%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : PHI011+1 : TPTP v8.1.2. Released v7.2.0.
% 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 17:37:16 EDT 2024
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 70 ( 5 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 77 ( 26 ~; 21 |; 20 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 27 ( 0 sgn 13 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(description_theorem_2,conjecture,
! [F] :
( property(F)
=> ( ? [Y] :
( object(Y)
& is_the(Y,F) )
=> ! [Z] :
( object(Z)
=> ( is_the(Z,F)
=> exemplifies_property(F,Z) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_theorem_2) ).
fof(c4,negated_conjecture,
~ ! [F] :
( property(F)
=> ( ? [Y] :
( object(Y)
& is_the(Y,F) )
=> ! [Z] :
( object(Z)
=> ( is_the(Z,F)
=> exemplifies_property(F,Z) ) ) ) ),
inference(assume_negation,[status(cth)],[description_theorem_2]) ).
fof(c5,negated_conjecture,
? [F] :
( property(F)
& ? [Y] :
( object(Y)
& is_the(Y,F) )
& ? [Z] :
( object(Z)
& is_the(Z,F)
& ~ exemplifies_property(F,Z) ) ),
inference(fof_nnf,[status(thm)],[c4]) ).
fof(c6,negated_conjecture,
? [X2] :
( property(X2)
& ? [X3] :
( object(X3)
& is_the(X3,X2) )
& ? [X4] :
( object(X4)
& is_the(X4,X2)
& ~ exemplifies_property(X2,X4) ) ),
inference(variable_rename,[status(thm)],[c5]) ).
fof(c7,negated_conjecture,
( property(skolem0001)
& object(skolem0002)
& is_the(skolem0002,skolem0001)
& object(skolem0003)
& is_the(skolem0003,skolem0001)
& ~ exemplifies_property(skolem0001,skolem0003) ),
inference(skolemize,[status(esa)],[c6]) ).
cnf(c13,negated_conjecture,
~ exemplifies_property(skolem0001,skolem0003),
inference(split_conjunct,[status(thm)],[c7]) ).
cnf(c11,negated_conjecture,
object(skolem0003),
inference(split_conjunct,[status(thm)],[c7]) ).
cnf(c8,negated_conjecture,
property(skolem0001),
inference(split_conjunct,[status(thm)],[c7]) ).
cnf(c12,negated_conjecture,
is_the(skolem0003,skolem0001),
inference(split_conjunct,[status(thm)],[c7]) ).
cnf(reflexivity,axiom,
X13 = X13,
theory(equality) ).
fof(lemma_1,axiom,
! [X,F,Y] :
( ( object(X)
& property(F)
& object(Y) )
=> ( ( is_the(X,F)
& X = Y )
=> exemplifies_property(F,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1) ).
fof(c14,plain,
! [X,F,Y] :
( ~ object(X)
| ~ property(F)
| ~ object(Y)
| ~ is_the(X,F)
| X != Y
| exemplifies_property(F,Y) ),
inference(fof_nnf,[status(thm)],[lemma_1]) ).
fof(c15,plain,
! [X5,X6,X7] :
( ~ object(X5)
| ~ property(X6)
| ~ object(X7)
| ~ is_the(X5,X6)
| X5 != X7
| exemplifies_property(X6,X7) ),
inference(variable_rename,[status(thm)],[c14]) ).
cnf(c16,plain,
( ~ object(X50)
| ~ property(X48)
| ~ object(X49)
| ~ is_the(X50,X48)
| X50 != X49
| exemplifies_property(X48,X49) ),
inference(split_conjunct,[status(thm)],[c15]) ).
cnf(c44,plain,
( ~ object(X56)
| ~ property(X55)
| ~ is_the(X56,X55)
| exemplifies_property(X55,X56) ),
inference(resolution,[status(thm)],[c16,reflexivity]) ).
cnf(c49,plain,
( ~ object(skolem0003)
| ~ property(skolem0001)
| exemplifies_property(skolem0001,skolem0003) ),
inference(resolution,[status(thm)],[c44,c12]) ).
cnf(c55,plain,
( ~ object(skolem0003)
| exemplifies_property(skolem0001,skolem0003) ),
inference(resolution,[status(thm)],[c49,c8]) ).
cnf(c56,plain,
exemplifies_property(skolem0001,skolem0003),
inference(resolution,[status(thm)],[c55,c11]) ).
cnf(c59,plain,
$false,
inference(resolution,[status(thm)],[c56,c13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : PHI011+1 : TPTP v8.1.2. Released v7.2.0.
% 0.13/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n018.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 22:29:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % Version: 1.5
% 0.20/0.55 % SZS status Theorem
% 0.20/0.55 % SZS output start CNFRefutation
% See solution above
% 0.20/0.55
% 0.20/0.55 % Initial clauses : 19
% 0.20/0.55 % Processed clauses : 31
% 0.20/0.55 % Factors computed : 1
% 0.20/0.55 % Resolvents computed: 29
% 0.20/0.55 % Tautologies deleted: 4
% 0.20/0.55 % Forward subsumed : 9
% 0.20/0.56 % Backward subsumed : 4
% 0.20/0.56 % -------- CPU Time ---------
% 0.20/0.56 % User time : 0.189 s
% 0.20/0.56 % System time : 0.009 s
% 0.20/0.56 % Total time : 0.199 s
%------------------------------------------------------------------------------