%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : NUM602+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 17:36:17 EDT 2024
% Result : Theorem 1.64s 1.83s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 42 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 40 ( 16 ~; 11 |; 12 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 7 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__5009,plain,
aElementOf0(xx,xO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5009) ).
cnf(c27,plain,
aElementOf0(xx,xO),
inference(split_conjunct,[status(thm)],[m__5009]) ).
fof(m__4982,plain,
! [W0] :
( aElementOf0(W0,xO)
=> ? [W1] :
( aElementOf0(W1,szNzAzT0)
& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,W1) = W0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4982) ).
fof(c28,plain,
! [W0] :
( ~ aElementOf0(W0,xO)
| ? [W1] :
( aElementOf0(W1,szNzAzT0)
& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,W1) = W0 ) ),
inference(fof_nnf,[status(thm)],[m__4982]) ).
fof(c29,plain,
! [X3] :
( ~ aElementOf0(X3,xO)
| ? [X4] :
( aElementOf0(X4,szNzAzT0)
& aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X4) = X3 ) ),
inference(variable_rename,[status(thm)],[c28]) ).
fof(c30,plain,
! [X3] :
( ~ aElementOf0(X3,xO)
| ( aElementOf0(skolem0001(X3),szNzAzT0)
& aElementOf0(skolem0001(X3),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,skolem0001(X3)) = X3 ) ),
inference(skolemize,[status(esa)],[c29]) ).
fof(c31,plain,
! [X3] :
( ( ~ aElementOf0(X3,xO)
| aElementOf0(skolem0001(X3),szNzAzT0) )
& ( ~ aElementOf0(X3,xO)
| aElementOf0(skolem0001(X3),sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( ~ aElementOf0(X3,xO)
| sdtlpdtrp0(xe,skolem0001(X3)) = X3 ) ),
inference(distribute,[status(thm)],[c30]) ).
cnf(c32,plain,
( ~ aElementOf0(X300,xO)
| aElementOf0(skolem0001(X300),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c31]) ).
cnf(c862,plain,
aElementOf0(skolem0001(xx),szNzAzT0),
inference(resolution,[status(thm)],[c32,c27]) ).
fof(m__,conjecture,
? [W0] :
( aElementOf0(W0,szNzAzT0)
& sdtlpdtrp0(xe,W0) = xx ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(c23,negated_conjecture,
~ ? [W0] :
( aElementOf0(W0,szNzAzT0)
& sdtlpdtrp0(xe,W0) = xx ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c24,negated_conjecture,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| sdtlpdtrp0(xe,W0) != xx ),
inference(fof_nnf,[status(thm)],[c23]) ).
fof(c25,negated_conjecture,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| sdtlpdtrp0(xe,X2) != xx ),
inference(variable_rename,[status(thm)],[c24]) ).
cnf(c26,negated_conjecture,
( ~ aElementOf0(X299,szNzAzT0)
| sdtlpdtrp0(xe,X299) != xx ),
inference(split_conjunct,[status(thm)],[c25]) ).
cnf(c34,plain,
( ~ aElementOf0(X304,xO)
| sdtlpdtrp0(xe,skolem0001(X304)) = X304 ),
inference(split_conjunct,[status(thm)],[c31]) ).
cnf(c881,plain,
sdtlpdtrp0(xe,skolem0001(xx)) = xx,
inference(resolution,[status(thm)],[c34,c27]) ).
cnf(c3699,plain,
~ aElementOf0(skolem0001(xx),szNzAzT0),
inference(resolution,[status(thm)],[c881,c26]) ).
cnf(c3713,plain,
$false,
inference(resolution,[status(thm)],[c3699,c862]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM602+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n003.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 17:01:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 1.64/1.83 % Version: 1.5
% 1.64/1.83 % SZS status Theorem
% 1.64/1.83 % SZS output start CNFRefutation
% See solution above
% 1.64/1.83
% 1.64/1.83 % Initial clauses : 227
% 1.64/1.83 % Processed clauses : 480
% 1.64/1.83 % Factors computed : 9
% 1.64/1.83 % Resolvents computed: 3217
% 1.64/1.83 % Tautologies deleted: 12
% 1.64/1.83 % Forward subsumed : 122
% 1.64/1.83 % Backward subsumed : 20
% 1.64/1.83 % -------- CPU Time ---------
% 1.64/1.83 % User time : 1.403 s
% 1.64/1.83 % System time : 0.029 s
% 1.64/1.83 % Total time : 1.432 s
%------------------------------------------------------------------------------