TSTP Solution File: GRP477-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP477-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:20:44 EDT 2024
% Result : Unsatisfiable 42.30s 5.71s
% Output : CNFRefutation 43.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 3
% Syntax : Number of formulae : 118 ( 118 unt; 0 def)
% Number of atoms : 118 ( 117 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 15 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 525 ( 525 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : divide(inverse(divide(divide(divide(A,B),C),divide(D,C))),divide(B,A)) = D,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,inverse(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))),divide(X1,X0)) = X3,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(divide(X0,X1),X2),divide(X3,inverse(X2)))),divide(X1,X0)) = X3,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(divide(X0,X1),X2),multiply(X3,X2))),divide(X1,X0)) = X3,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(X0,X1),divide(X2,X1))),divide(divide(X3,X4),inverse(divide(divide(divide(X4,X3),X5),divide(X0,X5))))) = X2,
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(X0,X1),divide(X2,X1))),multiply(divide(X3,X4),divide(divide(divide(X4,X3),X5),divide(X0,X5)))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f9]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)),divide(X1,X0)) = inverse(divide(divide(divide(X3,X2),X5),divide(X4,X5))),
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(divide(divide(X0,X1),inverse(divide(divide(divide(X1,X0),X2),divide(X3,X2)))),X4),divide(X5,X4))),X3) = X5,
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(multiply(divide(X0,X1),divide(divide(divide(X1,X0),X2),divide(X3,X2))),X4),divide(X5,X4))),X3) = X5,
inference(forward_demodulation,[status(thm)],[f5,f15]) ).
fof(f18,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(multiply(X0,X1),multiply(X2,X1))),divide(divide(X3,X4),inverse(divide(multiply(divide(X4,X3),X5),multiply(X0,X5))))) = X2,
inference(paramodulation,[status(thm)],[f8,f8]) ).
fof(f19,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(multiply(X0,X1),multiply(X2,X1))),multiply(divide(X3,X4),divide(multiply(divide(X4,X3),X5),multiply(X0,X5)))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f18]) ).
fof(f33,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(inverse(divide(X0,divide(X1,divide(X2,X3)))),multiply(divide(X4,X5),divide(divide(divide(X5,X4),X6),divide(inverse(divide(multiply(divide(X3,X2),X7),multiply(X0,X7))),X6)))) = X1,
inference(paramodulation,[status(thm)],[f8,f10]) ).
fof(f49,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(X0,X1),divide(X2,X1))),multiply(multiply(X3,X4),divide(divide(divide(inverse(X4),X3),X5),divide(X0,X5)))) = X2,
inference(paramodulation,[status(thm)],[f5,f10]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)),divide(X1,X0)) = inverse(divide(divide(divide(X3,X2),a3),divide(X4,a3))),
inference(equality_split,[status(esa)],[f12]) ).
fof(f227,plain,
! [X0,X1,X2] : X0 = inverse(divide(divide(divide(X1,X2),a3),divide(divide(X0,divide(X2,X1)),a3))),
inference(paramodulation,[status(thm)],[f4,f225]) ).
fof(f459,plain,
! [X0,X1,X2] : X0 = inverse(divide(divide(multiply(X1,X2),a3),divide(divide(X0,divide(inverse(X2),X1)),a3))),
inference(paramodulation,[status(thm)],[f5,f227]) ).
fof(f489,plain,
! [X0,X1,X2] : X0 = inverse(divide(divide(divide(inverse(X1),X2),a3),divide(divide(X0,multiply(X2,X1)),a3))),
inference(paramodulation,[status(thm)],[f5,f227]) ).
fof(f491,plain,
! [X0,X1,X2,X3,X4,X5] : divide(X0,multiply(divide(X1,X2),divide(divide(divide(X2,X1),X3),divide(divide(X4,X5),X3)))) = divide(X0,divide(X5,X4)),
inference(paramodulation,[status(thm)],[f227,f10]) ).
fof(f602,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(divide(divide(inverse(divide(divide(divide(X3,X4),X5),divide(X0,X5))),divide(X4,X3)),a3),divide(X2,a3))),
inference(paramodulation,[status(thm)],[f10,f489]) ).
