TSTP Solution File: SWV034+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV034+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 15:09:43 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV034+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Sep 4 01:07:18 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.21/0.51 % SZS status Theorem
% 0.21/0.51 % SZS output start Proof
% 0.21/0.51 tff(leq_type, type, (
% 0.21/0.51 leq: ( $i * $i ) > $o)).
% 0.21/0.51 tff(succ_type, type, (
% 0.21/0.51 succ: $i > $i)).
% 0.21/0.51 tff(tptp_minus_1_type, type, (
% 0.21/0.51 tptp_minus_1: $i)).
% 0.21/0.51 tff(init_type, type, (
% 0.21/0.51 init: $i)).
% 0.21/0.51 tff(a_select3_type, type, (
% 0.21/0.51 a_select3: ( $i * $i * $i ) > $i)).
% 0.21/0.51 tff(tptp_fun_F_13_type, type, (
% 0.21/0.51 tptp_fun_F_13: $i)).
% 0.21/0.51 tff(simplex7_init_type, type, (
% 0.21/0.51 simplex7_init: $i)).
% 0.21/0.51 tff(tptp_fun_G_14_type, type, (
% 0.21/0.51 tptp_fun_G_14: $i)).
% 0.21/0.51 tff(minus_type, type, (
% 0.21/0.51 minus: ( $i * $i ) > $i)).
% 0.21/0.51 tff(tptp_fun_J_17_type, type, (
% 0.21/0.51 tptp_fun_J_17: $i)).
% 0.21/0.51 tff(a_select2_type, type, (
% 0.21/0.51 a_select2: ( $i * $i ) > $i)).
% 0.21/0.51 tff(s_try7_init_type, type, (
% 0.21/0.51 s_try7_init: $i)).
% 0.21/0.51 tff(n1_type, type, (
% 0.21/0.51 n1: $i)).
% 0.21/0.51 tff(n3_type, type, (
% 0.21/0.51 n3: $i)).
% 0.21/0.51 tff(n0_type, type, (
% 0.21/0.51 n0: $i)).
% 0.21/0.51 tff(pvar1402_init_type, type, (
% 0.21/0.51 pvar1402_init: $i)).
% 0.21/0.51 tff(pvar1401_init_type, type, (
% 0.21/0.51 pvar1401_init: $i)).
% 0.21/0.51 tff(pvar1400_init_type, type, (
% 0.21/0.51 pvar1400_init: $i)).
% 0.21/0.51 tff(gt_type, type, (
% 0.21/0.51 gt: ( $i * $i ) > $o)).
% 0.21/0.51 tff(loopcounter_type, type, (
% 0.21/0.51 loopcounter: $i)).
% 0.21/0.51 tff(s_center7_init_type, type, (
% 0.21/0.51 s_center7_init: $i)).
% 0.21/0.51 tff(n2_type, type, (
% 0.21/0.51 n2: $i)).
% 0.21/0.51 tff(s_values7_init_type, type, (
% 0.21/0.51 s_values7_init: $i)).
% 0.21/0.51 tff(n410_type, type, (
% 0.21/0.51 n410: $i)).
% 0.21/0.51 tff(pv19_type, type, (
% 0.21/0.51 pv19: $i)).
% 0.21/0.51 tff(s_worst7_type, type, (
% 0.21/0.51 s_worst7: $i)).
% 0.21/0.51 tff(s_sworst7_type, type, (
% 0.21/0.51 s_sworst7: $i)).
% 0.21/0.51 tff(s_best7_type, type, (
% 0.21/0.51 s_best7: $i)).
% 0.21/0.51 tff(s_worst7_init_type, type, (
% 0.21/0.51 s_worst7_init: $i)).
% 0.21/0.51 tff(s_sworst7_init_type, type, (
% 0.21/0.51 s_sworst7_init: $i)).
% 0.21/0.51 tff(s_best7_init_type, type, (
% 0.21/0.51 s_best7_init: $i)).
% 0.21/0.51 tff(tptp_fun_I_16_type, type, (
% 0.21/0.51 tptp_fun_I_16: $i)).
% 0.21/0.51 tff(tptp_fun_H_15_type, type, (
% 0.21/0.51 tptp_fun_H_15: $i)).
% 0.21/0.51 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)).
% 0.21/0.51 tff(2,plain,
% 0.21/0.51 (((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))))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(3,plain,
% 0.21/0.51 (leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[2, 1])).
