%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP200-1 : TPTP v9.3.1. Released v2.2.0.
% 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 12:33:05 PM UTC 2026
% Result : Unsatisfiable 235.08s 30.17s
% Output : CNFRefutation 235.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 15
% Syntax : Number of formulae : 137 ( 137 unt; 6 def)
% Number of atoms : 137 ( 136 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 178 ( 178 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : multiply(identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : multiply(X,identity) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : multiply(X,left_division(X,Y)) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : left_division(X,multiply(X,Y)) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : multiply(right_division(X,Y),Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : right_division(multiply(X,Y),Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] : multiply(left_inverse(X),X) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] : multiply(multiply(X,multiply(Y,Z)),X) = multiply(multiply(X,Y),multiply(Z,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
multiply(multiply(multiply(a,b),c),b) != multiply(a,multiply(b,multiply(c,b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f12,plain,
! [X0] : multiply(X0,identity) = X0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f13,plain,
! [X0,X1] : multiply(X0,left_division(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f14,plain,
! [X0,X1] : left_division(X0,multiply(X0,X1)) = X1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f15,plain,
! [X0,X1] : multiply(right_division(X0,X1),X1) = X0,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
! [X0,X1] : right_division(multiply(X0,X1),X1) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f18,plain,
! [X0] : multiply(left_inverse(X0),X0) = identity,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f19,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,X2)),X0) = multiply(multiply(X0,X1),multiply(X2,X0)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
multiply(multiply(multiply(a,b),c),b) != multiply(a,multiply(b,multiply(c,b))),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f21,definition,
sF2_fnc = multiply(a,b),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f22,definition,
sF1_fnc = multiply(sF2_fnc,c),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f23,definition,
sF0_fnc = multiply(sF1_fnc,b),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f24,definition,
sF5_fnc = multiply(c,b),
introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition]) ).
fof(f25,definition,
sF4_fnc = multiply(b,sF5_fnc),
introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition]) ).
fof(f26,definition,
sF3_fnc = multiply(a,sF4_fnc),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f27,plain,
sF0_fnc != sF3_fnc,
inference(definition_folding,[],[f20,f26,f25,f24,f23,f22,f21]) ).
fof(f31,plain,
right_division(sF4_fnc,sF5_fnc) = b,
inference(paramodulation,[status(thm)],[f25,f16]) ).
fof(f47,plain,
! [X0,X1] : multiply(multiply(X0,X1),X0) = multiply(multiply(X0,identity),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f11,f19]) ).
fof(f52,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,X2),X0)) = multiply(multiply(X0,X1),multiply(X2,X0)),
inference(backward_demodulation,[status(thm)],[f53,f19]) ).
fof(f53,plain,
! [X0,X1] : multiply(multiply(X0,X1),X0) = multiply(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f12,f47]) ).
fof(f78,plain,
right_division(sF3_fnc,sF4_fnc) = a,
inference(paramodulation,[status(thm)],[f26,f16]) ).
fof(f85,plain,
! [X0] : left_division(X0,X0) = identity,
inference(paramodulation,[status(thm)],[f12,f14]) ).
fof(f94,plain,
! [X0] : multiply(c,multiply(multiply(b,X0),c)) = multiply(sF5_fnc,multiply(X0,c)),
inference(paramodulation,[status(thm)],[f24,f52]) ).
fof(f106,plain,
! [X0] : multiply(b,multiply(multiply(X0,a),b)) = multiply(multiply(b,X0),sF2_fnc),
inference(paramodulation,[status(thm)],[f21,f52]) ).
fof(f151,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,right_division(X2,X0)),X0)) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f15,f52]) ).
fof(f152,plain,
! [X0,X1,X2] : multiply(right_division(X0,X1),multiply(multiply(X1,X2),right_division(X0,X1))) = multiply(X0,multiply(X2,right_division(X0,X1))),
inference(paramodulation,[status(thm)],[f15,f52]) ).
fof(f153,plain,
! [X0,X1] : left_division(right_division(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f166,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,multiply(left_division(X1,X0),X1)),
inference(paramodulation,[status(thm)],[f13,f53]) ).
fof(f170,plain,
! [X0,X1] : right_division(X0,left_division(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f13,f16]) ).