fof(f603,plain,
! [X0,X1,X2] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(divide(X0,a3),divide(X2,a3))),
inference(forward_demodulation,[status(thm)],[f4,f602]) ).
fof(f644,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(multiply(X0,X1),X2),divide(divide(X3,divide(inverse(X1),X0)),X2))) = X3,
inference(paramodulation,[status(thm)],[f459,f603]) ).
fof(f645,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(divide(inverse(X0),X1),X2),divide(divide(X3,multiply(X1,X0)),X2))) = X3,
inference(paramodulation,[status(thm)],[f489,f603]) ).
fof(f646,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(divide(X0,X1),X2),divide(divide(X3,divide(X1,X0)),X2))) = X3,
inference(paramodulation,[status(thm)],[f227,f603]) ).
fof(f647,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(divide(X0,X3),divide(X2,X3))),
inference(paramodulation,[status(thm)],[f603,f603]) ).
fof(f668,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(divide(X1,X2),divide(X3,X2))) = divide(X0,inverse(divide(divide(X1,a3),divide(X3,a3)))),
inference(paramodulation,[status(thm)],[f603,f5]) ).
fof(f669,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(divide(X1,X2),divide(X3,X2))) = multiply(X0,divide(divide(X1,a3),divide(X3,a3))),
inference(forward_demodulation,[status(thm)],[f5,f668]) ).
fof(f693,plain,
! [X0,X1,X2,X3] : inverse(divide(multiply(divide(X0,X1),X2),divide(divide(X3,divide(X1,X0)),inverse(X2)))) = X3,
inference(paramodulation,[status(thm)],[f5,f646]) ).
fof(f694,plain,
! [X0,X1,X2,X3] : inverse(divide(multiply(divide(X0,X1),X2),multiply(divide(X3,divide(X1,X0)),X2))) = X3,
inference(forward_demodulation,[status(thm)],[f5,f693]) ).
fof(f701,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(divide(divide(X0,X1),divide(divide(X2,divide(divide(X3,X4),inverse(divide(multiply(divide(X4,X3),X5),multiply(X0,X5))))),X1))) = X2,
inference(paramodulation,[status(thm)],[f8,f646]) ).
fof(f702,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(divide(divide(X0,X1),divide(divide(X2,multiply(divide(X3,X4),divide(multiply(divide(X4,X3),X5),multiply(X0,X5)))),X1))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f701]) ).
fof(f790,plain,
! [X0,X1,X2,X3] : inverse(divide(multiply(multiply(X0,X1),X2),multiply(divide(X3,divide(inverse(X1),X0)),X2))) = X3,
inference(paramodulation,[status(thm)],[f5,f694]) ).
fof(f862,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(multiply(inverse(X0),X1),X2),divide(divide(X3,multiply(inverse(X1),X0)),X2))) = X3,
inference(paramodulation,[status(thm)],[f5,f644]) ).
fof(f990,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(divide(divide(divide(inverse(divide(multiply(divide(X0,X1),X2),multiply(X3,X2))),divide(X1,X0)),X4),divide(X5,X4))) = inverse(divide(multiply(X3,X6),multiply(X5,X6))),
inference(paramodulation,[status(thm)],[f19,f645]) ).
fof(f991,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(multiply(X0,X3),multiply(X2,X3))),
inference(forward_demodulation,[status(thm)],[f8,f990]) ).
fof(f1285,plain,
! [X0,X1,X2] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(divide(X0,a3),divide(X2,a3))),
inference(equality_split,[status(esa)],[f647]) ).
fof(f1523,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,divide(multiply(multiply(X1,X2),X3),multiply(divide(X4,divide(inverse(X2),X1)),X3))) = divide(X0,X4),
inference(paramodulation,[status(thm)],[f790,f5]) ).
fof(f1587,plain,
! [X0,X1,X2] : inverse(divide(divide(X0,a3),divide(X1,a3))) = inverse(divide(multiply(X0,X2),multiply(X1,X2))),
inference(forward_demodulation,[status(thm)],[f1285,f991]) ).
