%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET099-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n009.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 04:58:58 EDT 2022
% Result : Unsatisfiable 8.72s 1.45s
% Output : Proof 8.72s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
sPE(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),not_subclass_element(x,null_class)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_number_of_elements_in_class_1)]) ).
cnf(g1,plain,
~ sPE(singleton(not_subclass_element(x,null_class)),x),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_number_of_elements_in_class_2)]) ).
cnf(g2,plain,
~ sPE(x,null_class),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_number_of_elements_in_class_3)]) ).
cnf(g3,plain,
( ~ sPE(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),not_subclass_element(x,null_class))
| sPE(not_subclass_element(x,null_class),not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g4,plain,
( sPE(x,null_class)
| sPE(singleton(not_subclass_element(x,null_class)),x)
| member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),intersection(complement(singleton(not_subclass_element(x,null_class))),x)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',number_of_elements_in_class)]) ).
cnf(g5,plain,
( sPE(x,null_class)
| member(not_subclass_element(x,null_class),x) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_is_unique)]) ).
cnf(g6,plain,
( ~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),intersection(complement(singleton(not_subclass_element(x,null_class))),x))
| member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),complement(singleton(not_subclass_element(x,null_class)))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection1)]) ).
cnf(g7,plain,
( ~ member(not_subclass_element(x,null_class),x)
| ~ member(not_subclass_element(x,null_class),x)
| member(ordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class)),cross_product(x,x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product3)]) ).
cnf(g8,plain,
( ~ member(not_subclass_element(x,null_class),universal_class)
| member(not_subclass_element(x,null_class),singleton(not_subclass_element(x,null_class))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_in_its_singleton)]) ).
cnf(g9,plain,
( ~ member(ordered_pair(not_subclass_element(x,null_class),not_subclass_element(x,null_class)),cross_product(x,x))
| member(not_subclass_element(x,null_class),universal_class) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_to_cartesian_product)]) ).
cnf(g10,plain,
( ~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),singleton(not_subclass_element(x,null_class)))
| ~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),complement(singleton(not_subclass_element(x,null_class)))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement1)]) ).
cnf(g11,plain,
sPE(singleton(not_subclass_element(x,null_class)),singleton(not_subclass_element(x,null_class))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
( ~ sPE(not_subclass_element(x,null_class),not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class))
| ~ sPE(singleton(not_subclass_element(x,null_class)),singleton(not_subclass_element(x,null_class)))
| ~ member(not_subclass_element(x,null_class),singleton(not_subclass_element(x,null_class)))
| member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),singleton(not_subclass_element(x,null_class))) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET099-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.14 % Command : satcop --statistics %s
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jul 9 16:48:07 EDT 2022
% 0.14/0.36 % CPUTime :
% 8.72/1.45 % symbols: 52
% 8.72/1.45 % clauses: 188
% 8.72/1.45 % start clauses: 3
% 8.72/1.45 % iterative deepening steps: 656
% 8.72/1.45 % maximum path limit: 3
% 8.72/1.45 % literal attempts: 1960183
% 8.72/1.45 % depth failures: 1794300
% 8.72/1.45 % regularity failures: 22827
% 8.72/1.45 % tautology failures: 19773
% 8.72/1.45 % reductions: 60113
% 8.72/1.45 % extensions: 1899326
% 8.72/1.45 % SAT variables: 474801
% 8.72/1.45 % SAT clauses: 426029
% 8.72/1.45 % WalkSAT solutions: 426021
% 8.72/1.45 % CDCL solutions: 5
% 8.72/1.45 % SZS status Unsatisfiable for theBenchmark
% 8.72/1.45 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------