TSTP Solution File: SET637+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET637+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 02:55:02 EDT 2022
% Result : Theorem 0.45s 1.42s
% Output : Proof 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET637+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n010.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 23:33:15 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.45/1.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/1.43
% 0.45/1.43 %-----------------------------------------------------
% 0.45/1.43 fof(prove_th119, conjecture, ! [_27197, _27200] : (intersect(_27197, _27200) <=> not_equal(intersection(_27197, _27200), empty_set)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th119)).
% 0.45/1.43 fof(intersection_defn, axiom, ! [_27433, _27436, _27439] : (member(_27439, intersection(_27433, _27436)) <=> member(_27439, _27433) & member(_27439, _27436)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_defn)).
% 0.45/1.43 fof(intersect_defn, axiom, ! [_27658, _27661] : (intersect(_27658, _27661) <=> ? [_27679] : (member(_27679, _27658) & member(_27679, _27661))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersect_defn)).
% 0.45/1.43 fof(empty_set_defn, axiom, ! [_27886] : ~ member(_27886, empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', empty_set_defn)).
% 0.45/1.43 fof(equal_member_defn, axiom, ! [_28000, _28003] : (_28000 = _28003 <=> ! [_28017] : (member(_28017, _28000) <=> member(_28017, _28003))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_member_defn)).
% 0.45/1.43 fof(not_equal_defn, axiom, ! [_28214, _28217] : (not_equal(_28214, _28217) <=> (! _28214) = _28217), file('/export/starexec/sandbox/benchmark/theBenchmark.p', not_equal_defn)).
% 0.45/1.43
% 0.45/1.43 cnf(1, plain, [-(7 ^ []), intersect(4 ^ [], 5 ^ [])], clausify(prove_th119)).
% 0.45/1.43 cnf(2, plain, [-(7 ^ []), -(not_equal(intersection(4 ^ [], 5 ^ []), empty_set))], clausify(prove_th119)).
% 0.45/1.43 cnf(3, plain, [-(6 ^ []), not_equal(intersection(4 ^ [], 5 ^ []), empty_set)], clausify(prove_th119)).
% 0.45/1.43 cnf(4, plain, [-(6 ^ []), -(intersect(4 ^ [], 5 ^ []))], clausify(prove_th119)).
% 0.45/1.43 cnf(5, plain, [6 ^ [], 7 ^ []], clausify(prove_th119)).
% 0.45/1.43 cnf(6, plain, [-(_5834 = _5834)], theory(equality)).
% 0.45/1.43 cnf(7, plain, [-(member(_7762, _7893)), member(_7695, _7828), _7695 = _7762, _7828 = _7893], theory(equality)).
% 0.45/1.43 cnf(8, plain, [member(_9760, intersection(_9643, _9702)), -(member(_9760, _9643))], clausify(intersection_defn)).
% 0.45/1.43 cnf(9, plain, [member(_9760, intersection(_9643, _9702)), -(member(_9760, _9702))], clausify(intersection_defn)).
% 0.45/1.43 cnf(10, plain, [-(member(_9760, intersection(_9643, _9702))), member(_9760, _9643), member(_9760, _9702)], clausify(intersection_defn)).
% 0.45/1.43 cnf(11, plain, [intersect(_10156, _10212), -(member(1 ^ [_10212, _10156], _10156))], clausify(intersect_defn)).
% 0.45/1.43 cnf(12, plain, [intersect(_10156, _10212), -(member(1 ^ [_10212, _10156], _10212))], clausify(intersect_defn)).
% 0.45/1.43 cnf(13, plain, [-(intersect(_10156, _10212)), member(_10327, _10156), member(_10327, _10212)], clausify(intersect_defn)).
% 0.45/1.43 cnf(14, plain, [member(_10618, empty_set)], clausify(empty_set_defn)).
% 0.45/1.43 cnf(15, plain, [_10810 = _10866, member(_10980, _10810), -(member(_10980, _10866))], clausify(equal_member_defn)).
% 0.45/1.43 cnf(16, plain, [-(_10810 = _10866), -(member(2 ^ [_10866, _10810], _10810)), -(member(2 ^ [_10866, _10810], _10866))], clausify(equal_member_defn)).
% 0.45/1.43 cnf(17, plain, [not_equal(_11271, _11318), _11271 = _11318], clausify(not_equal_defn)).
% 0.45/1.43 cnf(18, plain, [-(not_equal(_11271, _11318)), -(_11271 = _11318)], clausify(not_equal_defn)).
