!17) = init) | (~leq(succ(tptp_minus_1), J!17)) | (~leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))), introduced(assumption)).
% 0.62/0.63 tff(2,plain,
% 0.62/0.63 (((a_select2(s_try7_init, J!17) = init) | (~leq(succ(tptp_minus_1), J!17)) | (~leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))),
% 0.62/0.63 inference(tautology,[status(thm)],[])).
% 0.62/0.63 tff(3,plain,
% 0.62/0.63 (leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))),
% 0.62/0.63 inference(unit_resolution,[status(thm)],[2, 1])).
% 0.62/0.63 tff(4,plain,
% 0.62/0.63 (((a_select2(s_try7_init, J!17) = init) | (~leq(succ(tptp_minus_1), J!17)) | (~leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | leq(succ(tptp_minus_1), J!17)),
% 0.62/0.63 inference(tautology,[status(thm)],[])).
% 0.62/0.63 tff(5,plain,
% 0.62/0.63 (leq(succ(tptp_minus_1), J!17)),
% 0.62/0.63 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.62/0.63 tff(6,plain,
% 0.62/0.63 (((a_select2(s_try7_init, J!17) = init) | (~leq(succ(tptp_minus_1), J!17)) | (~leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (~(a_select2(s_try7_init, J!17) = init))),
% 0.62/0.63 inference(tautology,[status(thm)],[])).
% 0.62/0.63 tff(7,plain,
% 0.62/0.63 (~(a_select2(s_try7_init, J!17) = init)),
% 0.62/0.63 inference(unit_resolution,[status(thm)],[6, 1])).
% 0.62/0.63 tff(8,plain,
% 0.62/0.63 (^[E: $i] : refl(((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) <=> ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))))),
% 0.62/0.63 inference(bind,[status(th)],[])).
% 0.62/0.63 tff(9,plain,
% 0.62/0.63 (![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) <=> ![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))),
% 0.62/0.63 inference(quant_intro,[status(thm)],[8])).
% 0.62/0.63 tff(10,plain,
% 0.62/0.63 (^[E: $i] : trans(monotonicity(trans(monotonicity(rewrite((leq(succ(tptp_minus_1), E) & leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))) <=> (~((~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))))), ((~(leq(succ(tptp_minus_1), E) & leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) <=> (~(~((~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))))))), rewrite((~(~((~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))))) <=> ((~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))), ((~(leq(succ(tptp_minus_1), E) & leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) <=> ((~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))))), (((~(leq(succ(tptp_minus_1), E) & leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, E) = init)) <=> (((~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, E) = init)))), rewrite((((~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, E) = init)) <=> ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))), (((~(leq(succ(tptp_minus_1), E) & leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, E) = init)) <=> ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))))),
% 0.62/0.63 inference(bind,[status(th)],[])).
% 0.62/0.63 tff(11,plain,
% 0.62/0.63 (![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, E) = init)) <=> ![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))),
% 0.62/0.63 inference(quant_intro,[status(thm)],[10])).
% 0.62/0.63 tff(12,plain,
% 0.62/0.63 (^[E: $i] : rewrite(((~(leq(n0, E) & leq(E, minus(n3, n1)))) | (a_select2(s_try7_init, E) = init)) <=> ((~(leq(succ(tptp_minus_1), E) & leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, E) = init)))),
% 0.62/0.63 inference(bind,[status(th)],[])).
% 0.62/0.63 tff(13,plain,
% 0.62/0.63 (![E: $i] : ((~(leq(n0, E) & leq(E, minus(n3, n1)))) | (a_select2(s_try7_init, E) = init)) <=> ![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, E) = init))),
% 0.62/0.63 inference(quant_intro,[status(thm)],[12])).
% 0.62/0.63 tff(14,plain,
% 0.62/0.63 (![E: $i] : ((~(leq(n0, E) & leq(E, minus(n3, n1)))) | (a_select2(s_try7_init, E) = init)) <=> ![E: $i] : ((~(leq(n0, E) & leq(E, minus(n3, n1)))) | (a_select2(s_try7_init, E) = init))),
% 0.62/0.63 inference(rewrite,[status(thm)],[])).
% 0.62/0.63 tff(15,plain,
% 0.62/0.63 ((~((((((((((((((((((((((((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(n0, pv7)) & leq(n0, pv8)) & leq(n0, pv19)) & leq(n0, pv20)) & leq(s_best7, n3)) & leq(s_sworst7, n3)) & leq(s_worst7, n3)) & leq(pv7, minus(n410, n1))) & leq(pv8, minus(n330, n1))) & leq(pv19, minus(n410, n1))) & leq(pv20, minus(n330, n1))) & ![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))) & ![E: $i] : ((leq(n0, E) & leq(E, minus(n3, n1))) => (a_select2(s_try7_init, E) = init))) & (gt(loopcounter, n1) => (((pvar1400_init = init) & (pvar1401_init = init)) & (pvar1402_init = init)))) => ((((((((((((((((((((((((init = init) & (s_best7_init = init)) & (s_sworst7_init = init)) & (s_worst7_init = init)) & (a_select2(s_try7_init, n0) = init)) & (a_select2(s_try7_init, n1) = init)) & (a_select2(s_try7_init, n2) = init)) & leq(n0, s_best7)) & leq(n0, s_sworst7)) & leq(n0, s_worst7)) & leq(n0, pv7)) & leq(n0, pv19)) & leq(n0, pv20)) & leq(s_best7, n3)) & leq(s_sworst7, n3)) & leq(s_worst7, n3)) & leq(pv7, minus(n410, n1))) & leq(pv19, minus(n410, n1))) & leq(pv20, minus(n330, n1))) & ![F: $i] : ((leq(n0, F) & leq(F, n2)) => ![G: $i] : ((leq(n0, G) & leq(G, n3)) => (a_select3(simplex7_init, G, F) = init)))) & ![H: $i] : ((leq(n0, H) & leq(H, n3)) => (a_select2(s_values7_init, H) = init))) & ![I: $i] : ((leq(n0, I) & leq(I, n2)) => (a_select2(s_center7_init, I) = init))) & ![J: $i] : ((leq(n0, J) & leq(J, minus(n3, n1))) => (a_select2(s_try7_init, J) = 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(n0, pv7) & leq(n0, pv8) & leq(n0, pv19) & leq(n0, pv20) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv7, minus(n410, n1)) & leq(pv8, minus(n330, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & ![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)) & ![E: $i] : ((~(leq(n0, E) & leq(E, minus(n3, n1)))) | (a_select2(s_try7_init, E) = 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) & (a_select2(s_try7_init, n0) = init) & (a_select2(s_try7_init, n1) = init) & (a_select2(s_try7_init, n2) = init) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(n0, pv7) & leq(n0, pv19) & leq(n0, pv20) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv7, minus(n410, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & ![F: $i] : ((~(leq(n0, F) & leq(F, n2))) | ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(n0, H) & leq(H, n3))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, n2))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(n0, J) & leq(J, minus(n3, n1)))) | (a_select2(s_try7_init, J) = 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(16,axiom,(~((((((((((((((((((((((((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(n0, pv7)) & leq(n0, pv8)) & leq(n0, pv19)) & leq(n0, pv20)) & leq(s_best7, n3)) & leq(s_sworst7, n3)) & leq(s_worst7, n3)) & leq(pv7, minus(n410, n1))) & leq(pv8, minus(n330, n1))) & leq(pv19, minus(n410, n1))) & leq(pv20, minus(n330, n1))) & ![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))) & ![E: $i] : ((leq(n0, E) & leq(E, minus(n3, n1))) => (a_select2(s_try7_init, E) = init))) & (gt(loopcounter, n1) => (((pvar1400_init = init) & (pvar1401_init = init)) & (pvar1402_init = init)))) => ((((((((((((((((((((((((init = init) & (s_best7_init = init)) & (s_sworst7_init = init)) & (s_worst7_init = init)) & (a_select2(s_try7_init, n0) = init)) & (a_select2(s_try7_init, n1) = init)) & (a_select2(s_try7_init, n2) = init)) & leq(n0, s_best7)) & leq(n0, s_sworst7)) & leq(n0, s_worst7)) & leq(n0, pv7)) & leq(n0, pv19)) & leq(n0, pv20)) & leq(s_best7, n3)) & leq(s_sworst7, n3)) & leq(s_worst7, n3)) & leq(pv7, minus(n410, n1))) & leq(pv19, minus(n410, n1))) & leq(pv20, minus(n330, n1))) & ![F: $i] : ((leq(n0, F) & leq(F, n2)) => ![G: $i] : ((leq(n0, G) & leq(G, n3)) => (a_select3(simplex7_init, G, F) = init)))) & ![H: $i] : ((leq(n0, H) & leq(H, n3)) => (a_select2(s_values7_init, H) = init))) & ![I: $i] : ((leq(n0, I) & leq(I, n2)) => (a_select2(s_center7_init, I) = init))) & ![J: $i] : ((leq(n0, J) & leq(J, minus(n3, n1))) => (a_select2(s_try7_init, J) = init))) & (gt(loopcounter, n1) => (((pvar1400_init = init) & (pvar1401_init = init)) & (pvar1402_init = init)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gauss_init_0009')).
% 0.62/0.64 tff(17,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(n0, pv7) & leq(n0, pv8) & leq(n0, pv19) & leq(n0, pv20) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv7, minus(n410, n1)) & leq(pv8, minus(n330, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & ![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)) & ![E: $i] : ((~(leq(n0, E) & leq(E, minus(n3, n1)))) | (a_select2(s_try7_init, E) = 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) & (a_select2(s_try7_init, n0) = init) & (a_select2(s_try7_init, n1) = init) & (a_select2(s_try7_init, n2) = init) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(n0, pv7) & leq(n0, pv19) & leq(n0, pv20) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv7, minus(n410, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & ![F: $i] : ((~(leq(n0, F) & leq(F, n2))) | ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(n0, H) & leq(H, n3))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, n2))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(n0, J) & leq(J, minus(n3, n1)))) | (a_select2(s_try7_init, J) = init)) & ((~gt(loopcounter, n1)) | ((pvar1400_init = init) & (pvar1401_init = init) & (pvar1402_init = init)))))),
% 0.62/0.64 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.62/0.64 tff(18,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(n0, pv7) & leq(n0, pv8) & leq(n0, pv19) & leq(n0, pv20) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv7, minus(n410, n1)) & leq(pv8, minus(n330, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & ![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)) & ![E: $i] : ((~(leq(n0, E) & leq(E, minus(n3, n1)))) | (a_select2(s_try7_init, E) = init)) & ((~gt(loopcounter, n1)) | ((pvar1400_init = init) & (pvar1401_init = init) & (pvar1402_init = init)))),
% 0.62/0.64 inference(or_elim,[status(thm)],[17])).
