%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP501-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 12:34:32 PM UTC 2026
% Result : Unsatisfiable 91.31s 11.92s
% Output : CNFRefutation 91.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 3
% Syntax : Number of formulae : 187 ( 187 unt; 0 def)
% Number of atoms : 187 ( 186 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 9 ( 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 : 874 ( 874 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,double_divide(B,C))),double_divide(D,double_divide(B,D))))) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),inverse(double_divide(inverse(double_divide(X0,double_divide(X1,X2))),double_divide(X3,double_divide(X1,X3))))) = X2,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),inverse(double_divide(X0,double_divide(X2,X3))))) = X3,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f13,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X0))) = X3,
inference(forward_demodulation,[status(thm)],[f5,f12]) ).
fof(f14,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,X1),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,X4),double_divide(X1,X0)))) = X4,
inference(paramodulation,[status(thm)],[f5,f13]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(inverse(X0),multiply(double_divide(X1,double_divide(inverse(X2),X1)),multiply(X3,X0))) = multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,X3),X2)),
inference(paramodulation,[status(thm)],[f13,f13]) ).
fof(f17,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X3)),inverse(X3)) = inverse(X2),
inference(paramodulation,[status(thm)],[f13,f5]) ).
fof(f18,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(double_divide(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X3)),X2),multiply(double_divide(inverse(X3),X4),X5)),inverse(X5)) = inverse(X4),
inference(paramodulation,[status(thm)],[f13,f17]) ).
fof(f19,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(double_divide(X0,double_divide(inverse(X1),X0)),multiply(X2,X3)),inverse(X3)) = inverse(multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,X2),X1))),
inference(paramodulation,[status(thm)],[f13,f17]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),double_divide(X3,X4))),multiply(X4,X3)) = inverse(X2),
inference(paramodulation,[status(thm)],[f5,f17]) ).
fof(f24,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : double_divide(multiply(X0,X1),multiply(double_divide(X2,double_divide(multiply(X3,X4),X2)),multiply(X5,double_divide(X1,X0)))) = multiply(double_divide(X6,double_divide(X7,X6)),multiply(double_divide(X7,X5),double_divide(X4,X3))),
inference(paramodulation,[status(thm)],[f14,f14]) ).
fof(f25,plain,
! [X0,X1,X2,X3,X4,X5,X6] : double_divide(multiply(X0,X1),multiply(double_divide(X2,double_divide(inverse(X3),X2)),multiply(X4,double_divide(X1,X0)))) = multiply(double_divide(X5,double_divide(X6,X5)),multiply(double_divide(X6,X4),X3)),
inference(paramodulation,[status(thm)],[f13,f14]) ).
fof(f28,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(multiply(double_divide(X0,double_divide(multiply(X1,X2),X0)),multiply(X3,X4)),inverse(X4)) = inverse(multiply(double_divide(X5,double_divide(X6,X5)),multiply(double_divide(X6,X3),double_divide(X2,X1)))),
inference(paramodulation,[status(thm)],[f14,f17]) ).
fof(f87,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X3))) = inverse(multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,X2),X3))),
inference(paramodulation,[status(thm)],[f19,f19]) ).
fof(f88,plain,
! [X0,X1,X2,X3] : inverse(X0) = inverse(multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,double_divide(inverse(X3),X0)),X3))),
inference(paramodulation,[status(thm)],[f17,f19]) ).
fof(f269,plain,
! [X0,X1,X2,X3] : X0 = multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,double_divide(inverse(X3),X0)),X3)),
inference(paramodulation,[status(thm)],[f13,f16]) ).
fof(f276,plain,
! [X0,X1,X2,X3,X4,X5,X6] : double_divide(inverse(X0),double_divide(inverse(X1),multiply(double_divide(X2,double_divide(inverse(X0),X2)),multiply(X3,X1)))) = multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,double_divide(inverse(X6),X3)),X6)),
inference(paramodulation,[status(thm)],[f16,f16]) ).
fof(f338,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(double_divide(inverse(X0),multiply(double_divide(X1,double_divide(inverse(X2),X1)),multiply(X3,X0))),inverse(X2)) = inverse(multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,double_divide(inverse(X6),X3)),X6))),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f376,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),double_divide(inverse(X1),multiply(double_divide(X2,double_divide(inverse(X0),X2)),multiply(X3,X1)))) = X3,
inference(forward_demodulation,[status(thm)],[f269,f276]) ).
fof(f379,plain,
! [X0,X1,X2,X3] : multiply(double_divide(inverse(X0),multiply(double_divide(X1,double_divide(inverse(X2),X1)),multiply(X3,X0))),inverse(X2)) = inverse(X3),
inference(forward_demodulation,[status(thm)],[f88,f338]) ).
fof(f519,plain,
! [X0,X1,X2,X3,X4] : double_divide(inverse(multiply(double_divide(X0,double_divide(inverse(X1),X2)),X1)),multiply(double_divide(X3,double_divide(X4,X3)),X2)) = double_divide(X0,X4),
inference(paramodulation,[status(thm)],[f269,f13]) ).
fof(f573,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(inverse(multiply(double_divide(X0,double_divide(inverse(X1),X2)),X1)),multiply(double_divide(X3,double_divide(inverse(X4),X3)),X2)),inverse(X4)) = inverse(double_divide(X5,double_divide(X0,X5))),
inference(paramodulation,[status(thm)],[f269,f379]) ).
