TSTP Solution File: SET010+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET010+3 : 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 02:49:48 EDT 2022
% Result : Theorem 5.40s 5.53s
% Output : Proof 5.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET010+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 17:04:58 EDT 2022
% 0.13/0.33 % CPUTime :
% 5.40/5.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.40/5.53 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.40/5.54
% 5.40/5.54 %-----------------------------------------------------
% 5.40/5.54 fof(prove_difference_and_intersection_and_union, conjecture, ! [_47688, _47691, _47694] : difference(_47688, intersection(_47691, _47694)) = union(difference(_47688, _47691), difference(_47688, _47694)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_difference_and_intersection_and_union)).
% 5.40/5.54 fof(union_defn, axiom, ! [_47934, _47937, _47940] : (member(_47940, union(_47934, _47937)) <=> member(_47940, _47934) | member(_47940, _47937)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', union_defn)).
% 5.40/5.54 fof(intersection_defn, axiom, ! [_48159, _48162, _48165] : (member(_48165, intersection(_48159, _48162)) <=> member(_48165, _48159) & member(_48165, _48162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', intersection_defn)).
% 5.40/5.54 fof(difference_defn, axiom, ! [_48384, _48387, _48390] : (member(_48390, difference(_48384, _48387)) <=> member(_48390, _48384) & ~ member(_48390, _48387)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', difference_defn)).
% 5.40/5.54 fof(equal_member_defn, axiom, ! [_48630, _48633] : (_48630 = _48633 <=> ! [_48647] : (member(_48647, _48630) <=> member(_48647, _48633))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_member_defn)).
% 5.40/5.54
% 5.40/5.54 cnf(1, plain, [difference(3 ^ [], intersection(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))], clausify(prove_difference_and_intersection_and_union)).
% 5.40/5.54 cnf(2, plain, [-(_7544 = _7544)], theory(equality)).
% 5.40/5.54 cnf(3, plain, [_7697 = _7742, -(_7742 = _7697)], theory(equality)).
% 5.40/5.54 cnf(4, plain, [-(member(_8519, _8650)), member(_8452, _8585), _8452 = _8519, _8585 = _8650], theory(equality)).
% 5.40/5.54 cnf(5, plain, [-(member(_11765, union(_11648, _11707))), member(_11765, _11648)], clausify(union_defn)).
% 5.40/5.54 cnf(6, plain, [-(member(_11765, union(_11648, _11707))), member(_11765, _11707)], clausify(union_defn)).
% 5.40/5.54 cnf(7, plain, [member(_11765, union(_11648, _11707)), -(member(_11765, _11648)), -(member(_11765, _11707))], clausify(union_defn)).
% 5.40/5.54 cnf(8, plain, [member(_12278, intersection(_12161, _12220)), -(member(_12278, _12161))], clausify(intersection_defn)).
% 5.40/5.54 cnf(9, plain, [member(_12278, intersection(_12161, _12220)), -(member(_12278, _12220))], clausify(intersection_defn)).
% 5.40/5.54 cnf(10, plain, [-(member(_12278, intersection(_12161, _12220))), member(_12278, _12161), member(_12278, _12220)], clausify(intersection_defn)).
% 5.40/5.54 cnf(11, plain, [member(_12795, difference(_12674, _12735)), -(member(_12795, _12674))], clausify(difference_defn)).
% 5.40/5.54 cnf(12, plain, [member(_12795, difference(_12674, _12735)), member(_12795, _12735)], clausify(difference_defn)).
% 5.40/5.54 cnf(13, plain, [-(member(_12795, difference(_12674, _12735))), member(_12795, _12674), -(member(_12795, _12735))], clausify(difference_defn)).
% 5.40/5.54 cnf(14, plain, [-(_16097 = _16153), member(2 ^ [_16153, _16097], _16097), member(2 ^ [_16153, _16097], _16153)], clausify(equal_member_defn)).
% 5.40/5.54 cnf(15, plain, [-(_16097 = _16153), -(member(2 ^ [_16153, _16097], _16097)), -(member(2 ^ [_16153, _16097], _16153))], clausify(equal_member_defn)).
