TSTP Solution File: SET071+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET071+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n003.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 02:50:57 EDT 2022
% Result : Theorem 142.94s 138.36s
% Output : Proof 142.94s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET071+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n003.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 08:54:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 142.94/138.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 142.94/138.37 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 142.94/138.38
% 142.94/138.38 %-----------------------------------------------------
% 142.94/138.38 fof(regularity, axiom, ! [_78337] : ((! _78337) = null_class => ? [_78353] : (member(_78353, universal_class) & member(_78353, _78337) & disjoint(_78353, _78337))), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', regularity)).
% 142.94/138.38 fof(unordered_pair_defn, axiom, ! [_78599, _78602, _78605] : (member(_78599, unordered_pair(_78602, _78605)) <=> member(_78599, universal_class) & (_78599 = _78602 | _78599 = _78605)), file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', unordered_pair_defn)).
% 142.94/138.38 fof(null_unordered_pair, conjecture, ! [_78836, _78839] : (~ member(_78836, universal_class) & ~ member(_78839, universal_class) => unordered_pair(_78836, _78839) = null_class), file('/export/starexec/sandbox/benchmark/theBenchmark.p', null_unordered_pair)).
% 142.94/138.38
% 142.94/138.38 cnf(1, plain, [-(28 ^ [_53387]), -(member(27 ^ [_53387], _53387))], clausify(regularity)).
% 142.94/138.38 cnf(2, plain, [-(4 ^ [_37713, _37649, _37584]), -(_37584 = _37649), -(_37584 = _37713)], clausify(unordered_pair_defn)).
% 142.94/138.38 cnf(3, plain, [-(4 ^ [_37713, _37649, _37584]), -(member(_37584, universal_class))], clausify(unordered_pair_defn)).
% 142.94/138.38 cnf(4, plain, [member(30 ^ [], universal_class)], clausify(null_unordered_pair)).
% 142.94/138.38 cnf(5, plain, [member(31 ^ [], universal_class)], clausify(null_unordered_pair)).
% 142.94/138.38 cnf(6, plain, [unordered_pair(30 ^ [], 31 ^ []) = null_class], clausify(null_unordered_pair)).
% 142.94/138.38 cnf(7, plain, [-(_22759 = _22759)], theory(equality)).
% 142.94/138.38 cnf(8, plain, [-(member(_25016, _25147)), member(_24949, _25082), _24949 = _25016, _25082 = _25147], theory(equality)).
% 142.94/138.38 cnf(9, plain, [member(_37584, unordered_pair(_37649, _37713)), 4 ^ [_37713, _37649, _37584]], clausify(unordered_pair_defn)).
% 142.94/138.38 cnf(10, plain, [-(_53387 = null_class), 28 ^ [_53387]], clausify(regularity)).
% 142.94/138.38
% 142.94/138.38 cnf('1',plain,[member(27 ^ [unordered_pair(30 ^ [], 31 ^ [])], unordered_pair(30 ^ [], 31 ^ [])), 4 ^ [31 ^ [], 30 ^ [], 27 ^ [unordered_pair(30 ^ [], 31 ^ [])]]],start(9,bind([[_37713, _37649, _37584], [31 ^ [], 30 ^ [], 27 ^ [unordered_pair(30 ^ [], 31 ^ [])]]]))).
% 142.94/138.38 cnf('1.1',plain,[-(member(27 ^ [unordered_pair(30 ^ [], 31 ^ [])], unordered_pair(30 ^ [], 31 ^ []))), -(28 ^ [unordered_pair(30 ^ [], 31 ^ [])])],extension(1,bind([[_53387], [unordered_pair(30 ^ [], 31 ^ [])]]))).
% 142.94/138.38 cnf('1.1.1',plain,[28 ^ [unordered_pair(30 ^ [], 31 ^ [])], -(unordered_pair(30 ^ [], 31 ^ []) = null_class)],extension(10,bind([[_53387], [unordered_pair(30 ^ [], 31 ^ [])]]))).