fof(f584,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(multiply(double_divide(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X3)),X2),inverse(X4)),inverse(inverse(X5))) = inverse(multiply(double_divide(X6,double_divide(inverse(X5),X6)),multiply(X4,X3))),
inference(paramodulation,[status(thm)],[f379,f18]) ).
fof(f604,plain,
! [X0,X1,X2] : multiply(double_divide(X0,inverse(X1)),inverse(X1)) = inverse(double_divide(X2,double_divide(X0,X2))),
inference(forward_demodulation,[status(thm)],[f519,f573]) ).
fof(f605,plain,
! [X0,X1,X2] : multiply(double_divide(X0,inverse(X1)),inverse(X1)) = multiply(double_divide(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f5,f604]) ).
fof(f614,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X1) = multiply(double_divide(X0,X2),X2),
inference(paramodulation,[status(thm)],[f605,f605]) ).
fof(f691,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X0),X3))) = multiply(double_divide(inverse(X3),X4),X4),
inference(paramodulation,[status(thm)],[f13,f614]) ).
fof(f709,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X2)),multiply(X3,X4)) = inverse(double_divide(X4,X3)),
inference(paramodulation,[status(thm)],[f614,f20]) ).
fof(f710,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,X1),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,X4),X4))) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f614,f14]) ).
fof(f719,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X3))) = X0,
inference(paramodulation,[status(thm)],[f614,f13]) ).
fof(f720,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(inverse(X0),multiply(double_divide(X1,double_divide(inverse(X2),X1)),multiply(double_divide(X3,X4),X4))),inverse(X2)) = inverse(double_divide(X3,X0)),
inference(paramodulation,[status(thm)],[f614,f379]) ).
fof(f723,plain,
! [X0,X1,X2,X3,X4,X5,X6] : double_divide(inverse(X0),multiply(double_divide(X1,double_divide(inverse(X2),X1)),multiply(double_divide(X3,X4),X4))) = multiply(double_divide(X5,double_divide(X6,X5)),multiply(double_divide(X6,double_divide(X3,X0)),X2)),
inference(paramodulation,[status(thm)],[f614,f16]) ).
fof(f768,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X2)),multiply(X3,X4)) = multiply(X3,X4),
inference(forward_demodulation,[status(thm)],[f5,f709]) ).
fof(f782,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(inverse(X0),multiply(double_divide(X1,double_divide(inverse(X2),X1)),multiply(double_divide(X3,X4),X4))),inverse(X2)) = multiply(X0,X3),
inference(forward_demodulation,[status(thm)],[f5,f720]) ).
fof(f852,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X2)),X3) = multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,double_divide(inverse(X6),X3)),X6)),
inference(paramodulation,[status(thm)],[f269,f768]) ).
fof(f874,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X2)),X3) = X3,
inference(forward_demodulation,[status(thm)],[f269,f852]) ).
fof(f892,plain,
! [X0,X1,X2,X3] : multiply(double_divide(inverse(X0),multiply(double_divide(X1,double_divide(inverse(X2),X1)),multiply(X2,X0))),X3) = X3,
inference(paramodulation,[status(thm)],[f16,f874]) ).
fof(f945,plain,
! [X0,X1,X2,X3] : multiply(double_divide(inverse(X0),X1),X1) = multiply(double_divide(X2,double_divide(inverse(X3),X2)),multiply(X3,X0)),
inference(paramodulation,[status(thm)],[f614,f892]) ).
fof(f961,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(inverse(multiply(double_divide(X0,double_divide(inverse(X1),X2)),X1)),multiply(double_divide(X3,double_divide(inverse(double_divide(X4,double_divide(X0,X4))),X3)),X2)),X5) = X5,
inference(paramodulation,[status(thm)],[f269,f892]) ).
fof(f982,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,multiply(double_divide(X2,double_divide(inverse(X3),X2)),multiply(X3,X4))),X5))) = inverse(multiply(double_divide(X6,double_divide(inverse(X4),X6)),X5)),
inference(paramodulation,[status(thm)],[f892,f87]) ).
fof(f999,plain,
! [X0,X1,X2] : multiply(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X1)))),X2) = X2,
inference(forward_demodulation,[status(thm)],[f519,f961]) ).
fof(f1000,plain,
! [X0,X1,X2] : multiply(double_divide(X0,multiply(double_divide(X0,X1),X1)),X2) = X2,
inference(forward_demodulation,[status(thm)],[f5,f999]) ).
fof(f1035,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),X2),inverse(X2)) = inverse(multiply(double_divide(X1,X3),X3)),
inference(paramodulation,[status(thm)],[f1000,f17]) ).
fof(f1048,plain,
! [X0,X1,X2] : inverse(multiply(double_divide(X0,X1),X1)) = inverse(multiply(double_divide(X0,X2),X2)),
inference(paramodulation,[status(thm)],[f874,f1035]) ).
fof(f1052,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(X0,X1),X1),inverse(double_divide(X2,X0))) = inverse(multiply(double_divide(X2,X3),X3)),
inference(paramodulation,[status(thm)],[f614,f1035]) ).
fof(f1063,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X2,X3),X3)),multiply(multiply(double_divide(X4,double_divide(X2,X4)),X5),inverse(X5))) = inverse(multiply(double_divide(X1,X6),X6)),
inference(paramodulation,[status(thm)],[f1035,f1035]) ).
