%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP110-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 07:27:21 AM UTC 2026
% Result : Unsatisfiable 0.92s 0.56s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 3
% Syntax : Number of formulae : 168 ( 133 unt; 0 def)
% Number of atoms : 264 ( 263 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 228 ( 132 ~; 96 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 12 ( 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 : 452 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(single_axiom,axiom,
! [VAR_0,VAR_1,VAR_2] : inverse(double_divide(inverse(double_divide(inverse(double_divide(VAR_0,VAR_1)),VAR_2)),double_divide(VAR_0,VAR_2))) = VAR_1,
file('theBenchmark.p',single_axiom) ).
cnf(c_1,plain,
inverse(double_divide(inverse(double_divide(inverse(double_divide(A,B)),C)),double_divide(A,C))) = B,
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_656,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_657,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_656]) ).
cnf(c_658,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_657]) ).
cnf(c_659,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_658]) ).
cnf(c_660,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_659]) ).
cnf(c_661,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_660]) ).
cnf(c_662,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_661]) ).
cnf(c_663,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_662]) ).
cnf(c_664,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_663]) ).
cnf(c_665,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_664]) ).
cnf(c_666,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_665]) ).
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_666]) ).
cnf(c_5,plain,
inverse(double_divide(inverse(double_divide(A,B)),double_divide(inverse(double_divide(inverse(double_divide(C,A)),D)),B))) = double_divide(C,D),
inference(paramod,[status(thm)],[c_1,c_1]) ).
cnf(c_6,plain,
inverse(double_divide(A,double_divide(inverse(double_divide(B,A)),double_divide(B,C)))) = C,
inference(paramod,[status(thm)],[c_1,c_1]) ).
cnf(c_7,plain,
inverse(double_divide(inverse(double_divide(double_divide(A,B),C)),double_divide(inverse(double_divide(D,E)),C))) = double_divide(inverse(double_divide(inverse(double_divide(A,D)),B)),E),
inference(paramod,[status(thm)],[c_5,c_1]) ).
cnf(c_9,plain,
inverse(double_divide(A,double_divide(inverse(double_divide(inverse(double_divide(B,inverse(double_divide(inverse(double_divide(C,A)),D)))),E)),double_divide(C,D)))) = double_divide(B,E),
inference(paramod,[status(thm)],[c_1,c_5]) ).
cnf(c_10,plain,
inverse(double_divide(inverse(double_divide(A,B)),double_divide(C,B))) = double_divide(inverse(double_divide(D,C)),double_divide(D,A)),
inference(paramod,[status(thm)],[c_1,c_5]) ).
cnf(c_667,plain,
A = double_divide(B,inverse(double_divide(C,double_divide(inverse(double_divide(B,C)),A)))),
inference(paramod,[status(thm)],[c_6,c_5]) ).
cnf(c_18,plain,
double_divide(A,inverse(double_divide(B,double_divide(inverse(double_divide(A,B)),C)))) = C,
inference(copy,[status(thm)],[c_667]) ).
cnf(c_23,plain,
inverse(inverse(double_divide(inverse(double_divide(double_divide(A,B),C)),double_divide(inverse(double_divide(D,double_divide(A,B))),C)))) = D,
inference(paramod,[status(thm)],[c_7,c_1]) ).
cnf(c_41,plain,
double_divide(inverse(double_divide(A,B)),double_divide(A,inverse(double_divide(B,C)))) = C,
inference(paramod,[status(thm)],[c_10,c_1]) ).
cnf(c_67,plain,
inverse(double_divide(inverse(double_divide(double_divide(A,B),C)),double_divide(inverse(double_divide(D,double_divide(inverse(double_divide(A,D)),E))),C))) = inverse(double_divide(inverse(double_divide(E,F)),double_divide(B,F))),
inference(paramod,[status(thm)],[c_10,c_7]) ).
cnf(c_75,plain,
double_divide(inverse(double_divide(A,B)),double_divide(A,C)) = double_divide(inverse(double_divide(D,B)),double_divide(D,C)),
inference(paramod,[status(thm)],[c_10,c_10]) ).
cnf(c_119,plain,
inverse(double_divide(inverse(double_divide(inverse(double_divide(A,B)),double_divide(A,C))),double_divide(D,double_divide(D,C)))) = B,
inference(paramod,[status(thm)],[c_75,c_1]) ).
cnf(c_668,plain,
inverse(double_divide(inverse(double_divide(A,B)),double_divide(inverse(double_divide(inverse(double_divide(C,A)),double_divide(C,D))),B))) = double_divide(E,double_divide(E,D)),
inference(paramod,[status(thm)],[c_75,c_5]) ).
cnf(c_125,plain,
double_divide(A,double_divide(A,B)) = double_divide(C,double_divide(C,B)),
inference(paramod,[status(thm)],[c_5,c_668]) ).
cnf(c_126,plain,
inverse(double_divide(inverse(double_divide(A,double_divide(inverse(double_divide(B,A)),C))),double_divide(inverse(double_divide(D,E)),double_divide(D,C)))) = double_divide(B,E),
inference(paramod,[status(thm)],[c_75,c_5]) ).
cnf(c_669,plain,
double_divide(A,double_divide(B,C)) = double_divide(inverse(double_divide(D,double_divide(inverse(double_divide(E,B)),double_divide(E,A)))),double_divide(D,C)),
inference(paramod,[status(thm)],[c_6,c_75]) ).
