TSTP Solution File: SET580+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET580+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n008.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 02:54:21 EDT 2022
% Result : Theorem 29.78s 29.44s
% Output : Proof 29.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET580+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 02:11:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 29.78/29.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.78/29.44 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.78/29.45
% 29.78/29.45 %-----------------------------------------------------
% 29.78/29.45 fof(prove_th23, conjecture, ! [_27227, _27230, _27233] : (member(_27227, symmetric_difference(_27230, _27233)) <=> ~ (member(_27227, _27230) <=> member(_27227, _27233))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_th23)).
% 29.78/29.45 fof(equal_member_defn, axiom, ! [_27527, _27530] : (_27527 = _27530 <=> ! [_27544] : (member(_27544, _27527) <=> member(_27544, _27530))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_member_defn)).
% 29.78/29.45 fof(difference_defn, axiom, ! [_27739, _27742, _27745] : (member(_27745, difference(_27739, _27742)) <=> member(_27745, _27739) & ~ member(_27745, _27742)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', difference_defn)).
% 29.78/29.45 fof(union_defn, axiom, ! [_27959, _27962, _27965] : (member(_27965, union(_27959, _27962)) <=> member(_27965, _27959) | member(_27965, _27962)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', union_defn)).
% 29.78/29.45 fof(symmetric_difference_defn, axiom, ! [_28231, _28234] : symmetric_difference(_28231, _28234) = union(difference(_28231, _28234), difference(_28234, _28231)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', symmetric_difference_defn)).
% 29.78/29.45
% 29.78/29.45 cnf(1, plain, [-(12 ^ []), member(7 ^ [], 8 ^ [])], clausify(prove_th23)).
% 29.78/29.45 cnf(2, plain, [-(12 ^ []), -(member(7 ^ [], 9 ^ []))], clausify(prove_th23)).
% 29.78/29.45 cnf(3, plain, [-(11 ^ []), member(7 ^ [], 9 ^ [])], clausify(prove_th23)).
% 29.78/29.45 cnf(4, plain, [-(11 ^ []), -(member(7 ^ [], 8 ^ []))], clausify(prove_th23)).
% 29.78/29.45 cnf(5, plain, [-(13 ^ []), 11 ^ [], 12 ^ []], clausify(prove_th23)).
% 29.78/29.45 cnf(6, plain, [-(13 ^ []), member(7 ^ [], symmetric_difference(8 ^ [], 9 ^ []))], clausify(prove_th23)).
% 29.78/29.45 cnf(7, plain, [-(10 ^ []), -(member(7 ^ [], 8 ^ [])), member(7 ^ [], 9 ^ [])], clausify(prove_th23)).
% 29.78/29.45 cnf(8, plain, [-(10 ^ []), member(7 ^ [], 8 ^ []), -(member(7 ^ [], 9 ^ []))], clausify(prove_th23)).
% 29.78/29.45 cnf(9, plain, [-(10 ^ []), -(member(7 ^ [], symmetric_difference(8 ^ [], 9 ^ [])))], clausify(prove_th23)).
% 29.78/29.45 cnf(10, plain, [-(3 ^ [_11046, _10990]), -(member(_11160, _10990)), member(_11160, _11046)], clausify(equal_member_defn)).
% 29.78/29.45 cnf(11, plain, [-(3 ^ [_11046, _10990]), member(_11160, _10990), -(member(_11160, _11046))], clausify(equal_member_defn)).
% 29.78/29.45 cnf(12, plain, [-(2 ^ [_9570, _9510, _9449]), member(_9570, _9510)], clausify(difference_defn)).
% 29.78/29.45 cnf(13, plain, [-(2 ^ [_9570, _9510, _9449]), -(member(_9570, _9449))], clausify(difference_defn)).
% 29.78/29.45 cnf(14, plain, [-(1 ^ [_9053, _8995, _8936]), member(_9053, _8995)], clausify(union_defn)).
% 29.78/29.45 cnf(15, plain, [-(1 ^ [_9053, _8995, _8936]), member(_9053, _8936)], clausify(union_defn)).
% 29.78/29.45 cnf(16, plain, [13 ^ [], 10 ^ []], clausify(prove_th23)).