% 0.62/0.64 tff(19,plain,
% 0.62/0.64 (![E: $i] : ((~(leq(n0, E) & leq(E, minus(n3, n1)))) | (a_select2(s_try7_init, E) = init))),
% 0.62/0.64 inference(and_elim,[status(thm)],[18])).
% 0.62/0.64 tff(20,plain,
% 0.62/0.64 (![E: $i] : ((~(leq(n0, E) & leq(E, minus(n3, n1)))) | (a_select2(s_try7_init, E) = init))),
% 0.62/0.64 inference(modus_ponens,[status(thm)],[19, 14])).
% 0.62/0.64 tff(21,plain,
% 0.62/0.64 (![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, E) = init))),
% 0.62/0.64 inference(modus_ponens,[status(thm)],[20, 13])).
% 0.62/0.64 tff(22,plain,(
% 0.62/0.64 ![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, E) = init))),
% 0.62/0.64 inference(skolemize,[status(sab)],[21])).
% 0.62/0.64 tff(23,plain,
% 0.62/0.64 (![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))),
% 0.62/0.64 inference(modus_ponens,[status(thm)],[22, 11])).
% 0.62/0.64 tff(24,plain,
% 0.62/0.64 (![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))),
% 0.62/0.64 inference(modus_ponens,[status(thm)],[23, 9])).
% 0.62/0.64 tff(25,plain,
% 0.62/0.64 (((~![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) | ((a_select2(s_try7_init, J!17) = init) | (~leq(succ(tptp_minus_1), J!17)) | (~leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) <=> ((~![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) | (a_select2(s_try7_init, J!17) = init) | (~leq(succ(tptp_minus_1), J!17)) | (~leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))),
% 0.62/0.64 inference(rewrite,[status(thm)],[])).
% 0.62/0.64 tff(26,plain,
% 0.62/0.64 ((~![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) | ((a_select2(s_try7_init, J!17) = init) | (~leq(succ(tptp_minus_1), J!17)) | (~leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))),
% 0.62/0.64 inference(quant_inst,[status(thm)],[])).
% 0.62/0.64 tff(27,plain,
% 0.62/0.64 ((~![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) | (a_select2(s_try7_init, J!17) = init) | (~leq(succ(tptp_minus_1), J!17)) | (~leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))),
% 0.62/0.64 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.62/0.64 tff(28,plain,
% 0.62/0.64 ($false),
% 0.62/0.64 inference(unit_resolution,[status(thm)],[27, 24, 7, 5, 3])).
% 0.62/0.64 tff(29,plain,((a_select2(s_try7_init, J!17) = init) | (~leq(succ(tptp_minus_1), J!17)) | (~leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))), inference(lemma,lemma(discharge,[]))).
% 0.62/0.64 tff(30,assumption,(~((a_select2(s_center7_init, I!16) = init) | (~leq(succ(tptp_minus_1), I!16)) | (~leq(I!16, succ(succ(succ(tptp_minus_1))))))), introduced(assumption)).
% 0.62/0.64 tff(31,plain,
% 0.62/0.64 (((a_select2(s_center7_init, I!16) = init) | (~leq(succ(tptp_minus_1), I!16)) | (~leq(I!16, succ(succ(succ(tptp_minus_1)))))) | leq(I!16, succ(succ(succ(tptp_minus_1))))),
% 0.62/0.64 inference(tautology,[status(thm)],[])).
% 0.62/0.64 tff(32,plain,
% 0.62/0.64 (leq(I!16, succ(succ(succ(tptp_minus_1))))),
% 0.62/0.64 inference(unit_resolution,[status(thm)],[31, 30])).
% 0.62/0.64 tff(33,plain,
% 0.62/0.64 (((a_select2(s_center7_init, I!16) = init) | (~leq(succ(tptp_minus_1), I!16)) | (~leq(I!16, succ(succ(succ(tptp_minus_1)))))) | leq(succ(tptp_minus_1), I!16)),
% 0.62/0.64 inference(tautology,[status(thm)],[])).
% 0.62/0.64 tff(34,plain,
% 0.62/0.64 (leq(succ(tptp_minus_1), I!16)),
% 0.62/0.64 inference(unit_resolution,[status(thm)],[33, 30])).
% 0.62/0.64 tff(35,plain,
% 0.62/0.64 (((a_select2(s_center7_init, I!16) = init) | (~leq(succ(tptp_minus_1), I!16)) | (~leq(I!16, succ(succ(succ(tptp_minus_1)))))) | (~(a_select2(s_center7_init, I!16) = init))),
% 0.62/0.64 inference(tautology,[status(thm)],[])).
% 0.62/0.64 tff(36,plain,
% 0.62/0.64 (~(a_select2(s_center7_init, I!16) = init)),
% 0.62/0.64 inference(unit_resolution,[status(thm)],[35, 30])).
% 0.62/0.64 tff(37,plain,
% 0.62/0.64 (^[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)))))))),
% 0.62/0.64 inference(bind,[status(th)],[])).
% 0.62/0.64 tff(38,plain,
% 0.62/0.64 (![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))))))),
% 0.62/0.64 inference(quant_intro,[status(thm)],[37])).
% 0.62/0.64 tff(39,plain,
% 0.62/0.64 (^[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))))))))),
% 0.62/0.64 inference(bind,[status(th)],[])).
% 0.62/0.64 tff(40,plain,
% 0.62/0.64 (![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))))))),
% 0.62/0.65 inference(quant_intro,[status(thm)],[39])).
% 0.62/0.65 tff(41,plain,
% 0.62/0.65 (^[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)))),
% 0.62/0.65 inference(bind,[status(th)],[])).
% 0.62/0.65 tff(42,plain,
% 0.62/0.65 (![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))),
% 0.62/0.65 inference(quant_intro,[status(thm)],[41])).
% 0.62/0.65 tff(43,plain,
% 0.62/0.65 (![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))),
% 0.62/0.65 inference(rewrite,[status(thm)],[])).
% 0.62/0.65 tff(44,plain,
% 0.62/0.65 (![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | (a_select2(s_center7_init, D) = init))),
% 0.62/0.65 inference(and_elim,[status(thm)],[18])).
% 0.62/0.65 tff(45,plain,
% 0.62/0.65 (![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | (a_select2(s_center7_init, D) = init))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.62/0.65 tff(46,plain,
% 0.62/0.65 (![D: $i] : ((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, D) = init))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[45, 42])).
% 0.62/0.65 tff(47,plain,(
% 0.62/0.65 ![D: $i] : ((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, D) = init))),
% 0.62/0.65 inference(skolemize,[status(sab)],[46])).
% 0.62/0.65 tff(48,plain,
% 0.62/0.65 (![D: $i] : ((a_select2(s_center7_init, D) = init) | (~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1))))))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[47, 40])).
% 0.62/0.65 tff(49,plain,
% 0.62/0.65 (![D: $i] : ((a_select2(s_center7_init, D) = init) | (~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1))))))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[48, 38])).
% 0.62/0.65 tff(50,plain,
% 0.62/0.65 (((~![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, I!16) = init) | (~leq(succ(tptp_minus_1), I!16)) | (~leq(I!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, I!16) = init) | (~leq(succ(tptp_minus_1), I!16)) | (~leq(I!16, succ(succ(succ(tptp_minus_1))))))),
% 0.62/0.65 inference(rewrite,[status(thm)],[])).
% 0.62/0.65 tff(51,plain,
% 0.62/0.65 ((~![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, I!16) = init) | (~leq(succ(tptp_minus_1), I!16)) | (~leq(I!16, succ(succ(succ(tptp_minus_1))))))),
% 0.62/0.65 inference(quant_inst,[status(thm)],[])).
% 0.62/0.65 tff(52,plain,
% 0.62/0.65 ((~![D: $i] : ((a_select2(s_center7_init, D) = init) | (~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_center7_init, I!16) = init) | (~leq(succ(tptp_minus_1), I!16)) | (~leq(I!16, succ(succ(succ(tptp_minus_1)))))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.62/0.65 tff(53,plain,
% 0.62/0.65 ($false),
% 0.62/0.65 inference(unit_resolution,[status(thm)],[52, 49, 36, 34, 32])).
% 0.62/0.65 tff(54,plain,((a_select2(s_center7_init, I!16) = init) | (~leq(succ(tptp_minus_1), I!16)) | (~leq(I!16, succ(succ(succ(tptp_minus_1)))))), inference(lemma,lemma(discharge,[]))).
% 0.62/0.65 tff(55,assumption,(~((a_select2(s_values7_init, H!15) = init) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(H!15, succ(succ(succ(succ(tptp_minus_1)))))))), introduced(assumption)).
% 0.62/0.65 tff(56,plain,
% 0.62/0.65 (((a_select2(s_values7_init, H!15) = init) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(H!15, succ(succ(succ(succ(tptp_minus_1))))))) | leq(H!15, succ(succ(succ(succ(tptp_minus_1)))))),
% 0.62/0.65 inference(tautology,[status(thm)],[])).
% 0.62/0.65 tff(57,plain,
% 0.62/0.65 (leq(H!15, succ(succ(succ(succ(tptp_minus_1)))))),
% 0.62/0.65 inference(unit_resolution,[status(thm)],[56, 55])).
% 0.62/0.65 tff(58,plain,
% 0.62/0.65 (((a_select2(s_values7_init, H!15) = init) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(H!15, succ(succ(succ(succ(tptp_minus_1))))))) | leq(succ(tptp_minus_1), H!15)),
% 0.62/0.65 inference(tautology,[status(thm)],[])).
% 0.62/0.65 tff(59,plain,
% 0.62/0.65 (leq(succ(tptp_minus_1), H!15)),
% 0.62/0.65 inference(unit_resolution,[status(thm)],[58, 55])).