cnf(c_129,plain,
double_divide(inverse(double_divide(A,double_divide(inverse(double_divide(B,C)),double_divide(B,D)))),double_divide(A,E)) = double_divide(D,double_divide(C,E)),
inference(copy,[status(thm)],[c_669]) ).
cnf(c_153,plain,
inverse(double_divide(inverse(double_divide(inverse(double_divide(A,double_divide(A,B))),C)),double_divide(D,C))) = double_divide(D,B),
inference(paramod,[status(thm)],[c_125,c_1]) ).
cnf(c_670,plain,
multiply(double_divide(A,B),A) = inverse(double_divide(C,double_divide(C,B))),
inference(paramod,[status(thm)],[c_125,c_2]) ).
cnf(c_155,plain,
inverse(double_divide(A,double_divide(A,B))) = inverse(double_divide(C,double_divide(C,B))),
inference(paramod,[status(thm)],[c_2,c_670]) ).
cnf(c_161,plain,
inverse(double_divide(A,double_divide(inverse(double_divide(B,A)),double_divide(C,double_divide(C,D))))) = double_divide(B,D),
inference(paramod,[status(thm)],[c_125,c_6]) ).
cnf(c_176,plain,
double_divide(inverse(double_divide(A,B)),double_divide(A,inverse(double_divide(C,double_divide(C,D))))) = double_divide(B,D),
inference(paramod,[status(thm)],[c_125,c_41]) ).
cnf(c_177,plain,
double_divide(inverse(double_divide(A,B)),C) = double_divide(D,double_divide(D,double_divide(A,inverse(double_divide(B,C))))),
inference(paramod,[status(thm)],[c_41,c_125]) ).
cnf(c_183,plain,
inverse(double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(double_divide(C,D)),double_divide(B,D))))) = inverse(double_divide(E,double_divide(E,double_divide(A,C)))),
inference(paramod,[status(thm)],[c_10,c_155]) ).
cnf(c_190,plain,
inverse(double_divide(inverse(double_divide(inverse(double_divide(A,double_divide(inverse(double_divide(B,A)),C))),D)),double_divide(inverse(double_divide(inverse(C),E)),D))) = double_divide(B,E),
inference(paramod,[status(thm)],[c_18,c_5]) ).
cnf(c_202,plain,
inverse(double_divide(inverse(double_divide(A,B)),double_divide(inverse(double_divide(C,double_divide(inverse(double_divide(D,C)),E))),B))) = double_divide(inverse(E),double_divide(D,A)),
inference(paramod,[status(thm)],[c_18,c_10]) ).
cnf(c_203,plain,
inverse(double_divide(inverse(double_divide(inverse(double_divide(A,double_divide(inverse(double_divide(B,A)),C))),D)),double_divide(E,D))) = double_divide(inverse(double_divide(B,E)),C),
inference(paramod,[status(thm)],[c_18,c_10]) ).
cnf(c_671,plain,
double_divide(inverse(E),double_divide(A,double_divide(A,B))) = inverse(double_divide(inverse(double_divide(E,F)),double_divide(B,F))),
inference(paramod,[status(thm)],[c_202,c_67]) ).
cnf(c_219,plain,
inverse(double_divide(inverse(double_divide(A,B)),double_divide(C,B))) = double_divide(inverse(A),double_divide(D,double_divide(D,C))),
inference(copy,[status(thm)],[c_671]) ).
cnf(c_221,plain,
double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),C)))),B) = double_divide(A,C),
inference(paramod,[status(thm)],[c_203,c_190]) ).
cnf(c_326,plain,
inverse(double_divide(inverse(double_divide(A,B)),double_divide(inverse(double_divide(C,A)),D))) = double_divide(C,inverse(double_divide(inverse(B),D))),
inference(paramod,[status(thm)],[c_221,c_5]) ).
cnf(c_363,plain,
inverse(double_divide(A,double_divide(inverse(double_divide(B,C)),double_divide(D,C)))) = double_divide(B,double_divide(D,A)),
inference(paramod,[status(thm)],[c_221,c_9]) ).
cnf(c_376,plain,
inverse(double_divide(A,inverse(double_divide(inverse(B),B)))) = A,
inference(paramod,[status(thm)],[c_326,c_23]) ).
cnf(c_378,plain,
inverse(double_divide(inverse(double_divide(A,B)),double_divide(A,B))) = inverse(double_divide(inverse(C),C)),
inference(paramod,[status(thm)],[c_376,c_1]) ).
cnf(c_672,plain,
inverse(double_divide(A,inverse(double_divide(B,double_divide(inverse(double_divide(inverse(double_divide(C,B)),D)),double_divide(C,D)))))) = A,
inference(paramod,[status(thm)],[c_1,c_376]) ).
cnf(c_673,plain,
inverse(double_divide(A,double_divide(inverse(double_divide(C,B)),double_divide(C,B)))) = A,
inference(paramod,[status(thm)],[c_363,c_672]) ).
cnf(c_380,plain,
double_divide(A,double_divide(A,B)) = B,
inference(paramod,[status(thm)],[c_363,c_673]) ).
cnf(c_674,plain,
inverse(double_divide(inverse(double_divide(inverse(A),A)),double_divide(B,double_divide(B,C)))) = C,
inference(paramod,[status(thm)],[c_376,c_6]) ).
