%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP609-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 : Thu Sep 24 12:34:47 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 3
% Syntax : Number of formulae : 116 ( 116 unt; 0 def)
% Number of atoms : 116 ( 115 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 379 ( 379 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : inverse(double_divide(inverse(double_divide(inverse(double_divide(A,B)),C)),double_divide(A,C))) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : inverse(double_divide(inverse(double_divide(inverse(double_divide(X0,X1)),X2)),double_divide(X0,X2))) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),inverse(double_divide(inverse(double_divide(X0,X2)),X1))) = X2,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f13,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,inverse(double_divide(X0,X2)))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f12]) ).
fof(f14,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f13]) ).
fof(f15,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),X0) = X2,
inference(paramodulation,[status(thm)],[f14,f14]) ).
fof(f16,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),multiply(X3,X1)) = double_divide(X2,X0),
inference(paramodulation,[status(thm)],[f14,f14]) ).
fof(f17,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X1,X2)),double_divide(multiply(X1,X3),double_divide(X3,X0))) = X2,
inference(paramodulation,[status(thm)],[f15,f15]) ).
fof(f26,plain,
! [X0,X1,X2] : X0 = double_divide(X1,multiply(double_divide(multiply(X2,X1),X0),X2)),
inference(paramodulation,[status(thm)],[f15,f16]) ).
fof(f33,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(multiply(X0,X1),X2),multiply(X2,double_divide(X3,X4))) = double_divide(multiply(X4,multiply(X1,X3)),X0),
inference(paramodulation,[status(thm)],[f14,f16]) ).
fof(f46,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(X1,X2),double_divide(X2,multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f16,f26]) ).
fof(f48,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),X0) = double_divide(X2,multiply(X3,X1)),
inference(paramodulation,[status(thm)],[f26,f26]) ).
fof(f53,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(multiply(double_divide(multiply(X1,multiply(X2,multiply(X3,X4))),X0),X1),X3)) = double_divide(X4,X2),
inference(paramodulation,[status(thm)],[f26,f16]) ).
fof(f54,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(multiply(double_divide(multiply(X0,X1),X2),X0),double_divide(X3,X4)),double_divide(multiply(X3,X1),X2)) = X4,
inference(paramodulation,[status(thm)],[f26,f17]) ).
fof(f55,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),double_divide(multiply(X2,X3),double_divide(X3,X0))) = multiply(double_divide(multiply(X4,X2),X1),X4),
inference(paramodulation,[status(thm)],[f26,f17]) ).
fof(f58,plain,
! [X0,X1,X2] : multiply(multiply(double_divide(multiply(X0,X1),X2),X0),X1) = inverse(X2),
inference(paramodulation,[status(thm)],[f26,f5]) ).
fof(f59,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(multiply(X1,X2),multiply(X0,X3)),X1)) = double_divide(X2,X3),
inference(forward_demodulation,[status(thm)],[f48,f53]) ).
fof(f86,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(double_divide(X0,X1),double_divide(X2,double_divide(X3,X0))),double_divide(multiply(X3,X4),double_divide(X4,X2))) = inverse(X1),
inference(paramodulation,[status(thm)],[f17,f58]) ).
fof(f89,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,multiply(double_divide(multiply(X1,multiply(X2,X0)),X3),X1)),inverse(X3)) = X2,
inference(paramodulation,[status(thm)],[f58,f14]) ).
fof(f91,plain,
! [X0,X1,X2,X3] : X0 = double_divide(inverse(X1),double_divide(X2,multiply(X0,multiply(double_divide(multiply(X3,X2),X1),X3)))),
inference(paramodulation,[status(thm)],[f58,f46]) ).
fof(f96,plain,
! [X0,X1,X2,X3] : multiply(double_divide(inverse(X0),double_divide(X1,X2)),multiply(double_divide(multiply(X3,X1),X0),X3)) = X2,
inference(paramodulation,[status(thm)],[f58,f15]) ).
