%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP483-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 07:29:51 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.44s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 5
% Syntax : Number of formulae : 106 ( 106 unt; 0 def)
% Number of atoms : 106 ( 105 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 16 ( 16 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 187 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(single_axiom,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] : double_divide(double_divide(double_divide(VAR_0,double_divide(VAR_1,identity)),double_divide(double_divide(VAR_2,double_divide(VAR_3,double_divide(VAR_3,identity))),double_divide(VAR_0,identity))),VAR_1) = VAR_2,
file('theBenchmark.p',single_axiom) ).
cnf(c_1,plain,
double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,double_divide(D,double_divide(D,identity))),double_divide(A,identity))),B) = C,
inference(clausify,[status(thm)],[single_axiom]) ).
fof(multiply,axiom,
! [VAR_0,VAR_1] : multiply(VAR_0,VAR_1) = double_divide(double_divide(VAR_1,VAR_0),identity),
file('theBenchmark.p',multiply) ).
cnf(c_2,plain,
multiply(A,B) = double_divide(double_divide(B,A),identity),
inference(clausify,[status(thm)],[multiply]) ).
fof(inverse,axiom,
! [VAR_0] : inverse(VAR_0) = double_divide(VAR_0,identity),
file('theBenchmark.p',inverse) ).
cnf(c_3,plain,
inverse(A) = double_divide(A,identity),
inference(clausify,[status(thm)],[inverse]) ).
fof(identity,axiom,
! [VAR_0] : identity = double_divide(VAR_0,inverse(VAR_0)),
file('theBenchmark.p',identity) ).
cnf(c_4,plain,
identity = double_divide(A,inverse(A)),
inference(clausify,[status(thm)],[identity]) ).
cnf(c_179,plain,
identity = double_divide(A,double_divide(A,identity)),
inference(paramod,[status(thm)],[c_3,c_4]) ).
cnf(c_5,plain,
double_divide(A,double_divide(A,identity)) = identity,
inference(copy,[status(thm)],[c_179]) ).
fof(prove_these_axioms_3,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('theBenchmark.p',prove_these_axioms_3) ).
cnf(c_6,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(clausify,[status(thm)],[prove_these_axioms_3]) ).
cnf(c_180,plain,
multiply(double_divide(double_divide(b3,a3),identity),c3) != multiply(a3,multiply(b3,c3)),
inference(paramod,[status(thm)],[c_2,c_6]) ).
cnf(c_181,plain,
double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != multiply(a3,multiply(b3,c3)),
inference(paramod,[status(thm)],[c_2,c_180]) ).
cnf(c_182,plain,
double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != multiply(a3,double_divide(double_divide(c3,b3),identity)),
inference(paramod,[status(thm)],[c_2,c_181]) ).
cnf(c_183,plain,
double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity),
inference(paramod,[status(thm)],[c_2,c_182]) ).
cnf(c_7,plain,
double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity),
inference(copy,[status(thm)],[c_183]) ).
cnf(c_8,plain,
double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(double_divide(C,identity),double_divide(A,identity))),B) = C,
inference(paramod,[status(thm)],[c_5,c_1]) ).
cnf(c_9,plain,
double_divide(double_divide(double_divide(A,double_divide(identity,identity)),double_divide(double_divide(B,identity),double_divide(A,identity))),B) = identity,
inference(paramod,[status(thm)],[c_8,c_5]) ).
cnf(c_10,plain,
double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,identity))),B) = A,
inference(paramod,[status(thm)],[c_5,c_8]) ).
cnf(c_14,plain,
double_divide(double_divide(identity,identity),double_divide(A,identity)) = A,
inference(paramod,[status(thm)],[c_5,c_10]) ).
cnf(c_16,plain,
double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(C,double_divide(A,identity))),B) = double_divide(identity,double_divide(double_divide(C,identity),double_divide(identity,identity))),
inference(paramod,[status(thm)],[c_10,c_8]) ).
cnf(c_19,plain,
double_divide(double_divide(double_divide(A,double_divide(identity,identity)),double_divide(B,double_divide(A,identity))),double_divide(identity,double_divide(double_divide(B,identity),double_divide(identity,identity)))) = identity,
inference(paramod,[status(thm)],[c_10,c_9]) ).
cnf(c_22,plain,
double_divide(double_divide(identity,double_divide(A,double_divide(B,identity))),B) = double_divide(identity,double_divide(double_divide(A,identity),double_divide(identity,identity))),
inference(paramod,[status(thm)],[c_10,c_10]) ).