% 0.45/1.43
% 0.45/1.43 cnf('1',plain,[not_equal(intersection(4 ^ [], 5 ^ []), empty_set), intersection(4 ^ [], 5 ^ []) = empty_set],start(17,bind([[_11271, _11318], [intersection(4 ^ [], 5 ^ []), empty_set]]))).
% 0.45/1.43 cnf('1.1',plain,[-(not_equal(intersection(4 ^ [], 5 ^ []), empty_set)), -(intersection(4 ^ [], 5 ^ []) = empty_set)],extension(18,bind([[_11271, _11318], [intersection(4 ^ [], 5 ^ []), empty_set]]))).
% 0.45/1.43 cnf('1.1.1',plain,[intersection(4 ^ [], 5 ^ []) = empty_set, member(1 ^ [5 ^ [], 4 ^ []], intersection(4 ^ [], 5 ^ [])), -(member(1 ^ [5 ^ [], 4 ^ []], empty_set))],extension(15,bind([[_10810, _10980, _10866], [intersection(4 ^ [], 5 ^ []), 1 ^ [5 ^ [], 4 ^ []], empty_set]]))).
% 0.45/1.43 cnf('1.1.1.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], intersection(4 ^ [], 5 ^ []))), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []), member(1 ^ [5 ^ [], 4 ^ []], 5 ^ [])],extension(10,bind([[_9643, _9760, _9702], [4 ^ [], 1 ^ [5 ^ [], 4 ^ []], 5 ^ []]]))).
% 0.45/1.43 cnf('1.1.1.1.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])), intersect(4 ^ [], 5 ^ [])],extension(11,bind([[_10156, _10212], [4 ^ [], 5 ^ []]]))).
% 0.45/1.43 cnf('1.1.1.1.1.1',plain,[-(intersect(4 ^ [], 5 ^ [])), -(6 ^ [])],extension(4)).
% 0.45/1.43 cnf('1.1.1.1.1.1.1',plain,[6 ^ [], 7 ^ []],extension(5)).
% 0.45/1.43 cnf('1.1.1.1.1.1.1.1',plain,[-(7 ^ []), -(not_equal(intersection(4 ^ [], 5 ^ []), empty_set))],extension(2)).
% 0.45/1.43 cnf('1.1.1.1.1.1.1.1.1',plain,[not_equal(intersection(4 ^ [], 5 ^ []), empty_set)],reduction('1')).
% 0.45/1.43 cnf('1.1.1.1.2',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 5 ^ [])), intersect(4 ^ [], 5 ^ [])],extension(12,bind([[_10156, _10212], [4 ^ [], 5 ^ []]]))).
% 0.45/1.43 cnf('1.1.1.1.2.1',plain,[-(intersect(4 ^ [], 5 ^ [])), -(6 ^ [])],extension(4)).
% 0.45/1.43 cnf('1.1.1.1.2.1.1',plain,[6 ^ [], 7 ^ []],extension(5)).
% 0.45/1.43 cnf('1.1.1.1.2.1.1.1',plain,[-(7 ^ []), -(not_equal(intersection(4 ^ [], 5 ^ []), empty_set))],extension(2)).
% 0.45/1.43 cnf('1.1.1.1.2.1.1.1.1',plain,[not_equal(intersection(4 ^ [], 5 ^ []), empty_set)],reduction('1')).
% 0.45/1.43 cnf('1.1.1.2',plain,[member(1 ^ [5 ^ [], 4 ^ []], empty_set), -(member(1 ^ [5 ^ [], 4 ^ []], empty_set)), 1 ^ [5 ^ [], 4 ^ []] = 1 ^ [5 ^ [], 4 ^ []], empty_set = empty_set],extension(7,bind([[_7695, _7762, _7828, _7893], [1 ^ [5 ^ [], 4 ^ []], 1 ^ [5 ^ [], 4 ^ []], empty_set, empty_set]]))).
% 0.45/1.43 cnf('1.1.1.2.1',plain,[member(1 ^ [5 ^ [], 4 ^ []], empty_set)],extension(14,bind([[_10618], [1 ^ [5 ^ [], 4 ^ []]]]))).
% 0.45/1.43 cnf('1.1.1.2.2',plain,[-(1 ^ [5 ^ [], 4 ^ []] = 1 ^ [5 ^ [], 4 ^ []])],extension(6,bind([[_5834], [1 ^ [5 ^ [], 4 ^ []]]]))).
% 0.45/1.43 cnf('1.1.1.2.3',plain,[-(empty_set = empty_set)],extension(6,bind([[_5834], [empty_set]]))).
