TSTP Solution File: GEO469+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO469+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 : Sat Jul 16 05:05:06 EDT 2022
% Result : Theorem 41.43s 40.99s
% Output : Proof 41.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : GEO469+1 : TPTP v8.1.0. Released v7.0.0.
% 0.12/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 05:13:34 EDT 2022
% 0.14/0.36 % CPUTime :
% 9.69/9.55
% 9.69/9.55 *** ECLiPSe fatal error: Out of swap space in heap allocation
% 11.08/10.82 calling an undefined procedure -(_2960325 = (-(4073 ^ []))) in module eclipse
% 11.08/10.82 abort
% 41.43/40.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 41.45/41.00 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 41.45/41.01
% 41.45/41.01 %-----------------------------------------------------
% 41.45/41.01 fof(aDEPENDENTu_SING, conjecture, ! [_3268320, _3268323] : (p(s(bool, i(s(fun(fun(cart(real, _3268320), bool), bool), dependent), s(fun(cart(real, _3268320), bool), i(s(fun(fun(cart(real, _3268320), bool), fun(cart(real, _3268320), bool)), i(s(fun(cart(real, _3268320), fun(fun(cart(real, _3268320), bool), fun(cart(real, _3268320), bool))), insert), s(cart(real, _3268320), _3268323))), s(fun(cart(real, _3268320), bool), empty)))))) <=> s(cart(real, _3268320), _3268323) = s(cart(real, _3268320), i(s(fun(num, cart(real, _3268320)), vec), s(num, i(s(fun(num, num), numeral), s(num, u_0)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aDEPENDENTu_SING)).
% 41.45/41.01 fof(aindependent, axiom, ! [_3275413, _3275416] : (p(s(bool, i(s(fun(fun(cart(real, _3275413), bool), bool), independent), s(fun(cart(real, _3275413), bool), _3275416)))) <=> ~ p(s(bool, i(s(fun(fun(cart(real, _3275413), bool), bool), dependent), s(fun(cart(real, _3275413), bool), _3275416))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aindependent)).
% 41.45/41.01 fof(aINDEPENDENTu_SING, axiom, ! [_3275937, _3275940] : (p(s(bool, i(s(fun(fun(cart(real, _3275937), bool), bool), independent), s(fun(cart(real, _3275937), bool), i(s(fun(fun(cart(real, _3275937), bool), fun(cart(real, _3275937), bool)), i(s(fun(cart(real, _3275937), fun(fun(cart(real, _3275937), bool), fun(cart(real, _3275937), bool))), insert), s(cart(real, _3275937), _3275940))), s(fun(cart(real, _3275937), bool), empty)))))) <=> (! s(cart(real, _3275937), _3275940)) = s(cart(real, _3275937), i(s(fun(num, cart(real, _3275937)), vec), s(num, i(s(fun(num, num), numeral), s(num, u_0)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aINDEPENDENTu_SING)).
% 41.45/41.01
% 41.45/41.01 cnf(1, plain, [-(6428 ^ []), p(s(bool, i(s(fun(fun(cart(real, 6425 ^ []), bool), bool), dependent), s(fun(cart(real, 6425 ^ []), bool), i(s(fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool)), i(s(fun(cart(real, 6425 ^ []), fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool))), insert), s(cart(real, 6425 ^ []), 6426 ^ []))), s(fun(cart(real, 6425 ^ []), bool), empty))))))], clausify(aDEPENDENTu_SING)).
% 41.45/41.01 cnf(2, plain, [-(6428 ^ []), -(s(cart(real, 6425 ^ []), 6426 ^ []) = s(cart(real, 6425 ^ []), i(s(fun(num, cart(real, 6425 ^ [])), vec), s(num, i(s(fun(num, num), numeral), s(num, u_0))))))], clausify(aDEPENDENTu_SING)).
% 41.45/41.01 cnf(3, plain, [-(6427 ^ []), s(cart(real, 6425 ^ []), 6426 ^ []) = s(cart(real, 6425 ^ []), i(s(fun(num, cart(real, 6425 ^ [])), vec), s(num, i(s(fun(num, num), numeral), s(num, u_0)))))], clausify(aDEPENDENTu_SING)).
% 41.45/41.01 cnf(4, plain, [-(6427 ^ []), -(p(s(bool, i(s(fun(fun(cart(real, 6425 ^ []), bool), bool), dependent), s(fun(cart(real, 6425 ^ []), bool), i(s(fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool)), i(s(fun(cart(real, 6425 ^ []), fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool))), insert), s(cart(real, 6425 ^ []), 6426 ^ []))), s(fun(cart(real, 6425 ^ []), bool), empty)))))))], clausify(aDEPENDENTu_SING)).
