TSTP Solution File: SET066-6 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET066-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n011.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 26.08s 3.68s
% Output : Proof 26.08s
% 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,
( ~ subclass(unordered_pair(y,x),unordered_pair(x,y))
| ~ subclass(unordered_pair(x,y),unordered_pair(y,x))
| sPE(unordered_pair(y,x),unordered_pair(x,y)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_implies_equal)]) ).
cnf(g3,plain,
( ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,x))
| subclass(unordered_pair(x,y),unordered_pair(y,x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).
cnf(g4,plain,
( subclass(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('Axioms/SET004-0.ax',not_subclass_members1)]) ).
cnf(g5,plain,
( ~ member(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),unordered_pair(x,y))
| subclass(unordered_pair(y,x),unordered_pair(x,y)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).
cnf(g6,plain,
( subclass(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('Axioms/SET004-0.ax',not_subclass_members1)]) ).
cnf(g7,plain,
( ~ subclass(y,y)
| ~ subclass(y,y)
| sPE(y,y) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_implies_equal)]) ).
cnf(g8,plain,
( subclass(y,y)
| member(not_subclass_element(y,y),y) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members1)]) ).
cnf(g9,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(g10,plain,
sPE(x,x),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g11,plain,
sPE(unordered_pair(x,y),unordered_pair(x,y)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g12,plain,
( ~ member(not_subclass_element(y,y),y)
| subclass(y,y) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',not_subclass_members2)]) ).
cnf(g13,plain,
sPE(unordered_pair(y,x),unordered_pair(y,x)),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g14,plain,
subclass(unordered_pair(y,x),universal_class),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).
cnf(g15,plain,
sPE(universal_class,universal_class),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g16,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(g17,plain,
( ~ sPE(x,not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)))
| ~ sPE(unordered_pair(y,x),unordered_pair(y,x))
| ~ member(x,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(g18,plain,
( ~ member(x,universal_class)
| member(x,unordered_pair(y,x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair3)]) ).
cnf(g19,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(g20,plain,
( ~ sPE(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),y)
| sPE(y,not_subclass_element(unordered_pair(x,y),unordered_pair(y,x))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g21,plain,
( ~ sPE(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),x)
| ~ 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(x,unordered_pair(x,y)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g22,plain,
( ~ sPE(not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)),y)
| sPE(y,not_subclass_element(unordered_pair(y,x),unordered_pair(x,y))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g23,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(g24,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(g25,plain,
( ~ subclass(unordered_pair(y,x),universal_class)
| ~ 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)),universal_class) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g26,plain,
subclass(unordered_pair(x,y),universal_class),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).
cnf(g27,plain,
( ~ sPE(y,not_subclass_element(unordered_pair(y,x),unordered_pair(x,y)))
| ~ sPE(unordered_pair(x,y),unordered_pair(x,y))
| ~ member(y,unordered_pair(x,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,
( ~ subclass(unordered_pair(x,y),universal_class)
| ~ 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)),universal_class) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g29,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(g30,plain,
( ~ subclass(unordered_pair(x,y),universal_class)
| ~ member(x,unordered_pair(x,y))
| member(x,universal_class) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g31,plain,
( ~ member(y,universal_class)
| member(y,unordered_pair(x,y)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair3)]) ).
cnf(g32,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)]) ).
cnf(g33,plain,
( ~ sPE(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),x)
| sPE(x,not_subclass_element(unordered_pair(x,y),unordered_pair(y,x))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g34,plain,
( ~ subclass(unordered_pair(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),x),unordered_pair(y,x))
| ~ member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),x))
| member(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),unordered_pair(y,x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).
cnf(g35,plain,
( ~ sPE(unordered_pair(y,x),unordered_pair(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),x))
| subclass(unordered_pair(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),x),unordered_pair(y,x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',equal_implies_subclass2)]) ).
cnf(g36,plain,
( ~ sPE(y,not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)))
| ~ sPE(x,x)
| sPE(unordered_pair(y,x),unordered_pair(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),x)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g37,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(not_subclass_element(unordered_pair(x,y),unordered_pair(y,x)),x)) ),
inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair2)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET066-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 18:21:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 26.08/3.68 % symbols: 51
% 26.08/3.68 % clauses: 134
% 26.08/3.68 % start clauses: 1
% 26.08/3.68 % iterative deepening steps: 1890
% 26.08/3.68 % maximum path limit: 6
% 26.08/3.68 % literal attempts: 1154349
% 26.08/3.68 % depth failures: 920273
% 26.08/3.68 % regularity failures: 47880
% 26.08/3.68 % tautology failures: 26036
% 26.08/3.68 % reductions: 43308
% 26.08/3.68 % extensions: 1110913
% 26.08/3.68 % SAT variables: 352092
% 26.08/3.68 % SAT clauses: 408423
% 26.08/3.68 % WalkSAT solutions: 408041
% 26.08/3.68 % CDCL solutions: 375
% 26.08/3.68 % SZS status Unsatisfiable for theBenchmark
% 26.08/3.68 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------