%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP076-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 12:32:27 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.44s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 5
% Syntax : Number of formulae : 116 ( 109 unt; 0 def)
% Number of atoms : 128 ( 127 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 21 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 229 ( 229 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : double_divide(double_divide(X,double_divide(double_divide(double_divide(X,Y),Z),double_divide(Y,identity))),double_divide(identity,identity)) = Z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = double_divide(double_divide(Y,X),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : inverse(X) = double_divide(X,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : identity = double_divide(X,inverse(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2
| multiply(inverse(a1),a1) != identity ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
! [X0] : inverse(X0) = double_divide(X0,identity),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
! [X0] : identity = double_divide(X0,inverse(X0)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2
| multiply(inverse(a1),a1) != identity ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f11,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),inverse(identity)) = X2,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f12,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f13,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),inverse(identity)) = X2,
inference(forward_demodulation,[status(thm)],[f8,f11]) ).
fof(f14,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),inverse(identity)) = double_divide(double_divide(double_divide(double_divide(X0,identity),X2),X1),inverse(X2)),
inference(paramodulation,[status(thm)],[f13,f13]) ).
fof(f15,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(X1,inverse(double_divide(double_divide(double_divide(X0,X2),X1),inverse(X2))))),inverse(identity)) = inverse(identity),
inference(paramodulation,[status(thm)],[f13,f13]) ).
fof(f16,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f9,f13]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),double_divide(double_divide(X2,X3),inverse(inverse(identity)))),inverse(identity)) = X3,
inference(paramodulation,[status(thm)],[f13,f13]) ).
fof(f20,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(inverse(X0),X1),inverse(identity))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f8,f13]) ).
fof(f21,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),inverse(identity)) = double_divide(double_divide(double_divide(inverse(X0),X2),X1),inverse(X2)),
inference(forward_demodulation,[status(thm)],[f8,f14]) ).
fof(f22,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(X1,multiply(inverse(X2),double_divide(double_divide(X0,X2),X1)))),inverse(identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f12,f15]) ).
fof(f23,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f12,f16]) ).
fof(f26,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f12]) ).
fof(f27,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f12]) ).
fof(f28,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,double_divide(X1,X2)),X3),multiply(X2,X1))),inverse(identity)) = X3,
inference(paramodulation,[status(thm)],[f12,f13]) ).
fof(f29,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f12,f9]) ).
fof(f30,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2
| inverse(identity) != identity ),
inference(backward_demodulation,[status(thm)],[f26,f10]) ).
fof(f31,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| inverse(inverse(a2)) != a2
| inverse(identity) != identity ),
inference(forward_demodulation,[status(thm)],[f27,f30]) ).
fof(f66,plain,
! [X0,X1] : double_divide(double_divide(X0,multiply(X1,inverse(X0))),inverse(identity)) = double_divide(identity,inverse(X1)),
inference(paramodulation,[status(thm)],[f29,f21]) ).
fof(f73,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(X0,X1),inverse(identity))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f21,f13]) ).
fof(f132,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = multiply(X1,double_divide(inverse(X0),identity)),
inference(paramodulation,[status(thm)],[f21,f23]) ).
fof(f133,plain,
! [X0] : double_divide(double_divide(X0,identity),inverse(identity)) = multiply(identity,X0),
inference(paramodulation,[status(thm)],[f9,f23]) ).
fof(f145,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,double_divide(inverse(X1),identity)),
inference(forward_demodulation,[status(thm)],[f23,f132]) ).
fof(f146,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,inverse(inverse(X1))),
inference(forward_demodulation,[status(thm)],[f8,f145]) ).
fof(f147,plain,
! [X0] : double_divide(inverse(X0),inverse(identity)) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f8,f133]) ).
fof(f149,plain,
! [X0] : double_divide(inverse(X0),inverse(identity)) = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f27,f147]) ).
fof(f160,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(inverse(inverse(X0)))),
inference(paramodulation,[status(thm)],[f27,f146]) ).