fof(f1103,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(X0,X1),X1),multiply(X0,X2)) = inverse(multiply(double_divide(X2,X3),X3)),
inference(forward_demodulation,[status(thm)],[f5,f1052]) ).
fof(f1300,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : double_divide(multiply(X0,X1),multiply(double_divide(X2,double_divide(multiply(X3,X4),X2)),multiply(multiply(double_divide(X5,X6),X6),double_divide(X1,X0)))) = multiply(double_divide(X7,double_divide(X5,X7)),double_divide(X4,X3)),
inference(paramodulation,[status(thm)],[f1000,f24]) ).
fof(f1509,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : double_divide(multiply(X0,X1),multiply(double_divide(X2,double_divide(inverse(X3),X2)),multiply(multiply(double_divide(X4,double_divide(inverse(X5),X4)),multiply(X5,X6)),double_divide(X1,X0)))) = multiply(double_divide(X7,double_divide(inverse(X6),X7)),X3),
inference(paramodulation,[status(thm)],[f892,f25]) ).
fof(f1691,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(multiply(double_divide(X0,double_divide(multiply(X1,X2),X0)),multiply(double_divide(X3,X4),X4)),inverse(X5)) = inverse(multiply(double_divide(X6,double_divide(X7,X6)),multiply(double_divide(X7,double_divide(X3,X5)),double_divide(X2,X1)))),
inference(paramodulation,[status(thm)],[f614,f28]) ).
fof(f1697,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : multiply(multiply(double_divide(X0,double_divide(multiply(X1,X2),X0)),inverse(X3)),inverse(inverse(X4))) = inverse(multiply(double_divide(X5,double_divide(X6,X5)),multiply(double_divide(X6,multiply(double_divide(X7,double_divide(X8,X7)),multiply(double_divide(X8,X3),X4))),double_divide(X2,X1)))),
inference(paramodulation,[status(thm)],[f17,f28]) ).
fof(f1851,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(inverse(X0),multiply(double_divide(X1,double_divide(inverse(X2),X1)),multiply(X2,multiply(double_divide(X3,double_divide(X4,X3)),multiply(double_divide(X4,X5),X5))))) = X0,
inference(paramodulation,[status(thm)],[f719,f719]) ).
fof(f2090,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : double_divide(double_divide(multiply(X0,X1),multiply(double_divide(X2,double_divide(multiply(X3,X4),X2)),multiply(X5,double_divide(X1,X0)))),multiply(double_divide(X6,double_divide(X7,X6)),multiply(double_divide(X7,X8),X8))) = double_divide(multiply(double_divide(X9,X5),double_divide(X4,X3)),double_divide(X10,double_divide(X9,X10))),
inference(paramodulation,[status(thm)],[f24,f710]) ).
fof(f2275,plain,
! [X0,X1,X2,X3,X4] : double_divide(inverse(X0),double_divide(inverse(X1),multiply(double_divide(X2,double_divide(inverse(X0),X2)),multiply(double_divide(X3,X4),X4)))) = double_divide(X3,X1),
inference(paramodulation,[status(thm)],[f614,f376]) ).
fof(f2284,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(inverse(X0),double_divide(inverse(multiply(X1,X2)),multiply(double_divide(X3,double_divide(inverse(X0),X3)),inverse(multiply(double_divide(X2,X4),X4))))) = multiply(double_divide(X1,X5),X5),
inference(paramodulation,[status(thm)],[f1103,f376]) ).
fof(f2531,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : multiply(double_divide(multiply(multiply(double_divide(X0,double_divide(inverse(X1),X0)),multiply(X2,X3)),inverse(X3)),X4),X4) = multiply(double_divide(X5,double_divide(inverse(X6),X5)),multiply(X6,multiply(double_divide(X7,double_divide(X8,X7)),multiply(double_divide(X8,X2),X1)))),
inference(paramodulation,[status(thm)],[f19,f945]) ).
fof(f2572,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(inverse(multiply(X0,X1)),X2),X2) = multiply(double_divide(X3,double_divide(inverse(multiply(double_divide(X0,X4),X4)),X3)),inverse(multiply(double_divide(X1,X5),X5))),
inference(paramodulation,[status(thm)],[f1103,f945]) ).
fof(f2615,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : double_divide(multiply(X0,X1),multiply(double_divide(X2,double_divide(multiply(double_divide(X3,double_divide(inverse(X4),X3)),multiply(X4,X5)),X2)),multiply(X6,double_divide(X1,X0)))) = multiply(double_divide(X7,double_divide(X8,X7)),multiply(double_divide(X8,X6),double_divide(X9,double_divide(inverse(X5),X9)))),
inference(paramodulation,[status(thm)],[f945,f24]) ).
fof(f2646,plain,
! [X0,X1,X2,X3,X4] : double_divide(inverse(multiply(X0,X1)),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(inverse(X1),X4),X4))) = double_divide(inverse(X0),X3),
inference(paramodulation,[status(thm)],[f945,f13]) ).
fof(f2658,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(inverse(multiply(X0,X1)),multiply(double_divide(X2,double_divide(inverse(X3),X2)),multiply(double_divide(inverse(X1),X4),X4))),inverse(X3)) = inverse(double_divide(X5,double_divide(inverse(X0),X5))),
inference(paramodulation,[status(thm)],[f945,f379]) ).
