TSTP Solution File: SET067-7 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET067-7 : 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 04:58:27 EDT 2022
% Result : Unsatisfiable 0.18s 0.47s
% Output : Proof 0.18s
% 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/sandbox2/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,
( ~ member(not_subclass_element(singleton(x),unordered_pair(x,y)),singleton(x))
| ~ member(not_subclass_element(singleton(x),unordered_pair(x,y)),singleton(x))
| member(ordered_pair(not_subclass_element(singleton(x),unordered_pair(x,y)),not_subclass_element(singleton(x),unordered_pair(x,y))),cross_product(singleton(x),singleton(x))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product3)]) ).
cnf(g4,plain,
sPE(unordered_pair(x,x),singleton(x)),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',singleton_set)]) ).
cnf(g5,plain,
sPE(unordered_pair(x,y),unordered_pair(x,y)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g6,plain,
( ~ member(ordered_pair(not_subclass_element(singleton(x),unordered_pair(x,y)),not_subclass_element(singleton(x),unordered_pair(x,y))),cross_product(singleton(x),singleton(x)))
| member(not_subclass_element(singleton(x),unordered_pair(x,y)),universal_class) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_1_to_cartesian_product)]) ).
cnf(g7,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(g8,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(g9,plain,
sPE(universal_class,universal_class),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g10,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(g11,plain,
( ~ sPE(unordered_pair(x,x),singleton(x))
| subclass(singleton(x),unordered_pair(x,x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',equal_implies_subclass2)]) ).
cnf(g12,plain,
( ~ member(x,universal_class)
| member(x,unordered_pair(x,y)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair2)]) ).
cnf(g13,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)]) ).
cnf(g14,plain,
( ~ sPE(not_subclass_element(singleton(x),unordered_pair(x,y)),x)
| ~ sPE(universal_class,universal_class)
| ~ member(not_subclass_element(singleton(x),unordered_pair(x,y)),universal_class)
| member(x,universal_class) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET067-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : satcop --statistics %s
% 0.12/0.32 % Computer : n013.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sat Jul 9 19:52:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 % symbols: 51
% 0.18/0.47 % clauses: 151
% 0.18/0.47 % start clauses: 1
% 0.18/0.47 % iterative deepening steps: 520
% 0.18/0.47 % maximum path limit: 4
% 0.18/0.47 % literal attempts: 216887
% 0.18/0.47 % depth failures: 166340
% 0.18/0.47 % regularity failures: 7651
% 0.18/0.47 % tautology failures: 8185
% 0.18/0.47 % reductions: 18280
% 0.18/0.47 % extensions: 198342
% 0.18/0.47 % SAT variables: 33223
% 0.18/0.47 % SAT clauses: 37501
% 0.18/0.47 % WalkSAT solutions: 37498
% 0.18/0.47 % CDCL solutions: 0
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------