%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP486-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 12:34:30 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.54s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 5
% Syntax : Number of formulae : 145 ( 145 unt; 0 def)
% Number of atoms : 145 ( 144 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 298 ( 298 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(A,double_divide(double_divide(double_divide(A,B),C),double_divide(B,identity))),double_divide(identity,identity)) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = double_divide(double_divide(B,A),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = double_divide(A,inverse(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/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)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,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(f17,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f18,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,f16]) ).
fof(f19,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f17]) ).
fof(f20,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f19,f19]) ).
fof(f21,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f17,f19]) ).
fof(f29,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f17,f9]) ).
fof(f31,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f17]) ).
fof(f34,plain,
! [X0] : multiply(multiply(identity,X0),inverse(X0)) = inverse(identity),
inference(paramodulation,[status(thm)],[f19,f31]) ).
fof(f155,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)],[f18,f18]) ).
fof(f156,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)],[f18,f18]) ).
fof(f157,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f29,f18]) ).
fof(f159,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(double_divide(X0,X1)),inverse(X1))),inverse(identity)) = identity,
inference(paramodulation,[status(thm)],[f8,f18]) ).
fof(f163,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)],[f18,f18]) ).
fof(f167,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,f18]) ).
fof(f169,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,inverse(X1)),X2),multiply(identity,X1))),inverse(identity)) = X2,
inference(paramodulation,[status(thm)],[f19,f18]) ).
fof(f175,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,f155]) ).
fof(f176,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)],[f17,f156]) ).
fof(f178,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(multiply(X1,X0),inverse(X1))),inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f17,f159]) ).
fof(f188,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),multiply(identity,identity))),inverse(identity)) = X3,
inference(forward_demodulation,[status(thm)],[f19,f163]) ).
fof(f196,plain,
! [X0] : double_divide(double_divide(X0,identity),inverse(identity)) = multiply(identity,X0),
inference(paramodulation,[status(thm)],[f9,f157]) ).
fof(f200,plain,
! [X0,X1] : double_divide(double_divide(X0,multiply(X1,double_divide(X0,identity))),inverse(identity)) = double_divide(identity,inverse(X1)),
inference(paramodulation,[status(thm)],[f157,f18]) ).
fof(f207,plain,
! [X0] : double_divide(inverse(X0),inverse(identity)) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f8,f196]) ).
fof(f210,plain,
! [X0,X1] : double_divide(double_divide(X0,multiply(X1,inverse(X0))),inverse(identity)) = double_divide(identity,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f8,f200]) ).
fof(f218,plain,
! [X0,X1] : double_divide(multiply(X0,X1),inverse(identity)) = multiply(identity,double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f17,f207]) ).
fof(f223,plain,
! [X0] : multiply(inverse(identity),inverse(X0)) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f207,f17]) ).
fof(f226,plain,
! [X0,X1] : double_divide(multiply(X0,X1),inverse(identity)) = inverse(multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f21,f218]) ).
fof(f231,plain,
! [X0] : multiply(inverse(identity),inverse(X0)) = multiply(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f20,f223]) ).
fof(f235,plain,
! [X0,X1] : multiply(inverse(identity),multiply(X0,X1)) = multiply(identity,inverse(double_divide(X1,X0))),
inference(paramodulation,[status(thm)],[f17,f231]) ).
fof(f242,plain,
! [X0,X1] : multiply(inverse(identity),multiply(X0,X1)) = multiply(identity,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f17,f235]) ).
fof(f314,plain,
! [X0,X1] : double_divide(double_divide(multiply(X0,X1),double_divide(multiply(identity,multiply(X0,X1)),inverse(inverse(identity)))),inverse(identity)) = identity,
inference(paramodulation,[status(thm)],[f242,f178]) ).
fof(f321,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),inverse(identity)) = double_divide(multiply(X1,double_divide(X0,identity)),inverse(X1)),
inference(paramodulation,[status(thm)],[f178,f18]) ).
fof(f322,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(double_divide(multiply(X1,X0),inverse(X1))))),inverse(identity)) = inverse(identity),
inference(paramodulation,[status(thm)],[f178,f18]) ).
