TSTP Solution File: SET510-6 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET510-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n013.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 05:01:42 EDT 2022
% Result : Unsatisfiable 251.29s 31.94s
% Output : Proof 252.09s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(singleton(universal_class),null_class),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_singleton_is_null_class_1)]) ).
cnf(g1,plain,
( sPE(singleton(universal_class),null_class)
| sPE(intersection(singleton(universal_class),regular(singleton(universal_class))),null_class) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',regularity2)]) ).
cnf(g2,plain,
( sPE(singleton(universal_class),null_class)
| member(regular(singleton(universal_class)),singleton(universal_class)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',regularity1)]) ).
cnf(g3,plain,
( ~ member(not_subclass_element(singleton(universal_class),null_class),null_class)
| subclass(singleton(universal_class),null_class) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).
cnf(g4,plain,
( subclass(singleton(universal_class),null_class)
| member(not_subclass_element(singleton(universal_class),null_class),singleton(universal_class)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).
cnf(g5,plain,
( ~ sPE(intersection(singleton(universal_class),regular(singleton(universal_class))),null_class)
| sPE(null_class,intersection(singleton(universal_class),regular(singleton(universal_class)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g6,plain,
( ~ sPE(null_class,intersection(singleton(universal_class),regular(singleton(universal_class))))
| ~ sPE(intersection(singleton(universal_class),regular(singleton(universal_class))),null_class)
| sPE(null_class,null_class) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g7,plain,
( ~ sPE(singleton(universal_class),intersection(singleton(universal_class),regular(singleton(universal_class))))
| ~ sPE(intersection(singleton(universal_class),regular(singleton(universal_class))),null_class)
| sPE(singleton(universal_class),null_class) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
sPE(singleton(universal_class),singleton(universal_class)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
sPE(universal_class,universal_class),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g10,plain,
sPE(unordered_pair(universal_class,universal_class),singleton(universal_class)),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',singleton_set)]) ).
cnf(g11,plain,
( ~ sPE(intersection(singleton(universal_class),regular(singleton(universal_class))),singleton(universal_class))
| sPE(singleton(universal_class),intersection(singleton(universal_class),regular(singleton(universal_class)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
subclass(singleton(universal_class),universal_class),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).
cnf(g13,plain,
( ~ sPE(unordered_pair(universal_class,universal_class),singleton(universal_class))
| sPE(singleton(universal_class),unordered_pair(universal_class,universal_class)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g14,plain,
( ~ sPE(singleton(universal_class),unordered_pair(universal_class,universal_class))
| subclass(unordered_pair(universal_class,universal_class),singleton(universal_class)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',equal_implies_subclass2)]) ).
cnf(g15,plain,
( ~ sPE(unordered_pair(universal_class,universal_class),singleton(universal_class))
| ~ sPE(singleton(universal_class),unordered_pair(universal_class,universal_class))
| ~ subclass(unordered_pair(universal_class,universal_class),singleton(universal_class))
| subclass(singleton(universal_class),unordered_pair(universal_class,universal_class)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
( ~ sPE(singleton(universal_class),unordered_pair(universal_class,universal_class))
| ~ sPE(universal_class,universal_class)
| ~ subclass(singleton(universal_class),universal_class)
| subclass(unordered_pair(universal_class,universal_class),universal_class) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
( subclass(intersection(singleton(universal_class),regular(singleton(universal_class))),singleton(universal_class))
| member(not_subclass_element(intersection(singleton(universal_class),regular(singleton(universal_class))),singleton(universal_class)),intersection(singleton(universal_class),regular(singleton(universal_class)))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).
cnf(g18,plain,
( ~ member(not_subclass_element(intersection(singleton(universal_class),regular(singleton(universal_class))),singleton(universal_class)),singleton(universal_class))
| subclass(intersection(singleton(universal_class),regular(singleton(universal_class))),singleton(universal_class)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).
cnf(g19,plain,
sPE(regular(singleton(universal_class)),regular(singleton(universal_class))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
( ~ sPE(regular(singleton(universal_class)),regular(singleton(universal_class)))
| ~ sPE(singleton(universal_class),unordered_pair(universal_class,universal_class))
| ~ member(regular(singleton(universal_class)),singleton(universal_class))
| member(regular(singleton(universal_class)),unordered_pair(universal_class,universal_class)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g21,plain,
( ~ member(regular(singleton(universal_class)),unordered_pair(universal_class,universal_class))
| sPE(regular(singleton(universal_class)),universal_class)
| sPE(regular(singleton(universal_class)),universal_class) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair_member)]) ).