% 0.62/0.65 tff(60,plain,
% 0.62/0.65 (((a_select2(s_values7_init, H!15) = init) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(H!15, succ(succ(succ(succ(tptp_minus_1))))))) | (~(a_select2(s_values7_init, H!15) = init))),
% 0.62/0.65 inference(tautology,[status(thm)],[])).
% 0.62/0.65 tff(61,plain,
% 0.62/0.65 (~(a_select2(s_values7_init, H!15) = init)),
% 0.62/0.65 inference(unit_resolution,[status(thm)],[60, 55])).
% 0.62/0.65 tff(62,plain,
% 0.62/0.65 (^[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))))))))),
% 0.62/0.65 inference(bind,[status(th)],[])).
% 0.62/0.65 tff(63,plain,
% 0.62/0.65 (![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)))))))),
% 0.62/0.65 inference(quant_intro,[status(thm)],[62])).
% 0.62/0.65 tff(64,plain,
% 0.62/0.65 (^[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)))))))))),
% 0.62/0.65 inference(bind,[status(th)],[])).
% 0.62/0.65 tff(65,plain,
% 0.62/0.65 (![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)))))))),
% 0.62/0.65 inference(quant_intro,[status(thm)],[64])).
% 0.62/0.65 tff(66,plain,
% 0.62/0.65 (^[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)))),
% 0.62/0.65 inference(bind,[status(th)],[])).
% 0.62/0.65 tff(67,plain,
% 0.62/0.65 (![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))),
% 0.62/0.65 inference(quant_intro,[status(thm)],[66])).
% 0.62/0.65 tff(68,plain,
% 0.62/0.65 (![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))),
% 0.62/0.65 inference(rewrite,[status(thm)],[])).
% 0.62/0.65 tff(69,plain,
% 0.62/0.65 (![C: $i] : ((~(leq(n0, C) & leq(C, n3))) | (a_select2(s_values7_init, C) = init))),
% 0.62/0.65 inference(and_elim,[status(thm)],[18])).
% 0.62/0.65 tff(70,plain,
% 0.62/0.65 (![C: $i] : ((~(leq(n0, C) & leq(C, n3))) | (a_select2(s_values7_init, C) = init))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.62/0.65 tff(71,plain,
% 0.62/0.65 (![C: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(C, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, C) = init))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[70, 67])).
% 0.62/0.65 tff(72,plain,(
% 0.62/0.65 ![C: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(C, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, C) = init))),
% 0.62/0.65 inference(skolemize,[status(sab)],[71])).
% 0.62/0.65 tff(73,plain,
% 0.62/0.65 (![C: $i] : ((a_select2(s_values7_init, C) = init) | (~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[72, 65])).
% 0.62/0.65 tff(74,plain,
% 0.62/0.65 (![C: $i] : ((a_select2(s_values7_init, C) = init) | (~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[73, 63])).
% 0.62/0.65 tff(75,plain,
% 0.62/0.65 (((~![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, H!15) = init) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(H!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, H!15) = init) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(H!15, succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.62/0.65 inference(rewrite,[status(thm)],[])).
% 0.62/0.65 tff(76,plain,
% 0.62/0.65 ((~![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, H!15) = init) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(H!15, succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.62/0.65 inference(quant_inst,[status(thm)],[])).
% 0.62/0.65 tff(77,plain,
% 0.62/0.65 ((~![C: $i] : ((a_select2(s_values7_init, C) = init) | (~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1)))))))) | (a_select2(s_values7_init, H!15) = init) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(H!15, succ(succ(succ(succ(tptp_minus_1))))))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.62/0.65 tff(78,plain,
% 0.62/0.65 ($false),
% 0.62/0.65 inference(unit_resolution,[status(thm)],[77, 74, 61, 59, 57])).
% 0.62/0.65 tff(79,plain,((a_select2(s_values7_init, H!15) = init) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(H!15, succ(succ(succ(succ(tptp_minus_1))))))), inference(lemma,lemma(discharge,[]))).
% 0.62/0.65 tff(80,plain,
% 0.62/0.65 (![X: $i] : (pred(succ(X)) = X) <=> ![X: $i] : (pred(succ(X)) = X)),
% 0.62/0.65 inference(rewrite,[status(thm)],[])).
% 0.62/0.65 tff(81,plain,
% 0.62/0.65 (![X: $i] : (pred(succ(X)) = X) <=> ![X: $i] : (pred(succ(X)) = X)),
% 0.62/0.65 inference(rewrite,[status(thm)],[])).
% 0.62/0.65 tff(82,axiom,(![X: $i] : (pred(succ(X)) = X)), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax','pred_succ')).
% 0.62/0.65 tff(83,plain,
% 0.62/0.65 (![X: $i] : (pred(succ(X)) = X)),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.62/0.65 tff(84,plain,(
% 0.62/0.65 ![X: $i] : (pred(succ(X)) = X)),
% 0.62/0.65 inference(skolemize,[status(sab)],[83])).
% 0.62/0.65 tff(85,plain,
% 0.62/0.65 (![X: $i] : (pred(succ(X)) = X)),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[84, 80])).
% 0.62/0.65 tff(86,plain,
% 0.62/0.65 ((~![X: $i] : (pred(succ(X)) = X)) | (pred(succ(succ(succ(succ(tptp_minus_1))))) = succ(succ(succ(tptp_minus_1))))),
% 0.62/0.65 inference(quant_inst,[status(thm)],[])).
% 0.62/0.65 tff(87,plain,
% 0.62/0.65 (pred(succ(succ(succ(succ(tptp_minus_1))))) = succ(succ(succ(tptp_minus_1)))),
% 0.62/0.65 inference(unit_resolution,[status(thm)],[86, 85])).
% 0.62/0.65 tff(88,plain,
% 0.62/0.65 (^[X: $i] : refl((minus(X, succ(succ(tptp_minus_1))) = pred(X)) <=> (minus(X, succ(succ(tptp_minus_1))) = pred(X)))),
% 0.62/0.65 inference(bind,[status(th)],[])).
% 0.62/0.65 tff(89,plain,
% 0.62/0.65 (![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X)) <=> ![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.62/0.65 inference(quant_intro,[status(thm)],[88])).
% 0.62/0.65 tff(90,plain,
% 0.62/0.65 (^[X: $i] : rewrite((minus(X, n1) = pred(X)) <=> (minus(X, succ(succ(tptp_minus_1))) = pred(X)))),
% 0.62/0.65 inference(bind,[status(th)],[])).
% 0.62/0.65 tff(91,plain,
% 0.62/0.65 (![X: $i] : (minus(X, n1) = pred(X)) <=> ![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.62/0.65 inference(quant_intro,[status(thm)],[90])).
% 0.62/0.65 tff(92,plain,
% 0.62/0.65 (![X: $i] : (minus(X, n1) = pred(X)) <=> ![X: $i] : (minus(X, n1) = pred(X))),
% 0.62/0.65 inference(rewrite,[status(thm)],[])).
% 0.62/0.65 tff(93,axiom,(![X: $i] : (minus(X, n1) = pred(X))), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax','pred_minus_1')).
% 0.62/0.65 tff(94,plain,
% 0.62/0.65 (![X: $i] : (minus(X, n1) = pred(X))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.62/0.65 tff(95,plain,
% 0.62/0.65 (![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[94, 91])).
% 0.62/0.65 tff(96,plain,(
% 0.62/0.65 ![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.62/0.65 inference(skolemize,[status(sab)],[95])).
% 0.62/0.65 tff(97,plain,
% 0.62/0.65 (![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[96, 89])).
% 0.62/0.65 tff(98,plain,
% 0.62/0.65 ((~![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))) | (minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))) = pred(succ(succ(succ(succ(tptp_minus_1))))))),
% 0.62/0.65 inference(quant_inst,[status(thm)],[])).
% 0.62/0.65 tff(99,plain,
% 0.62/0.65 (minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))) = pred(succ(succ(succ(succ(tptp_minus_1)))))),
% 0.62/0.65 inference(unit_resolution,[status(thm)],[98, 97])).
% 0.62/0.65 tff(100,plain,
% 0.62/0.65 (minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))) = succ(succ(succ(tptp_minus_1)))),
% 0.62/0.65 inference(transitivity,[status(thm)],[99, 87])).
% 0.62/0.65 tff(101,plain,
% 0.62/0.65 (leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))) <=> leq(succ(succ(tptp_minus_1)), succ(succ(succ(tptp_minus_1))))),
% 0.62/0.65 inference(monotonicity,[status(thm)],[100])).
% 0.62/0.65 tff(102,plain,
% 0.62/0.65 (leq(succ(succ(tptp_minus_1)), succ(succ(succ(tptp_minus_1)))) <=> leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))),
% 0.62/0.65 inference(symmetry,[status(thm)],[101])).
% 0.62/0.65 tff(103,plain,
% 0.62/0.65 (gt(n2, n1) <=> gt(succ(succ(succ(tptp_minus_1))), succ(succ(tptp_minus_1)))),
% 0.62/0.65 inference(rewrite,[status(thm)],[])).
% 0.62/0.65 tff(104,plain,
% 0.62/0.65 (gt(n2, n1) <=> gt(n2, n1)),
% 0.62/0.65 inference(rewrite,[status(thm)],[])).
% 0.62/0.65 tff(105,axiom,(gt(n2, n1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_2_1')).
% 0.62/0.65 tff(106,plain,
% 0.62/0.65 (gt(n2, n1)),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.62/0.65 tff(107,plain,
% 0.62/0.65 (gt(succ(succ(succ(tptp_minus_1))), succ(succ(tptp_minus_1)))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[106, 103])).
% 0.62/0.65 tff(108,plain,
% 0.62/0.65 (^[X: $i, Y: $i] : refl(((~gt(Y, X)) | leq(X, Y)) <=> ((~gt(Y, X)) | leq(X, Y)))),
% 0.62/0.65 inference(bind,[status(th)],[])).
% 0.62/0.65 tff(109,plain,
% 0.62/0.65 (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y)) <=> ![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.62/0.65 inference(quant_intro,[status(thm)],[108])).
% 0.62/0.65 tff(110,plain,
% 0.62/0.65 (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y)) <=> ![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.62/0.65 inference(rewrite,[status(thm)],[])).
