%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : NUM464+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 17:35:53 EDT 2024
% Result : Theorem 3.97s 4.15s
% Output : Refutation 3.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 7 unt; 0 def)
% Number of atoms : 64 ( 29 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 64 ( 25 ~; 29 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 17 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( xm != sz00
=> sdtlseqdt0(sz10,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(c5,negated_conjecture,
~ ( xm != sz00
=> sdtlseqdt0(sz10,xm) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c6,negated_conjecture,
( xm != sz00
& ~ sdtlseqdt0(sz10,xm) ),
inference(fof_nnf,[status(thm)],[c5]) ).
cnf(c8,negated_conjecture,
~ sdtlseqdt0(sz10,xm),
inference(split_conjunct,[status(thm)],[c6]) ).
cnf(reflexivity,axiom,
X55 = X55,
theory(equality) ).
fof(m__987,plain,
( aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__987) ).
cnf(c9,plain,
aNaturalNumber0(xm),
inference(split_conjunct,[status(thm)],[m__987]) ).
fof(mLERefl,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> sdtlseqdt0(W0,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).
fof(c42,plain,
! [W0] :
( ~ aNaturalNumber0(W0)
| sdtlseqdt0(W0,W0) ),
inference(fof_nnf,[status(thm)],[mLERefl]) ).
fof(c43,plain,
! [X16] :
( ~ aNaturalNumber0(X16)
| sdtlseqdt0(X16,X16) ),
inference(variable_rename,[status(thm)],[c42]) ).
cnf(c44,plain,
( ~ aNaturalNumber0(X62)
| sdtlseqdt0(X62,X62) ),
inference(split_conjunct,[status(thm)],[c43]) ).
cnf(c126,plain,
sdtlseqdt0(xm,xm),
inference(resolution,[status(thm)],[c44,c9]) ).
cnf(c4,axiom,
( X85 != X83
| X82 != X84
| ~ sdtlseqdt0(X85,X82)
| sdtlseqdt0(X83,X84) ),
theory(equality) ).
cnf(c189,plain,
( xm != X279
| xm != X278
| sdtlseqdt0(X279,X278) ),
inference(resolution,[status(thm)],[c4,c126]) ).
cnf(c7553,plain,
( xm != X281
| sdtlseqdt0(X281,xm) ),
inference(resolution,[status(thm)],[c189,reflexivity]) ).
cnf(c7,negated_conjecture,
xm != sz00,
inference(split_conjunct,[status(thm)],[c6]) ).
fof(mLENTr,axiom,
! [W0] :
( aNaturalNumber0(W0)
=> ( W0 = sz00
| W0 = sz10
| ( sz10 != W0
& sdtlseqdt0(sz10,W0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
fof(c11,plain,
! [W0] :
( ~ aNaturalNumber0(W0)
| W0 = sz00
| W0 = sz10
| ( sz10 != W0
& sdtlseqdt0(sz10,W0) ) ),
inference(fof_nnf,[status(thm)],[mLENTr]) ).
fof(c12,plain,
! [X2] :
( ~ aNaturalNumber0(X2)
| X2 = sz00
| X2 = sz10
| ( sz10 != X2
& sdtlseqdt0(sz10,X2) ) ),
inference(variable_rename,[status(thm)],[c11]) ).
fof(c13,plain,
! [X2] :
( ( ~ aNaturalNumber0(X2)
| X2 = sz00
| X2 = sz10
| sz10 != X2 )
& ( ~ aNaturalNumber0(X2)
| X2 = sz00
| X2 = sz10
| sdtlseqdt0(sz10,X2) ) ),
inference(distribute,[status(thm)],[c12]) ).
cnf(c15,plain,
( ~ aNaturalNumber0(X88)
| X88 = sz00
| X88 = sz10
| sdtlseqdt0(sz10,X88) ),
inference(split_conjunct,[status(thm)],[c13]) ).
cnf(c233,plain,
( xm = sz00
| xm = sz10
| sdtlseqdt0(sz10,xm) ),
inference(resolution,[status(thm)],[c15,c9]) ).
cnf(c11144,plain,
( xm = sz10
| sdtlseqdt0(sz10,xm) ),
inference(resolution,[status(thm)],[c233,c7]) ).
cnf(c11816,plain,
sdtlseqdt0(sz10,xm),
inference(resolution,[status(thm)],[c11144,c7553]) ).
cnf(c11851,plain,
$false,
inference(resolution,[status(thm)],[c11816,c8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM464+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n025.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 15:56:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 3.97/4.15 % Version: 1.5
% 3.97/4.15 % SZS status Theorem
% 3.97/4.15 % SZS output start CNFRefutation
% See solution above
% 3.97/4.15
% 3.97/4.15 % Initial clauses : 58
% 3.97/4.15 % Processed clauses : 534
% 3.97/4.15 % Factors computed : 23
% 3.97/4.15 % Resolvents computed: 11709
% 3.97/4.15 % Tautologies deleted: 4
% 3.97/4.15 % Forward subsumed : 118
% 3.97/4.15 % Backward subsumed : 10
% 3.97/4.15 % -------- CPU Time ---------
% 3.97/4.15 % User time : 3.769 s
% 3.97/4.15 % System time : 0.027 s
% 3.97/4.15 % Total time : 3.796 s
%------------------------------------------------------------------------------