TSTP Solution File: SET582+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET582+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n013.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 02:54:22 EDT 2022
% Result : Theorem 10.76s 10.75s
% Output : Proof 10.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET582+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 08:18:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 10.76/10.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.76/10.76 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.76/10.76
% 10.76/10.76 %-----------------------------------------------------
% 10.76/10.76 fof(prove_th25, conjecture, ! [_40973, _40976, _40979] : (! [_40987] : (~ member(_40987, _40973) <=> member(_40987, _40976) <=> member(_40987, _40979)) => _40973 = symmetric_difference(_40976, _40979)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th25)).
% 10.76/10.76 fof(member_equal, axiom, ! [_41353, _41356] : (! [_41364] : (member(_41364, _41353) <=> member(_41364, _41356)) => _41353 = _41356), file('/export/starexec/sandbox/benchmark/theBenchmark.p', member_equal)).
% 10.76/10.76 fof(union_defn, axiom, ! [_41565, _41568, _41571] : (member(_41571, union(_41565, _41568)) <=> member(_41571, _41565) | member(_41571, _41568)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', union_defn)).
% 10.76/10.76 fof(difference_defn, axiom, ! [_41790, _41793, _41796] : (member(_41796, difference(_41790, _41793)) <=> member(_41796, _41790) & ~ member(_41796, _41793)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', difference_defn)).
% 10.76/10.76 fof(symmetric_difference_defn, axiom, ! [_42022, _42025] : symmetric_difference(_42022, _42025) = union(difference(_42022, _42025), difference(_42025, _42022)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symmetric_difference_defn)).
% 10.76/10.76
% 10.76/10.76 cnf(1, plain, [-(9 ^ [_18532]), member(_18532, 5 ^ [])], clausify(prove_th25)).
% 10.76/10.76 cnf(2, plain, [-(9 ^ [_18532]), -(member(_18532, 6 ^ []))], clausify(prove_th25)).
% 10.76/10.76 cnf(3, plain, [-(8 ^ [_18532]), member(_18532, 6 ^ [])], clausify(prove_th25)).
% 10.76/10.76 cnf(4, plain, [-(8 ^ [_18532]), -(member(_18532, 5 ^ []))], clausify(prove_th25)).
% 10.76/10.76 cnf(5, plain, [-(7 ^ [_18532]), -(member(_18532, 5 ^ [])), member(_18532, 6 ^ [])], clausify(prove_th25)).
% 10.76/10.76 cnf(6, plain, [-(7 ^ [_18532]), member(_18532, 5 ^ []), -(member(_18532, 6 ^ []))], clausify(prove_th25)).
% 10.76/10.76 cnf(7, plain, [4 ^ [] = symmetric_difference(5 ^ [], 6 ^ [])], clausify(prove_th25)).
% 10.76/10.76 cnf(8, plain, [member(_18532, 4 ^ []), 8 ^ [_18532], 9 ^ [_18532]], clausify(prove_th25)).
% 10.76/10.76 cnf(9, plain, [-(member(_18532, 4 ^ [])), 7 ^ [_18532]], clausify(prove_th25)).
% 10.76/10.76 cnf(10, plain, [_7100 = _7145, -(_7145 = _7100)], theory(equality)).
% 10.76/10.76 cnf(11, plain, [-(_7379 = _7490), _7379 = _7435, _7435 = _7490], theory(equality)).
% 10.76/10.76 cnf(12, plain, [-(_11051 = _11107), member(1 ^ [_11107, _11051], _11051), member(1 ^ [_11107, _11051], _11107)], clausify(member_equal)).
% 10.76/10.76 cnf(13, plain, [-(_11051 = _11107), -(member(1 ^ [_11107, _11051], _11051)), -(member(1 ^ [_11107, _11051], _11107))], clausify(member_equal)).
% 10.76/10.76 cnf(14, plain, [-(member(_11629, union(_11512, _11571))), member(_11629, _11512)], clausify(union_defn)).
% 10.76/10.76 cnf(15, plain, [-(member(_11629, union(_11512, _11571))), member(_11629, _11571)], clausify(union_defn)).
% 10.76/10.76 cnf(16, plain, [member(_11629, union(_11512, _11571)), -(member(_11629, _11512)), -(member(_11629, _11571))], clausify(union_defn)).