cnf(g22,plain,
( ~ member(not_subclass_element(intersection(singleton(universal_class),regular(singleton(universal_class))),singleton(universal_class)),intersection(singleton(universal_class),regular(singleton(universal_class))))
| member(not_subclass_element(intersection(singleton(universal_class),regular(singleton(universal_class))),singleton(universal_class)),singleton(universal_class)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).
cnf(g23,plain,
( ~ sPE(regular(singleton(universal_class)),universal_class)
| ~ sPE(null_class,null_class)
| ~ member(regular(singleton(universal_class)),null_class)
| member(universal_class,null_class) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g24,plain,
( ~ sPE(regular(singleton(universal_class)),universal_class)
| sPE(universal_class,regular(singleton(universal_class))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g25,plain,
( ~ member(not_subclass_element(singleton(universal_class),null_class),unordered_pair(universal_class,universal_class))
| sPE(not_subclass_element(singleton(universal_class),null_class),universal_class)
| sPE(not_subclass_element(singleton(universal_class),null_class),universal_class) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair_member)]) ).
cnf(g26,plain,
( ~ subclass(singleton(universal_class),unordered_pair(universal_class,universal_class))
| ~ member(not_subclass_element(singleton(universal_class),null_class),singleton(universal_class))
| member(not_subclass_element(singleton(universal_class),null_class),unordered_pair(universal_class,universal_class)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g27,plain,
( ~ sPE(not_subclass_element(singleton(universal_class),null_class),universal_class)
| sPE(universal_class,not_subclass_element(singleton(universal_class),null_class)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
( ~ subclass(intersection(singleton(universal_class),regular(singleton(universal_class))),singleton(universal_class))
| ~ subclass(singleton(universal_class),intersection(singleton(universal_class),regular(singleton(universal_class))))
| sPE(intersection(singleton(universal_class),regular(singleton(universal_class))),singleton(universal_class)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_implies_equal)]) ).
cnf(g29,plain,
( ~ sPE(singleton(universal_class),singleton(universal_class))
| ~ sPE(null_class,intersection(singleton(universal_class),regular(singleton(universal_class))))
| ~ subclass(singleton(universal_class),null_class)
| subclass(singleton(universal_class),intersection(singleton(universal_class),regular(singleton(universal_class)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g30,plain,
( ~ sPE(unordered_pair(universal_class,universal_class),singleton(universal_class))
| ~ sPE(universal_class,regular(singleton(universal_class)))
| ~ subclass(unordered_pair(universal_class,universal_class),universal_class)
| subclass(singleton(universal_class),regular(singleton(universal_class))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g31,plain,
( ~ sPE(universal_class,not_subclass_element(singleton(universal_class),null_class))
| ~ sPE(null_class,null_class)
| ~ member(universal_class,null_class)
| member(not_subclass_element(singleton(universal_class),null_class),null_class) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g32,plain,
( ~ subclass(singleton(universal_class),regular(singleton(universal_class)))
| ~ member(regular(singleton(universal_class)),singleton(universal_class))
| member(regular(singleton(universal_class)),regular(singleton(universal_class))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g33,plain,
( ~ member(regular(singleton(universal_class)),singleton(universal_class))
| ~ member(regular(singleton(universal_class)),regular(singleton(universal_class)))
| member(regular(singleton(universal_class)),intersection(singleton(universal_class),regular(singleton(universal_class)))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection3)]) ).
cnf(g34,plain,
( ~ sPE(regular(singleton(universal_class)),regular(singleton(universal_class)))
| ~ sPE(intersection(singleton(universal_class),regular(singleton(universal_class))),null_class)
| ~ member(regular(singleton(universal_class)),intersection(singleton(universal_class),regular(singleton(universal_class))))
| member(regular(singleton(universal_class)),null_class) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET510-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.12 % Command : satcop --statistics %s
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 20:37:59 EDT 2022
% 0.13/0.33 % CPUTime :
% 251.29/31.94 % symbols: 58
% 251.29/31.94 % clauses: 160
% 251.29/31.94 % start clauses: 1
% 251.29/31.94 % iterative deepening steps: 8566
% 251.29/31.94 % maximum path limit: 9
% 251.29/31.94 % literal attempts: 8282686
% 251.29/31.94 % depth failures: 7153525
% 251.29/31.94 % regularity failures: 223858
% 251.29/31.94 % tautology failures: 96340
% 251.29/31.94 % reductions: 246610
% 251.29/31.94 % extensions: 8035971
% 251.29/31.94 % SAT variables: 4619826
% 251.29/31.94 % SAT clauses: 4777844
% 251.29/31.94 % WalkSAT solutions: 4777038
% 251.29/31.94 % CDCL solutions: 798
% 251.29/31.94 % SZS status Unsatisfiable for theBenchmark
% 251.29/31.94 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------