%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NUM632+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 : n003.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 18.37s 3.30s
% Output : CNFRefutation 18.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 10 unt; 0 def)
% Number of atoms : 15 ( 11 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 7 ( 3 ~; 0 |; 4 &)
% ( 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(m__5309,axiom,
( sdtlpdtrp0(xe,xn) = xp
& aElementOf0(xn,szNzAzT0)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,szDzozmdt0(xd)) ),
file('theBenchmark.p',m__5309) ).
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__]) ).
cnf(c_1016,plain,
szDzizrdt0(xd) = sdtlpdtrp0(xd,xn),
inference(clausify,[status(thm)],[m__5309]) ).
cnf(c_1017,plain,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
inference(copy,[status(thm)],[c_1016]) ).
fof(m__5568,axiom,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
file('theBenchmark.p',m__5568) ).
cnf(c_1023,plain,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
inference(clausify,[status(thm)],[m__5568]) ).
cnf(c_1024,plain,
sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd),
inference(paramod,[status(thm)],[c_1017,c_1023]) ).
cnf(c_1025,negated_conjecture,
szDzizrdt0(xd) != sdtlpdtrp0(xc,xQ),
inference(clausify,[status(thm)],[m___neg]) ).
cnf(c_1027,negated_conjecture,
szDzizrdt0(xd) != szDzizrdt0(xd),
inference(paramod,[status(thm)],[c_1024,c_1025]) ).
cnf(c_1026,negated_conjecture,
$false,
inference(copy,[status(thm)],[c_1027]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM632+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n003.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sat Sep 26 03:32:53 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.43 % Process 1937033 was started by sandbox2 on n003,
% 0.18/0.43 % Sat Sep 26 03:32:53 2026
% 0.18/0.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.43/0.68
% 0.43/0.68 % From the command line: assign(max_seconds, 300).
% 18.37/3.30
% 18.37/3.30 % SZS status Theorem for theBenchmark
% 18.37/3.30
% 18.37/3.30 % Proof 1 at 2.57 (+ 0.02) seconds.
% 18.37/3.30 % Length of proof is 8.
% 18.37/3.30 % Level of proof is 4.
% 18.37/3.30 % Maximum clause weight is 16.000.
% 18.37/3.30 % Given clauses 0.
% 18.37/3.30
% 18.37/3.30 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------