fof(f174,plain,
! [X0] : multiply(identity,left_inverse(X0)) = multiply(left_inverse(X0),multiply(X0,left_inverse(X0))),
inference(paramodulation,[status(thm)],[f18,f53]) ).
fof(f175,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X1,left_inverse(X0)),X0)) = multiply(multiply(X0,X1),identity),
inference(paramodulation,[status(thm)],[f18,f52]) ).
fof(f176,plain,
! [X0,X1] : multiply(left_inverse(X0),multiply(multiply(X0,X1),left_inverse(X0))) = multiply(identity,multiply(X1,left_inverse(X0))),
inference(paramodulation,[status(thm)],[f18,f52]) ).
fof(f177,plain,
! [X0] : left_division(left_inverse(X0),identity) = X0,
inference(paramodulation,[status(thm)],[f18,f14]) ).
fof(f179,plain,
! [X0,X1] : multiply(left_inverse(X0),multiply(multiply(X0,X1),left_inverse(X0))) = multiply(X1,left_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f11,f176]) ).
fof(f180,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X1,left_inverse(X0)),X0)) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f12,f175]) ).
fof(f181,plain,
! [X0] : left_inverse(X0) = multiply(left_inverse(X0),multiply(X0,left_inverse(X0))),
inference(forward_demodulation,[status(thm)],[f11,f174]) ).
fof(f189,plain,
! [X0] : left_division(left_inverse(X0),left_inverse(X0)) = multiply(X0,left_inverse(X0)),
inference(paramodulation,[status(thm)],[f181,f14]) ).
fof(f204,plain,
! [X0] : identity = multiply(X0,left_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f85,f189]) ).
fof(f213,plain,
! [X0] : right_division(multiply(sF5_fnc,multiply(X0,c)),multiply(multiply(b,X0),c)) = c,
inference(paramodulation,[status(thm)],[f94,f16]) ).
fof(f232,plain,
! [X0,X1] : multiply(X0,multiply(multiply(left_inverse(X0),X1),X0)) = multiply(identity,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f204,f52]) ).
fof(f233,plain,
! [X0] : left_division(X0,identity) = left_inverse(X0),
inference(paramodulation,[status(thm)],[f204,f14]) ).
fof(f235,plain,
! [X0,X1] : multiply(X0,multiply(multiply(left_inverse(X0),X1),X0)) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f11,f232]) ).
fof(f236,plain,
! [X0] : left_inverse(left_inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f233,f177]) ).
fof(f249,plain,
! [X0] : multiply(b,multiply(X0,b)) = multiply(multiply(b,right_division(X0,a)),sF2_fnc),
inference(paramodulation,[status(thm)],[f15,f106]) ).
fof(f509,plain,
! [X0,X1] : left_division(X0,multiply(X1,X0)) = multiply(left_division(X0,X1),X0),
inference(paramodulation,[status(thm)],[f166,f14]) ).
fof(f657,plain,
! [X0,X1] : left_division(X0,X1) = multiply(left_division(X0,right_division(X1,X0)),X0),
inference(paramodulation,[status(thm)],[f15,f509]) ).
fof(f674,plain,
! [X0] : left_division(left_inverse(X0),identity) = multiply(left_division(left_inverse(X0),X0),left_inverse(X0)),
inference(paramodulation,[status(thm)],[f204,f509]) ).
fof(f687,plain,
! [X0] : left_inverse(left_inverse(X0)) = multiply(left_division(left_inverse(X0),X0),left_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f233,f674]) ).
fof(f688,plain,
! [X0] : X0 = multiply(left_division(left_inverse(X0),X0),left_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f236,f687]) ).
fof(f748,plain,
! [X0] : right_division(X0,left_inverse(X0)) = left_division(left_inverse(X0),X0),
inference(paramodulation,[status(thm)],[f688,f16]) ).
fof(f775,plain,
! [X0] : right_division(left_inverse(X0),left_inverse(left_inverse(X0))) = left_division(X0,left_inverse(X0)),
inference(paramodulation,[status(thm)],[f236,f748]) ).
