%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM618+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n018.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 02:20:33 PM UTC 2026
% Result : Theorem 29.71s 9.48s
% Output : Proof 29.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 38 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 32 ( 13 ~; 7 |; 11 &)
% ( 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 : 12 ( 0 sgn 5 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,hypothesis,
! [W0] :
( aElementOf0(W0,xO)
=> ? [W1] :
( sdtlpdtrp0(xe,W1) = W0
& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(W1,szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4982) ).
fof(f96_nnf,plain,
! [W0] :
( ? [W1] :
( sdtlpdtrp0(xe,W1) = W0
& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(W1,szNzAzT0) )
| ~ aElementOf0(W0,xO) ),
inference(nnf_transformation,[status(thm)],[f96]) ).
fof(f96_sk,plain,
! [W0] :
( ( sdtlpdtrp0(xe,sk24(W0)) = W0
& aElementOf0(sk24(W0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(sk24(W0),szNzAzT0) )
| ~ aElementOf0(W0,xO) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk24])],[f96_nnf]) ).
cnf(c219,plain,
( sdtlpdtrp0(xe,sk24(X0)) = X0
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[status(esa)],[f96_sk]) ).
fof(f113,hypothesis,
( aElementOf0(xx,xO)
& aElementOf0(xx,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5365) ).
fof(f113_nnf,plain,
( aElementOf0(xx,xO)
& aElementOf0(xx,szNzAzT0) ),
inference(nnf_transformation,[status(thm)],[f113]) ).
fof(f113_sk,plain,
( aElementOf0(xx,xO)
& aElementOf0(xx,szNzAzT0) ),
inference(skolemisation,[status(esa)],[f113_nnf]) ).
cnf(c241,plain,
aElementOf0(xx,xO),
inference(cnf_transformation,[status(esa)],[f113_sk]) ).
cnf(p1850,plain,
sdtlpdtrp0(xe,sk24(xx)) = xx,
inference(resolution,[status(thm)],[c219,c241]) ).
cnf(c217,plain,
( aElementOf0(sk24(X0),szNzAzT0)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[status(esa)],[f96_sk]) ).
cnf(p636,plain,
aElementOf0(sk24(xx),szNzAzT0),
inference(resolution,[status(thm)],[c217,c241]) ).
fof(f114,conjecture,
? [W0] :
( xx = sdtlpdtrp0(xe,W0)
& aElementOf0(W0,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f114_neg,negated_conjecture,
~ ? [W0] :
( xx = sdtlpdtrp0(xe,W0)
& aElementOf0(W0,szNzAzT0) ),
inference(negated_conjecture,[status(cth)],[f114]) ).
fof(f114_nnf,plain,
! [W0] :
( xx != sdtlpdtrp0(xe,W0)
| ~ aElementOf0(W0,szNzAzT0) ),
inference(nnf_transformation,[status(thm)],[f114_neg]) ).
fof(f114_sk,plain,
! [W0] :
( xx != sdtlpdtrp0(xe,W0)
| ~ aElementOf0(W0,szNzAzT0) ),
inference(skolemisation,[status(esa)],[f114_nnf]) ).
cnf(c242,plain,
( xx != sdtlpdtrp0(xe,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(esa)],[f114_sk]) ).
cnf(p652,plain,
xx != sdtlpdtrp0(xe,sk24(xx)),
inference(resolution,[status(thm)],[p636,c242]) ).
cnf(p1851,plain,
xx != xx,
inference(demodulation,[status(thm)],[p1850,p652]) ).
cnf(p1852,plain,
$false,
inference(equality_resolution,[status(thm)],[p1851]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM618+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/5.37 % Computer : n018.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Thu Sep 24 04:58:54 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 29.71/9.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.71/9.48 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------