%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP105-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 07:27:20 AM UTC 2026
% Result : Unsatisfiable 0.66s 0.56s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 3
% Syntax : Number of formulae : 92 ( 69 unt; 0 def)
% Number of atoms : 146 ( 145 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 137 ( 83 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 157 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(single_axiom,axiom,
! [VAR_0,VAR_1,VAR_2] : double_divide(inverse(double_divide(double_divide(VAR_0,VAR_1),inverse(double_divide(VAR_0,inverse(VAR_2))))),VAR_1) = VAR_2,
file('theBenchmark.p',single_axiom) ).
cnf(c_1,plain,
double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) = C,
inference(clausify,[status(thm)],[single_axiom]) ).
fof(multiply,axiom,
! [VAR_0,VAR_1] : multiply(VAR_0,VAR_1) = inverse(double_divide(VAR_1,VAR_0)),
file('theBenchmark.p',multiply) ).
cnf(c_2,plain,
multiply(A,B) = inverse(double_divide(B,A)),
inference(clausify,[status(thm)],[multiply]) ).
fof(prove_these_axioms,axiom,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
file('theBenchmark.p',prove_these_axioms) ).
cnf(c_3,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(clausify,[status(thm)],[prove_these_axioms]) ).
cnf(c_268,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| inverse(double_divide(a1,inverse(a1))) != multiply(inverse(b1),b1) ),
inference(paramod,[status(thm)],[c_2,c_3]) ).
cnf(c_269,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(paramod,[status(thm)],[c_2,c_268]) ).
cnf(c_270,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(double_divide(b2,inverse(b2))),a2) != a2
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(paramod,[status(thm)],[c_2,c_269]) ).
cnf(c_271,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(paramod,[status(thm)],[c_2,c_270]) ).
cnf(c_272,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(inverse(double_divide(b3,a3)),c3) != multiply(a3,multiply(b3,c3))
| inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(paramod,[status(thm)],[c_2,c_271]) ).
cnf(c_273,plain,
( multiply(a4,b4) != multiply(b4,a4)
| inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != multiply(a3,multiply(b3,c3))
| inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(paramod,[status(thm)],[c_2,c_272]) ).
cnf(c_274,plain,
( multiply(a4,b4) != multiply(b4,a4)
| inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != multiply(a3,inverse(double_divide(c3,b3)))
| inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(paramod,[status(thm)],[c_2,c_273]) ).
cnf(c_275,plain,
( multiply(a4,b4) != multiply(b4,a4)
| inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
| inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(paramod,[status(thm)],[c_2,c_274]) ).
cnf(c_276,plain,
( inverse(double_divide(b4,a4)) != multiply(b4,a4)
| inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
| inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(paramod,[status(thm)],[c_2,c_275]) ).
cnf(c_277,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
| inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(paramod,[status(thm)],[c_2,c_276]) ).
cnf(c_278,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
| inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2
| inverse(double_divide(b1,inverse(b1))) != inverse(double_divide(a1,inverse(a1))) ),
inference(copy,[status(thm)],[c_277]) ).
cnf(c_4,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3))))
| inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2
| inverse(double_divide(b1,inverse(b1))) != inverse(double_divide(a1,inverse(a1))) ),
inference(copy,[status(thm)],[c_278]) ).
cnf(c_5,plain,
double_divide(inverse(double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(B,C),inverse(double_divide(B,inverse(A))))),inverse(D))))),C) = D,
inference(paramod,[status(thm)],[c_1,c_1]) ).
cnf(c_6,plain,
double_divide(inverse(double_divide(double_divide(inverse(double_divide(double_divide(A,inverse(B)),inverse(double_divide(A,inverse(C))))),D),inverse(C))),D) = B,
inference(paramod,[status(thm)],[c_1,c_1]) ).
cnf(c_7,plain,
double_divide(inverse(double_divide(A,inverse(A))),inverse(B)) = B,
inference(paramod,[status(thm)],[c_1,c_5]) ).
cnf(c_279,plain,
double_divide(inverse(double_divide(A,inverse(double_divide(inverse(double_divide(B,inverse(B))),inverse(C))))),inverse(A)) = C,
inference(paramod,[status(thm)],[c_7,c_1]) ).
cnf(c_8,plain,
double_divide(inverse(double_divide(A,inverse(B))),inverse(A)) = B,
inference(paramod,[status(thm)],[c_7,c_279]) ).
cnf(c_13,plain,
double_divide(inverse(inverse(double_divide(A,inverse(A)))),inverse(B)) = B,
inference(paramod,[status(thm)],[c_7,c_7]) ).
cnf(c_20,plain,
double_divide(inverse(A),inverse(inverse(double_divide(B,inverse(B))))) = A,
inference(paramod,[status(thm)],[c_7,c_8]) ).