fof(f100,plain,
! [X0,X1,X2] : multiply(double_divide(X0,double_divide(X0,multiply(X1,X2))),inverse(X1)) = X2,
inference(forward_demodulation,[status(thm)],[f48,f89]) ).
fof(f107,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X0,X1)),inverse(double_divide(X2,X3))) = multiply(X3,multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f14,f100]) ).
fof(f108,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X0,multiply(double_divide(X1,X2),X3))),multiply(X2,X1)) = X3,
inference(paramodulation,[status(thm)],[f5,f100]) ).
fof(f109,plain,
! [X0,X1,X2] : multiply(X0,X1) = inverse(double_divide(multiply(inverse(X2),X1),multiply(X2,X0))),
inference(paramodulation,[status(thm)],[f100,f58]) ).
fof(f110,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),X1),multiply(X0,X2)) = double_divide(X1,X2),
inference(paramodulation,[status(thm)],[f100,f26]) ).
fof(f129,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X0,X1)),multiply(X2,X3)) = multiply(X2,multiply(X1,X3)),
inference(forward_demodulation,[status(thm)],[f5,f107]) ).
fof(f130,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(double_divide(X1,X0),X2),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f129,f108]) ).
fof(f131,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(multiply(X2,X0),multiply(inverse(X2),X1)),
inference(forward_demodulation,[status(thm)],[f5,f109]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(multiply(X0,X1),X2),multiply(X2,X3)) = double_divide(multiply(multiply(double_divide(X4,X3),X1),X4),X0),
inference(paramodulation,[status(thm)],[f130,f16]) ).
fof(f153,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,X2)) = double_divide(multiply(multiply(double_divide(X3,inverse(X1)),X0),X3),X2),
inference(paramodulation,[status(thm)],[f130,f110]) ).
fof(f160,plain,
! [X0,X1,X2,X3] : double_divide(multiply(inverse(double_divide(X0,X1)),X2),X3) = double_divide(X2,multiply(X1,multiply(X3,X0))),
inference(paramodulation,[status(thm)],[f14,f110]) ).
fof(f161,plain,
! [X0,X1,X2,X3] : double_divide(multiply(inverse(X0),X1),X2) = double_divide(X1,multiply(multiply(double_divide(X3,X0),X2),X3)),
inference(paramodulation,[status(thm)],[f130,f110]) ).
fof(f164,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(X2,multiply(double_divide(X2,X1),inverse(X0))),
inference(paramodulation,[status(thm)],[f110,f26]) ).
fof(f178,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,X2)) = double_divide(X3,multiply(double_divide(X3,inverse(X1)),multiply(X2,X0))),
inference(backward_demodulation,[status(thm)],[f195,f153]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(multiply(X0,X1),X2),multiply(X2,X3)) = double_divide(X4,multiply(double_divide(X4,X3),multiply(X0,X1))),
inference(backward_demodulation,[status(thm)],[f195,f149]) ).
fof(f195,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(X0,X1),X2),X3) = double_divide(X2,multiply(X0,multiply(X3,X1))),
inference(forward_demodulation,[status(thm)],[f5,f160]) ).
fof(f199,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,X2)) = double_divide(multiply(inverse(X0),X1),X2),
inference(paramodulation,[status(thm)],[f15,f164]) ).
fof(f201,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = double_divide(multiply(inverse(X1),X3),multiply(double_divide(X3,X2),inverse(X0))),
inference(paramodulation,[status(thm)],[f110,f164]) ).
fof(f203,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(multiply(X1,X2),X3),X1)) = double_divide(X2,multiply(X3,inverse(X0))),
inference(paramodulation,[status(thm)],[f26,f164]) ).
fof(f204,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X2),inverse(X3))) = double_divide(X1,multiply(multiply(X3,X2),inverse(X0))),
inference(paramodulation,[status(thm)],[f164,f164]) ).
fof(f205,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),X2) = double_divide(X3,multiply(double_divide(X3,X2),multiply(X1,X0))),
inference(paramodulation,[status(thm)],[f5,f164]) ).