fof(f167,plain,
! [X0] : inverse(inverse(X0)) = inverse(inverse(inverse(inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f27,f160]) ).
fof(f174,plain,
! [X0] : multiply(inverse(identity),inverse(X0)) = inverse(inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f149,f12]) ).
fof(f188,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(inverse(X1)))),inverse(identity)) = multiply(inverse(inverse(inverse(X1))),X0),
inference(paramodulation,[status(thm)],[f167,f23]) ).
fof(f198,plain,
! [X0,X1] : multiply(inverse(X0),X1) = multiply(inverse(inverse(inverse(X0))),X1),
inference(forward_demodulation,[status(thm)],[f23,f188]) ).
fof(f217,plain,
! [X0] : multiply(inverse(identity),X0) = inverse(inverse(inverse(inverse(X0)))),
inference(paramodulation,[status(thm)],[f146,f174]) ).
fof(f232,plain,
! [X0] : multiply(inverse(identity),X0) = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f167,f217]) ).
fof(f251,plain,
inverse(identity) = inverse(inverse(identity)),
inference(paramodulation,[status(thm)],[f26,f232]) ).
fof(f258,plain,
! [X0] : identity = double_divide(double_divide(X0,inverse(identity)),inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f232,f29]) ).
fof(f269,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),double_divide(double_divide(X2,X3),inverse(identity))),inverse(identity)) = X3,
inference(backward_demodulation,[status(thm)],[f251,f18]) ).
fof(f316,plain,
! [X0] : double_divide(double_divide(X0,inverse(inverse(inverse(X0)))),inverse(identity)) = double_divide(identity,inverse(inverse(identity))),
inference(paramodulation,[status(thm)],[f258,f21]) ).
fof(f317,plain,
! [X0] : double_divide(double_divide(X0,double_divide(inverse(inverse(X0)),multiply(inverse(inverse(identity)),identity))),inverse(identity)) = inverse(identity),
inference(paramodulation,[status(thm)],[f258,f22]) ).
fof(f335,plain,
! [X0] : double_divide(double_divide(X0,inverse(inverse(inverse(X0)))),inverse(identity)) = double_divide(identity,inverse(identity)),
inference(forward_demodulation,[status(thm)],[f251,f316]) ).
fof(f336,plain,
! [X0] : double_divide(double_divide(X0,inverse(inverse(inverse(X0)))),inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f9,f335]) ).
fof(f337,plain,
! [X0] : double_divide(double_divide(X0,double_divide(inverse(inverse(X0)),multiply(inverse(identity),identity))),inverse(identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f251,f317]) ).
fof(f338,plain,
! [X0] : double_divide(double_divide(X0,double_divide(inverse(inverse(X0)),inverse(inverse(identity)))),inverse(identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f232,f337]) ).
fof(f339,plain,
! [X0] : double_divide(double_divide(X0,double_divide(inverse(inverse(X0)),inverse(identity))),inverse(identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f251,f338]) ).
fof(f340,plain,
! [X0] : double_divide(double_divide(X0,inverse(inverse(inverse(X0)))),inverse(identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f149,f339]) ).
fof(f348,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| inverse(inverse(a2)) != a2
| identity != identity ),
inference(backward_demodulation,[status(thm)],[f396,f31]) ).
fof(f351,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),identity) = X2,
inference(backward_demodulation,[status(thm)],[f396,f13]) ).
fof(f357,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),double_divide(double_divide(X2,X3),inverse(identity))),identity) = X3,
inference(backward_demodulation,[status(thm)],[f396,f269]) ).
fof(f385,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(X0,X1),inverse(identity))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f396,f73]) ).
fof(f390,plain,
! [X0,X1] : double_divide(double_divide(X0,multiply(X1,inverse(X0))),identity) = double_divide(identity,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f396,f66]) ).
fof(f392,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,double_divide(X1,X2)),X3),multiply(X2,X1))),identity) = X3,
inference(backward_demodulation,[status(thm)],[f396,f28]) ).
fof(f393,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(inverse(X0),X1),inverse(identity))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f396,f20]) ).
