TSTP Solution File: SET065+1 by leanCoP---2.2

View Problem - Process Solution

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% File     : leanCoP---2.2
% Problem  : SET065+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n029.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 02:50:51 EDT 2022

% Result   : Theorem 0.33s 1.41s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET065+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n029.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 : Mon Jul 11 00:10:16 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.33/1.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.41  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.33/1.42  
% 0.33/1.42  %-----------------------------------------------------
% 0.33/1.42  fof(null_class_is_a_set, conjecture, member(null_class, universal_class), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', null_class_is_a_set)).
% 0.33/1.42  fof(subclass_defn, axiom, ! [_73036, _73039] : (subclass(_73036, _73039) <=> ! [_73057] : (member(_73057, _73036) => member(_73057, _73039))), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', subclass_defn)).
% 0.33/1.42  fof(class_elements_are_sets, axiom, ! [_73240] : subclass(_73240, universal_class), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', class_elements_are_sets)).
% 0.33/1.42  fof(inductive_defn, axiom, ! [_73398] : (inductive(_73398) <=> member(null_class, _73398) & subclass(image(successor_relation, _73398), _73398)), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', inductive_defn)).
% 0.33/1.42  fof(infinity, axiom, ? [_73573] : (member(_73573, universal_class) & inductive(_73573) & ! [_73598] : (inductive(_73598) => subclass(_73573, _73598))), file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax', infinity)).
% 0.33/1.42  
% 0.33/1.42  cnf(1, plain, [member(null_class, universal_class)], clausify(null_class_is_a_set)).
% 0.33/1.42  cnf(2, plain, [subclass(_36157, _36213), member(_36327, _36157), -(member(_36327, _36213))], clausify(subclass_defn)).
% 0.33/1.42  cnf(3, plain, [-(subclass(_36618, universal_class))], clausify(class_elements_are_sets)).
% 0.33/1.42  cnf(4, plain, [inductive(_47960), -(member(null_class, _47960))], clausify(inductive_defn)).
% 0.33/1.42  cnf(5, plain, [-(inductive(2 ^ []))], clausify(infinity)).
% 0.33/1.42  
% 0.33/1.42  cnf('1',plain,[member(null_class, universal_class)],start(1)).
% 0.33/1.42  cnf('1.1',plain,[-(member(null_class, universal_class)), subclass(2 ^ [], universal_class), member(null_class, 2 ^ [])],extension(2,bind([[_36213, _36327, _36157], [universal_class, null_class, 2 ^ []]]))).
% 0.33/1.42  cnf('1.1.1',plain,[-(subclass(2 ^ [], universal_class))],extension(3,bind([[_36618], [2 ^ []]]))).
% 0.33/1.42  cnf('1.1.2',plain,[-(member(null_class, 2 ^ [])), inductive(2 ^ [])],extension(4,bind([[_47960], [2 ^ []]]))).
% 0.33/1.42  cnf('1.1.2.1',plain,[-(inductive(2 ^ []))],extension(5)).
% 0.33/1.42  %-----------------------------------------------------
% 0.33/1.42  
% 0.33/1.43  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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