TSTP Solution File: SET608+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET608+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n003.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 02:54:41 EDT 2022
% Result : Theorem 0.46s 1.42s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET608+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.14/0.35 % Computer : n003.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 07:14:44 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.46/1.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/1.43 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/1.44
% 0.46/1.44 %-----------------------------------------------------
% 0.46/1.44 fof(prove_union_intersection_difference, conjecture, ! [_29919, _29922] : union(intersection(_29919, _29922), difference(_29919, _29922)) = _29919, file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_union_intersection_difference)).
% 0.46/1.44 fof(union_defn, axiom, ! [_30089, _30092, _30095] : (member(_30095, union(_30089, _30092)) <=> member(_30095, _30089) | member(_30095, _30092)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', union_defn)).
% 0.46/1.44 fof(intersection_defn, axiom, ! [_30314, _30317, _30320] : (member(_30320, intersection(_30314, _30317)) <=> member(_30320, _30314) & member(_30320, _30317)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_defn)).
% 0.46/1.44 fof(difference_defn, axiom, ! [_30528, _30531, _30534] : (member(_30534, difference(_30528, _30531)) <=> member(_30534, _30528) & ~ member(_30534, _30531)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', difference_defn)).
% 0.46/1.44 fof(equal_member_defn, axiom, ! [_30771, _30774] : (_30771 = _30774 <=> ! [_30788] : (member(_30788, _30771) <=> member(_30788, _30774))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_member_defn)).
% 0.46/1.44
% 0.46/1.44 cnf(1, plain, [union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])) = 3 ^ []], clausify(prove_union_intersection_difference)).
% 0.46/1.44 cnf(2, plain, [-(member(_10607, union(_10490, _10549))), member(_10607, _10490)], clausify(union_defn)).
% 0.46/1.44 cnf(3, plain, [-(member(_10607, union(_10490, _10549))), member(_10607, _10549)], clausify(union_defn)).
% 0.46/1.44 cnf(4, plain, [member(_10607, union(_10490, _10549)), -(member(_10607, _10490)), -(member(_10607, _10549))], clausify(union_defn)).
% 0.46/1.44 cnf(5, plain, [member(_11120, intersection(_11003, _11062)), -(member(_11120, _11003))], clausify(intersection_defn)).
% 0.46/1.44 cnf(6, plain, [-(member(_11120, intersection(_11003, _11062))), member(_11120, _11003), member(_11120, _11062)], clausify(intersection_defn)).
% 0.46/1.44 cnf(7, plain, [member(_11637, difference(_11516, _11577)), -(member(_11637, _11516))], clausify(difference_defn)).
% 0.46/1.44 cnf(8, plain, [member(_11637, difference(_11516, _11577)), member(_11637, _11577)], clausify(difference_defn)).
% 0.46/1.44 cnf(9, plain, [-(member(_11637, difference(_11516, _11577))), member(_11637, _11516), -(member(_11637, _11577))], clausify(difference_defn)).
% 0.46/1.44 cnf(10, plain, [-(_13692 = _13748), member(2 ^ [_13748, _13692], _13692), member(2 ^ [_13748, _13692], _13748)], clausify(equal_member_defn)).
% 0.46/1.44 cnf(11, plain, [-(_13692 = _13748), -(member(2 ^ [_13748, _13692], _13692)), -(member(2 ^ [_13748, _13692], _13748))], clausify(equal_member_defn)).
% 0.46/1.44
% 0.46/1.44 cnf('1',plain,[member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], difference(3 ^ [], 4 ^ [])), member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 4 ^ [])],start(8,bind([[_11516, _11637, _11577], [3 ^ [], 2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 4 ^ []]]))).
% 0.46/1.44 cnf('1.1',plain,[-(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], difference(3 ^ [], 4 ^ []))), member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))), -(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], intersection(3 ^ [], 4 ^ [])))],extension(4,bind([[_10549, _10607, _10490], [difference(3 ^ [], 4 ^ []), 2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], intersection(3 ^ [], 4 ^ [])]]))).
% 0.46/1.44 cnf('1.1.1',plain,[-(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])))), member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], intersection(3 ^ [], 4 ^ []))],extension(2,bind([[_10549, _10607, _10490], [difference(3 ^ [], 4 ^ []), 2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], intersection(3 ^ [], 4 ^ [])]]))).
% 0.46/1.44 cnf('1.1.1.1',plain,[-(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], intersection(3 ^ [], 4 ^ []))), member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 3 ^ []), member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 4 ^ [])],extension(6,bind([[_11003, _11120, _11062], [3 ^ [], 2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 4 ^ []]]))).
% 0.46/1.44 cnf('1.1.1.1.1',plain,[-(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 3 ^ [])), -(union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])) = 3 ^ []), -(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))))],extension(11,bind([[_13748, _13692], [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))]]))).
% 0.46/1.44 cnf('1.1.1.1.1.1',plain,[union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])) = 3 ^ []],extension(1)).
