TSTP Solution File: SET609+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET609+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n029.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 02:54:42 EDT 2022
% Result : Theorem 3.93s 4.41s
% Output : Proof 3.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET609+3 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.07 % Command : leancop_casc.sh %s %d
% 0.06/0.25 % Computer : n029.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 600
% 0.06/0.25 % DateTime : Sun Jul 10 08:41:31 EDT 2022
% 0.06/0.25 % CPUTime :
% 3.93/4.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.93/4.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.93/4.43
% 3.93/4.43 %-----------------------------------------------------
% 3.93/4.43 fof(prove_th81, conjecture, ! [_42982, _42985, _42988] : difference(_42982, difference(_42985, _42988)) = union(difference(_42982, _42985), intersection(_42982, _42988)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_th81)).
% 3.93/4.43 fof(union_defn, axiom, ! [_43228, _43231, _43234] : (member(_43234, union(_43228, _43231)) <=> member(_43234, _43228) | member(_43234, _43231)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', union_defn)).
% 3.93/4.43 fof(intersection_defn, axiom, ! [_43453, _43456, _43459] : (member(_43459, intersection(_43453, _43456)) <=> member(_43459, _43453) & member(_43459, _43456)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersection_defn)).
% 3.93/4.43 fof(difference_defn, axiom, ! [_43678, _43681, _43684] : (member(_43684, difference(_43678, _43681)) <=> member(_43684, _43678) & ~ member(_43684, _43681)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', difference_defn)).
% 3.93/4.43 fof(equal_member_defn, axiom, ! [_43921, _43924] : (_43921 = _43924 <=> ! [_43938] : (member(_43938, _43921) <=> member(_43938, _43924))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', equal_member_defn)).
% 3.93/4.43
% 3.93/4.43 cnf(1, plain, [difference(3 ^ [], difference(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))], clausify(prove_th81)).
% 3.93/4.43 cnf(2, plain, [-(_6518 = _6518)], theory(equality)).
% 3.93/4.43 cnf(3, plain, [_6671 = _6716, -(_6716 = _6671)], theory(equality)).
% 3.93/4.43 cnf(4, plain, [-(member(_7493, _7624)), member(_7426, _7559), _7426 = _7493, _7559 = _7624], theory(equality)).
% 3.93/4.43 cnf(5, plain, [-(member(_10739, union(_10622, _10681))), member(_10739, _10622)], clausify(union_defn)).
% 3.93/4.43 cnf(6, plain, [-(member(_10739, union(_10622, _10681))), member(_10739, _10681)], clausify(union_defn)).
% 3.93/4.43 cnf(7, plain, [member(_10739, union(_10622, _10681)), -(member(_10739, _10622)), -(member(_10739, _10681))], clausify(union_defn)).
% 3.93/4.43 cnf(8, plain, [member(_11252, intersection(_11135, _11194)), -(member(_11252, _11135))], clausify(intersection_defn)).
% 3.93/4.43 cnf(9, plain, [member(_11252, intersection(_11135, _11194)), -(member(_11252, _11194))], clausify(intersection_defn)).
% 3.93/4.43 cnf(10, plain, [-(member(_11252, intersection(_11135, _11194))), member(_11252, _11135), member(_11252, _11194)], clausify(intersection_defn)).
% 3.93/4.43 cnf(11, plain, [member(_11769, difference(_11648, _11709)), -(member(_11769, _11648))], clausify(difference_defn)).
% 3.93/4.43 cnf(12, plain, [member(_11769, difference(_11648, _11709)), member(_11769, _11709)], clausify(difference_defn)).
% 3.93/4.43 cnf(13, plain, [-(member(_11769, difference(_11648, _11709))), member(_11769, _11648), -(member(_11769, _11709))], clausify(difference_defn)).
% 3.93/4.43 cnf(14, plain, [-(_13824 = _13880), member(2 ^ [_13880, _13824], _13824), member(2 ^ [_13880, _13824], _13880)], clausify(equal_member_defn)).