fof(f2695,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),inverse(X1)) = inverse(double_divide(X2,double_divide(inverse(X0),X2))),
inference(forward_demodulation,[status(thm)],[f782,f2658]) ).
fof(f2696,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),inverse(X1)) = multiply(double_divide(inverse(X0),X2),X2),
inference(forward_demodulation,[status(thm)],[f5,f2695]) ).
fof(f2703,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),inverse(inverse(X1))) = multiply(double_divide(inverse(double_divide(inverse(X2),multiply(double_divide(X3,double_divide(inverse(X1),X3)),multiply(X0,X2)))),X4),X4),
inference(paramodulation,[status(thm)],[f379,f2696]) ).
fof(f2705,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(X0,X1),inverse(X1)),inverse(X2)) = multiply(double_divide(inverse(double_divide(inverse(X0),X2)),X3),X3),
inference(paramodulation,[status(thm)],[f2696,f2696]) ).
fof(f2725,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(inverse(X0),X1),X1),inverse(inverse(X2))) = multiply(double_divide(inverse(multiply(X0,X2)),X3),X3),
inference(paramodulation,[status(thm)],[f2696,f2696]) ).
fof(f2733,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(X0,multiply(double_divide(X1,X2),X2)),multiply(multiply(double_divide(X3,double_divide(X1,X3)),X4),inverse(X4))) = multiply(double_divide(inverse(X0),X5),X5),
inference(paramodulation,[status(thm)],[f1035,f2696]) ).
fof(f2754,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(X0,X1),X2),inverse(X2)) = multiply(double_divide(multiply(X1,X0),X3),X3),
inference(paramodulation,[status(thm)],[f5,f2696]) ).
fof(f2759,plain,
! [X0,X1,X2,X3,X4] : double_divide(inverse(X0),double_divide(inverse(inverse(X1)),multiply(double_divide(X2,double_divide(inverse(X0),X2)),multiply(double_divide(inverse(X3),X4),X4)))) = multiply(X3,X1),
inference(paramodulation,[status(thm)],[f2696,f376]) ).
fof(f2769,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(inverse(inverse(X0)),multiply(double_divide(X1,double_divide(inverse(X2),X1)),multiply(double_divide(inverse(X3),X4),X4))),inverse(X2)) = inverse(multiply(X3,X0)),
inference(paramodulation,[status(thm)],[f2696,f379]) ).
fof(f2835,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(X0),inverse(inverse(X1))) = multiply(double_divide(X2,double_divide(inverse(X3),X2)),multiply(X3,multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,X0),X1)))),
inference(backward_demodulation,[status(thm)],[f2836,f2531]) ).
fof(f2836,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),inverse(inverse(X1))) = multiply(double_divide(multiply(multiply(double_divide(X2,double_divide(inverse(X1),X2)),multiply(X0,X3)),inverse(X3)),X4),X4),
inference(forward_demodulation,[status(thm)],[f5,f2703]) ).
fof(f2839,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(X0,X1),inverse(X1)),inverse(X2)) = multiply(double_divide(multiply(X2,inverse(X0)),X3),X3),
inference(forward_demodulation,[status(thm)],[f5,f2705]) ).
fof(f2860,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(X1)) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f2275,f2759]) ).
fof(f2873,plain,
! [X0,X1] : multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f782,f2769]) ).
fof(f2885,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(multiply(inverse(X1),X1))) = X0,
inference(backward_demodulation,[status(thm)],[f2888,f1851]) ).
fof(f2888,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(inverse(X0),X1)) = multiply(double_divide(X2,double_divide(inverse(X3),X2)),multiply(X3,multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,X1),X0)))),
inference(forward_demodulation,[status(thm)],[f2873,f2835]) ).
fof(f2903,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f2860,f2885]) ).
fof(f2950,plain,
! [X0,X1] : multiply(X0,inverse(multiply(inverse(X1),X1))) = X0,
inference(paramodulation,[status(thm)],[f2903,f2903]) ).
fof(f2973,plain,
! [X0,X1,X2] : double_divide(inverse(X0),double_divide(inverse(X1),double_divide(X2,double_divide(inverse(X0),X2)))) = inverse(X1),
inference(paramodulation,[status(thm)],[f2903,f376]) ).
fof(f2983,plain,
! [X0,X1,X2] : inverse(multiply(double_divide(X0,X1),X1)) = inverse(double_divide(X0,multiply(inverse(X2),X2))),
inference(paramodulation,[status(thm)],[f2903,f1048]) ).
fof(f2987,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),X2),inverse(X2)) = inverse(double_divide(X1,multiply(inverse(X3),X3))),
inference(paramodulation,[status(thm)],[f2903,f1035]) ).
fof(f2999,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),double_divide(X1,X2)),inverse(multiply(inverse(X3),X3))) = inverse(X2),
inference(paramodulation,[status(thm)],[f2903,f17]) ).
fof(f3000,plain,
! [X0,X1,X2,X3] : double_divide(inverse(multiply(inverse(X0),X0)),multiply(double_divide(X1,double_divide(X2,X1)),double_divide(X2,X3))) = X3,
inference(paramodulation,[status(thm)],[f2903,f13]) ).
fof(f3004,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(X1),X1))) = multiply(double_divide(inverse(X0),X2),X2),
inference(paramodulation,[status(thm)],[f2903,f2696]) ).
