TSTP Solution File: SET075-6 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET075-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 : 300s
% DateTime : Thu May 9 17:39:06 EDT 2024
% Result : Unsatisfiable 2.70s 2.89s
% Output : Refutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 26 ( 13 unt; 3 nHn; 21 RR)
% Number of literals : 41 ( 8 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 26 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(class_elements_are_sets,axiom,
subclass(X3,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(subclass_members,axiom,
( ~ subclass(X6,X4)
| ~ member(X5,X6)
| member(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(cartesian_product2,axiom,
( ~ member(ordered_pair(X86,X87),cross_product(X85,X84))
| member(X87,X84) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
cnf(prove_corollary_to_unordered_pair_axiom3_1,negated_conjecture,
member(ordered_pair(x,y),cross_product(u,v)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom3_1) ).
cnf(c1653,plain,
member(y,v),
inference(resolution,[status(thm)],[prove_corollary_to_unordered_pair_axiom3_1,cartesian_product2]) ).
cnf(c1662,plain,
( ~ subclass(v,X390)
| member(y,X390) ),
inference(resolution,[status(thm)],[c1653,subclass_members]) ).
cnf(c1821,plain,
member(y,universal_class),
inference(resolution,[status(thm)],[c1662,class_elements_are_sets]) ).
cnf(complement1,axiom,
( ~ member(X55,complement(X54))
| ~ member(X55,X54) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(equal_implies_subclass1,axiom,
( X10 != X9
| subclass(X10,X9) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).
cnf(prove_corollary_to_unordered_pair_axiom3_2,negated_conjecture,
unordered_pair(x,y) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom3_2) ).
cnf(c80,plain,
subclass(unordered_pair(x,y),null_class),
inference(resolution,[status(thm)],[prove_corollary_to_unordered_pair_axiom3_2,equal_implies_subclass1]) ).
cnf(unordered_pair3,axiom,
( ~ member(X56,universal_class)
| member(X56,unordered_pair(X57,X56)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).
cnf(c1831,plain,
member(y,unordered_pair(X396,y)),
inference(resolution,[status(thm)],[c1821,unordered_pair3]) ).
cnf(c1897,plain,
( ~ subclass(unordered_pair(X615,y),X616)
| member(y,X616) ),
inference(resolution,[status(thm)],[c1831,subclass_members]) ).
cnf(c4836,plain,
member(y,null_class),
inference(resolution,[status(thm)],[c1897,c80]) ).
cnf(c4841,plain,
( ~ subclass(null_class,X622)
| member(y,X622) ),
inference(resolution,[status(thm)],[c4836,subclass_members]) ).
cnf(equal_implies_subclass2,axiom,
( X13 != X12
| subclass(X12,X13) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass2) ).
cnf(regularity1,axiom,
( X122 = null_class
| member(regular(X122),X122) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c194,plain,
( complement(X791) = null_class
| ~ member(regular(complement(X791)),X791) ),
inference(resolution,[status(thm)],[regularity1,complement1]) ).
cnf(c198,plain,
( X811 = null_class
| ~ subclass(X811,X812)
| member(regular(X811),X812) ),
inference(resolution,[status(thm)],[regularity1,subclass_members]) ).
cnf(c7360,plain,
( X815 = null_class
| member(regular(X815),universal_class) ),
inference(resolution,[status(thm)],[c198,class_elements_are_sets]) ).
cnf(c7446,plain,
complement(universal_class) = null_class,
inference(resolution,[status(thm)],[c7360,c194]) ).
cnf(c7458,plain,
subclass(null_class,complement(universal_class)),
inference(resolution,[status(thm)],[c7446,equal_implies_subclass2]) ).
cnf(c7553,plain,
member(y,complement(universal_class)),
inference(resolution,[status(thm)],[c7458,c4841]) ).
cnf(c7610,plain,
~ member(y,universal_class),
inference(resolution,[status(thm)],[c7553,complement1]) ).
cnf(c7616,plain,
$false,
inference(resolution,[status(thm)],[c7610,c1821]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET075-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 19:02:08 EDT 2024
% 0.13/0.36 % CPUTime :
% 2.70/2.89 % Version: 1.5
% 2.70/2.89 % SZS status Unsatisfiable
% 2.70/2.89 % SZS output start CNFRefutation
% See solution above
% 2.70/2.89
% 2.70/2.89 % Initial clauses : 135
% 2.70/2.89 % Processed clauses : 527
% 2.70/2.89 % Factors computed : 30
% 2.70/2.89 % Resolvents computed: 7676
% 2.70/2.89 % Tautologies deleted: 11
% 2.70/2.89 % Forward subsumed : 278
% 2.70/2.89 % Backward subsumed : 1
% 2.70/2.89 % -------- CPU Time ---------
% 2.70/2.89 % User time : 2.503 s
% 2.70/2.89 % System time : 0.028 s
% 2.70/2.89 % Total time : 2.531 s
%------------------------------------------------------------------------------