TSTP Solution File: SET811+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET811+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n025.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 02:56:07 EDT 2022
% Result : Theorem 3.03s 3.47s
% Output : Proof 3.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET811+4 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n025.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jul 10 13:41:46 EDT 2022
% 0.11/0.33 % CPUTime :
% 3.03/3.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.03/3.48 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.09/3.48
% 3.09/3.48 %-----------------------------------------------------
% 3.09/3.48 fof(thV5, conjecture, ! [_61075] : (member(_61075, on) => ! [_61093] : (member(_61093, _61075) => equal_set(_61093, initial_segment(_61093, member_predicate, _61075)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', thV5)).
% 3.09/3.48 fof(subset, axiom, ! [_61356, _61359] : (subset(_61356, _61359) <=> ! [_61377] : (member(_61377, _61356) => member(_61377, _61359))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', subset)).
% 3.09/3.48 fof(equal_set, axiom, ! [_61586, _61589] : (equal_set(_61586, _61589) <=> subset(_61586, _61589) & subset(_61589, _61586)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', equal_set)).
% 3.09/3.48 fof(intersection, axiom, ! [_61763, _61766, _61769] : (member(_61763, intersection(_61766, _61769)) <=> member(_61763, _61766) & member(_61763, _61769)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', intersection)).
% 3.09/3.48 fof(ordinal_number, axiom, ! [_61996] : (member(_61996, on) <=> set(_61996) & strict_well_order(member_predicate, _61996) & ! [_62031] : (member(_62031, _61996) => subset(_62031, _61996))), file('/export/starexec/sandbox/benchmark/Axioms/SET006+4.ax', ordinal_number)).
% 3.09/3.48 fof(rel_member, axiom, ! [_62250, _62253] : (apply(member_predicate, _62250, _62253) <=> member(_62250, _62253)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+4.ax', rel_member)).
% 3.09/3.48 fof(initial_segment, axiom, ! [_62419, _62422, _62425, _62428] : (member(_62428, initial_segment(_62419, _62422, _62425)) <=> member(_62428, _62425) & apply(_62422, _62428, _62419)), file('/export/starexec/sandbox/benchmark/Axioms/SET006+4.ax', initial_segment)).
% 3.09/3.48
% 3.09/3.48 cnf(1, plain, [-(member(14 ^ [], on))], clausify(thV5)).
% 3.09/3.48 cnf(2, plain, [-(member(15 ^ [], 14 ^ []))], clausify(thV5)).
% 3.09/3.48 cnf(3, plain, [equal_set(15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ []))], clausify(thV5)).
% 3.09/3.48 cnf(4, plain, [-(_13307 = _13307)], theory(equality)).
% 3.09/3.48 cnf(5, plain, [-(subset(_19147, _19278)), subset(_19080, _19213), _19080 = _19147, _19213 = _19278], theory(equality)).
% 3.09/3.48 cnf(6, plain, [-(subset(_25161, _25217)), -(member(1 ^ [_25217, _25161], _25161))], clausify(subset)).
% 3.09/3.48 cnf(7, plain, [-(subset(_25161, _25217)), member(1 ^ [_25217, _25161], _25217)], clausify(subset)).
% 3.09/3.48 cnf(8, plain, [subset(_25161, _25217), member(_25331, _25161), -(member(_25331, _25217))], clausify(subset)).
% 3.09/3.48 cnf(9, plain, [-(equal_set(_25622, _25673)), subset(_25622, _25673), subset(_25673, _25622)], clausify(equal_set)).
% 3.09/3.48 cnf(10, plain, [member(_26348, intersection(_26407, _26465)), -(member(_26348, _26465))], clausify(intersection)).
% 3.09/3.48 cnf(11, plain, [-(member(_26348, intersection(_26407, _26465))), member(_26348, _26407), member(_26348, _26465)], clausify(intersection)).
% 3.09/3.48 cnf(12, plain, [member(_30047, on), member(_30265, _30047), -(subset(_30265, _30047))], clausify(ordinal_number)).
% 3.09/3.48 cnf(13, plain, [apply(member_predicate, _32214, _32260), -(member(_32214, _32260))], clausify(rel_member)).
% 3.09/3.48 cnf(14, plain, [-(apply(member_predicate, _32214, _32260)), member(_32214, _32260)], clausify(rel_member)).
% 3.09/3.48 cnf(15, plain, [member(_34894, initial_segment(_34699, _34765, _34830)), -(apply(_34765, _34894, _34699))], clausify(initial_segment)).
% 3.09/3.48 cnf(16, plain, [-(member(_34894, initial_segment(_34699, _34765, _34830))), member(_34894, _34830), apply(_34765, _34894, _34699)], clausify(initial_segment)).
% 3.09/3.48
% 3.09/3.48 cnf('1',plain,[equal_set(15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ []))],start(3)).
% 3.09/3.48 cnf('1.1',plain,[-(equal_set(15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ []))), subset(15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ [])), subset(initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ [])],extension(9,bind([[_25673, _25622], [initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ []]]))).
% 3.09/3.48 cnf('1.1.1',plain,[-(subset(15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ []))), -(member(1 ^ [initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ []], 15 ^ []))],extension(6,bind([[_25217, _25161], [initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ []]]))).
% 3.09/3.48 cnf('1.1.1.1',plain,[member(1 ^ [initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ []], 15 ^ []), subset(15 ^ [], 14 ^ []), -(member(1 ^ [initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ []], 14 ^ []))],extension(8,bind([[_25161, _25331, _25217], [15 ^ [], 1 ^ [initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ []], 14 ^ []]]))).
