TSTP Solution File: SET585+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET585+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 02:54:24 EDT 2022
% Result : Theorem 0.34s 1.40s
% 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
% 0.03/0.12 % Problem : SET585+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n004.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 13:51:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.34/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.41
% 0.34/1.41 %-----------------------------------------------------
% 0.34/1.41 fof(prove_intersection_subset_of_union, conjecture, ! [_20052, _20055, _20058] : subset(intersection(_20052, _20055), union(_20052, _20058)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_intersection_subset_of_union)).
% 0.34/1.41 fof(union_defn, axiom, ! [_20223, _20226, _20229] : (member(_20229, union(_20223, _20226)) <=> member(_20229, _20223) | member(_20229, _20226)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', union_defn)).
% 0.34/1.41 fof(intersection_defn, axiom, ! [_20426, _20429, _20432] : (member(_20432, intersection(_20426, _20429)) <=> member(_20432, _20426) & member(_20432, _20429)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_defn)).
% 0.34/1.41 fof(subset_defn, axiom, ! [_20629, _20632] : (subset(_20629, _20632) <=> ! [_20650] : (member(_20650, _20629) => member(_20650, _20632))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset_defn)).
% 0.34/1.41
% 0.34/1.41 cnf(1, plain, [subset(intersection(3 ^ [], 4 ^ []), union(3 ^ [], 5 ^ []))], clausify(prove_intersection_subset_of_union)).
% 0.34/1.41 cnf(2, plain, [-(member(_10972, union(_10855, _10914))), member(_10972, _10855)], clausify(union_defn)).
% 0.34/1.41 cnf(3, plain, [member(_11485, intersection(_11368, _11427)), -(member(_11485, _11368))], clausify(intersection_defn)).
% 0.34/1.41 cnf(4, plain, [-(subset(_11881, _11937)), -(member(1 ^ [_11937, _11881], _11881))], clausify(subset_defn)).
% 0.34/1.41 cnf(5, plain, [-(subset(_11881, _11937)), member(1 ^ [_11937, _11881], _11937)], clausify(subset_defn)).
% 0.34/1.41
% 0.34/1.41 cnf('1',plain,[subset(intersection(3 ^ [], 4 ^ []), union(3 ^ [], 5 ^ []))],start(1)).
% 0.34/1.41 cnf('1.1',plain,[-(subset(intersection(3 ^ [], 4 ^ []), union(3 ^ [], 5 ^ []))), -(member(1 ^ [union(3 ^ [], 5 ^ []), intersection(3 ^ [], 4 ^ [])], intersection(3 ^ [], 4 ^ [])))],extension(4,bind([[_11937, _11881], [union(3 ^ [], 5 ^ []), intersection(3 ^ [], 4 ^ [])]]))).
% 0.34/1.41 cnf('1.1.1',plain,[member(1 ^ [union(3 ^ [], 5 ^ []), intersection(3 ^ [], 4 ^ [])], intersection(3 ^ [], 4 ^ [])), -(member(1 ^ [union(3 ^ [], 5 ^ []), intersection(3 ^ [], 4 ^ [])], 3 ^ []))],extension(3,bind([[_11427, _11485, _11368], [4 ^ [], 1 ^ [union(3 ^ [], 5 ^ []), intersection(3 ^ [], 4 ^ [])], 3 ^ []]]))).
% 0.34/1.41 cnf('1.1.1.1',plain,[member(1 ^ [union(3 ^ [], 5 ^ []), intersection(3 ^ [], 4 ^ [])], 3 ^ []), -(member(1 ^ [union(3 ^ [], 5 ^ []), intersection(3 ^ [], 4 ^ [])], union(3 ^ [], 5 ^ [])))],extension(2,bind([[_10972, _10855, _10914], [1 ^ [union(3 ^ [], 5 ^ []), intersection(3 ^ [], 4 ^ [])], 3 ^ [], 5 ^ []]]))).
% 0.34/1.41 cnf('1.1.1.1.1',plain,[member(1 ^ [union(3 ^ [], 5 ^ []), intersection(3 ^ [], 4 ^ [])], union(3 ^ [], 5 ^ [])), -(subset(intersection(3 ^ [], 4 ^ []), union(3 ^ [], 5 ^ [])))],extension(5,bind([[_11881, _11937], [intersection(3 ^ [], 4 ^ []), union(3 ^ [], 5 ^ [])]]))).
% 0.34/1.41 cnf('1.1.1.1.1.1',plain,[subset(intersection(3 ^ [], 4 ^ []), union(3 ^ [], 5 ^ []))],extension(1)).
% 0.34/1.41 %-----------------------------------------------------
% 0.34/1.42
% 0.34/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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