TSTP Solution File: SET593+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET593+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n019.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 02:54:29 EDT 2022
% Result : Theorem 0.42s 1.40s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET593+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 11:42:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.42/1.40 % 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_th52, conjecture, ! [_21901, _21904, _21907] : (subset(_21901, union(_21904, _21907)) => subset(difference(_21901, _21904), _21907) & subset(difference(_21901, _21907), _21904)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th52)).
% 0.42/1.42 fof(union_defn, axiom, ! [_22154, _22157, _22160] : (member(_22160, union(_22154, _22157)) <=> member(_22160, _22154) | member(_22160, _22157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', union_defn)).
% 0.42/1.42 fof(difference_defn, axiom, ! [_22355, _22358, _22361] : (member(_22361, difference(_22355, _22358)) <=> member(_22361, _22355) & ~ member(_22361, _22358)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', difference_defn)).
% 0.42/1.42 fof(subset_defn, axiom, ! [_22576, _22579] : (subset(_22576, _22579) <=> ! [_22597] : (member(_22597, _22576) => member(_22597, _22579))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset_defn)).
% 0.42/1.42
% 0.42/1.42 cnf(1, plain, [-(subset(3 ^ [], union(4 ^ [], 5 ^ [])))], clausify(prove_th52)).
% 0.42/1.42 cnf(2, plain, [subset(difference(3 ^ [], 4 ^ []), 5 ^ []), subset(difference(3 ^ [], 5 ^ []), 4 ^ [])], clausify(prove_th52)).
% 0.42/1.42 cnf(3, plain, [member(_9056, union(_8939, _8998)), -(member(_9056, _8939)), -(member(_9056, _8998))], clausify(union_defn)).
% 0.42/1.42 cnf(4, plain, [member(_9573, difference(_9452, _9513)), -(member(_9573, _9452))], clausify(difference_defn)).
% 0.42/1.42 cnf(5, plain, [member(_9573, difference(_9452, _9513)), member(_9573, _9513)], clausify(difference_defn)).
% 0.42/1.42 cnf(6, plain, [-(subset(_9987, _10043)), -(member(1 ^ [_10043, _9987], _9987))], clausify(subset_defn)).
% 0.42/1.42 cnf(7, plain, [-(subset(_9987, _10043)), member(1 ^ [_10043, _9987], _10043)], clausify(subset_defn)).
% 0.42/1.42 cnf(8, plain, [subset(_9987, _10043), member(_10157, _9987), -(member(_10157, _10043))], clausify(subset_defn)).
% 0.42/1.42
% 0.42/1.42 cnf('1',plain,[subset(difference(3 ^ [], 4 ^ []), 5 ^ []), subset(difference(3 ^ [], 5 ^ []), 4 ^ [])],start(2)).
% 0.42/1.42 cnf('1.1',plain,[-(subset(difference(3 ^ [], 4 ^ []), 5 ^ [])), -(member(1 ^ [5 ^ [], difference(3 ^ [], 4 ^ [])], difference(3 ^ [], 4 ^ [])))],extension(6,bind([[_10043, _9987], [5 ^ [], difference(3 ^ [], 4 ^ [])]]))).
% 0.42/1.42 cnf('1.1.1',plain,[member(1 ^ [5 ^ [], difference(3 ^ [], 4 ^ [])], difference(3 ^ [], 4 ^ [])), -(member(1 ^ [5 ^ [], difference(3 ^ [], 4 ^ [])], 3 ^ []))],extension(4,bind([[_9513, _9573, _9452], [4 ^ [], 1 ^ [5 ^ [], difference(3 ^ [], 4 ^ [])], 3 ^ []]]))).
% 0.42/1.42 cnf('1.1.1.1',plain,[member(1 ^ [5 ^ [], difference(3 ^ [], 4 ^ [])], 3 ^ []), subset(3 ^ [], union(4 ^ [], 5 ^ [])), -(member(1 ^ [5 ^ [], difference(3 ^ [], 4 ^ [])], union(4 ^ [], 5 ^ [])))],extension(8,bind([[_9987, _10157, _10043], [3 ^ [], 1 ^ [5 ^ [], difference(3 ^ [], 4 ^ [])], union(4 ^ [], 5 ^ [])]]))).
% 0.42/1.42 cnf('1.1.1.1.1',plain,[-(subset(3 ^ [], union(4 ^ [], 5 ^ [])))],extension(1)).
% 0.42/1.42 cnf('1.1.1.1.2',plain,[member(1 ^ [5 ^ [], difference(3 ^ [], 4 ^ [])], union(4 ^ [], 5 ^ [])), -(member(1 ^ [5 ^ [], difference(3 ^ [], 4 ^ [])], 4 ^ [])), -(member(1 ^ [5 ^ [], difference(3 ^ [], 4 ^ [])], 5 ^ []))],extension(3,bind([[_8939, _9056, _8998], [4 ^ [], 1 ^ [5 ^ [], difference(3 ^ [], 4 ^ [])], 5 ^ []]]))).
