TSTP Solution File: SET615+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET615+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 02:54:47 EDT 2022
% Result : Theorem 0.96s 1.43s
% Output : Proof 1.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET615+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 07:58:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.96/1.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.03/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.03/1.44
% 1.03/1.44 %-----------------------------------------------------
% 1.03/1.44 fof(prove_difference_distributes_over_union, conjecture, ! [_31414, _31417, _31420] : difference(union(_31414, _31417), _31420) = union(difference(_31414, _31420), difference(_31417, _31420)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_difference_distributes_over_union)).
% 1.03/1.44 fof(union_defn, axiom, ! [_31659, _31662, _31665] : (member(_31665, union(_31659, _31662)) <=> member(_31665, _31659) | member(_31665, _31662)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', union_defn)).
% 1.03/1.44 fof(difference_defn, axiom, ! [_31884, _31887, _31890] : (member(_31890, difference(_31884, _31887)) <=> member(_31890, _31884) & ~ member(_31890, _31887)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', difference_defn)).
% 1.03/1.44 fof(commutativity_of_union, axiom, ! [_32119, _32122] : union(_32119, _32122) = union(_32122, _32119), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_of_union)).
% 1.03/1.44 fof(equal_member_defn, axiom, ! [_32271, _32274] : (_32271 = _32274 <=> ! [_32288] : (member(_32288, _32271) <=> member(_32288, _32274))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', equal_member_defn)).
% 1.03/1.44
% 1.03/1.44 cnf(1, plain, [difference(union(3 ^ [], 4 ^ []), 5 ^ []) = union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))], clausify(prove_difference_distributes_over_union)).
% 1.03/1.44 cnf(2, plain, [-(_5763 = _5763)], theory(equality)).
% 1.03/1.44 cnf(3, plain, [_5916 = _5961, -(_5961 = _5916)], theory(equality)).
% 1.03/1.44 cnf(4, plain, [-(member(_6738, _6869)), member(_6671, _6804), _6671 = _6738, _6804 = _6869], theory(equality)).
% 1.03/1.44 cnf(5, plain, [-(member(_9345, union(_9228, _9287))), member(_9345, _9228)], clausify(union_defn)).
% 1.03/1.44 cnf(6, plain, [-(member(_9345, union(_9228, _9287))), member(_9345, _9287)], clausify(union_defn)).
% 1.03/1.44 cnf(7, plain, [member(_9345, union(_9228, _9287)), -(member(_9345, _9228)), -(member(_9345, _9287))], clausify(union_defn)).
% 1.03/1.44 cnf(8, plain, [member(_9862, difference(_9741, _9802)), -(member(_9862, _9741))], clausify(difference_defn)).
% 1.03/1.44 cnf(9, plain, [member(_9862, difference(_9741, _9802)), member(_9862, _9802)], clausify(difference_defn)).
% 1.03/1.44 cnf(10, plain, [-(member(_9862, difference(_9741, _9802))), member(_9862, _9741), -(member(_9862, _9802))], clausify(difference_defn)).
% 1.03/1.44 cnf(11, plain, [-(union(_10672, _10717) = union(_10717, _10672))], clausify(commutativity_of_union)).
% 1.03/1.44 cnf(12, plain, [-(_11607 = _11663), member(2 ^ [_11663, _11607], _11607), member(2 ^ [_11663, _11607], _11663)], clausify(equal_member_defn)).
% 1.03/1.44 cnf(13, plain, [-(_11607 = _11663), -(member(2 ^ [_11663, _11607], _11607)), -(member(2 ^ [_11663, _11607], _11663))], clausify(equal_member_defn)).
% 1.03/1.44
% 1.03/1.44 cnf('1',plain,[difference(union(3 ^ [], 4 ^ []), 5 ^ []) = union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))],start(1)).
% 1.03/1.44 cnf('1.1',plain,[-(difference(union(3 ^ [], 4 ^ []), 5 ^ []) = union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))), member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(union(3 ^ [], 4 ^ []), 5 ^ [])), member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])))],extension(12,bind([[_11607, _11663], [difference(union(3 ^ [], 4 ^ []), 5 ^ []), union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))]]))).
% 1.03/1.44 cnf('1.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(union(3 ^ [], 4 ^ []), 5 ^ []))), member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(3 ^ [], 4 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []))],extension(10,bind([[_9741, _9862, _9802], [union(3 ^ [], 4 ^ []), 2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []]]))).