% 3.93/4.43 cnf(15, plain, [-(_13824 = _13880), -(member(2 ^ [_13880, _13824], _13824)), -(member(2 ^ [_13880, _13824], _13880))], clausify(equal_member_defn)).
% 3.93/4.43
% 3.93/4.43 cnf('1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ []))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ []))],start(12,bind([[_11648, _11769, _11709], [3 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ [])]]))).
% 3.93/4.43 cnf('1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], difference(4 ^ [], 5 ^ [])), union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))))],extension(7,bind([[_10622, _10739, _10681], [difference(3 ^ [], difference(4 ^ [], 5 ^ [])), 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))]]))).
% 3.93/4.43 cnf('1.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], difference(4 ^ [], 5 ^ [])), union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])))],extension(6,bind([[_10622, _10739, _10681], [difference(3 ^ [], difference(4 ^ [], 5 ^ [])), 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))]]))).
% 3.93/4.43 cnf('1.1.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ []))), 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))] = 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))],extension(4,bind([[_7426, _7493, _7559, _7624], [2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])), union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))]]))).
% 3.93/4.43 cnf('1.1.1.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))), 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))] = 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])) = difference(3 ^ [], difference(4 ^ [], 5 ^ []))],extension(4,bind([[_7426, _7493, _7559, _7624], [2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))]]))).
% 3.93/4.43 cnf('1.1.1.1.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ []))), 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))] = 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))],extension(4,bind([[_7426, _7493, _7559, _7624], [2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])), union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))]]))).
% 3.93/4.43 cnf('1.1.1.1.1.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])))), -(difference(3 ^ [], difference(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))))],extension(15,bind([[_13824, _13880], [difference(3 ^ [], difference(4 ^ [], 5 ^ [])), union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))]]))).
% 3.93/4.43 cnf('1.1.1.1.1.1.1.1',plain,[difference(3 ^ [], difference(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))],extension(1)).
% 3.93/4.43 cnf('1.1.1.1.1.1.1.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])))],reduction('1.1.1.1.1')).
% 3.93/4.43 cnf('1.1.1.1.1.1.2',plain,[-(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))] = 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))])],extension(2,bind([[_6518], [2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))]]]))).
% 3.93/4.43 cnf('1.1.1.1.1.1.3',plain,[-(difference(3 ^ [], difference(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))))],extension(15,bind([[_13824, _13880], [difference(3 ^ [], difference(4 ^ [], 5 ^ [])), union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))]]))).
% 3.93/4.43 cnf('1.1.1.1.1.1.3.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])))],reduction('1.1.1.1')).
% 3.93/4.43 cnf('1.1.1.1.1.1.3.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])))],reduction('1.1.1.1.1')).
% 3.93/4.43 cnf('1.1.1.1.1.2',plain,[-(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))] = 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))])],extension(2,bind([[_6518], [2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))]]]))).
% 3.93/4.43 cnf('1.1.1.1.1.3',plain,[-(union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])) = difference(3 ^ [], difference(4 ^ [], 5 ^ []))), difference(3 ^ [], difference(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))],extension(3,bind([[_6671, _6716], [difference(3 ^ [], difference(4 ^ [], 5 ^ [])), union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))]]))).
% 3.93/4.43 cnf('1.1.1.1.1.3.1',plain,[-(difference(3 ^ [], difference(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))))],extension(15,bind([[_13824, _13880], [difference(3 ^ [], difference(4 ^ [], 5 ^ [])), union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))]]))).
% 3.93/4.43 cnf('1.1.1.1.1.3.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])))],reduction('1.1.1.1')).
% 3.93/4.43 cnf('1.1.1.1.1.3.1.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])))],reduction('1.1.1')).
% 3.93/4.43 cnf('1.1.1.1.2',plain,[-(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))] = 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))])],extension(2,bind([[_6518], [2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))]]]))).
% 3.93/4.43 cnf('1.1.1.1.3',plain,[-(difference(3 ^ [], difference(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))))],extension(15,bind([[_13824, _13880], [difference(3 ^ [], difference(4 ^ [], 5 ^ [])), union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))]]))).