cnf(c_385,plain,
inverse(double_divide(inverse(double_divide(inverse(A),A)),B)) = B,
inference(paramod,[status(thm)],[c_380,c_674]) ).
cnf(c_675,plain,
inverse(double_divide(inverse(double_divide(A,B)),double_divide(inverse(double_divide(inverse(C),C)),B))) = double_divide(D,double_divide(D,A)),
inference(paramod,[status(thm)],[c_376,c_10]) ).
cnf(c_394,plain,
inverse(double_divide(inverse(double_divide(A,B)),double_divide(inverse(double_divide(inverse(C),C)),B))) = A,
inference(paramod,[status(thm)],[c_380,c_675]) ).
cnf(c_676,plain,
inverse(double_divide(A,inverse(double_divide(double_divide(inverse(double_divide(B,C)),double_divide(B,D)),double_divide(inverse(double_divide(D,E)),double_divide(C,E)))))) = A,
inference(paramod,[status(thm)],[c_10,c_376]) ).
cnf(c_395,plain,
inverse(double_divide(A,double_divide(B,double_divide(C,double_divide(inverse(double_divide(D,C)),double_divide(D,B)))))) = A,
inference(paramod,[status(thm)],[c_363,c_676]) ).
cnf(c_424,plain,
inverse(double_divide(inverse(double_divide(A,B)),double_divide(C,B))) = double_divide(inverse(A),C),
inference(paramod,[status(thm)],[c_380,c_219]) ).
cnf(c_677,plain,
inverse(double_divide(inverse(double_divide(A,B)),double_divide(inverse(C),B))) = inverse(double_divide(E,double_divide(E,double_divide(A,C)))),
inference(paramod,[status(thm)],[c_424,c_183]) ).
cnf(c_678,plain,
double_divide(inverse(A),inverse(C)) = inverse(double_divide(E,double_divide(E,double_divide(A,C)))),
inference(paramod,[status(thm)],[c_424,c_677]) ).
cnf(c_679,plain,
double_divide(inverse(A),inverse(C)) = inverse(double_divide(A,C)),
inference(paramod,[status(thm)],[c_380,c_678]) ).
cnf(c_429,plain,
inverse(double_divide(A,B)) = double_divide(inverse(A),inverse(B)),
inference(copy,[status(thm)],[c_679]) ).
cnf(c_680,plain,
double_divide(double_divide(inverse(A),inverse(B)),C) = double_divide(D,double_divide(D,double_divide(A,inverse(double_divide(B,C))))),
inference(paramod,[status(thm)],[c_429,c_177]) ).
cnf(c_681,plain,
double_divide(double_divide(inverse(A),inverse(B)),C) = double_divide(D,double_divide(D,double_divide(A,double_divide(inverse(B),inverse(C))))),
inference(paramod,[status(thm)],[c_429,c_680]) ).
cnf(c_432,plain,
double_divide(double_divide(inverse(A),inverse(B)),C) = double_divide(A,double_divide(inverse(B),inverse(C))),
inference(paramod,[status(thm)],[c_380,c_681]) ).
cnf(c_682,plain,
double_divide(double_divide(inverse(A),inverse(B)),double_divide(A,inverse(double_divide(C,double_divide(C,D))))) = double_divide(B,D),
inference(paramod,[status(thm)],[c_429,c_176]) ).
cnf(c_433,plain,
double_divide(double_divide(inverse(A),inverse(B)),double_divide(A,inverse(C))) = double_divide(B,C),
inference(paramod,[status(thm)],[c_380,c_682]) ).
cnf(c_683,plain,
inverse(double_divide(A,double_divide(double_divide(inverse(B),inverse(A)),double_divide(C,double_divide(C,D))))) = double_divide(B,D),
inference(paramod,[status(thm)],[c_429,c_161]) ).
cnf(c_684,plain,
inverse(double_divide(A,double_divide(double_divide(inverse(B),inverse(A)),D))) = double_divide(B,D),
inference(paramod,[status(thm)],[c_380,c_683]) ).
cnf(c_685,plain,
double_divide(inverse(A),inverse(double_divide(double_divide(inverse(B),inverse(A)),D))) = double_divide(B,D),
inference(paramod,[status(thm)],[c_429,c_684]) ).
cnf(c_686,plain,
double_divide(inverse(A),double_divide(inverse(double_divide(inverse(B),inverse(A))),inverse(D))) = double_divide(B,D),
inference(paramod,[status(thm)],[c_429,c_685]) ).
cnf(c_442,plain,
double_divide(inverse(A),double_divide(double_divide(inverse(inverse(B)),inverse(inverse(A))),inverse(C))) = double_divide(B,C),
inference(paramod,[status(thm)],[c_429,c_686]) ).
cnf(c_687,plain,
inverse(double_divide(inverse(double_divide(inverse(B),C)),double_divide(D,C))) = double_divide(D,B),
inference(paramod,[status(thm)],[c_380,c_153]) ).
cnf(c_688,plain,
inverse(double_divide(double_divide(inverse(inverse(B)),inverse(C)),double_divide(D,C))) = double_divide(D,B),
inference(paramod,[status(thm)],[c_429,c_687]) ).
cnf(c_689,plain,
double_divide(inverse(double_divide(inverse(inverse(B)),inverse(C))),inverse(double_divide(D,C))) = double_divide(D,B),
inference(paramod,[status(thm)],[c_429,c_688]) ).
