TSTP Solution File: SET788+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET788+1 : TPTP v8.1.0. Released v3.1.0.
% 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 02:55:59 EDT 2022
% Result : Theorem 0.36s 1.40s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET788+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n025.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 06:47:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.36/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.41
% 0.36/1.41 %-----------------------------------------------------
% 0.36/1.41 fof(prove_this, conjecture, ! [_11047, _11050] : (equalish(_11047, _11050) <=> ! [_11068] : (a_member_of(_11068, _11047) <=> a_member_of(_11068, _11050))) => ! [_11047, _11050] : (equalish(_11047, _11050) <=> equalish(_11050, _11047)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_this)).
% 0.36/1.41
% 0.36/1.41 cnf(1, plain, [-(5 ^ []), equalish(2 ^ [], 3 ^ [])], clausify(prove_this)).
% 0.36/1.41 cnf(2, plain, [-(5 ^ []), -(equalish(3 ^ [], 2 ^ []))], clausify(prove_this)).
% 0.36/1.41 cnf(3, plain, [-(4 ^ []), equalish(3 ^ [], 2 ^ [])], clausify(prove_this)).
% 0.36/1.41 cnf(4, plain, [-(4 ^ []), -(equalish(2 ^ [], 3 ^ []))], clausify(prove_this)).
% 0.36/1.41 cnf(5, plain, [4 ^ [], 5 ^ []], clausify(prove_this)).
% 0.36/1.41 cnf(6, plain, [equalish(_2965, _3021), a_member_of(_3135, _2965), -(a_member_of(_3135, _3021))], clausify(prove_this)).
% 0.36/1.41 cnf(7, plain, [equalish(_2965, _3021), -(a_member_of(_3135, _2965)), a_member_of(_3135, _3021)], clausify(prove_this)).
% 0.36/1.41 cnf(8, plain, [-(equalish(_2965, _3021)), a_member_of(1 ^ [_3021, _2965], _2965), a_member_of(1 ^ [_3021, _2965], _3021)], clausify(prove_this)).
% 0.36/1.41 cnf(9, plain, [-(equalish(_2965, _3021)), -(a_member_of(1 ^ [_3021, _2965], _2965)), -(a_member_of(1 ^ [_3021, _2965], _3021))], clausify(prove_this)).
% 0.36/1.41
% 0.36/1.41 cnf('1',plain,[4 ^ [], 5 ^ []],start(5)).
% 0.36/1.41 cnf('1.1',plain,[-(4 ^ []), equalish(3 ^ [], 2 ^ [])],extension(3)).
% 0.36/1.41 cnf('1.1.1',plain,[-(equalish(3 ^ [], 2 ^ [])), a_member_of(1 ^ [2 ^ [], 3 ^ []], 3 ^ []), a_member_of(1 ^ [2 ^ [], 3 ^ []], 2 ^ [])],extension(8,bind([[_2965, _3021], [3 ^ [], 2 ^ []]]))).
% 0.36/1.41 cnf('1.1.1.1',plain,[-(a_member_of(1 ^ [2 ^ [], 3 ^ []], 3 ^ [])), equalish(2 ^ [], 3 ^ []), a_member_of(1 ^ [2 ^ [], 3 ^ []], 2 ^ [])],extension(6,bind([[_3021, _3135, _2965], [3 ^ [], 1 ^ [2 ^ [], 3 ^ []], 2 ^ []]]))).
% 0.36/1.41 cnf('1.1.1.1.1',plain,[-(equalish(2 ^ [], 3 ^ [])), -(4 ^ [])],extension(4)).
% 0.36/1.41 cnf('1.1.1.1.1.1',plain,[4 ^ []],reduction('1')).
% 0.36/1.41 cnf('1.1.1.1.2',plain,[-(a_member_of(1 ^ [2 ^ [], 3 ^ []], 2 ^ [])), -(equalish(3 ^ [], 2 ^ [])), -(a_member_of(1 ^ [2 ^ [], 3 ^ []], 3 ^ []))],extension(9,bind([[_3021, _2965], [2 ^ [], 3 ^ []]]))).
% 0.36/1.41 cnf('1.1.1.1.2.1',plain,[equalish(3 ^ [], 2 ^ [])],reduction('1.1')).