% 29.78/29.45 cnf(17, plain, [-(member(_9053, union(_8936, _8995))), 1 ^ [_9053, _8995, _8936]], clausify(union_defn)).
% 29.78/29.45 cnf(18, plain, [member(_9053, union(_8936, _8995)), -(member(_9053, _8936)), -(member(_9053, _8995))], clausify(union_defn)).
% 29.78/29.45 cnf(19, plain, [member(_9570, difference(_9449, _9510)), 2 ^ [_9570, _9510, _9449]], clausify(difference_defn)).
% 29.78/29.45 cnf(20, plain, [-(member(_9570, difference(_9449, _9510))), member(_9570, _9449), -(member(_9570, _9510))], clausify(difference_defn)).
% 29.78/29.45 cnf(21, plain, [-(symmetric_difference(_9984, _10035) = union(difference(_9984, _10035), difference(_10035, _9984)))], clausify(symmetric_difference_defn)).
% 29.78/29.45 cnf(22, plain, [_10990 = _11046, 3 ^ [_11046, _10990]], clausify(equal_member_defn)).
% 29.78/29.45
% 29.78/29.45 cnf('1',plain,[13 ^ [], 10 ^ []],start(16)).
% 29.78/29.45 cnf('1.1',plain,[-(13 ^ []), member(7 ^ [], symmetric_difference(8 ^ [], 9 ^ []))],extension(6)).
% 29.78/29.45 cnf('1.1.1',plain,[-(member(7 ^ [], symmetric_difference(8 ^ [], 9 ^ []))), -(3 ^ [union(difference(8 ^ [], 9 ^ []), difference(9 ^ [], 8 ^ [])), symmetric_difference(8 ^ [], 9 ^ [])]), member(7 ^ [], union(difference(8 ^ [], 9 ^ []), difference(9 ^ [], 8 ^ [])))],extension(10,bind([[_10990, _11160, _11046], [symmetric_difference(8 ^ [], 9 ^ []), 7 ^ [], union(difference(8 ^ [], 9 ^ []), difference(9 ^ [], 8 ^ []))]]))).
% 29.78/29.45 cnf('1.1.1.1',plain,[3 ^ [union(difference(8 ^ [], 9 ^ []), difference(9 ^ [], 8 ^ [])), symmetric_difference(8 ^ [], 9 ^ [])], symmetric_difference(8 ^ [], 9 ^ []) = union(difference(8 ^ [], 9 ^ []), difference(9 ^ [], 8 ^ []))],extension(22,bind([[_10990, _11046], [symmetric_difference(8 ^ [], 9 ^ []), union(difference(8 ^ [], 9 ^ []), difference(9 ^ [], 8 ^ []))]]))).
% 29.78/29.45 cnf('1.1.1.1.1',plain,[-(symmetric_difference(8 ^ [], 9 ^ []) = union(difference(8 ^ [], 9 ^ []), difference(9 ^ [], 8 ^ [])))],extension(21,bind([[_10035, _9984], [9 ^ [], 8 ^ []]]))).
% 29.78/29.45 cnf('1.1.1.2',plain,[-(member(7 ^ [], union(difference(8 ^ [], 9 ^ []), difference(9 ^ [], 8 ^ [])))), 1 ^ [7 ^ [], difference(9 ^ [], 8 ^ []), difference(8 ^ [], 9 ^ [])]],extension(17,bind([[_9053, _8995, _8936], [7 ^ [], difference(9 ^ [], 8 ^ []), difference(8 ^ [], 9 ^ [])]]))).
% 29.78/29.45 cnf('1.1.1.2.1',plain,[-(1 ^ [7 ^ [], difference(9 ^ [], 8 ^ []), difference(8 ^ [], 9 ^ [])]), member(7 ^ [], difference(9 ^ [], 8 ^ []))],extension(14,bind([[_8936, _9053, _8995], [difference(8 ^ [], 9 ^ []), 7 ^ [], difference(9 ^ [], 8 ^ [])]]))).
% 29.78/29.45 cnf('1.1.1.2.1.1',plain,[-(member(7 ^ [], difference(9 ^ [], 8 ^ []))), member(7 ^ [], 9 ^ []), -(member(7 ^ [], 8 ^ []))],extension(20,bind([[_9449, _9570, _9510], [9 ^ [], 7 ^ [], 8 ^ []]]))).