% 5.40/5.54
% 5.40/5.54 cnf('1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ []))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ []))],start(12,bind([[_12674, _12795, _12735], [3 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ [])]]))).
% 5.40/5.54 cnf('1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ [])))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], intersection(4 ^ [], 5 ^ [])), union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))))],extension(7,bind([[_11648, _11765, _11707], [difference(3 ^ [], intersection(4 ^ [], 5 ^ [])), 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))]]))).
% 5.40/5.54 cnf('1.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], intersection(4 ^ [], 5 ^ [])), union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])))],extension(6,bind([[_11648, _11765, _11707], [difference(3 ^ [], intersection(4 ^ [], 5 ^ [])), 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))]]))).
% 5.40/5.54 cnf('1.1.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ []))), 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))] = 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))],extension(4,bind([[_8452, _8519, _8585, _8650], [2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ [])), union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))]]))).
% 5.40/5.54 cnf('1.1.1.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ [])))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))), 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))] = 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])) = difference(3 ^ [], intersection(4 ^ [], 5 ^ []))],extension(4,bind([[_8452, _8519, _8585, _8650], [2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))]]))).
% 5.40/5.54 cnf('1.1.1.1.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ []))), 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))] = 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))],extension(4,bind([[_8452, _8519, _8585, _8650], [2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ [])), union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))]]))).
% 5.40/5.54 cnf('1.1.1.1.1.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ [])))), -(difference(3 ^ [], intersection(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))))],extension(15,bind([[_16097, _16153], [difference(3 ^ [], intersection(4 ^ [], 5 ^ [])), union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))]]))).
% 5.40/5.54 cnf('1.1.1.1.1.1.1.1',plain,[difference(3 ^ [], intersection(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))],extension(1)).
% 5.40/5.54 cnf('1.1.1.1.1.1.1.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])))],reduction('1.1.1.1.1')).
% 5.40/5.54 cnf('1.1.1.1.1.1.2',plain,[-(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))] = 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))])],extension(2,bind([[_7544], [2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))]]]))).
% 5.40/5.54 cnf('1.1.1.1.1.1.3',plain,[-(difference(3 ^ [], intersection(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ [])))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))))],extension(15,bind([[_16097, _16153], [difference(3 ^ [], intersection(4 ^ [], 5 ^ [])), union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))]]))).
% 5.40/5.54 cnf('1.1.1.1.1.1.3.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ [])))],reduction('1.1.1.1')).
% 5.40/5.54 cnf('1.1.1.1.1.1.3.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])))],reduction('1.1.1.1.1')).
% 5.40/5.54 cnf('1.1.1.1.1.2',plain,[-(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))] = 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))])],extension(2,bind([[_7544], [2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))]]]))).
% 5.40/5.54 cnf('1.1.1.1.1.3',plain,[-(union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])) = difference(3 ^ [], intersection(4 ^ [], 5 ^ []))), difference(3 ^ [], intersection(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))],extension(3,bind([[_7697, _7742], [difference(3 ^ [], intersection(4 ^ [], 5 ^ [])), union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))]]))).
% 5.40/5.54 cnf('1.1.1.1.1.3.1',plain,[-(difference(3 ^ [], intersection(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ [])))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))))],extension(15,bind([[_16097, _16153], [difference(3 ^ [], intersection(4 ^ [], 5 ^ [])), union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))]]))).
% 5.40/5.54 cnf('1.1.1.1.1.3.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ [])))],reduction('1.1.1.1')).
% 5.40/5.54 cnf('1.1.1.1.1.3.1.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])))],reduction('1.1.1')).
% 5.40/5.54 cnf('1.1.1.1.2',plain,[-(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))] = 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))])],extension(2,bind([[_7544], [2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))]]]))).
% 5.40/5.54 cnf('1.1.1.1.3',plain,[-(difference(3 ^ [], intersection(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ [])))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))))],extension(15,bind([[_16097, _16153], [difference(3 ^ [], intersection(4 ^ [], 5 ^ [])), union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))]]))).
% 5.40/5.54 cnf('1.1.1.1.3.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ [])))],reduction('1')).