% 0.21/0.51 tff(4,plain,
% 0.21/0.51 (((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)),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(5,plain,
% 0.21/0.51 (leq(succ(tptp_minus_1), J!17)),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.21/0.51 tff(6,plain,
% 0.21/0.51 (((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))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(7,plain,
% 0.21/0.51 (~(a_select2(s_try7_init, J!17) = init)),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[6, 1])).
% 0.21/0.51 tff(8,plain,
% 0.21/0.51 (^[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)))))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(9,plain,
% 0.21/0.51 (![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))))))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[8])).
% 0.21/0.51 tff(10,plain,
% 0.21/0.51 (^[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))))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(11,plain,
% 0.21/0.52 (![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))))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[10])).
% 0.21/0.52 tff(12,plain,
% 0.21/0.52 (^[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)))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(13,plain,
% 0.21/0.52 (![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))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[12])).
% 0.21/0.52 tff(14,plain,
% 0.21/0.52 (![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))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(15,plain,
% 0.21/0.52 ((~(((((((((((((((((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, pv19)) & leq(s_best7, n3)) & leq(s_sworst7, n3)) & leq(s_worst7, n3)) & leq(pv19, minus(n410, 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)) & leq(n0, s_best7)) & leq(n0, s_sworst7)) & leq(n0, s_worst7)) & leq(n0, pv19)) & leq(s_best7, n3)) & leq(s_sworst7, n3)) & leq(s_worst7, n3)) & leq(pv19, minus(n410, 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, pv19) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv19, minus(n410, 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) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(n0, pv19) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv19, minus(n410, 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))))))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(16,axiom,(~(((((((((((((((((s_best7_init = init) & (s_sworst7_init = init)) & (s_worst7_init = init)) & leq(n0, s_best7)) & leq(n0, s_sworst7)) & leq(n0, s_worst7)) & leq(n0, pv19)) & leq(s_best7, n3)) & leq(s_sworst7, n3)) & leq(s_worst7, n3)) & leq(pv19, minus(n410, 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)) & leq(n0, s_best7)) & leq(n0, s_sworst7)) & leq(n0, s_worst7)) & leq(n0, pv19)) & leq(s_best7, n3)) & leq(s_sworst7, n3)) & leq(s_worst7, n3)) & leq(pv19, minus(n410, 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_0049')).
% 0.21/0.52 tff(17,plain,
% 0.21/0.52 (~((~((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, pv19) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv19, minus(n410, 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) & leq(n0, s_best7) & leq(n0, s_sworst7) & leq(n0, s_worst7) & leq(n0, pv19) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv19, minus(n410, 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)))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.21/0.52 tff(18,plain,
% 0.21/0.52 ((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, pv19) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv19, minus(n410, 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)))),
% 0.21/0.52 inference(or_elim,[status(thm)],[17])).
% 0.21/0.52 tff(19,plain,
% 0.21/0.52 (![E: $i] : ((~(leq(n0, E) & leq(E, minus(n3, n1)))) | (a_select2(s_try7_init, E) = init))),
% 0.21/0.52 inference(and_elim,[status(thm)],[18])).
% 0.21/0.52 tff(20,plain,
% 0.21/0.52 (![E: $i] : ((~(leq(n0, E) & leq(E, minus(n3, n1)))) | (a_select2(s_try7_init, E) = init))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[19, 14])).
% 0.21/0.52 tff(21,plain,
% 0.21/0.52 (![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))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[20, 13])).
% 0.21/0.52 tff(22,plain,(
% 0.21/0.52 ![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))),
% 0.21/0.52 inference(skolemize,[status(sab)],[21])).
% 0.21/0.52 tff(23,plain,
% 0.21/0.52 (![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))))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[22, 11])).
% 0.21/0.52 tff(24,plain,
% 0.21/0.52 (![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))))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[23, 9])).
% 0.21/0.52 tff(25,plain,
% 0.21/0.52 (((~![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))))))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(26,plain,
% 0.21/0.52 ((~![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))))))),
% 0.21/0.52 inference(quant_inst,[status(thm)],[])).
% 0.21/0.52 tff(27,plain,
% 0.21/0.52 ((~![E: $i] : ((a_select2(s_try7_init, E) = init) | (~leq(succ(tptp_minus_1), E)) | (~leq(E, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1))))))) | (a_select2(s_try7_init, J!17) = init) | (~leq(succ(tptp_minus_1), J!17)) | (~leq(J!17, minus(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.21/0.52 tff(28,plain,
% 0.21/0.52 ($false),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[27, 24, 7, 5, 3])).