% 0.62/0.65 tff(111,plain,
% 0.62/0.65 (^[X: $i, Y: $i] : rewrite((gt(Y, X) => leq(X, Y)) <=> ((~gt(Y, X)) | leq(X, Y)))),
% 0.62/0.65 inference(bind,[status(th)],[])).
% 0.62/0.65 tff(112,plain,
% 0.62/0.65 (![X: $i, Y: $i] : (gt(Y, X) => leq(X, Y)) <=> ![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.62/0.65 inference(quant_intro,[status(thm)],[111])).
% 0.62/0.65 tff(113,axiom,(![X: $i, Y: $i] : (gt(Y, X) => leq(X, Y))), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax','leq_gt1')).
% 0.62/0.65 tff(114,plain,
% 0.62/0.65 (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.62/0.65 tff(115,plain,
% 0.62/0.65 (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[114, 110])).
% 0.62/0.65 tff(116,plain,(
% 0.62/0.65 ![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.62/0.65 inference(skolemize,[status(sab)],[115])).
% 0.62/0.65 tff(117,plain,
% 0.62/0.65 (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[116, 109])).
% 0.62/0.65 tff(118,plain,
% 0.62/0.65 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(tptp_minus_1))), succ(succ(tptp_minus_1)))) | leq(succ(succ(tptp_minus_1)), succ(succ(succ(tptp_minus_1)))))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(tptp_minus_1))), succ(succ(tptp_minus_1)))) | leq(succ(succ(tptp_minus_1)), succ(succ(succ(tptp_minus_1)))))),
% 0.62/0.65 inference(rewrite,[status(thm)],[])).
% 0.62/0.65 tff(119,plain,
% 0.62/0.65 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(tptp_minus_1))), succ(succ(tptp_minus_1)))) | leq(succ(succ(tptp_minus_1)), succ(succ(succ(tptp_minus_1)))))),
% 0.62/0.65 inference(quant_inst,[status(thm)],[])).
% 0.62/0.65 tff(120,plain,
% 0.62/0.65 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(tptp_minus_1))), succ(succ(tptp_minus_1)))) | leq(succ(succ(tptp_minus_1)), succ(succ(succ(tptp_minus_1))))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.62/0.65 tff(121,plain,
% 0.62/0.65 (leq(succ(succ(tptp_minus_1)), succ(succ(succ(tptp_minus_1))))),
% 0.62/0.65 inference(unit_resolution,[status(thm)],[120, 117, 107])).
% 0.62/0.65 tff(122,plain,
% 0.62/0.65 (leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[121, 102])).
% 0.62/0.65 tff(123,plain,
% 0.62/0.65 (gt(n1, n0) <=> gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1))),
% 0.62/0.65 inference(rewrite,[status(thm)],[])).
% 0.62/0.65 tff(124,plain,
% 0.62/0.65 (gt(n1, n0) <=> gt(n1, n0)),
% 0.62/0.65 inference(rewrite,[status(thm)],[])).
% 0.62/0.65 tff(125,axiom,(gt(n1, n0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_1_0')).
% 0.62/0.65 tff(126,plain,
% 0.62/0.65 (gt(n1, n0)),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[125, 124])).
% 0.62/0.65 tff(127,plain,
% 0.62/0.65 (gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[126, 123])).
% 0.62/0.65 tff(128,plain,
% 0.62/0.65 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(tptp_minus_1))))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(tptp_minus_1))))),
% 0.62/0.65 inference(rewrite,[status(thm)],[])).
% 0.62/0.65 tff(129,plain,
% 0.62/0.65 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(tptp_minus_1))))),
% 0.62/0.65 inference(quant_inst,[status(thm)],[])).
% 0.62/0.65 tff(130,plain,
% 0.62/0.65 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(tptp_minus_1)))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[129, 128])).
% 0.62/0.65 tff(131,plain,
% 0.62/0.65 (leq(succ(tptp_minus_1), succ(succ(tptp_minus_1)))),
% 0.62/0.65 inference(unit_resolution,[status(thm)],[130, 117, 127])).
% 0.62/0.65 tff(132,plain,
% 0.62/0.65 (((~![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) | ((a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init) | (~leq(succ(tptp_minus_1), succ(succ(tptp_minus_1)))) | (~leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) <=> ((~![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) | (a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init) | (~leq(succ(tptp_minus_1), succ(succ(tptp_minus_1)))) | (~leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))),
% 0.62/0.65 inference(rewrite,[status(thm)],[])).
% 0.62/0.65 tff(133,plain,
% 0.62/0.65 ((~![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) | ((a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init) | (~leq(succ(tptp_minus_1), succ(succ(tptp_minus_1)))) | (~leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))),
% 0.62/0.65 inference(quant_inst,[status(thm)],[])).
% 0.62/0.65 tff(134,plain,
% 0.62/0.65 ((~![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) | (a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init) | (~leq(succ(tptp_minus_1), succ(succ(tptp_minus_1)))) | (~leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[133, 132])).
% 0.62/0.65 tff(135,plain,
% 0.62/0.65 ((a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init) | (~leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))),
% 0.62/0.65 inference(unit_resolution,[status(thm)],[134, 24, 131])).
% 0.62/0.65 tff(136,plain,
% 0.62/0.65 (a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init),
% 0.62/0.65 inference(unit_resolution,[status(thm)],[135, 122])).
% 0.62/0.65 tff(137,plain,
% 0.62/0.65 (leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))) <=> leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1))))),
% 0.62/0.65 inference(monotonicity,[status(thm)],[100])).
% 0.62/0.65 tff(138,plain,
% 0.62/0.65 (leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1)))) <=> leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))),
% 0.62/0.65 inference(symmetry,[status(thm)],[137])).
% 0.62/0.65 tff(139,plain,
% 0.62/0.65 (gt(n2, n0) <=> gt(succ(succ(succ(tptp_minus_1))), succ(tptp_minus_1))),
% 0.62/0.65 inference(rewrite,[status(thm)],[])).
% 0.62/0.65 tff(140,plain,
% 0.62/0.65 (gt(n2, n0) <=> gt(n2, n0)),
% 0.62/0.65 inference(rewrite,[status(thm)],[])).
% 0.62/0.65 tff(141,axiom,(gt(n2, n0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_2_0')).
% 0.62/0.65 tff(142,plain,
% 0.62/0.65 (gt(n2, n0)),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[141, 140])).
% 0.62/0.65 tff(143,plain,
% 0.62/0.65 (gt(succ(succ(succ(tptp_minus_1))), succ(tptp_minus_1))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[142, 139])).
% 0.62/0.65 tff(144,plain,
% 0.62/0.65 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(tptp_minus_1))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1)))))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(tptp_minus_1))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1)))))),
% 0.62/0.65 inference(rewrite,[status(thm)],[])).
% 0.62/0.65 tff(145,plain,
% 0.62/0.65 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(tptp_minus_1))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1)))))),
% 0.62/0.65 inference(quant_inst,[status(thm)],[])).
% 0.62/0.65 tff(146,plain,
% 0.62/0.65 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(tptp_minus_1))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1))))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.62/0.65 tff(147,plain,
% 0.62/0.65 (leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1))))),
% 0.62/0.65 inference(unit_resolution,[status(thm)],[146, 117, 143])).
% 0.62/0.65 tff(148,plain,
% 0.62/0.65 (leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[147, 138])).
% 0.62/0.65 tff(149,plain,
% 0.62/0.65 (^[X: $i, Y: $i] : refl((leq(X, Y) <=> gt(succ(Y), X)) <=> (leq(X, Y) <=> gt(succ(Y), X)))),
% 0.62/0.65 inference(bind,[status(th)],[])).
% 0.62/0.65 tff(150,plain,
% 0.62/0.65 (![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X)) <=> ![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X))),
% 0.62/0.65 inference(quant_intro,[status(thm)],[149])).
% 0.62/0.65 tff(151,plain,
% 0.62/0.65 (![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X)) <=> ![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X))),
% 0.62/0.65 inference(rewrite,[status(thm)],[])).
% 0.62/0.65 tff(152,axiom,(![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X))), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax','leq_succ_gt_equiv')).
% 0.62/0.65 tff(153,plain,
% 0.62/0.65 (![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[152, 151])).
% 0.62/0.65 tff(154,plain,(
% 0.62/0.65 ![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X))),
% 0.62/0.65 inference(skolemize,[status(sab)],[153])).
% 0.62/0.65 tff(155,plain,
% 0.62/0.65 (![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X))),
% 0.62/0.65 inference(modus_ponens,[status(thm)],[154, 150])).
% 0.62/0.65 tff(156,plain,
% 0.62/0.65 ((~![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X))) | (leq(succ(tptp_minus_1), succ(tptp_minus_1)) <=> gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1)))),
% 0.62/0.65 inference(quant_inst,[status(thm)],[])).
% 0.62/0.65 tff(157,plain,
% 0.62/0.65 (leq(succ(tptp_minus_1), succ(tptp_minus_1)) <=> gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1))),
% 0.62/0.65 inference(unit_resolution,[status(thm)],[156, 155])).
% 0.62/0.65 tff(158,plain,
% 0.62/0.65 ((~(leq(succ(tptp_minus_1), succ(tptp_minus_1)) <=> gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1)))) | leq(succ(tptp_minus_1), succ(tptp_minus_1)) | (~gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1)))),
% 0.62/0.65 inference(tautology,[status(thm)],[])).
% 0.62/0.65 tff(159,plain,
% 0.62/0.65 ((~(leq(succ(tptp_minus_1), succ(tptp_minus_1)) <=> gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1)))) | leq(succ(tptp_minus_1), succ(tptp_minus_1))),
% 0.62/0.65 inference(unit_resolution,[status(thm)],[158, 127])).
% 0.62/0.65 tff(160,plain,
% 0.62/0.65 (leq(succ(tptp_minus_1), succ(tptp_minus_1))),
% 0.62/0.65 inference(unit_resolution,[status(thm)],[159, 157])).