cnf(c_280,plain,
double_divide(inverse(double_divide(A,inverse(double_divide(inverse(A),inverse(B))))),inverse(inverse(double_divide(C,inverse(C))))) = B,
inference(paramod,[status(thm)],[c_20,c_1]) ).
cnf(c_27,plain,
double_divide(A,inverse(double_divide(inverse(A),inverse(B)))) = B,
inference(paramod,[status(thm)],[c_20,c_280]) ).
cnf(c_281,plain,
double_divide(A,inverse(A)) = inverse(double_divide(B,inverse(B))),
inference(paramod,[status(thm)],[c_20,c_7]) ).
cnf(c_32,plain,
inverse(double_divide(A,inverse(A))) = double_divide(B,inverse(B)),
inference(copy,[status(thm)],[c_281]) ).
cnf(c_33,plain,
inverse(double_divide(A,inverse(A))) = inverse(double_divide(B,inverse(B))),
inference(paramod,[status(thm)],[c_20,c_13]) ).
cnf(c_35,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3))))
| inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2 ),
inference(resolve,[status(thm)],[c_33,c_4]) ).
cnf(c_37,plain,
double_divide(inverse(double_divide(double_divide(A,B),double_divide(C,inverse(C)))),B) = A,
inference(paramod,[status(thm)],[c_32,c_1]) ).
cnf(c_38,plain,
double_divide(double_divide(A,inverse(A)),inverse(B)) = B,
inference(paramod,[status(thm)],[c_32,c_1]) ).
cnf(c_282,plain,
double_divide(inverse(double_divide(A,double_divide(B,inverse(B)))),C) = inverse(double_divide(double_divide(D,C),inverse(double_divide(D,inverse(A))))),
inference(paramod,[status(thm)],[c_32,c_5]) ).
cnf(c_44,plain,
inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))) = double_divide(inverse(double_divide(C,double_divide(D,inverse(D)))),B),
inference(copy,[status(thm)],[c_282]) ).
cnf(c_283,plain,
double_divide(inverse(double_divide(double_divide(A,inverse(A)),inverse(B))),double_divide(C,inverse(C))) = B,
inference(paramod,[status(thm)],[c_32,c_8]) ).
cnf(c_51,plain,
double_divide(inverse(A),double_divide(B,inverse(B))) = A,
inference(paramod,[status(thm)],[c_38,c_283]) ).
cnf(c_57,plain,
double_divide(A,inverse(A)) = double_divide(B,inverse(B)),
inference(paramod,[status(thm)],[c_32,c_32]) ).
cnf(c_83,plain,
double_divide(inverse(A),double_divide(double_divide(B,inverse(B)),double_divide(C,inverse(C)))) = A,
inference(paramod,[status(thm)],[c_32,c_51]) ).
cnf(c_86,plain,
double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B) = double_divide(inverse(A),inverse(C)),
inference(paramod,[status(thm)],[c_27,c_1]) ).
cnf(c_91,plain,
double_divide(inverse(A),inverse(B)) = double_divide(inverse(B),inverse(A)),
inference(paramod,[status(thm)],[c_27,c_8]) ).
cnf(c_93,plain,
double_divide(A,double_divide(B,inverse(B))) = inverse(A),
inference(paramod,[status(thm)],[c_32,c_27]) ).
cnf(c_95,plain,
double_divide(A,inverse(double_divide(B,inverse(B)))) = inverse(A),
inference(paramod,[status(thm)],[c_57,c_27]) ).
cnf(c_284,plain,
double_divide(inverse(double_divide(double_divide(inverse(double_divide(A,inverse(double_divide(B,inverse(C))))),D),inverse(C))),D) = double_divide(inverse(B),inverse(A)),
inference(paramod,[status(thm)],[c_27,c_6]) ).
cnf(c_285,plain,
double_divide(inverse(inverse(double_divide(A,inverse(double_divide(B,inverse(C)))))),inverse(C)) = double_divide(inverse(B),inverse(A)),
inference(paramod,[status(thm)],[c_86,c_284]) ).
cnf(c_96,plain,
double_divide(inverse(A),inverse(inverse(double_divide(B,inverse(double_divide(C,inverse(A))))))) = double_divide(inverse(C),inverse(B)),
inference(paramod,[status(thm)],[c_91,c_285]) ).
cnf(c_286,plain,
double_divide(inverse(inverse(double_divide(double_divide(A,inverse(B)),inverse(double_divide(A,inverse(C)))))),inverse(C)) = B,
inference(paramod,[status(thm)],[c_86,c_6]) ).
