TSTP Solution File: SWV030+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV030+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n018.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 15:09:42 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV030+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.13/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Sep 4 01:10:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.20/0.35 Usage: tptp [options] [-file:]file
% 0.20/0.35 -h, -? prints this message.
% 0.20/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.20/0.35 -m, -model generate model.
% 0.20/0.35 -p, -proof generate proof.
% 0.20/0.35 -c, -core generate unsat core of named formulas.
% 0.20/0.35 -st, -statistics display statistics.
% 0.20/0.35 -t:timeout set timeout (in second).
% 0.20/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.20/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.20/0.35 -<param>:<value> configuration parameter and value.
% 0.20/0.35 -o:<output-file> file to place output in.
% 0.20/0.53 % SZS status Theorem
% 0.20/0.53 % SZS output start Proof
% 0.20/0.53 tff(leq_type, type, (
% 0.20/0.53 leq: ( $i * $i ) > $o)).
% 0.20/0.53 tff(minus_type, type, (
% 0.20/0.53 minus: ( $i * $i ) > $i)).
% 0.20/0.53 tff(succ_type, type, (
% 0.20/0.53 succ: $i > $i)).
% 0.20/0.53 tff(tptp_minus_1_type, type, (
% 0.20/0.53 tptp_minus_1: $i)).
% 0.20/0.53 tff(pv1376_type, type, (
% 0.20/0.53 pv1376: $i)).
% 0.20/0.53 tff(tptp_fun_F_15_type, type, (
% 0.20/0.53 tptp_fun_F_15: $i)).
% 0.20/0.53 tff(init_type, type, (
% 0.20/0.53 init: $i)).
% 0.20/0.53 tff(a_select2_type, type, (
% 0.20/0.53 a_select2: ( $i * $i ) > $i)).
% 0.20/0.53 tff(s_values7_init_type, type, (
% 0.20/0.53 s_values7_init: $i)).
% 0.20/0.53 tff(tptp_fun_D_13_type, type, (
% 0.20/0.53 tptp_fun_D_13: $i)).
% 0.20/0.53 tff(tptp_fun_E_14_type, type, (
% 0.20/0.53 tptp_fun_E_14: $i)).
% 0.20/0.53 tff(a_select3_type, type, (
% 0.20/0.53 a_select3: ( $i * $i * $i ) > $i)).
% 0.20/0.53 tff(simplex7_init_type, type, (
% 0.20/0.53 simplex7_init: $i)).
% 0.20/0.53 tff(n3_type, type, (
% 0.20/0.53 n3: $i)).
% 0.20/0.53 tff(n0_type, type, (
% 0.20/0.53 n0: $i)).
% 0.20/0.53 tff(n2_type, type, (
% 0.20/0.53 n2: $i)).
% 0.20/0.53 tff(n1_type, type, (
% 0.20/0.53 n1: $i)).
% 0.20/0.53 tff(n330_type, type, (
% 0.20/0.53 n330: $i)).
% 0.20/0.53 tff(pv20_type, type, (
% 0.20/0.53 pv20: $i)).
% 0.20/0.53 tff(n410_type, type, (
% 0.20/0.53 n410: $i)).
% 0.20/0.53 tff(pv19_type, type, (
% 0.20/0.53 pv19: $i)).
% 0.20/0.53 tff(pv7_type, type, (
% 0.20/0.53 pv7: $i)).
% 0.20/0.53 tff(1,assumption,(~((a_select3(simplex7_init, E!14, D!13) = init) | (~leq(succ(tptp_minus_1), E!14)) | (~leq(E!14, succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), D!13)) | (~leq(D!13, succ(succ(succ(tptp_minus_1))))))), introduced(assumption)).
% 0.20/0.53 tff(2,plain,
% 0.20/0.53 (((a_select3(simplex7_init, E!14, D!13) = init) | (~leq(succ(tptp_minus_1), E!14)) | (~leq(E!14, succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), D!13)) | (~leq(D!13, succ(succ(succ(tptp_minus_1)))))) | leq(D!13, succ(succ(succ(tptp_minus_1))))),
% 0.20/0.53 inference(tautology,[status(thm)],[])).
% 0.20/0.53 tff(3,plain,
% 0.20/0.53 (leq(D!13, succ(succ(succ(tptp_minus_1))))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[2, 1])).
% 0.20/0.53 tff(4,plain,
% 0.20/0.53 (((a_select3(simplex7_init, E!14, D!13) = init) | (~leq(succ(tptp_minus_1), E!14)) | (~leq(E!14, succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), D!13)) | (~leq(D!13, succ(succ(succ(tptp_minus_1)))))) | leq(succ(tptp_minus_1), D!13)),
% 0.20/0.53 inference(tautology,[status(thm)],[])).