% 41.45/41.01 cnf(5, plain, [6427 ^ [], 6428 ^ []], clausify(aDEPENDENTu_SING)).
% 41.45/41.01 cnf(6, plain, [p(s(bool, i(s(fun(fun(cart(real, _1610175), bool), bool), independent), s(fun(cart(real, _1610175), bool), _1610176)))), p(s(bool, i(s(fun(fun(cart(real, _1610175), bool), bool), dependent), s(fun(cart(real, _1610175), bool), _1610176))))], clausify(aindependent)).
% 41.45/41.01 cnf(7, plain, [-(p(s(bool, i(s(fun(fun(cart(real, _1610175), bool), bool), independent), s(fun(cart(real, _1610175), bool), _1610176))))), -(p(s(bool, i(s(fun(fun(cart(real, _1610175), bool), bool), dependent), s(fun(cart(real, _1610175), bool), _1610176)))))], clausify(aindependent)).
% 41.45/41.01 cnf(8, plain, [p(s(bool, i(s(fun(fun(cart(real, _1635025), bool), bool), independent), s(fun(cart(real, _1635025), bool), i(s(fun(fun(cart(real, _1635025), bool), fun(cart(real, _1635025), bool)), i(s(fun(cart(real, _1635025), fun(fun(cart(real, _1635025), bool), fun(cart(real, _1635025), bool))), insert), s(cart(real, _1635025), _1635026))), s(fun(cart(real, _1635025), bool), empty)))))), s(cart(real, _1635025), _1635026) = s(cart(real, _1635025), i(s(fun(num, cart(real, _1635025)), vec), s(num, i(s(fun(num, num), numeral), s(num, u_0)))))], clausify(aINDEPENDENTu_SING)).
% 41.45/41.01 cnf(9, plain, [-(p(s(bool, i(s(fun(fun(cart(real, _1635025), bool), bool), independent), s(fun(cart(real, _1635025), bool), i(s(fun(fun(cart(real, _1635025), bool), fun(cart(real, _1635025), bool)), i(s(fun(cart(real, _1635025), fun(fun(cart(real, _1635025), bool), fun(cart(real, _1635025), bool))), insert), s(cart(real, _1635025), _1635026))), s(fun(cart(real, _1635025), bool), empty))))))), -(s(cart(real, _1635025), _1635026) = s(cart(real, _1635025), i(s(fun(num, cart(real, _1635025)), vec), s(num, i(s(fun(num, num), numeral), s(num, u_0))))))], clausify(aINDEPENDENTu_SING)).
% 41.45/41.01
% 41.45/41.01 cnf('1',plain,[6427 ^ [], 6428 ^ []],start(5)).
% 41.45/41.01 cnf('1.1',plain,[-(6427 ^ []), s(cart(real, 6425 ^ []), 6426 ^ []) = s(cart(real, 6425 ^ []), i(s(fun(num, cart(real, 6425 ^ [])), vec), s(num, i(s(fun(num, num), numeral), s(num, u_0)))))],extension(3)).
% 41.45/41.01 cnf('1.1.1',plain,[-(s(cart(real, 6425 ^ []), 6426 ^ []) = s(cart(real, 6425 ^ []), i(s(fun(num, cart(real, 6425 ^ [])), vec), s(num, i(s(fun(num, num), numeral), s(num, u_0)))))), -(p(s(bool, i(s(fun(fun(cart(real, 6425 ^ []), bool), bool), independent), s(fun(cart(real, 6425 ^ []), bool), i(s(fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool)), i(s(fun(cart(real, 6425 ^ []), fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool))), insert), s(cart(real, 6425 ^ []), 6426 ^ []))), s(fun(cart(real, 6425 ^ []), bool), empty)))))))],extension(9,bind([[_1635026, _1635025], [6426 ^ [], 6425 ^ []]]))).
