TSTP Solution File: SET592+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET592+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 0.33s 1.40s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET592+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 09:52:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.33/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.42
% 0.33/1.42 %-----------------------------------------------------
% 0.33/1.42 fof(prove_th51, conjecture, ! [_21325, _21328, _21331] : (subset(_21325, _21328) & subset(_21325, _21331) & intersection(_21328, _21331) = empty_set => _21325 = empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th51)).
% 0.33/1.42 fof(intersection_of_subsets, axiom, ! [_21587, _21590, _21593] : (subset(_21587, _21590) & subset(_21587, _21593) => subset(_21587, intersection(_21590, _21593))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_of_subsets)).
% 0.33/1.42 fof(empty_set_defn, axiom, ! [_21788] : ~ member(_21788, empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', empty_set_defn)).
% 0.33/1.42 fof(subset_defn, axiom, ! [_21907, _21910] : (subset(_21907, _21910) <=> ! [_21928] : (member(_21928, _21907) => member(_21928, _21910))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset_defn)).
% 0.33/1.42 fof(equal_member_defn, axiom, ! [_22118, _22121] : (_22118 = _22121 <=> ! [_22135] : (member(_22135, _22118) <=> member(_22135, _22121))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_member_defn)).
% 0.33/1.42
% 0.33/1.42 cnf(1, plain, [-(subset(4 ^ [], 5 ^ []))], clausify(prove_th51)).
% 0.33/1.42 cnf(2, plain, [-(subset(4 ^ [], 6 ^ []))], clausify(prove_th51)).
% 0.33/1.42 cnf(3, plain, [-(intersection(5 ^ [], 6 ^ []) = empty_set)], clausify(prove_th51)).
% 0.33/1.42 cnf(4, plain, [4 ^ [] = empty_set], clausify(prove_th51)).
% 0.33/1.42 cnf(5, plain, [-(subset(_9979, intersection(_10038, _10096))), subset(_9979, _10038), subset(_9979, _10096)], clausify(intersection_of_subsets)).
% 0.33/1.42 cnf(6, plain, [member(_10492, empty_set)], clausify(empty_set_defn)).
% 0.33/1.42 cnf(7, plain, [subset(_11197, _11253), member(_11367, _11197), -(member(_11367, _11253))], clausify(subset_defn)).
% 0.33/1.42 cnf(8, plain, [_12830 = _12886, member(_13000, _12830), -(member(_13000, _12886))], clausify(equal_member_defn)).
% 0.33/1.42 cnf(9, plain, [-(_12830 = _12886), -(member(3 ^ [_12886, _12830], _12830)), -(member(3 ^ [_12886, _12830], _12886))], clausify(equal_member_defn)).
% 0.33/1.42
% 0.33/1.42 cnf('1',plain,[member(3 ^ [empty_set, 4 ^ []], empty_set)],start(6,bind([[_10492], [3 ^ [empty_set, 4 ^ []]]]))).
% 0.33/1.42 cnf('1.1',plain,[-(member(3 ^ [empty_set, 4 ^ []], empty_set)), intersection(5 ^ [], 6 ^ []) = empty_set, member(3 ^ [empty_set, 4 ^ []], intersection(5 ^ [], 6 ^ []))],extension(8,bind([[_12886, _13000, _12830], [empty_set, 3 ^ [empty_set, 4 ^ []], intersection(5 ^ [], 6 ^ [])]]))).
% 0.33/1.42 cnf('1.1.1',plain,[-(intersection(5 ^ [], 6 ^ []) = empty_set)],extension(3)).
% 0.33/1.42 cnf('1.1.2',plain,[-(member(3 ^ [empty_set, 4 ^ []], intersection(5 ^ [], 6 ^ []))), subset(4 ^ [], intersection(5 ^ [], 6 ^ [])), member(3 ^ [empty_set, 4 ^ []], 4 ^ [])],extension(7,bind([[_11253, _11367, _11197], [intersection(5 ^ [], 6 ^ []), 3 ^ [empty_set, 4 ^ []], 4 ^ []]]))).
% 0.33/1.42 cnf('1.1.2.1',plain,[-(subset(4 ^ [], intersection(5 ^ [], 6 ^ []))), subset(4 ^ [], 5 ^ []), subset(4 ^ [], 6 ^ [])],extension(5,bind([[_10038, _9979, _10096], [5 ^ [], 4 ^ [], 6 ^ []]]))).
% 0.33/1.42 cnf('1.1.2.1.1',plain,[-(subset(4 ^ [], 5 ^ []))],extension(1)).
% 0.33/1.42 cnf('1.1.2.1.2',plain,[-(subset(4 ^ [], 6 ^ []))],extension(2)).
% 0.33/1.42 cnf('1.1.2.2',plain,[-(member(3 ^ [empty_set, 4 ^ []], 4 ^ [])), -(4 ^ [] = empty_set), -(member(3 ^ [empty_set, 4 ^ []], empty_set))],extension(9,bind([[_12830, _12886], [4 ^ [], empty_set]]))).
% 0.33/1.42 cnf('1.1.2.2.1',plain,[4 ^ [] = empty_set],extension(4)).
% 0.33/1.42 cnf('1.1.2.2.2',plain,[member(3 ^ [empty_set, 4 ^ []], empty_set)],extension(6,bind([[_10492], [3 ^ [empty_set, 4 ^ []]]]))).
% 0.33/1.42 %-----------------------------------------------------
% 0.33/1.42
% 0.33/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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