% 0.42/1.42 cnf('1.1.1.1.2.1',plain,[member(1 ^ [5 ^ [], difference(3 ^ [], 4 ^ [])], 4 ^ []), member(1 ^ [5 ^ [], difference(3 ^ [], 4 ^ [])], difference(3 ^ [], 4 ^ []))],extension(5,bind([[_9573, _9452, _9513], [1 ^ [5 ^ [], difference(3 ^ [], 4 ^ [])], 3 ^ [], 4 ^ []]]))).
% 0.42/1.42 cnf('1.1.1.1.2.1.1',plain,[-(member(1 ^ [5 ^ [], difference(3 ^ [], 4 ^ [])], difference(3 ^ [], 4 ^ [])))],reduction('1.1')).
% 0.42/1.42 cnf('1.1.1.1.2.2',plain,[member(1 ^ [5 ^ [], difference(3 ^ [], 4 ^ [])], 5 ^ []), -(subset(difference(3 ^ [], 4 ^ []), 5 ^ []))],extension(7,bind([[_9987, _10043], [difference(3 ^ [], 4 ^ []), 5 ^ []]]))).
% 0.42/1.42 cnf('1.1.1.1.2.2.1',plain,[subset(difference(3 ^ [], 4 ^ []), 5 ^ [])],reduction('1')).
% 0.42/1.42 cnf('1.2',plain,[-(subset(difference(3 ^ [], 5 ^ []), 4 ^ [])), -(member(1 ^ [4 ^ [], difference(3 ^ [], 5 ^ [])], difference(3 ^ [], 5 ^ [])))],extension(6,bind([[_10043, _9987], [4 ^ [], difference(3 ^ [], 5 ^ [])]]))).
% 0.42/1.42 cnf('1.2.1',plain,[member(1 ^ [4 ^ [], difference(3 ^ [], 5 ^ [])], difference(3 ^ [], 5 ^ [])), -(member(1 ^ [4 ^ [], difference(3 ^ [], 5 ^ [])], 3 ^ []))],extension(4,bind([[_9513, _9573, _9452], [5 ^ [], 1 ^ [4 ^ [], difference(3 ^ [], 5 ^ [])], 3 ^ []]]))).
% 0.42/1.42 cnf('1.2.1.1',plain,[member(1 ^ [4 ^ [], difference(3 ^ [], 5 ^ [])], 3 ^ []), subset(3 ^ [], union(4 ^ [], 5 ^ [])), -(member(1 ^ [4 ^ [], difference(3 ^ [], 5 ^ [])], union(4 ^ [], 5 ^ [])))],extension(8,bind([[_9987, _10157, _10043], [3 ^ [], 1 ^ [4 ^ [], difference(3 ^ [], 5 ^ [])], union(4 ^ [], 5 ^ [])]]))).
% 0.42/1.42 cnf('1.2.1.1.1',plain,[-(subset(3 ^ [], union(4 ^ [], 5 ^ [])))],extension(1)).
% 0.42/1.42 cnf('1.2.1.1.2',plain,[member(1 ^ [4 ^ [], difference(3 ^ [], 5 ^ [])], union(4 ^ [], 5 ^ [])), -(member(1 ^ [4 ^ [], difference(3 ^ [], 5 ^ [])], 4 ^ [])), -(member(1 ^ [4 ^ [], difference(3 ^ [], 5 ^ [])], 5 ^ []))],extension(3,bind([[_8939, _9056, _8998], [4 ^ [], 1 ^ [4 ^ [], difference(3 ^ [], 5 ^ [])], 5 ^ []]]))).
% 0.42/1.42 cnf('1.2.1.1.2.1',plain,[member(1 ^ [4 ^ [], difference(3 ^ [], 5 ^ [])], 4 ^ []), -(subset(difference(3 ^ [], 5 ^ []), 4 ^ []))],extension(7,bind([[_9987, _10043], [difference(3 ^ [], 5 ^ []), 4 ^ []]]))).
% 0.42/1.42 cnf('1.2.1.1.2.1.1',plain,[subset(difference(3 ^ [], 5 ^ []), 4 ^ [])],reduction('1')).
% 0.42/1.42 cnf('1.2.1.1.2.2',plain,[member(1 ^ [4 ^ [], difference(3 ^ [], 5 ^ [])], 5 ^ []), member(1 ^ [4 ^ [], difference(3 ^ [], 5 ^ [])], difference(3 ^ [], 5 ^ []))],extension(5,bind([[_9573, _9452, _9513], [1 ^ [4 ^ [], difference(3 ^ [], 5 ^ [])], 3 ^ [], 5 ^ []]]))).
% 0.42/1.42 cnf('1.2.1.1.2.2.1',plain,[-(member(1 ^ [4 ^ [], difference(3 ^ [], 5 ^ [])], difference(3 ^ [], 5 ^ [])))],reduction('1.2')).
% 0.42/1.42 %-----------------------------------------------------
% 0.42/1.42
% 0.42/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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