TSTP Solution File: SEU137+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU137+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n024.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 12:00:22 EDT 2022
% Result : Theorem 0.35s 1.42s
% Output : Proof 0.43s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU137+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 22:37:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.35/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.43
% 0.35/1.43 %-----------------------------------------------------
% 0.35/1.43 fof(t45_xboole_1, conjecture, ! [_33949, _33952] : (subset(_33949, _33952) => _33952 = set_union2(_33949, set_difference(_33952, _33949))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t45_xboole_1)).
% 0.35/1.43 fof(d2_xboole_0, axiom, ! [_34158, _34161, _34164] : (_34164 = set_union2(_34158, _34161) <=> ! [_34185] : (in(_34185, _34164) <=> in(_34185, _34158) | in(_34185, _34161))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_xboole_0)).
% 0.35/1.43 fof(d3_tarski, axiom, ! [_34439, _34442] : (subset(_34439, _34442) <=> ! [_34460] : (in(_34460, _34439) => in(_34460, _34442))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 0.35/1.43 fof(d4_xboole_0, axiom, ! [_34643, _34646, _34649] : (_34649 = set_difference(_34643, _34646) <=> ! [_34670] : (in(_34670, _34649) <=> in(_34670, _34643) & ~ in(_34670, _34646))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_xboole_0)).
% 0.35/1.43
% 0.35/1.43 cnf(1, plain, [-(subset(7 ^ [], 8 ^ []))], clausify(t45_xboole_1)).
% 0.35/1.43 cnf(2, plain, [8 ^ [] = set_union2(7 ^ [], set_difference(8 ^ [], 7 ^ []))], clausify(t45_xboole_1)).
% 0.35/1.43 cnf(3, plain, [-(_9038 = _9038)], theory(equality)).
% 0.35/1.43 cnf(4, plain, [-(_13626 = set_union2(_13487, _13557)), in(1 ^ [_13626, _13557, _13487], _13626), in(1 ^ [_13626, _13557, _13487], _13487)], clausify(d2_xboole_0)).
% 0.35/1.43 cnf(5, plain, [-(_13626 = set_union2(_13487, _13557)), in(1 ^ [_13626, _13557, _13487], _13626), in(1 ^ [_13626, _13557, _13487], _13557)], clausify(d2_xboole_0)).
% 0.35/1.43 cnf(6, plain, [-(_13626 = set_union2(_13487, _13557)), -(in(1 ^ [_13626, _13557, _13487], _13626)), -(in(1 ^ [_13626, _13557, _13487], _13487)), -(in(1 ^ [_13626, _13557, _13487], _13557))], clausify(d2_xboole_0)).
% 0.35/1.43 cnf(7, plain, [subset(_14172, _14228), in(_14342, _14172), -(in(_14342, _14228))], clausify(d3_tarski)).
% 0.35/1.43 cnf(8, plain, [_14776 = set_difference(_14633, _14705), in(_14942, _14776), -(in(_14942, _14633))], clausify(d4_xboole_0)).
% 0.35/1.43 cnf(9, plain, [_14776 = set_difference(_14633, _14705), -(in(_14942, _14776)), in(_14942, _14633), -(in(_14942, _14705))], clausify(d4_xboole_0)).
% 0.35/1.43
% 0.35/1.43 cnf('1',plain,[8 ^ [] = set_union2(7 ^ [], set_difference(8 ^ [], 7 ^ []))],start(2)).
% 0.35/1.43 cnf('1.1',plain,[-(8 ^ [] = set_union2(7 ^ [], set_difference(8 ^ [], 7 ^ []))), -(in(1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], 8 ^ [])), -(in(1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], 7 ^ [])), -(in(1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], set_difference(8 ^ [], 7 ^ [])))],extension(6,bind([[_13626, _13487, _13557], [8 ^ [], 7 ^ [], set_difference(8 ^ [], 7 ^ [])]]))).
% 0.35/1.43 cnf('1.1.1',plain,[in(1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], 8 ^ []), set_difference(8 ^ [], 7 ^ []) = set_difference(8 ^ [], 7 ^ []), -(in(1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], set_difference(8 ^ [], 7 ^ []))), -(in(1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], 7 ^ []))],extension(9,bind([[_14633, _14776, _14942, _14705], [8 ^ [], set_difference(8 ^ [], 7 ^ []), 1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], 7 ^ []]]))).