cnf(c_690,plain,
double_divide(double_divide(inverse(inverse(inverse(B))),inverse(inverse(C))),inverse(double_divide(D,C))) = double_divide(D,B),
inference(paramod,[status(thm)],[c_429,c_689]) ).
cnf(c_445,plain,
double_divide(double_divide(inverse(inverse(inverse(A))),inverse(inverse(B))),double_divide(inverse(C),inverse(B))) = double_divide(C,A),
inference(paramod,[status(thm)],[c_429,c_690]) ).
cnf(c_691,plain,
inverse(double_divide(inverse(double_divide(double_divide(inverse(A),inverse(B)),double_divide(A,C))),double_divide(D,double_divide(D,C)))) = B,
inference(paramod,[status(thm)],[c_429,c_119]) ).
cnf(c_692,plain,
inverse(double_divide(double_divide(inverse(double_divide(inverse(A),inverse(B))),inverse(double_divide(A,C))),double_divide(D,double_divide(D,C)))) = B,
inference(paramod,[status(thm)],[c_429,c_691]) ).
cnf(c_693,plain,
inverse(double_divide(double_divide(double_divide(inverse(inverse(A)),inverse(inverse(B))),inverse(double_divide(A,C))),double_divide(D,double_divide(D,C)))) = B,
inference(paramod,[status(thm)],[c_429,c_692]) ).
cnf(c_694,plain,
inverse(double_divide(double_divide(double_divide(inverse(inverse(A)),inverse(inverse(B))),double_divide(inverse(A),inverse(C))),double_divide(D,double_divide(D,C)))) = B,
inference(paramod,[status(thm)],[c_429,c_693]) ).
cnf(c_695,plain,
inverse(double_divide(double_divide(inverse(B),C),double_divide(D,double_divide(D,C)))) = B,
inference(paramod,[status(thm)],[c_433,c_694]) ).
cnf(c_696,plain,
inverse(double_divide(double_divide(inverse(B),C),C)) = B,
inference(paramod,[status(thm)],[c_380,c_695]) ).
cnf(c_697,plain,
double_divide(inverse(double_divide(inverse(B),C)),inverse(C)) = B,
inference(paramod,[status(thm)],[c_429,c_696]) ).
cnf(c_447,plain,
double_divide(double_divide(inverse(inverse(A)),inverse(B)),inverse(B)) = A,
inference(paramod,[status(thm)],[c_429,c_697]) ).
cnf(c_698,plain,
inverse(double_divide(double_divide(inverse(A),inverse(B)),double_divide(inverse(double_divide(inverse(C),C)),B))) = A,
inference(paramod,[status(thm)],[c_429,c_394]) ).
cnf(c_699,plain,
inverse(double_divide(double_divide(inverse(A),inverse(B)),double_divide(double_divide(inverse(inverse(C)),inverse(C)),B))) = A,
inference(paramod,[status(thm)],[c_429,c_698]) ).
cnf(c_700,plain,
double_divide(inverse(double_divide(inverse(A),inverse(B))),inverse(double_divide(double_divide(inverse(inverse(C)),inverse(C)),B))) = A,
inference(paramod,[status(thm)],[c_429,c_699]) ).
cnf(c_701,plain,
double_divide(double_divide(inverse(inverse(A)),inverse(inverse(B))),inverse(double_divide(double_divide(inverse(inverse(C)),inverse(C)),B))) = A,
inference(paramod,[status(thm)],[c_429,c_700]) ).
cnf(c_702,plain,
double_divide(double_divide(inverse(inverse(A)),inverse(inverse(B))),double_divide(inverse(double_divide(inverse(inverse(C)),inverse(C))),inverse(B))) = A,
inference(paramod,[status(thm)],[c_429,c_701]) ).
cnf(c_456,plain,
double_divide(double_divide(inverse(inverse(A)),inverse(inverse(B))),double_divide(double_divide(inverse(inverse(inverse(C))),inverse(inverse(C))),inverse(B))) = A,
inference(paramod,[status(thm)],[c_429,c_702]) ).
cnf(c_703,plain,
inverse(double_divide(double_divide(inverse(A),inverse(B)),double_divide(A,B))) = inverse(double_divide(inverse(C),C)),
inference(paramod,[status(thm)],[c_429,c_378]) ).
cnf(c_704,plain,
double_divide(inverse(double_divide(inverse(A),inverse(B))),inverse(double_divide(A,B))) = inverse(double_divide(inverse(C),C)),
inference(paramod,[status(thm)],[c_429,c_703]) ).
cnf(c_705,plain,
double_divide(double_divide(inverse(inverse(A)),inverse(inverse(B))),inverse(double_divide(A,B))) = inverse(double_divide(inverse(C),C)),
inference(paramod,[status(thm)],[c_429,c_704]) ).
cnf(c_706,plain,
double_divide(double_divide(inverse(inverse(A)),inverse(inverse(B))),double_divide(inverse(A),inverse(B))) = inverse(double_divide(inverse(C),C)),
inference(paramod,[status(thm)],[c_429,c_705]) ).
cnf(c_707,plain,
double_divide(inverse(B),B) = inverse(double_divide(inverse(C),C)),
inference(paramod,[status(thm)],[c_433,c_706]) ).
