TSTP Solution File: SET517-6 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET517-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% 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 05:01:44 EDT 2022
% Result : Unsatisfiable 164.60s 21.21s
% Output : Proof 165.41s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
sPE(singleton(member_of(x)),x),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_not_singleton_of_set_1)]) ).
cnf(g1,plain,
sPE(member_of(x),x),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_not_singleton_of_set_2)]) ).
cnf(g2,plain,
( ~ sPE(singleton(member_of(x)),x)
| ~ sPE(x,x)
| sPE(unordered_pair(singleton(member_of(x)),x),unordered_pair(x,x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g3,plain,
( ~ sPE(singleton(member_of(x)),x)
| sPE(x,singleton(member_of(x))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g4,plain,
( ~ sPE(member_of(x),x)
| sPE(regular(member_of(x)),regular(x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g5,plain,
( ~ sPE(member_of(x),x)
| sPE(x,member_of(x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g6,plain,
( ~ sPE(member_of(x),x)
| sPE(singleton(member_of(x)),singleton(x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g7,plain,
( ~ sPE(x,member_of(x))
| ~ sPE(member_of(x),x)
| sPE(x,x) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g8,plain,
( ~ sPE(x,x)
| ~ sPE(member_of(x),x)
| sPE(unordered_pair(x,member_of(x)),unordered_pair(x,x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
( ~ member(singleton(member_of(x)),universal_class)
| member(singleton(member_of(x)),unordered_pair(singleton(member_of(x)),x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair2)]) ).
cnf(g10,plain,
( ~ sPE(x,x)
| ~ sPE(x,member_of(x))
| sPE(unordered_pair(x,x),unordered_pair(x,member_of(x))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g11,plain,
( ~ sPE(x,member_of(x))
| sPE(singleton(x),singleton(member_of(x))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
( ~ sPE(regular(member_of(x)),regular(x))
| subclass(regular(x),regular(member_of(x))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',equal_implies_subclass2)]) ).
cnf(g13,plain,
sPE(universal_class,universal_class),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g14,plain,
( ~ sPE(singleton(x),singleton(member_of(x)))
| ~ sPE(singleton(member_of(x)),x)
| sPE(singleton(x),x) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g15,plain,
( sPE(x,null_class)
| member(regular(x),x) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',regularity1)]) ).
cnf(g16,plain,
( ~ member(regular(x),unordered_pair(x,x))
| sPE(regular(x),x)
| sPE(regular(x),x) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair_member)]) ).
cnf(g17,plain,
( ~ subclass(x,unordered_pair(x,x))
| ~ member(regular(x),x)
| member(regular(x),unordered_pair(x,x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g18,plain,
( ~ sPE(unordered_pair(member_of(x),member_of(x)),singleton(member_of(x)))
| ~ sPE(universal_class,universal_class)
| ~ member(unordered_pair(member_of(x),member_of(x)),universal_class)
| member(singleton(member_of(x)),universal_class) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
member(unordered_pair(member_of(x),member_of(x)),universal_class),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pairs_in_universal)]) ).
cnf(g20,plain,
sPE(unordered_pair(member_of(x),member_of(x)),singleton(member_of(x))),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',singleton_set)]) ).
cnf(g21,plain,
( ~ member(x,x)
| ~ member(x,complement(x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement1)]) ).
cnf(g22,plain,
( ~ sPE(unordered_pair(x,x),unordered_pair(x,member_of(x)))
| ~ sPE(unordered_pair(x,member_of(x)),x)
| sPE(unordered_pair(x,x),x) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g23,plain,
( sPE(complement(x),null_class)
| sPE(intersection(complement(x),regular(complement(x))),null_class) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',choice2)]) ).
cnf(g24,plain,
( ~ sPE(singleton(member_of(x)),singleton(x))
| ~ sPE(unordered_pair(singleton(member_of(x)),x),unordered_pair(x,x))
| ~ member(singleton(member_of(x)),unordered_pair(singleton(member_of(x)),x))
| member(singleton(x),unordered_pair(x,x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g25,plain,
( ~ sPE(singleton(x),x)
| ~ sPE(unordered_pair(x,x),x)
| ~ member(singleton(x),unordered_pair(x,x))
| member(x,x) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement1)]) ).
cnf(g26,plain,
( ~ subclass(x,regular(x))
| ~ member(x,x)
| member(x,regular(x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).