% 0.62/0.65 tff(161,plain,
% 0.62/0.65 (((~![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) | ((a_select2(s_try7_init, succ(tptp_minus_1)) = init) | (~leq(succ(tptp_minus_1), succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) <=> ((~![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) | (a_select2(s_try7_init, succ(tptp_minus_1)) = init) | (~leq(succ(tptp_minus_1), succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))),
% 0.62/0.65 inference(rewrite,[status(thm)],[])).
% 0.62/0.65 tff(162,plain,
% 0.62/0.65 ((~![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) | ((a_select2(s_try7_init, succ(tptp_minus_1)) = init) | (~leq(succ(tptp_minus_1), succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))),
% 0.62/0.66 inference(quant_inst,[status(thm)],[])).
% 0.62/0.66 tff(163,plain,
% 0.62/0.66 ((~![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) | (a_select2(s_try7_init, succ(tptp_minus_1)) = init) | (~leq(succ(tptp_minus_1), succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))),
% 0.62/0.66 inference(modus_ponens,[status(thm)],[162, 161])).
% 0.62/0.66 tff(164,plain,
% 0.62/0.66 ((a_select2(s_try7_init, succ(tptp_minus_1)) = init) | (~leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))),
% 0.62/0.66 inference(unit_resolution,[status(thm)],[163, 24, 160])).
% 0.62/0.66 tff(165,plain,
% 0.62/0.66 (a_select2(s_try7_init, succ(tptp_minus_1)) = init),
% 0.62/0.66 inference(unit_resolution,[status(thm)],[164, 148])).
% 0.62/0.66 tff(166,plain,
% 0.62/0.66 (leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))) <=> leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(tptp_minus_1))))),
% 0.62/0.66 inference(monotonicity,[status(thm)],[100])).
% 0.62/0.66 tff(167,plain,
% 0.62/0.66 (leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(tptp_minus_1)))) <=> leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))),
% 0.62/0.66 inference(symmetry,[status(thm)],[166])).
% 0.62/0.66 tff(168,plain,
% 0.62/0.66 ((~![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X))) | (leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(tptp_minus_1)))) <=> gt(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(tptp_minus_1)))))),
% 0.62/0.66 inference(quant_inst,[status(thm)],[])).
% 0.62/0.66 tff(169,plain,
% 0.62/0.66 (leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(tptp_minus_1)))) <=> gt(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(tptp_minus_1))))),
% 0.62/0.66 inference(unit_resolution,[status(thm)],[168, 155])).
% 0.62/0.66 tff(170,plain,
% 0.62/0.66 (gt(n3, n2) <=> gt(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(tptp_minus_1))))),
% 0.62/0.66 inference(rewrite,[status(thm)],[])).
% 0.62/0.66 tff(171,plain,
% 0.62/0.66 (gt(n3, n2) <=> gt(n3, n2)),
% 0.62/0.66 inference(rewrite,[status(thm)],[])).
% 0.62/0.66 tff(172,axiom,(gt(n3, n2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_3_2')).
% 0.62/0.66 tff(173,plain,
% 0.62/0.66 (gt(n3, n2)),
% 0.62/0.66 inference(modus_ponens,[status(thm)],[172, 171])).
% 0.62/0.66 tff(174,plain,
% 0.62/0.66 (gt(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(tptp_minus_1))))),
% 0.62/0.66 inference(modus_ponens,[status(thm)],[173, 170])).
% 0.62/0.66 tff(175,plain,
% 0.62/0.66 ((~(leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(tptp_minus_1)))) <=> gt(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(tptp_minus_1)))))) | leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(tptp_minus_1)))) | (~gt(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(tptp_minus_1)))))),
% 0.62/0.66 inference(tautology,[status(thm)],[])).
% 0.62/0.66 tff(176,plain,
% 0.62/0.66 ((~(leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(tptp_minus_1)))) <=> gt(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(tptp_minus_1)))))) | leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(tptp_minus_1))))),
% 0.62/0.66 inference(unit_resolution,[status(thm)],[175, 174])).
% 0.62/0.66 tff(177,plain,
% 0.62/0.66 (leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(tptp_minus_1))))),
% 0.62/0.66 inference(unit_resolution,[status(thm)],[176, 169])).
% 0.62/0.66 tff(178,plain,
% 0.62/0.66 (leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))),
% 0.62/0.66 inference(modus_ponens,[status(thm)],[177, 167])).
% 0.62/0.66 tff(179,plain,
% 0.62/0.66 (((~![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) | ((a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init) | (~leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) <=> ((~![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) | (a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init) | (~leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))),
% 0.62/0.66 inference(rewrite,[status(thm)],[])).
% 0.62/0.66 tff(180,plain,
% 0.62/0.66 ((~![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) | ((a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init) | (~leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))),
% 0.62/0.66 inference(quant_inst,[status(thm)],[])).
% 0.62/0.66 tff(181,plain,
% 0.62/0.66 ((~![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) | (a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init) | (~leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))),
% 0.62/0.66 inference(modus_ponens,[status(thm)],[180, 179])).
% 0.62/0.66 tff(182,plain,
% 0.62/0.66 ((a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init) | (~leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))),
% 0.62/0.66 inference(unit_resolution,[status(thm)],[181, 24, 147])).
% 0.62/0.66 tff(183,plain,
% 0.62/0.66 (a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init),
% 0.62/0.66 inference(unit_resolution,[status(thm)],[182, 178])).
% 0.62/0.66 tff(184,plain,
% 0.62/0.66 (((~(a_select2(s_try7_init, succ(tptp_minus_1)) = init)) | (~(a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init)) | (~(a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init)) | (~((a_select2(s_values7_init, H!15) = init) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(H!15, succ(succ(succ(succ(tptp_minus_1)))))))) | (~((a_select2(s_center7_init, I!16) = init) | (~leq(succ(tptp_minus_1), I!16)) | (~leq(I!16, succ(succ(succ(tptp_minus_1))))))) | (~((a_select2(s_try7_init, J!17) = init) | (~leq(succ(tptp_minus_1), J!17)) | (~leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) | (~((a_select3(simplex7_init, G!14, F!13) = init) | (~leq(succ(tptp_minus_1), G!14)) | (~leq(G!14, succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), F!13)) | (~leq(F!13, succ(succ(succ(tptp_minus_1)))))))) <=> ((~(a_select2(s_try7_init, succ(tptp_minus_1)) = init)) | (~(a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init)) | (~(a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init)) | (~((a_select3(simplex7_init, G!14, F!13) = init) | (~leq(succ(tptp_minus_1), G!14)) | (~leq(G!14, succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), F!13)) | (~leq(F!13, succ(succ(succ(tptp_minus_1))))))) | (~((a_select2(s_values7_init, H!15) = init) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(H!15, succ(succ(succ(succ(tptp_minus_1)))))))) | (~((a_select2(s_center7_init, I!16) = init) | (~leq(succ(tptp_minus_1), I!16)) | (~leq(I!16, succ(succ(succ(tptp_minus_1))))))) | (~((a_select2(s_try7_init, J!17) = init) | (~leq(succ(tptp_minus_1), J!17)) | (~leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))))),
% 0.62/0.66 inference(rewrite,[status(thm)],[])).
% 0.62/0.66 tff(185,plain,
% 0.62/0.66 ((leq(succ(tptp_minus_1), F!13) & leq(F!13, succ(succ(succ(tptp_minus_1)))) & (~((a_select3(simplex7_init, G!14, F!13) = init) | (~leq(succ(tptp_minus_1), G!14)) | (~leq(G!14, succ(succ(succ(succ(tptp_minus_1))))))))) <=> (~((a_select3(simplex7_init, G!14, F!13) = init) | (~leq(succ(tptp_minus_1), G!14)) | (~leq(G!14, succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), F!13)) | (~leq(F!13, succ(succ(succ(tptp_minus_1)))))))),
% 0.62/0.66 inference(rewrite,[status(thm)],[])).
% 0.62/0.66 tff(186,plain,
% 0.62/0.66 ((~((~(leq(succ(tptp_minus_1), G!14) & leq(G!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G!14, F!13) = init))) <=> (~((a_select3(simplex7_init, G!14, F!13) = init) | (~leq(succ(tptp_minus_1), G!14)) | (~leq(G!14, succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.62/0.66 inference(rewrite,[status(thm)],[])).
% 0.62/0.66 tff(187,plain,
% 0.62/0.66 ((leq(succ(tptp_minus_1), F!13) & leq(F!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), G!14) & leq(G!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G!14, F!13) = init)))) <=> (leq(succ(tptp_minus_1), F!13) & leq(F!13, succ(succ(succ(tptp_minus_1)))) & (~((a_select3(simplex7_init, G!14, F!13) = init) | (~leq(succ(tptp_minus_1), G!14)) | (~leq(G!14, succ(succ(succ(succ(tptp_minus_1)))))))))),
% 0.62/0.66 inference(monotonicity,[status(thm)],[186])).
% 0.62/0.66 tff(188,plain,
% 0.62/0.66 ((leq(succ(tptp_minus_1), F!13) & leq(F!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), G!14) & leq(G!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G!14, F!13) = init)))) <=> (~((a_select3(simplex7_init, G!14, F!13) = init) | (~leq(succ(tptp_minus_1), G!14)) | (~leq(G!14, succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), F!13)) | (~leq(F!13, succ(succ(succ(tptp_minus_1)))))))),
% 0.62/0.66 inference(transitivity,[status(thm)],[187, 185])).
% 0.62/0.66 tff(189,plain,
% 0.62/0.66 ((~((~(leq(succ(tptp_minus_1), J!17) & leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, J!17) = init))) <=> (~((a_select2(s_try7_init, J!17) = init) | (~leq(succ(tptp_minus_1), J!17)) | (~leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))))),
% 0.62/0.66 inference(rewrite,[status(thm)],[])).
% 0.62/0.66 tff(190,plain,
% 0.62/0.66 ((~((~(leq(succ(tptp_minus_1), I!16) & leq(I!16, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, I!16) = init))) <=> (~((a_select2(s_center7_init, I!16) = init) | (~leq(succ(tptp_minus_1), I!16)) | (~leq(I!16, succ(succ(succ(tptp_minus_1)))))))),
% 0.62/0.66 inference(rewrite,[status(thm)],[])).