fof(f1611,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(multiply(X1,X2),multiply(X3,X2))) = divide(X0,inverse(divide(divide(X1,a3),divide(X3,a3)))),
inference(paramodulation,[status(thm)],[f1587,f5]) ).
fof(f1612,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(multiply(X1,X2),multiply(X3,X2))) = multiply(X0,divide(divide(X1,a3),divide(X3,a3))),
inference(forward_demodulation,[status(thm)],[f5,f1611]) ).
fof(f1880,plain,
! [X0,X1,X2] : inverse(divide(divide(multiply(inverse(X0),X1),a3),divide(divide(X2,multiply(inverse(X1),X0)),a3))) = X2,
inference(forward_demodulation,[status(thm)],[f1285,f862]) ).
fof(f2050,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(inverse(divide(X0,divide(X1,divide(X2,X3)))),multiply(divide(X4,X5),divide(divide(divide(X5,X4),X6),divide(inverse(divide(divide(divide(X3,X2),a3),divide(X0,a3))),X6)))) = X1,
inference(forward_demodulation,[status(thm)],[f1587,f33]) ).
fof(f2143,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(X0,divide(X1,divide(X2,X3)))),multiply(divide(X4,X5),divide(divide(divide(X5,X4),divide(X2,X3)),X0))) = X1,
inference(paramodulation,[status(thm)],[f4,f2050]) ).
fof(f2284,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,divide(divide(X1,X2),divide(X3,X2))) = multiply(X0,divide(divide(X1,X4),divide(X3,X4))),
inference(paramodulation,[status(thm)],[f669,f669]) ).
fof(f2352,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(divide(X1,X2),divide(X3,X2))) = multiply(X0,divide(divide(X1,a3),divide(X3,a3))),
inference(equality_split,[status(esa)],[f2284]) ).
fof(f2900,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,divide(multiply(multiply(inverse(X1),X2),X3),multiply(divide(X4,multiply(inverse(X2),X1)),X3))) = divide(X0,X4),
inference(paramodulation,[status(thm)],[f5,f1523]) ).
fof(f3715,plain,
! [X0,X1,X2,X3] : multiply(X0,divide(divide(multiply(inverse(X1),X2),a3),divide(divide(X3,multiply(inverse(X2),X1)),a3))) = divide(X0,X3),
inference(forward_demodulation,[status(thm)],[f1612,f2900]) ).
fof(f4001,plain,
! [X0,X1,X2,X3,X4] : divide(X0,multiply(divide(X1,X2),divide(divide(divide(X2,X1),a3),divide(divide(X3,X4),a3)))) = divide(X0,divide(X4,X3)),
inference(forward_demodulation,[status(thm)],[f2352,f491]) ).
fof(f4503,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(divide(X0,a3),divide(X1,a3))),multiply(multiply(X2,X3),divide(divide(divide(inverse(X3),X2),X4),divide(X0,X4)))) = X1,
inference(forward_demodulation,[status(thm)],[f1285,f49]) ).
fof(f4504,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(divide(X0,a3),divide(X1,a3))),multiply(multiply(X2,X3),divide(divide(divide(inverse(X3),X2),a3),divide(X0,a3)))) = X1,
inference(forward_demodulation,[status(thm)],[f2352,f4503]) ).
fof(f4509,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(inverse(divide(X0,divide(X1,a3))),multiply(multiply(X2,X3),divide(divide(divide(inverse(X3),X2),a3),divide(inverse(divide(divide(multiply(divide(X4,X5),divide(divide(divide(X5,X4),X6),divide(a3,X6))),X7),divide(X0,X7))),a3)))) = X1,
inference(paramodulation,[status(thm)],[f16,f4504]) ).
fof(f4510,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(X0,divide(X1,a3))),multiply(multiply(X2,X3),divide(divide(divide(inverse(X3),X2),a3),X0))) = X1,
inference(forward_demodulation,[status(thm)],[f16,f4509]) ).
