%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : RNG074+2 : 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 : n026.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 08:26:33 AM UTC 2026
% Result : Theorem 0.18s 0.50s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 2 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2590,axiom,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('theBenchmark.p',m__2590) ).
cnf(c_155,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(clausify,[status(thm)],[m__2590]) ).
fof(m__2610,axiom,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('theBenchmark.p',m__2610) ).
cnf(c_156,plain,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(clausify,[status(thm)],[m__2610]) ).
fof(m__2679,axiom,
sdtpldt0(xR,xS) = sdtpldt0(xP,xP),
file('theBenchmark.p',m__2679) ).
cnf(c_160,plain,
sdtpldt0(xR,xS) = sdtpldt0(xP,xP),
inference(clausify,[status(thm)],[m__2679]) ).
cnf(c_210,plain,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),
inference(paramod,[status(thm)],[c_160,c_156]) ).
cnf(c_212,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),
inference(paramod,[status(thm)],[c_160,c_155]) ).
cnf(c_211,plain,
$false,
inference(resolve,[status(thm)],[c_210,c_212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG074+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n026.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 06:01:40 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.45 % Process 253526 was started by sandbox2 on n026,
% 0.18/0.45 % Sat Sep 26 06:01:40 2026
% 0.18/0.45 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.18/0.47
% 0.18/0.47 % From the command line: assign(max_seconds, 300).
% 0.18/0.50
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50
% 0.18/0.50 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.18/0.50 % Length of proof is 5.
% 0.18/0.50 % Level of proof is 2.
% 0.18/0.50 % Maximum clause weight is 7.000.
% 0.18/0.50 % Given clauses 0.
% 0.18/0.50
% 0.18/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------