% 0.20/0.53 tff(5,plain,
% 0.20/0.53 (leq(succ(tptp_minus_1), D!13)),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.20/0.53 tff(6,plain,
% 0.20/0.53 (^[A: $i] : refl(((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1)))))))) <=> ((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1)))))))))),
% 0.20/0.53 inference(bind,[status(th)],[])).
% 0.20/0.53 tff(7,plain,
% 0.20/0.53 (![A: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1)))))))) <=> ![A: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.53 inference(quant_intro,[status(thm)],[6])).
% 0.20/0.53 tff(8,plain,
% 0.20/0.53 (^[A: $i] : rewrite(((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1)))))))) <=> ((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1)))))))))),
% 0.20/0.53 inference(bind,[status(th)],[])).
% 0.20/0.53 tff(9,plain,
% 0.20/0.53 (![A: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1)))))))) <=> ![A: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.53 inference(quant_intro,[status(thm)],[8])).
% 0.20/0.53 tff(10,plain,
% 0.20/0.53 (![A: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1)))))))) <=> ![A: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.53 inference(transitivity,[status(thm)],[9, 7])).
% 0.20/0.53 tff(11,plain,
% 0.20/0.53 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((leq(succ(tptp_minus_1), A) & leq(A, succ(succ(succ(tptp_minus_1))))) <=> (~((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1)))))))), ((~(leq(succ(tptp_minus_1), A) & leq(A, succ(succ(succ(tptp_minus_1)))))) <=> (~(~((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1)))))))))), rewrite((~(~((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1)))))))) <=> ((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1))))))), ((~(leq(succ(tptp_minus_1), A) & leq(A, succ(succ(succ(tptp_minus_1)))))) <=> ((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1)))))))), quant_intro(proof_bind(^[B: $i] : trans(monotonicity(trans(monotonicity(rewrite((leq(succ(tptp_minus_1), B) & leq(B, succ(succ(succ(succ(tptp_minus_1)))))) <=> (~((~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))))), ((~(leq(succ(tptp_minus_1), B) & leq(B, succ(succ(succ(succ(tptp_minus_1))))))) <=> (~(~((~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))))))), rewrite((~(~((~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))))) <=> ((~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1)))))))), ((~(leq(succ(tptp_minus_1), B) & leq(B, succ(succ(succ(succ(tptp_minus_1))))))) <=> ((~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))))), (((~(leq(succ(tptp_minus_1), B) & leq(B, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, B, A) = init)) <=> (((~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, B, A) = init)))), rewrite((((~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, B, A) = init)) <=> ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1)))))))), (((~(leq(succ(tptp_minus_1), B) & leq(B, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, B, A) = init)) <=> ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1)))))))))), (![B: $i] : ((~(leq(succ(tptp_minus_1), B) & leq(B, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, B, A) = init)) <=> ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))))), (((~(leq(succ(tptp_minus_1), A) & leq(A, succ(succ(succ(tptp_minus_1)))))) | ![B: $i] : ((~(leq(succ(tptp_minus_1), B) & leq(B, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, B, A) = init))) <=> (((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1)))))) | ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1)))))))))), rewrite((((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1)))))) | ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1)))))))) <=> ((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))))), (((~(leq(succ(tptp_minus_1), A) & leq(A, succ(succ(succ(tptp_minus_1)))))) | ![B: $i] : ((~(leq(succ(tptp_minus_1), B) & leq(B, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, B, A) = init))) <=> ((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))))))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(12,plain,
% 0.20/0.54 (![A: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(A, succ(succ(succ(tptp_minus_1)))))) | ![B: $i] : ((~(leq(succ(tptp_minus_1), B) & leq(B, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, B, A) = init))) <=> ![A: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[11])).
% 0.20/0.54 tff(13,plain,
% 0.20/0.54 (^[A: $i] : rewrite(((~(leq(n0, A) & leq(A, n2))) | ![B: $i] : ((~(leq(n0, B) & leq(B, n3))) | (a_select3(simplex7_init, B, A) = init))) <=> ((~(leq(succ(tptp_minus_1), A) & leq(A, succ(succ(succ(tptp_minus_1)))))) | ![B: $i] : ((~(leq(succ(tptp_minus_1), B) & leq(B, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, B, A) = init))))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(14,plain,
% 0.20/0.54 (![A: $i] : ((~(leq(n0, A) & leq(A, n2))) | ![B: $i] : ((~(leq(n0, B) & leq(B, n3))) | (a_select3(simplex7_init, B, A) = init))) <=> ![A: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(A, succ(succ(succ(tptp_minus_1)))))) | ![B: $i] : ((~(leq(succ(tptp_minus_1), B) & leq(B, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, B, A) = init)))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[13])).