cnf(c_23,plain,
double_divide(double_divide(identity,double_divide(double_divide(A,identity),B)),double_divide(identity,double_divide(double_divide(B,identity),double_divide(identity,identity)))) = A,
inference(paramod,[status(thm)],[c_10,c_10]) ).
cnf(c_24,plain,
double_divide(identity,double_divide(double_divide(double_divide(A,identity),identity),double_divide(identity,identity))) = A,
inference(paramod,[status(thm)],[c_16,c_8]) ).
cnf(c_25,plain,
double_divide(identity,identity) = identity,
inference(paramod,[status(thm)],[c_14,c_5]) ).
cnf(c_184,plain,
double_divide(double_divide(identity,identity),A) = double_divide(identity,double_divide(double_divide(A,identity),double_divide(identity,identity))),
inference(paramod,[status(thm)],[c_10,c_14]) ).
cnf(c_185,plain,
double_divide(identity,A) = double_divide(identity,double_divide(double_divide(A,identity),double_divide(identity,identity))),
inference(paramod,[status(thm)],[c_25,c_184]) ).
cnf(c_186,plain,
double_divide(identity,A) = double_divide(identity,double_divide(double_divide(A,identity),identity)),
inference(paramod,[status(thm)],[c_25,c_185]) ).
cnf(c_30,plain,
double_divide(identity,double_divide(double_divide(A,identity),identity)) = double_divide(identity,A),
inference(copy,[status(thm)],[c_186]) ).
cnf(c_187,plain,
double_divide(identity,double_divide(double_divide(double_divide(A,identity),identity),identity)) = A,
inference(paramod,[status(thm)],[c_25,c_24]) ).
cnf(c_31,plain,
double_divide(identity,double_divide(A,identity)) = A,
inference(paramod,[status(thm)],[c_30,c_187]) ).
cnf(c_188,plain,
double_divide(double_divide(identity,double_divide(double_divide(A,identity),B)),double_divide(identity,double_divide(double_divide(B,identity),identity))) = A,
inference(paramod,[status(thm)],[c_25,c_23]) ).
cnf(c_32,plain,
double_divide(double_divide(identity,double_divide(double_divide(A,identity),B)),double_divide(B,identity)) = A,
inference(paramod,[status(thm)],[c_31,c_188]) ).
cnf(c_189,plain,
double_divide(double_divide(identity,double_divide(A,double_divide(B,identity))),B) = double_divide(identity,double_divide(double_divide(A,identity),identity)),
inference(paramod,[status(thm)],[c_25,c_22]) ).
cnf(c_33,plain,
double_divide(double_divide(identity,double_divide(A,double_divide(B,identity))),B) = double_divide(A,identity),
inference(paramod,[status(thm)],[c_31,c_189]) ).
cnf(c_190,plain,
double_divide(double_divide(double_divide(A,identity),double_divide(B,double_divide(A,identity))),double_divide(identity,double_divide(double_divide(B,identity),double_divide(identity,identity)))) = identity,
inference(paramod,[status(thm)],[c_25,c_19]) ).
cnf(c_191,plain,
double_divide(double_divide(double_divide(A,identity),double_divide(B,double_divide(A,identity))),double_divide(identity,double_divide(double_divide(B,identity),identity))) = identity,
inference(paramod,[status(thm)],[c_25,c_190]) ).
cnf(c_36,plain,
double_divide(double_divide(double_divide(A,identity),double_divide(B,double_divide(A,identity))),double_divide(B,identity)) = identity,
inference(paramod,[status(thm)],[c_31,c_191]) ).
cnf(c_192,plain,
double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(C,double_divide(A,identity))),B) = double_divide(identity,double_divide(double_divide(C,identity),identity)),
inference(paramod,[status(thm)],[c_25,c_16]) ).
cnf(c_39,plain,
double_divide(double_divide(double_divide(A,double_divide(B,identity)),double_divide(C,double_divide(A,identity))),B) = double_divide(C,identity),
inference(paramod,[status(thm)],[c_31,c_192]) ).
cnf(c_193,plain,
double_divide(A,identity) = double_divide(identity,A),
inference(paramod,[status(thm)],[c_31,c_30]) ).
cnf(c_42,plain,
double_divide(identity,A) = double_divide(A,identity),
inference(copy,[status(thm)],[c_193]) ).
cnf(c_194,plain,
double_divide(double_divide(double_divide(identity,double_divide(c3,b3)),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity),
inference(paramod,[status(thm)],[c_42,c_7]) ).
cnf(c_195,plain,
double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity),
inference(paramod,[status(thm)],[c_42,c_194]) ).
cnf(c_196,plain,
double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(double_divide(c3,double_divide(identity,double_divide(b3,a3))),identity),
inference(paramod,[status(thm)],[c_42,c_195]) ).