fof(f208,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,X1),X2),inverse(X3)) = double_divide(X1,multiply(multiply(X3,X2),X0)),
inference(paramodulation,[status(thm)],[f164,f26]) ).
fof(f221,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(X1,double_divide(X3,multiply(double_divide(X3,X2),inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f199,f201]) ).
fof(f222,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(multiply(X1,multiply(X2,X3)),X0),X2)) = double_divide(X3,X1),
inference(backward_demodulation,[status(thm)],[f241,f16]) ).
fof(f226,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(inverse(X2),multiply(multiply(X2,X0),X1)),
inference(backward_demodulation,[status(thm)],[f241,f131]) ).
fof(f229,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(double_divide(multiply(X1,X2),X0),double_divide(X3,X4))) = double_divide(multiply(X4,multiply(X2,X3)),X1),
inference(backward_demodulation,[status(thm)],[f241,f33]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(double_divide(multiply(X1,X2),X0),X3)) = double_divide(X4,multiply(double_divide(X4,X3),multiply(X1,X2))),
inference(backward_demodulation,[status(thm)],[f241,f186]) ).
fof(f241,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f164,f221]) ).
fof(f242,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,inverse(double_divide(inverse(X1),double_divide(X0,X2))))) = X2,
inference(backward_demodulation,[status(thm)],[f203,f96]) ).
fof(f245,plain,
! [X0,X1,X2] : double_divide(X0,multiply(multiply(X1,X2),inverse(X1))) = double_divide(X0,X2),
inference(backward_demodulation,[status(thm)],[f203,f59]) ).
fof(f246,plain,
! [X0,X1,X2] : X0 = double_divide(inverse(X1),double_divide(X2,double_divide(X2,multiply(X1,inverse(X0))))),
inference(backward_demodulation,[status(thm)],[f203,f91]) ).
fof(f247,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,X2)) = multiply(double_divide(X0,X2),inverse(X1)),
inference(backward_demodulation,[status(thm)],[f205,f178]) ).
fof(f260,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(X0,X1),X2),X0) = double_divide(X1,X2),
inference(backward_demodulation,[status(thm)],[f262,f222]) ).
fof(f261,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),double_divide(X2,X3)) = double_divide(multiply(X3,multiply(X0,X2)),X1),
inference(backward_demodulation,[status(thm)],[f262,f229]) ).
fof(f262,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(multiply(X1,X2),X0),X3)) = multiply(double_divide(X2,X1),X3),
inference(forward_demodulation,[status(thm)],[f205,f230]) ).
fof(f265,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,multiply(double_divide(X0,X2),inverse(X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f242]) ).
fof(f266,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(X0,multiply(multiply(X1,X2),inverse(X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f204,f265]) ).
fof(f269,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(backward_demodulation,[status(thm)],[f245,f266]) ).
fof(f272,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),multiply(X2,X3)) = double_divide(X1,multiply(multiply(X2,X3),X0)),
inference(backward_demodulation,[status(thm)],[f247,f208]) ).
fof(f284,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f260,f58]) ).
fof(f286,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),X2) = double_divide(X1,multiply(X2,X0)),
inference(backward_demodulation,[status(thm)],[f260,f48]) ).
fof(f289,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,X2)) = double_divide(X1,multiply(X2,inverse(X0))),
inference(backward_demodulation,[status(thm)],[f260,f203]) ).
fof(f295,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),double_divide(multiply(X2,X3),double_divide(X3,X0))) = double_divide(X2,X1),
inference(backward_demodulation,[status(thm)],[f260,f55]) ).
fof(f296,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,X1),double_divide(X2,X3)),double_divide(multiply(X2,X0),X1)) = X3,
inference(backward_demodulation,[status(thm)],[f260,f54]) ).
fof(f317,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(multiply(double_divide(X0,X1),multiply(X1,X2)),X3),double_divide(multiply(X0,X4),double_divide(X4,X2))) = inverse(X3),
inference(backward_demodulation,[status(thm)],[f261,f86]) ).
