TSTP Solution File: SET600+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET600+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n024.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 02:54:34 EDT 2022
% Result : Theorem 0.58s 1.40s
% Output : Proof 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET600+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 9 23:20:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/1.41
% 0.58/1.41 %-----------------------------------------------------
% 0.58/1.41 fof(prove_th59, conjecture, ! [_28147, _28150] : (union(_28147, _28150) = empty_set <=> _28147 = empty_set & _28150 = empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th59)).
% 0.58/1.41 fof(union_defn, axiom, ! [_28420, _28423, _28426] : (member(_28426, union(_28420, _28423)) <=> member(_28426, _28420) | member(_28426, _28423)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', union_defn)).
% 0.58/1.41 fof(empty_set_defn, axiom, ! [_28645] : ~ member(_28645, empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', empty_set_defn)).
% 0.58/1.41 fof(equal_member_defn, axiom, ! [_28769, _28772] : (_28769 = _28772 <=> ! [_28786] : (member(_28786, _28769) <=> member(_28786, _28772))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_member_defn)).
% 0.58/1.41
% 0.58/1.41 cnf(1, plain, [-(7 ^ []), union(4 ^ [], 5 ^ []) = empty_set], clausify(prove_th59)).
% 0.58/1.41 cnf(2, plain, [-(7 ^ []), -(5 ^ [] = empty_set)], clausify(prove_th59)).
% 0.58/1.41 cnf(3, plain, [-(7 ^ []), -(4 ^ [] = empty_set)], clausify(prove_th59)).
% 0.58/1.41 cnf(4, plain, [-(6 ^ []), 4 ^ [] = empty_set, 5 ^ [] = empty_set], clausify(prove_th59)).
% 0.58/1.41 cnf(5, plain, [-(6 ^ []), -(union(4 ^ [], 5 ^ []) = empty_set)], clausify(prove_th59)).
% 0.58/1.41 cnf(6, plain, [7 ^ [], 6 ^ []], clausify(prove_th59)).
% 0.58/1.41 cnf(7, plain, [-(_5751 = _5751)], theory(equality)).
% 0.58/1.41 cnf(8, plain, [_5904 = _5949, -(_5949 = _5904)], theory(equality)).
% 0.58/1.41 cnf(9, plain, [-(member(_7055, _7186)), member(_6988, _7121), _6988 = _7055, _7121 = _7186], theory(equality)).
% 0.58/1.41 cnf(10, plain, [-(member(_9038, union(_8921, _8980))), member(_9038, _8921)], clausify(union_defn)).
% 0.58/1.41 cnf(11, plain, [-(member(_9038, union(_8921, _8980))), member(_9038, _8980)], clausify(union_defn)).
% 0.58/1.41 cnf(12, plain, [member(_9038, union(_8921, _8980)), -(member(_9038, _8921)), -(member(_9038, _8980))], clausify(union_defn)).
% 0.58/1.41 cnf(13, plain, [member(_9434, empty_set)], clausify(empty_set_defn)).
% 0.58/1.41 cnf(14, plain, [_11259 = _11315, member(_11429, _11259), -(member(_11429, _11315))], clausify(equal_member_defn)).
% 0.58/1.41 cnf(15, plain, [-(_11259 = _11315), -(member(3 ^ [_11315, _11259], _11259)), -(member(3 ^ [_11315, _11259], _11315))], clausify(equal_member_defn)).
% 0.58/1.41
% 0.58/1.41 cnf('1',plain,[7 ^ [], 6 ^ []],start(6)).
% 0.58/1.41 cnf('1.1',plain,[-(7 ^ []), union(4 ^ [], 5 ^ []) = empty_set],extension(1)).
% 0.58/1.41 cnf('1.1.1',plain,[-(union(4 ^ [], 5 ^ []) = empty_set), empty_set = union(4 ^ [], 5 ^ [])],extension(8,bind([[_5904, _5949], [empty_set, union(4 ^ [], 5 ^ [])]]))).
% 0.58/1.41 cnf('1.1.1.1',plain,[-(empty_set = union(4 ^ [], 5 ^ [])), -(member(3 ^ [union(4 ^ [], 5 ^ []), empty_set], empty_set)), -(member(3 ^ [union(4 ^ [], 5 ^ []), empty_set], union(4 ^ [], 5 ^ [])))],extension(15,bind([[_11259, _11315], [empty_set, union(4 ^ [], 5 ^ [])]]))).
% 0.58/1.41 cnf('1.1.1.1.1',plain,[member(3 ^ [union(4 ^ [], 5 ^ []), empty_set], empty_set), -(member(3 ^ [union(4 ^ [], 5 ^ []), empty_set], empty_set)), 3 ^ [union(4 ^ [], 5 ^ []), empty_set] = 3 ^ [union(4 ^ [], 5 ^ []), empty_set], empty_set = empty_set],extension(9,bind([[_6988, _7055, _7121, _7186], [3 ^ [union(4 ^ [], 5 ^ []), empty_set], 3 ^ [union(4 ^ [], 5 ^ []), empty_set], empty_set, empty_set]]))).