% 41.45/41.01 cnf('1.1.1.1',plain,[p(s(bool, i(s(fun(fun(cart(real, 6425 ^ []), bool), bool), independent), s(fun(cart(real, 6425 ^ []), bool), i(s(fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool)), i(s(fun(cart(real, 6425 ^ []), fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool))), insert), s(cart(real, 6425 ^ []), 6426 ^ []))), s(fun(cart(real, 6425 ^ []), bool), empty)))))), p(s(bool, i(s(fun(fun(cart(real, 6425 ^ []), bool), bool), dependent), s(fun(cart(real, 6425 ^ []), bool), i(s(fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool)), i(s(fun(cart(real, 6425 ^ []), fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool))), insert), s(cart(real, 6425 ^ []), 6426 ^ []))), s(fun(cart(real, 6425 ^ []), bool), empty))))))],extension(6,bind([[_1610175, _1610176], [6425 ^ [], i(s(fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool)), i(s(fun(cart(real, 6425 ^ []), fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool))), insert), s(cart(real, 6425 ^ []), 6426 ^ []))), s(fun(cart(real, 6425 ^ []), bool), empty))]]))).
% 41.45/41.01 cnf('1.1.1.1.1',plain,[-(p(s(bool, i(s(fun(fun(cart(real, 6425 ^ []), bool), bool), dependent), s(fun(cart(real, 6425 ^ []), bool), i(s(fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool)), i(s(fun(cart(real, 6425 ^ []), fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool))), insert), s(cart(real, 6425 ^ []), 6426 ^ []))), s(fun(cart(real, 6425 ^ []), bool), empty))))))), -(6427 ^ [])],extension(4)).
% 41.45/41.01 cnf('1.1.1.1.1.1',plain,[6427 ^ []],reduction('1')).
% 41.45/41.01 cnf('1.2',plain,[-(6428 ^ []), p(s(bool, i(s(fun(fun(cart(real, 6425 ^ []), bool), bool), dependent), s(fun(cart(real, 6425 ^ []), bool), i(s(fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool)), i(s(fun(cart(real, 6425 ^ []), fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool))), insert), s(cart(real, 6425 ^ []), 6426 ^ []))), s(fun(cart(real, 6425 ^ []), bool), empty))))))],extension(1)).
% 41.45/41.01 cnf('1.2.1',plain,[-(p(s(bool, i(s(fun(fun(cart(real, 6425 ^ []), bool), bool), dependent), s(fun(cart(real, 6425 ^ []), bool), i(s(fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool)), i(s(fun(cart(real, 6425 ^ []), fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool))), insert), s(cart(real, 6425 ^ []), 6426 ^ []))), s(fun(cart(real, 6425 ^ []), bool), empty))))))), -(p(s(bool, i(s(fun(fun(cart(real, 6425 ^ []), bool), bool), independent), s(fun(cart(real, 6425 ^ []), bool), i(s(fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool)), i(s(fun(cart(real, 6425 ^ []), fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool))), insert), s(cart(real, 6425 ^ []), 6426 ^ []))), s(fun(cart(real, 6425 ^ []), bool), empty)))))))],extension(7,bind([[_1610175, _1610176], [6425 ^ [], i(s(fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool)), i(s(fun(cart(real, 6425 ^ []), fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool))), insert), s(cart(real, 6425 ^ []), 6426 ^ []))), s(fun(cart(real, 6425 ^ []), bool), empty))]]))).
% 41.45/41.01 cnf('1.2.1.1',plain,[p(s(bool, i(s(fun(fun(cart(real, 6425 ^ []), bool), bool), independent), s(fun(cart(real, 6425 ^ []), bool), i(s(fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool)), i(s(fun(cart(real, 6425 ^ []), fun(fun(cart(real, 6425 ^ []), bool), fun(cart(real, 6425 ^ []), bool))), insert), s(cart(real, 6425 ^ []), 6426 ^ []))), s(fun(cart(real, 6425 ^ []), bool), empty)))))), s(cart(real, 6425 ^ []), 6426 ^ []) = s(cart(real, 6425 ^ []), i(s(fun(num, cart(real, 6425 ^ [])), vec), s(num, i(s(fun(num, num), numeral), s(num, u_0)))))],extension(8,bind([[_1635026, _1635025], [6426 ^ [], 6425 ^ []]]))).
% 41.45/41.01 cnf('1.2.1.1.1',plain,[-(s(cart(real, 6425 ^ []), 6426 ^ []) = s(cart(real, 6425 ^ []), i(s(fun(num, cart(real, 6425 ^ [])), vec), s(num, i(s(fun(num, num), numeral), s(num, u_0)))))), -(6428 ^ [])],extension(2)).
% 41.45/41.01 cnf('1.2.1.1.1.1',plain,[6428 ^ []],reduction('1')).
% 41.45/41.01 %-----------------------------------------------------
% 41.47/41.01
% 41.47/41.01 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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