TSTP Solution File: SET067-6 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET067-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n024.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 04:58:26 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Proof 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ subclass(singleton(x),unordered_pair(x,y)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair1_1)]) ).
cnf(g1,plain,
( subclass(singleton(x),unordered_pair(x,y))
| member(not_subclass_element(singleton(x),unordered_pair(x,y)),singleton(x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).
cnf(g2,plain,
( ~ member(not_subclass_element(singleton(x),unordered_pair(x,y)),unordered_pair(x,y))
| subclass(singleton(x),unordered_pair(x,y)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).
cnf(g3,plain,
( ~ sPE(singleton(x),unordered_pair(x,y))
| subclass(singleton(x),unordered_pair(x,y)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',equal_implies_subclass1)]) ).
cnf(g4,plain,
sPE(singleton(x),singleton(x)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g5,plain,
sPE(unordered_pair(x,x),singleton(x)),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',singleton_set)]) ).
cnf(g6,plain,
sPE(unordered_pair(x,y),unordered_pair(x,y)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g7,plain,
( ~ sPE(not_subclass_element(singleton(x),unordered_pair(x,y)),x)
| sPE(x,not_subclass_element(singleton(x),unordered_pair(x,y))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
( ~ sPE(x,not_subclass_element(singleton(x),unordered_pair(x,y)))
| ~ sPE(unordered_pair(x,y),unordered_pair(x,y))
| ~ member(x,unordered_pair(x,y))
| member(not_subclass_element(singleton(x),unordered_pair(x,y)),unordered_pair(x,y)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
( ~ sPE(not_subclass_element(singleton(x),unordered_pair(x,y)),x)
| ~ sPE(singleton(x),singleton(x))
| ~ member(not_subclass_element(singleton(x),unordered_pair(x,y)),singleton(x))
| member(x,singleton(x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g10,plain,
( ~ member(not_subclass_element(singleton(x),unordered_pair(x,y)),unordered_pair(x,x))
| sPE(not_subclass_element(singleton(x),unordered_pair(x,y)),x)
| sPE(not_subclass_element(singleton(x),unordered_pair(x,y)),x) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair_member)]) ).
cnf(g11,plain,
member(unordered_pair(x,x),universal_class),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pairs_in_universal)]) ).
cnf(g12,plain,
subclass(unordered_pair(x,x),universal_class),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).
cnf(g13,plain,
( ~ member(x,universal_class)
| member(x,unordered_pair(x,y)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair2)]) ).
cnf(g14,plain,
( ~ member(singleton(x),unordered_pair(unordered_pair(x,y),unordered_pair(x,x)))
| sPE(singleton(x),unordered_pair(x,y))
| sPE(singleton(x),unordered_pair(x,x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair_member)]) ).
cnf(g15,plain,
( ~ sPE(unordered_pair(x,x),singleton(x))
| ~ sPE(unordered_pair(unordered_pair(x,y),unordered_pair(x,x)),unordered_pair(unordered_pair(x,y),unordered_pair(x,x)))
| ~ member(unordered_pair(x,x),unordered_pair(unordered_pair(x,y),unordered_pair(x,x)))
| member(singleton(x),unordered_pair(unordered_pair(x,y),unordered_pair(x,x))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
sPE(unordered_pair(unordered_pair(x,y),unordered_pair(x,x)),unordered_pair(unordered_pair(x,y),unordered_pair(x,x))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
( ~ member(unordered_pair(x,x),universal_class)
| member(unordered_pair(x,x),unordered_pair(unordered_pair(x,y),unordered_pair(x,x))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair3)]) ).
cnf(g18,plain,
( ~ subclass(singleton(x),unordered_pair(x,x))
| ~ member(x,singleton(x))
| member(x,unordered_pair(x,x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g19,plain,
( ~ subclass(unordered_pair(x,x),universal_class)
| ~ member(x,unordered_pair(x,x))
| member(x,universal_class) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g20,plain,
( ~ sPE(singleton(x),unordered_pair(x,x))
| subclass(singleton(x),unordered_pair(x,x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',equal_implies_subclass1)]) ).
cnf(g21,plain,
( ~ subclass(singleton(x),unordered_pair(x,x))
| ~ member(not_subclass_element(singleton(x),unordered_pair(x,y)),singleton(x))
| member(not_subclass_element(singleton(x),unordered_pair(x,y)),unordered_pair(x,x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET067-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : satcop --statistics %s
% 0.13/0.34 % Computer : n024.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 11:04:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % symbols: 51
% 0.20/0.51 % clauses: 134
% 0.20/0.51 % start clauses: 1
% 0.20/0.51 % iterative deepening steps: 378
% 0.20/0.51 % maximum path limit: 4
% 0.20/0.51 % literal attempts: 113838
% 0.20/0.51 % depth failures: 85060
% 0.20/0.51 % regularity failures: 5408
% 0.20/0.51 % tautology failures: 2771
% 0.20/0.51 % reductions: 9395
% 0.20/0.51 % extensions: 104262
% 0.20/0.51 % SAT variables: 34591
% 0.20/0.51 % SAT clauses: 35802
% 0.20/0.51 % WalkSAT solutions: 35794
% 0.20/0.51 % CDCL solutions: 1
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------