cnf(c_708,plain,
double_divide(inverse(B),B) = double_divide(inverse(inverse(C)),inverse(C)),
inference(paramod,[status(thm)],[c_429,c_707]) ).
cnf(c_457,plain,
double_divide(inverse(inverse(A)),inverse(A)) = double_divide(inverse(B),B),
inference(copy,[status(thm)],[c_708]) ).
cnf(c_709,plain,
inverse(double_divide(inverse(double_divide(A,double_divide(double_divide(inverse(B),inverse(A)),C))),double_divide(inverse(double_divide(D,E)),double_divide(D,C)))) = double_divide(B,E),
inference(paramod,[status(thm)],[c_429,c_126]) ).
cnf(c_710,plain,
inverse(double_divide(double_divide(inverse(A),inverse(double_divide(double_divide(inverse(B),inverse(A)),C))),double_divide(inverse(double_divide(D,E)),double_divide(D,C)))) = double_divide(B,E),
inference(paramod,[status(thm)],[c_429,c_709]) ).
cnf(c_711,plain,
inverse(double_divide(double_divide(inverse(A),double_divide(inverse(double_divide(inverse(B),inverse(A))),inverse(C))),double_divide(inverse(double_divide(D,E)),double_divide(D,C)))) = double_divide(B,E),
inference(paramod,[status(thm)],[c_429,c_710]) ).
cnf(c_712,plain,
inverse(double_divide(double_divide(inverse(A),double_divide(double_divide(inverse(inverse(B)),inverse(inverse(A))),inverse(C))),double_divide(inverse(double_divide(D,E)),double_divide(D,C)))) = double_divide(B,E),
inference(paramod,[status(thm)],[c_429,c_711]) ).
cnf(c_713,plain,
inverse(double_divide(double_divide(B,C),double_divide(inverse(double_divide(D,E)),double_divide(D,C)))) = double_divide(B,E),
inference(paramod,[status(thm)],[c_442,c_712]) ).
cnf(c_714,plain,
inverse(double_divide(double_divide(B,C),double_divide(double_divide(inverse(D),inverse(E)),double_divide(D,C)))) = double_divide(B,E),
inference(paramod,[status(thm)],[c_429,c_713]) ).
cnf(c_715,plain,
double_divide(inverse(double_divide(B,C)),inverse(double_divide(double_divide(inverse(D),inverse(E)),double_divide(D,C)))) = double_divide(B,E),
inference(paramod,[status(thm)],[c_429,c_714]) ).
cnf(c_716,plain,
double_divide(double_divide(inverse(B),inverse(C)),inverse(double_divide(double_divide(inverse(D),inverse(E)),double_divide(D,C)))) = double_divide(B,E),
inference(paramod,[status(thm)],[c_429,c_715]) ).
cnf(c_717,plain,
double_divide(double_divide(inverse(B),inverse(C)),double_divide(inverse(double_divide(inverse(D),inverse(E))),inverse(double_divide(D,C)))) = double_divide(B,E),
inference(paramod,[status(thm)],[c_429,c_716]) ).
cnf(c_718,plain,
double_divide(double_divide(inverse(B),inverse(C)),double_divide(double_divide(inverse(inverse(D)),inverse(inverse(E))),inverse(double_divide(D,C)))) = double_divide(B,E),
inference(paramod,[status(thm)],[c_429,c_717]) ).
cnf(c_719,plain,
double_divide(double_divide(inverse(B),inverse(C)),double_divide(double_divide(inverse(inverse(D)),inverse(inverse(E))),double_divide(inverse(D),inverse(C)))) = double_divide(B,E),
inference(paramod,[status(thm)],[c_429,c_718]) ).
cnf(c_481,plain,
double_divide(double_divide(inverse(A),inverse(B)),double_divide(inverse(C),B)) = double_divide(A,C),
inference(paramod,[status(thm)],[c_433,c_719]) ).
cnf(c_720,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
| double_divide(inverse(b1),inverse(inverse(b1))) != inverse(double_divide(a1,inverse(a1))) ),
inference(paramod,[status(thm)],[c_429,c_4]) ).
cnf(c_721,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
| double_divide(inverse(b1),inverse(inverse(b1))) != double_divide(inverse(a1),inverse(inverse(a1))) ),
inference(paramod,[status(thm)],[c_429,c_720]) ).
cnf(c_722,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,double_divide(inverse(b2),inverse(inverse(b2))))) != a2
| double_divide(inverse(b1),inverse(inverse(b1))) != double_divide(inverse(a1),inverse(inverse(a1))) ),
inference(paramod,[status(thm)],[c_429,c_721]) ).
cnf(c_723,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))))
| double_divide(inverse(a2),inverse(double_divide(inverse(b2),inverse(inverse(b2))))) != a2
| double_divide(inverse(b1),inverse(inverse(b1))) != double_divide(inverse(a1),inverse(inverse(a1))) ),
inference(paramod,[status(thm)],[c_429,c_722]) ).
cnf(c_724,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))))
| double_divide(inverse(a2),double_divide(inverse(inverse(b2)),inverse(inverse(inverse(b2))))) != a2
| double_divide(inverse(b1),inverse(inverse(b1))) != double_divide(inverse(a1),inverse(inverse(a1))) ),
inference(paramod,[status(thm)],[c_429,c_723]) ).