% 142.94/138.38 cnf('1.1.1.1',plain,[unordered_pair(30 ^ [], 31 ^ []) = null_class],extension(6)).
% 142.94/138.38 cnf('1.2',plain,[-(4 ^ [31 ^ [], 30 ^ [], 27 ^ [unordered_pair(30 ^ [], 31 ^ [])]]), -(27 ^ [unordered_pair(30 ^ [], 31 ^ [])] = 30 ^ []), -(27 ^ [unordered_pair(30 ^ [], 31 ^ [])] = 31 ^ [])],extension(2,bind([[_37649, _37584, _37713], [30 ^ [], 27 ^ [unordered_pair(30 ^ [], 31 ^ [])], 31 ^ []]]))).
% 142.94/138.38 cnf('1.2.1',plain,[27 ^ [unordered_pair(30 ^ [], 31 ^ [])] = 30 ^ [], -(member(30 ^ [], universal_class)), member(27 ^ [unordered_pair(30 ^ [], 31 ^ [])], universal_class), universal_class = universal_class],extension(8,bind([[_25016, _24949, _25082, _25147], [30 ^ [], 27 ^ [unordered_pair(30 ^ [], 31 ^ [])], universal_class, universal_class]]))).
% 142.94/138.38 cnf('1.2.1.1',plain,[member(30 ^ [], universal_class)],extension(4)).
% 142.94/138.38 cnf('1.2.1.2',plain,[-(member(27 ^ [unordered_pair(30 ^ [], 31 ^ [])], universal_class)), -(4 ^ [31 ^ [], 30 ^ [], 27 ^ [unordered_pair(30 ^ [], 31 ^ [])]])],extension(3,bind([[_37713, _37649, _37584], [31 ^ [], 30 ^ [], 27 ^ [unordered_pair(30 ^ [], 31 ^ [])]]]))).
% 142.94/138.38 cnf('1.2.1.2.1',plain,[4 ^ [31 ^ [], 30 ^ [], 27 ^ [unordered_pair(30 ^ [], 31 ^ [])]]],reduction('1')).
% 142.94/138.38 cnf('1.2.1.3',plain,[-(universal_class = universal_class)],extension(7,bind([[_22759], [universal_class]]))).
% 142.94/138.38 cnf('1.2.2',plain,[27 ^ [unordered_pair(30 ^ [], 31 ^ [])] = 31 ^ [], -(member(31 ^ [], universal_class)), member(27 ^ [unordered_pair(30 ^ [], 31 ^ [])], universal_class), universal_class = universal_class],extension(8,bind([[_25016, _24949, _25082, _25147], [31 ^ [], 27 ^ [unordered_pair(30 ^ [], 31 ^ [])], universal_class, universal_class]]))).
% 142.94/138.38 cnf('1.2.2.1',plain,[member(31 ^ [], universal_class)],extension(5)).
% 142.94/138.38 cnf('1.2.2.2',plain,[-(member(27 ^ [unordered_pair(30 ^ [], 31 ^ [])], universal_class)), -(4 ^ [31 ^ [], 30 ^ [], 27 ^ [unordered_pair(30 ^ [], 31 ^ [])]])],extension(3,bind([[_37713, _37649, _37584], [31 ^ [], 30 ^ [], 27 ^ [unordered_pair(30 ^ [], 31 ^ [])]]]))).
% 142.94/138.38 cnf('1.2.2.2.1',plain,[4 ^ [31 ^ [], 30 ^ [], 27 ^ [unordered_pair(30 ^ [], 31 ^ [])]]],reduction('1')).
% 142.94/138.38 cnf('1.2.2.3',plain,[-(universal_class = universal_class)],extension(7,bind([[_22759], [universal_class]]))).
% 142.94/138.38 %-----------------------------------------------------
% 142.94/138.38
% 142.94/138.38 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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