fof(f396,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f336,f340]) ).
fof(f415,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| inverse(inverse(a2)) != a2 ),
inference(trivial_equality_resolution,[status(thm)],[f348]) ).
fof(f418,plain,
! [X0,X1,X2] : inverse(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f351]) ).
fof(f420,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1)),X0) = X2,
inference(forward_demodulation,[status(thm)],[f12,f418]) ).
fof(f429,plain,
! [X0,X1,X2,X3] : inverse(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1))),double_divide(double_divide(X2,X3),inverse(identity)))) = X3,
inference(forward_demodulation,[status(thm)],[f8,f357]) ).
fof(f430,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,X1),inverse(identity)),double_divide(X2,double_divide(double_divide(double_divide(X2,X3),X0),inverse(X3)))) = X1,
inference(forward_demodulation,[status(thm)],[f12,f429]) ).
fof(f431,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,X1),identity),double_divide(X2,double_divide(double_divide(double_divide(X2,X3),X0),inverse(X3)))) = X1,
inference(forward_demodulation,[status(thm)],[f396,f430]) ).
fof(f432,plain,
! [X0,X1,X2,X3] : multiply(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(double_divide(double_divide(X2,X3),X0),inverse(X3)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f431]) ).
fof(f433,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(X2,double_divide(double_divide(double_divide(X2,X3),X1),inverse(X3)))) = X0,
inference(forward_demodulation,[status(thm)],[f12,f432]) ).
fof(f492,plain,
! [X0,X1] : inverse(double_divide(inverse(X0),double_divide(double_divide(X0,X1),inverse(identity)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f385]) ).
fof(f493,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),inverse(identity)),inverse(X0)) = X1,
inference(forward_demodulation,[status(thm)],[f12,f492]) ).
fof(f494,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),identity),inverse(X0)) = X1,
inference(forward_demodulation,[status(thm)],[f396,f493]) ).
fof(f495,plain,
! [X0,X1] : multiply(inverse(double_divide(X0,X1)),inverse(X0)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f494]) ).
fof(f496,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f12,f495]) ).
fof(f517,plain,
! [X0,X1] : inverse(double_divide(X0,multiply(X1,inverse(X0)))) = double_divide(identity,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f8,f390]) ).
fof(f518,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = double_divide(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f12,f517]) ).
fof(f521,plain,
! [X0,X1,X2,X3] : inverse(double_divide(X0,double_divide(double_divide(double_divide(X0,double_divide(X1,X2)),X3),multiply(X2,X1)))) = X3,
inference(forward_demodulation,[status(thm)],[f8,f392]) ).
fof(f522,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(double_divide(X0,double_divide(X1,X2)),X3),multiply(X2,X1)),X0) = X3,
inference(forward_demodulation,[status(thm)],[f12,f521]) ).
fof(f523,plain,
! [X0,X1] : inverse(double_divide(X0,double_divide(double_divide(inverse(X0),X1),inverse(identity)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f393]) ).
fof(f524,plain,
! [X0,X1] : multiply(double_divide(double_divide(inverse(X0),X1),inverse(identity)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f12,f523]) ).
fof(f525,plain,
! [X0,X1] : multiply(double_divide(double_divide(inverse(X0),X1),identity),X0) = X1,
inference(forward_demodulation,[status(thm)],[f396,f524]) ).
fof(f526,plain,
! [X0,X1] : multiply(inverse(double_divide(inverse(X0),X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f8,f525]) ).
fof(f527,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f12,f526]) ).
fof(f532,plain,
! [X0] : double_divide(identity,inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f518,f527]) ).
fof(f545,plain,
! [X0,X1] : multiply(double_divide(double_divide(inverse(X0),X1),inverse(identity)),X0) = X1,
inference(paramodulation,[status(thm)],[f8,f420]) ).
fof(f552,plain,
! [X0,X1] : multiply(double_divide(double_divide(inverse(X0),X1),identity),X0) = X1,
inference(forward_demodulation,[status(thm)],[f396,f545]) ).