fof(f4937,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(X0,divide(X1,a3))),multiply(divide(X2,X3),divide(divide(divide(inverse(divide(divide(multiply(inverse(X4),X5),a3),divide(divide(X3,multiply(inverse(X5),X4)),a3))),X2),a3),X0))) = X1,
inference(paramodulation,[status(thm)],[f3715,f4510]) ).
fof(f4938,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(X0,divide(X1,a3))),multiply(divide(X2,X3),divide(divide(divide(X3,X2),a3),X0))) = X1,
inference(forward_demodulation,[status(thm)],[f1880,f4937]) ).
fof(f5175,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(inverse(X0),divide(X1,a3))),multiply(divide(X2,X3),multiply(divide(divide(X3,X2),a3),X0))) = X1,
inference(paramodulation,[status(thm)],[f5,f4938]) ).
fof(f6734,plain,
! [X0,X1,X2,X3,X4] : inverse(divide(divide(X0,a3),divide(divide(X1,multiply(divide(X2,X3),divide(multiply(divide(X3,X2),X4),multiply(X0,X4)))),a3))) = X1,
inference(forward_demodulation,[status(thm)],[f1285,f702]) ).
fof(f6735,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(X0,a3),divide(divide(X1,multiply(divide(X2,X3),divide(divide(divide(X3,X2),a3),divide(X0,a3)))),a3))) = X1,
inference(forward_demodulation,[status(thm)],[f1612,f6734]) ).
fof(f6736,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : inverse(divide(X0,divide(divide(X1,multiply(divide(X2,X3),divide(divide(divide(X3,X2),a3),divide(inverse(divide(divide(multiply(divide(X4,X5),divide(divide(divide(X5,X4),X6),divide(a3,X6))),X7),divide(X0,X7))),a3)))),a3))) = X1,
inference(paramodulation,[status(thm)],[f16,f6735]) ).
fof(f6737,plain,
! [X0,X1,X2,X3] : inverse(divide(X0,divide(divide(X1,multiply(divide(X2,X3),divide(divide(divide(X3,X2),a3),X0))),a3))) = X1,
inference(forward_demodulation,[status(thm)],[f16,f6736]) ).
fof(f6974,plain,
! [X0,X1,X2,X3] : inverse(divide(inverse(X0),divide(divide(X1,multiply(divide(X2,X3),multiply(divide(divide(X3,X2),a3),X0))),a3))) = X1,
inference(paramodulation,[status(thm)],[f5,f6737]) ).
fof(f7355,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,divide(inverse(X1),divide(divide(X2,multiply(divide(X3,X4),multiply(divide(divide(X4,X3),a3),X1))),a3))) = divide(X0,X2),
inference(paramodulation,[status(thm)],[f6974,f5]) ).
fof(f9851,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(inverse(divide(X0,divide(X1,X2))),multiply(divide(X3,X4),divide(divide(divide(X4,X3),divide(inverse(divide(inverse(X5),divide(X2,a3))),multiply(divide(X6,X7),multiply(divide(divide(X7,X6),a3),X5)))),X0))) = X1,
inference(paramodulation,[status(thm)],[f5175,f2143]) ).
fof(f9852,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(X0,divide(X1,X2))),multiply(divide(X3,X4),divide(divide(divide(X4,X3),X2),X0))) = X1,
inference(forward_demodulation,[status(thm)],[f5175,f9851]) ).
fof(f10345,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(X0),multiply(divide(X1,X2),divide(divide(divide(X2,X1),X3),inverse(divide(divide(divide(X3,X4),X5),divide(X0,X5)))))) = X4,
inference(paramodulation,[status(thm)],[f4,f9852]) ).
fof(f10346,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(X0),multiply(divide(X1,X2),multiply(divide(divide(X2,X1),X3),divide(divide(divide(X3,X4),X5),divide(X0,X5))))) = X4,
inference(forward_demodulation,[status(thm)],[f5,f10345]) ).
fof(f10347,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(X0),multiply(divide(X1,X2),multiply(divide(divide(X2,X1),X3),divide(divide(divide(X3,X4),a3),divide(X0,a3))))) = X4,
inference(forward_demodulation,[status(thm)],[f2352,f10346]) ).