fof(f321,plain,
! [X0,X1] : X0 = double_divide(inverse(X1),multiply(X1,inverse(X0))),
inference(backward_demodulation,[status(thm)],[f269,f246]) ).
fof(f347,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,multiply(X2,X3))) = double_divide(X0,multiply(X2,multiply(X1,X3))),
inference(backward_demodulation,[status(thm)],[f286,f195]) ).
fof(f379,plain,
! [X0,X1,X2,X3] : double_divide(multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0))),X3) = double_divide(X2,X3),
inference(forward_demodulation,[status(thm)],[f261,f295]) ).
fof(f380,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,multiply(X1,X2)),multiply(X3,double_divide(X2,X0))) = double_divide(X1,X3),
inference(forward_demodulation,[status(thm)],[f286,f379]) ).
fof(f381,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),multiply(multiply(X2,double_divide(X1,X3)),X3)) = double_divide(X0,X2),
inference(forward_demodulation,[status(thm)],[f272,f380]) ).
fof(f382,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(multiply(multiply(X1,double_divide(X0,X2)),X2),X3)) = double_divide(X3,X1),
inference(forward_demodulation,[status(thm)],[f272,f381]) ).
fof(f383,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,multiply(double_divide(X1,X0),multiply(X2,X1))),double_divide(X2,X3)) = X3,
inference(forward_demodulation,[status(thm)],[f261,f296]) ).
fof(f384,plain,
! [X0,X1,X2,X3] : double_divide(multiply(double_divide(X0,X1),multiply(X2,X0)),multiply(double_divide(X2,X3),X1)) = X3,
inference(forward_demodulation,[status(thm)],[f286,f383]) ).
fof(f385,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),multiply(multiply(double_divide(X0,X2),X3),double_divide(X1,X3))) = X2,
inference(forward_demodulation,[status(thm)],[f272,f384]) ).
fof(f386,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(multiply(multiply(double_divide(X1,X2),X3),double_divide(X0,X3)),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f272,f385]) ).
fof(f453,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(double_divide(X0,X1),multiply(multiply(double_divide(X2,X3),multiply(X3,X1)),multiply(X2,X0))),X4) = inverse(X4),
inference(forward_demodulation,[status(thm)],[f261,f317]) ).
fof(f454,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(multiply(double_divide(X0,X1),multiply(X1,X2)),multiply(X0,X3)),multiply(X4,double_divide(X3,X2))) = inverse(X4),
inference(forward_demodulation,[status(thm)],[f286,f453]) ).
fof(f455,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,X1),multiply(double_divide(X0,X2),multiply(multiply(X3,double_divide(X1,X4)),multiply(X2,X4)))) = inverse(X3),
inference(forward_demodulation,[status(thm)],[f195,f454]) ).
fof(f456,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,multiply(multiply(double_divide(X1,X2),multiply(multiply(X3,double_divide(X0,X4)),multiply(X2,X4))),X1)) = inverse(X3),
inference(forward_demodulation,[status(thm)],[f272,f455]) ).
fof(f457,plain,
! [X0,X1,X2,X3] : double_divide(multiply(inverse(X0),X1),multiply(multiply(X2,double_divide(X1,X3)),multiply(X0,X3))) = inverse(X2),
inference(forward_demodulation,[status(thm)],[f161,f456]) ).
fof(f458,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(X1,multiply(multiply(X2,double_divide(X1,X3)),multiply(X0,X3)))) = inverse(X2),
inference(forward_demodulation,[status(thm)],[f199,f457]) ).
fof(f466,plain,
! [X0,X1] : X0 = multiply(X0,double_divide(inverse(X1),X1)),
inference(forward_demodulation,[status(thm)],[f289,f321]) ).
fof(f499,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f284,f130]) ).
fof(f503,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(inverse(double_divide(X2,X0)),X1),
inference(paramodulation,[status(thm)],[f499,f130]) ).
