TSTP Solution File: SET697+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET697+4 : 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 02:55:27 EDT 2022
% Result : Theorem 72.57s 70.62s
% Output : Proof 72.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET697+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n020.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 : Mon Jul 11 02:30:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 72.57/70.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 72.57/70.62 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 72.57/70.63
% 72.57/70.63 %-----------------------------------------------------
% 72.57/70.63 fof(thI31, conjecture, ! [_41192, _41195, _41198] : (subset(_41192, _41198) & subset(_41195, _41198) => (subset(_41192, _41195) <=> equal_set(intersection(_41192, difference(_41198, _41195)), empty_set))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI31)).
% 72.57/70.63 fof(subset, axiom, ! [_41496, _41499] : (subset(_41496, _41499) <=> ! [_41517] : (member(_41517, _41496) => member(_41517, _41499))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 72.57/70.63 fof(equal_set, axiom, ! [_41724, _41727] : (equal_set(_41724, _41727) <=> subset(_41724, _41727) & subset(_41727, _41724)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', equal_set)).
% 72.57/70.63 fof(intersection, axiom, ! [_41913, _41916, _41919] : (member(_41913, intersection(_41916, _41919)) <=> member(_41913, _41916) & member(_41913, _41919)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', intersection)).
% 72.57/70.63 fof(empty_set, axiom, ! [_42141] : ~ member(_42141, empty_set), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', empty_set)).
% 72.57/70.63 fof(difference, axiom, ! [_42256, _42259, _42262] : (member(_42256, difference(_42262, _42259)) <=> member(_42256, _42262) & ~ member(_42256, _42259)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', difference)).
% 72.57/70.63 fof(unordered_pair, axiom, ! [_42479, _42482, _42485] : (member(_42479, unordered_pair(_42482, _42485)) <=> _42479 = _42482 | _42479 = _42485), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', unordered_pair)).
% 72.57/70.63
% 72.57/70.63 cnf(1, plain, [-(subset(4 ^ [], 6 ^ []))], clausify(thI31)).
% 72.57/70.63 cnf(2, plain, [subset(4 ^ [], 5 ^ []), equal_set(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set)], clausify(thI31)).
% 72.57/70.63 cnf(3, plain, [-(subset(4 ^ [], 5 ^ [])), -(equal_set(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set))], clausify(thI31)).
% 72.57/70.63 cnf(4, plain, [-(_8146 = _8146)], theory(equality)).
% 72.57/70.63 cnf(5, plain, [-(member(_9745, _9876)), member(_9678, _9811), _9678 = _9745, _9811 = _9876], theory(equality)).
% 72.57/70.63 cnf(6, plain, [-(subset(_14904, _14960)), -(member(1 ^ [_14960, _14904], _14904))], clausify(subset)).
% 72.57/70.63 cnf(7, plain, [-(subset(_14904, _14960)), member(1 ^ [_14960, _14904], _14960)], clausify(subset)).
% 72.57/70.63 cnf(8, plain, [subset(_14904, _14960), member(_15074, _14904), -(member(_15074, _14960))], clausify(subset)).
% 72.57/70.63 cnf(9, plain, [equal_set(_15365, _15416), -(subset(_15365, _15416))], clausify(equal_set)).
% 72.57/70.63 cnf(10, plain, [-(equal_set(_15365, _15416)), subset(_15365, _15416), subset(_15416, _15365)], clausify(equal_set)).
% 72.57/70.63 cnf(11, plain, [member(_16091, intersection(_16150, _16208)), -(member(_16091, _16150))], clausify(intersection)).
% 72.57/70.63 cnf(12, plain, [member(_16091, intersection(_16150, _16208)), -(member(_16091, _16208))], clausify(intersection)).
% 72.57/70.63 cnf(13, plain, [-(member(_16091, intersection(_16150, _16208))), member(_16091, _16150), member(_16091, _16208)], clausify(intersection)).
% 72.57/70.63 cnf(14, plain, [member(_17117, empty_set)], clausify(empty_set)).
% 72.57/70.63 cnf(15, plain, [member(_17309, difference(_17430, _17370)), member(_17309, _17370)], clausify(difference)).