fof(f10390,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(X0,multiply(X1,X2))),multiply(divide(X3,X4),divide(divide(divide(X4,X3),inverse(X2)),X0))) = X1,
inference(paramodulation,[status(thm)],[f5,f9852]) ).
fof(f10391,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(X0,multiply(X1,X2))),multiply(divide(X3,X4),divide(multiply(divide(X4,X3),X2),X0))) = X1,
inference(forward_demodulation,[status(thm)],[f5,f10390]) ).
fof(f12761,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(X0,multiply(X1,X2))),multiply(multiply(X3,X4),divide(multiply(divide(inverse(X4),X3),X2),X0))) = X1,
inference(paramodulation,[status(thm)],[f5,f10391]) ).
fof(f12764,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(inverse(X0),multiply(X1,X2))),multiply(divide(X3,X4),multiply(multiply(divide(X4,X3),X2),X0))) = X1,
inference(paramodulation,[status(thm)],[f5,f10391]) ).
fof(f12846,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(X0,multiply(X1,X2))),multiply(divide(inverse(X3),X4),divide(multiply(multiply(X4,X3),X2),X0))) = X1,
inference(paramodulation,[status(thm)],[f5,f10391]) ).
fof(f14857,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(inverse(X0),multiply(X1,X2))),multiply(multiply(X3,X4),multiply(multiply(divide(inverse(X4),X3),X2),X0))) = X1,
inference(paramodulation,[status(thm)],[f5,f12761]) ).
fof(f15380,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(inverse(X0),multiply(X1,X2))),multiply(divide(inverse(X3),X4),multiply(multiply(multiply(X4,X3),X2),X0))) = X1,
inference(paramodulation,[status(thm)],[f5,f12764]) ).
fof(f17342,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(inverse(X0),multiply(X1,X2))),multiply(multiply(inverse(X3),X4),multiply(multiply(multiply(inverse(X4),X3),X2),X0))) = X1,
inference(paramodulation,[status(thm)],[f5,f14857]) ).
fof(f37665,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(inverse(X0),multiply(divide(X1,X2),multiply(divide(divide(X2,X1),X3),divide(divide(divide(X3,divide(X4,X5)),a3),divide(X0,a3))))) = multiply(divide(X6,X7),divide(divide(divide(X7,X6),a3),divide(divide(X5,X4),a3))),
inference(paramodulation,[status(thm)],[f4001,f10347]) ).
fof(f37666,plain,
! [X0,X1,X2,X3] : divide(X0,X1) = multiply(divide(X2,X3),divide(divide(divide(X3,X2),a3),divide(divide(X1,X0),a3))),
inference(forward_demodulation,[status(thm)],[f10347,f37665]) ).
fof(f38412,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(X0,X1)),multiply(divide(X2,X3),divide(X1,X0))) = divide(X3,X2),
inference(paramodulation,[status(thm)],[f37666,f10347]) ).
fof(f38715,plain,
! [X0,X1,X2,X3] : divide(inverse(multiply(X0,X1)),multiply(divide(X2,X3),divide(inverse(X1),X0))) = divide(X3,X2),
inference(paramodulation,[status(thm)],[f5,f38412]) ).
fof(f38854,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(X0,X1)),multiply(divide(X2,X3),divide(X1,X0))) = divide(multiply(divide(X3,X2),divide(X4,X5)),inverse(divide(X5,X4))),
inference(paramodulation,[status(thm)],[f38412,f38412]) ).
fof(f38855,plain,
! [X0,X1,X2,X3] : divide(X0,X1) = divide(multiply(divide(X0,X1),divide(X2,X3)),inverse(divide(X3,X2))),
inference(forward_demodulation,[status(thm)],[f38412,f38854]) ).
fof(f38856,plain,
! [X0,X1,X2,X3] : divide(X0,X1) = multiply(multiply(divide(X0,X1),divide(X2,X3)),divide(X3,X2)),
inference(forward_demodulation,[status(thm)],[f5,f38855]) ).