% 1.03/1.44 cnf('1.1.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(3 ^ [], 4 ^ []))), member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(union(3 ^ [], 4 ^ []), union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])))), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))))],extension(7,bind([[_9228, _9345, _9287], [union(3 ^ [], 4 ^ []), 2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))]]))).
% 1.03/1.44 cnf('1.1.1.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(union(3 ^ [], 4 ^ []), union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))))), member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), union(3 ^ [], 4 ^ []))), 2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])] = 2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), union(3 ^ [], 4 ^ [])) = union(union(3 ^ [], 4 ^ []), union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])))],extension(4,bind([[_6671, _6738, _6804, _6869], [2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), union(3 ^ [], 4 ^ [])), union(union(3 ^ [], 4 ^ []), union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])))]]))).
% 1.03/1.44 cnf('1.1.1.1.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), union(3 ^ [], 4 ^ [])))), member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])))],extension(5,bind([[_9287, _9345, _9228], [union(3 ^ [], 4 ^ []), 2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))]]))).
% 1.03/1.44 cnf('1.1.1.1.1.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])))), -(difference(union(3 ^ [], 4 ^ []), 5 ^ []) = union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(union(3 ^ [], 4 ^ []), 5 ^ [])))],extension(13,bind([[_11663, _11607], [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])]]))).
% 1.03/1.44 cnf('1.1.1.1.1.1.1.1',plain,[difference(union(3 ^ [], 4 ^ []), 5 ^ []) = union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))],extension(1)).
% 1.03/1.44 cnf('1.1.1.1.1.1.1.2',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(union(3 ^ [], 4 ^ []), 5 ^ []))],reduction('1.1')).
% 1.03/1.44 cnf('1.1.1.1.1.2',plain,[-(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])] = 2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])])],extension(2,bind([[_5763], [2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])]]]))).
% 1.03/1.44 cnf('1.1.1.1.1.3',plain,[-(union(union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), union(3 ^ [], 4 ^ [])) = union(union(3 ^ [], 4 ^ []), union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])))), union(union(3 ^ [], 4 ^ []), union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))) = union(union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), union(3 ^ [], 4 ^ []))],extension(3,bind([[_5916, _5961], [union(union(3 ^ [], 4 ^ []), union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))), union(union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), union(3 ^ [], 4 ^ []))]]))).
% 1.03/1.44 cnf('1.1.1.1.1.3.1',plain,[-(union(union(3 ^ [], 4 ^ []), union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))) = union(union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), union(3 ^ [], 4 ^ [])))],extension(11,bind([[_10717, _10672], [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), union(3 ^ [], 4 ^ [])]]))).
% 1.03/1.44 cnf('1.1.1.1.2',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(4 ^ [], 5 ^ [])))],extension(7,bind([[_9228, _9345, _9287], [difference(3 ^ [], 5 ^ []), 2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(4 ^ [], 5 ^ [])]]))).
% 1.03/1.44 cnf('1.1.1.1.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], 5 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ []))],extension(8,bind([[_9802, _9862, _9741], [5 ^ [], 2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ []]]))).
% 1.03/1.44 cnf('1.1.1.1.2.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ []), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(3 ^ [], 4 ^ [])))],extension(5,bind([[_9345, _9228, _9287], [2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [], 4 ^ []]]))).
% 1.03/1.44 cnf('1.1.1.1.2.1.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(3 ^ [], 4 ^ []))],reduction('1.1.1')).
% 1.03/1.44 cnf('1.1.1.1.2.2',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(4 ^ [], 5 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 4 ^ []))],extension(8,bind([[_9802, _9862, _9741], [5 ^ [], 2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 4 ^ []]]))).
% 1.03/1.44 cnf('1.1.1.1.2.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 4 ^ []), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(3 ^ [], 4 ^ [])))],extension(6,bind([[_9345, _9228, _9287], [2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [], 4 ^ []]]))).
% 1.03/1.44 cnf('1.1.1.1.2.2.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(3 ^ [], 4 ^ []))],reduction('1.1.1')).
% 1.03/1.44 cnf('1.1.1.2',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []), member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(union(3 ^ [], 4 ^ []), 5 ^ []))],extension(9,bind([[_9862, _9741, _9802], [2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(3 ^ [], 4 ^ []), 5 ^ []]]))).
% 1.03/1.44 cnf('1.1.1.2.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(union(3 ^ [], 4 ^ []), 5 ^ []))), -(difference(union(3 ^ [], 4 ^ []), 5 ^ []) = union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))))],extension(13,bind([[_11607, _11663], [difference(union(3 ^ [], 4 ^ []), 5 ^ []), union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))]]))).
