TSTP Solution File: SWV160+1 by leanCoP---2.2
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% File : leanCoP---2.2
% Problem : SWV160+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 19:49:43 EDT 2022
% Result : Theorem 29.32s 29.31s
% Output : Proof 29.32s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV160+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n021.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 : Wed Jun 15 09:38:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 29.32/29.31 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.32/29.32 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.32/29.32
% 29.32/29.32 %-----------------------------------------------------
% 29.32/29.32 fof(cl5_nebula_norm_0010, 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) & ! [_156344] : (leq(n0, _156344) & leq(_156344, pred(pv47)) => a_select3(q, pv10, _156344) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x, pv10), a_select2(mu, _156344)), minus(a_select2(x, pv10), a_select2(mu, _156344))), tptp_minus_2), times(a_select2(sigma, _156344), a_select2(sigma, _156344)))), a_select2(rho, _156344)), times(sqrt(times(n2, tptp_pi)), a_select2(sigma, _156344))), 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)))))) & ! [_156677] : (leq(n0, _156677) & leq(_156677, pred(pv10)) => sum(n0, n4, a_select3(q, _156677, tptp_sum_index)) = n1) => ! [_156735] : (leq(n0, _156735) & leq(_156735, pred(pv10)) => pv10 = _156735 => sum(n0, n4, cond(tptp_term_equals(pv47, tptp_sum_index), divide(divide(times(exp(divide(divide(times(minus(a_select2(x, pv10), a_select2(mu, pv47)), minus(a_select2(x, pv10), a_select2(mu, pv47))), tptp_minus_2), times(a_select2(sigma, pv47), a_select2(sigma, pv47)))), a_select2(rho, pv47)), times(sqrt(times(n2, tptp_pi)), a_select2(sigma, pv47))), pv84), a_select3(q, _156735, tptp_sum_index))) = n1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cl5_nebula_norm_0010)).
% 29.32/29.32 fof(irreflexivity_gt, axiom, ! [_158297] : ~ gt(_158297, _158297), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax', irreflexivity_gt)).
% 29.32/29.32 fof(leq_gt_pred, axiom, ! [_158419, _158422] : (leq(_158419, pred(_158422)) <=> gt(_158422, _158419)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax', leq_gt_pred)).
% 29.32/29.32
% 29.32/29.32 cnf(1, plain, [-(leq(42 ^ [], pred(pv10)))], clausify(cl5_nebula_norm_0010)).
% 29.32/29.32 cnf(2, plain, [-(pv10 = 42 ^ [])], clausify(cl5_nebula_norm_0010)).
% 29.32/29.32 cnf(3, plain, [-(_47829 = _47829)], theory(equality)).
% 29.32/29.32 cnf(4, plain, [-(gt(_49428, _49559)), gt(_49361, _49494), _49361 = _49428, _49494 = _49559], theory(equality)).
% 29.32/29.32 cnf(5, plain, [gt(_68608, _68608)], clausify(irreflexivity_gt)).
% 29.32/29.32 cnf(6, plain, [leq(_70787, pred(_70834)), -(gt(_70834, _70787))], clausify(leq_gt_pred)).
% 29.32/29.32
% 29.32/29.32 cnf('1',plain,[-(pv10 = 42 ^ [])],start(2)).
% 29.32/29.32 cnf('1.1',plain,[pv10 = 42 ^ [], -(gt(42 ^ [], 42 ^ [])), gt(pv10, 42 ^ []), 42 ^ [] = 42 ^ []],extension(4,bind([[_49428, _49361, _49494, _49559], [42 ^ [], pv10, 42 ^ [], 42 ^ []]]))).
% 29.32/29.32 cnf('1.1.1',plain,[gt(42 ^ [], 42 ^ [])],extension(5,bind([[_68608], [42 ^ []]]))).
% 29.32/29.32 cnf('1.1.2',plain,[-(gt(pv10, 42 ^ [])), leq(42 ^ [], pred(pv10))],extension(6,bind([[_70787, _70834], [42 ^ [], pv10]]))).
% 29.32/29.32 cnf('1.1.2.1',plain,[-(leq(42 ^ [], pred(pv10)))],extension(1)).
% 29.32/29.32 cnf('1.1.3',plain,[-(42 ^ [] = 42 ^ [])],extension(3,bind([[_47829], [42 ^ []]]))).
% 29.32/29.32 %-----------------------------------------------------
% 29.32/29.33
% 29.32/29.33 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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