fof(f39366,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(inverse(divide(inverse(X0),multiply(X1,X2))),multiply(multiply(inverse(X3),X4),multiply(multiply(multiply(inverse(X4),X3),X2),X0))) = multiply(multiply(X1,divide(X5,X6)),divide(X6,X5)),
inference(paramodulation,[status(thm)],[f17342,f38856]) ).
fof(f39367,plain,
! [X0,X1,X2] : X0 = multiply(multiply(X0,divide(X1,X2)),divide(X2,X1)),
inference(forward_demodulation,[status(thm)],[f17342,f39366]) ).
fof(f40192,plain,
! [X0,X1,X2] : X0 = multiply(multiply(X0,divide(inverse(X1),X2)),multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f5,f39367]) ).
fof(f48594,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(X0,X1)),multiply(divide(X2,X3),multiply(multiply(divide(X3,X2),divide(inverse(X4),X5)),multiply(X5,X4)))) = divide(X1,X0),
inference(paramodulation,[status(thm)],[f38715,f12764]) ).
fof(f48595,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(X0,X1)),multiply(divide(X2,X3),divide(X3,X2))) = divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f40192,f48594]) ).
fof(f49325,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(X0,X1)),multiply(divide(X2,X3),divide(X3,X2))) = divide(multiply(divide(X4,X5),divide(X5,X4)),inverse(divide(X1,X0))),
inference(paramodulation,[status(thm)],[f48595,f48595]) ).
fof(f49326,plain,
! [X0,X1,X2,X3] : divide(X0,X1) = divide(multiply(divide(X2,X3),divide(X3,X2)),inverse(divide(X0,X1))),
inference(forward_demodulation,[status(thm)],[f48595,f49325]) ).
fof(f49327,plain,
! [X0,X1,X2,X3] : divide(X0,X1) = multiply(multiply(divide(X2,X3),divide(X3,X2)),divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f5,f49326]) ).
fof(f50376,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(inverse(divide(inverse(X0),multiply(X1,X2))),multiply(multiply(inverse(X3),X4),multiply(multiply(multiply(inverse(X4),X3),X2),X0))) = multiply(multiply(divide(X5,X6),divide(X6,X5)),X1),
inference(paramodulation,[status(thm)],[f17342,f49327]) ).
fof(f50377,plain,
! [X0,X1,X2] : X0 = multiply(multiply(divide(X1,X2),divide(X2,X1)),X0),
inference(forward_demodulation,[status(thm)],[f17342,f50376]) ).
fof(f50858,plain,
! [X0,X1,X2] : X0 = multiply(multiply(multiply(X1,X2),divide(inverse(X2),X1)),X0),
inference(paramodulation,[status(thm)],[f5,f50377]) ).
fof(f56942,plain,
! [X0,X1,X2] : X0 = multiply(divide(inverse(divide(X1,X2)),divide(X2,X1)),X0),
inference(paramodulation,[status(thm)],[f50377,f50858]) ).
fof(f57886,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(inverse(X0),multiply(X1,X2))),multiply(multiply(multiply(divide(X3,X4),divide(X4,X3)),X2),X0)) = X1,
inference(paramodulation,[status(thm)],[f56942,f15380]) ).
fof(f57887,plain,
! [X0,X1,X2] : divide(inverse(divide(inverse(X0),multiply(X1,X2))),multiply(X2,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f50377,f57886]) ).
fof(f57891,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(X0,multiply(X1,X2))),divide(multiply(multiply(divide(X3,X4),divide(X4,X3)),X2),X0)) = X1,
inference(paramodulation,[status(thm)],[f56942,f12846]) ).
fof(f57892,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,multiply(X1,X2))),divide(X2,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f50377,f57891]) ).
fof(f58401,plain,
! [X0,X1,X2,X3] : X0 = multiply(multiply(multiply(divide(X1,X2),divide(X2,multiply(X3,X1))),X3),X0),
inference(paramodulation,[status(thm)],[f57892,f50858]) ).
