TSTP Solution File: SET928+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET928+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n023.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 02:57:09 EDT 2022
% Result : Theorem 0.30s 1.39s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET928+1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n023.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 : Sun Jul 10 19:08:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.30/1.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.40
% 0.37/1.40 %-----------------------------------------------------
% 0.37/1.40 fof(t72_zfmisc_1, conjecture, ! [_21078, _21081, _21084] : (set_difference(unordered_pair(_21078, _21081), _21084) = unordered_pair(_21078, _21081) <=> ~ in(_21078, _21084) & ~ in(_21081, _21084)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t72_zfmisc_1)).
% 0.37/1.40 fof(commutativity_k2_tarski, axiom, ! [_21377, _21380] : unordered_pair(_21377, _21380) = unordered_pair(_21380, _21377), file('/export/starexec/sandbox/benchmark/theBenchmark.p', commutativity_k2_tarski)).
% 0.37/1.40 fof(t55_zfmisc_1, axiom, ! [_21526, _21529, _21532] : ~ (disjoint(unordered_pair(_21526, _21529), _21532) & in(_21526, _21532)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t55_zfmisc_1)).
% 0.37/1.40 fof(t57_zfmisc_1, axiom, ! [_21706, _21709, _21712] : ~ (~ in(_21706, _21709) & ~ in(_21712, _21709) & ~ disjoint(unordered_pair(_21706, _21712), _21709)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t57_zfmisc_1)).
% 0.37/1.40 fof(t83_xboole_1, axiom, ! [_21935, _21938] : (disjoint(_21935, _21938) <=> set_difference(_21935, _21938) = _21935), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t83_xboole_1)).
% 0.37/1.40
% 0.37/1.40 cnf(1, plain, [-(7 ^ []), set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = unordered_pair(3 ^ [], 4 ^ [])], clausify(t72_zfmisc_1)).
% 0.37/1.40 cnf(2, plain, [-(7 ^ []), in(4 ^ [], 5 ^ [])], clausify(t72_zfmisc_1)).
% 0.37/1.40 cnf(3, plain, [-(7 ^ []), in(3 ^ [], 5 ^ [])], clausify(t72_zfmisc_1)).
% 0.37/1.40 cnf(4, plain, [-(6 ^ []), -(in(3 ^ [], 5 ^ [])), -(in(4 ^ [], 5 ^ []))], clausify(t72_zfmisc_1)).
% 0.37/1.40 cnf(5, plain, [-(6 ^ []), -(set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = unordered_pair(3 ^ [], 4 ^ []))], clausify(t72_zfmisc_1)).
% 0.37/1.40 cnf(6, plain, [7 ^ [], 6 ^ []], clausify(t72_zfmisc_1)).
% 0.37/1.40 cnf(7, plain, [-(unordered_pair(_10018, _10063) = unordered_pair(_10063, _10018))], clausify(commutativity_k2_tarski)).
% 0.37/1.40 cnf(8, plain, [disjoint(unordered_pair(_10962, _11017), _11071), in(_10962, _11071)], clausify(t55_zfmisc_1)).
% 0.37/1.40 cnf(9, plain, [-(in(_11405, _11472)), -(in(_11538, _11472)), -(disjoint(unordered_pair(_11405, _11538), _11472))], clausify(t57_zfmisc_1)).
% 0.37/1.40 cnf(10, plain, [disjoint(_11996, _12044), -(set_difference(_11996, _12044) = _11996)], clausify(t83_xboole_1)).
% 0.37/1.40 cnf(11, plain, [-(disjoint(_11996, _12044)), set_difference(_11996, _12044) = _11996], clausify(t83_xboole_1)).
% 0.37/1.40 cnf(12, plain, [-(_5879 = _5879)], theory(equality)).
% 0.37/1.40 cnf(13, plain, [-(disjoint(_6854, _6985)), disjoint(_6787, _6920), _6787 = _6854, _6920 = _6985], theory(equality)).
% 0.37/1.40
% 0.37/1.40 cnf('1',plain,[7 ^ [], 6 ^ []],start(6)).
% 0.37/1.40 cnf('1.1',plain,[-(7 ^ []), set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = unordered_pair(3 ^ [], 4 ^ [])],extension(1)).
% 0.37/1.40 cnf('1.1.1',plain,[-(set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = unordered_pair(3 ^ [], 4 ^ [])), disjoint(unordered_pair(3 ^ [], 4 ^ []), 5 ^ [])],extension(10,bind([[_11996, _12044], [unordered_pair(3 ^ [], 4 ^ []), 5 ^ []]]))).