cnf(c_43,plain,
double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),
inference(paramod,[status(thm)],[c_42,c_196]) ).
cnf(c_44,plain,
multiply(A,B) = double_divide(identity,double_divide(B,A)),
inference(paramod,[status(thm)],[c_42,c_2]) ).
cnf(c_46,plain,
double_divide(identity,double_divide(identity,A)) = A,
inference(paramod,[status(thm)],[c_42,c_31]) ).
cnf(c_197,plain,
double_divide(double_divide(identity,A),B) = double_divide(double_divide(identity,double_divide(double_divide(A,identity),B)),identity),
inference(paramod,[status(thm)],[c_32,c_33]) ).
cnf(c_198,plain,
double_divide(double_divide(identity,A),B) = double_divide(identity,double_divide(identity,double_divide(double_divide(A,identity),B))),
inference(paramod,[status(thm)],[c_42,c_197]) ).
cnf(c_50,plain,
double_divide(double_divide(identity,A),B) = double_divide(double_divide(A,identity),B),
inference(paramod,[status(thm)],[c_46,c_198]) ).
cnf(c_199,plain,
double_divide(double_divide(identity,double_divide(double_divide(double_divide(A,identity),identity),B)),double_divide(B,identity)) = double_divide(identity,A),
inference(paramod,[status(thm)],[c_50,c_32]) ).
cnf(c_200,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(A,identity)),B)),double_divide(B,identity)) = double_divide(identity,A),
inference(paramod,[status(thm)],[c_42,c_199]) ).
cnf(c_51,plain,
double_divide(double_divide(identity,double_divide(A,B)),double_divide(B,identity)) = double_divide(identity,A),
inference(paramod,[status(thm)],[c_31,c_200]) ).
cnf(c_201,plain,
double_divide(double_divide(double_divide(double_divide(A,identity),identity),double_divide(B,double_divide(double_divide(identity,A),identity))),double_divide(B,identity)) = identity,
inference(paramod,[status(thm)],[c_50,c_36]) ).
cnf(c_202,plain,
double_divide(double_divide(double_divide(identity,double_divide(A,identity)),double_divide(B,double_divide(double_divide(identity,A),identity))),double_divide(B,identity)) = identity,
inference(paramod,[status(thm)],[c_42,c_201]) ).
cnf(c_203,plain,
double_divide(double_divide(A,double_divide(B,double_divide(double_divide(identity,A),identity))),double_divide(B,identity)) = identity,
inference(paramod,[status(thm)],[c_31,c_202]) ).
cnf(c_204,plain,
double_divide(double_divide(A,double_divide(B,double_divide(identity,double_divide(identity,A)))),double_divide(B,identity)) = identity,
inference(paramod,[status(thm)],[c_42,c_203]) ).
cnf(c_59,plain,
double_divide(double_divide(A,double_divide(B,A)),double_divide(B,identity)) = identity,
inference(paramod,[status(thm)],[c_46,c_204]) ).
cnf(c_205,plain,
double_divide(double_divide(identity,identity),A) = double_divide(double_divide(B,double_divide(A,B)),identity),
inference(paramod,[status(thm)],[c_59,c_33]) ).
cnf(c_206,plain,
double_divide(identity,A) = double_divide(double_divide(B,double_divide(A,B)),identity),
inference(paramod,[status(thm)],[c_25,c_205]) ).
cnf(c_207,plain,
double_divide(identity,A) = double_divide(identity,double_divide(B,double_divide(A,B))),
inference(paramod,[status(thm)],[c_42,c_206]) ).
cnf(c_62,plain,
double_divide(identity,double_divide(A,double_divide(B,A))) = double_divide(identity,B),
inference(copy,[status(thm)],[c_207]) ).
cnf(c_208,plain,
double_divide(identity,double_divide(identity,A)) = double_divide(B,double_divide(A,B)),
inference(paramod,[status(thm)],[c_62,c_46]) ).
cnf(c_209,plain,
A = double_divide(B,double_divide(A,B)),
inference(paramod,[status(thm)],[c_46,c_208]) ).
cnf(c_67,plain,
double_divide(A,double_divide(B,A)) = B,
inference(copy,[status(thm)],[c_209]) ).
cnf(c_210,plain,
double_divide(identity,double_divide(A,double_divide(B,identity))) = double_divide(identity,double_divide(identity,double_divide(B,double_divide(A,identity)))),
inference(paramod,[status(thm)],[c_33,c_62]) ).
cnf(c_68,plain,
double_divide(identity,double_divide(A,double_divide(B,identity))) = double_divide(B,double_divide(A,identity)),
inference(paramod,[status(thm)],[c_46,c_210]) ).