fof(f779,plain,
! [X0] : multiply(left_inverse(X0),right_division(X0,left_inverse(X0))) = X0,
inference(paramodulation,[status(thm)],[f748,f13]) ).
fof(f783,plain,
! [X0] : right_division(left_inverse(X0),X0) = left_division(X0,left_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f236,f775]) ).
fof(f812,plain,
! [X0] : multiply(X0,right_division(left_inverse(X0),X0)) = left_inverse(X0),
inference(paramodulation,[status(thm)],[f783,f13]) ).
fof(f897,plain,
! [X0,X1] : multiply(left_inverse(X0),multiply(multiply(right_division(X0,left_inverse(X0)),X1),left_inverse(X0))) = multiply(X0,multiply(X1,left_inverse(X0))),
inference(paramodulation,[status(thm)],[f779,f52]) ).
fof(f953,plain,
! [X0,X1] : multiply(right_division(left_inverse(X0),X0),multiply(multiply(X1,X0),right_division(left_inverse(X0),X0))) = multiply(multiply(right_division(left_inverse(X0),X0),X1),left_inverse(X0)),
inference(paramodulation,[status(thm)],[f812,f52]) ).
fof(f995,plain,
! [X0,X1] : right_division(left_division(X0,X1),X0) = left_division(X0,right_division(X1,X0)),
inference(paramodulation,[status(thm)],[f657,f16]) ).
fof(f1402,plain,
! [X0,X1] : multiply(X0,right_division(left_division(X0,X1),X0)) = right_division(X1,X0),
inference(paramodulation,[status(thm)],[f995,f13]) ).
fof(f1567,plain,
! [X0,X1] : multiply(X0,right_division(X1,X0)) = right_division(multiply(X0,X1),X0),
inference(paramodulation,[status(thm)],[f14,f1402]) ).
fof(f2596,plain,
! [X0,X1,X2] : multiply(right_division(X0,X1),multiply(multiply(X2,X1),right_division(X0,X1))) = multiply(X0,multiply(multiply(left_division(X1,X2),X1),right_division(X0,X1))),
inference(paramodulation,[status(thm)],[f166,f152]) ).
fof(f2598,plain,
! [X0,X1,X2] : multiply(right_division(X0,X1),multiply(X2,right_division(X0,X1))) = multiply(X0,multiply(left_division(X1,X2),right_division(X0,X1))),
inference(paramodulation,[status(thm)],[f13,f152]) ).
fof(f2658,plain,
! [X0,X1] : multiply(left_inverse(X0),multiply(multiply(left_division(X0,X1),X0),right_division(left_inverse(X0),X0))) = multiply(multiply(right_division(left_inverse(X0),X0),X1),left_inverse(X0)),
inference(backward_demodulation,[status(thm)],[f2596,f953]) ).
fof(f2797,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(right_division(X1,X0),X0))) = multiply(multiply(X0,X0),X1),
inference(paramodulation,[status(thm)],[f53,f151]) ).
fof(f2897,plain,
! [X0,X1] : multiply(X0,multiply(X0,X1)) = multiply(multiply(X0,X0),X1),
inference(forward_demodulation,[status(thm)],[f15,f2797]) ).
fof(f2952,plain,
! [X0] : multiply(X0,multiply(X0,left_inverse(multiply(X0,X0)))) = identity,
inference(paramodulation,[status(thm)],[f204,f2897]) ).
fof(f3080,plain,
! [X0] : left_division(X0,identity) = multiply(X0,left_inverse(multiply(X0,X0))),
inference(paramodulation,[status(thm)],[f2952,f14]) ).
fof(f3092,plain,
! [X0] : left_inverse(X0) = multiply(X0,left_inverse(multiply(X0,X0))),
inference(forward_demodulation,[status(thm)],[f233,f3080]) ).
fof(f3214,plain,
! [X0] : left_division(X0,left_inverse(X0)) = left_inverse(multiply(X0,X0)),
inference(paramodulation,[status(thm)],[f3092,f14]) ).
fof(f3221,plain,
! [X0] : right_division(left_inverse(X0),X0) = left_inverse(multiply(X0,X0)),
inference(forward_demodulation,[status(thm)],[f783,f3214]) ).