% 0.20/0.54 tff(15,plain,
% 0.20/0.54 (![A: $i] : ((~(leq(n0, A) & leq(A, n2))) | ![B: $i] : ((~(leq(n0, B) & leq(B, n3))) | (a_select3(simplex7_init, B, A) = init))) <=> ![A: $i] : ((~(leq(n0, A) & leq(A, n2))) | ![B: $i] : ((~(leq(n0, B) & leq(B, n3))) | (a_select3(simplex7_init, B, A) = init)))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(16,plain,
% 0.20/0.54 ((~((((((((((((init = init) & leq(n0, pv7)) & leq(n0, pv19)) & leq(n0, pv20)) & leq(n0, pv1376)) & leq(pv7, minus(n410, n1))) & leq(pv19, minus(n410, n1))) & leq(pv20, minus(n330, n1))) & leq(pv1376, n3)) & ![A: $i] : ((leq(n0, A) & leq(A, n2)) => ![B: $i] : ((leq(n0, B) & leq(B, n3)) => (a_select3(simplex7_init, B, A) = init)))) & ![C: $i] : ((leq(n0, C) & leq(C, minus(pv1376, n1))) => (a_select2(s_values7_init, C) = init))) => (((((((((((init = init) & leq(n0, pv7)) & leq(n0, pv19)) & leq(n0, pv20)) & leq(n0, pv1376)) & leq(pv7, minus(n410, n1))) & leq(pv19, minus(n410, n1))) & leq(pv20, minus(n330, n1))) & leq(pv1376, n3)) & ![D: $i] : ((leq(n0, D) & leq(D, n2)) => ![E: $i] : ((leq(n0, E) & leq(E, n3)) => (a_select3(simplex7_init, E, D) = init)))) & ![F: $i] : ((leq(n0, F) & leq(F, minus(pv1376, n1))) => (a_select2(s_values7_init, F) = init))))) <=> (~((~(leq(n0, pv7) & leq(n0, pv19) & leq(n0, pv20) & leq(n0, pv1376) & leq(pv7, minus(n410, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & leq(pv1376, n3) & ![A: $i] : ((~(leq(n0, A) & leq(A, n2))) | ![B: $i] : ((~(leq(n0, B) & leq(B, n3))) | (a_select3(simplex7_init, B, A) = init))) & ![C: $i] : ((~(leq(n0, C) & leq(C, minus(pv1376, n1)))) | (a_select2(s_values7_init, C) = init)))) | (leq(n0, pv7) & leq(n0, pv19) & leq(n0, pv20) & leq(n0, pv1376) & leq(pv7, minus(n410, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & leq(pv1376, n3) & ![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | ![E: $i] : ((~(leq(n0, E) & leq(E, n3))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(n0, F) & leq(F, minus(pv1376, n1)))) | (a_select2(s_values7_init, F) = init)))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(17,axiom,(~((((((((((((init = init) & leq(n0, pv7)) & leq(n0, pv19)) & leq(n0, pv20)) & leq(n0, pv1376)) & leq(pv7, minus(n410, n1))) & leq(pv19, minus(n410, n1))) & leq(pv20, minus(n330, n1))) & leq(pv1376, n3)) & ![A: $i] : ((leq(n0, A) & leq(A, n2)) => ![B: $i] : ((leq(n0, B) & leq(B, n3)) => (a_select3(simplex7_init, B, A) = init)))) & ![C: $i] : ((leq(n0, C) & leq(C, minus(pv1376, n1))) => (a_select2(s_values7_init, C) = init))) => (((((((((((init = init) & leq(n0, pv7)) & leq(n0, pv19)) & leq(n0, pv20)) & leq(n0, pv1376)) & leq(pv7, minus(n410, n1))) & leq(pv19, minus(n410, n1))) & leq(pv20, minus(n330, n1))) & leq(pv1376, n3)) & ![D: $i] : ((leq(n0, D) & leq(D, n2)) => ![E: $i] : ((leq(n0, E) & leq(E, n3)) => (a_select3(simplex7_init, E, D) = init)))) & ![F: $i] : ((leq(n0, F) & leq(F, minus(pv1376, n1))) => (a_select2(s_values7_init, F) = init))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gauss_init_0033')).