% 0.21/0.52 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,[]))).
% 0.21/0.52 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)).
% 0.21/0.52 tff(31,plain,
% 0.21/0.52 (((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))))),
% 0.21/0.52 inference(tautology,[status(thm)],[])).
% 0.21/0.52 tff(32,plain,
% 0.21/0.52 (leq(I!16, succ(succ(succ(tptp_minus_1))))),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[31, 30])).
% 0.21/0.52 tff(33,plain,
% 0.21/0.52 (((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)),
% 0.21/0.52 inference(tautology,[status(thm)],[])).
% 0.21/0.52 tff(34,plain,
% 0.21/0.52 (leq(succ(tptp_minus_1), I!16)),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[33, 30])).
% 0.21/0.52 tff(35,plain,
% 0.21/0.52 (((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))),
% 0.21/0.52 inference(tautology,[status(thm)],[])).
% 0.21/0.52 tff(36,plain,
% 0.21/0.52 (~(a_select2(s_center7_init, I!16) = init)),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[35, 30])).
% 0.21/0.52 tff(37,plain,
% 0.21/0.52 (^[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)))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(38,plain,
% 0.21/0.52 (![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))))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[37])).
% 0.21/0.52 tff(39,plain,
% 0.21/0.52 (^[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))))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(40,plain,
% 0.21/0.53 (![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))))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[39])).
% 0.21/0.53 tff(41,plain,
% 0.21/0.53 (^[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)))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(42,plain,
% 0.21/0.53 (![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))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[41])).
% 0.21/0.53 tff(43,plain,
% 0.21/0.53 (![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))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(44,plain,
% 0.21/0.53 (![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | (a_select2(s_center7_init, D) = init))),
% 0.21/0.53 inference(and_elim,[status(thm)],[18])).
% 0.21/0.53 tff(45,plain,
% 0.21/0.53 (![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | (a_select2(s_center7_init, D) = init))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.21/0.53 tff(46,plain,
% 0.21/0.53 (![D: $i] : ((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, D) = init))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[45, 42])).
% 0.21/0.53 tff(47,plain,(
% 0.21/0.53 ![D: $i] : ((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) | (a_select2(s_center7_init, D) = init))),
% 0.21/0.53 inference(skolemize,[status(sab)],[46])).
% 0.21/0.53 tff(48,plain,
% 0.21/0.53 (![D: $i] : ((a_select2(s_center7_init, D) = init) | (~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1))))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[47, 40])).
% 0.21/0.53 tff(49,plain,
% 0.21/0.53 (![D: $i] : ((a_select2(s_center7_init, D) = init) | (~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1))))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[48, 38])).
% 0.21/0.53 tff(50,plain,
% 0.21/0.53 (((~![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))))))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(51,plain,
% 0.21/0.53 ((~![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))))))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(52,plain,
% 0.21/0.53 ((~![D: $i] : ((a_select2(s_center7_init, D) = init) | (~leq(succ(tptp_minus_1), D)) | (~leq(D, succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_center7_init, I!16) = init) | (~leq(succ(tptp_minus_1), I!16)) | (~leq(I!16, succ(succ(succ(tptp_minus_1)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.21/0.53 tff(53,plain,
% 0.21/0.53 ($false),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[52, 49, 36, 34, 32])).
% 0.21/0.53 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,[]))).
% 0.21/0.53 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)).
% 0.21/0.53 tff(56,plain,
% 0.21/0.53 (((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)))))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(57,plain,
% 0.21/0.53 (leq(H!15, succ(succ(succ(succ(tptp_minus_1)))))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[56, 55])).
% 0.21/0.53 tff(58,plain,
% 0.21/0.53 (((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)),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(59,plain,
% 0.21/0.53 (leq(succ(tptp_minus_1), H!15)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[58, 55])).
% 0.21/0.53 tff(60,plain,
% 0.21/0.53 (((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))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(61,plain,
% 0.21/0.53 (~(a_select2(s_values7_init, H!15) = init)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[60, 55])).
% 0.21/0.53 tff(62,plain,
% 0.21/0.53 (^[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))))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(63,plain,
% 0.21/0.53 (![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)))))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[62])).
% 0.21/0.53 tff(64,plain,
% 0.21/0.53 (^[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)))))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(65,plain,
% 0.21/0.53 (![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)))))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[64])).
% 0.21/0.53 tff(66,plain,
% 0.21/0.53 (^[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)))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(67,plain,
% 0.21/0.53 (![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))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[66])).