% 0.45/1.43 cnf('1.2',plain,[-(intersection(4 ^ [], 5 ^ []) = empty_set), -(member(2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])], intersection(4 ^ [], 5 ^ []))), -(member(2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])], empty_set))],extension(16,bind([[_10810, _10866], [intersection(4 ^ [], 5 ^ []), empty_set]]))).
% 0.45/1.43 cnf('1.2.1',plain,[member(2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])], intersection(4 ^ [], 5 ^ [])), -(member(2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])], 4 ^ []))],extension(8,bind([[_9702, _9760, _9643], [5 ^ [], 2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])], 4 ^ []]]))).
% 0.45/1.43 cnf('1.2.1.1',plain,[member(2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])], 4 ^ []), -(intersect(4 ^ [], 5 ^ [])), member(2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])], 5 ^ [])],extension(13,bind([[_10156, _10327, _10212], [4 ^ [], 2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])], 5 ^ []]]))).
% 0.45/1.43 cnf('1.2.1.1.1',plain,[intersect(4 ^ [], 5 ^ []), -(7 ^ [])],extension(1)).
% 0.45/1.43 cnf('1.2.1.1.1.1',plain,[7 ^ [], 6 ^ []],extension(5)).
% 0.45/1.43 cnf('1.2.1.1.1.1.1',plain,[-(6 ^ []), not_equal(intersection(4 ^ [], 5 ^ []), empty_set)],extension(3)).
% 0.45/1.43 cnf('1.2.1.1.1.1.1.1',plain,[-(not_equal(intersection(4 ^ [], 5 ^ []), empty_set))],lemmata('1')).
% 0.45/1.43 cnf('1.2.1.1.2',plain,[-(member(2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])], 5 ^ [])), member(2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])], intersection(4 ^ [], 5 ^ []))],extension(9,bind([[_9760, _9643, _9702], [2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])], 4 ^ [], 5 ^ []]]))).
% 0.45/1.43 cnf('1.2.1.1.2.1',plain,[-(member(2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])], intersection(4 ^ [], 5 ^ [])))],reduction('1.2')).
% 0.45/1.43 cnf('1.2.2',plain,[member(2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])], empty_set), -(member(2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])], intersection(empty_set, _18020))), 2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])] = 2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])], empty_set = intersection(empty_set, _18020)],extension(7,bind([[_7695, _7762, _7828, _7893], [2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])], 2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])], empty_set, intersection(empty_set, _18020)]]))).
% 0.45/1.43 cnf('1.2.2.1',plain,[member(2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])], intersection(empty_set, _18020)), -(member(2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])], empty_set))],extension(8,bind([[_9702, _9760, _9643], [_18020, 2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])], empty_set]]))).
% 0.45/1.43 cnf('1.2.2.1.1',plain,[member(2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])], empty_set)],extension(14,bind([[_10618], [2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])]]]))).
% 0.45/1.43 cnf('1.2.2.2',plain,[-(2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])] = 2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])])],extension(6,bind([[_5834], [2 ^ [empty_set, intersection(4 ^ [], 5 ^ [])]]]))).
% 0.45/1.43 cnf('1.2.2.3',plain,[-(empty_set = intersection(empty_set, _18020)), -(member(2 ^ [intersection(empty_set, _18020), empty_set], empty_set)), -(member(2 ^ [intersection(empty_set, _18020), empty_set], intersection(empty_set, _18020)))],extension(16,bind([[_10810, _10866], [empty_set, intersection(empty_set, _18020)]]))).
% 0.45/1.43 cnf('1.2.2.3.1',plain,[member(2 ^ [intersection(empty_set, _18020), empty_set], empty_set)],extension(14,bind([[_10618], [2 ^ [intersection(empty_set, _18020), empty_set]]]))).
% 0.45/1.43 cnf('1.2.2.3.2',plain,[member(2 ^ [intersection(empty_set, _18020), empty_set], intersection(empty_set, _18020)), -(member(2 ^ [intersection(empty_set, _18020), empty_set], empty_set))],extension(8,bind([[_9702, _9760, _9643], [_18020, 2 ^ [intersection(empty_set, _18020), empty_set], empty_set]]))).
% 0.45/1.43 cnf('1.2.2.3.2.1',plain,[member(2 ^ [intersection(empty_set, _18020), empty_set], empty_set)],extension(14,bind([[_10618], [2 ^ [intersection(empty_set, _18020), empty_set]]]))).
% 0.45/1.43 %-----------------------------------------------------
% 0.45/1.43
% 0.45/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------