% 0.35/1.43 cnf('1.1.1.1',plain,[-(set_difference(8 ^ [], 7 ^ []) = set_difference(8 ^ [], 7 ^ []))],extension(3,bind([[_9038], [set_difference(8 ^ [], 7 ^ [])]]))).
% 0.35/1.43 cnf('1.1.1.2',plain,[in(1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], set_difference(8 ^ [], 7 ^ [])), -(8 ^ [] = set_union2(7 ^ [], set_difference(8 ^ [], 7 ^ []))), in(1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], 8 ^ [])],extension(5,bind([[_13557, _13487, _13626], [set_difference(8 ^ [], 7 ^ []), 7 ^ [], 8 ^ []]]))).
% 0.35/1.43 cnf('1.1.1.2.1',plain,[8 ^ [] = set_union2(7 ^ [], set_difference(8 ^ [], 7 ^ []))],extension(2)).
% 0.35/1.43 cnf('1.1.1.2.2',plain,[-(in(1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], 8 ^ []))],reduction('1.1')).
% 0.35/1.43 cnf('1.1.1.3',plain,[in(1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], 7 ^ []), -(8 ^ [] = set_union2(7 ^ [], set_difference(8 ^ [], 7 ^ []))), in(1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], 8 ^ [])],extension(4,bind([[_13557, _13487, _13626], [set_difference(8 ^ [], 7 ^ []), 7 ^ [], 8 ^ []]]))).
% 0.35/1.43 cnf('1.1.1.3.1',plain,[8 ^ [] = set_union2(7 ^ [], set_difference(8 ^ [], 7 ^ []))],extension(2)).
% 0.35/1.43 cnf('1.1.1.3.2',plain,[-(in(1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], 8 ^ []))],reduction('1.1')).
% 0.35/1.43 cnf('1.1.2',plain,[in(1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], 7 ^ []), -(8 ^ [] = set_union2(7 ^ [], set_difference(8 ^ [], 7 ^ []))), in(1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], 8 ^ [])],extension(4,bind([[_13557, _13487, _13626], [set_difference(8 ^ [], 7 ^ []), 7 ^ [], 8 ^ []]]))).
% 0.35/1.43 cnf('1.1.2.1',plain,[8 ^ [] = set_union2(7 ^ [], set_difference(8 ^ [], 7 ^ []))],extension(2)).
% 0.35/1.43 cnf('1.1.2.2',plain,[-(in(1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], 8 ^ [])), subset(7 ^ [], 8 ^ []), in(1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], 7 ^ [])],extension(7,bind([[_14228, _14342, _14172], [8 ^ [], 1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], 7 ^ []]]))).
% 0.35/1.43 cnf('1.1.2.2.1',plain,[-(subset(7 ^ [], 8 ^ []))],extension(1)).
% 0.35/1.43 cnf('1.1.2.2.2',plain,[-(in(1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], 7 ^ []))],reduction('1.1')).
% 0.35/1.43 cnf('1.1.3',plain,[in(1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], set_difference(8 ^ [], 7 ^ [])), set_difference(8 ^ [], 7 ^ []) = set_difference(8 ^ [], 7 ^ []), -(in(1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], 8 ^ []))],extension(8,bind([[_14776, _14705, _14942, _14633], [set_difference(8 ^ [], 7 ^ []), 7 ^ [], 1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], 8 ^ []]]))).
% 0.35/1.43 cnf('1.1.3.1',plain,[-(set_difference(8 ^ [], 7 ^ []) = set_difference(8 ^ [], 7 ^ []))],extension(3,bind([[_9038], [set_difference(8 ^ [], 7 ^ [])]]))).
% 0.35/1.43 cnf('1.1.3.2',plain,[in(1 ^ [8 ^ [], set_difference(8 ^ [], 7 ^ []), 7 ^ []], 8 ^ [])],lemmata('1.1')).
% 0.35/1.43 %-----------------------------------------------------
% 0.43/1.43
% 0.43/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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