% 0.21/0.53 tff(68,plain,
% 0.21/0.53 (![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))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(69,plain,
% 0.21/0.53 (![C: $i] : ((~(leq(n0, C) & leq(C, n3))) | (a_select2(s_values7_init, C) = init))),
% 0.21/0.53 inference(and_elim,[status(thm)],[18])).
% 0.21/0.53 tff(70,plain,
% 0.21/0.53 (![C: $i] : ((~(leq(n0, C) & leq(C, n3))) | (a_select2(s_values7_init, C) = init))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.21/0.53 tff(71,plain,
% 0.21/0.53 (![C: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(C, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, C) = init))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[70, 67])).
% 0.21/0.53 tff(72,plain,(
% 0.21/0.53 ![C: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(C, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select2(s_values7_init, C) = init))),
% 0.21/0.53 inference(skolemize,[status(sab)],[71])).
% 0.21/0.53 tff(73,plain,
% 0.21/0.53 (![C: $i] : ((a_select2(s_values7_init, C) = init) | (~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[72, 65])).
% 0.21/0.53 tff(74,plain,
% 0.21/0.53 (![C: $i] : ((a_select2(s_values7_init, C) = init) | (~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[73, 63])).
% 0.21/0.53 tff(75,plain,
% 0.21/0.53 (((~![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)))))))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(76,plain,
% 0.21/0.53 ((~![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)))))))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(77,plain,
% 0.21/0.53 ((~![C: $i] : ((a_select2(s_values7_init, C) = init) | (~leq(succ(tptp_minus_1), C)) | (~leq(C, succ(succ(succ(succ(tptp_minus_1)))))))) | (a_select2(s_values7_init, H!15) = init) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(H!15, succ(succ(succ(succ(tptp_minus_1))))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.21/0.53 tff(78,plain,
% 0.21/0.53 ($false),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[77, 74, 61, 59, 57])).
% 0.21/0.53 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,[]))).
% 0.21/0.53 tff(80,plain,
% 0.21/0.53 (((~((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_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))))))))),
% 0.48/0.53 inference(rewrite,[status(thm)],[])).
% 0.48/0.53 tff(81,plain,
% 0.48/0.53 ((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)))))))),
% 0.48/0.53 inference(rewrite,[status(thm)],[])).
% 0.48/0.53 tff(82,plain,
% 0.48/0.53 ((~((~(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))))))))),
% 0.48/0.53 inference(rewrite,[status(thm)],[])).
% 0.48/0.53 tff(83,plain,
% 0.48/0.53 ((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)))))))))),
% 0.48/0.53 inference(monotonicity,[status(thm)],[82])).
% 0.48/0.53 tff(84,plain,
% 0.48/0.53 ((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)))))))),
% 0.48/0.53 inference(transitivity,[status(thm)],[83, 81])).
% 0.48/0.53 tff(85,plain,
% 0.48/0.53 ((~((~(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)))))))),
% 0.48/0.53 inference(rewrite,[status(thm)],[])).
% 0.48/0.53 tff(86,plain,
% 0.48/0.53 ((~((~(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)))))))),
% 0.48/0.53 inference(rewrite,[status(thm)],[])).
% 0.48/0.53 tff(87,plain,
% 0.48/0.53 ((~((~(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))))))))),
% 0.48/0.53 inference(rewrite,[status(thm)],[])).
% 0.48/0.53 tff(88,plain,
% 0.48/0.53 (((~((~(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_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))))))))),
% 0.48/0.53 inference(monotonicity,[status(thm)],[87, 86, 85, 84])).
% 0.48/0.53 tff(89,plain,
% 0.48/0.53 (((~((~(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_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))))))))),
% 0.48/0.53 inference(transitivity,[status(thm)],[88, 80])).
% 0.48/0.53 tff(90,plain,
% 0.48/0.53 (((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)))) <=> ((~((~(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)))))),
% 0.48/0.53 inference(rewrite,[status(thm)],[])).
% 0.48/0.53 tff(91,plain,
% 0.48/0.53 (((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))))),
% 0.48/0.53 inference(rewrite,[status(thm)],[])).
% 0.48/0.53 tff(92,plain,
% 0.48/0.53 ((~(~(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)))))),
% 0.48/0.53 inference(rewrite,[status(thm)],[])).
% 0.48/0.53 tff(93,plain,
% 0.48/0.53 (((~(~(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))))),
% 0.48/0.54 inference(monotonicity,[status(thm)],[92])).