% 10.76/10.76 cnf(17, plain, [member(_12146, difference(_12025, _12086)), -(member(_12146, _12025))], clausify(difference_defn)).
% 10.76/10.76 cnf(18, plain, [member(_12146, difference(_12025, _12086)), member(_12146, _12086)], clausify(difference_defn)).
% 10.76/10.76 cnf(19, plain, [-(member(_12146, difference(_12025, _12086))), member(_12146, _12025), -(member(_12146, _12086))], clausify(difference_defn)).
% 10.76/10.76 cnf(20, plain, [-(symmetric_difference(_12560, _12611) = union(difference(_12560, _12611), difference(_12611, _12560)))], clausify(symmetric_difference_defn)).
% 10.76/10.76
% 10.76/10.76 cnf('1',plain,[member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(5 ^ [], 6 ^ [])), member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ [])],start(18,bind([[_12025, _12146, _12086], [5 ^ [], 1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ []]]))).
% 10.76/10.76 cnf('1.1',plain,[-(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(5 ^ [], 6 ^ []))), member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))), -(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ [])))],extension(16,bind([[_11512, _11629, _11571], [difference(5 ^ [], 6 ^ []), 1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ [])]]))).
% 10.76/10.76 cnf('1.1.1',plain,[-(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])))), -(union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])) = 4 ^ []), -(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 4 ^ []))],extension(13,bind([[_11051, _11107], [union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])), 4 ^ []]]))).
% 10.76/10.76 cnf('1.1.1.1',plain,[union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])) = 4 ^ [], -(4 ^ [] = union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])))],extension(10,bind([[_7145, _7100], [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]))).
% 10.76/10.76 cnf('1.1.1.1.1',plain,[4 ^ [] = union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])), -(4 ^ [] = symmetric_difference(5 ^ [], 6 ^ [])), union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])) = symmetric_difference(5 ^ [], 6 ^ [])],extension(11,bind([[_7379, _7435, _7490], [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])), symmetric_difference(5 ^ [], 6 ^ [])]]))).
% 10.76/10.76 cnf('1.1.1.1.1.1',plain,[4 ^ [] = symmetric_difference(5 ^ [], 6 ^ [])],extension(7)).
% 10.76/10.76 cnf('1.1.1.1.1.2',plain,[-(union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])) = symmetric_difference(5 ^ [], 6 ^ [])), symmetric_difference(5 ^ [], 6 ^ []) = union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))],extension(10,bind([[_7100, _7145], [symmetric_difference(5 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]))).
% 10.76/10.76 cnf('1.1.1.1.1.2.1',plain,[-(symmetric_difference(5 ^ [], 6 ^ []) = union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])))],extension(20,bind([[_12611, _12560], [6 ^ [], 5 ^ []]]))).
% 10.76/10.76 cnf('1.1.1.2',plain,[member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 4 ^ []), 8 ^ [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]], 9 ^ [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]],extension(8,bind([[_18532], [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]]))).
% 10.76/10.76 cnf('1.1.1.2.1',plain,[-(8 ^ [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]), member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ [])],extension(3,bind([[_18532], [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]]))).
% 10.76/10.76 cnf('1.1.1.2.1.1',plain,[-(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ [])), -(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(5 ^ [], 6 ^ []))), member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 5 ^ [])],extension(19,bind([[_12086, _12146, _12025], [6 ^ [], 1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 5 ^ []]]))).
% 10.76/10.76 cnf('1.1.1.2.1.1.1',plain,[member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(5 ^ [], 6 ^ []))],reduction('1')).
% 10.76/10.76 cnf('1.1.1.2.1.1.2',plain,[-(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 5 ^ [])), -(8 ^ [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]])],extension(4,bind([[_18532], [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]]))).
% 10.76/10.76 cnf('1.1.1.2.1.1.2.1',plain,[8 ^ [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]],reduction('1.1.1.2')).
% 10.76/10.76 cnf('1.1.1.2.2',plain,[-(9 ^ [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]), member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 5 ^ [])],extension(1,bind([[_18532], [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]]))).
% 10.76/10.76 cnf('1.1.1.2.2.1',plain,[-(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 5 ^ [])), -(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ []))), member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ [])],extension(19,bind([[_12086, _12146, _12025], [5 ^ [], 1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ []]]))).
% 10.76/10.76 cnf('1.1.1.2.2.1.1',plain,[member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ [])), -(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))))],extension(15,bind([[_11629, _11512, _11571], [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])]]))).
