TSTP Solution File: SEU230+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU230+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n004.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 12:01:14 EDT 2022
% Result : Theorem 4.20s 4.51s
% Output : Proof 4.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU230+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n004.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 : Sat Jun 18 19:58:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 4.20/4.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.20/4.52 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.20/4.52
% 4.20/4.52 %-----------------------------------------------------
% 4.20/4.52 fof(t10_ordinal1, conjecture, ! [_40224] : in(_40224, succ(_40224)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t10_ordinal1)).
% 4.20/4.52 fof(commutativity_k2_xboole_0, axiom, ! [_40379, _40382] : set_union2(_40379, _40382) = set_union2(_40382, _40379), file('/export/starexec/sandbox/benchmark/theBenchmark.p', commutativity_k2_xboole_0)).
% 4.20/4.52 fof(d1_ordinal1, axiom, ! [_40525] : succ(_40525) = set_union2(_40525, singleton(_40525)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_ordinal1)).
% 4.20/4.52 fof(d1_tarski, axiom, ! [_40663, _40666] : (_40666 = singleton(_40663) <=> ! [_40684] : (in(_40684, _40666) <=> _40684 = _40663)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_tarski)).
% 4.20/4.52 fof(d2_xboole_0, axiom, ! [_40870, _40873, _40876] : (_40876 = set_union2(_40870, _40873) <=> ! [_40897] : (in(_40897, _40876) <=> in(_40897, _40870) | in(_40897, _40873))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_xboole_0)).
% 4.20/4.52
% 4.20/4.52 cnf(1, plain, [in(13 ^ [], succ(13 ^ []))], clausify(t10_ordinal1)).
% 4.20/4.53 cnf(2, plain, [-(_12706 = _12706)], theory(equality)).
% 4.20/4.53 cnf(3, plain, [-(_13138 = _13249), _13138 = _13194, _13194 = _13249], theory(equality)).
% 4.20/4.53 cnf(4, plain, [-(set_union2(_19132, _19177) = set_union2(_19177, _19132))], clausify(commutativity_k2_xboole_0)).
% 4.20/4.53 cnf(5, plain, [-(succ(_19442) = set_union2(_19442, singleton(_19442)))], clausify(d1_ordinal1)).
% 4.20/4.53 cnf(6, plain, [_19750 = singleton(_19692), -(in(_19882, _19750)), _19882 = _19692], clausify(d1_tarski)).
% 4.20/4.53 cnf(7, plain, [_20312 = set_union2(_20173, _20243), -(in(_20476, _20312)), in(_20476, _20173)], clausify(d2_xboole_0)).
% 4.20/4.53
% 4.20/4.53 cnf('1',plain,[in(13 ^ [], succ(13 ^ []))],start(1)).
% 4.20/4.53 cnf('1.1',plain,[-(in(13 ^ [], succ(13 ^ []))), succ(13 ^ []) = set_union2(singleton(13 ^ []), 13 ^ []), in(13 ^ [], singleton(13 ^ []))],extension(7,bind([[_20312, _20243, _20476, _20173], [succ(13 ^ []), 13 ^ [], 13 ^ [], singleton(13 ^ [])]]))).
% 4.20/4.53 cnf('1.1.1',plain,[-(succ(13 ^ []) = set_union2(singleton(13 ^ []), 13 ^ [])), succ(13 ^ []) = set_union2(13 ^ [], singleton(13 ^ [])), set_union2(13 ^ [], singleton(13 ^ [])) = set_union2(singleton(13 ^ []), 13 ^ [])],extension(3,bind([[_13138, _13194, _13249], [succ(13 ^ []), set_union2(13 ^ [], singleton(13 ^ [])), set_union2(singleton(13 ^ []), 13 ^ [])]]))).
% 4.20/4.53 cnf('1.1.1.1',plain,[-(succ(13 ^ []) = set_union2(13 ^ [], singleton(13 ^ [])))],extension(5,bind([[_19442], [13 ^ []]]))).
% 4.20/4.53 cnf('1.1.1.2',plain,[-(set_union2(13 ^ [], singleton(13 ^ [])) = set_union2(singleton(13 ^ []), 13 ^ []))],extension(4,bind([[_19177, _19132], [singleton(13 ^ []), 13 ^ []]]))).
% 4.20/4.53 cnf('1.1.2',plain,[-(in(13 ^ [], singleton(13 ^ []))), singleton(13 ^ []) = singleton(13 ^ []), 13 ^ [] = 13 ^ []],extension(6,bind([[_19750, _19882, _19692], [singleton(13 ^ []), 13 ^ [], 13 ^ []]]))).
% 4.20/4.53 cnf('1.1.2.1',plain,[-(singleton(13 ^ []) = singleton(13 ^ []))],extension(2,bind([[_12706], [singleton(13 ^ [])]]))).
% 4.20/4.53 cnf('1.1.2.2',plain,[-(13 ^ [] = 13 ^ [])],extension(2,bind([[_12706], [13 ^ []]]))).
% 4.20/4.53 %-----------------------------------------------------
% 4.20/4.53
% 4.20/4.53 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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