%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET632+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n010.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 02:54:59 EDT 2022
% Result : Theorem 0.33s 1.41s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET632+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n010.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 : Sun Jul 10 13:08:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.33/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.42
% 0.33/1.42 %-----------------------------------------------------
% 0.33/1.42 fof(prove_th114, conjecture, ! [_21749, _21752, _21755] : (subset(_21749, _21752) & subset(_21749, _21755) & disjoint(_21752, _21755) => _21749 = empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th114)).
% 0.33/1.42 fof(subset_defn, axiom, ! [_21999, _22002] : (subset(_21999, _22002) <=> ! [_22020] : (member(_22020, _21999) => member(_22020, _22002))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', subset_defn)).
% 0.33/1.42 fof(intersect_defn, axiom, ! [_22216, _22219] : (intersect(_22216, _22219) <=> ? [_22237] : (member(_22237, _22216) & member(_22237, _22219))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersect_defn)).
% 0.33/1.42 fof(empty_set_defn, axiom, ! [_22433] : ~ member(_22433, empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', empty_set_defn)).
% 0.33/1.42 fof(disjoint_defn, axiom, ! [_22547, _22550] : (disjoint(_22547, _22550) <=> ~ intersect(_22547, _22550)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', disjoint_defn)).
% 0.33/1.42 fof(equal_defn, axiom, ! [_22703, _22706] : (_22703 = _22706 <=> subset(_22703, _22706) & subset(_22706, _22703)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', equal_defn)).
% 0.33/1.42
% 0.33/1.42 cnf(1, plain, [-(subset(4 ^ [], 5 ^ []))], clausify(prove_th114)).
% 0.33/1.42 cnf(2, plain, [-(subset(4 ^ [], 6 ^ []))], clausify(prove_th114)).
% 0.33/1.42 cnf(3, plain, [-(disjoint(5 ^ [], 6 ^ []))], clausify(prove_th114)).
% 0.33/1.42 cnf(4, plain, [4 ^ [] = empty_set], clausify(prove_th114)).
% 0.33/1.42 cnf(5, plain, [-(subset(_9695, _9751)), -(member(1 ^ [_9751, _9695], _9695))], clausify(subset_defn)).
% 0.33/1.42 cnf(6, plain, [subset(_9695, _9751), member(_9865, _9695), -(member(_9865, _9751))], clausify(subset_defn)).
% 0.33/1.42 cnf(7, plain, [intersect(_10156, _10212), -(member(2 ^ [_10212, _10156], _10156))], clausify(intersect_defn)).
% 0.33/1.42 cnf(8, plain, [-(intersect(_10156, _10212)), member(_10327, _10156), member(_10327, _10212)], clausify(intersect_defn)).
% 0.33/1.42 cnf(9, plain, [member(_10618, empty_set)], clausify(empty_set_defn)).
% 0.33/1.42 cnf(10, plain, [disjoint(_10810, _10857), intersect(_10810, _10857)], clausify(disjoint_defn)).
% 0.33/1.42 cnf(11, plain, [-(_11140 = _11191), subset(_11140, _11191), subset(_11191, _11140)], clausify(equal_defn)).
% 0.33/1.42
% 0.33/1.42 cnf('1',plain,[4 ^ [] = empty_set],start(4)).
% 0.33/1.42 cnf('1.1',plain,[-(4 ^ [] = empty_set), subset(4 ^ [], empty_set), subset(empty_set, 4 ^ [])],extension(11,bind([[_11191, _11140], [empty_set, 4 ^ []]]))).
% 0.33/1.42 cnf('1.1.1',plain,[-(subset(4 ^ [], empty_set)), -(member(1 ^ [empty_set, 4 ^ []], 4 ^ []))],extension(5,bind([[_9751, _9695], [empty_set, 4 ^ []]]))).
% 0.33/1.42 cnf('1.1.1.1',plain,[member(1 ^ [empty_set, 4 ^ []], 4 ^ []), subset(4 ^ [], 5 ^ []), -(member(1 ^ [empty_set, 4 ^ []], 5 ^ []))],extension(6,bind([[_9695, _9865, _9751], [4 ^ [], 1 ^ [empty_set, 4 ^ []], 5 ^ []]]))).
% 0.33/1.42 cnf('1.1.1.1.1',plain,[-(subset(4 ^ [], 5 ^ []))],extension(1)).
% 0.33/1.42 cnf('1.1.1.1.2',plain,[member(1 ^ [empty_set, 4 ^ []], 5 ^ []), -(intersect(5 ^ [], 6 ^ [])), member(1 ^ [empty_set, 4 ^ []], 6 ^ [])],extension(8,bind([[_10156, _10327, _10212], [5 ^ [], 1 ^ [empty_set, 4 ^ []], 6 ^ []]]))).
% 0.33/1.42 cnf('1.1.1.1.2.1',plain,[intersect(5 ^ [], 6 ^ []), disjoint(5 ^ [], 6 ^ [])],extension(10,bind([[_10810, _10857], [5 ^ [], 6 ^ []]]))).
% 0.33/1.42 cnf('1.1.1.1.2.1.1',plain,[-(disjoint(5 ^ [], 6 ^ []))],extension(3)).
% 0.33/1.42 cnf('1.1.1.1.2.2',plain,[-(member(1 ^ [empty_set, 4 ^ []], 6 ^ [])), subset(4 ^ [], 6 ^ []), member(1 ^ [empty_set, 4 ^ []], 4 ^ [])],extension(6,bind([[_9751, _9865, _9695], [6 ^ [], 1 ^ [empty_set, 4 ^ []], 4 ^ []]]))).
% 0.33/1.42 cnf('1.1.1.1.2.2.1',plain,[-(subset(4 ^ [], 6 ^ []))],extension(2)).
% 0.33/1.42 cnf('1.1.1.1.2.2.2',plain,[-(member(1 ^ [empty_set, 4 ^ []], 4 ^ []))],reduction('1.1.1')).
% 0.33/1.42 cnf('1.1.2',plain,[-(subset(empty_set, 4 ^ [])), -(member(1 ^ [4 ^ [], empty_set], empty_set))],extension(5,bind([[_9751, _9695], [4 ^ [], empty_set]]))).
% 0.33/1.42 cnf('1.1.2.1',plain,[member(1 ^ [4 ^ [], empty_set], empty_set), -(intersect(empty_set, empty_set)), member(1 ^ [4 ^ [], empty_set], empty_set)],extension(8,bind([[_10156, _10327, _10212], [empty_set, 1 ^ [4 ^ [], empty_set], empty_set]]))).
% 0.33/1.42 cnf('1.1.2.1.1',plain,[intersect(empty_set, empty_set), -(member(2 ^ [empty_set, empty_set], empty_set))],extension(7,bind([[_10212, _10156], [empty_set, empty_set]]))).
% 0.33/1.42 cnf('1.1.2.1.1.1',plain,[member(2 ^ [empty_set, empty_set], empty_set)],extension(9,bind([[_10618], [2 ^ [empty_set, empty_set]]]))).
% 0.33/1.42 cnf('1.1.2.1.2',plain,[-(member(1 ^ [4 ^ [], empty_set], empty_set))],reduction('1.1.2')).
% 0.33/1.42 %-----------------------------------------------------
% 0.33/1.43
% 0.33/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------