fof(f3031,plain,
! [X0,X1,X2] : inverse(multiply(double_divide(X0,X1),X1)) = multiply(multiply(inverse(X2),X2),X0),
inference(forward_demodulation,[status(thm)],[f5,f2983]) ).
fof(f3034,plain,
! [X0,X1,X2,X3] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),X2),inverse(X2)) = multiply(multiply(inverse(X3),X3),X1),
inference(forward_demodulation,[status(thm)],[f5,f2987]) ).
fof(f3048,plain,
! [X0,X1,X2] : multiply(double_divide(X0,double_divide(X1,X0)),double_divide(X1,X2)) = inverse(X2),
inference(forward_demodulation,[status(thm)],[f2950,f2999]) ).
fof(f3049,plain,
! [X0,X1] : double_divide(inverse(multiply(inverse(X0),X0)),inverse(X1)) = X1,
inference(forward_demodulation,[status(thm)],[f3048,f3000]) ).
fof(f3050,plain,
! [X0,X1,X2] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),X2),inverse(X2)) = X1,
inference(backward_demodulation,[status(thm)],[f3053,f3034]) ).
fof(f3052,plain,
! [X0,X1] : inverse(multiply(double_divide(X0,X1),X1)) = X0,
inference(backward_demodulation,[status(thm)],[f3053,f3031]) ).
fof(f3053,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f2860,f3049]) ).
fof(f3054,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(backward_demodulation,[status(thm)],[f3192,f2696]) ).
fof(f3055,plain,
! [X0,X1,X2] : X0 = multiply(double_divide(X1,double_divide(inverse(X2),X1)),multiply(X2,X0)),
inference(backward_demodulation,[status(thm)],[f3192,f945]) ).
fof(f3077,plain,
! [X0,X1,X2] : multiply(multiply(double_divide(inverse(X0),X1),X1),inverse(inverse(X2))) = multiply(X0,X2),
inference(backward_demodulation,[status(thm)],[f3192,f2725]) ).
fof(f3078,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,X1) = multiply(double_divide(X2,double_divide(inverse(multiply(double_divide(X0,X3),X3)),X2)),inverse(multiply(double_divide(X1,X4),X4))),
inference(backward_demodulation,[status(thm)],[f3192,f2572]) ).
fof(f3103,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,multiply(double_divide(X1,X2),X2)),multiply(multiply(double_divide(X3,double_divide(X1,X3)),X4),inverse(X4))) = X0,
inference(backward_demodulation,[status(thm)],[f3192,f2733]) ).
fof(f3122,plain,
! [X0,X1,X2,X3] : double_divide(inverse(multiply(X0,X1)),multiply(double_divide(X2,double_divide(X3,X2)),X1)) = double_divide(inverse(X0),X3),
inference(backward_demodulation,[status(thm)],[f3192,f2646]) ).
fof(f3189,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X0),X3))) = X3,
inference(backward_demodulation,[status(thm)],[f3192,f691]) ).
fof(f3192,plain,
! [X0,X1] : X0 = multiply(double_divide(inverse(X0),X1),X1),
inference(forward_demodulation,[status(thm)],[f2950,f3004]) ).
fof(f3253,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X2,X3),X3)),X2) = inverse(multiply(double_divide(X1,X4),X4)),
inference(backward_demodulation,[status(thm)],[f3050,f1063]) ).
fof(f3330,plain,
! [X0,X1,X2,X3,X4] : double_divide(inverse(X0),double_divide(inverse(multiply(X1,X2)),multiply(double_divide(X3,double_divide(inverse(X0),X3)),X2))) = multiply(double_divide(X1,X4),X4),
inference(backward_demodulation,[status(thm)],[f3052,f2284]) ).
fof(f3409,plain,
! [X0,X1,X2] : double_divide(X0,X1) = multiply(double_divide(multiply(X1,X0),X2),X2),
inference(backward_demodulation,[status(thm)],[f3054,f2754]) ).
fof(f3455,plain,
! [X0,X1,X2] : multiply(X0,inverse(X1)) = multiply(double_divide(multiply(X1,inverse(X0)),X2),X2),
inference(backward_demodulation,[status(thm)],[f3054,f2839]) ).
fof(f3457,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(X0),X1)) = multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,X1),X0)),
inference(backward_demodulation,[status(thm)],[f3055,f2888]) ).
fof(f3479,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : double_divide(multiply(X0,X1),multiply(double_divide(X2,double_divide(X3,X2)),multiply(X4,double_divide(X1,X0)))) = multiply(double_divide(X5,double_divide(X6,X5)),multiply(double_divide(X6,X4),double_divide(X7,double_divide(inverse(X3),X7)))),
inference(backward_demodulation,[status(thm)],[f3055,f2615]) ).
fof(f3519,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(X0,X1),multiply(double_divide(X2,double_divide(inverse(X3),X2)),multiply(X4,double_divide(X1,X0)))) = multiply(double_divide(X5,double_divide(inverse(X4),X5)),X3),
inference(backward_demodulation,[status(thm)],[f3055,f1509]) ).
fof(f3537,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X3))) = inverse(multiply(double_divide(X4,double_divide(inverse(X2),X4)),X3)),
inference(backward_demodulation,[status(thm)],[f3055,f982]) ).
