TSTP Solution File: SET613+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET613+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.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 02:54:45 EDT 2022
% Result : Theorem 3.34s 3.48s
% Output : Proof 3.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET613+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n012.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 03:39:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 3.34/3.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.34/3.49 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.34/3.49
% 3.34/3.49 %-----------------------------------------------------
% 3.34/3.49 fof(prove_difference_union_intersection, conjecture, ! [_37417, _37420] : difference(union(_37417, _37420), intersection(_37417, _37420)) = union(difference(_37417, _37420), difference(_37420, _37417)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_difference_union_intersection)).
% 3.34/3.49 fof(member_equal, axiom, ! [_37635, _37638] : (! [_37646] : (member(_37646, _37635) <=> member(_37646, _37638)) => _37635 = _37638), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', member_equal)).
% 3.34/3.49 fof(union_defn, axiom, ! [_37847, _37850, _37853] : (member(_37853, union(_37847, _37850)) <=> member(_37853, _37847) | member(_37853, _37850)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', union_defn)).
% 3.34/3.49 fof(intersection_defn, axiom, ! [_38072, _38075, _38078] : (member(_38078, intersection(_38072, _38075)) <=> member(_38078, _38072) & member(_38078, _38075)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersection_defn)).
% 3.34/3.49 fof(difference_defn, axiom, ! [_38297, _38300, _38303] : (member(_38303, difference(_38297, _38300)) <=> member(_38303, _38297) & ~ member(_38303, _38300)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', difference_defn)).
% 3.34/3.49
% 3.34/3.49 cnf(1, plain, [difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])) = union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))], clausify(prove_difference_union_intersection)).
% 3.34/3.49 cnf(2, plain, [-(_11015 = _11071), member(1 ^ [_11071, _11015], _11015), member(1 ^ [_11071, _11015], _11071)], clausify(member_equal)).
% 3.34/3.49 cnf(3, plain, [-(_11015 = _11071), -(member(1 ^ [_11071, _11015], _11015)), -(member(1 ^ [_11071, _11015], _11071))], clausify(member_equal)).
% 3.34/3.49 cnf(4, plain, [-(member(_11593, union(_11476, _11535))), member(_11593, _11476)], clausify(union_defn)).
% 3.34/3.49 cnf(5, plain, [-(member(_11593, union(_11476, _11535))), member(_11593, _11535)], clausify(union_defn)).
% 3.34/3.49 cnf(6, plain, [member(_11593, union(_11476, _11535)), -(member(_11593, _11476)), -(member(_11593, _11535))], clausify(union_defn)).
% 3.34/3.49 cnf(7, plain, [member(_12106, intersection(_11989, _12048)), -(member(_12106, _11989))], clausify(intersection_defn)).
% 3.34/3.49 cnf(8, plain, [member(_12106, intersection(_11989, _12048)), -(member(_12106, _12048))], clausify(intersection_defn)).
% 3.34/3.49 cnf(9, plain, [-(member(_12106, intersection(_11989, _12048))), member(_12106, _11989), member(_12106, _12048)], clausify(intersection_defn)).
% 3.34/3.49 cnf(10, plain, [member(_12623, difference(_12502, _12563)), -(member(_12623, _12502))], clausify(difference_defn)).
% 3.34/3.49 cnf(11, plain, [member(_12623, difference(_12502, _12563)), member(_12623, _12563)], clausify(difference_defn)).
% 3.34/3.49 cnf(12, plain, [-(member(_12623, difference(_12502, _12563))), member(_12623, _12502), -(member(_12623, _12563))], clausify(difference_defn)).
% 3.34/3.49
% 3.34/3.49 cnf('1',plain,[difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])) = union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))],start(1)).
% 3.34/3.49 cnf('1.1',plain,[-(difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])) = union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])))), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))))],extension(3,bind([[_11015, _11071], [difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])), union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))]]))).
% 3.34/3.49 cnf('1.1.1',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(4 ^ [], 5 ^ [])))],extension(10,bind([[_12563, _12623, _12502], [intersection(4 ^ [], 5 ^ []), 1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(4 ^ [], 5 ^ [])]]))).
% 3.34/3.49 cnf('1.1.1.1',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(4 ^ [], 5 ^ [])), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 4 ^ [])), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 5 ^ []))],extension(6,bind([[_11476, _11593, _11535], [4 ^ [], 1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 5 ^ []]]))).