fof(f340,plain,
! [X0,X1] : double_divide(double_divide(multiply(X0,X1),double_divide(multiply(identity,multiply(X0,X1)),multiply(identity,identity))),inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f19,f314]) ).
fof(f346,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(identity)) = double_divide(multiply(X1,double_divide(X0,identity)),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f8,f321]) ).
fof(f347,plain,
! [X0,X1] : multiply(identity,X0) = double_divide(multiply(X1,double_divide(X0,identity)),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f207,f346]) ).
fof(f348,plain,
! [X0,X1] : multiply(identity,X0) = double_divide(multiply(X1,inverse(X0)),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f8,f347]) ).
fof(f349,plain,
! [X0,X1] : multiply(double_divide(multiply(X0,X1),inverse(X0)),X1) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f157,f322]) ).
fof(f354,plain,
! [X0] : multiply(identity,X0) = inverse(multiply(identity,inverse(X0))),
inference(paramodulation,[status(thm)],[f226,f348]) ).
fof(f355,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(identity),inverse(multiply(identity,X0))),
inference(paramodulation,[status(thm)],[f34,f348]) ).
fof(f371,plain,
! [X0] : multiply(identity,X0) = multiply(identity,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f20,f354]) ).
fof(f380,plain,
! [X0] : multiply(identity,X0) = multiply(identity,multiply(identity,X0)),
inference(forward_demodulation,[status(thm)],[f19,f371]) ).
fof(f381,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(identity),multiply(identity,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f20,f355]) ).
fof(f463,plain,
! [X0] : multiply(inverse(multiply(identity,X0)),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f226,f349]) ).
fof(f482,plain,
! [X0] : multiply(multiply(identity,inverse(X0)),X0) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f20,f463]) ).
fof(f525,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(inverse(identity),multiply(identity,multiply(identity,X0))),
inference(paramodulation,[status(thm)],[f19,f381]) ).
fof(f537,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(inverse(identity),multiply(identity,X0)),
inference(forward_demodulation,[status(thm)],[f380,f525]) ).
fof(f674,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)],[f157,f175]) ).
fof(f682,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),inverse(identity)) = double_divide(double_divide(multiply(identity,X0),X1),inverse(inverse(identity))),
inference(paramodulation,[status(thm)],[f207,f175]) ).
fof(f692,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(X0,X1),inverse(identity))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f175,f18]) ).
fof(f705,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,double_divide(inverse(X1),identity)),
inference(forward_demodulation,[status(thm)],[f157,f674]) ).
fof(f706,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,inverse(inverse(X1))),
inference(forward_demodulation,[status(thm)],[f8,f705]) ).
fof(f711,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,multiply(identity,X1)),
inference(forward_demodulation,[status(thm)],[f19,f706]) ).
fof(f725,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),inverse(identity)) = double_divide(double_divide(multiply(identity,X0),X1),multiply(identity,identity)),
inference(forward_demodulation,[status(thm)],[f19,f682]) ).
fof(f869,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),identity),inverse(X1))),identity),inverse(identity)) = identity,
inference(paramodulation,[status(thm)],[f29,f188]) ).
fof(f872,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),multiply(X2,inverse(X3))),inverse(X1))),double_divide(multiply(identity,X3),multiply(identity,identity))),inverse(identity)) = inverse(X2),
inference(paramodulation,[status(thm)],[f348,f188]) ).
fof(f927,plain,
! [X0,X1] : double_divide(inverse(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),identity),inverse(X1)))),inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f8,f869]) ).
fof(f928,plain,
! [X0,X1] : multiply(identity,double_divide(X0,double_divide(double_divide(double_divide(X0,X1),identity),inverse(X1)))) = identity,
inference(forward_demodulation,[status(thm)],[f207,f927]) ).
fof(f929,plain,
! [X0,X1] : inverse(multiply(double_divide(double_divide(double_divide(X0,X1),identity),inverse(X1)),X0)) = identity,
inference(forward_demodulation,[status(thm)],[f21,f928]) ).
fof(f930,plain,
! [X0,X1] : inverse(multiply(double_divide(inverse(double_divide(X0,X1)),inverse(X1)),X0)) = identity,
inference(forward_demodulation,[status(thm)],[f8,f929]) ).
