%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET616+3 : TPTP v8.1.0. Released v2.2.0.
% 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 02:54:48 EDT 2022
% Result : Theorem 0.42s 1.41s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET616+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n004.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 : Mon Jul 11 04:21:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.42/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/1.42
% 0.42/1.42 %-----------------------------------------------------
% 0.42/1.42 fof(prove_th90, conjecture, ! [_21675, _21678] : (difference(_21675, _21678) = difference(_21678, _21675) => _21675 = _21678), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th90)).
% 0.42/1.42 fof(member_equal, axiom, ! [_21884, _21887] : (! [_21895] : (member(_21895, _21884) <=> member(_21895, _21887)) => _21884 = _21887), file('/export/starexec/sandbox/benchmark/theBenchmark.p', member_equal)).
% 0.42/1.42 fof(difference_defn, axiom, ! [_22097, _22100, _22103] : (member(_22103, difference(_22097, _22100)) <=> member(_22103, _22097) & ~ member(_22103, _22100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', difference_defn)).
% 0.42/1.42 fof(equal_member_defn, axiom, ! [_22324, _22327] : (_22324 = _22327 <=> ! [_22341] : (member(_22341, _22324) <=> member(_22341, _22327))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_member_defn)).
% 0.42/1.42
% 0.42/1.42 cnf(1, plain, [-(difference(4 ^ [], 5 ^ []) = difference(5 ^ [], 4 ^ []))], clausify(prove_th90)).
% 0.42/1.42 cnf(2, plain, [4 ^ [] = 5 ^ []], clausify(prove_th90)).
% 0.42/1.42 cnf(3, plain, [-(_5295 = _5295)], theory(equality)).
% 0.42/1.42 cnf(4, plain, [-(member(_6270, _6401)), member(_6203, _6336), _6203 = _6270, _6336 = _6401], theory(equality)).
% 0.42/1.42 cnf(5, plain, [-(_8121 = _8177), member(1 ^ [_8177, _8121], _8121), member(1 ^ [_8177, _8121], _8177)], clausify(member_equal)).
% 0.42/1.42 cnf(6, plain, [-(_8121 = _8177), -(member(1 ^ [_8177, _8121], _8121)), -(member(1 ^ [_8177, _8121], _8177))], clausify(member_equal)).
% 0.42/1.42 cnf(7, plain, [member(_8703, difference(_8582, _8643)), member(_8703, _8643)], clausify(difference_defn)).
% 0.42/1.42 cnf(8, plain, [-(member(_8703, difference(_8582, _8643))), member(_8703, _8582), -(member(_8703, _8643))], clausify(difference_defn)).
% 0.42/1.42 cnf(9, plain, [_9513 = _9569, member(_9683, _9513), -(member(_9683, _9569))], clausify(equal_member_defn)).
% 0.42/1.42 cnf(10, plain, [_9513 = _9569, -(member(_9683, _9513)), member(_9683, _9569)], clausify(equal_member_defn)).
% 0.42/1.42
% 0.42/1.42 cnf('1',plain,[member(1 ^ [5 ^ [], 4 ^ []], difference(5 ^ [], 4 ^ [])), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])],start(7,bind([[_8582, _8703, _8643], [5 ^ [], 1 ^ [5 ^ [], 4 ^ []], 4 ^ []]]))).
% 0.42/1.42 cnf('1.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], difference(5 ^ [], 4 ^ []))), difference(4 ^ [], 5 ^ []) = difference(5 ^ [], 4 ^ []), member(1 ^ [5 ^ [], 4 ^ []], difference(4 ^ [], 5 ^ []))],extension(9,bind([[_9569, _9683, _9513], [difference(5 ^ [], 4 ^ []), 1 ^ [5 ^ [], 4 ^ []], difference(4 ^ [], 5 ^ [])]]))).
% 0.42/1.42 cnf('1.1.1',plain,[-(difference(4 ^ [], 5 ^ []) = difference(5 ^ [], 4 ^ []))],extension(1)).
% 0.42/1.42 cnf('1.1.2',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], difference(4 ^ [], 5 ^ []))), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []), -(member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []))],extension(8,bind([[_8582, _8703, _8643], [4 ^ [], 1 ^ [5 ^ [], 4 ^ []], 5 ^ []]]))).