% 0.48/0.54 tff(94,plain,
% 0.48/0.54 (((~(~(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))))),
% 0.48/0.54 inference(transitivity,[status(thm)],[93, 91])).
% 0.48/0.54 tff(95,plain,
% 0.48/0.54 ((((~(~(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)))) <=> ((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))))),
% 0.48/0.54 inference(monotonicity,[status(thm)],[94])).
% 0.48/0.54 tff(96,plain,
% 0.48/0.54 ((((~(~(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)))) <=> ((~((~(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)))))),
% 0.48/0.54 inference(transitivity,[status(thm)],[95, 90])).
% 0.48/0.54 tff(97,plain,
% 0.48/0.54 ((![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))) <=> (![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)))),
% 0.48/0.54 inference(rewrite,[status(thm)],[])).
% 0.48/0.54 tff(98,plain,
% 0.48/0.54 ((~(![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)))) <=> (~(![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))))),
% 0.48/0.54 inference(monotonicity,[status(thm)],[97])).
% 0.48/0.54 tff(99,plain,
% 0.48/0.54 ((~(![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)))) <=> (~(![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))))),
% 0.48/0.54 inference(rewrite,[status(thm)],[])).
% 0.48/0.54 tff(100,plain,
% 0.48/0.54 ((![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))) <=> (![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)))),
% 0.48/0.54 inference(rewrite,[status(thm)],[])).
% 0.48/0.54 tff(101,plain,
% 0.48/0.54 ((~(![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)))) <=> (~(![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))))),
% 0.48/0.54 inference(monotonicity,[status(thm)],[100])).
% 0.48/0.54 tff(102,plain,
% 0.48/0.54 ((~(![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)))) <=> (~(![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))))),
% 0.48/0.54 inference(rewrite,[status(thm)],[])).
% 0.48/0.54 tff(103,plain,
% 0.48/0.54 ((~((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, pv19) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv19, minus(n410, 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))))) <=> (~(![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))))),
% 0.48/0.54 inference(rewrite,[status(thm)],[])).
% 0.48/0.54 tff(104,plain,
% 0.48/0.54 (((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, pv19) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv19, minus(n410, 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, pv19) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv19, minus(n410, 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))))),
% 0.48/0.54 inference(rewrite,[status(thm)],[])).
% 0.48/0.54 tff(105,plain,
% 0.48/0.54 ((~((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, pv19) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv19, minus(n410, 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, pv19) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv19, minus(n410, 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)))))),
% 0.48/0.54 inference(monotonicity,[status(thm)],[104])).
% 0.48/0.54 tff(106,plain,
% 0.48/0.54 (~((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, pv19) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv19, minus(n410, 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))))),
% 0.48/0.54 inference(or_elim,[status(thm)],[17])).
% 0.48/0.54 tff(107,plain,
% 0.48/0.54 (~((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, pv19) & leq(s_best7, n3) & leq(s_sworst7, n3) & leq(s_worst7, n3) & leq(pv19, minus(n410, 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))))),
% 0.48/0.54 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.48/0.54 tff(108,plain,
% 0.48/0.54 (~(![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)))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[107, 103])).
% 0.50/0.55 tff(109,plain,
% 0.50/0.55 (~(![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)))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[108, 102])).
% 0.50/0.55 tff(110,plain,
% 0.50/0.55 (~(![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)))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[109, 101])).
% 0.50/0.55 tff(111,plain,
% 0.50/0.55 (~(![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)))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[110, 99])).
% 0.50/0.55 tff(112,plain,
% 0.50/0.55 (~(![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)))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[111, 98])).
% 0.50/0.55 tff(113,plain,
% 0.50/0.55 (~(![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)))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[112, 98])).
% 0.50/0.55 tff(114,plain,
% 0.50/0.55 (~(![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)))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[113, 98])).
