TSTP Solution File: SET639+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET639+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n022.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 02:55:03 EDT 2022
% Result : Theorem 0.37s 1.41s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET639+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 9 21:08:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.37/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.42
% 0.37/1.42 %-----------------------------------------------------
% 0.37/1.42 fof(prove_th121, conjecture, ! [_21757, _21760] : (subset(_21757, _21760) & intersection(_21760, _21757) = empty_set => _21757 = empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th121)).
% 0.37/1.42 fof(empty_set_defn, axiom, ! [_22013] : ~ member(_22013, empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', empty_set_defn)).
% 0.37/1.42 fof(intersection_defn, axiom, ! [_22129, _22132, _22135] : (member(_22135, intersection(_22129, _22132)) <=> member(_22135, _22129) & member(_22135, _22132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_defn)).
% 0.37/1.42 fof(subset_defn, axiom, ! [_22332, _22335] : (subset(_22332, _22335) <=> ! [_22353] : (member(_22353, _22332) => member(_22353, _22335))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', subset_defn)).
% 0.37/1.42 fof(empty_defn, axiom, ! [_22541] : (empty(_22541) <=> ! [_22556] : ~ member(_22556, _22541)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', empty_defn)).
% 0.37/1.42 fof(equal_member_defn, axiom, ! [_22721, _22724] : (_22721 = _22724 <=> ! [_22738] : (member(_22738, _22721) <=> member(_22738, _22724))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_member_defn)).
% 0.37/1.42
% 0.37/1.42 cnf(1, plain, [-(subset(4 ^ [], 5 ^ []))], clausify(prove_th121)).
% 0.37/1.42 cnf(2, plain, [-(intersection(5 ^ [], 4 ^ []) = empty_set)], clausify(prove_th121)).
% 0.37/1.42 cnf(3, plain, [4 ^ [] = empty_set], clausify(prove_th121)).
% 0.37/1.42 cnf(4, plain, [-(_6082 = _6082)], theory(equality)).
% 0.37/1.42 cnf(5, plain, [_6235 = _6280, -(_6280 = _6235)], theory(equality)).
% 0.37/1.42 cnf(6, plain, [-(_6514 = _6625), _6514 = _6570, _6570 = _6625], theory(equality)).
% 0.37/1.42 cnf(7, plain, [-(member(_7386, _7517)), member(_7319, _7452), _7319 = _7386, _7452 = _7517], theory(equality)).
% 0.37/1.42 cnf(8, plain, [member(_9605, empty_set)], clausify(empty_set_defn)).
% 0.37/1.42 cnf(9, plain, [-(member(_9914, intersection(_9797, _9856))), member(_9914, _9797), member(_9914, _9856)], clausify(intersection_defn)).
% 0.37/1.42 cnf(10, plain, [subset(_10310, _10366), member(_10480, _10310), -(member(_10480, _10366))], clausify(subset_defn)).
% 0.37/1.42 cnf(11, plain, [empty(_11651), member(_11735, _11651)], clausify(empty_defn)).
% 0.37/1.42 cnf(12, plain, [-(empty(_11651)), -(member(2 ^ [_11651], _11651))], clausify(empty_defn)).
% 0.37/1.42 cnf(13, plain, [-(_11943 = _11999), -(member(3 ^ [_11999, _11943], _11943)), -(member(3 ^ [_11999, _11943], _11999))], clausify(equal_member_defn)).
% 0.37/1.42
% 0.37/1.42 cnf('1',plain,[empty(intersection(5 ^ [], 4 ^ [])), member(3 ^ [4 ^ [], intersection(5 ^ [], 4 ^ [])], intersection(5 ^ [], 4 ^ []))],start(11,bind([[_11735, _11651], [3 ^ [4 ^ [], intersection(5 ^ [], 4 ^ [])], intersection(5 ^ [], 4 ^ [])]]))).
% 0.37/1.42 cnf('1.1',plain,[-(empty(intersection(5 ^ [], 4 ^ []))), -(member(2 ^ [intersection(5 ^ [], 4 ^ [])], intersection(5 ^ [], 4 ^ [])))],extension(12,bind([[_11651], [intersection(5 ^ [], 4 ^ [])]]))).