cnf(c_287,plain,
double_divide(inverse(C),inverse(inverse(double_divide(double_divide(A,inverse(B)),inverse(double_divide(A,inverse(C))))))) = B,
inference(paramod,[status(thm)],[c_91,c_286]) ).
cnf(c_105,plain,
double_divide(inverse(A),inverse(double_divide(A,inverse(B)))) = B,
inference(paramod,[status(thm)],[c_96,c_287]) ).
cnf(c_288,plain,
double_divide(inverse(A),inverse(double_divide(B,inverse(B)))) = A,
inference(paramod,[status(thm)],[c_93,c_83]) ).
cnf(c_110,plain,
inverse(inverse(A)) = A,
inference(paramod,[status(thm)],[c_95,c_288]) ).
cnf(c_289,plain,
inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))) = double_divide(inverse(inverse(C)),B),
inference(paramod,[status(thm)],[c_93,c_44]) ).
cnf(c_112,plain,
inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))) = double_divide(C,B),
inference(paramod,[status(thm)],[c_110,c_289]) ).
cnf(c_290,plain,
double_divide(inverse(inverse(double_divide(A,B))),B) = A,
inference(paramod,[status(thm)],[c_93,c_37]) ).
cnf(c_115,plain,
double_divide(double_divide(A,B),B) = A,
inference(paramod,[status(thm)],[c_110,c_290]) ).
cnf(c_291,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3))))
| inverse(inverse(a2)) != a2 ),
inference(paramod,[status(thm)],[c_95,c_35]) ).
cnf(c_292,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3))))
| a2 != a2 ),
inference(paramod,[status(thm)],[c_110,c_291]) ).
cnf(c_116,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| inverse(double_divide(inverse(double_divide(c3,b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))) ),
inference(copy,[status(thm)],[c_292]) ).
cnf(c_293,plain,
double_divide(A,inverse(B)) = double_divide(inverse(B),inverse(inverse(A))),
inference(paramod,[status(thm)],[c_110,c_91]) ).
cnf(c_294,plain,
double_divide(A,inverse(B)) = double_divide(inverse(B),A),
inference(paramod,[status(thm)],[c_110,c_293]) ).
cnf(c_149,plain,
double_divide(inverse(A),B) = double_divide(B,inverse(A)),
inference(copy,[status(thm)],[c_294]) ).
cnf(c_295,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| inverse(double_divide(a3,inverse(double_divide(c3,b3)))) != inverse(double_divide(c3,inverse(double_divide(b3,a3)))) ),
inference(paramod,[status(thm)],[c_149,c_116]) ).
cnf(c_160,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(a3,inverse(double_divide(c3,b3)))) ),
inference(copy,[status(thm)],[c_295]) ).
cnf(c_296,plain,
double_divide(A,B) = double_divide(B,inverse(inverse(A))),
inference(paramod,[status(thm)],[c_110,c_149]) ).
cnf(c_165,plain,
double_divide(A,B) = double_divide(B,A),
inference(paramod,[status(thm)],[c_110,c_296]) ).
cnf(c_297,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| inverse(double_divide(c3,inverse(double_divide(a3,b3)))) != inverse(double_divide(a3,inverse(double_divide(c3,b3)))) ),
inference(paramod,[status(thm)],[c_165,c_160]) ).
cnf(c_298,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| inverse(double_divide(c3,inverse(double_divide(a3,b3)))) != inverse(double_divide(a3,inverse(double_divide(b3,c3)))) ),
inference(paramod,[status(thm)],[c_165,c_297]) ).
cnf(c_299,plain,
( inverse(double_divide(a4,b4)) != inverse(double_divide(a4,b4))
| inverse(double_divide(c3,inverse(double_divide(a3,b3)))) != inverse(double_divide(a3,inverse(double_divide(b3,c3)))) ),
inference(paramod,[status(thm)],[c_165,c_298]) ).
cnf(c_167,plain,
inverse(double_divide(c3,inverse(double_divide(a3,b3)))) != inverse(double_divide(a3,inverse(double_divide(b3,c3)))),
inference(copy,[status(thm)],[c_299]) ).
cnf(c_169,plain,
double_divide(A,double_divide(B,A)) = B,
inference(paramod,[status(thm)],[c_165,c_115]) ).
cnf(c_171,plain,
double_divide(A,double_divide(A,B)) = B,
inference(paramod,[status(thm)],[c_165,c_169]) ).
cnf(c_181,plain,
double_divide(inverse(A),inverse(double_divide(A,B))) = inverse(B),
inference(paramod,[status(thm)],[c_110,c_105]) ).
cnf(c_300,plain,
double_divide(inverse(A),B) = inverse(double_divide(A,inverse(B))),
inference(paramod,[status(thm)],[c_105,c_171]) ).
