TSTP Solution File: SET143+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET143+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 02:51:48 EDT 2022
% Result : Theorem 0.55s 1.40s
% Output : Proof 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET143+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 02:14:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.55/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/1.41
% 0.55/1.41 %-----------------------------------------------------
% 0.55/1.41 fof(prove_associativity_of_intersection, conjecture, ! [_30046, _30049, _30052] : intersection(intersection(_30046, _30049), _30052) = intersection(_30046, intersection(_30049, _30052)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_associativity_of_intersection)).
% 0.55/1.41 fof(intersection_defn, axiom, ! [_30263, _30266, _30269] : (member(_30269, intersection(_30263, _30266)) <=> member(_30269, _30263) & member(_30269, _30266)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', intersection_defn)).
% 0.55/1.41 fof(commutativity_of_intersection, axiom, ! [_30491, _30494] : intersection(_30491, _30494) = intersection(_30494, _30491), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity_of_intersection)).
% 0.55/1.41 fof(equal_member_defn, axiom, ! [_30643, _30646] : (_30643 = _30646 <=> ! [_30660] : (member(_30660, _30643) <=> member(_30660, _30646))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', equal_member_defn)).
% 0.55/1.41
% 0.55/1.41 cnf(1, plain, [intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []) = intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))], clausify(prove_associativity_of_intersection)).
% 0.55/1.41 cnf(2, plain, [-(_5208 = _5208)], theory(equality)).
% 0.55/1.41 cnf(3, plain, [-(member(_6183, _6314)), member(_6116, _6249), _6116 = _6183, _6249 = _6314], theory(equality)).
% 0.55/1.41 cnf(4, plain, [member(_8151, intersection(_8034, _8093)), -(member(_8151, _8034))], clausify(intersection_defn)).
% 0.55/1.41 cnf(5, plain, [member(_8151, intersection(_8034, _8093)), -(member(_8151, _8093))], clausify(intersection_defn)).
% 0.55/1.41 cnf(6, plain, [-(member(_8151, intersection(_8034, _8093))), member(_8151, _8034), member(_8151, _8093)], clausify(intersection_defn)).
% 0.55/1.41 cnf(7, plain, [-(intersection(_8943, _8988) = intersection(_8988, _8943))], clausify(commutativity_of_intersection)).
% 0.55/1.41 cnf(8, plain, [-(_9878 = _9934), member(2 ^ [_9934, _9878], _9878), member(2 ^ [_9934, _9878], _9934)], clausify(equal_member_defn)).
% 0.55/1.41 cnf(9, plain, [-(_9878 = _9934), -(member(2 ^ [_9934, _9878], _9878)), -(member(2 ^ [_9934, _9878], _9934))], clausify(equal_member_defn)).
% 0.55/1.41
% 0.55/1.41 cnf('1',plain,[intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []) = intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))],start(1)).
% 0.55/1.41 cnf('1.1',plain,[-(intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []) = intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])))],extension(8,bind([[_9878, _9934], [intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []), intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))]]))).
% 0.55/1.41 cnf('1.1.1',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []))), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], 4 ^ [])), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ [])],extension(6,bind([[_8034, _8151, _8093], [intersection(3 ^ [], 4 ^ []), 2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []]]))).
% 0.55/1.41 cnf('1.1.1.1',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], 4 ^ []))), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ []), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 4 ^ [])],extension(6,bind([[_8034, _8151, _8093], [3 ^ [], 2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 4 ^ []]]))).
% 0.55/1.41 cnf('1.1.1.1.1',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [])), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ []), 2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])] = 2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [] = 3 ^ []],extension(3,bind([[_6116, _6183, _6249, _6314], [2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [], 3 ^ []]]))).
% 0.55/1.41 cnf('1.1.1.1.1.1',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [])), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])))],extension(4,bind([[_8151, _8034, _8093], [2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [], intersection(4 ^ [], 5 ^ [])]]))).
% 0.55/1.41 cnf('1.1.1.1.1.1.1',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])))), -(intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []) = intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))), -(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])))],extension(9,bind([[_9934, _9878], [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])]]))).
% 0.55/1.41 cnf('1.1.1.1.1.1.1.1',plain,[intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []) = intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))],extension(1)).
% 0.55/1.41 cnf('1.1.1.1.1.1.1.2',plain,[member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []))],reduction('1.1')).
% 0.55/1.41 cnf('1.1.1.1.1.2',plain,[-(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])] = 2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])])],extension(2,bind([[_5208], [2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])]]]))).
% 0.55/1.41 cnf('1.1.1.1.1.3',plain,[-(3 ^ [] = 3 ^ [])],extension(2,bind([[_5208], [3 ^ []]]))).
% 0.55/1.41 cnf('1.1.1.1.2',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 4 ^ [])), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(4 ^ [], 5 ^ []))],extension(4,bind([[_8151, _8034, _8093], [2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 4 ^ [], 5 ^ []]]))).
% 0.55/1.41 cnf('1.1.1.1.2.1',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(4 ^ [], 5 ^ []))), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])))],extension(5,bind([[_8151, _8034, _8093], [2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [], intersection(4 ^ [], 5 ^ [])]]))).
% 0.55/1.41 cnf('1.1.1.1.2.1.1',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])))), -(intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []) = intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))), -(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])))],extension(9,bind([[_9934, _9878], [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])]]))).
% 0.55/1.41 cnf('1.1.1.1.2.1.1.1',plain,[intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []) = intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))],extension(1)).
% 0.55/1.41 cnf('1.1.1.1.2.1.1.2',plain,[member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []))],reduction('1.1')).