% 0.20/0.54 tff(18,plain,
% 0.20/0.54 (~((~(leq(n0, pv7) & leq(n0, pv19) & leq(n0, pv20) & leq(n0, pv1376) & leq(pv7, minus(n410, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & leq(pv1376, n3) & ![A: $i] : ((~(leq(n0, A) & leq(A, n2))) | ![B: $i] : ((~(leq(n0, B) & leq(B, n3))) | (a_select3(simplex7_init, B, A) = init))) & ![C: $i] : ((~(leq(n0, C) & leq(C, minus(pv1376, n1)))) | (a_select2(s_values7_init, C) = init)))) | (leq(n0, pv7) & leq(n0, pv19) & leq(n0, pv20) & leq(n0, pv1376) & leq(pv7, minus(n410, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & leq(pv1376, n3) & ![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | ![E: $i] : ((~(leq(n0, E) & leq(E, n3))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(n0, F) & leq(F, minus(pv1376, n1)))) | (a_select2(s_values7_init, F) = init))))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.20/0.54 tff(19,plain,
% 0.20/0.54 (leq(n0, pv7) & leq(n0, pv19) & leq(n0, pv20) & leq(n0, pv1376) & leq(pv7, minus(n410, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & leq(pv1376, n3) & ![A: $i] : ((~(leq(n0, A) & leq(A, n2))) | ![B: $i] : ((~(leq(n0, B) & leq(B, n3))) | (a_select3(simplex7_init, B, A) = init))) & ![C: $i] : ((~(leq(n0, C) & leq(C, minus(pv1376, n1)))) | (a_select2(s_values7_init, C) = init))),
% 0.20/0.54 inference(or_elim,[status(thm)],[18])).
% 0.20/0.54 tff(20,plain,
% 0.20/0.54 (![A: $i] : ((~(leq(n0, A) & leq(A, n2))) | ![B: $i] : ((~(leq(n0, B) & leq(B, n3))) | (a_select3(simplex7_init, B, A) = init)))),
% 0.20/0.54 inference(and_elim,[status(thm)],[19])).
% 0.20/0.54 tff(21,plain,
% 0.20/0.54 (![A: $i] : ((~(leq(n0, A) & leq(A, n2))) | ![B: $i] : ((~(leq(n0, B) & leq(B, n3))) | (a_select3(simplex7_init, B, A) = init)))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[20, 15])).
% 0.20/0.54 tff(22,plain,
% 0.20/0.54 (![A: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(A, succ(succ(succ(tptp_minus_1)))))) | ![B: $i] : ((~(leq(succ(tptp_minus_1), B) & leq(B, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, B, A) = init)))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[21, 14])).
% 0.20/0.54 tff(23,plain,(
% 0.20/0.54 ![A: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(A, succ(succ(succ(tptp_minus_1)))))) | ![B: $i] : ((~(leq(succ(tptp_minus_1), B) & leq(B, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, B, A) = init)))),
% 0.20/0.54 inference(skolemize,[status(sab)],[22])).
% 0.20/0.54 tff(24,plain,
% 0.20/0.54 (![A: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[23, 12])).
% 0.20/0.54 tff(25,plain,
% 0.20/0.54 (![A: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[24, 10])).
% 0.20/0.54 tff(26,plain,
% 0.20/0.54 (((~![A: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))))) | ((~leq(succ(tptp_minus_1), D!13)) | (~leq(D!13, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, D!13) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))))) <=> ((~![A: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))))) | (~leq(succ(tptp_minus_1), D!13)) | (~leq(D!13, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, D!13) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(27,plain,
% 0.20/0.54 ((~![A: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))))) | ((~leq(succ(tptp_minus_1), D!13)) | (~leq(D!13, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, D!13) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(28,plain,
% 0.20/0.54 ((~![A: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, A) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1))))))))) | (~leq(succ(tptp_minus_1), D!13)) | (~leq(D!13, succ(succ(succ(tptp_minus_1))))) | ![B: $i] : ((a_select3(simplex7_init, B, D!13) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.20/0.54 tff(29,plain,
% 0.20/0.54 (![B: $i] : ((a_select3(simplex7_init, B, D!13) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[28, 25, 5, 3])).
% 0.20/0.54 tff(30,plain,
% 0.20/0.54 (((a_select3(simplex7_init, E!14, D!13) = init) | (~leq(succ(tptp_minus_1), E!14)) | (~leq(E!14, succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), D!13)) | (~leq(D!13, succ(succ(succ(tptp_minus_1)))))) | leq(E!14, succ(succ(succ(succ(tptp_minus_1)))))),
% 0.20/0.54 inference(tautology,[status(thm)],[])).
% 0.20/0.54 tff(31,plain,
% 0.20/0.54 (leq(E!14, succ(succ(succ(succ(tptp_minus_1)))))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[30, 1])).
% 0.20/0.54 tff(32,plain,
% 0.20/0.54 (((a_select3(simplex7_init, E!14, D!13) = init) | (~leq(succ(tptp_minus_1), E!14)) | (~leq(E!14, succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), D!13)) | (~leq(D!13, succ(succ(succ(tptp_minus_1)))))) | leq(succ(tptp_minus_1), E!14)),
% 0.20/0.54 inference(tautology,[status(thm)],[])).
% 0.20/0.54 tff(33,plain,
% 0.20/0.54 (leq(succ(tptp_minus_1), E!14)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[32, 1])).
