%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET066-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n006.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 04:58:25 EDT 2022
% Result : Unsatisfiable 2.07s 0.66s
% Output : Proof 2.07s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(unordered_pair(x,y),unordered_pair(y,x)),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity_of_unordered_pair_1)]) ).
cnf(g1,plain,
( ~ sPE(unordered_pair(y,x),unordered_pair(x,y))
| sPE(unordered_pair(x,y),unordered_pair(y,x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g2,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),universal_class)
| member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,x))
| member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),complement(unordered_pair(y,x))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement2)]) ).
cnf(g3,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(x,y))
| sPE(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),x)
| sPE(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),y) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair_member)]) ).
cnf(g4,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(x,y))
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(x,y))
| member(ordered_pair(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),not_subclass_element(unordered_pair(x,y),unordered_pair(y,x))),cross_product(unordered_pair(x,y),unordered_pair(x,y))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product3)]) ).
cnf(g5,plain,
( ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(y,x))
| sPE(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),y)
| sPE(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),x) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair_member)]) ).
cnf(g6,plain,
( ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(y,x))
| ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(y,x))
| member(ordered_pair(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),not_subclass_element(unordered_pair(y,x),unordered_pair(x,y))),cross_product(unordered_pair(y,x),unordered_pair(y,x))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',cartesian_product3)]) ).
cnf(g7,plain,
( ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(x,y))
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,x))
| sPE(unordered_pair(y,x),unordered_pair(x,y)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality4)]) ).
cnf(g8,plain,
( ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(x,y))
| sPE(unordered_pair(y,x),unordered_pair(x,y))
| member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(x,y)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality2)]) ).
cnf(g9,plain,
( sPE(unordered_pair(y,x),unordered_pair(x,y))
| member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(y,x))
| member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(x,y)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality1)]) ).
cnf(g10,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,x))
| sPE(unordered_pair(y,x),unordered_pair(x,y))
| member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(y,x)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality3)]) ).
cnf(g11,plain,
( ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),universal_class)
| member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(x,y))
| member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),complement(unordered_pair(x,y))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement2)]) ).
cnf(g12,plain,
sPE(unordered_pair(x,y),unordered_pair(x,y)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g13,plain,
( ~ member(y,universal_class)
| member(y,unordered_pair(x,y)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair3)]) ).
cnf(g14,plain,
( ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),universal_class)
| member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),y)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair2)]) ).
cnf(g15,plain,
( ~ sPE(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),x)
| ~ sPE(y,y)
| sPE(unordered_pair(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),y),unordered_pair(x,y)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),universal_class)
| member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair3)]) ).
cnf(g17,plain,
( subclass(y,y)
| member(not_subclass_element(y,y),y) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).
cnf(g18,plain,
sPE(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),not_subclass_element(unordered_pair(y,x),unordered_pair(x,y))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
( ~ member(ordered_pair(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),not_subclass_element(unordered_pair(y,x),unordered_pair(x,y))),cross_product(unordered_pair(y,x),unordered_pair(y,x)))
| member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),universal_class) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_1_to_cartesian_product)]) ).
cnf(g20,plain,
subclass(unordered_pair(x,y),universal_class),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).
cnf(g21,plain,
( ~ subclass(y,y)
| ~ subclass(y,y)
| sPE(y,y) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_implies_equal)]) ).
cnf(g22,plain,
( ~ member(not_subclass_element(y,y),y)
| ~ member(not_subclass_element(y,y),y)
| sPE(y,y) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality4)]) ).
cnf(g23,plain,
sPE(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),not_subclass_element(unordered_pair(x,y),unordered_pair(y,x))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g24,plain,
( ~ sPE(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)))
| ~ sPE(unordered_pair(y,not_subclass_element(unordered_pair(x,y),unordered_pair(y,x))),unordered_pair(y,x))
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,not_subclass_element(unordered_pair(x,y),unordered_pair(y,x))))
| member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g25,plain,
( ~ sPE(y,y)
| ~ sPE(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),x)
| sPE(unordered_pair(y,not_subclass_element(unordered_pair(x,y),unordered_pair(y,x))),unordered_pair(y,x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g26,plain,
( ~ member(y,universal_class)
| member(y,unordered_pair(y,x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair2)]) ).
cnf(g27,plain,
( ~ sPE(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)))
| ~ sPE(unordered_pair(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),y),unordered_pair(x,y))
| ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),y))
| member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(x,y)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
( ~ sPE(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),y)
| ~ sPE(unordered_pair(x,y),unordered_pair(x,y))
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(x,y))
| member(y,unordered_pair(x,y)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g29,plain,
( ~ member(ordered_pair(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),not_subclass_element(unordered_pair(x,y),unordered_pair(y,x))),cross_product(unordered_pair(x,y),unordered_pair(x,y)))
| member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),universal_class) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_to_cartesian_product)]) ).
cnf(g30,plain,
( ~ member(y,unordered_pair(x,y))
| ~ member(y,complement(unordered_pair(x,y))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement1)]) ).
cnf(g31,plain,
( ~ member(y,unordered_pair(y,x))
| ~ member(y,complement(unordered_pair(y,x))) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement1)]) ).
cnf(g32,plain,
( ~ sPE(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),y)
| ~ sPE(complement(unordered_pair(y,x)),complement(unordered_pair(y,x)))
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),complement(unordered_pair(y,x)))
| member(y,complement(unordered_pair(y,x))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g33,plain,
sPE(complement(unordered_pair(y,x)),complement(unordered_pair(y,x))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g34,plain,
( ~ subclass(unordered_pair(x,y),universal_class)
| ~ member(y,unordered_pair(x,y))
| member(y,universal_class) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g35,plain,
sPE(universal_class,universal_class),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g36,plain,
( ~ sPE(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),y)
| ~ sPE(complement(unordered_pair(x,y)),complement(unordered_pair(x,y)))
| ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),complement(unordered_pair(x,y)))
| member(y,complement(unordered_pair(x,y))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g37,plain,
sPE(complement(unordered_pair(x,y)),complement(unordered_pair(x,y))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g38,plain,
( ~ sPE(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),y)
| ~ sPE(universal_class,universal_class)
| ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),universal_class)
| member(y,universal_class) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET066-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.14 % Command : satcop --statistics %s
% 0.14/0.35 % Computer : n006.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 : Sun Jul 10 17:40:05 EDT 2022
% 0.14/0.35 % CPUTime :
% 2.07/0.65 % symbols: 51
% 2.07/0.65 % clauses: 150
% 2.07/0.65 % start clauses: 1
% 2.07/0.65 % iterative deepening steps: 598
% 2.07/0.65 % maximum path limit: 4
% 2.07/0.65 % literal attempts: 327124
% 2.07/0.65 % depth failures: 258723
% 2.07/0.65 % regularity failures: 11789
% 2.07/0.65 % tautology failures: 10210
% 2.07/0.65 % reductions: 22427
% 2.07/0.65 % extensions: 304561
% 2.07/0.65 % SAT variables: 57427
% 2.07/0.65 % SAT clauses: 66421
% 2.07/0.66 % WalkSAT solutions: 66409
% 2.07/0.66 % CDCL solutions: 7
% 2.07/0.66 % SZS status Unsatisfiable for theBenchmark
% 2.07/0.66 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------