%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET618+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 17:39:51 EDT 2024
% Result : Theorem 0.49s 0.66s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 18 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 9 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th93,conjecture,
! [B] : symmetric_difference(B,B) = empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th93) ).
fof(c6,negated_conjecture,
~ ! [B] : symmetric_difference(B,B) = empty_set,
inference(assume_negation,[status(cth)],[prove_th93]) ).
fof(c7,negated_conjecture,
? [B] : symmetric_difference(B,B) != empty_set,
inference(fof_nnf,[status(thm)],[c6]) ).
fof(c8,negated_conjecture,
? [X2] : symmetric_difference(X2,X2) != empty_set,
inference(variable_rename,[status(thm)],[c7]) ).
fof(c9,negated_conjecture,
symmetric_difference(skolem0001,skolem0001) != empty_set,
inference(skolemize,[status(esa)],[c8]) ).
cnf(c10,negated_conjecture,
symmetric_difference(skolem0001,skolem0001) != empty_set,
inference(split_conjunct,[status(thm)],[c9]) ).
fof(idempotency_of_union,axiom,
! [B] : union(B,B) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotency_of_union) ).
fof(c57,plain,
! [X31] : union(X31,X31) = X31,
inference(variable_rename,[status(thm)],[idempotency_of_union]) ).
cnf(c58,plain,
union(X39,X39) = X39,
inference(split_conjunct,[status(thm)],[c57]) ).
cnf(transitivity,axiom,
( X48 != X50
| X50 != X49
| X48 = X49 ),
theory(equality) ).
cnf(c69,plain,
( X142 != union(X141,X141)
| X142 = X141 ),
inference(resolution,[status(thm)],[transitivity,c58]) ).
fof(symmetric_difference_defn,axiom,
! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric_difference_defn) ).
fof(c59,plain,
! [X32,X33] : symmetric_difference(X32,X33) = union(difference(X32,X33),difference(X33,X32)),
inference(variable_rename,[status(thm)],[symmetric_difference_defn]) ).
cnf(c60,plain,
symmetric_difference(X163,X162) = union(difference(X163,X162),difference(X162,X163)),
inference(split_conjunct,[status(thm)],[c59]) ).
cnf(c241,plain,
symmetric_difference(X165,X165) = difference(X165,X165),
inference(resolution,[status(thm)],[c60,c69]) ).
fof(self_difference_is_empty_set,axiom,
! [B] : difference(B,B) = empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',self_difference_is_empty_set) ).
fof(c55,plain,
! [X30] : difference(X30,X30) = empty_set,
inference(variable_rename,[status(thm)],[self_difference_is_empty_set]) ).
cnf(c56,plain,
difference(X62,X62) = empty_set,
inference(split_conjunct,[status(thm)],[c55]) ).
cnf(c78,plain,
( X197 != difference(X196,X196)
| X197 = empty_set ),
inference(resolution,[status(thm)],[c56,transitivity]) ).
cnf(c343,plain,
symmetric_difference(X199,X199) = empty_set,
inference(resolution,[status(thm)],[c78,c241]) ).
cnf(c350,plain,
$false,
inference(resolution,[status(thm)],[c343,c10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SET618+3 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 18:43:37 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.49/0.66 % Version: 1.5
% 0.49/0.66 % SZS status Theorem
% 0.49/0.66 % SZS output start CNFRefutation
% See solution above
% 0.49/0.66
% 0.49/0.66 % Initial clauses : 29
% 0.49/0.66 % Processed clauses : 64
% 0.49/0.66 % Factors computed : 7
% 0.49/0.66 % Resolvents computed: 294
% 0.49/0.66 % Tautologies deleted: 4
% 0.49/0.66 % Forward subsumed : 55
% 0.49/0.66 % Backward subsumed : 3
% 0.49/0.66 % -------- CPU Time ---------
% 0.49/0.66 % User time : 0.274 s
% 0.49/0.66 % System time : 0.021 s
% 0.49/0.66 % Total time : 0.294 s
%------------------------------------------------------------------------------