cnf(c_725,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| inverse(double_divide(double_divide(inverse(c3),inverse(b3)),a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3))))
| double_divide(inverse(a2),double_divide(inverse(inverse(b2)),inverse(inverse(inverse(b2))))) != a2
| double_divide(inverse(b1),inverse(inverse(b1))) != double_divide(inverse(a1),inverse(inverse(a1))) ),
inference(paramod,[status(thm)],[c_429,c_724]) ).
cnf(c_726,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| double_divide(inverse(double_divide(inverse(c3),inverse(b3))),inverse(a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3))))
| double_divide(inverse(a2),double_divide(inverse(inverse(b2)),inverse(inverse(inverse(b2))))) != a2
| double_divide(inverse(b1),inverse(inverse(b1))) != double_divide(inverse(a1),inverse(inverse(a1))) ),
inference(paramod,[status(thm)],[c_429,c_725]) ).
cnf(c_727,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| double_divide(double_divide(inverse(inverse(c3)),inverse(inverse(b3))),inverse(a3)) != inverse(double_divide(c3,inverse(double_divide(b3,a3))))
| double_divide(inverse(a2),double_divide(inverse(inverse(b2)),inverse(inverse(inverse(b2))))) != a2
| double_divide(inverse(b1),inverse(inverse(b1))) != double_divide(inverse(a1),inverse(inverse(a1))) ),
inference(paramod,[status(thm)],[c_429,c_726]) ).
cnf(c_728,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| double_divide(double_divide(inverse(inverse(c3)),inverse(inverse(b3))),inverse(a3)) != inverse(double_divide(c3,double_divide(inverse(b3),inverse(a3))))
| double_divide(inverse(a2),double_divide(inverse(inverse(b2)),inverse(inverse(inverse(b2))))) != a2
| double_divide(inverse(b1),inverse(inverse(b1))) != double_divide(inverse(a1),inverse(inverse(a1))) ),
inference(paramod,[status(thm)],[c_429,c_727]) ).
cnf(c_729,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| double_divide(double_divide(inverse(inverse(c3)),inverse(inverse(b3))),inverse(a3)) != double_divide(inverse(c3),inverse(double_divide(inverse(b3),inverse(a3))))
| double_divide(inverse(a2),double_divide(inverse(inverse(b2)),inverse(inverse(inverse(b2))))) != a2
| double_divide(inverse(b1),inverse(inverse(b1))) != double_divide(inverse(a1),inverse(inverse(a1))) ),
inference(paramod,[status(thm)],[c_429,c_728]) ).
cnf(c_730,plain,
( inverse(double_divide(b4,a4)) != inverse(double_divide(a4,b4))
| double_divide(double_divide(inverse(inverse(c3)),inverse(inverse(b3))),inverse(a3)) != double_divide(inverse(c3),double_divide(inverse(inverse(b3)),inverse(inverse(a3))))
| double_divide(inverse(a2),double_divide(inverse(inverse(b2)),inverse(inverse(inverse(b2))))) != a2
| double_divide(inverse(b1),inverse(inverse(b1))) != double_divide(inverse(a1),inverse(inverse(a1))) ),
inference(paramod,[status(thm)],[c_429,c_729]) ).
cnf(c_731,plain,
( double_divide(inverse(b4),inverse(a4)) != inverse(double_divide(a4,b4))
| double_divide(double_divide(inverse(inverse(c3)),inverse(inverse(b3))),inverse(a3)) != double_divide(inverse(c3),double_divide(inverse(inverse(b3)),inverse(inverse(a3))))
| double_divide(inverse(a2),double_divide(inverse(inverse(b2)),inverse(inverse(inverse(b2))))) != a2
| double_divide(inverse(b1),inverse(inverse(b1))) != double_divide(inverse(a1),inverse(inverse(a1))) ),
inference(paramod,[status(thm)],[c_429,c_730]) ).
cnf(c_732,plain,
( double_divide(inverse(b4),inverse(a4)) != double_divide(inverse(a4),inverse(b4))
| double_divide(double_divide(inverse(inverse(c3)),inverse(inverse(b3))),inverse(a3)) != double_divide(inverse(c3),double_divide(inverse(inverse(b3)),inverse(inverse(a3))))
| double_divide(inverse(a2),double_divide(inverse(inverse(b2)),inverse(inverse(inverse(b2))))) != a2
| double_divide(inverse(b1),inverse(inverse(b1))) != double_divide(inverse(a1),inverse(inverse(a1))) ),
inference(paramod,[status(thm)],[c_429,c_731]) ).
cnf(c_482,plain,
( double_divide(inverse(b4),inverse(a4)) != double_divide(inverse(a4),inverse(b4))
| double_divide(inverse(a2),double_divide(inverse(inverse(b2)),inverse(inverse(inverse(b2))))) != a2
| double_divide(inverse(b1),inverse(inverse(b1))) != double_divide(inverse(a1),inverse(inverse(a1))) ),
inference(resolve,[status(thm)],[c_432,c_732]) ).
cnf(c_733,plain,
inverse(double_divide(A,double_divide(B,double_divide(C,double_divide(double_divide(inverse(D),inverse(C)),double_divide(D,B)))))) = A,
inference(paramod,[status(thm)],[c_429,c_395]) ).