% 0.42/1.42 cnf('1.1.2.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])), -(4 ^ [] = 5 ^ []), -(member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []))],extension(6,bind([[_8121, _8177], [4 ^ [], 5 ^ []]]))).
% 0.42/1.42 cnf('1.1.2.1.1',plain,[4 ^ [] = 5 ^ []],extension(2)).
% 0.42/1.42 cnf('1.1.2.1.2',plain,[member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []), -(member(1 ^ [5 ^ [], 4 ^ []], difference(5 ^ [], 4 ^ []))), -(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []))],extension(8,bind([[_8582, _8703, _8643], [5 ^ [], 1 ^ [5 ^ [], 4 ^ []], 4 ^ []]]))).
% 0.42/1.42 cnf('1.1.2.1.2.1',plain,[member(1 ^ [5 ^ [], 4 ^ []], difference(5 ^ [], 4 ^ []))],reduction('1')).
% 0.42/1.42 cnf('1.1.2.1.2.2',plain,[member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])],reduction('1.1.2')).
% 0.42/1.42 cnf('1.1.2.2',plain,[member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []), -(4 ^ [] = 5 ^ []), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])],extension(5,bind([[_8177, _8121], [5 ^ [], 4 ^ []]]))).
% 0.42/1.42 cnf('1.1.2.2.1',plain,[4 ^ [] = 5 ^ []],extension(2)).
% 0.42/1.42 cnf('1.1.2.2.2',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []))],lemmata('1.1.2')).
% 0.42/1.42 cnf('1.2',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []), 1 ^ [5 ^ [], 4 ^ []] = 1 ^ [5 ^ [], 4 ^ []], 4 ^ [] = 4 ^ []],extension(4,bind([[_6203, _6270, _6336, _6401], [1 ^ [5 ^ [], 4 ^ []], 1 ^ [5 ^ [], 4 ^ []], 4 ^ [], 4 ^ []]]))).
% 0.42/1.42 cnf('1.2.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])), -(4 ^ [] = 5 ^ []), -(member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []))],extension(6,bind([[_8121, _8177], [4 ^ [], 5 ^ []]]))).
% 0.42/1.42 cnf('1.2.1.1',plain,[4 ^ [] = 5 ^ []],extension(2)).
% 0.42/1.42 cnf('1.2.1.2',plain,[member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []), member(1 ^ [5 ^ [], 4 ^ []], difference(4 ^ [], 5 ^ []))],extension(7,bind([[_8703, _8582, _8643], [1 ^ [5 ^ [], 4 ^ []], 4 ^ [], 5 ^ []]]))).
% 0.42/1.42 cnf('1.2.1.2.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], difference(4 ^ [], 5 ^ []))), difference(4 ^ [], 5 ^ []) = difference(5 ^ [], 4 ^ []), member(1 ^ [5 ^ [], 4 ^ []], difference(5 ^ [], 4 ^ []))],extension(10,bind([[_9513, _9683, _9569], [difference(4 ^ [], 5 ^ []), 1 ^ [5 ^ [], 4 ^ []], difference(5 ^ [], 4 ^ [])]]))).
% 0.42/1.42 cnf('1.2.1.2.1.1',plain,[-(difference(4 ^ [], 5 ^ []) = difference(5 ^ [], 4 ^ []))],extension(1)).
% 0.42/1.42 cnf('1.2.1.2.1.2',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], difference(5 ^ [], 4 ^ [])))],lemmata('1')).
% 0.42/1.42 cnf('1.2.2',plain,[-(1 ^ [5 ^ [], 4 ^ []] = 1 ^ [5 ^ [], 4 ^ []])],extension(3,bind([[_5295], [1 ^ [5 ^ [], 4 ^ []]]]))).
% 0.42/1.42 cnf('1.2.3',plain,[-(4 ^ [] = 4 ^ [])],extension(3,bind([[_5295], [4 ^ []]]))).
% 0.42/1.42 %-----------------------------------------------------
% 0.42/1.42
% 0.42/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------