%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NUM632+1 : 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 : n012.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 08:17:38 AM UTC 2026
% Result : Theorem 0.08s 0.34s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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(m__,conjecture,
sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd),
file('theBenchmark.p',m__) ).
fof(m___neg,negated_conjecture,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(assume_negation,[status(cth)],[m__]) ).
fof(m__5321,axiom,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
file('theBenchmark.p',m__5321) ).
cnf(c_313,plain,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
inference(clausify,[status(thm)],[m__5321]) ).
fof(m__5568,axiom,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
file('theBenchmark.p',m__5568) ).
cnf(c_315,plain,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
inference(clausify,[status(thm)],[m__5568]) ).
cnf(c_316,plain,
sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd),
inference(paramod,[status(thm)],[c_313,c_315]) ).
cnf(c_317,negated_conjecture,
szDzizrdt0(xd) != sdtlpdtrp0(xc,xQ),
inference(clausify,[status(thm)],[m___neg]) ).
cnf(c_319,negated_conjecture,
szDzizrdt0(xd) != szDzizrdt0(xd),
inference(paramod,[status(thm)],[c_316,c_317]) ).
cnf(c_318,negated_conjecture,
$false,
inference(copy,[status(thm)],[c_319]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM632+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sat Sep 26 03:31:05 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.04/0.31 % Process 3779339 was started by sandbox2 on n012,
% 0.04/0.31 % Sat Sep 26 03:31:05 2026
% 0.04/0.31 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.04/0.32
% 0.04/0.32 % From the command line: assign(max_seconds, 300).
% 0.08/0.34
% 0.08/0.34 % SZS status Theorem for theBenchmark
% 0.08/0.34
% 0.08/0.34 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.08/0.34 % Length of proof is 6.
% 0.08/0.34 % Level of proof is 2.
% 0.08/0.34 % Maximum clause weight is 6.000.
% 0.08/0.34 % Given clauses 0.
% 0.08/0.34
% 0.08/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------