TSTP Solution File: SET599+3 by leanCoP---2.2
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- Process Solution
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% File : leanCoP---2.2
% Problem : SET599+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n014.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 02:54:34 EDT 2022
% Result : Theorem 0.34s 1.43s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET599+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.13 % Command : leancop_casc.sh %s %d
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 21:31:04 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.34/1.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.44
% 0.34/1.44 %-----------------------------------------------------
% 0.34/1.44 fof(prove_th58, conjecture, ! [_20338, _20341] : subset(difference(_20338, _20341), symmetric_difference(_20338, _20341)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th58)).
% 0.34/1.44 fof(symmetric_difference_defn, axiom, ! [_20488, _20491] : symmetric_difference(_20488, _20491) = union(difference(_20488, _20491), difference(_20491, _20488)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symmetric_difference_defn)).
% 0.34/1.44 fof(subset_of_union, axiom, ! [_20666, _20669] : subset(_20666, union(_20666, _20669)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset_of_union)).
% 0.34/1.44 fof(equal_member_defn, axiom, ! [_20811, _20814] : (_20811 = _20814 <=> ! [_20828] : (member(_20828, _20811) <=> member(_20828, _20814))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', equal_member_defn)).
% 0.34/1.44
% 0.34/1.44 cnf(1, plain, [subset(difference(3 ^ [], 4 ^ []), symmetric_difference(3 ^ [], 4 ^ []))], clausify(prove_th58)).
% 0.34/1.44 cnf(2, plain, [-(symmetric_difference(_9888, _9939) = union(difference(_9888, _9939), difference(_9939, _9888)))], clausify(symmetric_difference_defn)).
% 0.34/1.44 cnf(3, plain, [-(subset(_10284, union(_10284, _10326)))], clausify(subset_of_union)).
% 0.34/1.44 cnf(4, plain, [-(_12167 = _12223), member(2 ^ [_12223, _12167], _12167), member(2 ^ [_12223, _12167], _12223)], clausify(equal_member_defn)).
% 0.34/1.44 cnf(5, plain, [-(_12167 = _12223), -(member(2 ^ [_12223, _12167], _12167)), -(member(2 ^ [_12223, _12167], _12223))], clausify(equal_member_defn)).
% 0.34/1.44 cnf(6, plain, [_5937 = _5982, -(_5982 = _5937)], theory(equality)).
% 0.34/1.44 cnf(7, plain, [-(subset(_7373, _7504)), subset(_7306, _7439), _7306 = _7373, _7439 = _7504], theory(equality)).
% 0.34/1.44
% 0.34/1.44 cnf('1',plain,[subset(difference(3 ^ [], 4 ^ []), symmetric_difference(3 ^ [], 4 ^ []))],start(1)).
% 0.34/1.44 cnf('1.1',plain,[-(subset(difference(3 ^ [], 4 ^ []), symmetric_difference(3 ^ [], 4 ^ []))), subset(difference(3 ^ [], 4 ^ []), union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ []))), difference(3 ^ [], 4 ^ []) = difference(3 ^ [], 4 ^ []), union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ [])) = symmetric_difference(3 ^ [], 4 ^ [])],extension(7,bind([[_7306, _7373, _7439, _7504], [difference(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []), union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ [])), symmetric_difference(3 ^ [], 4 ^ [])]]))).
% 0.34/1.44 cnf('1.1.1',plain,[-(subset(difference(3 ^ [], 4 ^ []), union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ []))))],extension(3,bind([[_10284, _10326], [difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ [])]]))).
% 0.34/1.44 cnf('1.1.2',plain,[-(difference(3 ^ [], 4 ^ []) = difference(3 ^ [], 4 ^ [])), member(2 ^ [difference(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])], difference(3 ^ [], 4 ^ [])), member(2 ^ [difference(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])], difference(3 ^ [], 4 ^ []))],extension(4,bind([[_12167, _12223], [difference(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])]]))).
% 0.34/1.44 cnf('1.1.2.1',plain,[-(member(2 ^ [difference(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])], difference(3 ^ [], 4 ^ []))), -(difference(3 ^ [], 4 ^ []) = difference(3 ^ [], 4 ^ [])), -(member(2 ^ [difference(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])], difference(3 ^ [], 4 ^ [])))],extension(5,bind([[_12167, _12223], [difference(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])]]))).
% 0.34/1.44 cnf('1.1.2.1.1',plain,[difference(3 ^ [], 4 ^ []) = difference(3 ^ [], 4 ^ [])],reduction('1.1')).
% 0.34/1.44 cnf('1.1.2.1.2',plain,[member(2 ^ [difference(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])], difference(3 ^ [], 4 ^ []))],reduction('1.1.2')).
% 0.34/1.44 cnf('1.1.2.2',plain,[-(member(2 ^ [difference(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])], difference(3 ^ [], 4 ^ [])))],lemmata('1.1.2')).
% 0.34/1.44 cnf('1.1.3',plain,[-(union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ [])) = symmetric_difference(3 ^ [], 4 ^ [])), symmetric_difference(3 ^ [], 4 ^ []) = union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ []))],extension(6,bind([[_5937, _5982], [symmetric_difference(3 ^ [], 4 ^ []), union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ []))]]))).
% 0.34/1.44 cnf('1.1.3.1',plain,[-(symmetric_difference(3 ^ [], 4 ^ []) = union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ [])))],extension(2,bind([[_9939, _9888], [4 ^ [], 3 ^ []]]))).
% 0.34/1.44 %-----------------------------------------------------
% 0.34/1.45
% 0.34/1.45 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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