TSTP Solution File: SET633+3 by leanCoP---2.2
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% File : leanCoP---2.2
% Problem : SET633+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n015.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 02:55:00 EDT 2022
% Result : Theorem 0.55s 1.40s
% Output : Proof 0.55s
% 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 : SET633+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 9 22:11:37 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.55/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/1.41
% 0.55/1.41 %-----------------------------------------------------
% 0.55/1.41 fof(prove_th115, conjecture, ! [_21316, _21319, _21322] : (subset(difference(_21316, _21319), _21322) & subset(difference(_21319, _21316), _21322) => subset(symmetric_difference(_21316, _21319), _21322)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th115)).
% 0.55/1.41 fof(symmetric_difference_defn, axiom, ! [_21612, _21615] : symmetric_difference(_21612, _21615) = union(difference(_21612, _21615), difference(_21615, _21612)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symmetric_difference_defn)).
% 0.55/1.41 fof(union_subset, axiom, ! [_21790, _21793, _21796] : (subset(_21790, _21793) & subset(_21796, _21793) => subset(union(_21790, _21796), _21793)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', union_subset)).
% 0.55/1.41
% 0.55/1.41 cnf(1, plain, [-(subset(difference(3 ^ [], 4 ^ []), 5 ^ []))], clausify(prove_th115)).
% 0.55/1.41 cnf(2, plain, [-(subset(difference(4 ^ [], 3 ^ []), 5 ^ []))], clausify(prove_th115)).
% 0.55/1.41 cnf(3, plain, [subset(symmetric_difference(3 ^ [], 4 ^ []), 5 ^ [])], clausify(prove_th115)).
% 0.55/1.41 cnf(4, plain, [-(_6156 = _6156)], theory(equality)).
% 0.55/1.41 cnf(5, plain, [_6309 = _6354, -(_6354 = _6309)], theory(equality)).
% 0.55/1.41 cnf(6, plain, [-(subset(_7745, _7876)), subset(_7678, _7811), _7678 = _7745, _7811 = _7876], theory(equality)).
% 0.55/1.41 cnf(7, plain, [-(symmetric_difference(_10260, _10311) = union(difference(_10260, _10311), difference(_10311, _10260)))], clausify(symmetric_difference_defn)).
% 0.55/1.41 cnf(8, plain, [-(subset(union(_10656, _10773), _10715)), subset(_10656, _10715), subset(_10773, _10715)], clausify(union_subset)).
% 0.55/1.41
% 0.55/1.41 cnf('1',plain,[subset(symmetric_difference(3 ^ [], 4 ^ []), 5 ^ [])],start(3)).
% 0.55/1.41 cnf('1.1',plain,[-(subset(symmetric_difference(3 ^ [], 4 ^ []), 5 ^ [])), subset(union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ [])), 5 ^ []), union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ [])) = symmetric_difference(3 ^ [], 4 ^ []), 5 ^ [] = 5 ^ []],extension(6,bind([[_7678, _7745, _7811, _7876], [union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ [])), symmetric_difference(3 ^ [], 4 ^ []), 5 ^ [], 5 ^ []]]))).
% 0.55/1.41 cnf('1.1.1',plain,[-(subset(union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ [])), 5 ^ [])), subset(union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ [])), 5 ^ []), union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ [])), 5 ^ [] = 5 ^ []],extension(6,bind([[_7678, _7745, _7811, _7876], [union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ [])), union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ [])), 5 ^ [], 5 ^ []]]))).
% 0.55/1.41 cnf('1.1.1.1',plain,[-(subset(union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ [])), 5 ^ [])), subset(difference(3 ^ [], 4 ^ []), 5 ^ []), subset(difference(4 ^ [], 3 ^ []), 5 ^ [])],extension(8,bind([[_10656, _10773, _10715], [difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ []), 5 ^ []]]))).
% 0.55/1.41 cnf('1.1.1.1.1',plain,[-(subset(difference(3 ^ [], 4 ^ []), 5 ^ []))],extension(1)).
% 0.55/1.41 cnf('1.1.1.1.2',plain,[-(subset(difference(4 ^ [], 3 ^ []), 5 ^ []))],extension(2)).
% 0.55/1.41 cnf('1.1.1.2',plain,[-(union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ [])))],extension(4,bind([[_6156], [union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ []))]]))).
% 0.55/1.41 cnf('1.1.1.3',plain,[-(5 ^ [] = 5 ^ [])],extension(4,bind([[_6156], [5 ^ []]]))).
% 0.55/1.41 cnf('1.1.2',plain,[-(union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ [])) = symmetric_difference(3 ^ [], 4 ^ [])), symmetric_difference(3 ^ [], 4 ^ []) = union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ []))],extension(5,bind([[_6309, _6354], [symmetric_difference(3 ^ [], 4 ^ []), union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ []))]]))).
% 0.55/1.41 cnf('1.1.2.1',plain,[-(symmetric_difference(3 ^ [], 4 ^ []) = union(difference(3 ^ [], 4 ^ []), difference(4 ^ [], 3 ^ [])))],extension(7,bind([[_10311, _10260], [4 ^ [], 3 ^ []]]))).
% 0.55/1.41 cnf('1.1.3',plain,[-(5 ^ [] = 5 ^ [])],extension(4,bind([[_6156], [5 ^ []]]))).
% 0.55/1.41 %-----------------------------------------------------
% 0.55/1.42
% 0.55/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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