fof(f3318,plain,
! [X0] : multiply(right_division(left_inverse(X0),X0),multiply(X0,X0)) = identity,
inference(paramodulation,[status(thm)],[f3221,f18]) ).
fof(f3385,plain,
! [X0] : multiply(identity,right_division(left_inverse(X0),X0)) = multiply(right_division(left_inverse(X0),X0),multiply(multiply(X0,X0),right_division(left_inverse(X0),X0))),
inference(paramodulation,[status(thm)],[f3318,f53]) ).
fof(f3452,plain,
! [X0] : right_division(left_inverse(X0),X0) = multiply(right_division(left_inverse(X0),X0),multiply(multiply(X0,X0),right_division(left_inverse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f11,f3385]) ).
fof(f3453,plain,
! [X0] : right_division(left_inverse(X0),X0) = multiply(left_inverse(X0),multiply(left_division(X0,multiply(X0,X0)),right_division(left_inverse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f2598,f3452]) ).
fof(f3454,plain,
! [X0] : right_division(left_inverse(X0),X0) = multiply(left_inverse(X0),multiply(multiply(left_division(X0,X0),X0),right_division(left_inverse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f509,f3453]) ).
fof(f3455,plain,
! [X0] : right_division(left_inverse(X0),X0) = multiply(multiply(right_division(left_inverse(X0),X0),X0),left_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f2658,f3454]) ).
fof(f3458,plain,
! [X0] : right_division(left_inverse(X0),X0) = multiply(left_inverse(X0),left_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f15,f3455]) ).
fof(f3691,plain,
! [X0] : right_division(left_inverse(left_inverse(X0)),left_inverse(X0)) = multiply(X0,left_inverse(left_inverse(X0))),
inference(paramodulation,[status(thm)],[f236,f3458]) ).
fof(f3730,plain,
! [X0] : right_division(X0,left_inverse(X0)) = multiply(X0,left_inverse(left_inverse(X0))),
inference(forward_demodulation,[status(thm)],[f236,f3691]) ).
fof(f3744,plain,
! [X0,X1] : multiply(left_inverse(X0),multiply(multiply(multiply(X0,X0),X1),left_inverse(X0))) = multiply(X0,multiply(X1,left_inverse(X0))),
inference(backward_demodulation,[status(thm)],[f3746,f897]) ).
fof(f3746,plain,
! [X0] : right_division(X0,left_inverse(X0)) = multiply(X0,X0),
inference(forward_demodulation,[status(thm)],[f236,f3730]) ).
fof(f3776,plain,
! [X0,X1] : multiply(left_inverse(X0),multiply(multiply(X0,multiply(X0,X1)),left_inverse(X0))) = multiply(X0,multiply(X1,left_inverse(X0))),
inference(forward_demodulation,[status(thm)],[f2897,f3744]) ).
fof(f3777,plain,
! [X0,X1] : multiply(left_inverse(X0),multiply(X0,multiply(X1,left_inverse(X0)))) = multiply(X1,left_inverse(X0)),
inference(backward_demodulation,[status(thm)],[f3778,f179]) ).
fof(f3778,plain,
! [X0,X1] : multiply(multiply(X0,X1),left_inverse(X0)) = multiply(X0,multiply(X1,left_inverse(X0))),
inference(forward_demodulation,[status(thm)],[f179,f3776]) ).
fof(f4291,plain,
! [X0,X1] : multiply(X0,multiply(X1,X0)) = multiply(X0,right_division(X1,left_inverse(X0))),
inference(paramodulation,[status(thm)],[f15,f180]) ).
fof(f4293,plain,
! [X0,X1] : multiply(X0,multiply(multiply(left_inverse(X0),multiply(X1,left_inverse(X0))),X0)) = multiply(X0,multiply(left_inverse(X0),X1)),
inference(paramodulation,[status(thm)],[f53,f180]) ).
fof(f4326,plain,
! [X0,X1] : multiply(X0,right_division(multiply(multiply(X1,left_inverse(X0)),X0),X0)) = right_division(multiply(X0,X1),X0),
inference(paramodulation,[status(thm)],[f180,f1567]) ).