% 5.40/5.54 cnf('1.1.1.1.3.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])))],reduction('1.1.1')).
% 5.40/5.54 cnf('1.1.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 5 ^ [])))],extension(7,bind([[_11648, _11765, _11707], [difference(3 ^ [], 4 ^ []), 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 5 ^ [])]]))).
% 5.40/5.54 cnf('1.1.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 3 ^ []))],extension(11,bind([[_12735, _12795, _12674], [4 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 3 ^ []]]))).
% 5.40/5.54 cnf('1.1.2.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 3 ^ []), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ [])))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ [])))],extension(13,bind([[_12674, _12795, _12735], [3 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ [])]]))).
% 5.40/5.54 cnf('1.1.2.1.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ [])))],reduction('1')).
% 5.40/5.54 cnf('1.1.2.1.1.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 4 ^ []))],extension(8,bind([[_12220, _12278, _12161], [5 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 4 ^ []]]))).
% 5.40/5.54 cnf('1.1.2.1.1.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 4 ^ []), member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ []))],extension(12,bind([[_12795, _12674, _12735], [2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 3 ^ [], 4 ^ []]]))).
% 5.40/5.54 cnf('1.1.2.1.1.2.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ [])))],reduction('1.1.2')).
% 5.40/5.54 cnf('1.1.2.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 5 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 3 ^ []))],extension(11,bind([[_12735, _12795, _12674], [5 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 3 ^ []]]))).
% 5.40/5.54 cnf('1.1.2.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 3 ^ []), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ [])))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ [])))],extension(13,bind([[_12674, _12795, _12735], [3 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ [])]]))).
% 5.40/5.54 cnf('1.1.2.2.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ [])))],reduction('1')).
% 5.40/5.54 cnf('1.1.2.2.1.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 5 ^ []))],extension(9,bind([[_12161, _12278, _12220], [4 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 5 ^ []]]))).
% 5.40/5.54 cnf('1.1.2.2.1.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 5 ^ []), member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 5 ^ []))],extension(12,bind([[_12795, _12674, _12735], [2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 3 ^ [], 5 ^ []]]))).
% 5.40/5.54 cnf('1.1.2.2.1.2.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 5 ^ [])))],reduction('1.1.2')).
% 5.40/5.54 cnf('1.2',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], intersection(4 ^ [], 5 ^ []))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 4 ^ []), member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 5 ^ [])],extension(10,bind([[_12161, _12278, _12220], [4 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 5 ^ []]]))).
% 5.40/5.54 cnf('1.2.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 4 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ []))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 3 ^ [])],extension(13,bind([[_12735, _12795, _12674], [4 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 3 ^ []]]))).
% 5.40/5.54 cnf('1.2.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))))],extension(5,bind([[_11765, _11648, _11707], [2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])]]))).
% 5.40/5.54 cnf('1.2.1.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))), -(difference(3 ^ [], intersection(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ [])))],extension(14,bind([[_16153, _16097], [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))]]))).
% 5.40/5.54 cnf('1.2.1.1.1.1',plain,[difference(3 ^ [], intersection(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))],extension(1)).
% 5.40/5.54 cnf('1.2.1.1.1.2',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ []))))],lemmata('1')).
% 5.40/5.54 cnf('1.2.1.2',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 3 ^ [])), member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(3 ^ [], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))))],extension(7,bind([[_11648, _11765, _11707], [3 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))]]))).
% 5.40/5.54 cnf('1.2.1.2.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(3 ^ [], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])))],extension(6,bind([[_11648, _11765, _11707], [3 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))]]))).
% 5.40/5.54 cnf('1.2.1.2.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])))), -(difference(3 ^ [], intersection(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ []))))],extension(15,bind([[_16153, _16097], [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))]]))).
% 5.40/5.54 cnf('1.2.1.2.1.1.1',plain,[difference(3 ^ [], intersection(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))],extension(1)).
% 5.40/5.54 cnf('1.2.1.2.1.1.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 3 ^ []))],extension(11,bind([[_12735, _12795, _12674], [intersection(4 ^ [], 5 ^ []), 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 3 ^ []]]))).