% 29.78/29.45 cnf('1.1.1.2.1.1.1',plain,[-(member(7 ^ [], 9 ^ [])), -(member(7 ^ [], difference(8 ^ [], 9 ^ []))), member(7 ^ [], 8 ^ [])],extension(20,bind([[_9510, _9570, _9449], [9 ^ [], 7 ^ [], 8 ^ []]]))).
% 29.78/29.45 cnf('1.1.1.2.1.1.1.1',plain,[member(7 ^ [], difference(8 ^ [], 9 ^ [])), -(1 ^ [7 ^ [], difference(9 ^ [], 8 ^ []), difference(8 ^ [], 9 ^ [])])],extension(15,bind([[_9053, _8995, _8936], [7 ^ [], difference(9 ^ [], 8 ^ []), difference(8 ^ [], 9 ^ [])]]))).
% 29.78/29.45 cnf('1.1.1.2.1.1.1.1.1',plain,[1 ^ [7 ^ [], difference(9 ^ [], 8 ^ []), difference(8 ^ [], 9 ^ [])]],reduction('1.1.1.2')).
% 29.78/29.45 cnf('1.1.1.2.1.1.1.2',plain,[-(member(7 ^ [], 8 ^ [])), -(11 ^ [])],extension(4)).
% 29.78/29.45 cnf('1.1.1.2.1.1.1.2.1',plain,[11 ^ [], -(13 ^ []), 12 ^ []],extension(5)).
% 29.78/29.45 cnf('1.1.1.2.1.1.1.2.1.1',plain,[13 ^ []],reduction('1')).
% 29.78/29.45 cnf('1.1.1.2.1.1.1.2.1.2',plain,[-(12 ^ []), -(member(7 ^ [], 9 ^ []))],extension(2)).
% 29.78/29.45 cnf('1.1.1.2.1.1.1.2.1.2.1',plain,[member(7 ^ [], 9 ^ [])],reduction('1.1.1.2.1.1')).
% 29.78/29.45 cnf('1.1.1.2.1.1.2',plain,[member(7 ^ [], 8 ^ []), -(12 ^ [])],extension(1)).
% 29.78/29.45 cnf('1.1.1.2.1.1.2.1',plain,[12 ^ [], -(13 ^ []), 11 ^ []],extension(5)).
% 29.78/29.45 cnf('1.1.1.2.1.1.2.1.1',plain,[13 ^ []],reduction('1')).
% 29.78/29.45 cnf('1.1.1.2.1.1.2.1.2',plain,[-(11 ^ []), member(7 ^ [], 9 ^ [])],extension(3)).
% 29.78/29.45 cnf('1.1.1.2.1.1.2.1.2.1',plain,[-(member(7 ^ [], 9 ^ []))],lemmata('1.1.1.2.1.1')).
% 29.78/29.45 cnf('1.2',plain,[-(10 ^ []), -(member(7 ^ [], symmetric_difference(8 ^ [], 9 ^ [])))],extension(9)).
% 29.78/29.45 cnf('1.2.1',plain,[member(7 ^ [], symmetric_difference(8 ^ [], 9 ^ [])), -(3 ^ [union(difference(8 ^ [], 9 ^ []), difference(9 ^ [], 8 ^ [])), symmetric_difference(8 ^ [], 9 ^ [])]), -(member(7 ^ [], union(difference(8 ^ [], 9 ^ []), difference(9 ^ [], 8 ^ []))))],extension(11,bind([[_10990, _11160, _11046], [symmetric_difference(8 ^ [], 9 ^ []), 7 ^ [], union(difference(8 ^ [], 9 ^ []), difference(9 ^ [], 8 ^ []))]]))).
% 29.78/29.45 cnf('1.2.1.1',plain,[3 ^ [union(difference(8 ^ [], 9 ^ []), difference(9 ^ [], 8 ^ [])), symmetric_difference(8 ^ [], 9 ^ [])], symmetric_difference(8 ^ [], 9 ^ []) = union(difference(8 ^ [], 9 ^ []), difference(9 ^ [], 8 ^ []))],extension(22,bind([[_10990, _11046], [symmetric_difference(8 ^ [], 9 ^ []), union(difference(8 ^ [], 9 ^ []), difference(9 ^ [], 8 ^ []))]]))).
