TSTP Solution File: SET611+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET611+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n027.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 02:54:44 EDT 2022
% Result : Theorem 10.10s 10.72s
% Output : Proof 10.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET611+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n027.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 : Sun Jul 10 14:45:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 10.10/10.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.10/10.73 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.10/10.73
% 10.10/10.73 %-----------------------------------------------------
% 10.10/10.73 fof(prove_th84, conjecture, ! [_29141, _29144] : (intersection(_29141, _29144) = empty_set <=> difference(_29141, _29144) = _29141), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th84)).
% 10.10/10.73 fof(member_equal, axiom, ! [_29385, _29388] : (! [_29396] : (member(_29396, _29385) <=> member(_29396, _29388)) => _29385 = _29388), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', member_equal)).
% 10.10/10.73 fof(intersection_defn, axiom, ! [_29597, _29600, _29603] : (member(_29603, intersection(_29597, _29600)) <=> member(_29603, _29597) & member(_29603, _29600)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersection_defn)).
% 10.10/10.73 fof(difference_defn, axiom, ! [_29822, _29825, _29828] : (member(_29828, difference(_29822, _29825)) <=> member(_29828, _29822) & ~ member(_29828, _29825)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', difference_defn)).
% 10.10/10.73 fof(empty_set_defn, axiom, ! [_30054] : ~ member(_30054, empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', empty_set_defn)).
% 10.10/10.73 fof(equal_member_defn, axiom, ! [_30178, _30181] : (_30178 = _30181 <=> ! [_30195] : (member(_30195, _30178) <=> member(_30195, _30181))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', equal_member_defn)).
% 10.10/10.73
% 10.10/10.73 cnf(1, plain, [-(8 ^ []), intersection(5 ^ [], 6 ^ []) = empty_set], clausify(prove_th84)).
% 10.10/10.73 cnf(2, plain, [-(8 ^ []), -(difference(5 ^ [], 6 ^ []) = 5 ^ [])], clausify(prove_th84)).
% 10.10/10.73 cnf(3, plain, [-(7 ^ []), difference(5 ^ [], 6 ^ []) = 5 ^ []], clausify(prove_th84)).
% 10.10/10.73 cnf(4, plain, [-(7 ^ []), -(intersection(5 ^ [], 6 ^ []) = empty_set)], clausify(prove_th84)).
% 10.10/10.73 cnf(5, plain, [7 ^ [], 8 ^ []], clausify(prove_th84)).
% 10.10/10.73 cnf(6, plain, [-(_6643 = _6643)], theory(equality)).
% 10.10/10.73 cnf(7, plain, [-(member(_7947, _8078)), member(_7880, _8013), _7880 = _7947, _8013 = _8078], theory(equality)).
% 10.10/10.73 cnf(8, plain, [-(_10452 = _10508), member(1 ^ [_10508, _10452], _10452), member(1 ^ [_10508, _10452], _10508)], clausify(member_equal)).
% 10.10/10.73 cnf(9, plain, [-(_10452 = _10508), -(member(1 ^ [_10508, _10452], _10452)), -(member(1 ^ [_10508, _10452], _10508))], clausify(member_equal)).
% 10.10/10.73 cnf(10, plain, [member(_11030, intersection(_10913, _10972)), -(member(_11030, _10913))], clausify(intersection_defn)).
% 10.10/10.73 cnf(11, plain, [member(_11030, intersection(_10913, _10972)), -(member(_11030, _10972))], clausify(intersection_defn)).
% 10.10/10.73 cnf(12, plain, [-(member(_11030, intersection(_10913, _10972))), member(_11030, _10913), member(_11030, _10972)], clausify(intersection_defn)).
% 10.10/10.73 cnf(13, plain, [member(_11547, difference(_11426, _11487)), -(member(_11547, _11426))], clausify(difference_defn)).
% 10.10/10.73 cnf(14, plain, [member(_11547, difference(_11426, _11487)), member(_11547, _11487)], clausify(difference_defn)).
% 10.10/10.73 cnf(15, plain, [-(member(_11547, difference(_11426, _11487))), member(_11547, _11426), -(member(_11547, _11487))], clausify(difference_defn)).
% 10.10/10.73 cnf(16, plain, [member(_11961, empty_set)], clausify(empty_set_defn)).
% 10.10/10.73 cnf(17, plain, [_12859 = _12915, member(_13029, _12859), -(member(_13029, _12915))], clausify(equal_member_defn)).
