TSTP Solution File: SEU165+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU165+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n019.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 : Tue Jul 19 12:00:39 EDT 2022
% Result : Theorem 0.37s 1.43s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SEU165+2 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 19 21:38:09 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.37/1.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.44 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.45
% 0.37/1.45 %-----------------------------------------------------
% 0.37/1.45 fof(t106_zfmisc_1, conjecture, ! [_109075, _109078, _109081, _109084] : (in(ordered_pair(_109075, _109078), cartesian_product2(_109081, _109084)) <=> in(_109075, _109081) & in(_109078, _109084)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t106_zfmisc_1)).
% 0.37/1.45 fof(l55_zfmisc_1, lemma, ! [_109460, _109463, _109466, _109469] : (in(ordered_pair(_109460, _109463), cartesian_product2(_109466, _109469)) <=> in(_109460, _109466) & in(_109463, _109469)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l55_zfmisc_1)).
% 0.37/1.45
% 0.37/1.45 cnf(1, plain, [-(27 ^ []), in(ordered_pair(22 ^ [], 23 ^ []), cartesian_product2(24 ^ [], 25 ^ []))], clausify(t106_zfmisc_1)).
% 0.37/1.45 cnf(2, plain, [-(27 ^ []), -(in(23 ^ [], 25 ^ []))], clausify(t106_zfmisc_1)).
% 0.37/1.45 cnf(3, plain, [-(27 ^ []), -(in(22 ^ [], 24 ^ []))], clausify(t106_zfmisc_1)).
% 0.37/1.45 cnf(4, plain, [-(26 ^ []), in(22 ^ [], 24 ^ []), in(23 ^ [], 25 ^ [])], clausify(t106_zfmisc_1)).
% 0.37/1.45 cnf(5, plain, [-(26 ^ []), -(in(ordered_pair(22 ^ [], 23 ^ []), cartesian_product2(24 ^ [], 25 ^ [])))], clausify(t106_zfmisc_1)).
% 0.37/1.45 cnf(6, plain, [27 ^ [], 26 ^ []], clausify(t106_zfmisc_1)).
% 0.37/1.45 cnf(7, plain, [in(ordered_pair(_59064, _59131), cartesian_product2(_59197, _59262)), -(in(_59064, _59197))], clausify(l55_zfmisc_1)).
% 0.37/1.45 cnf(8, plain, [in(ordered_pair(_59064, _59131), cartesian_product2(_59197, _59262)), -(in(_59131, _59262))], clausify(l55_zfmisc_1)).
% 0.37/1.45 cnf(9, plain, [-(in(ordered_pair(_59064, _59131), cartesian_product2(_59197, _59262))), in(_59064, _59197), in(_59131, _59262)], clausify(l55_zfmisc_1)).
% 0.37/1.45
% 0.37/1.45 cnf('1',plain,[27 ^ [], 26 ^ []],start(6)).
% 0.37/1.45 cnf('1.1',plain,[-(27 ^ []), in(ordered_pair(22 ^ [], 23 ^ []), cartesian_product2(24 ^ [], 25 ^ []))],extension(1)).
% 0.37/1.45 cnf('1.1.1',plain,[-(in(ordered_pair(22 ^ [], 23 ^ []), cartesian_product2(24 ^ [], 25 ^ []))), in(22 ^ [], 24 ^ []), in(23 ^ [], 25 ^ [])],extension(9,bind([[_59064, _59197, _59131, _59262], [22 ^ [], 24 ^ [], 23 ^ [], 25 ^ []]]))).
% 0.37/1.45 cnf('1.1.1.1',plain,[-(in(22 ^ [], 24 ^ [])), -(27 ^ [])],extension(3)).
% 0.37/1.45 cnf('1.1.1.1.1',plain,[27 ^ []],reduction('1')).
% 0.37/1.45 cnf('1.1.1.2',plain,[-(in(23 ^ [], 25 ^ [])), -(27 ^ [])],extension(2)).
% 0.37/1.45 cnf('1.1.1.2.1',plain,[27 ^ []],reduction('1')).
% 0.37/1.45 cnf('1.2',plain,[-(26 ^ []), in(22 ^ [], 24 ^ []), in(23 ^ [], 25 ^ [])],extension(4)).
% 0.37/1.45 cnf('1.2.1',plain,[-(in(22 ^ [], 24 ^ [])), in(ordered_pair(22 ^ [], 23 ^ []), cartesian_product2(24 ^ [], 25 ^ []))],extension(7,bind([[_59064, _59131, _59197, _59262], [22 ^ [], 23 ^ [], 24 ^ [], 25 ^ []]]))).
% 0.37/1.45 cnf('1.2.1.1',plain,[-(in(ordered_pair(22 ^ [], 23 ^ []), cartesian_product2(24 ^ [], 25 ^ []))), -(26 ^ [])],extension(5)).
% 0.37/1.45 cnf('1.2.1.1.1',plain,[26 ^ []],reduction('1')).
% 0.37/1.45 cnf('1.2.2',plain,[-(in(23 ^ [], 25 ^ [])), in(ordered_pair(22 ^ [], 23 ^ []), cartesian_product2(24 ^ [], 25 ^ []))],extension(8,bind([[_59064, _59131, _59197, _59262], [22 ^ [], 23 ^ [], 24 ^ [], 25 ^ []]]))).
% 0.37/1.45 cnf('1.2.2.1',plain,[-(in(ordered_pair(22 ^ [], 23 ^ []), cartesian_product2(24 ^ [], 25 ^ []))), -(26 ^ [])],extension(5)).
% 0.37/1.45 cnf('1.2.2.1.1',plain,[26 ^ []],reduction('1')).
% 0.37/1.45 %-----------------------------------------------------
% 0.37/1.45
% 0.37/1.46 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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