TSTP Solution File: SEU230+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU230+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n008.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 12:01:15 EDT 2022
% Result : Theorem 4.57s 5.54s
% Output : Proof 4.57s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU230+3 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n008.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 : Sun Jun 19 07:35:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.57/5.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.57/5.55 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.57/5.56
% 4.57/5.56 %-----------------------------------------------------
% 4.57/5.56 fof(t10_ordinal1, conjecture, ! [_40229] : in(_40229, succ(_40229)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t10_ordinal1)).
% 4.57/5.56 fof(commutativity_k2_xboole_0, axiom, ! [_40385, _40388] : set_union2(_40385, _40388) = set_union2(_40388, _40385), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_k2_xboole_0)).
% 4.57/5.56 fof(d1_ordinal1, axiom, ! [_40531] : succ(_40531) = set_union2(_40531, singleton(_40531)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_ordinal1)).
% 4.57/5.56 fof(d1_tarski, axiom, ! [_40669, _40672] : (_40672 = singleton(_40669) <=> ! [_40690] : (in(_40690, _40672) <=> _40690 = _40669)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 4.57/5.56 fof(d2_xboole_0, axiom, ! [_40876, _40879, _40882] : (_40882 = set_union2(_40876, _40879) <=> ! [_40903] : (in(_40903, _40882) <=> in(_40903, _40876) | in(_40903, _40879))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_xboole_0)).
% 4.57/5.56
% 4.57/5.56 cnf(1, plain, [in(14 ^ [], succ(14 ^ []))], clausify(t10_ordinal1)).
% 4.57/5.56 cnf(2, plain, [-(_12684 = _12684)], theory(equality)).
% 4.57/5.56 cnf(3, plain, [-(_13116 = _13227), _13116 = _13172, _13172 = _13227], theory(equality)).
% 4.57/5.56 cnf(4, plain, [-(set_union2(_19454, _19499) = set_union2(_19499, _19454))], clausify(commutativity_k2_xboole_0)).
% 4.57/5.56 cnf(5, plain, [-(succ(_19764) = set_union2(_19764, singleton(_19764)))], clausify(d1_ordinal1)).
% 4.57/5.56 cnf(6, plain, [_20072 = singleton(_20014), -(in(_20204, _20072)), _20204 = _20014], clausify(d1_tarski)).
% 4.57/5.56 cnf(7, plain, [_20634 = set_union2(_20495, _20565), -(in(_20798, _20634)), in(_20798, _20495)], clausify(d2_xboole_0)).
% 4.57/5.56
% 4.57/5.56 cnf('1',plain,[in(14 ^ [], succ(14 ^ []))],start(1)).
% 4.57/5.56 cnf('1.1',plain,[-(in(14 ^ [], succ(14 ^ []))), succ(14 ^ []) = set_union2(singleton(14 ^ []), 14 ^ []), in(14 ^ [], singleton(14 ^ []))],extension(7,bind([[_20634, _20565, _20798, _20495], [succ(14 ^ []), 14 ^ [], 14 ^ [], singleton(14 ^ [])]]))).
% 4.57/5.56 cnf('1.1.1',plain,[-(succ(14 ^ []) = set_union2(singleton(14 ^ []), 14 ^ [])), succ(14 ^ []) = set_union2(14 ^ [], singleton(14 ^ [])), set_union2(14 ^ [], singleton(14 ^ [])) = set_union2(singleton(14 ^ []), 14 ^ [])],extension(3,bind([[_13116, _13172, _13227], [succ(14 ^ []), set_union2(14 ^ [], singleton(14 ^ [])), set_union2(singleton(14 ^ []), 14 ^ [])]]))).
% 4.57/5.56 cnf('1.1.1.1',plain,[-(succ(14 ^ []) = set_union2(14 ^ [], singleton(14 ^ [])))],extension(5,bind([[_19764], [14 ^ []]]))).
% 4.57/5.56 cnf('1.1.1.2',plain,[-(set_union2(14 ^ [], singleton(14 ^ [])) = set_union2(singleton(14 ^ []), 14 ^ []))],extension(4,bind([[_19499, _19454], [singleton(14 ^ []), 14 ^ []]]))).
% 4.57/5.56 cnf('1.1.2',plain,[-(in(14 ^ [], singleton(14 ^ []))), singleton(14 ^ []) = singleton(14 ^ []), 14 ^ [] = 14 ^ []],extension(6,bind([[_20072, _20204, _20014], [singleton(14 ^ []), 14 ^ [], 14 ^ []]]))).
% 4.57/5.56 cnf('1.1.2.1',plain,[-(singleton(14 ^ []) = singleton(14 ^ []))],extension(2,bind([[_12684], [singleton(14 ^ [])]]))).
% 4.57/5.56 cnf('1.1.2.2',plain,[-(14 ^ [] = 14 ^ [])],extension(2,bind([[_12684], [14 ^ []]]))).
% 4.57/5.56 %-----------------------------------------------------
% 4.57/5.56
% 4.57/5.56 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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