% 0.50/0.55 unexpected number of arguments: (let ((a!1 (forall ((F $i))
% 0.50/0.55 (let ((a!1 (leq F (succ (succ (succ tptp_minus_1)))))
% 0.50/0.55 (a!3 (forall ((G $i))
% 0.50/0.55 (let ((a!1 (succ (succ (succ (succ tptp_minus_1))))))
% 0.50/0.55 (let ((a!2 (not (and (leq (succ tptp_minus_1) G)
% 0.50/0.55 (leq G a!1)))))
% 0.50/0.55 (or a!2 (= (a_select3 simplex7_init G F) init)))))))
% 0.50/0.55 (let ((a!2 (not (and (leq (succ tptp_minus_1) F) a!1))))
% 0.50/0.55 (or a!2 a!3)))))
% 0.50/0.55 (a!2 (leq F!13 (succ (succ (succ tptp_minus_1)))))
% 0.50/0.55 (a!4 (forall ((G $i))
% 0.50/0.55 (let ((a!1 (succ (succ (succ (succ tptp_minus_1))))))
% 0.50/0.55 (let ((a!2 (not (and (leq (succ tptp_minus_1) G) (leq G a!1)))))
% 0.50/0.55 (or a!2 (= (a_select3 simplex7_init G F!13) init))))))
% 0.50/0.55 (a!6 (succ (succ (succ (succ tptp_minus_1)))))
% 0.50/0.55 (a!11 (forall ((H $i))
% 0.50/0.55 (let ((a!1 (succ (succ (succ (succ tptp_minus_1))))))
% 0.50/0.55 (let ((a!2 (not (and (leq (succ tptp_minus_1) H) (leq H a!1)))))
% 0.50/0.55 (or a!2 (= (a_select2 s_values7_init H) init))))))
% 0.50/0.55 (a!14 (forall ((I $i))
% 0.50/0.55 (let ((a!1 (leq I (succ (succ (succ tptp_minus_1))))))
% 0.50/0.55 (let ((a!2 (not (and (leq (succ tptp_minus_1) I) a!1))))
% 0.50/0.55 (or a!2 (= (a_select2 s_center7_init I) init))))))
% 0.50/0.55 (a!15 (leq I!16 (succ (succ (succ tptp_minus_1)))))
% 0.50/0.55 (a!18 (forall ((J $i))
% 0.50/0.55 (let ((a!1 (succ (succ (succ (succ tptp_minus_1))))))
% 0.50/0.55 (let ((a!2 (leq J (minus a!1 (succ (succ tptp_minus_1))))))
% 0.50/0.55 (let ((a!3 (not (and (leq (succ tptp_minus_1) J) a!2))))
% 0.50/0.55 (or a!3 (= (a_select2 s_try7_init J) init))))))))
% 0.50/0.55 (let ((a!3 (not (and (leq (succ tptp_minus_1) F!13) a!2)))
% 0.50/0.55 (a!7 (not (and (leq (succ tptp_minus_1) G!14) (leq G!14 a!6))))
% 0.50/0.55 (a!12 (not (and (leq (succ tptp_minus_1) H!15) (leq H!15 a!6))))
% 0.50/0.55 (a!16 (not (and (leq (succ tptp_minus_1) I!16) a!15)))
% 0.50/0.55 (a!19 (leq J!17 (minus a!6 (succ (succ tptp_minus_1))))))
% 0.50/0.55 (let ((a!5 (sk (~ (not a!1) (not (or a!3 a!4)))))
% 0.50/0.55 (a!8 (not (or a!7 (= (a_select3 simplex7_init G!14 F!13) init))))
% 0.50/0.55 (a!13 (not (or a!12 (= (a_select2 s_values7_init H!15) init))))
% 0.50/0.55 (a!17 (not (or a!16 (= (a_select2 s_center7_init I!16) init))))
% 0.50/0.55 (a!20 (not (and (leq (succ tptp_minus_1) J!17) a!19))))
% 0.50/0.55 (let ((a!9 (nnf-neg (refl (~ (not a!3) (not a!3)))
% 0.50/0.55 (sk (~ (not a!4) a!8))
% 0.50/0.55 (~ (not (or a!3 a!4)) (and (not a!3) a!8))))
% 0.50/0.55 (a!21 (not (or a!20 (= (a_select2 s_try7_init J!17) init)))))
% 0.50/0.55 (let ((a!10 (trans a!5 a!9 (~ (not a!1) (and (not a!3) a!8))))
% 0.50/0.55 (a!22 (~ (not (and a!1 a!11 a!14 a!18))
% 0.50/0.55 (or (and (not a!3) a!8) a!13 a!17 a!21))))
% 0.50/0.55 (nnf-neg a!10
% 0.50/0.55 (sk (~ (not a!11) a!13))
% 0.50/0.55 (sk (~ (not a!14) a!17))
% 0.50/0.55 (sk (~ (not a!18) a!21))
% 0.50/0.55 a!22))))))
% 0.50/0.55 Proof display could not be completed: unexpected number of arguments
%------------------------------------------------------------------------------