% 3.09/3.48 cnf('1.1.1.1.1',plain,[-(subset(15 ^ [], 14 ^ [])), subset(15 ^ [], 14 ^ []), 15 ^ [] = 15 ^ [], 14 ^ [] = 14 ^ []],extension(5,bind([[_19080, _19147, _19213, _19278], [15 ^ [], 15 ^ [], 14 ^ [], 14 ^ []]]))).
% 3.09/3.48 cnf('1.1.1.1.1.1',plain,[-(subset(15 ^ [], 14 ^ [])), member(14 ^ [], on), member(15 ^ [], 14 ^ [])],extension(12,bind([[_30265, _30047], [15 ^ [], 14 ^ []]]))).
% 3.09/3.48 cnf('1.1.1.1.1.1.1',plain,[-(member(14 ^ [], on))],extension(1)).
% 3.09/3.48 cnf('1.1.1.1.1.1.2',plain,[-(member(15 ^ [], 14 ^ []))],extension(2)).
% 3.09/3.48 cnf('1.1.1.1.1.2',plain,[-(15 ^ [] = 15 ^ [])],extension(4,bind([[_13307], [15 ^ []]]))).
% 3.09/3.48 cnf('1.1.1.1.1.3',plain,[-(14 ^ [] = 14 ^ [])],extension(4,bind([[_13307], [14 ^ []]]))).
% 3.09/3.48 cnf('1.1.1.1.2',plain,[member(1 ^ [initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ []], 14 ^ []), -(member(1 ^ [initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ []], initial_segment(15 ^ [], member_predicate, 14 ^ []))), apply(member_predicate, 1 ^ [initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ []], 15 ^ [])],extension(16,bind([[_34830, _34765, _34894, _34699], [14 ^ [], member_predicate, 1 ^ [initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ []], 15 ^ []]]))).
% 3.09/3.48 cnf('1.1.1.1.2.1',plain,[member(1 ^ [initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ []], initial_segment(15 ^ [], member_predicate, 14 ^ [])), -(subset(15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ [])))],extension(7,bind([[_25161, _25217], [15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ [])]]))).
% 3.09/3.48 cnf('1.1.1.1.2.1.1',plain,[subset(15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ []))],reduction('1.1')).
% 3.09/3.48 cnf('1.1.1.1.2.2',plain,[-(apply(member_predicate, 1 ^ [initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ []], 15 ^ [])), member(1 ^ [initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ []], 15 ^ [])],extension(14,bind([[_32214, _32260], [1 ^ [initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ []], 15 ^ []]]))).
% 3.09/3.48 cnf('1.1.1.1.2.2.1',plain,[-(member(1 ^ [initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ []], 15 ^ []))],reduction('1.1.1')).
% 3.09/3.48 cnf('1.1.2',plain,[-(subset(initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ [])), -(member(1 ^ [15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ [])], initial_segment(15 ^ [], member_predicate, 14 ^ [])))],extension(6,bind([[_25217, _25161], [15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ [])]]))).
% 3.09/3.48 cnf('1.1.2.1',plain,[member(1 ^ [15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ [])], initial_segment(15 ^ [], member_predicate, 14 ^ [])), -(member(1 ^ [15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ [])], intersection(initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ []))), member(1 ^ [15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ [])], 15 ^ [])],extension(11,bind([[_26407, _26348, _26465], [initial_segment(15 ^ [], member_predicate, 14 ^ []), 1 ^ [15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ [])], 15 ^ []]]))).
% 3.09/3.48 cnf('1.1.2.1.1',plain,[member(1 ^ [15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ [])], intersection(initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ [])), -(member(1 ^ [15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ [])], 15 ^ []))],extension(10,bind([[_26407, _26348, _26465], [initial_segment(15 ^ [], member_predicate, 14 ^ []), 1 ^ [15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ [])], 15 ^ []]]))).
% 3.09/3.48 cnf('1.1.2.1.1.1',plain,[member(1 ^ [15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ [])], 15 ^ []), -(subset(initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ []))],extension(7,bind([[_25161, _25217], [initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ []]]))).
% 3.09/3.48 cnf('1.1.2.1.1.1.1',plain,[subset(initial_segment(15 ^ [], member_predicate, 14 ^ []), 15 ^ [])],reduction('1.1')).
% 3.09/3.48 cnf('1.1.2.1.2',plain,[-(member(1 ^ [15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ [])], 15 ^ [])), apply(member_predicate, 1 ^ [15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ [])], 15 ^ [])],extension(13,bind([[_32214, _32260], [1 ^ [15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ [])], 15 ^ []]]))).
% 3.09/3.48 cnf('1.1.2.1.2.1',plain,[-(apply(member_predicate, 1 ^ [15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ [])], 15 ^ [])), member(1 ^ [15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ [])], initial_segment(15 ^ [], member_predicate, 14 ^ []))],extension(15,bind([[_34894, _34699, _34765, _34830], [1 ^ [15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ [])], 15 ^ [], member_predicate, 14 ^ []]]))).
% 3.09/3.48 cnf('1.1.2.1.2.1.1',plain,[-(member(1 ^ [15 ^ [], initial_segment(15 ^ [], member_predicate, 14 ^ [])], initial_segment(15 ^ [], member_predicate, 14 ^ [])))],reduction('1.1.2')).
% 3.09/3.48 %-----------------------------------------------------
% 3.09/3.49
% 3.09/3.49 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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