% 10.76/10.76 cnf('1.1.1.2.2.1.1.1',plain,[member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])))],reduction('1.1')).
% 10.76/10.76 cnf('1.1.1.2.2.1.2',plain,[-(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ [])), -(9 ^ [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]])],extension(2,bind([[_18532], [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]]))).
% 10.76/10.76 cnf('1.1.1.2.2.1.2.1',plain,[9 ^ [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]],reduction('1.1.1.2')).
% 10.76/10.76 cnf('1.1.2',plain,[member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ [])), -(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))))],extension(15,bind([[_11629, _11512, _11571], [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])]]))).
% 10.76/10.76 cnf('1.1.2.1',plain,[member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))), -(union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])) = 4 ^ []), member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 4 ^ [])],extension(12,bind([[_11051, _11107], [union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])), 4 ^ []]]))).
% 10.76/10.76 cnf('1.1.2.1.1',plain,[union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])) = 4 ^ [], -(symmetric_difference(5 ^ [], 6 ^ []) = 4 ^ []), symmetric_difference(5 ^ [], 6 ^ []) = union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))],extension(11,bind([[_7490, _7379, _7435], [4 ^ [], symmetric_difference(5 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]))).
% 10.76/10.76 cnf('1.1.2.1.1.1',plain,[symmetric_difference(5 ^ [], 6 ^ []) = 4 ^ [], -(4 ^ [] = symmetric_difference(5 ^ [], 6 ^ []))],extension(10,bind([[_7145, _7100], [4 ^ [], symmetric_difference(5 ^ [], 6 ^ [])]]))).
% 10.76/10.76 cnf('1.1.2.1.1.1.1',plain,[4 ^ [] = symmetric_difference(5 ^ [], 6 ^ [])],extension(7)).
% 10.76/10.76 cnf('1.1.2.1.1.2',plain,[-(symmetric_difference(5 ^ [], 6 ^ []) = union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])))],extension(20,bind([[_12611, _12560], [6 ^ [], 5 ^ []]]))).
% 10.76/10.76 cnf('1.1.2.1.2',plain,[-(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 4 ^ [])), 7 ^ [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]],extension(9,bind([[_18532], [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]]))).
% 10.76/10.76 cnf('1.1.2.1.2.1',plain,[-(7 ^ [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]), -(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 5 ^ [])), member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ [])],extension(5,bind([[_18532], [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]]))).
% 10.76/10.76 cnf('1.1.2.1.2.1.1',plain,[member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 5 ^ []), member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ []))],extension(18,bind([[_12146, _12025, _12086], [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ [], 5 ^ []]]))).
% 10.76/10.76 cnf('1.1.2.1.2.1.1.1',plain,[-(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ [])))],reduction('1.1')).
% 10.76/10.76 cnf('1.1.2.1.2.1.2',plain,[-(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ [])), member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ []))],extension(17,bind([[_12146, _12025, _12086], [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ [], 5 ^ []]]))).
% 10.76/10.76 cnf('1.1.2.1.2.1.2.1',plain,[-(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ [])))],reduction('1.1')).
% 10.76/10.76 cnf('1.2',plain,[-(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ [])), -(7 ^ [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]), member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 5 ^ [])],extension(6,bind([[_18532], [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]]))).
% 10.76/10.76 cnf('1.2.1',plain,[7 ^ [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]], -(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 4 ^ []))],extension(9,bind([[_18532], [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]]))).
% 10.76/10.76 cnf('1.2.1.1',plain,[member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 4 ^ []), -(union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])) = 4 ^ []), member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])))],extension(12,bind([[_11107, _11051], [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]))).
% 10.76/10.76 cnf('1.2.1.1.1',plain,[union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])) = 4 ^ [], -(symmetric_difference(5 ^ [], 6 ^ []) = 4 ^ []), symmetric_difference(5 ^ [], 6 ^ []) = union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))],extension(11,bind([[_7490, _7379, _7435], [4 ^ [], symmetric_difference(5 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]))).
% 10.76/10.76 cnf('1.2.1.1.1.1',plain,[symmetric_difference(5 ^ [], 6 ^ []) = 4 ^ [], -(4 ^ [] = symmetric_difference(5 ^ [], 6 ^ []))],extension(10,bind([[_7145, _7100], [4 ^ [], symmetric_difference(5 ^ [], 6 ^ [])]]))).