% 3.34/3.49 cnf('1.1.1.1.1',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 4 ^ []), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ []))), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 5 ^ []))],extension(12,bind([[_12502, _12623, _12563], [4 ^ [], 1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 5 ^ []]]))).
% 3.34/3.49 cnf('1.1.1.1.1.1',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ [])), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))))],extension(4,bind([[_11593, _11476, _11535], [1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])]]))).
% 3.34/3.49 cnf('1.1.1.1.1.1.1',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))), -(difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])) = union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))), member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])))],extension(2,bind([[_11071, _11015], [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))]]))).
% 3.34/3.49 cnf('1.1.1.1.1.1.1.1',plain,[difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])) = union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))],extension(1)).
% 3.34/3.49 cnf('1.1.1.1.1.1.1.2',plain,[-(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))))],reduction('1.1')).
% 3.34/3.49 cnf('1.1.1.1.1.2',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 5 ^ []), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ []))), member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 4 ^ [])],extension(9,bind([[_12048, _12106, _11989], [5 ^ [], 1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 4 ^ []]]))).
% 3.34/3.49 cnf('1.1.1.1.1.2.1',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ [])), member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])))],extension(11,bind([[_12623, _12502, _12563], [1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])]]))).
% 3.34/3.49 cnf('1.1.1.1.1.2.1.1',plain,[-(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))))],reduction('1.1')).
% 3.34/3.49 cnf('1.1.1.1.1.2.2',plain,[-(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 4 ^ []))],reduction('1.1.1.1')).
% 3.34/3.49 cnf('1.1.1.1.2',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 5 ^ []), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], intersection(5 ^ [], union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))))), member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])))],extension(9,bind([[_11989, _12106, _12048], [5 ^ [], 1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))]]))).
% 3.34/3.49 cnf('1.1.1.1.2.1',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], intersection(5 ^ [], union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])))), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))))],extension(8,bind([[_11989, _12106, _12048], [5 ^ [], 1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))]]))).
% 3.34/3.49 cnf('1.1.1.1.2.1.1',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))), -(difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])) = union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))), member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])))],extension(2,bind([[_11071, _11015], [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))]]))).
% 3.34/3.49 cnf('1.1.1.1.2.1.1.1',plain,[difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])) = union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))],extension(1)).
% 3.34/3.49 cnf('1.1.1.1.2.1.1.2',plain,[-(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))))],reduction('1.1')).
% 3.34/3.49 cnf('1.1.1.1.2.2',plain,[-(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])))), member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(5 ^ [], 4 ^ []))],extension(5,bind([[_11476, _11593, _11535], [difference(4 ^ [], 5 ^ []), 1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(5 ^ [], 4 ^ [])]]))).
% 3.34/3.49 cnf('1.1.1.1.2.2.1',plain,[-(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(5 ^ [], 4 ^ []))), member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 5 ^ []), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 4 ^ []))],extension(12,bind([[_12502, _12623, _12563], [5 ^ [], 1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 4 ^ []]]))).
% 3.34/3.49 cnf('1.1.1.1.2.2.1.1',plain,[-(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 5 ^ []))],reduction('1.1.1.1')).
% 3.34/3.49 cnf('1.1.1.1.2.2.1.2',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 4 ^ [])],lemmata('1.1.1.1')).
% 3.34/3.49 cnf('1.1.2',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ []))), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(5 ^ [], 4 ^ [])))],extension(6,bind([[_11476, _11593, _11535], [difference(4 ^ [], 5 ^ []), 1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(5 ^ [], 4 ^ [])]]))).
% 3.34/3.49 cnf('1.1.2.1',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ [])), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], intersection(difference(4 ^ [], 5 ^ []), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))))), member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])))],extension(9,bind([[_11989, _12106, _12048], [difference(4 ^ [], 5 ^ []), 1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))]]))).
% 3.34/3.49 cnf('1.1.2.1.1',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], intersection(difference(4 ^ [], 5 ^ []), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])))), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))))],extension(8,bind([[_11989, _12106, _12048], [difference(4 ^ [], 5 ^ []), 1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))]]))).
% 3.34/3.49 cnf('1.1.2.1.1.1',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))), -(difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])) = union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))), member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])))],extension(2,bind([[_11015, _11071], [difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])), union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))]]))).
% 3.34/3.49 cnf('1.1.2.1.1.1.1',plain,[difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])) = union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))],extension(1)).
% 3.34/3.49 cnf('1.1.2.1.1.1.2',plain,[-(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))))],reduction('1.1')).