fof(f3561,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(multiply(double_divide(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X3)),X2),inverse(X4)),X5) = inverse(multiply(double_divide(X6,double_divide(inverse(X5),X6)),multiply(X4,X3))),
inference(backward_demodulation,[status(thm)],[f3575,f584]) ).
fof(f3565,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : multiply(multiply(double_divide(X0,double_divide(multiply(X1,X2),X0)),inverse(X3)),X4) = inverse(multiply(double_divide(X5,double_divide(X6,X5)),multiply(double_divide(X6,multiply(double_divide(X7,double_divide(X8,X7)),multiply(double_divide(X8,X3),X4))),double_divide(X2,X1)))),
inference(backward_demodulation,[status(thm)],[f3575,f1697]) ).
fof(f3575,plain,
! [X0,X1] : multiply(X0,inverse(inverse(X1))) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f3192,f3077]) ).
fof(f3576,plain,
! [X0,X1,X2,X3] : multiply(X0,X1) = multiply(double_divide(X2,double_divide(X0,X2)),inverse(multiply(double_divide(X1,X3),X3))),
inference(forward_demodulation,[status(thm)],[f3052,f3078]) ).
fof(f3679,plain,
! [X0,X1,X2,X3,X4,X5,X6] : double_divide(multiply(X0,X1),multiply(multiply(X2,X3),multiply(multiply(double_divide(X4,X5),X5),double_divide(X1,X0)))) = multiply(double_divide(X6,double_divide(X4,X6)),double_divide(X3,X2)),
inference(backward_demodulation,[status(thm)],[f4456,f1300]) ).
fof(f3696,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(multiply(multiply(X0,X1),multiply(double_divide(X2,X3),X3)),inverse(X4)) = inverse(multiply(double_divide(X5,double_divide(X6,X5)),multiply(double_divide(X6,double_divide(X2,X4)),double_divide(X1,X0)))),
inference(backward_demodulation,[status(thm)],[f4456,f1691]) ).
fof(f3737,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : double_divide(double_divide(multiply(X0,X1),multiply(multiply(X2,X3),multiply(X4,double_divide(X1,X0)))),multiply(double_divide(X5,double_divide(X6,X5)),multiply(double_divide(X6,X7),X7))) = double_divide(multiply(double_divide(X8,X4),double_divide(X3,X2)),double_divide(X9,double_divide(X8,X9))),
inference(backward_demodulation,[status(thm)],[f4456,f2090]) ).
fof(f3951,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(inverse(X0),multiply(inverse(X1),multiply(double_divide(X2,X3),X3))) = multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,double_divide(X2,X0)),X1)),
inference(backward_demodulation,[status(thm)],[f4456,f723]) ).
fof(f4456,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(double_divide(X2,double_divide(X0,X2)),X1),
inference(forward_demodulation,[status(thm)],[f3052,f3576]) ).
fof(f4492,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(double_divide(X1,X2),X2)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f3050,f3103]) ).
fof(f4518,plain,
! [X0,X1,X2] : double_divide(inverse(multiply(X0,X1)),multiply(X2,X1)) = double_divide(inverse(X0),X2),
inference(forward_demodulation,[status(thm)],[f4456,f3122]) ).
fof(f4650,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(double_divide(X1,X0),X2))) = X2,
inference(forward_demodulation,[status(thm)],[f4456,f3189]) ).
fof(f4747,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(X1,X0)) = inverse(multiply(double_divide(X1,X2),X2)),
inference(forward_demodulation,[status(thm)],[f4492,f3253]) ).
fof(f4775,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f3052,f4747]) ).
fof(f4911,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),double_divide(inverse(X1),double_divide(X2,double_divide(inverse(X0),X2)))) = multiply(double_divide(X1,X3),X3),
inference(forward_demodulation,[status(thm)],[f4518,f3330]) ).
fof(f4956,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f2973,f4911]) ).
fof(f5187,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f4956,f3409]) ).
fof(f5283,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = inverse(multiply(X1,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f4956,f3455]) ).
fof(f5308,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
inference(forward_demodulation,[status(thm)],[f5187,f5283]) ).
fof(f5309,plain,
! [X0,X1,X2,X3] : double_divide(X0,inverse(X1)) = multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,X0),X1)),
inference(forward_demodulation,[status(thm)],[f5187,f3457]) ).
fof(f5332,plain,
! [X0,X1,X2] : double_divide(X0,inverse(X1)) = multiply(X2,multiply(double_divide(X2,X0),X1)),
inference(forward_demodulation,[status(thm)],[f4456,f5309]) ).
fof(f5390,plain,
! [X0,X1,X2,X3,X4,X5,X6] : double_divide(multiply(X0,X1),multiply(X2,multiply(X3,double_divide(X1,X0)))) = multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,X3),double_divide(X6,double_divide(inverse(X2),X6)))),
inference(forward_demodulation,[status(thm)],[f4456,f3479]) ).
fof(f5391,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(X0,X1),multiply(X2,multiply(X3,double_divide(X1,X0)))) = multiply(X4,multiply(double_divide(X4,X3),double_divide(X5,double_divide(inverse(X2),X5)))),
inference(forward_demodulation,[status(thm)],[f4456,f5390]) ).
fof(f5392,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,X1),multiply(X2,multiply(X3,double_divide(X1,X0)))) = double_divide(X3,inverse(double_divide(X4,double_divide(inverse(X2),X4)))),
inference(forward_demodulation,[status(thm)],[f5332,f5391]) ).