cnf(g27,plain,
( sPE(x,null_class)
| sPE(intersection(x,regular(x)),null_class) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_implies_equal)]) ).
cnf(g28,plain,
( ~ sPE(regular(x),x)
| ~ sPE(regular(member_of(x)),regular(x))
| ~ subclass(regular(x),regular(member_of(x)))
| subclass(x,regular(x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g29,plain,
( ~ sPE(singleton(member_of(x)),x)
| ~ sPE(unordered_pair(member_of(x),member_of(x)),unordered_pair(x,x))
| ~ subclass(singleton(member_of(x)),unordered_pair(member_of(x),member_of(x)))
| subclass(x,unordered_pair(x,x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',equal_implies_subclass2)]) ).
cnf(g30,plain,
( ~ sPE(member_of(x),x)
| ~ sPE(member_of(x),x)
| sPE(unordered_pair(member_of(x),member_of(x)),unordered_pair(x,x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g31,plain,
( ~ sPE(unordered_pair(member_of(x),member_of(x)),singleton(member_of(x)))
| subclass(singleton(member_of(x)),unordered_pair(member_of(x),member_of(x))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g32,plain,
( ~ sPE(unordered_pair(x,member_of(x)),unordered_pair(x,x))
| ~ sPE(unordered_pair(x,x),singleton(x))
| sPE(unordered_pair(x,member_of(x)),singleton(x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g33,plain,
sPE(unordered_pair(x,x),singleton(x)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g34,plain,
( ~ sPE(unordered_pair(x,member_of(x)),singleton(x))
| ~ sPE(singleton(x),x)
| sPE(unordered_pair(x,member_of(x)),x) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',equal_implies_subclass2)]) ).
cnf(g35,plain,
( ~ member(x,x)
| ~ member(x,regular(x))
| member(x,intersection(x,regular(x))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).
cnf(g36,plain,
( ~ sPE(singleton(member_of(x)),x)
| ~ sPE(null_class,complement(x))
| ~ member(singleton(member_of(x)),null_class)
| member(x,complement(x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g37,plain,
( ~ sPE(complement(x),null_class)
| sPE(null_class,complement(x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g38,plain,
( ~ sPE(singleton(member_of(x)),x)
| ~ sPE(null_class,intersection(complement(x),regular(complement(x))))
| ~ member(singleton(member_of(x)),null_class)
| member(x,intersection(complement(x),regular(complement(x)))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',choice2)]) ).
cnf(g39,plain,
( ~ member(x,intersection(complement(x),regular(complement(x))))
| member(x,complement(x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g40,plain,
( ~ sPE(intersection(complement(x),regular(complement(x))),null_class)
| sPE(null_class,intersection(complement(x),regular(complement(x)))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).
cnf(g41,plain,
( ~ sPE(x,singleton(member_of(x)))
| ~ sPE(x,null_class)
| ~ member(x,x)
| member(singleton(member_of(x)),null_class) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g42,plain,
( ~ sPE(x,singleton(member_of(x)))
| ~ sPE(intersection(x,regular(x)),null_class)
| ~ member(x,intersection(x,regular(x)))
| member(singleton(member_of(x)),null_class) ),
inference(ground_cnf,[],[file('Axioms/SET004-1.ax',compose_class_definition2)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET517-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : satcop --statistics %s
% 0.13/0.33 % Computer : n003.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 9 19:19:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 164.60/21.21 % symbols: 60
% 164.60/21.21 % clauses: 162
% 164.60/21.21 % start clauses: 2
% 164.60/21.21 % iterative deepening steps: 4072
% 164.60/21.21 % maximum path limit: 4
% 164.60/21.21 % literal attempts: 35252389
% 164.60/21.21 % depth failures: 34423204
% 164.60/21.21 % regularity failures: 45150
% 164.60/21.21 % tautology failures: 79648
% 164.60/21.21 % reductions: 51776
% 164.60/21.21 % extensions: 35200574
% 164.60/21.21 % SAT variables: 7410867
% 164.60/21.21 % SAT clauses: 6901673
% 164.60/21.21 % WalkSAT solutions: 6901633
% 164.60/21.21 % CDCL solutions: 34
% 164.60/21.21 % SZS status Unsatisfiable for theBenchmark
% 164.60/21.21 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------