TSTP Solution File: SWV157+1 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWV157+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n003.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 19:49:42 EDT 2022
% Result : Theorem 5.19s 5.56s
% Output : Proof 5.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV157+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n003.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 : 600
% 0.13/0.34 % DateTime : Wed Jun 15 13:12:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 5.19/5.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.19/5.57 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.19/5.57
% 5.19/5.57 %-----------------------------------------------------
% 5.19/5.57 fof(cl5_nebula_norm_0007, conjecture, pv84 = 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)))) & leq(n0, pv10) & leq(n0, pv47) & leq(pv10, n135299) & leq(pv47, n4) & ! [_224523] : (leq(n0, _224523) & leq(_224523, pred(pv47)) => a_select3(q, pv10, _224523) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x, pv10), a_select2(mu, _224523)), minus(a_select2(x, pv10), a_select2(mu, _224523))), tptp_minus_2), times(a_select2(sigma, _224523), a_select2(sigma, _224523)))), a_select2(rho, _224523)), times(sqrt(times(n2, tptp_pi)), a_select2(sigma, _224523))), 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)))))) & ! [_224856] : (leq(n0, _224856) & leq(_224856, pred(pv10)) => sum(n0, n4, a_select3(q, _224856, tptp_sum_index)) = n1) => ! [_224914] : (leq(n0, _224914) & leq(_224914, pv47) => (! pv47) = _224914 => a_select3(q, pv10, _224914) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x, pv10), a_select2(mu, _224914)), minus(a_select2(x, pv10), a_select2(mu, _224914))), tptp_minus_2), times(a_select2(sigma, _224914), a_select2(sigma, _224914)))), a_select2(rho, _224914)), times(sqrt(times(n2, tptp_pi)), a_select2(sigma, _224914))), 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_0007)).
% 5.19/5.57 fof(totality, axiom, ! [_226757, _226760] : (gt(_226757, _226760) | gt(_226760, _226757) | _226757 = _226760), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', totality)).
% 5.19/5.57 fof(transitivity_gt, axiom, ! [_226927, _226930, _226933] : (gt(_226927, _226930) & gt(_226930, _226933) => gt(_226927, _226933)), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', transitivity_gt)).
% 5.19/5.57 fof(irreflexivity_gt, axiom, ! [_227112] : ~ gt(_227112, _227112), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', irreflexivity_gt)).
% 5.19/5.57 fof(leq_gt2, axiom, ! [_227233, _227236] : (leq(_227233, _227236) & (! _227233) = _227236 => gt(_227236, _227233)), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', leq_gt2)).
% 5.19/5.57 fof(leq_gt_pred, axiom, ! [_227411, _227414] : (leq(_227411, pred(_227414)) <=> gt(_227414, _227411)), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax', leq_gt_pred)).
% 5.19/5.57
% 5.19/5.57 cnf(1, plain, [-(leq(n0, 28 ^ []))], clausify(cl5_nebula_norm_0007)).
% 5.19/5.57 cnf(2, plain, [-(leq(28 ^ [], pv47))], clausify(cl5_nebula_norm_0007)).
% 5.19/5.57 cnf(3, plain, [pv47 = 28 ^ []], clausify(cl5_nebula_norm_0007)).
% 5.19/5.57 cnf(4, plain, [a_select3(q, pv10, 28 ^ []) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x, pv10), a_select2(mu, 28 ^ [])), minus(a_select2(x, pv10), a_select2(mu, 28 ^ []))), tptp_minus_2), times(a_select2(sigma, 28 ^ []), a_select2(sigma, 28 ^ [])))), a_select2(rho, 28 ^ [])), times(sqrt(times(n2, tptp_pi)), a_select2(sigma, 28 ^ []))), 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)))))], clausify(cl5_nebula_norm_0007)).
% 5.19/5.57 cnf(5, plain, [-(a_select3(q, pv10, _119240) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x, pv10), a_select2(mu, _119240)), minus(a_select2(x, pv10), a_select2(mu, _119240))), tptp_minus_2), times(a_select2(sigma, _119240), a_select2(sigma, _119240)))), a_select2(rho, _119240)), times(sqrt(times(n2, tptp_pi)), a_select2(sigma, _119240))), 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)))))), leq(n0, _119240), leq(_119240, pred(pv47))], clausify(cl5_nebula_norm_0007)).