fof(f5393,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,X1),multiply(X2,multiply(X3,double_divide(X1,X0)))) = double_divide(X3,multiply(double_divide(inverse(X2),X4),X4)),
inference(forward_demodulation,[status(thm)],[f5,f5392]) ).
fof(f5396,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),multiply(X2,multiply(X3,double_divide(X1,X0)))) = double_divide(X3,X2),
inference(forward_demodulation,[status(thm)],[f3192,f5393]) ).
fof(f5517,plain,
! [X0,X1,X2,X3] : double_divide(X0,double_divide(X1,double_divide(inverse(X2),X1))) = multiply(double_divide(X3,double_divide(inverse(X0),X3)),X2),
inference(forward_demodulation,[status(thm)],[f5396,f3519]) ).
fof(f5518,plain,
! [X0,X1,X2] : double_divide(X0,inverse(X1)) = multiply(double_divide(X2,double_divide(inverse(X0),X2)),X1),
inference(forward_demodulation,[status(thm)],[f4775,f5517]) ).
fof(f5543,plain,
! [X0,X1] : double_divide(X0,inverse(X1)) = multiply(inverse(X0),X1),
inference(forward_demodulation,[status(thm)],[f4456,f5518]) ).
fof(f5617,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(double_divide(X0,X1),X2),double_divide(X3,double_divide(X0,X3))) = inverse(multiply(double_divide(X4,double_divide(inverse(X1),X4)),X2)),
inference(forward_demodulation,[status(thm)],[f5187,f3537]) ).
fof(f5618,plain,
! [X0,X1,X2,X3] : double_divide(multiply(double_divide(X0,X1),X2),X0) = inverse(multiply(double_divide(X3,double_divide(inverse(X1),X3)),X2)),
inference(forward_demodulation,[status(thm)],[f4775,f5617]) ).
fof(f5619,plain,
! [X0,X1,X2,X3] : double_divide(multiply(double_divide(X0,X1),X2),X0) = double_divide(X2,double_divide(X3,double_divide(inverse(X1),X3))),
inference(forward_demodulation,[status(thm)],[f5187,f5618]) ).
fof(f5623,plain,
! [X0,X1,X2] : double_divide(multiply(double_divide(X0,X1),X2),X0) = double_divide(X2,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f4775,f5619]) ).
fof(f5654,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(double_divide(inverse(double_divide(multiply(double_divide(X0,double_divide(X1,X0)),multiply(double_divide(X1,X2),X3)),X2)),X4),X5) = inverse(multiply(double_divide(X6,double_divide(inverse(X5),X6)),multiply(X4,X3))),
inference(forward_demodulation,[status(thm)],[f5308,f3561]) ).
fof(f5655,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(double_divide(multiply(X0,multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X0),X3))),X4),X5) = inverse(multiply(double_divide(X6,double_divide(inverse(X5),X6)),multiply(X4,X3))),
inference(forward_demodulation,[status(thm)],[f5,f5654]) ).
fof(f5656,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(multiply(X0,multiply(X1,multiply(double_divide(X1,X0),X2))),X3),X4) = inverse(multiply(double_divide(X5,double_divide(inverse(X4),X5)),multiply(X3,X2))),
inference(forward_demodulation,[status(thm)],[f4456,f5655]) ).
fof(f5657,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),X2) = inverse(multiply(double_divide(X3,double_divide(inverse(X2),X3)),multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f4650,f5656]) ).
fof(f5658,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),X2) = double_divide(multiply(X1,X0),double_divide(X3,double_divide(inverse(X2),X3))),
inference(forward_demodulation,[status(thm)],[f5187,f5657]) ).
fof(f5660,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X2) = double_divide(multiply(X1,X0),inverse(X2)),
inference(forward_demodulation,[status(thm)],[f4775,f5658]) ).
fof(f5695,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(multiply(multiply(X0,X1),inverse(X2)),X3) = inverse(multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,multiply(double_divide(X6,double_divide(X7,X6)),multiply(double_divide(X7,X2),X3))),double_divide(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f4456,f3565]) ).
fof(f5696,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(double_divide(inverse(multiply(X0,X1)),X2),X3) = inverse(multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,multiply(double_divide(X6,double_divide(X7,X6)),multiply(double_divide(X7,X2),X3))),double_divide(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f5308,f5695]) ).
fof(f5697,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(double_divide(double_divide(X0,X1),X2),X3) = inverse(multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,multiply(double_divide(X6,double_divide(X7,X6)),multiply(double_divide(X7,X2),X3))),double_divide(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f5187,f5696]) ).
fof(f5698,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(double_divide(double_divide(X0,X1),X2),X3) = double_divide(multiply(double_divide(X4,multiply(double_divide(X5,double_divide(X6,X5)),multiply(double_divide(X6,X2),X3))),double_divide(X0,X1)),double_divide(X7,double_divide(X4,X7))),
inference(forward_demodulation,[status(thm)],[f5187,f5697]) ).
fof(f5699,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(double_divide(double_divide(X0,X1),X2),X3) = double_divide(multiply(double_divide(X4,multiply(X5,multiply(double_divide(X5,X2),X3))),double_divide(X0,X1)),double_divide(X6,double_divide(X4,X6))),
inference(forward_demodulation,[status(thm)],[f4456,f5698]) ).