% 10.10/10.73 cnf(18, plain, [_12859 = _12915, -(member(_13029, _12859)), member(_13029, _12915)], clausify(equal_member_defn)).
% 10.10/10.73
% 10.10/10.73 cnf('1',plain,[7 ^ [], 8 ^ []],start(5)).
% 10.10/10.73 cnf('1.1',plain,[-(7 ^ []), -(intersection(5 ^ [], 6 ^ []) = empty_set)],extension(4)).
% 10.10/10.73 cnf('1.1.1',plain,[intersection(5 ^ [], 6 ^ []) = empty_set, member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], intersection(5 ^ [], 6 ^ [])), -(member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], empty_set))],extension(17,bind([[_12859, _13029, _12915], [intersection(5 ^ [], 6 ^ []), 1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], empty_set]]))).
% 10.10/10.73 cnf('1.1.1.1',plain,[-(member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], intersection(5 ^ [], 6 ^ []))), member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], 5 ^ []), member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], 6 ^ [])],extension(12,bind([[_10913, _11030, _10972], [5 ^ [], 1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], 6 ^ []]]))).
% 10.10/10.73 cnf('1.1.1.1.1',plain,[-(member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], 5 ^ [])), member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], difference(5 ^ [], 6 ^ [])), 1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])] = 1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], difference(5 ^ [], 6 ^ []) = 5 ^ []],extension(7,bind([[_7880, _7947, _8013, _8078], [1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], 1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], difference(5 ^ [], 6 ^ []), 5 ^ []]]))).
% 10.10/10.73 cnf('1.1.1.1.1.1',plain,[-(member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], difference(5 ^ [], 6 ^ []))), -(difference(5 ^ [], 6 ^ []) = 5 ^ []), -(member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], 5 ^ []))],extension(9,bind([[_10452, _10508], [difference(5 ^ [], 6 ^ []), 5 ^ []]]))).
% 10.10/10.73 cnf('1.1.1.1.1.1.1',plain,[difference(5 ^ [], 6 ^ []) = 5 ^ [], -(7 ^ [])],extension(3)).
% 10.10/10.73 cnf('1.1.1.1.1.1.1.1',plain,[7 ^ []],reduction('1')).
% 10.10/10.73 cnf('1.1.1.1.1.1.2',plain,[member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], 5 ^ [])],reduction('1.1.1.1')).
% 10.10/10.73 cnf('1.1.1.1.1.2',plain,[-(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])] = 1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])])],extension(6,bind([[_6643], [1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])]]]))).
% 10.10/10.73 cnf('1.1.1.1.1.3',plain,[-(difference(5 ^ [], 6 ^ []) = 5 ^ []), -(member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], difference(5 ^ [], 6 ^ []))), -(member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], 5 ^ []))],extension(9,bind([[_10452, _10508], [difference(5 ^ [], 6 ^ []), 5 ^ []]]))).
% 10.10/10.73 cnf('1.1.1.1.1.3.1',plain,[member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], difference(5 ^ [], 6 ^ [])), -(member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], 5 ^ []))],extension(13,bind([[_11487, _11547, _11426], [6 ^ [], 1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], 5 ^ []]]))).
% 10.10/10.73 cnf('1.1.1.1.1.3.1.1',plain,[member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], 5 ^ [])],reduction('1.1.1.1')).
% 10.10/10.73 cnf('1.1.1.1.1.3.2',plain,[member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], 5 ^ [])],reduction('1.1.1.1')).
% 10.10/10.73 cnf('1.1.1.1.2',plain,[-(member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], 6 ^ [])), -(member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], difference(5 ^ [], 6 ^ []))), member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], 5 ^ [])],extension(15,bind([[_11487, _11547, _11426], [6 ^ [], 1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], 5 ^ []]]))).
% 10.10/10.73 cnf('1.1.1.1.2.1',plain,[member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], difference(5 ^ [], 6 ^ [])), -(difference(5 ^ [], 6 ^ []) = 5 ^ []), member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], 5 ^ [])],extension(8,bind([[_10452, _10508], [difference(5 ^ [], 6 ^ []), 5 ^ []]]))).
% 10.10/10.73 cnf('1.1.1.1.2.1.1',plain,[difference(5 ^ [], 6 ^ []) = 5 ^ [], -(7 ^ [])],extension(3)).