% 72.57/70.63 cnf(16, plain, [-(member(_17309, difference(_17430, _17370))), member(_17309, _17430), -(member(_17309, _17370))], clausify(difference)).
% 72.57/70.63 cnf(17, plain, [-(member(_18174, unordered_pair(_18233, _18291))), _18174 = _18291], clausify(unordered_pair)).
% 72.57/70.63 cnf(18, plain, [member(_18174, unordered_pair(_18233, _18291)), -(_18174 = _18233), -(_18174 = _18291)], clausify(unordered_pair)).
% 72.57/70.63
% 72.57/70.63 cnf('1',plain,[subset(4 ^ [], 5 ^ []), equal_set(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set)],start(2)).
% 72.57/70.63 cnf('1.1',plain,[-(subset(4 ^ [], 5 ^ [])), -(equal_set(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set))],extension(3)).
% 72.57/70.63 cnf('1.1.1',plain,[equal_set(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set), -(subset(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set))],extension(9,bind([[_15365, _15416], [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set]]))).
% 72.57/70.63 cnf('1.1.1.1',plain,[subset(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set), member(1 ^ [5 ^ [], 4 ^ []], intersection(4 ^ [], difference(6 ^ [], 5 ^ []))), -(member(1 ^ [5 ^ [], 4 ^ []], empty_set))],extension(8,bind([[_14904, _15074, _14960], [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), 1 ^ [5 ^ [], 4 ^ []], empty_set]]))).
% 72.57/70.63 cnf('1.1.1.1.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], intersection(4 ^ [], difference(6 ^ [], 5 ^ [])))), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []), member(1 ^ [5 ^ [], 4 ^ []], difference(6 ^ [], 5 ^ []))],extension(13,bind([[_16150, _16091, _16208], [4 ^ [], 1 ^ [5 ^ [], 4 ^ []], difference(6 ^ [], 5 ^ [])]]))).
% 72.57/70.63 cnf('1.1.1.1.1.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []), 1 ^ [5 ^ [], 4 ^ []] = 1 ^ [5 ^ [], 4 ^ []], 4 ^ [] = 4 ^ []],extension(5,bind([[_9678, _9745, _9811, _9876], [1 ^ [5 ^ [], 4 ^ []], 1 ^ [5 ^ [], 4 ^ []], 4 ^ [], 4 ^ []]]))).
% 72.57/70.63 cnf('1.1.1.1.1.1.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])), -(subset(4 ^ [], 5 ^ []))],extension(6,bind([[_14904, _14960], [4 ^ [], 5 ^ []]]))).
% 72.57/70.63 cnf('1.1.1.1.1.1.1.1',plain,[subset(4 ^ [], 5 ^ [])],reduction('1')).
% 72.57/70.63 cnf('1.1.1.1.1.1.2',plain,[-(1 ^ [5 ^ [], 4 ^ []] = 1 ^ [5 ^ [], 4 ^ []])],extension(4,bind([[_8146], [1 ^ [5 ^ [], 4 ^ []]]]))).
% 72.57/70.63 cnf('1.1.1.1.1.1.3',plain,[-(4 ^ [] = 4 ^ [])],extension(4,bind([[_8146], [4 ^ []]]))).
% 72.57/70.63 cnf('1.1.1.1.1.2',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], difference(6 ^ [], 5 ^ []))), member(1 ^ [5 ^ [], 4 ^ []], 6 ^ []), -(member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []))],extension(16,bind([[_17430, _17309, _17370], [6 ^ [], 1 ^ [5 ^ [], 4 ^ []], 5 ^ []]]))).
% 72.57/70.63 cnf('1.1.1.1.1.2.1',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 6 ^ [])), subset(4 ^ [], 6 ^ []), member(1 ^ [5 ^ [], 4 ^ []], 4 ^ [])],extension(8,bind([[_14960, _15074, _14904], [6 ^ [], 1 ^ [5 ^ [], 4 ^ []], 4 ^ []]]))).
% 72.57/70.63 cnf('1.1.1.1.1.2.1.1',plain,[-(subset(4 ^ [], 6 ^ []))],extension(1)).