fof(f59973,plain,
! [X0,X1,X2] : divide(inverse(X0),multiply(X1,divide(inverse(X1),multiply(X0,X2)))) = X2,
inference(paramodulation,[status(thm)],[f57887,f57887]) ).
fof(f60621,plain,
! [X0,X1,X2] : divide(inverse(X0),multiply(divide(inverse(X1),multiply(X2,X0)),X2)) = X1,
inference(paramodulation,[status(thm)],[f57887,f59973]) ).
fof(f61161,plain,
! [X0,X1,X2,X3,X4,X5] : divide(X0,multiply(divide(inverse(X1),multiply(X2,divide(inverse(X3),divide(divide(X0,multiply(divide(X4,X5),multiply(divide(divide(X5,X4),a3),X3))),a3)))),X2)) = X1,
inference(paramodulation,[status(thm)],[f6974,f60621]) ).
fof(f61162,plain,
! [X0,X1,X2] : divide(X0,multiply(divide(inverse(X1),divide(X2,X0)),X2)) = X1,
inference(forward_demodulation,[status(thm)],[f7355,f61161]) ).
fof(f61782,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(X0,multiply(X1,X2)) = divide(divide(multiply(divide(X3,X4),divide(divide(divide(X4,X3),X5),divide(divide(X2,X0),X5))),X6),divide(X1,X6)),
inference(paramodulation,[status(thm)],[f16,f61162]) ).
fof(f61783,plain,
! [X0,X1,X2,X3,X4,X5] : divide(X0,multiply(X1,X2)) = divide(divide(multiply(divide(X3,X4),divide(divide(divide(X4,X3),a3),divide(divide(X2,X0),a3))),X5),divide(X1,X5)),
inference(forward_demodulation,[status(thm)],[f2352,f61782]) ).
fof(f61784,plain,
! [X0,X1,X2,X3] : divide(X0,multiply(X1,X2)) = divide(divide(divide(X0,X2),X3),divide(X1,X3)),
inference(forward_demodulation,[status(thm)],[f37666,f61783]) ).
fof(f64567,plain,
! [X0,X1,X2] : inverse(divide(X0,multiply(divide(X1,divide(X2,X0)),X2))) = X1,
inference(backward_demodulation,[status(thm)],[f61784,f646]) ).
fof(f64781,plain,
! [X0,X1,X2] : inverse(divide(divide(divide(inverse(X0),X1),inverse(multiply(X1,X0))),X2)) = X2,
inference(paramodulation,[status(thm)],[f38715,f64567]) ).
fof(f64782,plain,
! [X0,X1,X2] : inverse(divide(multiply(divide(inverse(X0),X1),multiply(X1,X0)),X2)) = X2,
inference(forward_demodulation,[status(thm)],[f5,f64781]) ).
fof(f65139,plain,
! [X0,X1,X2] : inverse(divide(divide(divide(inverse(X0),X1),a3),divide(X2,a3))) = multiply(X2,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f1587,f64782]) ).
fof(f65140,plain,
! [X0,X1,X2] : inverse(divide(inverse(X0),multiply(X1,X2))) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[status(thm)],[f61784,f65139]) ).
fof(f65427,plain,
! [X0,X1,X2,X3,X4] : inverse(divide(inverse(X0),X1)) = multiply(multiply(multiply(divide(X2,X3),divide(X3,multiply(X4,X2))),X4),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f58401,f65140]) ).
fof(f65428,plain,
! [X0,X1] : inverse(divide(inverse(X0),X1)) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f58401,f65427]) ).
fof(f65558,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(backward_demodulation,[status(thm)],[f65428,f65140]) ).
fof(f71385,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f65558,f6]) ).
fof(f71386,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f71385]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP477-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 00:21:49 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 42.30/5.71 % Refutation found
% 42.30/5.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 42.30/5.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 43.18/5.83 % Elapsed time: 5.460486 seconds
% 43.18/5.83 % CPU time: 42.916883 seconds
% 43.18/5.83 % Total memory used: 835.288 MB
% 43.18/5.83 % Net memory used: 818.395 MB
%------------------------------------------------------------------------------