% 10.10/10.73 cnf('1.1.1.1.2.1.1.1',plain,[7 ^ []],reduction('1')).
% 10.10/10.73 cnf('1.1.1.1.2.1.2',plain,[-(member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], 5 ^ []))],lemmata('1.1.1.1')).
% 10.10/10.73 cnf('1.1.1.1.2.2',plain,[-(member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], 5 ^ []))],lemmata('1.1.1.1')).
% 10.10/10.73 cnf('1.1.1.2',plain,[member(1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])], empty_set)],extension(16,bind([[_11961], [1 ^ [5 ^ [], difference(5 ^ [], 6 ^ [])]]]))).
% 10.10/10.73 cnf('1.2',plain,[-(8 ^ []), intersection(5 ^ [], 6 ^ []) = empty_set],extension(1)).
% 10.10/10.73 cnf('1.2.1',plain,[-(intersection(5 ^ [], 6 ^ []) = empty_set), -(member(1 ^ [empty_set, intersection(5 ^ [], 6 ^ [])], intersection(5 ^ [], 6 ^ []))), -(member(1 ^ [empty_set, intersection(5 ^ [], 6 ^ [])], empty_set))],extension(9,bind([[_10452, _10508], [intersection(5 ^ [], 6 ^ []), empty_set]]))).
% 10.10/10.73 cnf('1.2.1.1',plain,[member(1 ^ [empty_set, intersection(5 ^ [], 6 ^ [])], intersection(5 ^ [], 6 ^ [])), -(member(1 ^ [empty_set, intersection(5 ^ [], 6 ^ [])], 5 ^ []))],extension(10,bind([[_10972, _11030, _10913], [6 ^ [], 1 ^ [empty_set, intersection(5 ^ [], 6 ^ [])], 5 ^ []]]))).
% 10.10/10.73 cnf('1.2.1.1.1',plain,[member(1 ^ [empty_set, intersection(5 ^ [], 6 ^ [])], 5 ^ []), difference(5 ^ [], 6 ^ []) = 5 ^ [], -(member(1 ^ [empty_set, intersection(5 ^ [], 6 ^ [])], difference(5 ^ [], 6 ^ [])))],extension(18,bind([[_12915, _13029, _12859], [5 ^ [], 1 ^ [empty_set, intersection(5 ^ [], 6 ^ [])], difference(5 ^ [], 6 ^ [])]]))).
% 10.10/10.73 cnf('1.2.1.1.1.1',plain,[-(difference(5 ^ [], 6 ^ []) = 5 ^ []), -(8 ^ [])],extension(2)).
% 10.10/10.73 cnf('1.2.1.1.1.1.1',plain,[8 ^ []],reduction('1')).
% 10.10/10.73 cnf('1.2.1.1.1.2',plain,[member(1 ^ [empty_set, intersection(5 ^ [], 6 ^ [])], difference(5 ^ [], 6 ^ [])), member(1 ^ [empty_set, intersection(5 ^ [], 6 ^ [])], 6 ^ [])],extension(14,bind([[_11426, _11547, _11487], [5 ^ [], 1 ^ [empty_set, intersection(5 ^ [], 6 ^ [])], 6 ^ []]]))).
% 10.10/10.73 cnf('1.2.1.1.1.2.1',plain,[-(member(1 ^ [empty_set, intersection(5 ^ [], 6 ^ [])], 6 ^ [])), member(1 ^ [empty_set, intersection(5 ^ [], 6 ^ [])], intersection(5 ^ [], 6 ^ []))],extension(11,bind([[_11030, _10913, _10972], [1 ^ [empty_set, intersection(5 ^ [], 6 ^ [])], 5 ^ [], 6 ^ []]]))).
% 10.10/10.73 cnf('1.2.1.1.1.2.1.1',plain,[-(member(1 ^ [empty_set, intersection(5 ^ [], 6 ^ [])], intersection(5 ^ [], 6 ^ [])))],reduction('1.2.1')).
% 10.10/10.73 cnf('1.2.1.2',plain,[member(1 ^ [empty_set, intersection(5 ^ [], 6 ^ [])], empty_set)],extension(16,bind([[_11961], [1 ^ [empty_set, intersection(5 ^ [], 6 ^ [])]]]))).
% 10.10/10.73 %-----------------------------------------------------
% 10.10/10.74
% 10.10/10.74 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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