%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SEU303+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 17:41:03 EDT 2024
% Result : Theorem 0.37s 0.55s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 62 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 60 ( 23 ~; 18 |; 12 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 11 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t26_finset_1,conjecture,
! [A] :
( ( relation(A)
& function(A) )
=> ( finite(relation_dom(A))
=> finite(relation_rng(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_finset_1) ).
fof(c6,negated_conjecture,
~ ! [A] :
( ( relation(A)
& function(A) )
=> ( finite(relation_dom(A))
=> finite(relation_rng(A)) ) ),
inference(assume_negation,[status(cth)],[t26_finset_1]) ).
fof(c7,negated_conjecture,
? [A] :
( relation(A)
& function(A)
& finite(relation_dom(A))
& ~ finite(relation_rng(A)) ),
inference(fof_nnf,[status(thm)],[c6]) ).
fof(c8,negated_conjecture,
? [X2] :
( relation(X2)
& function(X2)
& finite(relation_dom(X2))
& ~ finite(relation_rng(X2)) ),
inference(variable_rename,[status(thm)],[c7]) ).
fof(c9,negated_conjecture,
( relation(skolem0001)
& function(skolem0001)
& finite(relation_dom(skolem0001))
& ~ finite(relation_rng(skolem0001)) ),
inference(skolemize,[status(esa)],[c8]) ).
cnf(c13,negated_conjecture,
~ finite(relation_rng(skolem0001)),
inference(split_conjunct,[status(thm)],[c9]) ).
cnf(c10,negated_conjecture,
relation(skolem0001),
inference(split_conjunct,[status(thm)],[c9]) ).
cnf(c11,negated_conjecture,
function(skolem0001),
inference(split_conjunct,[status(thm)],[c9]) ).
cnf(c12,negated_conjecture,
finite(relation_dom(skolem0001)),
inference(split_conjunct,[status(thm)],[c9]) ).
fof(t17_finset_1,axiom,
! [A,B] :
( ( relation(B)
& function(B) )
=> ( finite(A)
=> finite(relation_image(B,A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_finset_1) ).
fof(c14,plain,
! [A,B] :
( ~ relation(B)
| ~ function(B)
| ~ finite(A)
| finite(relation_image(B,A)) ),
inference(fof_nnf,[status(thm)],[t17_finset_1]) ).
fof(c15,plain,
! [X3,X4] :
( ~ relation(X4)
| ~ function(X4)
| ~ finite(X3)
| finite(relation_image(X4,X3)) ),
inference(variable_rename,[status(thm)],[c14]) ).
cnf(c16,plain,
( ~ relation(X42)
| ~ function(X42)
| ~ finite(X43)
| finite(relation_image(X42,X43)) ),
inference(split_conjunct,[status(thm)],[c15]) ).
cnf(c43,plain,
( ~ relation(X51)
| ~ function(X51)
| finite(relation_image(X51,relation_dom(skolem0001))) ),
inference(resolution,[status(thm)],[c16,c12]) ).
cnf(c85,plain,
( ~ relation(skolem0001)
| finite(relation_image(skolem0001,relation_dom(skolem0001))) ),
inference(resolution,[status(thm)],[c43,c11]) ).
cnf(c87,plain,
finite(relation_image(skolem0001,relation_dom(skolem0001))),
inference(resolution,[status(thm)],[c85,c10]) ).
cnf(c3,axiom,
( X20 != X19
| ~ finite(X20)
| finite(X19) ),
theory(equality) ).
fof(t146_relat_1,axiom,
! [A] :
( relation(A)
=> relation_image(A,relation_dom(A)) = relation_rng(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t146_relat_1) ).
fof(c17,plain,
! [A] :
( ~ relation(A)
| relation_image(A,relation_dom(A)) = relation_rng(A) ),
inference(fof_nnf,[status(thm)],[t146_relat_1]) ).
fof(c18,plain,
! [X5] :
( ~ relation(X5)
| relation_image(X5,relation_dom(X5)) = relation_rng(X5) ),
inference(variable_rename,[status(thm)],[c17]) ).
cnf(c19,plain,
( ~ relation(X38)
| relation_image(X38,relation_dom(X38)) = relation_rng(X38) ),
inference(split_conjunct,[status(thm)],[c18]) ).
cnf(c40,plain,
relation_image(skolem0001,relation_dom(skolem0001)) = relation_rng(skolem0001),
inference(resolution,[status(thm)],[c19,c10]) ).
cnf(c49,plain,
( ~ finite(relation_image(skolem0001,relation_dom(skolem0001)))
| finite(relation_rng(skolem0001)) ),
inference(resolution,[status(thm)],[c40,c3]) ).
cnf(c96,plain,
finite(relation_rng(skolem0001)),
inference(resolution,[status(thm)],[c49,c87]) ).
cnf(c108,plain,
$false,
inference(resolution,[status(thm)],[c96,c13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU303+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed May 8 10:58:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.37/0.55 % Version: 1.5
% 0.37/0.55 % SZS status Theorem
% 0.37/0.55 % SZS output start CNFRefutation
% See solution above
% 0.37/0.55
% 0.37/0.55 % Initial clauses : 21
% 0.37/0.55 % Processed clauses : 34
% 0.37/0.55 % Factors computed : 2
% 0.37/0.55 % Resolvents computed: 78
% 0.37/0.55 % Tautologies deleted: 5
% 0.37/0.55 % Forward subsumed : 10
% 0.37/0.55 % Backward subsumed : 3
% 0.37/0.55 % -------- CPU Time ---------
% 0.37/0.55 % User time : 0.190 s
% 0.37/0.55 % System time : 0.010 s
% 0.37/0.55 % Total time : 0.200 s
%------------------------------------------------------------------------------