% 0.20/0.54 tff(34,plain,
% 0.20/0.54 (((a_select3(simplex7_init, E!14, D!13) = init) | (~leq(succ(tptp_minus_1), E!14)) | (~leq(E!14, succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), D!13)) | (~leq(D!13, succ(succ(succ(tptp_minus_1)))))) | (~(a_select3(simplex7_init, E!14, D!13) = init))),
% 0.20/0.54 inference(tautology,[status(thm)],[])).
% 0.20/0.54 tff(35,plain,
% 0.20/0.54 (~(a_select3(simplex7_init, E!14, D!13) = init)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[34, 1])).
% 0.20/0.54 tff(36,plain,
% 0.20/0.54 (((~![B: $i] : ((a_select3(simplex7_init, B, D!13) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1)))))))) | ((a_select3(simplex7_init, E!14, D!13) = init) | (~leq(succ(tptp_minus_1), E!14)) | (~leq(E!14, succ(succ(succ(succ(tptp_minus_1)))))))) <=> ((~![B: $i] : ((a_select3(simplex7_init, B, D!13) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1)))))))) | (a_select3(simplex7_init, E!14, D!13) = init) | (~leq(succ(tptp_minus_1), E!14)) | (~leq(E!14, succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(37,plain,
% 0.20/0.54 ((~![B: $i] : ((a_select3(simplex7_init, B, D!13) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1)))))))) | ((a_select3(simplex7_init, E!14, D!13) = init) | (~leq(succ(tptp_minus_1), E!14)) | (~leq(E!14, succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(38,plain,
% 0.20/0.54 ((~![B: $i] : ((a_select3(simplex7_init, B, D!13) = init) | (~leq(succ(tptp_minus_1), B)) | (~leq(B, succ(succ(succ(succ(tptp_minus_1)))))))) | (a_select3(simplex7_init, E!14, D!13) = init) | (~leq(succ(tptp_minus_1), E!14)) | (~leq(E!14, succ(succ(succ(succ(tptp_minus_1))))))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.20/0.54 tff(39,plain,
% 0.20/0.54 ($false),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[38, 35, 33, 31, 29])).
% 0.20/0.54 tff(40,plain,((a_select3(simplex7_init, E!14, D!13) = init) | (~leq(succ(tptp_minus_1), E!14)) | (~leq(E!14, succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), D!13)) | (~leq(D!13, succ(succ(succ(tptp_minus_1)))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.54 tff(41,plain,
% 0.20/0.54 (((~((~(leq(succ(tptp_minus_1), F!15) & leq(F!15, minus(pv1376, succ(succ(tptp_minus_1)))))) | (a_select2(s_values7_init, F!15) = init))) | (leq(succ(tptp_minus_1), D!13) & leq(D!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), E!14) & leq(E!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E!14, D!13) = init))))) <=> ((~((a_select2(s_values7_init, F!15) = init) | (~leq(succ(tptp_minus_1), F!15)) | (~leq(F!15, minus(pv1376, succ(succ(tptp_minus_1))))))) | (~((a_select3(simplex7_init, E!14, D!13) = init) | (~leq(succ(tptp_minus_1), E!14)) | (~leq(E!14, succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), D!13)) | (~leq(D!13, succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(42,plain,
% 0.20/0.54 (((leq(succ(tptp_minus_1), D!13) & leq(D!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), E!14) & leq(E!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E!14, D!13) = init)))) | (~((~(leq(succ(tptp_minus_1), F!15) & leq(F!15, minus(pv1376, succ(succ(tptp_minus_1)))))) | (a_select2(s_values7_init, F!15) = init)))) <=> ((~((~(leq(succ(tptp_minus_1), F!15) & leq(F!15, minus(pv1376, succ(succ(tptp_minus_1)))))) | (a_select2(s_values7_init, F!15) = init))) | (leq(succ(tptp_minus_1), D!13) & leq(D!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), E!14) & leq(E!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E!14, D!13) = init)))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(43,plain,
% 0.20/0.54 (((leq(succ(tptp_minus_1), D!13) & leq(D!13, succ(succ(succ(tptp_minus_1))))) & (~((~(leq(succ(tptp_minus_1), E!14) & leq(E!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E!14, D!13) = init)))) <=> (leq(succ(tptp_minus_1), D!13) & leq(D!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), E!14) & leq(E!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E!14, D!13) = init))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(44,plain,
% 0.20/0.54 ((~(~(leq(succ(tptp_minus_1), D!13) & leq(D!13, succ(succ(succ(tptp_minus_1))))))) <=> (leq(succ(tptp_minus_1), D!13) & leq(D!13, succ(succ(succ(tptp_minus_1)))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(45,plain,
% 0.20/0.54 (((~(~(leq(succ(tptp_minus_1), D!13) & leq(D!13, succ(succ(succ(tptp_minus_1))))))) & (~((~(leq(succ(tptp_minus_1), E!14) & leq(E!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E!14, D!13) = init)))) <=> ((leq(succ(tptp_minus_1), D!13) & leq(D!13, succ(succ(succ(tptp_minus_1))))) & (~((~(leq(succ(tptp_minus_1), E!14) & leq(E!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E!14, D!13) = init))))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[44])).