% 0.58/1.41 cnf('1.1.1.1.1.1',plain,[member(3 ^ [union(4 ^ [], 5 ^ []), empty_set], empty_set)],extension(13,bind([[_9434], [3 ^ [union(4 ^ [], 5 ^ []), empty_set]]]))).
% 0.58/1.41 cnf('1.1.1.1.1.2',plain,[-(3 ^ [union(4 ^ [], 5 ^ []), empty_set] = 3 ^ [union(4 ^ [], 5 ^ []), empty_set])],extension(7,bind([[_5751], [3 ^ [union(4 ^ [], 5 ^ []), empty_set]]]))).
% 0.58/1.41 cnf('1.1.1.1.1.3',plain,[-(empty_set = empty_set)],extension(7,bind([[_5751], [empty_set]]))).
% 0.58/1.41 cnf('1.1.1.1.2',plain,[member(3 ^ [union(4 ^ [], 5 ^ []), empty_set], union(4 ^ [], 5 ^ [])), -(member(3 ^ [union(4 ^ [], 5 ^ []), empty_set], 4 ^ [])), -(member(3 ^ [union(4 ^ [], 5 ^ []), empty_set], 5 ^ []))],extension(12,bind([[_8921, _9038, _8980], [4 ^ [], 3 ^ [union(4 ^ [], 5 ^ []), empty_set], 5 ^ []]]))).
% 0.58/1.41 cnf('1.1.1.1.2.1',plain,[member(3 ^ [union(4 ^ [], 5 ^ []), empty_set], 4 ^ []), 4 ^ [] = empty_set, -(member(3 ^ [union(4 ^ [], 5 ^ []), empty_set], empty_set))],extension(14,bind([[_11259, _11429, _11315], [4 ^ [], 3 ^ [union(4 ^ [], 5 ^ []), empty_set], empty_set]]))).
% 0.58/1.41 cnf('1.1.1.1.2.1.1',plain,[-(4 ^ [] = empty_set), -(7 ^ [])],extension(3)).
% 0.58/1.41 cnf('1.1.1.1.2.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.58/1.41 cnf('1.1.1.1.2.1.2',plain,[member(3 ^ [union(4 ^ [], 5 ^ []), empty_set], empty_set)],extension(13,bind([[_9434], [3 ^ [union(4 ^ [], 5 ^ []), empty_set]]]))).
% 0.58/1.41 cnf('1.1.1.1.2.2',plain,[member(3 ^ [union(4 ^ [], 5 ^ []), empty_set], 5 ^ []), 5 ^ [] = empty_set, -(member(3 ^ [union(4 ^ [], 5 ^ []), empty_set], empty_set))],extension(14,bind([[_11259, _11429, _11315], [5 ^ [], 3 ^ [union(4 ^ [], 5 ^ []), empty_set], empty_set]]))).
% 0.58/1.41 cnf('1.1.1.1.2.2.1',plain,[-(5 ^ [] = empty_set), -(7 ^ [])],extension(2)).
% 0.58/1.41 cnf('1.1.1.1.2.2.1.1',plain,[7 ^ []],reduction('1')).
% 0.58/1.41 cnf('1.1.1.1.2.2.2',plain,[member(3 ^ [union(4 ^ [], 5 ^ []), empty_set], empty_set)],extension(13,bind([[_9434], [3 ^ [union(4 ^ [], 5 ^ []), empty_set]]]))).
% 0.58/1.41 cnf('1.2',plain,[-(6 ^ []), 4 ^ [] = empty_set, 5 ^ [] = empty_set],extension(4)).
% 0.58/1.41 cnf('1.2.1',plain,[-(4 ^ [] = empty_set), empty_set = 4 ^ []],extension(8,bind([[_5904, _5949], [empty_set, 4 ^ []]]))).
% 0.58/1.41 cnf('1.2.1.1',plain,[-(empty_set = 4 ^ []), -(member(3 ^ [4 ^ [], empty_set], empty_set)), -(member(3 ^ [4 ^ [], empty_set], 4 ^ []))],extension(15,bind([[_11259, _11315], [empty_set, 4 ^ []]]))).
% 0.58/1.41 cnf('1.2.1.1.1',plain,[member(3 ^ [4 ^ [], empty_set], empty_set), -(member(3 ^ [4 ^ [], empty_set], empty_set)), 3 ^ [4 ^ [], empty_set] = 3 ^ [4 ^ [], empty_set], empty_set = empty_set],extension(9,bind([[_6988, _7055, _7121, _7186], [3 ^ [4 ^ [], empty_set], 3 ^ [4 ^ [], empty_set], empty_set, empty_set]]))).
% 0.58/1.41 cnf('1.2.1.1.1.1',plain,[member(3 ^ [4 ^ [], empty_set], empty_set)],extension(13,bind([[_9434], [3 ^ [4 ^ [], empty_set]]]))).