% 3.34/3.49 cnf('1.1.2.1.2',plain,[-(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])))), member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(4 ^ [], 5 ^ [])), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ [])))],extension(12,bind([[_12502, _12623, _12563], [union(4 ^ [], 5 ^ []), 1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ [])]]))).
% 3.34/3.49 cnf('1.1.2.1.2.1',plain,[-(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(4 ^ [], 5 ^ []))), member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 4 ^ [])],extension(4,bind([[_11535, _11593, _11476], [5 ^ [], 1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 4 ^ []]]))).
% 3.34/3.49 cnf('1.1.2.1.2.1.1',plain,[-(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 4 ^ [])), member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ []))],extension(10,bind([[_12623, _12502, _12563], [1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 4 ^ [], 5 ^ []]]))).
% 3.34/3.49 cnf('1.1.2.1.2.1.1.1',plain,[-(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ [])))],reduction('1.1.2')).
% 3.34/3.49 cnf('1.1.2.1.2.2',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ [])), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 5 ^ []))],extension(8,bind([[_11989, _12106, _12048], [4 ^ [], 1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 5 ^ []]]))).
% 3.34/3.49 cnf('1.1.2.1.2.2.1',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 5 ^ []), member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ []))],extension(11,bind([[_12623, _12502, _12563], [1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 4 ^ [], 5 ^ []]]))).
% 3.34/3.49 cnf('1.1.2.1.2.2.1.1',plain,[-(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ [])))],reduction('1.1.2')).
% 3.34/3.49 cnf('1.1.2.2',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(5 ^ [], 4 ^ [])), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], intersection(difference(5 ^ [], 4 ^ []), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))))), member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])))],extension(9,bind([[_11989, _12106, _12048], [difference(5 ^ [], 4 ^ []), 1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))]]))).
% 3.34/3.49 cnf('1.1.2.2.1',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], intersection(difference(5 ^ [], 4 ^ []), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])))), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))))],extension(8,bind([[_11989, _12106, _12048], [difference(5 ^ [], 4 ^ []), 1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))]]))).
% 3.34/3.49 cnf('1.1.2.2.1.1',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))), -(difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])) = union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))), member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])))],extension(2,bind([[_11015, _11071], [difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])), union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))]]))).
% 3.34/3.49 cnf('1.1.2.2.1.1.1',plain,[difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])) = union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))],extension(1)).
% 3.34/3.49 cnf('1.1.2.2.1.1.2',plain,[-(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ []))))],reduction('1.1')).
% 3.34/3.49 cnf('1.1.2.2.2',plain,[-(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])))), member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(4 ^ [], 5 ^ [])), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ [])))],extension(12,bind([[_12502, _12623, _12563], [union(4 ^ [], 5 ^ []), 1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ [])]]))).
% 3.34/3.49 cnf('1.1.2.2.2.1',plain,[-(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], union(4 ^ [], 5 ^ []))), member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 5 ^ [])],extension(5,bind([[_11476, _11593, _11535], [4 ^ [], 1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 5 ^ []]]))).
% 3.34/3.49 cnf('1.1.2.2.2.1.1',plain,[-(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 5 ^ [])), member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(5 ^ [], 4 ^ []))],extension(10,bind([[_12623, _12502, _12563], [1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 5 ^ [], 4 ^ []]]))).
% 3.34/3.49 cnf('1.1.2.2.2.1.1.1',plain,[-(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(5 ^ [], 4 ^ [])))],reduction('1.1.2')).
% 3.34/3.49 cnf('1.1.2.2.2.2',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ [])), -(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 4 ^ []))],extension(7,bind([[_12048, _12106, _11989], [5 ^ [], 1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 4 ^ []]]))).
% 3.34/3.49 cnf('1.1.2.2.2.2.1',plain,[member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 4 ^ []), member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(5 ^ [], 4 ^ []))],extension(11,bind([[_12623, _12502, _12563], [1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], 5 ^ [], 4 ^ []]]))).
% 3.34/3.49 cnf('1.1.2.2.2.2.1.1',plain,[-(member(1 ^ [union(difference(4 ^ [], 5 ^ []), difference(5 ^ [], 4 ^ [])), difference(union(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ []))], difference(5 ^ [], 4 ^ [])))],reduction('1.1.2')).
% 3.34/3.49 %-----------------------------------------------------
% 3.34/3.50
% 3.34/3.50 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------