% 0.36/1.41 cnf('1.1.1.1.2.2',plain,[a_member_of(1 ^ [2 ^ [], 3 ^ []], 3 ^ [])],reduction('1.1.1')).
% 0.36/1.41 cnf('1.1.1.2',plain,[-(a_member_of(1 ^ [2 ^ [], 3 ^ []], 2 ^ [])), equalish(2 ^ [], 3 ^ []), a_member_of(1 ^ [2 ^ [], 3 ^ []], 3 ^ [])],extension(7,bind([[_2965, _3135, _3021], [2 ^ [], 1 ^ [2 ^ [], 3 ^ []], 3 ^ []]]))).
% 0.36/1.41 cnf('1.1.1.2.1',plain,[-(equalish(2 ^ [], 3 ^ [])), -(4 ^ [])],extension(4)).
% 0.36/1.41 cnf('1.1.1.2.1.1',plain,[4 ^ []],reduction('1')).
% 0.36/1.41 cnf('1.1.1.2.2',plain,[-(a_member_of(1 ^ [2 ^ [], 3 ^ []], 3 ^ []))],lemmata('1.1.1')).
% 0.36/1.41 cnf('1.2',plain,[-(5 ^ []), equalish(2 ^ [], 3 ^ [])],extension(1)).
% 0.36/1.41 cnf('1.2.1',plain,[-(equalish(2 ^ [], 3 ^ [])), a_member_of(1 ^ [3 ^ [], 2 ^ []], 2 ^ []), a_member_of(1 ^ [3 ^ [], 2 ^ []], 3 ^ [])],extension(8,bind([[_2965, _3021], [2 ^ [], 3 ^ []]]))).
% 0.36/1.41 cnf('1.2.1.1',plain,[-(a_member_of(1 ^ [3 ^ [], 2 ^ []], 2 ^ [])), equalish(3 ^ [], 2 ^ []), a_member_of(1 ^ [3 ^ [], 2 ^ []], 3 ^ [])],extension(6,bind([[_3021, _3135, _2965], [2 ^ [], 1 ^ [3 ^ [], 2 ^ []], 3 ^ []]]))).
% 0.36/1.41 cnf('1.2.1.1.1',plain,[-(equalish(3 ^ [], 2 ^ [])), -(5 ^ [])],extension(2)).
% 0.36/1.41 cnf('1.2.1.1.1.1',plain,[5 ^ []],reduction('1')).
% 0.36/1.41 cnf('1.2.1.1.2',plain,[-(a_member_of(1 ^ [3 ^ [], 2 ^ []], 3 ^ [])), -(equalish(2 ^ [], 3 ^ [])), -(a_member_of(1 ^ [3 ^ [], 2 ^ []], 2 ^ []))],extension(9,bind([[_3021, _2965], [3 ^ [], 2 ^ []]]))).
% 0.36/1.41 cnf('1.2.1.1.2.1',plain,[equalish(2 ^ [], 3 ^ [])],reduction('1.2')).
% 0.36/1.41 cnf('1.2.1.1.2.2',plain,[a_member_of(1 ^ [3 ^ [], 2 ^ []], 2 ^ [])],reduction('1.2.1')).
% 0.36/1.41 cnf('1.2.1.2',plain,[-(a_member_of(1 ^ [3 ^ [], 2 ^ []], 3 ^ [])), equalish(3 ^ [], 2 ^ []), a_member_of(1 ^ [3 ^ [], 2 ^ []], 2 ^ [])],extension(7,bind([[_2965, _3135, _3021], [3 ^ [], 1 ^ [3 ^ [], 2 ^ []], 2 ^ []]]))).
% 0.36/1.41 cnf('1.2.1.2.1',plain,[-(equalish(3 ^ [], 2 ^ [])), -(5 ^ [])],extension(2)).
% 0.36/1.41 cnf('1.2.1.2.1.1',plain,[5 ^ []],reduction('1')).
% 0.36/1.41 cnf('1.2.1.2.2',plain,[-(a_member_of(1 ^ [3 ^ [], 2 ^ []], 2 ^ []))],lemmata('1.2.1')).
% 0.36/1.41 %-----------------------------------------------------
% 0.36/1.42
% 0.36/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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