cnf(c_734,plain,
double_divide(inverse(A),inverse(double_divide(B,double_divide(C,double_divide(double_divide(inverse(D),inverse(C)),double_divide(D,B)))))) = A,
inference(paramod,[status(thm)],[c_429,c_733]) ).
cnf(c_735,plain,
double_divide(inverse(A),double_divide(inverse(B),inverse(double_divide(C,double_divide(double_divide(inverse(D),inverse(C)),double_divide(D,B)))))) = A,
inference(paramod,[status(thm)],[c_429,c_734]) ).
cnf(c_736,plain,
double_divide(inverse(A),double_divide(inverse(B),double_divide(inverse(C),inverse(double_divide(double_divide(inverse(D),inverse(C)),double_divide(D,B)))))) = A,
inference(paramod,[status(thm)],[c_429,c_735]) ).
cnf(c_737,plain,
double_divide(inverse(A),double_divide(inverse(B),double_divide(inverse(C),double_divide(inverse(double_divide(inverse(D),inverse(C))),inverse(double_divide(D,B)))))) = A,
inference(paramod,[status(thm)],[c_429,c_736]) ).
cnf(c_738,plain,
double_divide(inverse(A),double_divide(inverse(B),double_divide(inverse(C),double_divide(double_divide(inverse(inverse(D)),inverse(inverse(C))),inverse(double_divide(D,B)))))) = A,
inference(paramod,[status(thm)],[c_429,c_737]) ).
cnf(c_739,plain,
double_divide(inverse(A),double_divide(inverse(B),double_divide(inverse(C),double_divide(double_divide(inverse(inverse(D)),inverse(inverse(C))),double_divide(inverse(D),inverse(B)))))) = A,
inference(paramod,[status(thm)],[c_429,c_738]) ).
cnf(c_740,plain,
double_divide(inverse(A),double_divide(inverse(B),double_divide(inverse(C),double_divide(inverse(C),B)))) = A,
inference(paramod,[status(thm)],[c_433,c_739]) ).
cnf(c_496,plain,
double_divide(inverse(A),double_divide(inverse(B),B)) = A,
inference(paramod,[status(thm)],[c_380,c_740]) ).
cnf(c_741,plain,
inverse(double_divide(double_divide(inverse(inverse(A)),inverse(A)),B)) = B,
inference(paramod,[status(thm)],[c_429,c_385]) ).
cnf(c_742,plain,
double_divide(inverse(double_divide(inverse(inverse(A)),inverse(A))),inverse(B)) = B,
inference(paramod,[status(thm)],[c_429,c_741]) ).
cnf(c_499,plain,
double_divide(double_divide(inverse(inverse(inverse(A))),inverse(inverse(A))),inverse(B)) = B,
inference(paramod,[status(thm)],[c_429,c_742]) ).
cnf(c_743,plain,
double_divide(inverse(double_divide(A,double_divide(double_divide(inverse(B),inverse(C)),double_divide(B,D)))),double_divide(A,E)) = double_divide(D,double_divide(C,E)),
inference(paramod,[status(thm)],[c_429,c_129]) ).
cnf(c_744,plain,
double_divide(double_divide(inverse(A),inverse(double_divide(double_divide(inverse(B),inverse(C)),double_divide(B,D)))),double_divide(A,E)) = double_divide(D,double_divide(C,E)),
inference(paramod,[status(thm)],[c_429,c_743]) ).
cnf(c_745,plain,
double_divide(double_divide(inverse(A),double_divide(inverse(double_divide(inverse(B),inverse(C))),inverse(double_divide(B,D)))),double_divide(A,E)) = double_divide(D,double_divide(C,E)),
inference(paramod,[status(thm)],[c_429,c_744]) ).
cnf(c_746,plain,
double_divide(double_divide(inverse(A),double_divide(double_divide(inverse(inverse(B)),inverse(inverse(C))),inverse(double_divide(B,D)))),double_divide(A,E)) = double_divide(D,double_divide(C,E)),
inference(paramod,[status(thm)],[c_429,c_745]) ).
cnf(c_747,plain,
double_divide(double_divide(inverse(A),double_divide(double_divide(inverse(inverse(B)),inverse(inverse(C))),double_divide(inverse(B),inverse(D)))),double_divide(A,E)) = double_divide(D,double_divide(C,E)),
inference(paramod,[status(thm)],[c_429,c_746]) ).
cnf(c_526,plain,
double_divide(double_divide(inverse(A),double_divide(inverse(B),C)),double_divide(A,D)) = double_divide(C,double_divide(B,D)),
inference(paramod,[status(thm)],[c_433,c_747]) ).
cnf(c_542,plain,
double_divide(inverse(inverse(A)),B) = double_divide(B,A),
inference(paramod,[status(thm)],[c_481,c_445]) ).
cnf(c_543,plain,
double_divide(double_divide(inverse(inverse(A)),inverse(inverse(B))),B) = A,
inference(paramod,[status(thm)],[c_499,c_456]) ).
cnf(c_748,plain,
double_divide(double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(C)))),double_divide(A,inverse(double_divide(B,inverse(D))))) = double_divide(C,D),
inference(paramod,[status(thm)],[c_433,c_433]) ).
cnf(c_749,plain,
double_divide(double_divide(inverse(A),double_divide(inverse(inverse(B)),inverse(inverse(C)))),double_divide(A,inverse(double_divide(B,inverse(D))))) = double_divide(C,D),
inference(paramod,[status(thm)],[c_429,c_748]) ).