% 0.55/1.41 cnf('1.1.1.2',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ [])), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(4 ^ [], 5 ^ []))],extension(5,bind([[_8151, _8034, _8093], [2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 4 ^ [], 5 ^ []]]))).
% 0.55/1.41 cnf('1.1.1.2.1',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(4 ^ [], 5 ^ []))), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])))],extension(5,bind([[_8151, _8034, _8093], [2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [], intersection(4 ^ [], 5 ^ [])]]))).
% 0.55/1.41 cnf('1.1.1.2.1.1',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])))), -(intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []) = intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))), -(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])))],extension(9,bind([[_9934, _9878], [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])]]))).
% 0.55/1.41 cnf('1.1.1.2.1.1.1',plain,[intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []) = intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))],extension(1)).
% 0.55/1.41 cnf('1.1.1.2.1.1.2',plain,[member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []))],reduction('1.1')).
% 0.55/1.41 cnf('1.1.2',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])))), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ []), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(4 ^ [], 5 ^ []))],extension(6,bind([[_8034, _8151, _8093], [3 ^ [], 2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(4 ^ [], 5 ^ [])]]))).
% 0.55/1.41 cnf('1.1.2.1',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [])), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ []), 2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])] = 2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [] = 3 ^ []],extension(3,bind([[_6116, _6183, _6249, _6314], [2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [], 3 ^ []]]))).
% 0.55/1.41 cnf('1.1.2.1.1',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [])), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], 4 ^ []))],extension(4,bind([[_8151, _8034, _8093], [2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [], 4 ^ []]]))).
% 0.55/1.41 cnf('1.1.2.1.1.1',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], 4 ^ []))), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []))],extension(4,bind([[_8151, _8034, _8093], [2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], 4 ^ []), 5 ^ []]]))).
% 0.55/1.41 cnf('1.1.2.1.1.1.1',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []))), -(intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []) = intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))), -(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))))],extension(9,bind([[_9878, _9934], [intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []), intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))]]))).
% 0.55/1.41 cnf('1.1.2.1.1.1.1.1',plain,[intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []) = intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))],extension(1)).
% 0.55/1.41 cnf('1.1.2.1.1.1.1.2',plain,[member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])))],reduction('1.1')).
% 0.55/1.41 cnf('1.1.2.1.2',plain,[-(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])] = 2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])])],extension(2,bind([[_5208], [2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])]]]))).
% 0.55/1.41 cnf('1.1.2.1.3',plain,[-(3 ^ [] = 3 ^ [])],extension(2,bind([[_5208], [3 ^ []]]))).
% 0.55/1.41 cnf('1.1.2.2',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(4 ^ [], 5 ^ []))), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 4 ^ []), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ [])],extension(6,bind([[_8034, _8151, _8093], [4 ^ [], 2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ []]]))).
% 0.55/1.41 cnf('1.1.2.2.1',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 4 ^ [])), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], 4 ^ []))],extension(5,bind([[_8151, _8034, _8093], [2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 3 ^ [], 4 ^ []]]))).
% 0.55/1.41 cnf('1.1.2.2.1.1',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], 4 ^ []))), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []))],extension(4,bind([[_8151, _8034, _8093], [2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], 4 ^ []), 5 ^ []]]))).
% 0.55/1.41 cnf('1.1.2.2.1.1.1',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []))), -(intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []) = intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))), -(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))))],extension(9,bind([[_9878, _9934], [intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []), intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))]]))).
% 0.55/1.41 cnf('1.1.2.2.1.1.1.1',plain,[intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []) = intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))],extension(1)).
% 0.55/1.41 cnf('1.1.2.2.1.1.1.2',plain,[member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])))],reduction('1.1')).
% 0.55/1.41 cnf('1.1.2.2.2',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ [])), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(5 ^ [], intersection(3 ^ [], 4 ^ [])))],extension(4,bind([[_8151, _8034, _8093], [2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 5 ^ [], intersection(3 ^ [], 4 ^ [])]]))).
% 0.55/1.41 cnf('1.1.2.2.2.1',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(5 ^ [], intersection(3 ^ [], 4 ^ [])))), member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])), 2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])] = 2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []) = intersection(5 ^ [], intersection(3 ^ [], 4 ^ []))],extension(3,bind([[_6116, _6183, _6249, _6314], [2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], 2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []), intersection(5 ^ [], intersection(3 ^ [], 4 ^ []))]]))).
% 0.55/1.41 cnf('1.1.2.2.2.1.1',plain,[-(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []))), -(intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []) = intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))), -(member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))))],extension(9,bind([[_9878, _9934], [intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []), intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))]]))).
% 0.55/1.41 cnf('1.1.2.2.2.1.1.1',plain,[intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []) = intersection(3 ^ [], intersection(4 ^ [], 5 ^ []))],extension(1)).
% 0.55/1.41 cnf('1.1.2.2.2.1.1.2',plain,[member(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])], intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])))],reduction('1.1')).
% 0.55/1.41 cnf('1.1.2.2.2.1.2',plain,[-(2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])] = 2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])])],extension(2,bind([[_5208], [2 ^ [intersection(3 ^ [], intersection(4 ^ [], 5 ^ [])), intersection(intersection(3 ^ [], 4 ^ []), 5 ^ [])]]]))).
% 0.55/1.41 cnf('1.1.2.2.2.1.3',plain,[-(intersection(intersection(3 ^ [], 4 ^ []), 5 ^ []) = intersection(5 ^ [], intersection(3 ^ [], 4 ^ [])))],extension(7,bind([[_8988, _8943], [5 ^ [], intersection(3 ^ [], 4 ^ [])]]))).
% 0.55/1.41 %-----------------------------------------------------
% 0.55/1.42
% 0.55/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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