% 0.37/1.42 cnf('1.1.1',plain,[member(2 ^ [intersection(5 ^ [], 4 ^ [])], intersection(5 ^ [], 4 ^ [])), -(member(2 ^ [intersection(5 ^ [], 4 ^ [])], empty_set)), 2 ^ [intersection(5 ^ [], 4 ^ [])] = 2 ^ [intersection(5 ^ [], 4 ^ [])], intersection(5 ^ [], 4 ^ []) = empty_set],extension(7,bind([[_7319, _7386, _7452, _7517], [2 ^ [intersection(5 ^ [], 4 ^ [])], 2 ^ [intersection(5 ^ [], 4 ^ [])], intersection(5 ^ [], 4 ^ []), empty_set]]))).
% 0.37/1.42 cnf('1.1.1.1',plain,[member(2 ^ [intersection(5 ^ [], 4 ^ [])], empty_set)],extension(8,bind([[_9605], [2 ^ [intersection(5 ^ [], 4 ^ [])]]]))).
% 0.37/1.42 cnf('1.1.1.2',plain,[-(2 ^ [intersection(5 ^ [], 4 ^ [])] = 2 ^ [intersection(5 ^ [], 4 ^ [])])],extension(4,bind([[_6082], [2 ^ [intersection(5 ^ [], 4 ^ [])]]]))).
% 0.37/1.42 cnf('1.1.1.3',plain,[-(intersection(5 ^ [], 4 ^ []) = empty_set)],extension(2)).
% 0.37/1.42 cnf('1.2',plain,[-(member(3 ^ [4 ^ [], intersection(5 ^ [], 4 ^ [])], intersection(5 ^ [], 4 ^ []))), -(intersection(5 ^ [], 4 ^ []) = 4 ^ []), -(member(3 ^ [4 ^ [], intersection(5 ^ [], 4 ^ [])], 4 ^ []))],extension(13,bind([[_11943, _11999], [intersection(5 ^ [], 4 ^ []), 4 ^ []]]))).
% 0.37/1.42 cnf('1.2.1',plain,[intersection(5 ^ [], 4 ^ []) = 4 ^ [], -(4 ^ [] = intersection(5 ^ [], 4 ^ []))],extension(5,bind([[_6280, _6235], [4 ^ [], intersection(5 ^ [], 4 ^ [])]]))).
% 0.37/1.42 cnf('1.2.1.1',plain,[4 ^ [] = intersection(5 ^ [], 4 ^ []), -(4 ^ [] = empty_set), intersection(5 ^ [], 4 ^ []) = empty_set],extension(6,bind([[_6514, _6570, _6625], [4 ^ [], intersection(5 ^ [], 4 ^ []), empty_set]]))).
% 0.37/1.42 cnf('1.2.1.1.1',plain,[4 ^ [] = empty_set],extension(3)).
% 0.37/1.42 cnf('1.2.1.1.2',plain,[-(intersection(5 ^ [], 4 ^ []) = empty_set)],extension(2)).
% 0.37/1.42 cnf('1.2.2',plain,[member(3 ^ [4 ^ [], intersection(5 ^ [], 4 ^ [])], 4 ^ []), -(member(3 ^ [4 ^ [], intersection(5 ^ [], 4 ^ [])], intersection(5 ^ [], 4 ^ []))), member(3 ^ [4 ^ [], intersection(5 ^ [], 4 ^ [])], 5 ^ [])],extension(9,bind([[_9856, _9914, _9797], [4 ^ [], 3 ^ [4 ^ [], intersection(5 ^ [], 4 ^ [])], 5 ^ []]]))).
% 0.37/1.42 cnf('1.2.2.1',plain,[member(3 ^ [4 ^ [], intersection(5 ^ [], 4 ^ [])], intersection(5 ^ [], 4 ^ []))],reduction('1')).
% 0.37/1.42 cnf('1.2.2.2',plain,[-(member(3 ^ [4 ^ [], intersection(5 ^ [], 4 ^ [])], 5 ^ [])), subset(4 ^ [], 5 ^ []), member(3 ^ [4 ^ [], intersection(5 ^ [], 4 ^ [])], 4 ^ [])],extension(10,bind([[_10366, _10480, _10310], [5 ^ [], 3 ^ [4 ^ [], intersection(5 ^ [], 4 ^ [])], 4 ^ []]]))).
% 0.37/1.42 cnf('1.2.2.2.1',plain,[-(subset(4 ^ [], 5 ^ []))],extension(1)).
% 0.37/1.42 cnf('1.2.2.2.2',plain,[-(member(3 ^ [4 ^ [], intersection(5 ^ [], 4 ^ [])], 4 ^ []))],reduction('1.2')).
% 0.37/1.42 %-----------------------------------------------------
% 0.37/1.43
% 0.37/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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