cnf(c_211,plain,
A = double_divide(double_divide(B,identity),double_divide(A,double_divide(identity,B))),
inference(paramod,[status(thm)],[c_67,c_50]) ).
cnf(c_72,plain,
double_divide(double_divide(A,identity),double_divide(B,double_divide(identity,A))) = B,
inference(copy,[status(thm)],[c_211]) ).
cnf(c_74,plain,
double_divide(double_divide(A,B),A) = B,
inference(paramod,[status(thm)],[c_67,c_67]) ).
cnf(c_76,plain,
double_divide(double_divide(double_divide(identity,A),B),double_divide(A,identity)) = B,
inference(paramod,[status(thm)],[c_50,c_74]) ).
cnf(c_212,plain,
double_divide(A,double_divide(B,identity)) = double_divide(A,double_divide(identity,B)),
inference(paramod,[status(thm)],[c_72,c_74]) ).
cnf(c_77,plain,
double_divide(A,double_divide(identity,B)) = double_divide(A,double_divide(B,identity)),
inference(copy,[status(thm)],[c_212]) ).
cnf(c_213,plain,
multiply(double_divide(identity,A),B) = double_divide(identity,double_divide(B,double_divide(A,identity))),
inference(paramod,[status(thm)],[c_77,c_44]) ).
cnf(c_214,plain,
double_divide(identity,double_divide(B,double_divide(identity,A))) = double_divide(identity,double_divide(B,double_divide(A,identity))),
inference(paramod,[status(thm)],[c_44,c_213]) ).
cnf(c_78,plain,
double_divide(identity,double_divide(A,double_divide(identity,B))) = double_divide(B,double_divide(A,identity)),
inference(paramod,[status(thm)],[c_68,c_214]) ).
cnf(c_215,plain,
double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(double_divide(b3,a3),double_divide(c3,identity)),
inference(paramod,[status(thm)],[c_78,c_43]) ).
cnf(c_81,plain,
double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(double_divide(b3,a3),double_divide(identity,c3)),
inference(paramod,[status(thm)],[c_42,c_215]) ).
cnf(c_216,plain,
double_divide(double_divide(A,identity),double_divide(B,identity)) = double_divide(double_divide(C,double_divide(double_divide(identity,A),identity)),double_divide(B,double_divide(C,identity))),
inference(paramod,[status(thm)],[c_39,c_72]) ).
cnf(c_217,plain,
double_divide(double_divide(A,identity),double_divide(B,identity)) = double_divide(double_divide(C,double_divide(identity,double_divide(identity,A))),double_divide(B,double_divide(C,identity))),
inference(paramod,[status(thm)],[c_42,c_216]) ).
cnf(c_218,plain,
double_divide(double_divide(A,identity),double_divide(B,identity)) = double_divide(double_divide(C,A),double_divide(B,double_divide(C,identity))),
inference(paramod,[status(thm)],[c_46,c_217]) ).
cnf(c_91,plain,
double_divide(double_divide(A,B),double_divide(C,double_divide(A,identity))) = double_divide(double_divide(B,identity),double_divide(C,identity)),
inference(copy,[status(thm)],[c_218]) ).
cnf(c_219,plain,
double_divide(double_divide(double_divide(A,identity),double_divide(B,double_divide(double_divide(double_divide(C,double_divide(double_divide(D,identity),identity)),double_divide(A,double_divide(C,identity))),identity))),D) = double_divide(B,identity),
inference(paramod,[status(thm)],[c_39,c_39]) ).
cnf(c_220,plain,
double_divide(double_divide(double_divide(A,identity),double_divide(B,double_divide(double_divide(double_divide(C,double_divide(identity,double_divide(D,identity))),double_divide(A,double_divide(C,identity))),identity))),D) = double_divide(B,identity),
inference(paramod,[status(thm)],[c_42,c_219]) ).
cnf(c_221,plain,
double_divide(double_divide(double_divide(A,identity),double_divide(B,double_divide(double_divide(double_divide(C,D),double_divide(A,double_divide(C,identity))),identity))),D) = double_divide(B,identity),
inference(paramod,[status(thm)],[c_67,c_220]) ).
cnf(c_222,plain,
double_divide(double_divide(double_divide(A,identity),double_divide(B,double_divide(double_divide(double_divide(D,identity),double_divide(A,identity)),identity))),D) = double_divide(B,identity),
inference(paramod,[status(thm)],[c_91,c_221]) ).