% 0.20/0.54 tff(46,plain,
% 0.20/0.54 (((~(~(leq(succ(tptp_minus_1), D!13) & leq(D!13, succ(succ(succ(tptp_minus_1))))))) & (~((~(leq(succ(tptp_minus_1), E!14) & leq(E!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E!14, D!13) = init)))) <=> (leq(succ(tptp_minus_1), D!13) & leq(D!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), E!14) & leq(E!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E!14, D!13) = init))))),
% 0.20/0.54 inference(transitivity,[status(thm)],[45, 43])).
% 0.20/0.54 tff(47,plain,
% 0.20/0.54 ((((~(~(leq(succ(tptp_minus_1), D!13) & leq(D!13, succ(succ(succ(tptp_minus_1))))))) & (~((~(leq(succ(tptp_minus_1), E!14) & leq(E!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E!14, D!13) = init)))) | (~((~(leq(succ(tptp_minus_1), F!15) & leq(F!15, minus(pv1376, succ(succ(tptp_minus_1)))))) | (a_select2(s_values7_init, F!15) = init)))) <=> ((leq(succ(tptp_minus_1), D!13) & leq(D!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), E!14) & leq(E!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E!14, D!13) = init)))) | (~((~(leq(succ(tptp_minus_1), F!15) & leq(F!15, minus(pv1376, succ(succ(tptp_minus_1)))))) | (a_select2(s_values7_init, F!15) = init))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[46])).
% 0.20/0.55 tff(48,plain,
% 0.20/0.55 ((((~(~(leq(succ(tptp_minus_1), D!13) & leq(D!13, succ(succ(succ(tptp_minus_1))))))) & (~((~(leq(succ(tptp_minus_1), E!14) & leq(E!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E!14, D!13) = init)))) | (~((~(leq(succ(tptp_minus_1), F!15) & leq(F!15, minus(pv1376, succ(succ(tptp_minus_1)))))) | (a_select2(s_values7_init, F!15) = init)))) <=> ((~((~(leq(succ(tptp_minus_1), F!15) & leq(F!15, minus(pv1376, succ(succ(tptp_minus_1)))))) | (a_select2(s_values7_init, F!15) = init))) | (leq(succ(tptp_minus_1), D!13) & leq(D!13, succ(succ(succ(tptp_minus_1)))) & (~((~(leq(succ(tptp_minus_1), E!14) & leq(E!14, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E!14, D!13) = init)))))),
% 0.20/0.55 inference(transitivity,[status(thm)],[47, 42])).
% 0.20/0.55 tff(49,plain,
% 0.20/0.55 ((![D: $i] : ((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) | ![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, minus(pv1376, succ(succ(tptp_minus_1)))))) | (a_select2(s_values7_init, F) = init))) <=> (![D: $i] : ((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) | ![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, minus(pv1376, succ(succ(tptp_minus_1)))))) | (a_select2(s_values7_init, F) = init)))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(50,plain,
% 0.20/0.55 ((~(![D: $i] : ((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) | ![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, minus(pv1376, succ(succ(tptp_minus_1)))))) | (a_select2(s_values7_init, F) = init)))) <=> (~(![D: $i] : ((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) | ![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, minus(pv1376, succ(succ(tptp_minus_1)))))) | (a_select2(s_values7_init, F) = init))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[49])).
% 0.20/0.55 tff(51,plain,
% 0.20/0.55 ((~(![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | ![E: $i] : ((~(leq(n0, E) & leq(E, n3))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(n0, F) & leq(F, minus(pv1376, n1)))) | (a_select2(s_values7_init, F) = init)))) <=> (~(![D: $i] : ((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) | ![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, minus(pv1376, succ(succ(tptp_minus_1)))))) | (a_select2(s_values7_init, F) = init))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(52,plain,
% 0.20/0.55 ((![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | ![E: $i] : ((~(leq(n0, E) & leq(E, n3))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(n0, F) & leq(F, minus(pv1376, n1)))) | (a_select2(s_values7_init, F) = init))) <=> (![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | ![E: $i] : ((~(leq(n0, E) & leq(E, n3))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(n0, F) & leq(F, minus(pv1376, n1)))) | (a_select2(s_values7_init, F) = init)))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(53,plain,
% 0.20/0.55 ((~(![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | ![E: $i] : ((~(leq(n0, E) & leq(E, n3))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(n0, F) & leq(F, minus(pv1376, n1)))) | (a_select2(s_values7_init, F) = init)))) <=> (~(![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | ![E: $i] : ((~(leq(n0, E) & leq(E, n3))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(n0, F) & leq(F, minus(pv1376, n1)))) | (a_select2(s_values7_init, F) = init))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[52])).