% 10.76/10.76 cnf('1.2.1.1.1.1.1',plain,[4 ^ [] = symmetric_difference(5 ^ [], 6 ^ [])],extension(7)).
% 10.76/10.76 cnf('1.2.1.1.1.2',plain,[-(symmetric_difference(5 ^ [], 6 ^ []) = union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])))],extension(20,bind([[_12611, _12560], [6 ^ [], 5 ^ []]]))).
% 10.76/10.76 cnf('1.2.1.1.2',plain,[-(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])))), member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(5 ^ [], 6 ^ []))],extension(14,bind([[_11571, _11629, _11512], [difference(6 ^ [], 5 ^ []), 1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(5 ^ [], 6 ^ [])]]))).
% 10.76/10.76 cnf('1.2.1.1.2.1',plain,[-(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(5 ^ [], 6 ^ [])))],lemmata('1')).
% 10.76/10.76 cnf('1.2.2',plain,[-(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 5 ^ [])), -(8 ^ [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]])],extension(4,bind([[_18532], [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]]))).
% 10.76/10.76 cnf('1.2.2.1',plain,[8 ^ [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]], member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 4 ^ []), 9 ^ [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]],extension(8,bind([[_18532], [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]]))).
% 10.76/10.76 cnf('1.2.2.1.1',plain,[-(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 4 ^ [])), -(union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])) = 4 ^ []), -(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))))],extension(13,bind([[_11107, _11051], [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]))).
% 10.76/10.76 cnf('1.2.2.1.1.1',plain,[union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])) = 4 ^ [], -(symmetric_difference(5 ^ [], 6 ^ []) = 4 ^ []), symmetric_difference(5 ^ [], 6 ^ []) = union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))],extension(11,bind([[_7490, _7379, _7435], [4 ^ [], symmetric_difference(5 ^ [], 6 ^ []), union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]))).
% 10.76/10.76 cnf('1.2.2.1.1.1.1',plain,[symmetric_difference(5 ^ [], 6 ^ []) = 4 ^ [], -(4 ^ [] = symmetric_difference(5 ^ [], 6 ^ []))],extension(10,bind([[_7145, _7100], [4 ^ [], symmetric_difference(5 ^ [], 6 ^ [])]]))).
% 10.76/10.76 cnf('1.2.2.1.1.1.1.1',plain,[4 ^ [] = symmetric_difference(5 ^ [], 6 ^ [])],extension(7)).
% 10.76/10.76 cnf('1.2.2.1.1.1.2',plain,[-(symmetric_difference(5 ^ [], 6 ^ []) = union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ [])))],extension(20,bind([[_12611, _12560], [6 ^ [], 5 ^ []]]))).
% 10.76/10.76 cnf('1.2.2.1.1.2',plain,[member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))), -(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(5 ^ [], 6 ^ []))), -(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ [])))],extension(16,bind([[_11512, _11629, _11571], [difference(5 ^ [], 6 ^ []), 1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ [])]]))).
% 10.76/10.76 cnf('1.2.2.1.1.2.1',plain,[member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(5 ^ [], 6 ^ [])), -(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 5 ^ []))],extension(17,bind([[_12086, _12146, _12025], [6 ^ [], 1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 5 ^ []]]))).
% 10.76/10.76 cnf('1.2.2.1.1.2.1.1',plain,[member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 5 ^ [])],reduction('1.2')).
% 10.76/10.76 cnf('1.2.2.1.1.2.2',plain,[member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], difference(6 ^ [], 5 ^ [])), -(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ []))],extension(17,bind([[_12086, _12146, _12025], [5 ^ [], 1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ []]]))).
% 10.76/10.76 cnf('1.2.2.1.1.2.2.1',plain,[member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ [])],reduction('1')).
% 10.76/10.76 cnf('1.2.2.1.2',plain,[-(9 ^ [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]), -(member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ []))],extension(2,bind([[_18532], [1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))]]]))).
% 10.76/10.76 cnf('1.2.2.1.2.1',plain,[member(1 ^ [4 ^ [], union(difference(5 ^ [], 6 ^ []), difference(6 ^ [], 5 ^ []))], 6 ^ [])],reduction('1')).
% 10.76/10.76 %-----------------------------------------------------
% 10.76/10.77
% 10.76/10.77 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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