cnf(c_184,plain,
inverse(double_divide(A,inverse(B))) = double_divide(inverse(A),B),
inference(copy,[status(thm)],[c_300]) ).
cnf(c_301,plain,
double_divide(inverse(c3),double_divide(a3,b3)) != inverse(double_divide(a3,inverse(double_divide(b3,c3)))),
inference(paramod,[status(thm)],[c_184,c_167]) ).
cnf(c_186,plain,
double_divide(inverse(c3),double_divide(a3,b3)) != double_divide(inverse(a3),double_divide(b3,c3)),
inference(paramod,[status(thm)],[c_184,c_301]) ).
cnf(c_197,plain,
inverse(double_divide(double_divide(A,B),double_divide(inverse(A),C))) = double_divide(C,B),
inference(paramod,[status(thm)],[c_184,c_112]) ).
cnf(c_302,plain,
double_divide(inverse(A),inverse(B)) = inverse(double_divide(B,A)),
inference(paramod,[status(thm)],[c_169,c_181]) ).
cnf(c_203,plain,
inverse(double_divide(A,B)) = double_divide(inverse(B),inverse(A)),
inference(copy,[status(thm)],[c_302]) ).
cnf(c_303,plain,
double_divide(inverse(double_divide(inverse(A),C)),inverse(double_divide(A,B))) = double_divide(C,B),
inference(paramod,[status(thm)],[c_203,c_197]) ).
cnf(c_304,plain,
double_divide(double_divide(inverse(C),inverse(inverse(A))),inverse(double_divide(A,B))) = double_divide(C,B),
inference(paramod,[status(thm)],[c_203,c_303]) ).
cnf(c_305,plain,
double_divide(double_divide(inverse(C),A),inverse(double_divide(A,B))) = double_divide(C,B),
inference(paramod,[status(thm)],[c_110,c_304]) ).
cnf(c_207,plain,
double_divide(double_divide(inverse(A),B),double_divide(inverse(C),inverse(B))) = double_divide(A,C),
inference(paramod,[status(thm)],[c_203,c_305]) ).
cnf(c_226,plain,
double_divide(double_divide(inverse(A),B),double_divide(A,C)) = double_divide(inverse(C),inverse(B)),
inference(paramod,[status(thm)],[c_207,c_171]) ).
cnf(c_306,plain,
double_divide(A,double_divide(B,C)) = double_divide(inverse(C),inverse(double_divide(A,inverse(B)))),
inference(paramod,[status(thm)],[c_169,c_226]) ).
cnf(c_307,plain,
double_divide(A,double_divide(B,C)) = double_divide(inverse(C),double_divide(inverse(inverse(B)),inverse(A))),
inference(paramod,[status(thm)],[c_203,c_306]) ).
cnf(c_308,plain,
double_divide(A,double_divide(B,C)) = double_divide(inverse(C),double_divide(B,inverse(A))),
inference(paramod,[status(thm)],[c_110,c_307]) ).
cnf(c_250,plain,
double_divide(inverse(A),double_divide(B,inverse(C))) = double_divide(C,double_divide(B,A)),
inference(copy,[status(thm)],[c_308]) ).
cnf(c_309,plain,
double_divide(inverse(c3),double_divide(a3,b3)) != double_divide(inverse(c3),double_divide(b3,inverse(inverse(a3)))),
inference(paramod,[status(thm)],[c_250,c_186]) ).
cnf(c_310,plain,
double_divide(inverse(c3),double_divide(a3,b3)) != double_divide(inverse(c3),double_divide(b3,a3)),
inference(paramod,[status(thm)],[c_110,c_309]) ).
cnf(c_311,plain,
double_divide(inverse(c3),double_divide(a3,b3)) != double_divide(inverse(c3),double_divide(a3,b3)),
inference(paramod,[status(thm)],[c_165,c_310]) ).
cnf(c_267,plain,
$false,
inference(copy,[status(thm)],[c_311]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP105-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n005.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Fri Sep 25 14:22:32 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.43 % Process 3685953 was started by sandbox on n005,
% 0.16/0.43 % Fri Sep 25 14:22:32 2026
% 0.16/0.43 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.16/0.44
% 0.16/0.44 % From the command line: assign(max_seconds, 300).
% 0.66/0.56
% 0.66/0.56 % Assigning unary symbol inverse kb_weight 0 and highest precedence (13).
% 0.66/0.56
% 0.66/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.66/0.56
% 0.66/0.56 % Proof 1 at 0.08 (+ 0.02) seconds.
% 0.66/0.56 % Length of proof is 45.
% 0.66/0.56 % Level of proof is 19.
% 0.66/0.56 % Maximum clause weight is 81.000.
% 0.66/0.56 % Given clauses 43.
% 0.66/0.56
% 0.66/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------