fof(f931,plain,
! [X0,X1] : inverse(multiply(double_divide(multiply(X0,X1),inverse(X0)),X1)) = identity,
inference(forward_demodulation,[status(thm)],[f17,f930]) ).
fof(f932,plain,
inverse(inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f349,f931]) ).
fof(f966,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),inverse(identity)) = double_divide(double_divide(multiply(identity,X0),X1),identity),
inference(backward_demodulation,[status(thm)],[f973,f725]) ).
fof(f970,plain,
! [X0,X1] : double_divide(double_divide(multiply(X0,X1),double_divide(multiply(identity,multiply(X0,X1)),identity)),inverse(identity)) = identity,
inference(backward_demodulation,[status(thm)],[f973,f340]) ).
fof(f973,plain,
multiply(identity,identity) = identity,
inference(forward_demodulation,[status(thm)],[f19,f932]) ).
fof(f982,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),multiply(X2,inverse(X3))),inverse(X1))),double_divide(multiply(identity,X3),identity)),inverse(identity)) = inverse(X2),
inference(forward_demodulation,[status(thm)],[f973,f872]) ).
fof(f983,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),multiply(X2,inverse(X3))),inverse(X1))),inverse(multiply(identity,X3))),inverse(identity)) = inverse(X2),
inference(forward_demodulation,[status(thm)],[f8,f982]) ).
fof(f984,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),multiply(X2,inverse(X3))),inverse(X1))),multiply(identity,inverse(X3))),inverse(identity)) = inverse(X2),
inference(forward_demodulation,[status(thm)],[f20,f983]) ).
fof(f1140,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),inverse(identity)) = inverse(double_divide(multiply(identity,X0),X1)),
inference(forward_demodulation,[status(thm)],[f8,f966]) ).
fof(f1141,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),inverse(identity)) = multiply(X1,multiply(identity,X0)),
inference(forward_demodulation,[status(thm)],[f17,f1140]) ).
fof(f1144,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1)),X0) = X2,
inference(backward_demodulation,[status(thm)],[f1225,f18]) ).
fof(f1145,plain,
! [X0,X1,X2] : multiply(double_divide(X0,multiply(inverse(X1),double_divide(double_divide(X2,X1),X0))),X2) = inverse(identity),
inference(backward_demodulation,[status(thm)],[f1225,f176]) ).
fof(f1152,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),inverse(identity)),inverse(X0)) = X1,
inference(backward_demodulation,[status(thm)],[f1225,f692]) ).
fof(f1156,plain,
! [X0,X1] : double_divide(double_divide(X0,multiply(X1,inverse(X0))),inverse(identity)) = X1,
inference(backward_demodulation,[status(thm)],[f1225,f167]) ).
fof(f1190,plain,
! [X0,X1,X2,X3] : multiply(multiply(identity,inverse(X0)),double_divide(X1,double_divide(double_divide(double_divide(X1,X2),multiply(X3,inverse(X0))),inverse(X2)))) = inverse(X3),
inference(backward_demodulation,[status(thm)],[f1225,f984]) ).
fof(f1202,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = double_divide(identity,inverse(X0)),
inference(backward_demodulation,[status(thm)],[f1225,f210]) ).
fof(f1211,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(double_divide(X0,inverse(X1)),X2),multiply(identity,X1)),X0) = X2,
inference(backward_demodulation,[status(thm)],[f1225,f169]) ).
fof(f1225,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),inverse(identity)) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f711,f1141]) ).
fof(f1234,plain,
! [X0,X1] : multiply(double_divide(multiply(identity,multiply(X0,X1)),identity),multiply(X0,X1)) = identity,
inference(forward_demodulation,[status(thm)],[f1225,f970]) ).
fof(f1235,plain,
! [X0,X1] : multiply(inverse(multiply(identity,multiply(X0,X1))),multiply(X0,X1)) = identity,
inference(forward_demodulation,[status(thm)],[f8,f1234]) ).
fof(f1236,plain,
! [X0,X1] : multiply(multiply(identity,inverse(multiply(X0,X1))),multiply(X0,X1)) = identity,
inference(forward_demodulation,[status(thm)],[f20,f1235]) ).
fof(f1253,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,multiply(identity,X0)),
inference(backward_demodulation,[status(thm)],[f1264,f537]) ).