% 0.37/1.40 cnf('1.1.1.1',plain,[-(disjoint(unordered_pair(3 ^ [], 4 ^ []), 5 ^ [])), -(in(3 ^ [], 5 ^ [])), -(in(4 ^ [], 5 ^ []))],extension(9,bind([[_11405, _11538, _11472], [3 ^ [], 4 ^ [], 5 ^ []]]))).
% 0.37/1.40 cnf('1.1.1.1.1',plain,[in(3 ^ [], 5 ^ []), -(7 ^ [])],extension(3)).
% 0.37/1.40 cnf('1.1.1.1.1.1',plain,[7 ^ []],reduction('1')).
% 0.37/1.40 cnf('1.1.1.1.2',plain,[in(4 ^ [], 5 ^ []), -(7 ^ [])],extension(2)).
% 0.37/1.40 cnf('1.1.1.1.2.1',plain,[7 ^ []],reduction('1')).
% 0.37/1.40 cnf('1.2',plain,[-(6 ^ []), -(in(3 ^ [], 5 ^ [])), -(in(4 ^ [], 5 ^ []))],extension(4)).
% 0.37/1.40 cnf('1.2.1',plain,[in(3 ^ [], 5 ^ []), disjoint(unordered_pair(3 ^ [], 4 ^ []), 5 ^ [])],extension(8,bind([[_10962, _11017, _11071], [3 ^ [], 4 ^ [], 5 ^ []]]))).
% 0.37/1.40 cnf('1.2.1.1',plain,[-(disjoint(unordered_pair(3 ^ [], 4 ^ []), 5 ^ [])), set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = unordered_pair(3 ^ [], 4 ^ [])],extension(11,bind([[_12044, _11996], [5 ^ [], unordered_pair(3 ^ [], 4 ^ [])]]))).
% 0.37/1.40 cnf('1.2.1.1.1',plain,[-(set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = unordered_pair(3 ^ [], 4 ^ [])), -(6 ^ [])],extension(5)).
% 0.37/1.40 cnf('1.2.1.1.1.1',plain,[6 ^ []],reduction('1')).
% 0.37/1.40 cnf('1.2.2',plain,[in(4 ^ [], 5 ^ []), disjoint(unordered_pair(4 ^ [], 3 ^ []), 5 ^ [])],extension(8,bind([[_10962, _11017, _11071], [4 ^ [], 3 ^ [], 5 ^ []]]))).
% 0.37/1.40 cnf('1.2.2.1',plain,[-(disjoint(unordered_pair(4 ^ [], 3 ^ []), 5 ^ [])), disjoint(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []), unordered_pair(3 ^ [], 4 ^ []) = unordered_pair(4 ^ [], 3 ^ []), 5 ^ [] = 5 ^ []],extension(13,bind([[_6787, _6854, _6920, _6985], [unordered_pair(3 ^ [], 4 ^ []), unordered_pair(4 ^ [], 3 ^ []), 5 ^ [], 5 ^ []]]))).
% 0.37/1.40 cnf('1.2.2.1.1',plain,[-(disjoint(unordered_pair(3 ^ [], 4 ^ []), 5 ^ [])), set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = unordered_pair(3 ^ [], 4 ^ [])],extension(11,bind([[_12044, _11996], [5 ^ [], unordered_pair(3 ^ [], 4 ^ [])]]))).
% 0.37/1.40 cnf('1.2.2.1.1.1',plain,[-(set_difference(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = unordered_pair(3 ^ [], 4 ^ [])), -(6 ^ [])],extension(5)).
% 0.37/1.40 cnf('1.2.2.1.1.1.1',plain,[6 ^ []],reduction('1')).
% 0.37/1.40 cnf('1.2.2.1.2',plain,[-(unordered_pair(3 ^ [], 4 ^ []) = unordered_pair(4 ^ [], 3 ^ []))],extension(7,bind([[_10063, _10018], [4 ^ [], 3 ^ []]]))).
% 0.37/1.40 cnf('1.2.2.1.3',plain,[-(5 ^ [] = 5 ^ [])],extension(12,bind([[_5879], [5 ^ []]]))).
% 0.37/1.40 %-----------------------------------------------------
% 0.37/1.41
% 0.37/1.41 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------