% 72.57/70.63 cnf('1.1.1.1.1.2.1.2',plain,[-(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []))],lemmata('1.1.1.1.1')).
% 72.57/70.63 cnf('1.1.1.1.1.2.2',plain,[member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []), -(subset(4 ^ [], 5 ^ []))],extension(7,bind([[_14904, _14960], [4 ^ [], 5 ^ []]]))).
% 72.57/70.63 cnf('1.1.1.1.1.2.2.1',plain,[subset(4 ^ [], 5 ^ [])],reduction('1')).
% 72.57/70.63 cnf('1.1.1.1.2',plain,[member(1 ^ [5 ^ [], 4 ^ []], empty_set)],extension(14,bind([[_17117], [1 ^ [5 ^ [], 4 ^ []]]]))).
% 72.57/70.63 cnf('1.2',plain,[-(equal_set(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set)), subset(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set), subset(empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ [])))],extension(10,bind([[_15416, _15365], [empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ []))]]))).
% 72.57/70.63 cnf('1.2.1',plain,[-(subset(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set)), -(member(1 ^ [empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], intersection(4 ^ [], difference(6 ^ [], 5 ^ []))))],extension(6,bind([[_14960, _14904], [empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ []))]]))).
% 72.57/70.63 cnf('1.2.1.1',plain,[member(1 ^ [empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], intersection(4 ^ [], difference(6 ^ [], 5 ^ []))), -(member(1 ^ [empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ [])))],extension(12,bind([[_16150, _16091, _16208], [4 ^ [], 1 ^ [empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ [])]]))).
% 72.57/70.63 cnf('1.2.1.1.1',plain,[member(1 ^ [empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ [])), member(1 ^ [empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 5 ^ [])],extension(15,bind([[_17430, _17309, _17370], [6 ^ [], 1 ^ [empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 5 ^ []]]))).
% 72.57/70.63 cnf('1.2.1.1.1.1',plain,[-(member(1 ^ [empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 5 ^ [])), subset(4 ^ [], 5 ^ []), member(1 ^ [empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 4 ^ [])],extension(8,bind([[_14960, _15074, _14904], [5 ^ [], 1 ^ [empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 4 ^ []]]))).
% 72.57/70.63 cnf('1.2.1.1.1.1.1',plain,[-(subset(4 ^ [], 5 ^ [])), -(equal_set(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set))],extension(3)).
% 72.57/70.63 cnf('1.2.1.1.1.1.1.1',plain,[equal_set(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set)],reduction('1')).
% 72.57/70.63 cnf('1.2.1.1.1.1.2',plain,[-(member(1 ^ [empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 4 ^ [])), member(1 ^ [empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], intersection(4 ^ [], difference(6 ^ [], 5 ^ [])))],extension(11,bind([[_16091, _16150, _16208], [1 ^ [empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], 4 ^ [], difference(6 ^ [], 5 ^ [])]]))).
% 72.57/70.63 cnf('1.2.1.1.1.1.2.1',plain,[-(member(1 ^ [empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ []))], intersection(4 ^ [], difference(6 ^ [], 5 ^ []))))],reduction('1.2.1')).
% 72.57/70.63 cnf('1.2.2',plain,[-(subset(empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ [])))), -(member(1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], empty_set))],extension(6,bind([[_14960, _14904], [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set]]))).
% 72.57/70.63 cnf('1.2.2.1',plain,[member(1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], empty_set), -(member(1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], intersection(4 ^ [], difference(6 ^ [], 5 ^ [])))), 1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set] = 1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], empty_set = intersection(4 ^ [], difference(6 ^ [], 5 ^ []))],extension(5,bind([[_9678, _9745, _9811, _9876], [1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], 1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ []))]]))).
% 72.57/70.63 cnf('1.2.2.1.1',plain,[member(1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], intersection(4 ^ [], difference(6 ^ [], 5 ^ []))), -(member(1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], intersection(4 ^ [], difference(6 ^ [], 5 ^ [])))), 1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set] = 1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], intersection(4 ^ [], difference(6 ^ [], 5 ^ [])) = intersection(4 ^ [], difference(6 ^ [], 5 ^ []))],extension(5,bind([[_9678, _9745, _9811, _9876], [1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], 1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))]]))).