fof(f1264,plain,
inverse(identity) = identity,
inference(forward_demodulation,[status(thm)],[f482,f1236]) ).
fof(f1272,plain,
! [X0,X1,X2] : multiply(double_divide(X0,multiply(inverse(X1),double_divide(double_divide(X2,X1),X0))),X2) = identity,
inference(forward_demodulation,[status(thm)],[f1264,f1145]) ).
fof(f1278,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f1225,f1152]) ).
fof(f1284,plain,
! [X0] : double_divide(identity,inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f210,f1156]) ).
fof(f1329,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f1284,f1202]) ).
fof(f1442,plain,
! [X0] : double_divide(identity,multiply(identity,X0)) = inverse(X0),
inference(paramodulation,[status(thm)],[f19,f1284]) ).
fof(f1447,plain,
! [X0] : multiply(inverse(X0),identity) = inverse(X0),
inference(paramodulation,[status(thm)],[f1284,f17]) ).
fof(f1459,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),double_divide(X1,double_divide(double_divide(double_divide(X1,X2),multiply(X3,inverse(X0))),inverse(X2)))) = inverse(X3),
inference(backward_demodulation,[status(thm)],[f1464,f1190]) ).
fof(f1464,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f1253,f1442]) ).
fof(f1480,plain,
! [X0,X1] : multiply(multiply(X0,X1),identity) = inverse(double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f17,f1447]) ).
fof(f1485,plain,
! [X0,X1] : multiply(multiply(X0,X1),identity) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f17,f1480]) ).
fof(f1488,plain,
! [X0] : multiply(multiply(X0,identity),identity) = X0,
inference(paramodulation,[status(thm)],[f1264,f1329]) ).
fof(f1503,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f1485,f1488]) ).
fof(f1510,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),inverse(inverse(X0))),identity) = X1,
inference(paramodulation,[status(thm)],[f1284,f1144]) ).
fof(f1524,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),inverse(inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f1503,f1510]) ).
fof(f1525,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),multiply(identity,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f19,f1524]) ).
fof(f1547,plain,
! [X0,X1] : multiply(identity,multiply(X0,X1)) = inverse(double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f17,f1464]) ).
fof(f1554,plain,
! [X0,X1] : multiply(identity,multiply(X0,X1)) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f17,f1547]) ).
fof(f1607,plain,
! [X0,X1,X2] : multiply(X0,inverse(X1)) = double_divide(double_divide(double_divide(X1,X2),X0),inverse(X2)),
inference(paramodulation,[status(thm)],[f1144,f1278]) ).
fof(f1623,plain,
! [X0,X1,X2] : multiply(inverse(X0),double_divide(X1,multiply(multiply(X2,inverse(X0)),inverse(X1)))) = inverse(X2),
inference(backward_demodulation,[status(thm)],[f1607,f1459]) ).
fof(f1669,plain,
! [X0,X1] : multiply(identity,X0) = multiply(multiply(X0,inverse(X1)),X1),
inference(paramodulation,[status(thm)],[f1329,f1554]) ).
fof(f1683,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f1713,f21]) ).
fof(f1690,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f1713,f1525]) ).
fof(f1699,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(double_divide(X0,inverse(X1)),X2),X1),X0) = X2,
inference(backward_demodulation,[status(thm)],[f1713,f1211]) ).
fof(f1713,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f1329,f1669]) ).
fof(f1777,plain,
! [X0,X1,X2] : multiply(identity,X0) = double_divide(X1,multiply(inverse(X2),double_divide(double_divide(inverse(X0),X2),X1))),
inference(paramodulation,[status(thm)],[f1272,f1329]) ).
fof(f1778,plain,
! [X0,X1,X2] : multiply(identity,inverse(X0)) = double_divide(X1,multiply(inverse(X2),double_divide(double_divide(X0,X2),X1))),
inference(paramodulation,[status(thm)],[f1272,f1278]) ).
fof(f1793,plain,
! [X0,X1,X2] : X0 = double_divide(X1,multiply(inverse(X2),double_divide(double_divide(inverse(X0),X2),X1))),
inference(forward_demodulation,[status(thm)],[f1713,f1777]) ).