% 0.20/0.55 tff(54,plain,
% 0.20/0.55 ((~(![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | ![E: $i] : ((~(leq(n0, E) & leq(E, n3))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(n0, F) & leq(F, minus(pv1376, n1)))) | (a_select2(s_values7_init, F) = init)))) <=> (~(![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | ![E: $i] : ((~(leq(n0, E) & leq(E, n3))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(n0, F) & leq(F, minus(pv1376, n1)))) | (a_select2(s_values7_init, F) = init))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(55,plain,
% 0.20/0.55 ((~(leq(n0, pv7) & leq(n0, pv19) & leq(n0, pv20) & leq(n0, pv1376) & leq(pv7, minus(n410, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & leq(pv1376, n3) & ![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | ![E: $i] : ((~(leq(n0, E) & leq(E, n3))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(n0, F) & leq(F, minus(pv1376, n1)))) | (a_select2(s_values7_init, F) = init)))) <=> (~(![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | ![E: $i] : ((~(leq(n0, E) & leq(E, n3))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(n0, F) & leq(F, minus(pv1376, n1)))) | (a_select2(s_values7_init, F) = init))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(56,plain,
% 0.20/0.55 ((leq(n0, pv7) & leq(n0, pv19) & leq(n0, pv20) & leq(n0, pv1376) & leq(pv7, minus(n410, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & leq(pv1376, n3) & ![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | ![E: $i] : ((~(leq(n0, E) & leq(E, n3))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(n0, F) & leq(F, minus(pv1376, n1)))) | (a_select2(s_values7_init, F) = init))) <=> (leq(n0, pv7) & leq(n0, pv19) & leq(n0, pv20) & leq(n0, pv1376) & leq(pv7, minus(n410, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & leq(pv1376, n3) & ![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | ![E: $i] : ((~(leq(n0, E) & leq(E, n3))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(n0, F) & leq(F, minus(pv1376, n1)))) | (a_select2(s_values7_init, F) = init)))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(57,plain,
% 0.20/0.55 ((~(leq(n0, pv7) & leq(n0, pv19) & leq(n0, pv20) & leq(n0, pv1376) & leq(pv7, minus(n410, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & leq(pv1376, n3) & ![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | ![E: $i] : ((~(leq(n0, E) & leq(E, n3))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(n0, F) & leq(F, minus(pv1376, n1)))) | (a_select2(s_values7_init, F) = init)))) <=> (~(leq(n0, pv7) & leq(n0, pv19) & leq(n0, pv20) & leq(n0, pv1376) & leq(pv7, minus(n410, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & leq(pv1376, n3) & ![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | ![E: $i] : ((~(leq(n0, E) & leq(E, n3))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(n0, F) & leq(F, minus(pv1376, n1)))) | (a_select2(s_values7_init, F) = init))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[56])).
% 0.20/0.55 tff(58,plain,
% 0.20/0.55 (~(leq(n0, pv7) & leq(n0, pv19) & leq(n0, pv20) & leq(n0, pv1376) & leq(pv7, minus(n410, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & leq(pv1376, n3) & ![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | ![E: $i] : ((~(leq(n0, E) & leq(E, n3))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(n0, F) & leq(F, minus(pv1376, n1)))) | (a_select2(s_values7_init, F) = init)))),
% 0.20/0.56 inference(or_elim,[status(thm)],[18])).
% 0.20/0.56 tff(59,plain,
% 0.20/0.56 (~(leq(n0, pv7) & leq(n0, pv19) & leq(n0, pv20) & leq(n0, pv1376) & leq(pv7, minus(n410, n1)) & leq(pv19, minus(n410, n1)) & leq(pv20, minus(n330, n1)) & leq(pv1376, n3) & ![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | ![E: $i] : ((~(leq(n0, E) & leq(E, n3))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(n0, F) & leq(F, minus(pv1376, n1)))) | (a_select2(s_values7_init, F) = init)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.20/0.56 tff(60,plain,
% 0.20/0.56 (~(![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | ![E: $i] : ((~(leq(n0, E) & leq(E, n3))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(n0, F) & leq(F, minus(pv1376, n1)))) | (a_select2(s_values7_init, F) = init)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[59, 55])).
% 0.20/0.56 tff(61,plain,
% 0.20/0.56 (~(![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | ![E: $i] : ((~(leq(n0, E) & leq(E, n3))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(n0, F) & leq(F, minus(pv1376, n1)))) | (a_select2(s_values7_init, F) = init)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[60, 54])).
% 0.20/0.56 tff(62,plain,
% 0.20/0.56 (~(![D: $i] : ((~(leq(n0, D) & leq(D, n2))) | ![E: $i] : ((~(leq(n0, E) & leq(E, n3))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(n0, F) & leq(F, minus(pv1376, n1)))) | (a_select2(s_values7_init, F) = init)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[61, 53])).
