TSTP Solution File: SWV164+1 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWV164+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n029.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 : 600s
% DateTime : Wed Jul 20 19:49:44 EDT 2022
% Result : Theorem 30.51s 30.47s
% Output : Proof 30.51s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV164+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 01:24:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 30.51/30.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.51/30.47 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.51/30.48
% 30.51/30.48 %-----------------------------------------------------
% 30.51/30.48 fof(cl5_nebula_norm_0014, conjecture, leq(n0, pv10) & leq(pv10, n135299) & ! [_148523] : (leq(n0, _148523) & leq(_148523, pred(pv10)) => sum(n0, n4, a_select3(q, _148523, tptp_sum_index)) = n1) => ! [_148581] : (leq(n0, _148581) & leq(_148581, tptp_minus_1) => a_select3(q, pv10, _148581) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x, pv10), a_select2(mu, _148581)), minus(a_select2(x, pv10), a_select2(mu, _148581))), tptp_minus_2), times(a_select2(sigma, _148581), a_select2(sigma, _148581)))), a_select2(rho, _148581)), times(sqrt(times(n2, tptp_pi)), a_select2(sigma, _148581))), sum(n0, n4, divide(times(exp(divide(divide(times(minus(a_select2(x, pv10), a_select2(mu, tptp_sum_index)), minus(a_select2(x, pv10), a_select2(mu, tptp_sum_index))), tptp_minus_2), times(a_select2(sigma, tptp_sum_index), a_select2(sigma, tptp_sum_index)))), a_select2(rho, tptp_sum_index)), times(sqrt(times(n2, tptp_pi)), a_select2(sigma, tptp_sum_index)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cl5_nebula_norm_0014)).
% 30.51/30.48 fof(gt_0_tptp_minus_1, axiom, gt(n0, tptp_minus_1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', gt_0_tptp_minus_1)).
% 30.51/30.48 fof(irreflexivity_gt, axiom, ! [_149699] : ~ gt(_149699, _149699), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', irreflexivity_gt)).
% 30.51/30.48 fof(transitivity_leq, axiom, ! [_149814, _149817, _149820] : (leq(_149814, _149817) & leq(_149817, _149820) => leq(_149814, _149820)), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', transitivity_leq)).
% 30.51/30.48 fof(leq_gt_pred, axiom, ! [_150005, _150008] : (leq(_150005, pred(_150008)) <=> gt(_150008, _150005)), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', leq_gt_pred)).
% 30.51/30.48
% 30.51/30.48 cnf(1, plain, [-(leq(n0, 42 ^ []))], clausify(cl5_nebula_norm_0014)).
% 30.51/30.48 cnf(2, plain, [-(leq(42 ^ [], tptp_minus_1))], clausify(cl5_nebula_norm_0014)).
% 30.51/30.48 cnf(3, plain, [-(gt(n0, tptp_minus_1))], clausify(gt_0_tptp_minus_1)).
% 30.51/30.48 cnf(4, plain, [gt(_63858, _63858)], clausify(irreflexivity_gt)).
% 30.51/30.48 cnf(5, plain, [-(leq(_64224, _64335)), leq(_64224, _64280), leq(_64280, _64335)], clausify(transitivity_leq)).
% 30.51/30.48 cnf(6, plain, [leq(_66037, pred(_66084)), -(gt(_66084, _66037))], clausify(leq_gt_pred)).
% 30.51/30.48 cnf(7, plain, [-(leq(_66037, pred(_66084))), gt(_66084, _66037)], clausify(leq_gt_pred)).
% 30.51/30.48
% 30.51/30.48 cnf('1',plain,[-(leq(n0, 42 ^ []))],start(1)).
% 30.51/30.48 cnf('1.1',plain,[leq(n0, 42 ^ []), -(leq(n0, pred(n0))), leq(42 ^ [], pred(n0))],extension(5,bind([[_64224, _64280, _64335], [n0, 42 ^ [], pred(n0)]]))).
% 30.51/30.48 cnf('1.1.1',plain,[leq(n0, pred(n0)), -(gt(n0, n0))],extension(6,bind([[_66084, _66037], [n0, n0]]))).
% 30.51/30.48 cnf('1.1.1.1',plain,[gt(n0, n0)],extension(4,bind([[_63858], [n0]]))).
% 30.51/30.48 cnf('1.1.2',plain,[-(leq(42 ^ [], pred(n0))), leq(42 ^ [], tptp_minus_1), leq(tptp_minus_1, pred(n0))],extension(5,bind([[_64224, _64280, _64335], [42 ^ [], tptp_minus_1, pred(n0)]]))).
% 30.51/30.48 cnf('1.1.2.1',plain,[-(leq(42 ^ [], tptp_minus_1))],extension(2)).
% 30.51/30.48 cnf('1.1.2.2',plain,[-(leq(tptp_minus_1, pred(n0))), gt(n0, tptp_minus_1)],extension(7,bind([[_66084, _66037], [n0, tptp_minus_1]]))).
% 30.51/30.48 cnf('1.1.2.2.1',plain,[-(gt(n0, tptp_minus_1))],extension(3)).
% 30.51/30.48 %-----------------------------------------------------
% 30.51/30.48
% 30.51/30.48 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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