%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM632+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n006.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 19.09s 18.18s
% Output : Proof 19.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 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(c240,plain,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
inference(cnf_transformation,[status(esa)],[f113_nnf]) ).
fof(f111,hypothesis,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5321) ).
fof(f111_nnf,plain,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
inference(nnf_transformation,[status(thm)],[f111]) ).
cnf(c238,plain,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
inference(cnf_transformation,[status(esa)],[f111_nnf]) ).
cnf(p938,plain,
sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd),
inference(superposition,[status(thm)],[c240,c238]) ).
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(c241,plain,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(cnf_transformation,[status(esa)],[f114_sk]) ).
cnf(p940,plain,
szDzizrdt0(xd) != szDzizrdt0(xd),
inference(demodulation,[status(thm)],[p938,c241]) ).
cnf(p4330,plain,
$false,
inference(equality_resolution,[status(thm)],[p940]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM632+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/15.39 % Computer : n006.cluster.edu
% 0.10/15.39 % Model : x86_64 x86_64
% 0.10/15.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.39 % Memory : 8046.5625MB
% 0.10/15.39 % OS : Linux 6.8.0-71-generic
% 0.10/15.39 % CPULimit : 300
% 0.10/15.39 % WCLimit : 300
% 0.10/15.39 % DateTime : Thu Sep 24 05:00:57 UTC 2026
% 0.10/15.39 % CPUTime :
% 0.10/15.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 19.09/18.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.09/18.18 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------