% 0.46/1.44 cnf('1.1.1.1.1.2',plain,[member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])))],reduction('1.1')).
% 0.46/1.44 cnf('1.1.1.1.2',plain,[-(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 4 ^ [])), -(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], difference(3 ^ [], 4 ^ []))), member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 3 ^ [])],extension(9,bind([[_11577, _11637, _11516], [4 ^ [], 2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 3 ^ []]]))).
% 0.46/1.44 cnf('1.1.1.1.2.1',plain,[member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], difference(3 ^ [], 4 ^ []))],reduction('1')).
% 0.46/1.44 cnf('1.1.1.1.2.2',plain,[-(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 3 ^ []))],lemmata('1.1.1.1')).
% 0.46/1.44 cnf('1.1.2',plain,[member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], intersection(3 ^ [], 4 ^ [])), -(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))))],extension(2,bind([[_10607, _10490, _10549], [2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])]]))).
% 0.46/1.44 cnf('1.1.2.1',plain,[member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))), -(union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])) = 3 ^ []), member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 3 ^ [])],extension(10,bind([[_13692, _13748], [union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])), 3 ^ []]]))).
% 0.46/1.44 cnf('1.1.2.1.1',plain,[union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])) = 3 ^ []],extension(1)).
% 0.46/1.44 cnf('1.1.2.1.2',plain,[-(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 3 ^ [])), member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], intersection(3 ^ [], 4 ^ []))],extension(5,bind([[_11120, _11003, _11062], [2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 3 ^ [], 4 ^ []]]))).
% 0.46/1.44 cnf('1.1.2.1.2.1',plain,[-(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], intersection(3 ^ [], 4 ^ [])))],reduction('1.1')).
% 0.46/1.44 cnf('1.2',plain,[-(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 4 ^ [])), -(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], difference(3 ^ [], 4 ^ []))), member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 3 ^ [])],extension(9,bind([[_11577, _11637, _11516], [4 ^ [], 2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 3 ^ []]]))).
% 0.46/1.44 cnf('1.2.1',plain,[member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], difference(3 ^ [], 4 ^ [])), -(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))))],extension(3,bind([[_10607, _10490, _10549], [2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])]]))).
% 0.46/1.44 cnf('1.2.1.1',plain,[member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))), -(union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])) = 3 ^ []), member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 3 ^ [])],extension(10,bind([[_13692, _13748], [union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])), 3 ^ []]]))).
% 0.46/1.44 cnf('1.2.1.1.1',plain,[union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])) = 3 ^ []],extension(1)).
% 0.46/1.44 cnf('1.2.1.1.2',plain,[-(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 3 ^ [])), member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], difference(3 ^ [], 4 ^ []))],extension(7,bind([[_11637, _11516, _11577], [2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 3 ^ [], 4 ^ []]]))).
% 0.46/1.44 cnf('1.2.1.1.2.1',plain,[-(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], difference(3 ^ [], 4 ^ [])))],lemmata('1')).
% 0.46/1.44 cnf('1.2.2',plain,[-(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 3 ^ [])), member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], union(3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])))), -(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))))],extension(4,bind([[_10490, _10607, _10549], [3 ^ [], 2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))]]))).
% 0.46/1.44 cnf('1.2.2.1',plain,[-(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], union(3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))))), member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])))],extension(3,bind([[_10490, _10607, _10549], [3 ^ [], 2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))]]))).
% 0.46/1.44 cnf('1.2.2.1.1',plain,[-(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])))), -(union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])) = 3 ^ []), -(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 3 ^ []))],extension(11,bind([[_13692, _13748], [union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])), 3 ^ []]]))).
% 0.46/1.44 cnf('1.2.2.1.1.1',plain,[union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ [])) = 3 ^ []],extension(1)).
% 0.46/1.44 cnf('1.2.2.1.1.2',plain,[member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 3 ^ [])],reduction('1.2')).
% 0.46/1.44 cnf('1.2.2.2',plain,[member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))), -(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], intersection(3 ^ [], 4 ^ []))), -(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], difference(3 ^ [], 4 ^ [])))],extension(4,bind([[_10490, _10607, _10549], [intersection(3 ^ [], 4 ^ []), 2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], difference(3 ^ [], 4 ^ [])]]))).
% 0.46/1.44 cnf('1.2.2.2.1',plain,[member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], intersection(3 ^ [], 4 ^ [])), -(member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 3 ^ []))],extension(5,bind([[_11062, _11120, _11003], [4 ^ [], 2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 3 ^ []]]))).
% 0.46/1.44 cnf('1.2.2.2.1.1',plain,[member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], 3 ^ [])],reduction('1.2')).
% 0.46/1.44 cnf('1.2.2.2.2',plain,[member(2 ^ [3 ^ [], union(intersection(3 ^ [], 4 ^ []), difference(3 ^ [], 4 ^ []))], difference(3 ^ [], 4 ^ []))],lemmata('1.2')).
% 0.46/1.44 %-----------------------------------------------------
% 0.46/1.44
% 0.46/1.44 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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