fof(f1795,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(backward_demodulation,[status(thm)],[f1799,f1793]) ).
fof(f1799,plain,
! [X0,X1,X2] : inverse(X0) = double_divide(X1,multiply(inverse(X2),double_divide(double_divide(X0,X2),X1))),
inference(forward_demodulation,[status(thm)],[f1713,f1778]) ).
fof(f1916,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f1690,f1690]) ).
fof(f1921,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f1690,f17]) ).
fof(f1941,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f1916,f17]) ).
fof(f1975,plain,
! [X0,X1] : multiply(inverse(X0),X1) = double_divide(X0,inverse(X1)),
inference(paramodulation,[status(thm)],[f1941,f1329]) ).
fof(f1987,plain,
! [X0,X1,X2] : double_divide(X0,inverse(double_divide(X1,multiply(multiply(X2,inverse(X0)),inverse(X1))))) = inverse(X2),
inference(backward_demodulation,[status(thm)],[f1975,f1623]) ).
fof(f1997,plain,
! [X0,X1,X2] : double_divide(X0,multiply(multiply(multiply(X1,inverse(X0)),inverse(X2)),X2)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f17,f1987]) ).
fof(f2008,plain,
! [X0,X1] : double_divide(X0,multiply(X1,inverse(X0))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f1329,f1997]) ).
fof(f2035,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X0),inverse(X1)),
inference(paramodulation,[status(thm)],[f1795,f1975]) ).
fof(f2037,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = double_divide(double_divide(X1,X0),inverse(X2)),
inference(paramodulation,[status(thm)],[f17,f1975]) ).
fof(f2130,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = inverse(multiply(X1,inverse(X0))),
inference(paramodulation,[status(thm)],[f2008,f1921]) ).
fof(f2159,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
inference(forward_demodulation,[status(thm)],[f1683,f2130]) ).
fof(f2602,plain,
! [X0,X1,X2] : double_divide(inverse(double_divide(double_divide(double_divide(inverse(X0),inverse(X1)),X2),X1)),X0) = X2,
inference(paramodulation,[status(thm)],[f2159,f1699]) ).
fof(f2616,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(double_divide(X0,X1),X2),inverse(X1)),X0) = X2,
inference(paramodulation,[status(thm)],[f1795,f1699]) ).
fof(f2630,plain,
! [X0,X1,X2] : double_divide(multiply(X0,double_divide(double_divide(inverse(X1),inverse(X0)),X2)),X1) = X2,
inference(forward_demodulation,[status(thm)],[f17,f2602]) ).
fof(f2631,plain,
! [X0,X1,X2] : double_divide(multiply(X0,double_divide(multiply(X1,X0),X2)),X1) = X2,
inference(forward_demodulation,[status(thm)],[f2035,f2630]) ).
fof(f2661,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,double_divide(X1,X2)),X2),X1) = X0,
inference(forward_demodulation,[status(thm)],[f2037,f2616]) ).
fof(f2692,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = double_divide(double_divide(double_divide(double_divide(X2,X1),inverse(X3)),X0),X3),
inference(paramodulation,[status(thm)],[f1699,f2661]) ).
fof(f2726,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = double_divide(double_divide(multiply(multiply(X1,X2),X3),X0),X3),
inference(forward_demodulation,[status(thm)],[f2037,f2692]) ).
fof(f2861,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),X2) = double_divide(X1,multiply(X2,X0)),
inference(paramodulation,[status(thm)],[f1916,f2631]) ).
fof(f2898,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = double_divide(double_divide(X3,multiply(X0,multiply(X1,X2))),X3),
inference(backward_demodulation,[status(thm)],[f2861,f2726]) ).
fof(f2989,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f3008,f10]) ).
fof(f3008,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f1690,f2898]) ).
fof(f3023,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f2989]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP486-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n017.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 20 20:09:56 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.43 % Drodi V4.1.1
% 0.15/0.54 % Refutation found
% 0.15/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.59 % Elapsed time: 0.150230 seconds
% 0.22/0.59 % CPU time: 0.666629 seconds
% 0.22/0.59 % Total memory used: 22.970 MB
% 0.22/0.59 % Net memory used: 21.852 MB
%------------------------------------------------------------------------------