% 5.19/5.57 cnf(6, plain, [_48443 = _48488, -(_48488 = _48443)], theory(equality)).
% 5.19/5.57 cnf(7, plain, [-(gt(_66527, _66578)), -(gt(_66578, _66527)), -(_66527 = _66578)], clausify(totality)).
% 5.19/5.57 cnf(8, plain, [-(gt(_66923, _67034)), gt(_66923, _66979), gt(_66979, _67034)], clausify(transitivity_gt)).
% 5.19/5.57 cnf(9, plain, [gt(_67390, _67390)], clausify(irreflexivity_gt)).
% 5.19/5.57 cnf(10, plain, [-(gt(_69206, _69153)), leq(_69153, _69206), -(_69153 = _69206)], clausify(leq_gt2)).
% 5.19/5.57 cnf(11, plain, [-(leq(_69569, pred(_69616))), gt(_69616, _69569)], clausify(leq_gt_pred)).
% 5.19/5.57
% 5.19/5.57 cnf('1',plain,[pv47 = 28 ^ []],start(3)).
% 5.19/5.57 cnf('1.1',plain,[-(pv47 = 28 ^ []), 28 ^ [] = pv47],extension(6,bind([[_48443, _48488], [28 ^ [], pv47]]))).
% 5.19/5.57 cnf('1.1.1',plain,[-(28 ^ [] = pv47), -(gt(28 ^ [], pv47)), -(gt(pv47, 28 ^ []))],extension(7,bind([[_66578, _66527], [pv47, 28 ^ []]]))).
% 5.19/5.57 cnf('1.1.1.1',plain,[gt(28 ^ [], pv47), -(gt(28 ^ [], 28 ^ [])), gt(pv47, 28 ^ [])],extension(8,bind([[_66923, _66979, _67034], [28 ^ [], pv47, 28 ^ []]]))).
% 5.19/5.57 cnf('1.1.1.1.1',plain,[gt(28 ^ [], 28 ^ [])],extension(9,bind([[_67390], [28 ^ []]]))).
% 5.19/5.57 cnf('1.1.1.1.2',plain,[-(gt(pv47, 28 ^ [])), leq(28 ^ [], pv47), -(28 ^ [] = pv47)],extension(10,bind([[_69153, _69206], [28 ^ [], pv47]]))).
% 5.19/5.57 cnf('1.1.1.1.2.1',plain,[-(leq(28 ^ [], pv47))],extension(2)).
% 5.19/5.57 cnf('1.1.1.1.2.2',plain,[28 ^ [] = pv47],reduction('1.1')).
% 5.19/5.57 cnf('1.1.1.2',plain,[gt(pv47, 28 ^ []), -(leq(28 ^ [], pred(pv47)))],extension(11,bind([[_69569, _69616], [28 ^ [], pv47]]))).
% 5.19/5.57 cnf('1.1.1.2.1',plain,[leq(28 ^ [], pred(pv47)), -(a_select3(q, pv10, 28 ^ []) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x, pv10), a_select2(mu, 28 ^ [])), minus(a_select2(x, pv10), a_select2(mu, 28 ^ []))), tptp_minus_2), times(a_select2(sigma, 28 ^ []), a_select2(sigma, 28 ^ [])))), a_select2(rho, 28 ^ [])), times(sqrt(times(n2, tptp_pi)), a_select2(sigma, 28 ^ []))), 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)))))), leq(n0, 28 ^ [])],extension(5,bind([[_119240], [28 ^ []]]))).
% 5.19/5.57 cnf('1.1.1.2.1.1',plain,[a_select3(q, pv10, 28 ^ []) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x, pv10), a_select2(mu, 28 ^ [])), minus(a_select2(x, pv10), a_select2(mu, 28 ^ []))), tptp_minus_2), times(a_select2(sigma, 28 ^ []), a_select2(sigma, 28 ^ [])))), a_select2(rho, 28 ^ [])), times(sqrt(times(n2, tptp_pi)), a_select2(sigma, 28 ^ []))), 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)))))],extension(4)).
% 5.19/5.57 cnf('1.1.1.2.1.2',plain,[-(leq(n0, 28 ^ []))],extension(1)).
% 5.19/5.57 %-----------------------------------------------------
% 5.19/5.58
% 5.19/5.58 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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