% 29.78/29.45 cnf('1.2.1.1.1',plain,[-(symmetric_difference(8 ^ [], 9 ^ []) = union(difference(8 ^ [], 9 ^ []), difference(9 ^ [], 8 ^ [])))],extension(21,bind([[_10035, _9984], [9 ^ [], 8 ^ []]]))).
% 29.78/29.45 cnf('1.2.1.2',plain,[member(7 ^ [], union(difference(8 ^ [], 9 ^ []), difference(9 ^ [], 8 ^ []))), -(member(7 ^ [], difference(8 ^ [], 9 ^ []))), -(member(7 ^ [], difference(9 ^ [], 8 ^ [])))],extension(18,bind([[_8936, _9053, _8995], [difference(8 ^ [], 9 ^ []), 7 ^ [], difference(9 ^ [], 8 ^ [])]]))).
% 29.78/29.45 cnf('1.2.1.2.1',plain,[member(7 ^ [], difference(8 ^ [], 9 ^ [])), 2 ^ [7 ^ [], 9 ^ [], 8 ^ []]],extension(19,bind([[_9570, _9510, _9449], [7 ^ [], 9 ^ [], 8 ^ []]]))).
% 29.78/29.45 cnf('1.2.1.2.1.1',plain,[-(2 ^ [7 ^ [], 9 ^ [], 8 ^ []]), member(7 ^ [], 9 ^ [])],extension(12,bind([[_9449, _9570, _9510], [8 ^ [], 7 ^ [], 9 ^ []]]))).
% 29.78/29.45 cnf('1.2.1.2.1.1.1',plain,[-(member(7 ^ [], 9 ^ [])), -(10 ^ []), member(7 ^ [], 8 ^ [])],extension(8)).
% 29.78/29.45 cnf('1.2.1.2.1.1.1.1',plain,[10 ^ []],reduction('1')).
% 29.78/29.45 cnf('1.2.1.2.1.1.1.2',plain,[-(member(7 ^ [], 8 ^ [])), -(2 ^ [7 ^ [], 9 ^ [], 8 ^ []])],extension(13,bind([[_9570, _9510, _9449], [7 ^ [], 9 ^ [], 8 ^ []]]))).
% 29.78/29.45 cnf('1.2.1.2.1.1.1.2.1',plain,[2 ^ [7 ^ [], 9 ^ [], 8 ^ []]],reduction('1.2.1.2.1')).
% 29.78/29.45 cnf('1.2.1.2.2',plain,[member(7 ^ [], difference(9 ^ [], 8 ^ [])), 2 ^ [7 ^ [], 8 ^ [], 9 ^ []]],extension(19,bind([[_9570, _9510, _9449], [7 ^ [], 8 ^ [], 9 ^ []]]))).
% 29.78/29.45 cnf('1.2.1.2.2.1',plain,[-(2 ^ [7 ^ [], 8 ^ [], 9 ^ []]), member(7 ^ [], 8 ^ [])],extension(12,bind([[_9449, _9570, _9510], [9 ^ [], 7 ^ [], 8 ^ []]]))).
% 29.78/29.45 cnf('1.2.1.2.2.1.1',plain,[-(member(7 ^ [], 8 ^ [])), -(10 ^ []), member(7 ^ [], 9 ^ [])],extension(7)).
% 29.78/29.45 cnf('1.2.1.2.2.1.1.1',plain,[10 ^ []],reduction('1')).
% 29.78/29.45 cnf('1.2.1.2.2.1.1.2',plain,[-(member(7 ^ [], 9 ^ [])), -(2 ^ [7 ^ [], 8 ^ [], 9 ^ []])],extension(13,bind([[_9570, _9510, _9449], [7 ^ [], 8 ^ [], 9 ^ []]]))).
% 29.78/29.45 cnf('1.2.1.2.2.1.1.2.1',plain,[2 ^ [7 ^ [], 8 ^ [], 9 ^ []]],reduction('1.2.1.2.2')).
% 29.78/29.45 %-----------------------------------------------------
% 29.78/29.45
% 29.78/29.46 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------