TSTP Solution File: SET069-7 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET069-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n023.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 04:58:28 EDT 2022
% Result : Unsatisfiable 6.62s 1.32s
% Output : Proof 6.62s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ member(y,universal_class),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_equals_singleton1_1)]) ).
cnf(g1,plain,
~ sPE(unordered_pair(x,y),singleton(x)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_equals_singleton1_2)]) ).
cnf(g2,plain,
( ~ sPE(singleton(x),unordered_pair(x,y))
| sPE(unordered_pair(x,y),singleton(x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g3,plain,
sPE(unordered_pair(x,y),unordered_pair(y,x)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_unordered_pair)]) ).
cnf(g4,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(g5,plain,
( ~ member(not_subclass_element(singleton(x),unordered_pair(x,y)),unordered_pair(x,y))
| sPE(singleton(x),unordered_pair(x,y))
| member(not_subclass_element(unordered_pair(x,y),singleton(x)),unordered_pair(x,y)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality2)]) ).
cnf(g6,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),singleton(x)),singleton(x))
| sPE(singleton(x),unordered_pair(x,y))
| member(not_subclass_element(singleton(x),unordered_pair(x,y)),singleton(x)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality3)]) ).
cnf(g7,plain,
( sPE(singleton(x),unordered_pair(x,y))
| member(not_subclass_element(singleton(x),unordered_pair(x,y)),singleton(x))
| member(not_subclass_element(unordered_pair(x,y),singleton(x)),unordered_pair(x,y)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality1)]) ).
cnf(g8,plain,
( ~ member(not_subclass_element(singleton(x),unordered_pair(x,y)),unordered_pair(x,y))
| ~ member(not_subclass_element(unordered_pair(x,y),singleton(x)),singleton(x))
| sPE(singleton(x),unordered_pair(x,y)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality4)]) ).
cnf(g9,plain,
( ~ member(x,universal_class)
| member(x,unordered_pair(x,x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair2)]) ).
cnf(g10,plain,
subclass(unordered_pair(y,x),universal_class),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).
cnf(g11,plain,
sPE(unordered_pair(x,x),singleton(x)),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',singleton_set)]) ).
cnf(g12,plain,
member(unordered_pair(x,x),universal_class),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pairs_in_universal)]) ).
cnf(g13,plain,
( ~ member(ordered_pair(unordered_pair(x,x),y),cross_product(universal_class,unordered_pair(x,y)))
| member(y,universal_class) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_to_cartesian_product)]) ).
cnf(g14,plain,
( ~ member(unordered_pair(x,x),universal_class)
| ~ member(y,unordered_pair(x,y))
| member(ordered_pair(unordered_pair(x,x),y),cross_product(universal_class,unordered_pair(x,y))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product3)]) ).
cnf(g15,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(g16,plain,
sPE(unordered_pair(x,y),unordered_pair(x,y)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),singleton(x)),unordered_pair(x,y))
| sPE(not_subclass_element(unordered_pair(x,y),singleton(x)),x)
| sPE(not_subclass_element(unordered_pair(x,y),singleton(x)),y) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair_member)]) ).
cnf(g18,plain,
( ~ sPE(not_subclass_element(unordered_pair(x,y),singleton(x)),x)
| sPE(x,not_subclass_element(unordered_pair(x,y),singleton(x))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
( ~ sPE(x,not_subclass_element(unordered_pair(x,y),singleton(x)))
| ~ sPE(unordered_pair(x,x),singleton(x))
| ~ member(x,unordered_pair(x,x))
| member(not_subclass_element(unordered_pair(x,y),singleton(x)),singleton(x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,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(g21,plain,
( ~ subclass(unordered_pair(y,x),universal_class)
| ~ member(x,unordered_pair(y,x))
| member(x,universal_class) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g22,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(g23,plain,
( ~ member(x,universal_class)
| member(x,unordered_pair(x,y)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair2)]) ).
cnf(g24,plain,
( ~ sPE(not_subclass_element(unordered_pair(x,y),singleton(x)),x)
| ~ sPE(unordered_pair(x,y),unordered_pair(y,x))
| ~ member(not_subclass_element(unordered_pair(x,y),singleton(x)),unordered_pair(x,y))
| member(x,unordered_pair(y,x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g25,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(g26,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(g27,plain,
( ~ sPE(not_subclass_element(unordered_pair(x,y),singleton(x)),y)
| ~ sPE(unordered_pair(x,y),unordered_pair(x,y))
| ~ member(not_subclass_element(unordered_pair(x,y),singleton(x)),unordered_pair(x,y))
| member(y,unordered_pair(x,y)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
sPE(cross_product(singleton(x),singleton(x)),cross_product(singleton(x),singleton(x))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g29,plain,
( ~ sPE(ordered_pair(not_subclass_element(singleton(x),unordered_pair(x,y)),not_subclass_element(singleton(x),unordered_pair(x,y))),ordered_pair(x,x))
| ~ sPE(cross_product(singleton(x),singleton(x)),cross_product(singleton(x),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)))
| member(ordered_pair(x,x),cross_product(singleton(x),singleton(x))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g30,plain,
( ~ sPE(not_subclass_element(singleton(x),unordered_pair(x,y)),x)
| ~ sPE(not_subclass_element(singleton(x),unordered_pair(x,y)),x)
| sPE(ordered_pair(not_subclass_element(singleton(x),unordered_pair(x,y)),not_subclass_element(singleton(x),unordered_pair(x,y))),ordered_pair(x,x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g31,plain,
( ~ member(ordered_pair(x,x),cross_product(singleton(x),singleton(x)))
| member(x,universal_class) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_1_to_cartesian_product)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET069-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.14 % Command : satcop --statistics %s
% 0.14/0.35 % Computer : n023.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 17:52:40 EDT 2022
% 0.14/0.35 % CPUTime :
% 6.62/1.32 % symbols: 51
% 6.62/1.32 % clauses: 152
% 6.62/1.32 % start clauses: 2
% 6.62/1.32 % iterative deepening steps: 934
% 6.62/1.32 % maximum path limit: 4
% 6.62/1.32 % literal attempts: 1882321
% 6.62/1.32 % depth failures: 1609117
% 6.62/1.32 % regularity failures: 73403
% 6.62/1.32 % tautology failures: 36631
% 6.62/1.32 % reductions: 54811
% 6.62/1.32 % extensions: 1826676
% 6.62/1.32 % SAT variables: 182474
% 6.62/1.32 % SAT clauses: 201345
% 6.62/1.32 % WalkSAT solutions: 201335
% 6.62/1.32 % CDCL solutions: 5
% 6.62/1.32 % SZS status Unsatisfiable for theBenchmark
% 6.62/1.32 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------