fof(f4335,plain,
! [X0,X1] : left_division(X0,multiply(X0,X1)) = multiply(multiply(X1,left_inverse(X0)),X0),
inference(paramodulation,[status(thm)],[f180,f14]) ).
fof(f4345,plain,
! [X0,X1] : multiply(X0,multiply(X1,left_inverse(X0))) = right_division(multiply(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f16,f4326]) ).
fof(f4346,plain,
! [X0,X1] : multiply(left_inverse(X0),multiply(X0,right_division(X1,X0))) = multiply(X1,left_inverse(X0)),
inference(backward_demodulation,[status(thm)],[f4348,f3777]) ).
fof(f4348,plain,
! [X0,X1] : multiply(X0,multiply(X1,left_inverse(X0))) = multiply(X0,right_division(X1,X0)),
inference(forward_demodulation,[status(thm)],[f1567,f4345]) ).
fof(f4401,plain,
! [X0,X1] : X0 = multiply(multiply(X0,left_inverse(X1)),X1),
inference(forward_demodulation,[status(thm)],[f14,f4335]) ).
fof(f4433,plain,
! [X0,X1] : multiply(multiply(X0,left_inverse(X1)),X1) = multiply(X1,multiply(left_inverse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f235,f4293]) ).
fof(f4434,plain,
! [X0,X1] : X0 = multiply(X1,multiply(left_inverse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f4401,f4433]) ).
fof(f4469,plain,
! [X0,X1] : right_division(left_division(left_inverse(X0),X1),left_inverse(X0)) = multiply(X0,right_division(X1,left_inverse(X0))),
inference(paramodulation,[status(thm)],[f1402,f4434]) ).
fof(f4476,plain,
! [X0,X1] : left_division(left_inverse(X0),X1) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f13,f4434]) ).
fof(f4480,plain,
! [X0,X1] : X0 = multiply(left_inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f236,f4434]) ).
fof(f4482,plain,
right_division(c,multiply(multiply(b,left_inverse(sF5_fnc)),c)) = c,
inference(paramodulation,[status(thm)],[f4434,f213]) ).
fof(f4511,plain,
! [X0,X1] : left_division(X0,X1) = multiply(left_inverse(X0),X1),
inference(paramodulation,[status(thm)],[f4434,f14]) ).
fof(f4515,plain,
! [X0,X1] : right_division(X0,X1) = multiply(X0,left_inverse(X1)),
inference(backward_demodulation,[status(thm)],[f4480,f4346]) ).
fof(f4561,plain,
right_division(c,multiply(right_division(b,sF5_fnc),c)) = c,
inference(forward_demodulation,[status(thm)],[f4515,f4482]) ).
fof(f4570,plain,
! [X0,X1] : right_division(left_division(left_inverse(X0),X1),left_inverse(X0)) = multiply(X0,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f4291,f4469]) ).
fof(f4691,plain,
! [X0,X1] : right_division(multiply(X0,X1),left_inverse(X0)) = multiply(X0,multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f4476,f4570]) ).
fof(f4760,plain,
! [X0,X1] : multiply(left_inverse(X0),right_division(multiply(X0,X1),left_inverse(X0))) = right_division(X1,left_inverse(X0)),
inference(paramodulation,[status(thm)],[f4476,f1402]) ).
fof(f4762,plain,
! [X0,X1] : right_division(X0,multiply(X1,X0)) = left_inverse(X1),
inference(paramodulation,[status(thm)],[f4476,f170]) ).
fof(f4766,plain,
! [X0,X1] : left_division(X0,right_division(multiply(X0,X1),left_inverse(X0))) = right_division(X1,left_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f4511,f4760]) ).
fof(f4767,plain,
! [X0,X1] : left_division(X0,multiply(X0,multiply(X1,X0))) = right_division(X1,left_inverse(X0)),
inference(forward_demodulation,[status(thm)],[f4691,f4766]) ).
fof(f4772,plain,
! [X0,X1] : multiply(X0,X1) = right_division(X0,left_inverse(X1)),
inference(forward_demodulation,[status(thm)],[f14,f4767]) ).
fof(f4786,plain,
left_inverse(right_division(b,sF5_fnc)) = c,
inference(backward_demodulation,[status(thm)],[f4762,f4561]) ).
