%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM632+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 : n011.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 02:20:35 PM UTC 2026
% Result : Theorem 65.56s 8.76s
% Output : Proof 65.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 12 unt; 0 def)
% Number of atoms : 27 ( 17 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 17 ( 5 ~; 0 |; 12 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f113,hypothesis,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5568) ).
fof(f113_nnf,plain,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
inference(nnf_transformation,[status(thm)],[f113]) ).
cnf(c1096,plain,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
inference(cnf_transformation,[status(esa)],[f113_nnf]) ).
fof(f110,hypothesis,
( sdtlpdtrp0(xe,xn) = xp
& aElementOf0(xn,szNzAzT0)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,szDzozmdt0(xd)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).
fof(f110_nnf,plain,
( sdtlpdtrp0(xe,xn) = xp
& aElementOf0(xn,szNzAzT0)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,szDzozmdt0(xd)) ),
inference(nnf_transformation,[status(thm)],[f110]) ).
fof(f110_sk,plain,
( sdtlpdtrp0(xe,xn) = xp
& aElementOf0(xn,szNzAzT0)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,szDzozmdt0(xd)) ),
inference(skolemisation,[status(esa)],[f110_nnf]) ).
cnf(c1089,plain,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
inference(cnf_transformation,[status(esa)],[f110_sk]) ).
cnf(p3318,plain,
sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd),
inference(superposition,[status(thm)],[c1096,c1089]) ).
fof(f114,conjecture,
sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f114_neg,negated_conjecture,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(negated_conjecture,[status(cth)],[f114]) ).
fof(f114_nnf,plain,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(nnf_transformation,[status(thm)],[f114_neg]) ).
fof(f114_sk,plain,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(skolemisation,[status(esa)],[f114_nnf]) ).
cnf(c1097,plain,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(cnf_transformation,[status(esa)],[f114_sk]) ).
cnf(p3320,plain,
szDzizrdt0(xd) != szDzizrdt0(xd),
inference(demodulation,[status(thm)],[p3318,c1097]) ).
cnf(p3343,plain,
$false,
inference(equality_resolution,[status(thm)],[p3320]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM632+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 05:00:57 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 65.56/8.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 65.56/8.76 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------