% 0.62/0.66 tff(191,plain,
% 0.62/0.66 ((~((~(leq(succ(tptp_minus_1), H!15) & leq(H!15, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, H!15) = init))) <=> (~((a_select2(s_values7_init, H!15) = init) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(H!15, succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.62/0.66 inference(rewrite,[status(thm)],[])).
% 0.62/0.66 tff(192,plain,
% 0.62/0.66 (((~(a_select2(s_try7_init, succ(tptp_minus_1)) = init)) | (~(a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init)) | (~(a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init)) | (~((~(leq(succ(tptp_minus_1), H!15) & leq(H!15, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, H!15) = init))) | (~((~(leq(succ(tptp_minus_1), I!16) & leq(I!16, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, I!16) = init))) | (~((~(leq(succ(tptp_minus_1), J!17) & leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, J!17) = init))) | (leq(succ(tptp_minus_1), F!13) & leq(F!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), G!14) & leq(G!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G!14, F!13) = init))))) <=> ((~(a_select2(s_try7_init, succ(tptp_minus_1)) = init)) | (~(a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init)) | (~(a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init)) | (~((a_select2(s_values7_init, H!15) = init) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(H!15, succ(succ(succ(succ(tptp_minus_1)))))))) | (~((a_select2(s_center7_init, I!16) = init) | (~leq(succ(tptp_minus_1), I!16)) | (~leq(I!16, succ(succ(succ(tptp_minus_1))))))) | (~((a_select2(s_try7_init, J!17) = init) | (~leq(succ(tptp_minus_1), J!17)) | (~leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) | (~((a_select3(simplex7_init, G!14, F!13) = init) | (~leq(succ(tptp_minus_1), G!14)) | (~leq(G!14, succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), F!13)) | (~leq(F!13, succ(succ(succ(tptp_minus_1))))))))),
% 0.62/0.66 inference(monotonicity,[status(thm)],[191, 190, 189, 188])).
% 0.62/0.66 tff(193,plain,
% 0.62/0.66 (((~(a_select2(s_try7_init, succ(tptp_minus_1)) = init)) | (~(a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init)) | (~(a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init)) | (~((~(leq(succ(tptp_minus_1), H!15) & leq(H!15, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, H!15) = init))) | (~((~(leq(succ(tptp_minus_1), I!16) & leq(I!16, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, I!16) = init))) | (~((~(leq(succ(tptp_minus_1), J!17) & leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, J!17) = init))) | (leq(succ(tptp_minus_1), F!13) & leq(F!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), G!14) & leq(G!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G!14, F!13) = init))))) <=> ((~(a_select2(s_try7_init, succ(tptp_minus_1)) = init)) | (~(a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init)) | (~(a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init)) | (~((a_select3(simplex7_init, G!14, F!13) = init) | (~leq(succ(tptp_minus_1), G!14)) | (~leq(G!14, succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), F!13)) | (~leq(F!13, succ(succ(succ(tptp_minus_1))))))) | (~((a_select2(s_values7_init, H!15) = init) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(H!15, succ(succ(succ(succ(tptp_minus_1)))))))) | (~((a_select2(s_center7_init, I!16) = init) | (~leq(succ(tptp_minus_1), I!16)) | (~leq(I!16, succ(succ(succ(tptp_minus_1))))))) | (~((a_select2(s_try7_init, J!17) = init) | (~leq(succ(tptp_minus_1), J!17)) | (~leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))))),
% 0.62/0.66 inference(transitivity,[status(thm)],[192, 184])).
% 0.62/0.66 tff(194,plain,
% 0.62/0.66 (((~(a_select2(s_try7_init, succ(tptp_minus_1)) = init)) | (~(a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init)) | (~(a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init)) | (leq(succ(tptp_minus_1), F!13) & leq(F!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), G!14) & leq(G!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G!14, F!13) = init)))) | (~((~(leq(succ(tptp_minus_1), H!15) & leq(H!15, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, H!15) = init))) | (~((~(leq(succ(tptp_minus_1), I!16) & leq(I!16, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, I!16) = init))) | (~((~(leq(succ(tptp_minus_1), J!17) & leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, J!17) = init)))) <=> ((~(a_select2(s_try7_init, succ(tptp_minus_1)) = init)) | (~(a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init)) | (~(a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init)) | (~((~(leq(succ(tptp_minus_1), H!15) & leq(H!15, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, H!15) = init))) | (~((~(leq(succ(tptp_minus_1), I!16) & leq(I!16, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, I!16) = init))) | (~((~(leq(succ(tptp_minus_1), J!17) & leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, J!17) = init))) | (leq(succ(tptp_minus_1), F!13) & leq(F!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), G!14) & leq(G!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G!14, F!13) = init)))))),
% 0.62/0.66 inference(rewrite,[status(thm)],[])).
% 0.62/0.66 tff(195,plain,
% 0.62/0.66 (((leq(succ(tptp_minus_1), F!13) & leq(F!13, succ(succ(succ(tptp_minus_1))))) & (~((~(leq(succ(tptp_minus_1), G!14) & leq(G!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G!14, F!13) = init)))) <=> (leq(succ(tptp_minus_1), F!13) & leq(F!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), G!14) & leq(G!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G!14, F!13) = init))))),
% 0.62/0.66 inference(rewrite,[status(thm)],[])).
% 0.62/0.66 tff(196,plain,
% 0.62/0.66 ((~(~(leq(succ(tptp_minus_1), F!13) & leq(F!13, succ(succ(succ(tptp_minus_1))))))) <=> (leq(succ(tptp_minus_1), F!13) & leq(F!13, succ(succ(succ(tptp_minus_1)))))),
% 0.62/0.67 inference(rewrite,[status(thm)],[])).
% 0.62/0.67 tff(197,plain,
% 0.62/0.67 (((~(~(leq(succ(tptp_minus_1), F!13) & leq(F!13, succ(succ(succ(tptp_minus_1))))))) & (~((~(leq(succ(tptp_minus_1), G!14) & leq(G!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G!14, F!13) = init)))) <=> ((leq(succ(tptp_minus_1), F!13) & leq(F!13, succ(succ(succ(tptp_minus_1))))) & (~((~(leq(succ(tptp_minus_1), G!14) & leq(G!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G!14, F!13) = init))))),
% 0.62/0.67 inference(monotonicity,[status(thm)],[196])).
% 0.62/0.67 tff(198,plain,
% 0.62/0.67 (((~(~(leq(succ(tptp_minus_1), F!13) & leq(F!13, succ(succ(succ(tptp_minus_1))))))) & (~((~(leq(succ(tptp_minus_1), G!14) & leq(G!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G!14, F!13) = init)))) <=> (leq(succ(tptp_minus_1), F!13) & leq(F!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), G!14) & leq(G!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G!14, F!13) = init))))),
% 0.62/0.67 inference(transitivity,[status(thm)],[197, 195])).
% 0.62/0.67 tff(199,plain,
% 0.62/0.67 (((~(a_select2(s_try7_init, succ(tptp_minus_1)) = init)) | (~(a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init)) | (~(a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init)) | ((~(~(leq(succ(tptp_minus_1), F!13) & leq(F!13, succ(succ(succ(tptp_minus_1))))))) & (~((~(leq(succ(tptp_minus_1), G!14) & leq(G!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G!14, F!13) = init)))) | (~((~(leq(succ(tptp_minus_1), H!15) & leq(H!15, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, H!15) = init))) | (~((~(leq(succ(tptp_minus_1), I!16) & leq(I!16, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, I!16) = init))) | (~((~(leq(succ(tptp_minus_1), J!17) & leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, J!17) = init)))) <=> ((~(a_select2(s_try7_init, succ(tptp_minus_1)) = init)) | (~(a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init)) | (~(a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init)) | (leq(succ(tptp_minus_1), F!13) & leq(F!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), G!14) & leq(G!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G!14, F!13) = init)))) | (~((~(leq(succ(tptp_minus_1), H!15) & leq(H!15, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, H!15) = init))) | (~((~(leq(succ(tptp_minus_1), I!16) & leq(I!16, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, I!16) = init))) | (~((~(leq(succ(tptp_minus_1), J!17) & leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, J!17) = init))))),
% 0.62/0.67 inference(monotonicity,[status(thm)],[198])).
% 0.62/0.67 tff(200,plain,
% 0.62/0.67 (((~(a_select2(s_try7_init, succ(tptp_minus_1)) = init)) | (~(a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init)) | (~(a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init)) | ((~(~(leq(succ(tptp_minus_1), F!13) & leq(F!13, succ(succ(succ(tptp_minus_1))))))) & (~((~(leq(succ(tptp_minus_1), G!14) & leq(G!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G!14, F!13) = init)))) | (~((~(leq(succ(tptp_minus_1), H!15) & leq(H!15, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, H!15) = init))) | (~((~(leq(succ(tptp_minus_1), I!16) & leq(I!16, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, I!16) = init))) | (~((~(leq(succ(tptp_minus_1), J!17) & leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, J!17) = init)))) <=> ((~(a_select2(s_try7_init, succ(tptp_minus_1)) = init)) | (~(a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init)) | (~(a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init)) | (~((~(leq(succ(tptp_minus_1), H!15) & leq(H!15, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, H!15) = init))) | (~((~(leq(succ(tptp_minus_1), I!16) & leq(I!16, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, I!16) = init))) | (~((~(leq(succ(tptp_minus_1), J!17) & leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, J!17) = init))) | (leq(succ(tptp_minus_1), F!13) & leq(F!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), G!14) & leq(G!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G!14, F!13) = init)))))),
% 0.62/0.67 inference(transitivity,[status(thm)],[199, 194])).
% 0.62/0.67 tff(201,plain,
% 0.62/0.67 (((a_select2(s_try7_init, succ(tptp_minus_1)) = init) & (a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init) & (a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init) & ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, succ(succ(succ(tptp_minus_1)))))) | ![G: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(G, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(succ(tptp_minus_1), H) & leq(H, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(succ(tptp_minus_1), I) & leq(I, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(succ(tptp_minus_1), J) & leq(J, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, J) = init))) <=> ((a_select2(s_try7_init, succ(tptp_minus_1)) = init) & (a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init) & (a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init) & ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, succ(succ(succ(tptp_minus_1)))))) | ![G: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(G, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(succ(tptp_minus_1), H) & leq(H, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(succ(tptp_minus_1), I) & leq(I, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(succ(tptp_minus_1), J) & leq(J, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, J) = init)))),
% 0.62/0.67 inference(rewrite,[status(thm)],[])).
