%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM625+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n002.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 02:20:34 PM UTC 2026
% Result : Theorem 15.18s 7.37s
% Output : Proof 15.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 32 ( 13 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 26 ( 8 ~; 2 |; 15 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f119,hypothesis,
xp = xx,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5496) ).
fof(f119_nnf,plain,
xp = xx,
inference(nnf_transformation,[status(thm)],[f119]) ).
cnf(c1111,plain,
xp = xx,
inference(cnf_transformation,[status(esa)],[f119_nnf]) ).
fof(f102,hypothesis,
( xp = szmzizndt0(xQ)
& ! [W0] :
( aElementOf0(W0,xQ)
=> sdtlseqdt0(xp,W0) )
& aElementOf0(xp,xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
fof(f102_nnf,plain,
( xp = szmzizndt0(xQ)
& ! [W0] :
( sdtlseqdt0(xp,W0)
| ~ aElementOf0(W0,xQ) )
& aElementOf0(xp,xQ) ),
inference(nnf_transformation,[status(thm)],[f102]) ).
fof(f102_sk,plain,
! [W0] :
( xp = szmzizndt0(xQ)
& ( sdtlseqdt0(xp,W0)
| ~ aElementOf0(W0,xQ) )
& aElementOf0(xp,xQ) ),
inference(skolemisation,[status(esa)],[f102_nnf]) ).
cnf(c1071,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[status(esa)],[f102_sk]) ).
fof(f112,hypothesis,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5348) ).
fof(f112_nnf,plain,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
inference(nnf_transformation,[status(thm)],[f112]) ).
fof(f112_sk,plain,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
inference(skolemisation,[status(esa)],[f112_nnf]) ).
cnf(c1096,plain,
xx != szmzizndt0(xQ),
inference(cnf_transformation,[status(esa)],[f112_sk]) ).
cnf(p1069,plain,
xx != xp,
inference(superposition,[status(thm)],[c1071,c1096]) ).
cnf(p1070,plain,
xp != xp,
inference(superposition,[status(thm)],[c1111,p1069]) ).
cnf(p1071,plain,
$false,
inference(equality_resolution,[status(thm)],[p1070]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM625+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/5.38 % Computer : n002.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Thu Sep 24 05:01:40 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 15.18/7.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.18/7.37 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------