% 5.40/5.54 cnf('1.2.1.2.1.1.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 3 ^ [])],reduction('1.2.1')).
% 5.40/5.54 cnf('1.2.1.2.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 5 ^ [])))],extension(7,bind([[_11648, _11765, _11707], [difference(3 ^ [], 4 ^ []), 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 5 ^ [])]]))).
% 5.40/5.54 cnf('1.2.1.2.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ []))],lemmata('1.2.1')).
% 5.40/5.54 cnf('1.2.1.2.2.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 5 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))))],extension(6,bind([[_11765, _11648, _11707], [2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])]]))).
% 5.40/5.54 cnf('1.2.1.2.2.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))), -(difference(3 ^ [], intersection(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ [])))],extension(14,bind([[_16153, _16097], [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))]]))).
% 5.40/5.54 cnf('1.2.1.2.2.2.1.1',plain,[difference(3 ^ [], intersection(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))],extension(1)).
% 5.40/5.54 cnf('1.2.1.2.2.2.1.2',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ []))))],lemmata('1')).
% 5.40/5.54 cnf('1.2.2',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 5 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 5 ^ []))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 3 ^ [])],extension(13,bind([[_12735, _12795, _12674], [5 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 3 ^ []]]))).
% 5.40/5.54 cnf('1.2.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 5 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))))],extension(6,bind([[_11765, _11648, _11707], [2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])]]))).
% 5.40/5.54 cnf('1.2.2.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))), -(difference(3 ^ [], intersection(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ [])))],extension(14,bind([[_16153, _16097], [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))]]))).
% 5.40/5.54 cnf('1.2.2.1.1.1',plain,[difference(3 ^ [], intersection(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))],extension(1)).
% 5.40/5.54 cnf('1.2.2.1.1.2',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ []))))],lemmata('1')).
% 5.40/5.54 cnf('1.2.2.2',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 3 ^ [])), member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(3 ^ [], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))))],extension(7,bind([[_11648, _11765, _11707], [3 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))]]))).
% 5.40/5.54 cnf('1.2.2.2.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(3 ^ [], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])))],extension(6,bind([[_11648, _11765, _11707], [3 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))]]))).
% 5.40/5.54 cnf('1.2.2.2.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])))), -(difference(3 ^ [], intersection(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ []))))],extension(15,bind([[_16153, _16097], [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))]]))).
% 5.40/5.54 cnf('1.2.2.2.1.1.1',plain,[difference(3 ^ [], intersection(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))],extension(1)).
% 5.40/5.54 cnf('1.2.2.2.1.1.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 3 ^ []))],extension(11,bind([[_12735, _12795, _12674], [intersection(4 ^ [], 5 ^ []), 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 3 ^ []]]))).
% 5.40/5.54 cnf('1.2.2.2.1.1.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], 3 ^ [])],reduction('1.2.2')).
% 5.40/5.54 cnf('1.2.2.2.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 5 ^ [])))],extension(7,bind([[_11648, _11765, _11707], [difference(3 ^ [], 4 ^ []), 2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 5 ^ [])]]))).
% 5.40/5.54 cnf('1.2.2.2.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))))],extension(5,bind([[_11765, _11648, _11707], [2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])]]))).
% 5.40/5.54 cnf('1.2.2.2.2.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))), -(difference(3 ^ [], intersection(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ [])))],extension(14,bind([[_16153, _16097], [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))]]))).
% 5.40/5.54 cnf('1.2.2.2.2.1.1.1',plain,[difference(3 ^ [], intersection(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ []))],extension(1)).
% 5.40/5.54 cnf('1.2.2.2.2.1.1.2',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], intersection(4 ^ [], 5 ^ []))))],lemmata('1')).
% 5.40/5.54 cnf('1.2.2.2.2.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), difference(3 ^ [], 5 ^ [])), difference(3 ^ [], intersection(4 ^ [], 5 ^ []))], difference(3 ^ [], 5 ^ []))],lemmata('1.2.2')).
% 5.40/5.54 %-----------------------------------------------------
% 5.40/5.54
% 5.40/5.54 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------