% 0.62/0.67 tff(202,plain,
% 0.62/0.67 ((~((a_select2(s_try7_init, succ(tptp_minus_1)) = init) & (a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init) & (a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init) & ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, succ(succ(succ(tptp_minus_1)))))) | ![G: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(G, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(succ(tptp_minus_1), H) & leq(H, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(succ(tptp_minus_1), I) & leq(I, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(succ(tptp_minus_1), J) & leq(J, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, J) = init)))) <=> (~((a_select2(s_try7_init, succ(tptp_minus_1)) = init) & (a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init) & (a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init) & ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, succ(succ(succ(tptp_minus_1)))))) | ![G: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(G, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(succ(tptp_minus_1), H) & leq(H, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(succ(tptp_minus_1), I) & leq(I, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(succ(tptp_minus_1), J) & leq(J, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, J) = init))))),
% 0.62/0.67 inference(monotonicity,[status(thm)],[201])).
% 0.62/0.67 tff(203,plain,
% 0.62/0.67 ((~((a_select2(s_try7_init, n0) = init) & (a_select2(s_try7_init, n1) = init) & (a_select2(s_try7_init, n2) = init) & ![F: $i] : ((~(leq(n0, F) & leq(F, n2))) | ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(n0, H) & leq(H, n3))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, n2))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(n0, J) & leq(J, minus(n3, n1)))) | (a_select2(s_try7_init, J) = init)))) <=> (~((a_select2(s_try7_init, succ(tptp_minus_1)) = init) & (a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init) & (a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init) & ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, succ(succ(succ(tptp_minus_1)))))) | ![G: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(G, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(succ(tptp_minus_1), H) & leq(H, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(succ(tptp_minus_1), I) & leq(I, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(succ(tptp_minus_1), J) & leq(J, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, J) = init))))),
% 0.68/0.67 inference(rewrite,[status(thm)],[])).
% 0.68/0.67 tff(204,plain,
% 0.68/0.67 (((a_select2(s_try7_init, n0) = init) & (a_select2(s_try7_init, n1) = init) & (a_select2(s_try7_init, n2) = init) & ![F: $i] : ((~(leq(n0, F) & leq(F, n2))) | ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(n0, H) & leq(H, n3))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, n2))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(n0, J) & leq(J, minus(n3, n1)))) | (a_select2(s_try7_init, J) = init))) <=> ((a_select2(s_try7_init, n0) = init) & (a_select2(s_try7_init, n1) = init) & (a_select2(s_try7_init, n2) = init) & ![F: $i] : ((~(leq(n0, F) & leq(F, n2))) | ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(n0, H) & leq(H, n3))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, n2))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(n0, J) & leq(J, minus(n3, n1)))) | (a_select2(s_try7_init, J) = init)))),
% 0.68/0.67 inference(rewrite,[status(thm)],[])).
% 0.68/0.67 tff(205,plain,
% 0.68/0.67 ((~((a_select2(s_try7_init, n0) = init) & (a_select2(s_try7_init, n1) = init) & (a_select2(s_try7_init, n2) = init) & ![F: $i] : ((~(leq(n0, F) & leq(F, n2))) | ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(n0, H) & leq(H, n3))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, n2))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(n0, J) & leq(J, minus(n3, n1)))) | (a_select2(s_try7_init, J) = init)))) <=> (~((a_select2(s_try7_init, n0) = init) & (a_select2(s_try7_init, n1) = init) & (a_select2(s_try7_init, n2) = init) & ![F: $i] : ((~(leq(n0, F) & leq(F, n2))) | ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(n0, H) & leq(H, n3))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, n2))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(n0, J) & leq(J, minus(n3, n1)))) | (a_select2(s_try7_init, J) = init))))),
% 0.68/0.67 inference(monotonicity,[status(thm)],[204])).
% 0.68/0.67 tff(206,plain,
% 0.68/0.67 ((~((a_select2(s_try7_init, n0) = init) & (a_select2(s_try7_init, n1) = init) & (a_select2(s_try7_init, n2) = init) & ![F: $i] : ((~(leq(n0, F) & leq(F, n2))) | ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(n0, H) & leq(H, n3))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, n2))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(n0, J) & leq(J, minus(n3, n1)))) | (a_select2(s_try7_init, J) = init)))) <=> (~((a_select2(s_try7_init, n0) = init) & (a_select2(s_try7_init, n1) = init) & (a_select2(s_try7_init, n2) = init) & ![F: $i] : ((~(leq(n0, F) & leq(F, n2))) | ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(n0, H) & leq(H, n3))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, n2))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(n0, J) & leq(J, minus(n3, n1)))) | (a_select2(s_try7_init, J) = init))))),
% 0.68/0.67 inference(rewrite,[status(thm)],[])).
% 0.68/0.67 tff(207,plain,
% 0.68/0.67 ((~((s_best7_init = init) & (s_sworst7_init = init) & (s_worst7_init = init) & (a_select2(s_try7_init, n0) = init) & (a_select2(s_try7_init, n1) = init) & (a_select2(s_try7_init, n2) = init) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(n0, pv7) & leq(n0, pv19) & leq(n0, pv20) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv7, minus(n410, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & ![F: $i] : ((~(leq(n0, F) & leq(F, n2))) | ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(n0, H) & leq(H, n3))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, n2))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(n0, J) & leq(J, minus(n3, n1)))) | (a_select2(s_try7_init, J) = init)) & ((~gt(loopcounter, n1)) | ((pvar1400_init = init) & (pvar1401_init = init) & (pvar1402_init = init))))) <=> (~((a_select2(s_try7_init, n0) = init) & (a_select2(s_try7_init, n1) = init) & (a_select2(s_try7_init, n2) = init) & ![F: $i] : ((~(leq(n0, F) & leq(F, n2))) | ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(n0, H) & leq(H, n3))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, n2))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(n0, J) & leq(J, minus(n3, n1)))) | (a_select2(s_try7_init, J) = init))))),
% 0.68/0.67 inference(rewrite,[status(thm)],[])).
% 0.68/0.67 tff(208,plain,
% 0.68/0.67 (((s_best7_init = init) & (s_sworst7_init = init) & (s_worst7_init = init) & (a_select2(s_try7_init, n0) = init) & (a_select2(s_try7_init, n1) = init) & (a_select2(s_try7_init, n2) = init) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(n0, pv7) & leq(n0, pv19) & leq(n0, pv20) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv7, minus(n410, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & ![F: $i] : ((~(leq(n0, F) & leq(F, n2))) | ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(n0, H) & leq(H, n3))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, n2))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(n0, J) & leq(J, minus(n3, n1)))) | (a_select2(s_try7_init, J) = 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) & (a_select2(s_try7_init, n0) = init) & (a_select2(s_try7_init, n1) = init) & (a_select2(s_try7_init, n2) = init) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(n0, pv7) & leq(n0, pv19) & leq(n0, pv20) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv7, minus(n410, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & ![F: $i] : ((~(leq(n0, F) & leq(F, n2))) | ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(n0, H) & leq(H, n3))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, n2))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(n0, J) & leq(J, minus(n3, n1)))) | (a_select2(s_try7_init, J) = init)) & ((~gt(loopcounter, n1)) | ((pvar1400_init = init) & (pvar1401_init = init) & (pvar1402_init = init))))),
% 0.68/0.67 inference(rewrite,[status(thm)],[])).
% 0.68/0.67 tff(209,plain,
% 0.68/0.67 ((~((s_best7_init = init) & (s_sworst7_init = init) & (s_worst7_init = init) & (a_select2(s_try7_init, n0) = init) & (a_select2(s_try7_init, n1) = init) & (a_select2(s_try7_init, n2) = init) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(n0, pv7) & leq(n0, pv19) & leq(n0, pv20) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv7, minus(n410, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & ![F: $i] : ((~(leq(n0, F) & leq(F, n2))) | ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(n0, H) & leq(H, n3))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, n2))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(n0, J) & leq(J, minus(n3, n1)))) | (a_select2(s_try7_init, J) = 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) & (a_select2(s_try7_init, n0) = init) & (a_select2(s_try7_init, n1) = init) & (a_select2(s_try7_init, n2) = init) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(n0, pv7) & leq(n0, pv19) & leq(n0, pv20) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv7, minus(n410, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & ![F: $i] : ((~(leq(n0, F) & leq(F, n2))) | ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(n0, H) & leq(H, n3))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, n2))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(n0, J) & leq(J, minus(n3, n1)))) | (a_select2(s_try7_init, J) = init)) & ((~gt(loopcounter, n1)) | ((pvar1400_init = init) & (pvar1401_init = init) & (pvar1402_init = init)))))),
% 0.68/0.68 inference(monotonicity,[status(thm)],[208])).
% 0.68/0.68 tff(210,plain,
% 0.68/0.68 (~((s_best7_init = init) & (s_sworst7_init = init) & (s_worst7_init = init) & (a_select2(s_try7_init, n0) = init) & (a_select2(s_try7_init, n1) = init) & (a_select2(s_try7_init, n2) = init) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(n0, pv7) & leq(n0, pv19) & leq(n0, pv20) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv7, minus(n410, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & ![F: $i] : ((~(leq(n0, F) & leq(F, n2))) | ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(n0, H) & leq(H, n3))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, n2))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(n0, J) & leq(J, minus(n3, n1)))) | (a_select2(s_try7_init, J) = init)) & ((~gt(loopcounter, n1)) | ((pvar1400_init = init) & (pvar1401_init = init) & (pvar1402_init = init))))),
% 0.68/0.68 inference(or_elim,[status(thm)],[17])).
% 0.68/0.68 tff(211,plain,
% 0.68/0.68 (~((s_best7_init = init) & (s_sworst7_init = init) & (s_worst7_init = init) & (a_select2(s_try7_init, n0) = init) & (a_select2(s_try7_init, n1) = init) & (a_select2(s_try7_init, n2) = init) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(n0, pv7) & leq(n0, pv19) & leq(n0, pv20) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv7, minus(n410, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & ![F: $i] : ((~(leq(n0, F) & leq(F, n2))) | ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(n0, H) & leq(H, n3))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, n2))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(n0, J) & leq(J, minus(n3, n1)))) | (a_select2(s_try7_init, J) = init)) & ((~gt(loopcounter, n1)) | ((pvar1400_init = init) & (pvar1401_init = init) & (pvar1402_init = init))))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[210, 209])).