% 0.20/0.56 tff(63,plain,
% 0.20/0.56 (~(![D: $i] : ((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) | ![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, minus(pv1376, succ(succ(tptp_minus_1)))))) | (a_select2(s_values7_init, F) = init)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[62, 51])).
% 0.20/0.56 tff(64,plain,
% 0.20/0.56 (~(![D: $i] : ((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) | ![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, minus(pv1376, succ(succ(tptp_minus_1)))))) | (a_select2(s_values7_init, F) = init)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[63, 50])).
% 0.20/0.56 tff(65,plain,
% 0.20/0.56 (~(![D: $i] : ((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) | ![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, minus(pv1376, succ(succ(tptp_minus_1)))))) | (a_select2(s_values7_init, F) = init)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[64, 50])).
% 0.20/0.56 tff(66,plain,
% 0.20/0.56 (~(![D: $i] : ((~(leq(succ(tptp_minus_1), D) & leq(D, succ(succ(succ(tptp_minus_1)))))) | ![E: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(E, succ(succ(succ(succ(tptp_minus_1))))))) | (a_select3(simplex7_init, E, D) = init))) & ![F: $i] : ((~(leq(succ(tptp_minus_1), F) & leq(F, minus(pv1376, succ(succ(tptp_minus_1)))))) | (a_select2(s_values7_init, F) = init)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[65, 50])).
% 0.20/0.56 unexpected number of arguments: (let ((a!1 (forall ((D $i))
% 0.20/0.56 (let ((a!1 (leq D (succ (succ (succ tptp_minus_1)))))
% 0.20/0.56 (a!3 (forall ((E $i))
% 0.20/0.56 (let ((a!1 (succ (succ (succ (succ tptp_minus_1))))))
% 0.20/0.56 (let ((a!2 (not (and (leq (succ tptp_minus_1) E)
% 0.20/0.56 (leq E a!1)))))
% 0.20/0.56 (or a!2 (= (a_select3 simplex7_init E D) init)))))))
% 0.20/0.56 (let ((a!2 (not (and (leq (succ tptp_minus_1) D) a!1))))
% 0.20/0.56 (or a!2 a!3)))))
% 0.20/0.56 (a!2 (leq D!13 (succ (succ (succ tptp_minus_1)))))
% 0.20/0.56 (a!4 (forall ((E $i))
% 0.20/0.56 (let ((a!1 (succ (succ (succ (succ tptp_minus_1))))))
% 0.20/0.56 (let ((a!2 (not (and (leq (succ tptp_minus_1) E) (leq E a!1)))))
% 0.20/0.56 (or a!2 (= (a_select3 simplex7_init E D!13) init))))))
% 0.20/0.56 (a!6 (succ (succ (succ (succ tptp_minus_1)))))
% 0.20/0.56 (a!11 (forall ((F $i))
% 0.20/0.56 (let ((a!1 (leq F (minus pv1376 (succ (succ tptp_minus_1))))))
% 0.20/0.56 (let ((a!2 (not (and (leq (succ tptp_minus_1) F) a!1))))
% 0.20/0.56 (or a!2 (= (a_select2 s_values7_init F) init))))))
% 0.20/0.56 (a!12 (leq F!15 (minus pv1376 (succ (succ tptp_minus_1))))))
% 0.20/0.56 (let ((a!3 (not (and (leq (succ tptp_minus_1) D!13) a!2)))
% 0.20/0.56 (a!7 (not (and (leq (succ tptp_minus_1) E!14) (leq E!14 a!6))))
% 0.20/0.56 (a!13 (not (and (leq (succ tptp_minus_1) F!15) a!12))))
% 0.20/0.56 (let ((a!5 (sk (~ (not a!1) (not (or a!3 a!4)))))
% 0.20/0.56 (a!8 (not (or a!7 (= (a_select3 simplex7_init E!14 D!13) init))))
% 0.20/0.56 (a!14 (not (or a!13 (= (a_select2 s_values7_init F!15) init)))))
% 0.20/0.56 (let ((a!9 (nnf-neg (refl (~ (not a!3) (not a!3)))
% 0.20/0.56 (sk (~ (not a!4) a!8))
% 0.20/0.56 (~ (not (or a!3 a!4)) (and (not a!3) a!8))))
% 0.20/0.56 (a!15 (~ (not (and a!1 a!11)) (or (and (not a!3) a!8) a!14))))
% 0.20/0.56 (let ((a!10 (trans a!5 a!9 (~ (not a!1) (and (not a!3) a!8)))))
% 0.20/0.56 (nnf-neg a!10 (sk (~ (not a!11) a!14)) a!15))))))
% 0.20/0.56 Proof display could not be completed: unexpected number of arguments
%------------------------------------------------------------------------------