cnf(c_223,plain,
double_divide(double_divide(double_divide(A,identity),double_divide(B,double_divide(identity,double_divide(double_divide(D,identity),double_divide(A,identity))))),D) = double_divide(B,identity),
inference(paramod,[status(thm)],[c_42,c_222]) ).
cnf(c_224,plain,
double_divide(double_divide(double_divide(A,identity),double_divide(B,double_divide(A,double_divide(double_divide(D,identity),identity)))),D) = double_divide(B,identity),
inference(paramod,[status(thm)],[c_68,c_223]) ).
cnf(c_225,plain,
double_divide(double_divide(double_divide(A,identity),double_divide(B,double_divide(A,double_divide(identity,double_divide(D,identity))))),D) = double_divide(B,identity),
inference(paramod,[status(thm)],[c_42,c_224]) ).
cnf(c_92,plain,
double_divide(double_divide(double_divide(A,identity),double_divide(B,double_divide(A,C))),C) = double_divide(B,identity),
inference(paramod,[status(thm)],[c_67,c_225]) ).
cnf(c_226,plain,
double_divide(double_divide(identity,A),double_divide(double_divide(B,identity),identity)) = double_divide(identity,double_divide(double_divide(identity,B),A)),
inference(paramod,[status(thm)],[c_76,c_51]) ).
cnf(c_227,plain,
double_divide(double_divide(identity,A),double_divide(identity,double_divide(B,identity))) = double_divide(identity,double_divide(double_divide(identity,B),A)),
inference(paramod,[status(thm)],[c_42,c_226]) ).
cnf(c_228,plain,
double_divide(double_divide(identity,A),B) = double_divide(identity,double_divide(double_divide(identity,B),A)),
inference(paramod,[status(thm)],[c_67,c_227]) ).
cnf(c_98,plain,
double_divide(identity,double_divide(double_divide(identity,A),B)) = double_divide(double_divide(identity,B),A),
inference(copy,[status(thm)],[c_228]) ).
cnf(c_229,plain,
double_divide(double_divide(identity,a3),double_divide(c3,b3)) != double_divide(double_divide(b3,a3),double_divide(identity,c3)),
inference(paramod,[status(thm)],[c_98,c_81]) ).
cnf(c_102,plain,
double_divide(double_divide(b3,a3),double_divide(identity,c3)) != double_divide(double_divide(identity,a3),double_divide(c3,b3)),
inference(copy,[status(thm)],[c_229]) ).
cnf(c_230,plain,
double_divide(A,double_divide(B,identity)) = double_divide(double_divide(C,identity),double_divide(B,double_divide(C,A))),
inference(paramod,[status(thm)],[c_92,c_67]) ).
cnf(c_130,plain,
double_divide(double_divide(A,identity),double_divide(B,double_divide(A,C))) = double_divide(C,double_divide(B,identity)),
inference(copy,[status(thm)],[c_230]) ).
cnf(c_161,plain,
double_divide(double_divide(A,identity),double_divide(B,C)) = double_divide(double_divide(C,A),double_divide(B,identity)),
inference(paramod,[status(thm)],[c_67,c_130]) ).
cnf(c_165,plain,
double_divide(double_divide(identity,A),double_divide(B,C)) = double_divide(double_divide(C,A),double_divide(B,identity)),
inference(paramod,[status(thm)],[c_42,c_161]) ).
cnf(c_177,plain,
double_divide(double_divide(identity,A),double_divide(B,C)) = double_divide(double_divide(C,A),double_divide(identity,B)),
inference(paramod,[status(thm)],[c_42,c_165]) ).
cnf(c_231,plain,
double_divide(double_divide(identity,a3),double_divide(c3,b3)) != double_divide(double_divide(b3,a3),double_divide(identity,c3)),
inference(copy,[status(thm)],[c_102]) ).
cnf(c_178,plain,
$false,
inference(resolve,[status(thm)],[c_177,c_231]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP483-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 15:01:55 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.15/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.38 % Process 3609513 was started by sandbox on n001,
% 0.15/0.38 % Fri Sep 25 15:01:55 2026
% 0.15/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.15/0.38
% 0.15/0.38 % From the command line: assign(max_seconds, 300).
% 0.15/0.44
% 0.15/0.44 % Assigning unary symbol inverse kb_weight 0 and highest precedence (8).
% 0.15/0.44
% 0.15/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.44
% 0.15/0.44 % Proof 1 at 0.03 (+ 0.01) seconds.
% 0.15/0.44 % Length of proof is 48.
% 0.15/0.44 % Level of proof is 21.
% 0.15/0.44 % Maximum clause weight is 96.000.
% 0.15/0.44 % Given clauses 48.
% 0.15/0.44
% 0.15/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------