%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NUM625+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 : Sun Sep 27 08:17:37 AM UTC 2026
% Result : Theorem 17.57s 2.99s
% Output : CNFRefutation 17.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 8 unt; 0 def)
% Number of atoms : 16 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 10 ( 4 ~; 0 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 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 : 1 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__5147,axiom,
( xp = szmzizndt0(xQ)
& ! [W0] :
( aElementOf0(W0,xQ)
=> sdtlseqdt0(xp,W0) )
& aElementOf0(xp,xQ) ),
file('theBenchmark.p',m__5147) ).
fof(m__5348,axiom,
( aElementOf0(xx,xP)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xQ)
& aElement0(xx) ),
file('theBenchmark.p',m__5348) ).
cnf(c_996,plain,
szmzizndt0(xQ) = xp,
inference(clausify,[status(thm)],[m__5147]) ).
cnf(c_1023,plain,
szmzizndt0(xQ) != xx,
inference(clausify,[status(thm)],[m__5348]) ).
cnf(c_1040,plain,
xp != xx,
inference(paramod,[status(thm)],[c_996,c_1023]) ).
cnf(c_1024,plain,
xx != xp,
inference(copy,[status(thm)],[c_1040]) ).
fof(m__5496,axiom,
xp = xx,
file('theBenchmark.p',m__5496) ).
cnf(c_1038,plain,
xp = xx,
inference(clausify,[status(thm)],[m__5496]) ).
cnf(c_1041,plain,
xx = xp,
inference(copy,[status(thm)],[c_1038]) ).
cnf(c_1039,plain,
$false,
inference(resolve,[status(thm)],[c_1024,c_1041]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM625+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n009.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sat Sep 26 03:29:45 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/0.44 % Process 3274940 was started by sandbox2 on n009,
% 0.19/0.44 % Sat Sep 26 03:29:45 2026
% 0.19/0.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.46/0.74
% 0.46/0.74 % From the command line: assign(max_seconds, 300).
% 17.57/2.99
% 17.57/2.99 % SZS status Theorem for theBenchmark
% 17.57/2.99
% 17.57/2.99 % Proof 1 at 2.19 (+ 0.02) seconds.
% 17.57/2.99 % Length of proof is 7.
% 17.57/2.99 % Level of proof is 3.
% 17.57/2.99 % Maximum clause weight is 8.000.
% 17.57/2.99 % Given clauses 0.
% 17.57/2.99
% 17.57/2.99 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------