fof(f553,plain,
! [X0,X1] : multiply(inverse(double_divide(inverse(X0),X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f8,f552]) ).
fof(f554,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f12,f553]) ).
fof(f558,plain,
! [X0,X1,X2,X3] : multiply(multiply(inverse(X0),X1),double_divide(X2,double_divide(double_divide(double_divide(X2,X3),X1),inverse(X3)))) = inverse(inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f198,f433]) ).
fof(f575,plain,
! [X0] : inverse(X0) = inverse(inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f433,f558]) ).
fof(f600,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),inverse(inverse(X0))),identity) = X1,
inference(paramodulation,[status(thm)],[f532,f420]) ).
fof(f647,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(double_divide(double_divide(X0,double_divide(X1,double_divide(double_divide(double_divide(X1,double_divide(X2,X3)),X4),multiply(X3,X2)))),X5),X4),X0) = X5,
inference(paramodulation,[status(thm)],[f522,f522]) ).
fof(f652,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(X1)) = double_divide(double_divide(double_divide(X1,double_divide(X2,X3)),X0),multiply(X3,X2)),
inference(paramodulation,[status(thm)],[f522,f496]) ).
fof(f666,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(double_divide(X0,double_divide(X1,multiply(X2,inverse(X1)))),X3),X2),X0) = X3,
inference(backward_demodulation,[status(thm)],[f652,f647]) ).
fof(f713,plain,
! [X0] : double_divide(identity,inverse(X0)) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f575,f532]) ).
fof(f722,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != a2 ),
inference(backward_demodulation,[status(thm)],[f734,f415]) ).
fof(f727,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),X0),identity) = X1,
inference(backward_demodulation,[status(thm)],[f734,f600]) ).
fof(f734,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f532,f713]) ).
fof(f736,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(trivial_equality_resolution,[status(thm)],[f722]) ).
fof(f742,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f12,f734]) ).
fof(f746,plain,
! [X0] : double_divide(identity,X0) = inverse(X0),
inference(paramodulation,[status(thm)],[f734,f532]) ).
fof(f811,plain,
! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f746,f12]) ).
fof(f812,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f817,f727]) ).
fof(f817,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f734,f811]) ).
fof(f845,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f812,f812]) ).
fof(f873,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f845,f12]) ).
fof(f883,plain,
! [X0,X1] : double_divide(X0,multiply(X1,inverse(X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f554,f742]) ).
fof(f895,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(double_divide(X0,inverse(X1)),X2),X1),X0) = X2,
inference(backward_demodulation,[status(thm)],[f883,f666]) ).
fof(f929,plain,
! [X0,X1] : multiply(inverse(X0),X1) = double_divide(X0,inverse(X1)),
inference(paramodulation,[status(thm)],[f873,f554]) ).
fof(f939,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(multiply(inverse(X0),X1),X2),X1),X0) = X2,
inference(backward_demodulation,[status(thm)],[f929,f895]) ).
fof(f1423,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(double_divide(multiply(inverse(inverse(X1)),X2),X0),X2),
inference(paramodulation,[status(thm)],[f939,f554]) ).
fof(f1463,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(double_divide(multiply(X1,X2),X0),X2),
inference(forward_demodulation,[status(thm)],[f734,f1423]) ).
fof(f2265,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = inverse(double_divide(multiply(X1,X2),X0)),
inference(paramodulation,[status(thm)],[f1463,f873]) ).
fof(f2305,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f2329,f736]) ).
fof(f2329,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f12,f2265]) ).
fof(f2365,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f2305]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP076-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n003.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 19:58:31 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.37 % Drodi V4.1.1
% 0.12/0.44 % Refutation found
% 0.12/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.45 % Elapsed time: 0.092530 seconds
% 0.12/0.45 % CPU time: 0.512581 seconds
% 0.12/0.45 % Total memory used: 81.125 MB
% 0.12/0.45 % Net memory used: 79.183 MB
%------------------------------------------------------------------------------