% 1.03/1.44 cnf('1.1.1.2.1.1',plain,[difference(union(3 ^ [], 4 ^ []), 5 ^ []) = union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))],extension(1)).
% 1.03/1.44 cnf('1.1.1.2.1.2',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(4 ^ [], 5 ^ [])))],extension(7,bind([[_9228, _9345, _9287], [difference(3 ^ [], 5 ^ []), 2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(4 ^ [], 5 ^ [])]]))).
% 1.03/1.44 cnf('1.1.1.2.1.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], 5 ^ [])), member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ [])],extension(9,bind([[_9741, _9862, _9802], [3 ^ [], 2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []]]))).
% 1.03/1.44 cnf('1.1.1.2.1.2.1.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []))],reduction('1.1.1')).
% 1.03/1.44 cnf('1.1.1.2.1.2.2',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(4 ^ [], 5 ^ [])), member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ [])],extension(9,bind([[_9741, _9862, _9802], [4 ^ [], 2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []]]))).
% 1.03/1.44 cnf('1.1.1.2.1.2.2.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []))],reduction('1.1.1')).
% 1.03/1.44 cnf('1.1.2',plain,[-(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])))), -(difference(union(3 ^ [], 4 ^ []), 5 ^ []) = union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(union(3 ^ [], 4 ^ []), 5 ^ [])))],extension(13,bind([[_11663, _11607], [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])]]))).
% 1.03/1.44 cnf('1.1.2.1',plain,[difference(union(3 ^ [], 4 ^ []), 5 ^ []) = union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))],extension(1)).
% 1.03/1.44 cnf('1.1.2.2',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(union(3 ^ [], 4 ^ []), 5 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(3 ^ [], 4 ^ [])))],extension(8,bind([[_9802, _9862, _9741], [5 ^ [], 2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(3 ^ [], 4 ^ [])]]))).
% 1.03/1.44 cnf('1.1.2.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(3 ^ [], 4 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 4 ^ []))],extension(7,bind([[_9228, _9345, _9287], [3 ^ [], 2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 4 ^ []]]))).
% 1.03/1.44 cnf('1.1.2.2.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ []), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []))],extension(10,bind([[_9741, _9862, _9802], [3 ^ [], 2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []]]))).
% 1.03/1.44 cnf('1.1.2.2.1.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], 5 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))))],extension(5,bind([[_9345, _9228, _9287], [2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])]]))).
% 1.03/1.44 cnf('1.1.2.2.1.1.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])))],reduction('1.1')).
% 1.03/1.44 cnf('1.1.2.2.1.1.2',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []), member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(union(3 ^ [], 4 ^ []), 5 ^ []))],extension(9,bind([[_9862, _9741, _9802], [2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(3 ^ [], 4 ^ []), 5 ^ []]]))).
% 1.03/1.44 cnf('1.1.2.2.1.1.2.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(union(3 ^ [], 4 ^ []), 5 ^ [])))],lemmata('1.1')).
% 1.03/1.44 cnf('1.1.2.2.1.2',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 4 ^ []), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(4 ^ [], 5 ^ []))), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []))],extension(10,bind([[_9741, _9862, _9802], [4 ^ [], 2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []]]))).
% 1.03/1.44 cnf('1.1.2.2.1.2.1',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(4 ^ [], 5 ^ [])), -(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ []))))],extension(6,bind([[_9345, _9228, _9287], [2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])]]))).
% 1.03/1.44 cnf('1.1.2.2.1.2.1.1',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])))],reduction('1.1')).
% 1.03/1.44 cnf('1.1.2.2.1.2.2',plain,[member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []), member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(union(3 ^ [], 4 ^ []), 5 ^ []))],extension(9,bind([[_9862, _9741, _9802], [2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], union(3 ^ [], 4 ^ []), 5 ^ []]]))).
% 1.03/1.44 cnf('1.1.2.2.1.2.2.1',plain,[-(member(2 ^ [union(difference(3 ^ [], 5 ^ []), difference(4 ^ [], 5 ^ [])), difference(union(3 ^ [], 4 ^ []), 5 ^ [])], difference(union(3 ^ [], 4 ^ []), 5 ^ [])))],lemmata('1.1')).
% 1.03/1.44 %-----------------------------------------------------
% 1.03/1.44
% 1.03/1.45 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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