fof(f4873,plain,
left_inverse(c) = right_division(b,sF5_fnc),
inference(paramodulation,[status(thm)],[f4786,f236]) ).
fof(f4934,plain,
! [X0,X1] : left_division(X0,right_division(X0,X1)) = left_inverse(X1),
inference(paramodulation,[status(thm)],[f4515,f14]) ).
fof(f5144,plain,
left_division(sF3_fnc,a) = left_inverse(sF4_fnc),
inference(paramodulation,[status(thm)],[f78,f4934]) ).
fof(f5149,plain,
left_division(sF4_fnc,b) = left_inverse(sF5_fnc),
inference(paramodulation,[status(thm)],[f31,f4934]) ).
fof(f7151,plain,
! [X0,X1] : right_division(left_division(X0,X1),X1) = left_inverse(X0),
inference(paramodulation,[status(thm)],[f4511,f16]) ).
fof(f8196,plain,
right_division(left_inverse(sF4_fnc),a) = left_inverse(sF3_fnc),
inference(paramodulation,[status(thm)],[f5144,f7151]) ).
fof(f8201,plain,
! [X0,X1] : right_division(X0,X1) = left_inverse(right_division(X1,X0)),
inference(paramodulation,[status(thm)],[f153,f7151]) ).
fof(f15959,plain,
multiply(b,multiply(left_inverse(sF4_fnc),b)) = multiply(multiply(b,left_inverse(sF3_fnc)),sF2_fnc),
inference(paramodulation,[status(thm)],[f8196,f249]) ).
fof(f16031,plain,
multiply(b,left_division(sF4_fnc,b)) = multiply(multiply(b,left_inverse(sF3_fnc)),sF2_fnc),
inference(forward_demodulation,[status(thm)],[f4511,f15959]) ).
fof(f16032,plain,
multiply(b,left_inverse(sF5_fnc)) = multiply(multiply(b,left_inverse(sF3_fnc)),sF2_fnc),
inference(forward_demodulation,[status(thm)],[f5149,f16031]) ).
fof(f16033,plain,
right_division(b,sF5_fnc) = multiply(multiply(b,left_inverse(sF3_fnc)),sF2_fnc),
inference(forward_demodulation,[status(thm)],[f4515,f16032]) ).
fof(f16034,plain,
left_inverse(c) = multiply(multiply(b,left_inverse(sF3_fnc)),sF2_fnc),
inference(forward_demodulation,[status(thm)],[f4873,f16033]) ).
fof(f16035,plain,
left_inverse(c) = multiply(right_division(b,sF3_fnc),sF2_fnc),
inference(forward_demodulation,[status(thm)],[f4515,f16034]) ).
fof(f16062,plain,
right_division(sF2_fnc,left_inverse(c)) = left_inverse(right_division(b,sF3_fnc)),
inference(paramodulation,[status(thm)],[f16035,f4762]) ).
fof(f16142,plain,
multiply(sF2_fnc,c) = left_inverse(right_division(b,sF3_fnc)),
inference(forward_demodulation,[status(thm)],[f4772,f16062]) ).
fof(f16143,plain,
sF1_fnc = left_inverse(right_division(b,sF3_fnc)),
inference(forward_demodulation,[status(thm)],[f22,f16142]) ).
fof(f16146,plain,
sF1_fnc = right_division(sF3_fnc,b),
inference(forward_demodulation,[status(thm)],[f8201,f16143]) ).
fof(f16256,plain,
multiply(sF1_fnc,b) = sF3_fnc,
inference(paramodulation,[status(thm)],[f16146,f15]) ).
fof(f16261,plain,
sF0_fnc = sF3_fnc,
inference(forward_demodulation,[status(thm)],[f23,f16256]) ).
fof(f16262,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f16261,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP200-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n017.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 20 20:01:11 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 235.08/30.17 % Refutation found
% 235.08/30.17 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 235.08/30.17 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 13.43/30.66 % Elapsed time: 30.193681 seconds
% 13.43/30.66 % CPU time: 237.712771 seconds
% 13.43/30.66 % Total memory used: 2.365 GB
% 13.43/30.66 % Net memory used: 2.321 GB
%------------------------------------------------------------------------------