%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM472+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:20:07 PM UTC 2026
% Result : Theorem 26.25s 3.75s
% Output : Proof 26.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 26 ( 5 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 25 ( 10 ~; 5 |; 10 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f33,hypothesis,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
fof(f33_nnf,plain,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c59,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
fof(f38,conjecture,
( sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ? [W0] :
( sdtpldt0(xm,W0) = sdtpldt0(xm,xn)
& aNaturalNumber0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f38_neg,negated_conjecture,
~ ( sdtlseqdt0(xm,sdtpldt0(xm,xn))
| ? [W0] :
( sdtpldt0(xm,W0) = sdtpldt0(xm,xn)
& aNaturalNumber0(W0) ) ),
inference(negated_conjecture,[status(cth)],[f38]) ).
fof(f38_nnf,plain,
( ~ sdtlseqdt0(xm,sdtpldt0(xm,xn))
& ! [W0] :
( sdtpldt0(xm,W0) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(W0) ) ),
inference(nnf_transformation,[status(thm)],[f38_neg]) ).
fof(f38_sk,plain,
! [W0] :
( ~ sdtlseqdt0(xm,sdtpldt0(xm,xn))
& ( sdtpldt0(xm,W0) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(W0) ) ),
inference(skolemisation,[status(esa)],[f38_nnf]) ).
cnf(c73,plain,
( sdtpldt0(xm,X0) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(p75,plain,
~ aNaturalNumber0(xn),
inference(equality_resolution,[status(thm)],[c73]) ).
cnf(p81,plain,
$false,
inference(resolution,[status(thm)],[c59,p75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM472+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 04:09:37 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 26.25/3.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.25/3.75 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------