%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET977+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.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 02:57:27 EDT 2022
% Result : Theorem 0.34s 1.43s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET977+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 9 22:40:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.34/1.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.44 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.44
% 0.34/1.44 %-----------------------------------------------------
% 0.34/1.44 fof(t130_zfmisc_1, conjecture, ! [_22416, _22419] : ((! _22416) = empty_set => (! cartesian_product2(singleton(_22419), _22416)) = empty_set & (! cartesian_product2(_22416, singleton(_22419))) = empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t130_zfmisc_1)).
% 0.34/1.44 fof(d1_xboole_0, axiom, ! [_22662] : (_22662 = empty_set <=> ! [_22676] : ~ in(_22676, _22662)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_xboole_0)).
% 0.34/1.44 fof(t128_zfmisc_1, axiom, ! [_22849, _22852, _22855, _22858] : (in(ordered_pair(_22849, _22852), cartesian_product2(singleton(_22855), _22858)) <=> _22849 = _22855 & in(_22852, _22858)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t128_zfmisc_1)).
% 0.34/1.44 fof(t129_zfmisc_1, axiom, ! [_23084, _23087, _23090, _23093] : (in(ordered_pair(_23084, _23087), cartesian_product2(_23090, singleton(_23093))) <=> in(_23084, _23090) & _23087 = _23093), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t129_zfmisc_1)).
% 0.34/1.44
% 0.34/1.44 cnf(1, plain, [4 ^ [] = empty_set], clausify(t130_zfmisc_1)).
% 0.34/1.44 cnf(2, plain, [-(cartesian_product2(singleton(5 ^ []), 4 ^ []) = empty_set), -(cartesian_product2(4 ^ [], singleton(5 ^ [])) = empty_set)], clausify(t130_zfmisc_1)).
% 0.34/1.44 cnf(3, plain, [_11260 = empty_set, in(_11366, _11260)], clausify(d1_xboole_0)).
% 0.34/1.44 cnf(4, plain, [-(_11260 = empty_set), -(in(1 ^ [_11260], _11260))], clausify(d1_xboole_0)).
% 0.34/1.44 cnf(5, plain, [-(in(ordered_pair(_12657, _12726), cartesian_product2(singleton(_12794), _12861))), _12657 = _12794, in(_12726, _12861)], clausify(t128_zfmisc_1)).
% 0.34/1.44 cnf(6, plain, [-(in(ordered_pair(_13316, _13385), cartesian_product2(_13453, singleton(_13520)))), in(_13316, _13453), _13385 = _13520], clausify(t129_zfmisc_1)).
% 0.34/1.44 cnf(7, plain, [-(_6467 = _6467)], theory(equality)).
% 0.34/1.44
% 0.34/1.44 cnf('1',plain,[cartesian_product2(singleton(5 ^ []), 4 ^ []) = empty_set, in(1 ^ [cartesian_product2(singleton(5 ^ []), 4 ^ [])], cartesian_product2(singleton(5 ^ []), 4 ^ []))],start(3,bind([[_11366, _11260], [1 ^ [cartesian_product2(singleton(5 ^ []), 4 ^ [])], cartesian_product2(singleton(5 ^ []), 4 ^ [])]]))).
% 0.34/1.44 cnf('1.1',plain,[-(cartesian_product2(singleton(5 ^ []), 4 ^ []) = empty_set), -(cartesian_product2(4 ^ [], singleton(5 ^ [])) = empty_set)],extension(2)).
% 0.34/1.44 cnf('1.1.1',plain,[cartesian_product2(4 ^ [], singleton(5 ^ [])) = empty_set, in(ordered_pair(1 ^ [4 ^ []], 5 ^ []), cartesian_product2(4 ^ [], singleton(5 ^ [])))],extension(3,bind([[_11366, _11260], [ordered_pair(1 ^ [4 ^ []], 5 ^ []), cartesian_product2(4 ^ [], singleton(5 ^ []))]]))).
% 0.34/1.44 cnf('1.1.1.1',plain,[-(in(ordered_pair(1 ^ [4 ^ []], 5 ^ []), cartesian_product2(4 ^ [], singleton(5 ^ [])))), in(1 ^ [4 ^ []], 4 ^ []), 5 ^ [] = 5 ^ []],extension(6,bind([[_13316, _13453, _13385, _13520], [1 ^ [4 ^ []], 4 ^ [], 5 ^ [], 5 ^ []]]))).
% 0.34/1.44 cnf('1.1.1.1.1',plain,[-(in(1 ^ [4 ^ []], 4 ^ [])), -(4 ^ [] = empty_set)],extension(4,bind([[_11260], [4 ^ []]]))).
% 0.34/1.44 cnf('1.1.1.1.1.1',plain,[4 ^ [] = empty_set],extension(1)).
% 0.34/1.44 cnf('1.1.1.1.2',plain,[-(5 ^ [] = 5 ^ [])],extension(7,bind([[_6467], [5 ^ []]]))).
% 0.34/1.44 cnf('1.2',plain,[-(in(1 ^ [cartesian_product2(singleton(5 ^ []), 4 ^ [])], cartesian_product2(singleton(5 ^ []), 4 ^ []))), -(cartesian_product2(singleton(5 ^ []), 4 ^ []) = empty_set)],extension(4,bind([[_11260], [cartesian_product2(singleton(5 ^ []), 4 ^ [])]]))).
% 0.34/1.44 cnf('1.2.1',plain,[cartesian_product2(singleton(5 ^ []), 4 ^ []) = empty_set, in(ordered_pair(5 ^ [], 1 ^ [4 ^ []]), cartesian_product2(singleton(5 ^ []), 4 ^ []))],extension(3,bind([[_11366, _11260], [ordered_pair(5 ^ [], 1 ^ [4 ^ []]), cartesian_product2(singleton(5 ^ []), 4 ^ [])]]))).
% 0.34/1.44 cnf('1.2.1.1',plain,[-(in(ordered_pair(5 ^ [], 1 ^ [4 ^ []]), cartesian_product2(singleton(5 ^ []), 4 ^ []))), 5 ^ [] = 5 ^ [], in(1 ^ [4 ^ []], 4 ^ [])],extension(5,bind([[_12657, _12794, _12726, _12861], [5 ^ [], 5 ^ [], 1 ^ [4 ^ []], 4 ^ []]]))).
% 0.34/1.44 cnf('1.2.1.1.1',plain,[-(5 ^ [] = 5 ^ [])],extension(7,bind([[_6467], [5 ^ []]]))).
% 0.34/1.44 cnf('1.2.1.1.2',plain,[-(in(1 ^ [4 ^ []], 4 ^ [])), -(4 ^ [] = empty_set)],extension(4,bind([[_11260], [4 ^ []]]))).
% 0.34/1.44 cnf('1.2.1.1.2.1',plain,[4 ^ [] = empty_set],extension(1)).
% 0.34/1.44 %-----------------------------------------------------
% 0.34/1.45
% 0.34/1.45 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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