%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET074-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 2.73s 2.96s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 22 ( 11 unt; 3 nHn; 17 RR)
% Number of literals : 35 ( 8 equ; 12 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_corollary_to_unordered_pair_axiom2_1,negated_conjecture,
member(y,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom2_1) ).
cnf(complement1,axiom,
( ~ member(X59,complement(X60))
| ~ member(X59,X60) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(subclass_members,axiom,
( ~ subclass(X4,X6)
| ~ member(X5,X4)
| member(X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(equal_implies_subclass1,axiom,
( X9 != X10
| subclass(X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).
cnf(prove_corollary_to_unordered_pair_axiom2_2,negated_conjecture,
unordered_pair(x,y) = null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom2_2) ).
cnf(c88,plain,
subclass(unordered_pair(x,y),null_class),
inference(resolution,[status(thm)],[prove_corollary_to_unordered_pair_axiom2_2,equal_implies_subclass1]) ).
cnf(unordered_pair3,axiom,
( ~ member(X56,universal_class)
| member(X56,unordered_pair(X55,X56)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).
cnf(c71,plain,
member(y,unordered_pair(X57,y)),
inference(resolution,[status(thm)],[unordered_pair3,prove_corollary_to_unordered_pair_axiom2_1]) ).
cnf(c76,plain,
( ~ subclass(unordered_pair(X386,y),X387)
| member(y,X387) ),
inference(resolution,[status(thm)],[c71,subclass_members]) ).
cnf(c2018,plain,
member(y,null_class),
inference(resolution,[status(thm)],[c76,c88]) ).
cnf(c2052,plain,
( ~ subclass(null_class,X393)
| member(y,X393) ),
inference(resolution,[status(thm)],[c2018,subclass_members]) ).
cnf(equal_implies_subclass2,axiom,
( X14 != X15
| subclass(X15,X14) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',equal_implies_subclass2) ).
cnf(class_elements_are_sets,axiom,
subclass(X3,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(regularity1,axiom,
( X125 = null_class
| member(regular(X125),X125) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c218,plain,
( X850 = null_class
| ~ subclass(X850,X851)
| member(regular(X850),X851) ),
inference(resolution,[status(thm)],[regularity1,subclass_members]) ).
cnf(c7768,plain,
( X853 = null_class
| member(regular(X853),universal_class) ),
inference(resolution,[status(thm)],[c218,class_elements_are_sets]) ).
cnf(c219,plain,
( complement(X856) = null_class
| ~ member(regular(complement(X856)),X856) ),
inference(resolution,[status(thm)],[regularity1,complement1]) ).
cnf(c7997,plain,
complement(universal_class) = null_class,
inference(resolution,[status(thm)],[c219,c7768]) ).
cnf(c8021,plain,
subclass(null_class,complement(universal_class)),
inference(resolution,[status(thm)],[c7997,equal_implies_subclass2]) ).
cnf(c8085,plain,
member(y,complement(universal_class)),
inference(resolution,[status(thm)],[c8021,c2052]) ).
cnf(c8160,plain,
~ member(y,universal_class),
inference(resolution,[status(thm)],[c8085,complement1]) ).
cnf(c8184,plain,
$false,
inference(resolution,[status(thm)],[c8160,prove_corollary_to_unordered_pair_axiom2_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET074-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed May 8 18:15:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 2.73/2.96 % Version: 1.5
% 2.73/2.96 % SZS status Unsatisfiable
% 2.73/2.96 % SZS output start CNFRefutation
% See solution above
% 2.73/2.96
% 2.73/2.96 % Initial clauses : 135
% 2.73/2.96 % Processed clauses : 514
% 2.73/2.96 % Factors computed : 30
% 2.73/2.96 % Resolvents computed: 8117
% 2.73/2.96 % Tautologies deleted: 10
% 2.73/2.96 % Forward subsumed : 314
% 2.73/2.96 % Backward subsumed : 4
% 2.73/2.96 % -------- CPU Time ---------
% 2.73/2.96 % User time : 2.550 s
% 2.73/2.96 % System time : 0.036 s
% 2.73/2.96 % Total time : 2.586 s
%------------------------------------------------------------------------------