cnf(c_750,plain,
double_divide(double_divide(inverse(A),double_divide(inverse(inverse(B)),inverse(inverse(C)))),double_divide(A,double_divide(inverse(B),inverse(inverse(D))))) = double_divide(C,D),
inference(paramod,[status(thm)],[c_429,c_749]) ).
cnf(c_751,plain,
double_divide(inverse(inverse(C)),double_divide(inverse(B),double_divide(inverse(B),inverse(inverse(D))))) = double_divide(C,D),
inference(paramod,[status(thm)],[c_526,c_750]) ).
cnf(c_578,plain,
double_divide(inverse(inverse(A)),inverse(inverse(B))) = double_divide(A,B),
inference(paramod,[status(thm)],[c_380,c_751]) ).
cnf(c_589,plain,
double_divide(double_divide(A,B),B) = A,
inference(paramod,[status(thm)],[c_578,c_543]) ).
cnf(c_599,plain,
( double_divide(inverse(b4),inverse(a4)) != double_divide(inverse(a4),inverse(b4))
| double_divide(inverse(a2),double_divide(b2,inverse(b2))) != a2
| double_divide(inverse(b1),inverse(inverse(b1))) != double_divide(inverse(a1),inverse(inverse(a1))) ),
inference(paramod,[status(thm)],[c_578,c_482]) ).
cnf(c_610,plain,
inverse(inverse(A)) = A,
inference(paramod,[status(thm)],[c_589,c_447]) ).
cnf(c_752,plain,
( double_divide(inverse(b4),inverse(a4)) != double_divide(inverse(a4),inverse(b4))
| double_divide(inverse(a2),double_divide(b2,inverse(b2))) != a2
| double_divide(inverse(b1),b1) != double_divide(inverse(a1),inverse(inverse(a1))) ),
inference(paramod,[status(thm)],[c_610,c_599]) ).
cnf(c_615,plain,
( double_divide(inverse(b4),inverse(a4)) != double_divide(inverse(a4),inverse(b4))
| double_divide(inverse(a2),double_divide(b2,inverse(b2))) != a2
| double_divide(inverse(b1),b1) != double_divide(inverse(a1),a1) ),
inference(paramod,[status(thm)],[c_610,c_752]) ).
cnf(c_632,plain,
double_divide(A,B) = double_divide(B,A),
inference(paramod,[status(thm)],[c_610,c_542]) ).
cnf(c_753,plain,
double_divide(A,inverse(A)) = double_divide(inverse(B),B),
inference(paramod,[status(thm)],[c_610,c_457]) ).
cnf(c_649,plain,
double_divide(A,inverse(A)) = double_divide(B,inverse(B)),
inference(paramod,[status(thm)],[c_632,c_753]) ).
cnf(c_754,plain,
( double_divide(inverse(b4),inverse(a4)) != double_divide(inverse(a4),inverse(b4))
| double_divide(inverse(a2),double_divide(b2,inverse(b2))) != a2
| double_divide(b1,inverse(b1)) != double_divide(inverse(a1),a1) ),
inference(paramod,[status(thm)],[c_632,c_615]) ).
cnf(c_755,plain,
( double_divide(inverse(b4),inverse(a4)) != double_divide(inverse(a4),inverse(b4))
| double_divide(inverse(a2),double_divide(b2,inverse(b2))) != a2
| double_divide(b1,inverse(b1)) != double_divide(a1,inverse(a1)) ),
inference(paramod,[status(thm)],[c_632,c_754]) ).
cnf(c_756,plain,
( double_divide(inverse(a4),inverse(b4)) != double_divide(inverse(a4),inverse(b4))
| double_divide(inverse(a2),double_divide(b2,inverse(b2))) != a2
| double_divide(b1,inverse(b1)) != double_divide(a1,inverse(a1)) ),
inference(paramod,[status(thm)],[c_632,c_755]) ).
cnf(c_757,plain,
( double_divide(inverse(a2),double_divide(b2,inverse(b2))) != a2
| double_divide(b1,inverse(b1)) != double_divide(a1,inverse(a1)) ),
inference(copy,[status(thm)],[c_756]) ).
cnf(c_652,plain,
double_divide(inverse(a2),double_divide(b2,inverse(b2))) != a2,
inference(resolve,[status(thm)],[c_649,c_757]) ).
cnf(c_654,plain,
double_divide(inverse(A),double_divide(B,inverse(B))) = A,
inference(paramod,[status(thm)],[c_632,c_496]) ).
cnf(c_655,plain,
$false,
inference(resolve,[status(thm)],[c_654,c_652]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP110-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n002.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Fri Sep 25 14:25:21 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.42 % Process 3487555 was started by sandbox2 on n002,
% 0.16/0.42 % Fri Sep 25 14:25:21 2026
% 0.16/0.42 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.16/0.43
% 0.16/0.43 % From the command line: assign(max_seconds, 300).
% 0.92/0.56
% 0.92/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.92/0.56
% 0.92/0.56 % Proof 1 at 0.10 (+ 0.02) seconds.
% 0.92/0.56 % Length of proof is 63.
% 0.92/0.56 % Level of proof is 18.
% 0.92/0.56 % Maximum clause weight is 97.000.
% 0.92/0.56 % Given clauses 24.
% 0.92/0.56
% 0.92/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------