fof(f506,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(multiply(double_divide(X1,X2),X3),multiply(X1,double_divide(X0,X3)))) = X2,
inference(backward_demodulation,[status(thm)],[f538,f386]) ).
fof(f509,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(multiply(X1,double_divide(X0,X2)),multiply(X3,X2))) = double_divide(X3,X1),
inference(backward_demodulation,[status(thm)],[f538,f382]) ).
fof(f526,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(X1,multiply(X2,multiply(multiply(X0,X3),double_divide(X1,X3))))) = inverse(X2),
inference(backward_demodulation,[status(thm)],[f538,f458]) ).
fof(f537,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(inverse(X2),multiply(X2,multiply(X1,X0))),
inference(backward_demodulation,[status(thm)],[f538,f226]) ).
fof(f538,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X2),X1),
inference(forward_demodulation,[status(thm)],[f5,f503]) ).
fof(f546,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,multiply(multiply(double_divide(X1,X2),X3),double_divide(X0,X3)))) = X2,
inference(forward_demodulation,[status(thm)],[f347,f506]) ).
fof(f547,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,multiply(double_divide(X1,X2),multiply(double_divide(X0,X3),X3)))) = X2,
inference(forward_demodulation,[status(thm)],[f538,f546]) ).
fof(f552,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,multiply(multiply(X2,X3),double_divide(X0,X3)))) = double_divide(X2,X1),
inference(forward_demodulation,[status(thm)],[f538,f509]) ).
fof(f553,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f554,f547]) ).
fof(f554,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,multiply(X2,multiply(double_divide(X0,X3),X3)))) = double_divide(X2,X1),
inference(forward_demodulation,[status(thm)],[f538,f552]) ).
fof(f583,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(X1,multiply(X2,multiply(X0,multiply(double_divide(X1,X3),X3))))) = inverse(X2),
inference(forward_demodulation,[status(thm)],[f538,f526]) ).
fof(f584,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f554,f583]) ).
fof(f591,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(X2,multiply(inverse(X2),multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f241,f537]) ).
fof(f593,plain,
multiply(inverse(a1),a1) != multiply(b1,inverse(b1)),
inference(backward_demodulation,[status(thm)],[f602,f6]) ).
fof(f602,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f499,f591]) ).
fof(f603,plain,
multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)),
inference(forward_demodulation,[status(thm)],[f602,f593]) ).
fof(f621,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f269,f553]) ).
fof(f626,plain,
! [X0,X1] : X0 = multiply(X0,double_divide(X1,inverse(X1))),
inference(backward_demodulation,[status(thm)],[f621,f466]) ).
fof(f712,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
inference(paramodulation,[status(thm)],[f584,f499]) ).
fof(f716,plain,
multiply(a1,inverse(a1)) != double_divide(inverse(b1),b1),
inference(backward_demodulation,[status(thm)],[f712,f603]) ).
fof(f725,plain,
double_divide(inverse(a1),a1) != double_divide(inverse(b1),b1),
inference(forward_demodulation,[status(thm)],[f712,f716]) ).
fof(f726,plain,
double_divide(a1,inverse(a1)) != double_divide(inverse(b1),b1),
inference(forward_demodulation,[status(thm)],[f621,f725]) ).
fof(f727,plain,
double_divide(a1,inverse(a1)) != double_divide(b1,inverse(b1)),
inference(forward_demodulation,[status(thm)],[f621,f726]) ).
fof(f754,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f626,f499]) ).
fof(f763,plain,
! [X0,X1] : double_divide(inverse(X0),X0) = double_divide(X1,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f712,f754]) ).
fof(f765,plain,
! [X0,X1] : double_divide(X0,inverse(X0)) = double_divide(X1,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f621,f763]) ).
fof(f766,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f727,f765]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP609-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n018.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sun Sep 20 20:19:57 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.056945 seconds
% 0.13/0.41 % CPU time: 0.214022 seconds
% 0.13/0.41 % Total memory used: 10.149 MB
% 0.13/0.41 % Net memory used: 9.719 MB
%------------------------------------------------------------------------------