% 0.68/0.68 tff(212,plain,
% 0.68/0.68 (~((a_select2(s_try7_init, n0) = init) & (a_select2(s_try7_init, n1) = init) & (a_select2(s_try7_init, n2) = init) & ![F: $i] : ((~(leq(n0, F) & leq(F, n2))) | ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(n0, H) & leq(H, n3))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, n2))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(n0, J) & leq(J, minus(n3, n1)))) | (a_select2(s_try7_init, J) = init)))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[211, 207])).
% 0.68/0.68 tff(213,plain,
% 0.68/0.68 (~((a_select2(s_try7_init, n0) = init) & (a_select2(s_try7_init, n1) = init) & (a_select2(s_try7_init, n2) = init) & ![F: $i] : ((~(leq(n0, F) & leq(F, n2))) | ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(n0, H) & leq(H, n3))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, n2))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(n0, J) & leq(J, minus(n3, n1)))) | (a_select2(s_try7_init, J) = init)))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[212, 206])).
% 0.68/0.68 tff(214,plain,
% 0.68/0.68 (~((a_select2(s_try7_init, n0) = init) & (a_select2(s_try7_init, n1) = init) & (a_select2(s_try7_init, n2) = init) & ![F: $i] : ((~(leq(n0, F) & leq(F, n2))) | ![G: $i] : ((~(leq(n0, G) & leq(G, n3))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(n0, H) & leq(H, n3))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(n0, I) & leq(I, n2))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(n0, J) & leq(J, minus(n3, n1)))) | (a_select2(s_try7_init, J) = init)))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[213, 205])).
% 0.68/0.68 tff(215,plain,
% 0.68/0.68 (~((a_select2(s_try7_init, succ(tptp_minus_1)) = init) & (a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init) & (a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init) & ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, succ(succ(succ(tptp_minus_1)))))) | ![G: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(G, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(succ(tptp_minus_1), H) & leq(H, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(succ(tptp_minus_1), I) & leq(I, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(succ(tptp_minus_1), J) & leq(J, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, J) = init)))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[214, 203])).
% 0.68/0.68 tff(216,plain,
% 0.68/0.68 (~((a_select2(s_try7_init, succ(tptp_minus_1)) = init) & (a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init) & (a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init) & ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, succ(succ(succ(tptp_minus_1)))))) | ![G: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(G, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(succ(tptp_minus_1), H) & leq(H, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(succ(tptp_minus_1), I) & leq(I, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(succ(tptp_minus_1), J) & leq(J, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, J) = init)))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[215, 202])).
% 0.68/0.68 tff(217,plain,
% 0.68/0.68 (~((a_select2(s_try7_init, succ(tptp_minus_1)) = init) & (a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init) & (a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init) & ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, succ(succ(succ(tptp_minus_1)))))) | ![G: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(G, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(succ(tptp_minus_1), H) & leq(H, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(succ(tptp_minus_1), I) & leq(I, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(succ(tptp_minus_1), J) & leq(J, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, J) = init)))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[216, 202])).
% 0.68/0.69 tff(218,plain,
% 0.68/0.69 (~((a_select2(s_try7_init, succ(tptp_minus_1)) = init) & (a_select2(s_try7_init, succ(succ(tptp_minus_1))) = init) & (a_select2(s_try7_init, succ(succ(succ(tptp_minus_1)))) = init) & ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, succ(succ(succ(tptp_minus_1)))))) | ![G: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(G, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, G, F) = init))) & ![H: $i] : ((~(leq(succ(tptp_minus_1), H) & leq(H, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, H) = init)) & ![I: $i] : ((~(leq(succ(tptp_minus_1), I) & leq(I, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, I) = init)) & ![J: $i] : ((~(leq(succ(tptp_minus_1), J) & leq(J, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))) | (a_select2(s_try7_init, J) = init)))),
% 0.68/0.69 inference(modus_ponens,[status(thm)],[217, 202])).
% 0.68/0.69 unexpected number of arguments: (let ((a!1 (not (= (a_select2 s_try7_init (succ tptp_minus_1)) init)))
% 0.68/0.69 (a!2 (= (a_select2 s_try7_init (succ (succ tptp_minus_1))) init))
% 0.68/0.69 (a!3 (a_select2 s_try7_init (succ (succ (succ tptp_minus_1)))))
% 0.68/0.69 (a!5 (forall ((F $i))
% 0.68/0.69 (let ((a!1 (leq F (succ (succ (succ tptp_minus_1)))))
% 0.68/0.69 (a!3 (forall ((G $i))
% 0.68/0.69 (let ((a!1 (succ (succ (succ (succ tptp_minus_1))))))
% 0.68/0.69 (let ((a!2 (not (and (leq (succ tptp_minus_1) G)
% 0.68/0.69 (leq G a!1)))))
% 0.68/0.69 (or a!2 (= (a_select3 simplex7_init G F) init)))))))
% 0.68/0.69 (let ((a!2 (not (and (leq (succ tptp_minus_1) F) a!1))))
% 0.68/0.69 (or a!2 a!3)))))
% 0.68/0.69 (a!6 (leq F!13 (succ (succ (succ tptp_minus_1)))))
% 0.68/0.69 (a!8 (forall ((G $i))
% 0.68/0.69 (let ((a!1 (succ (succ (succ (succ tptp_minus_1))))))
% 0.68/0.69 (let ((a!2 (not (and (leq (succ tptp_minus_1) G) (leq G a!1)))))
% 0.68/0.69 (or a!2 (= (a_select3 simplex7_init G F!13) init))))))
% 0.68/0.69 (a!10 (succ (succ (succ (succ tptp_minus_1)))))
% 0.68/0.69 (a!15 (forall ((H $i))
% 0.68/0.69 (let ((a!1 (succ (succ (succ (succ tptp_minus_1))))))
% 0.68/0.69 (let ((a!2 (not (and (leq (succ tptp_minus_1) H) (leq H a!1)))))
% 0.68/0.69 (or a!2 (= (a_select2 s_values7_init H) init))))))
% 0.68/0.69 (a!18 (forall ((I $i))
% 0.68/0.69 (let ((a!1 (leq I (succ (succ (succ tptp_minus_1))))))
% 0.68/0.69 (let ((a!2 (not (and (leq (succ tptp_minus_1) I) a!1))))
% 0.68/0.69 (or a!2 (= (a_select2 s_center7_init I) init))))))
% 0.68/0.69 (a!19 (leq I!16 (succ (succ (succ tptp_minus_1)))))
% 0.68/0.69 (a!22 (forall ((J $i))
% 0.68/0.69 (let ((a!1 (succ (succ (succ (succ tptp_minus_1))))))
% 0.68/0.69 (let ((a!2 (leq J (minus a!1 (succ (succ tptp_minus_1))))))
% 0.68/0.69 (let ((a!3 (not (and (leq (succ tptp_minus_1) J) a!2))))
% 0.68/0.69 (or a!3 (= (a_select2 s_try7_init J) init))))))))
% 0.68/0.69 (let ((a!4 (refl (~ (not (= a!3 init)) (not (= a!3 init)))))
% 0.68/0.69 (a!7 (not (and (leq (succ tptp_minus_1) F!13) a!6)))
% 0.68/0.69 (a!11 (not (and (leq (succ tptp_minus_1) G!14) (leq G!14 a!10))))
% 0.68/0.69 (a!16 (not (and (leq (succ tptp_minus_1) H!15) (leq H!15 a!10))))
% 0.68/0.69 (a!20 (not (and (leq (succ tptp_minus_1) I!16) a!19)))
% 0.68/0.69 (a!23 (leq J!17 (minus a!10 (succ (succ tptp_minus_1)))))
% 0.68/0.69 (a!26 (and (= (a_select2 s_try7_init (succ tptp_minus_1)) init)
% 0.68/0.69 a!2
% 0.68/0.69 (= a!3 init)
% 0.68/0.69 a!5
% 0.68/0.69 a!15
% 0.68/0.69 a!18
% 0.68/0.69 a!22)))
% 0.68/0.69 (let ((a!9 (sk (~ (not a!5) (not (or a!7 a!8)))))
% 0.68/0.69 (a!12 (not (or a!11 (= (a_select3 simplex7_init G!14 F!13) init))))
% 0.68/0.69 (a!17 (not (or a!16 (= (a_select2 s_values7_init H!15) init))))
% 0.68/0.69 (a!21 (not (or a!20 (= (a_select2 s_center7_init I!16) init))))
% 0.68/0.69 (a!24 (not (and (leq (succ tptp_minus_1) J!17) a!23))))
% 0.68/0.69 (let ((a!13 (nnf-neg (refl (~ (not a!7) (not a!7)))
% 0.68/0.69 (sk (~ (not a!8) a!12))
% 0.68/0.69 (~ (not (or a!7 a!8)) (and (not a!7) a!12))))
% 0.68/0.69 (a!25 (not (or a!24 (= (a_select2 s_try7_init J!17) init)))))
% 0.68/0.69 (let ((a!14 (trans a!9 a!13 (~ (not a!5) (and (not a!7) a!12))))
% 0.68/0.69 (a!27 (~ (not a!26)
% 0.68/0.69 (or a!1
% 0.68/0.69 (not a!2)
% 0.68/0.69 (not (= a!3 init))
% 0.68/0.69 (and (not a!7) a!12)
% 0.68/0.69 a!17
% 0.68/0.69 a!21
% 0.68/0.69 a!25))))
% 0.68/0.69 (nnf-neg (refl (~ a!1 a!1))
% 0.68/0.69 (refl (~ (not a!2) (not a!2)))
% 0.68/0.69 a!4
% 0.68/0.69 a!14
% 0.68/0.69 (sk (~ (not a!15) a!17))
% 0.68/0.69 (sk (~ (not a!18) a!21))
% 0.68/0.69 (sk (~ (not a!22) a!25))
% 0.68/0.69 a!27))))))
% 0.68/0.69 Proof display could not be completed: unexpected number of arguments
%------------------------------------------------------------------------------