% 0.58/1.41 cnf('1.2.1.1.1.2',plain,[-(3 ^ [4 ^ [], empty_set] = 3 ^ [4 ^ [], empty_set])],extension(7,bind([[_5751], [3 ^ [4 ^ [], empty_set]]]))).
% 0.58/1.41 cnf('1.2.1.1.1.3',plain,[-(empty_set = empty_set)],extension(7,bind([[_5751], [empty_set]]))).
% 0.58/1.41 cnf('1.2.1.1.2',plain,[member(3 ^ [4 ^ [], empty_set], 4 ^ []), -(member(3 ^ [4 ^ [], empty_set], union(4 ^ [], 5 ^ [])))],extension(10,bind([[_9038, _8921, _8980], [3 ^ [4 ^ [], empty_set], 4 ^ [], 5 ^ []]]))).
% 0.58/1.41 cnf('1.2.1.1.2.1',plain,[member(3 ^ [4 ^ [], empty_set], union(4 ^ [], 5 ^ [])), union(4 ^ [], 5 ^ []) = empty_set, -(member(3 ^ [4 ^ [], empty_set], empty_set))],extension(14,bind([[_11259, _11429, _11315], [union(4 ^ [], 5 ^ []), 3 ^ [4 ^ [], empty_set], empty_set]]))).
% 0.58/1.41 cnf('1.2.1.1.2.1.1',plain,[-(union(4 ^ [], 5 ^ []) = empty_set), -(6 ^ [])],extension(5)).
% 0.58/1.41 cnf('1.2.1.1.2.1.1.1',plain,[6 ^ []],reduction('1')).
% 0.58/1.41 cnf('1.2.1.1.2.1.2',plain,[member(3 ^ [4 ^ [], empty_set], empty_set)],extension(13,bind([[_9434], [3 ^ [4 ^ [], empty_set]]]))).
% 0.58/1.41 cnf('1.2.2',plain,[-(5 ^ [] = empty_set), empty_set = 5 ^ []],extension(8,bind([[_5904, _5949], [empty_set, 5 ^ []]]))).
% 0.58/1.41 cnf('1.2.2.1',plain,[-(empty_set = 5 ^ []), -(member(3 ^ [5 ^ [], empty_set], empty_set)), -(member(3 ^ [5 ^ [], empty_set], 5 ^ []))],extension(15,bind([[_11259, _11315], [empty_set, 5 ^ []]]))).
% 0.58/1.41 cnf('1.2.2.1.1',plain,[member(3 ^ [5 ^ [], empty_set], empty_set), -(member(3 ^ [5 ^ [], empty_set], empty_set)), 3 ^ [5 ^ [], empty_set] = 3 ^ [5 ^ [], empty_set], empty_set = empty_set],extension(9,bind([[_6988, _7055, _7121, _7186], [3 ^ [5 ^ [], empty_set], 3 ^ [5 ^ [], empty_set], empty_set, empty_set]]))).
% 0.58/1.41 cnf('1.2.2.1.1.1',plain,[member(3 ^ [5 ^ [], empty_set], empty_set)],extension(13,bind([[_9434], [3 ^ [5 ^ [], empty_set]]]))).
% 0.58/1.41 cnf('1.2.2.1.1.2',plain,[-(3 ^ [5 ^ [], empty_set] = 3 ^ [5 ^ [], empty_set])],extension(7,bind([[_5751], [3 ^ [5 ^ [], empty_set]]]))).
% 0.58/1.41 cnf('1.2.2.1.1.3',plain,[-(empty_set = empty_set)],extension(7,bind([[_5751], [empty_set]]))).
% 0.58/1.41 cnf('1.2.2.1.2',plain,[member(3 ^ [5 ^ [], empty_set], 5 ^ []), -(member(3 ^ [5 ^ [], empty_set], union(4 ^ [], 5 ^ [])))],extension(11,bind([[_9038, _8921, _8980], [3 ^ [5 ^ [], empty_set], 4 ^ [], 5 ^ []]]))).
% 0.58/1.41 cnf('1.2.2.1.2.1',plain,[member(3 ^ [5 ^ [], empty_set], union(4 ^ [], 5 ^ [])), union(4 ^ [], 5 ^ []) = empty_set, -(member(3 ^ [5 ^ [], empty_set], empty_set))],extension(14,bind([[_11259, _11429, _11315], [union(4 ^ [], 5 ^ []), 3 ^ [5 ^ [], empty_set], empty_set]]))).
% 0.58/1.41 cnf('1.2.2.1.2.1.1',plain,[-(union(4 ^ [], 5 ^ []) = empty_set), -(6 ^ [])],extension(5)).
% 0.58/1.41 cnf('1.2.2.1.2.1.1.1',plain,[6 ^ []],reduction('1')).
% 0.58/1.41 cnf('1.2.2.1.2.1.2',plain,[member(3 ^ [5 ^ [], empty_set], empty_set)],extension(13,bind([[_9434], [3 ^ [5 ^ [], empty_set]]]))).
% 0.58/1.41 %-----------------------------------------------------
% 0.58/1.42
% 0.58/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------