% 3.93/4.43 cnf('1.1.1.1.3.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])))],reduction('1')).
% 3.93/4.43 cnf('1.1.1.1.3.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])))],reduction('1.1.1')).
% 3.93/4.43 cnf('1.1.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], intersection(3 ^ [], 5 ^ [])))],extension(7,bind([[_10622, _10739, _10681], [difference(3 ^ [], 4 ^ []), 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], intersection(3 ^ [], 5 ^ [])]]))).
% 3.93/4.43 cnf('1.1.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 3 ^ []))],extension(11,bind([[_11709, _11769, _11648], [4 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 3 ^ []]]))).
% 3.93/4.43 cnf('1.1.2.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 3 ^ []), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ [])))],extension(13,bind([[_11648, _11769, _11709], [3 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ [])]]))).
% 3.93/4.43 cnf('1.1.2.1.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])))],reduction('1')).
% 3.93/4.43 cnf('1.1.2.1.1.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 4 ^ []))],extension(11,bind([[_11709, _11769, _11648], [5 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 4 ^ []]]))).
% 3.93/4.43 cnf('1.1.2.1.1.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 4 ^ []), member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ []))],extension(12,bind([[_11769, _11648, _11709], [2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 3 ^ [], 4 ^ []]]))).
% 3.93/4.43 cnf('1.1.2.1.1.2.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ [])))],reduction('1.1.2')).
% 3.93/4.43 cnf('1.1.2.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], intersection(3 ^ [], 5 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 3 ^ []))],extension(8,bind([[_11194, _11252, _11135], [5 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 3 ^ []]]))).
% 3.93/4.43 cnf('1.1.2.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 3 ^ []), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ [])))],extension(13,bind([[_11648, _11769, _11709], [3 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ [])]]))).
% 3.93/4.43 cnf('1.1.2.2.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])))],reduction('1')).
% 3.93/4.43 cnf('1.1.2.2.1.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ [])), member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 5 ^ [])],extension(12,bind([[_11648, _11769, _11709], [4 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 5 ^ []]]))).
% 3.93/4.43 cnf('1.1.2.2.1.2.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 5 ^ [])), member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], intersection(3 ^ [], 5 ^ []))],extension(9,bind([[_11252, _11135, _11194], [2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 3 ^ [], 5 ^ []]]))).
% 3.93/4.43 cnf('1.1.2.2.1.2.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], intersection(3 ^ [], 5 ^ [])))],reduction('1.1.2')).
% 3.93/4.43 cnf('1.2',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(4 ^ [], 5 ^ []))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 4 ^ []), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 5 ^ []))],extension(13,bind([[_11648, _11769, _11709], [4 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 5 ^ []]]))).
% 3.93/4.43 cnf('1.2.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 4 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ []))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 3 ^ [])],extension(13,bind([[_11709, _11769, _11648], [4 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 3 ^ []]]))).
% 3.93/4.43 cnf('1.2.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))))],extension(5,bind([[_10739, _10622, _10681], [2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])]]))).
% 3.93/4.43 cnf('1.2.1.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))), -(difference(3 ^ [], difference(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])))],extension(14,bind([[_13880, _13824], [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))]]))).
% 3.93/4.43 cnf('1.2.1.1.1.1',plain,[difference(3 ^ [], difference(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))],extension(1)).
% 3.93/4.43 cnf('1.2.1.1.1.2',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ []))))],lemmata('1')).
% 3.93/4.43 cnf('1.2.1.2',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 3 ^ [])), member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(3 ^ [], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))))],extension(7,bind([[_10622, _10739, _10681], [3 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))]]))).
% 3.93/4.43 cnf('1.2.1.2.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(3 ^ [], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])))],extension(6,bind([[_10622, _10739, _10681], [3 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))]]))).
% 3.93/4.43 cnf('1.2.1.2.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])))), -(difference(3 ^ [], difference(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ []))))],extension(15,bind([[_13880, _13824], [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))]]))).
% 3.93/4.43 cnf('1.2.1.2.1.1.1',plain,[difference(3 ^ [], difference(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))],extension(1)).