% 72.57/70.63 cnf('1.2.2.1.1.1',plain,[member(1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], intersection(4 ^ [], difference(6 ^ [], 5 ^ []))), -(member(1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], intersection(4 ^ [], difference(6 ^ [], 5 ^ [])))), 1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set] = 1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], intersection(4 ^ [], difference(6 ^ [], 5 ^ [])) = intersection(4 ^ [], difference(6 ^ [], 5 ^ []))],extension(5,bind([[_9678, _9745, _9811, _9876], [1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], 1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), intersection(4 ^ [], difference(6 ^ [], 5 ^ []))]]))).
% 72.57/70.63 cnf('1.2.2.1.1.1.1',plain,[member(1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], intersection(4 ^ [], difference(6 ^ [], 5 ^ []))), -(subset(empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ []))))],extension(7,bind([[_14904, _14960], [empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ []))]]))).
% 72.57/70.63 cnf('1.2.2.1.1.1.1.1',plain,[subset(empty_set, intersection(4 ^ [], difference(6 ^ [], 5 ^ [])))],reduction('1.2')).
% 72.57/70.63 cnf('1.2.2.1.1.1.2',plain,[-(1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set] = 1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set])],extension(4,bind([[_8146], [1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set]]]))).
% 72.57/70.63 cnf('1.2.2.1.1.1.3',plain,[-(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])) = intersection(4 ^ [], difference(6 ^ [], 5 ^ [])))],extension(4,bind([[_8146], [intersection(4 ^ [], difference(6 ^ [], 5 ^ []))]]))).
% 72.57/70.63 cnf('1.2.2.1.1.2',plain,[-(1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set] = 1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set])],extension(4,bind([[_8146], [1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set]]]))).
% 72.57/70.63 cnf('1.2.2.1.1.3',plain,[-(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])) = intersection(4 ^ [], difference(6 ^ [], 5 ^ [])))],extension(4,bind([[_8146], [intersection(4 ^ [], difference(6 ^ [], 5 ^ []))]]))).
% 72.57/70.63 cnf('1.2.2.1.2',plain,[-(1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set] = 1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set])],extension(4,bind([[_8146], [1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set]]]))).
% 72.57/70.63 cnf('1.2.2.1.3',plain,[-(empty_set = intersection(4 ^ [], difference(6 ^ [], 5 ^ []))), member(empty_set, unordered_pair(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set)), -(empty_set = empty_set)],extension(18,bind([[_18233, _18174, _18291], [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set, empty_set]]))).
% 72.57/70.63 cnf('1.2.2.1.3.1',plain,[-(member(empty_set, unordered_pair(intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set))), empty_set = empty_set],extension(17,bind([[_18233, _18174, _18291], [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set, empty_set]]))).
% 72.57/70.63 cnf('1.2.2.1.3.1.1',plain,[-(empty_set = empty_set)],extension(4,bind([[_8146], [empty_set]]))).
% 72.57/70.63 cnf('1.2.2.1.3.2',plain,[empty_set = empty_set, -(member(1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], empty_set)), member(1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], empty_set), 1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set] = 1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set]],extension(5,bind([[_9876, _9811, _9678, _9745], [empty_set, empty_set, 1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], 1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set]]]))).
% 72.57/70.63 cnf('1.2.2.1.3.2.1',plain,[member(1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], empty_set)],extension(14,bind([[_17117], [1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set]]]))).
% 72.57/70.63 cnf('1.2.2.1.3.2.2',plain,[-(member(1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set], empty_set))],reduction('1.2.2')).
% 72.57/70.63 cnf('1.2.2.1.3.2.3',plain,[-(1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set] = 1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set])],extension(4,bind([[_8146], [1 ^ [intersection(4 ^ [], difference(6 ^ [], 5 ^ [])), empty_set]]]))).
% 72.57/70.63 %-----------------------------------------------------
% 72.57/70.63
% 72.57/70.64 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------