%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET599+3 : TPTP v8.1.2. Released v2.2.0.
% 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 17:39:48 EDT 2024
% Result : Theorem 0.47s 0.66s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 16 unt; 0 def)
% Number of atoms : 27 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 12 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 38 ( 2 sgn 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th58,conjecture,
! [B,C] : subset(difference(B,C),symmetric_difference(B,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th58) ).
fof(c5,negated_conjecture,
~ ! [B,C] : subset(difference(B,C),symmetric_difference(B,C)),
inference(assume_negation,[status(cth)],[prove_th58]) ).
fof(c6,negated_conjecture,
? [B,C] : ~ subset(difference(B,C),symmetric_difference(B,C)),
inference(fof_nnf,[status(thm)],[c5]) ).
fof(c7,negated_conjecture,
? [X2,X3] : ~ subset(difference(X2,X3),symmetric_difference(X2,X3)),
inference(variable_rename,[status(thm)],[c6]) ).
fof(c8,negated_conjecture,
~ subset(difference(skolem0001,skolem0002),symmetric_difference(skolem0001,skolem0002)),
inference(skolemize,[status(esa)],[c7]) ).
cnf(c9,negated_conjecture,
~ subset(difference(skolem0001,skolem0002),symmetric_difference(skolem0001,skolem0002)),
inference(split_conjunct,[status(thm)],[c8]) ).
cnf(reflexivity,axiom,
X32 = X32,
theory(equality) ).
fof(subset_of_union,axiom,
! [B,C] : subset(B,union(B,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_of_union) ).
fof(c44,plain,
! [X28,X29] : subset(X28,union(X28,X29)),
inference(variable_rename,[status(thm)],[subset_of_union]) ).
cnf(c45,plain,
subset(X35,union(X35,X34)),
inference(split_conjunct,[status(thm)],[c44]) ).
cnf(c3,axiom,
( X100 != X98
| X97 != X99
| ~ subset(X100,X97)
| subset(X98,X99) ),
theory(equality) ).
cnf(c80,plain,
( X196 != X198
| union(X196,X197) != X199
| subset(X198,X199) ),
inference(resolution,[status(thm)],[c3,c45]) ).
cnf(symmetry,axiom,
( X36 != X37
| X37 = X36 ),
theory(equality) ).
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(c46,plain,
! [X30,X31] : symmetric_difference(X30,X31) = union(difference(X30,X31),difference(X31,X30)),
inference(variable_rename,[status(thm)],[symmetric_difference_defn]) ).
cnf(c47,plain,
symmetric_difference(X163,X162) = union(difference(X163,X162),difference(X162,X163)),
inference(split_conjunct,[status(thm)],[c46]) ).
cnf(c153,plain,
union(difference(X313,X314),difference(X314,X313)) = symmetric_difference(X313,X314),
inference(resolution,[status(thm)],[c47,symmetry]) ).
cnf(c446,plain,
( difference(X324,X325) != X326
| subset(X326,symmetric_difference(X324,X325)) ),
inference(resolution,[status(thm)],[c153,c80]) ).
cnf(c491,plain,
subset(difference(X328,X327),symmetric_difference(X328,X327)),
inference(resolution,[status(thm)],[c446,reflexivity]) ).
cnf(c492,plain,
$false,
inference(resolution,[status(thm)],[c491,c9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET599+3 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n015.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
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 19:14:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.47/0.66 % Version: 1.5
% 0.47/0.66 % SZS status Theorem
% 0.47/0.66 % SZS output start CNFRefutation
% See solution above
% 0.47/0.66
% 0.47/0.66 % Initial clauses : 24
% 0.47/0.66 % Processed clauses : 81
% 0.47/0.66 % Factors computed : 8
% 0.47/0.66 % Resolvents computed: 439
% 0.47/0.66 % Tautologies deleted: 2
% 0.47/0.66 % Forward subsumed : 35
% 0.47/0.66 % Backward subsumed : 0
% 0.47/0.66 % -------- CPU Time ---------
% 0.47/0.66 % User time : 0.279 s
% 0.47/0.66 % System time : 0.019 s
% 0.47/0.66 % Total time : 0.298 s
%------------------------------------------------------------------------------