% 3.93/4.43 cnf('1.2.1.2.1.1.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 3 ^ []))],extension(11,bind([[_11709, _11769, _11648], [difference(4 ^ [], 5 ^ []), 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 3 ^ []]]))).
% 3.93/4.43 cnf('1.2.1.2.1.1.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 3 ^ [])],reduction('1.2.1')).
% 3.93/4.43 cnf('1.2.1.2.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], intersection(3 ^ [], 5 ^ [])))],extension(7,bind([[_10622, _10739, _10681], [difference(3 ^ [], 4 ^ []), 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], intersection(3 ^ [], 5 ^ [])]]))).
% 3.93/4.43 cnf('1.2.1.2.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ []))],lemmata('1.2.1')).
% 3.93/4.43 cnf('1.2.1.2.2.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], intersection(3 ^ [], 5 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))))],extension(6,bind([[_10739, _10622, _10681], [2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])]]))).
% 3.93/4.43 cnf('1.2.1.2.2.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))), -(difference(3 ^ [], difference(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])))],extension(14,bind([[_13880, _13824], [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))]]))).
% 3.93/4.43 cnf('1.2.1.2.2.2.1.1',plain,[difference(3 ^ [], difference(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))],extension(1)).
% 3.93/4.43 cnf('1.2.1.2.2.2.1.2',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ []))))],lemmata('1')).
% 3.93/4.43 cnf('1.2.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 5 ^ []), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], intersection(3 ^ [], 5 ^ []))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 3 ^ [])],extension(10,bind([[_11194, _11252, _11135], [5 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 3 ^ []]]))).
% 3.93/4.43 cnf('1.2.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], intersection(3 ^ [], 5 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))))],extension(6,bind([[_10739, _10622, _10681], [2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])]]))).
% 3.93/4.43 cnf('1.2.2.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))), -(difference(3 ^ [], difference(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))), member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])))],extension(14,bind([[_13880, _13824], [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))]]))).
% 3.93/4.43 cnf('1.2.2.1.1.1',plain,[difference(3 ^ [], difference(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))],extension(1)).
% 3.93/4.43 cnf('1.2.2.1.1.2',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ []))))],lemmata('1')).
% 3.93/4.43 cnf('1.2.2.2',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 3 ^ [])), member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])))],extension(11,bind([[_11769, _11648, _11709], [2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 3 ^ [], difference(4 ^ [], 5 ^ [])]]))).
% 3.93/4.43 cnf('1.2.2.2.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], difference(4 ^ [], 5 ^ [])))), -(difference(3 ^ [], difference(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))))],extension(15,bind([[_13824, _13880], [difference(3 ^ [], difference(4 ^ [], 5 ^ [])), union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))]]))).
% 3.93/4.43 cnf('1.2.2.2.1.1',plain,[difference(3 ^ [], difference(4 ^ [], 5 ^ [])) = union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))],extension(1)).
% 3.93/4.43 cnf('1.2.2.2.1.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], intersection(3 ^ [], 5 ^ [])))],extension(7,bind([[_10622, _10739, _10681], [difference(3 ^ [], 4 ^ []), 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], intersection(3 ^ [], 5 ^ [])]]))).
% 3.93/4.43 cnf('1.2.2.2.1.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], difference(3 ^ [], 4 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 3 ^ []))],extension(11,bind([[_11709, _11769, _11648], [4 ^ [], 2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 3 ^ []]]))).
% 3.93/4.43 cnf('1.2.2.2.1.2.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], 3 ^ [])],reduction('1.2.2')).
% 3.93/4.43 cnf('1.2.2.2.1.2.2',plain,[member(2 ^ [union(difference(3 ^ [], 4 ^ []), intersection(3 ^ [], 5 ^ [])), difference(3 ^ [], difference(4 ^ [], 5 ^ []))], intersection(3 ^ [], 5 ^ []))],lemmata('1.2.2')).
% 3.93/4.43 %-----------------------------------------------------
% 3.93/4.43
% 3.93/4.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------