fof(f5700,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(double_divide(X0,X1),X2),X3) = double_divide(multiply(double_divide(X4,double_divide(X2,inverse(X3))),double_divide(X0,X1)),double_divide(X5,double_divide(X4,X5))),
inference(forward_demodulation,[status(thm)],[f5332,f5699]) ).
fof(f5701,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(double_divide(X0,X1),X2),X3) = double_divide(multiply(double_divide(X4,double_divide(X2,inverse(X3))),double_divide(X0,X1)),X4),
inference(forward_demodulation,[status(thm)],[f4775,f5700]) ).
fof(f5702,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,X1),X2),X3) = double_divide(double_divide(X0,X1),inverse(double_divide(X2,inverse(X3)))),
inference(forward_demodulation,[status(thm)],[f5623,f5701]) ).
fof(f5703,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,X1),X2),X3) = double_divide(double_divide(X0,X1),multiply(inverse(X3),X2)),
inference(forward_demodulation,[status(thm)],[f5,f5702]) ).
fof(f5705,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,X1),X2),X3) = double_divide(double_divide(X0,X1),double_divide(X3,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f5543,f5703]) ).
fof(f6503,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(double_divide(X0,X1),X1),multiply(X2,X3)) = multiply(double_divide(X4,double_divide(X0,X4)),double_divide(X3,X2)),
inference(forward_demodulation,[status(thm)],[f5396,f3679]) ).
fof(f6504,plain,
! [X0,X1,X2,X3] : double_divide(inverse(X0),multiply(X1,X2)) = multiply(double_divide(X3,double_divide(X0,X3)),double_divide(X2,X1)),
inference(forward_demodulation,[status(thm)],[f4956,f6503]) ).
fof(f6512,plain,
! [X0,X1,X2] : double_divide(inverse(X0),multiply(X1,X2)) = multiply(X0,double_divide(X2,X1)),
inference(forward_demodulation,[status(thm)],[f4456,f6504]) ).
fof(f6577,plain,
! [X0,X1,X2,X3,X4,X5,X6] : double_divide(inverse(multiply(multiply(X0,X1),multiply(double_divide(X2,X3),X3))),X4) = inverse(multiply(double_divide(X5,double_divide(X6,X5)),multiply(double_divide(X6,double_divide(X2,X4)),double_divide(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f5308,f3696]) ).
fof(f6578,plain,
! [X0,X1,X2,X3,X4,X5,X6] : double_divide(double_divide(multiply(double_divide(X0,X1),X1),multiply(X2,X3)),X4) = inverse(multiply(double_divide(X5,double_divide(X6,X5)),multiply(double_divide(X6,double_divide(X0,X4)),double_divide(X3,X2)))),
inference(forward_demodulation,[status(thm)],[f5187,f6577]) ).
fof(f6579,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(double_divide(inverse(X0),multiply(X1,X2)),X3) = inverse(multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,double_divide(X0,X3)),double_divide(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f4956,f6578]) ).
fof(f6580,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(X0,double_divide(X1,X2)),X3) = inverse(multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,double_divide(X0,X3)),double_divide(X1,X2)))),
inference(forward_demodulation,[status(thm)],[f6512,f6579]) ).
fof(f6581,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(multiply(X0,double_divide(X1,X2)),X3) = double_divide(multiply(double_divide(X4,double_divide(X0,X3)),double_divide(X1,X2)),double_divide(X5,double_divide(X4,X5))),
inference(forward_demodulation,[status(thm)],[f5187,f6580]) ).
fof(f6582,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,double_divide(X1,X2)),X3) = double_divide(multiply(double_divide(X4,double_divide(X0,X3)),double_divide(X1,X2)),X4),
inference(forward_demodulation,[status(thm)],[f4775,f6581]) ).
fof(f6583,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,double_divide(X1,X2)),X3) = double_divide(double_divide(X1,X2),inverse(double_divide(X0,X3))),
inference(forward_demodulation,[status(thm)],[f5623,f6582]) ).
fof(f6588,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,double_divide(X1,X2)),X3) = double_divide(double_divide(X1,X2),multiply(X3,X0)),
inference(forward_demodulation,[status(thm)],[f5,f6583]) ).
fof(f6967,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : double_divide(double_divide(X0,multiply(X1,X2)),multiply(double_divide(X3,double_divide(X4,X3)),multiply(double_divide(X4,X5),X5))) = double_divide(multiply(double_divide(X6,X0),double_divide(X2,X1)),double_divide(X7,double_divide(X6,X7))),
inference(forward_demodulation,[status(thm)],[f5396,f3737]) ).
fof(f6968,plain,
! [X0,X1,X2,X3,X4,X5,X6] : double_divide(double_divide(X0,multiply(X1,X2)),multiply(X3,multiply(double_divide(X3,X4),X4))) = double_divide(multiply(double_divide(X5,X0),double_divide(X2,X1)),double_divide(X6,double_divide(X5,X6))),
inference(forward_demodulation,[status(thm)],[f4456,f6967]) ).
fof(f6969,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(double_divide(X0,multiply(X1,X2)),double_divide(X3,inverse(X3))) = double_divide(multiply(double_divide(X4,X0),double_divide(X2,X1)),double_divide(X5,double_divide(X4,X5))),
inference(forward_demodulation,[status(thm)],[f5332,f6968]) ).
fof(f6970,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(double_divide(X0,multiply(X1,X2)),X3),X3) = double_divide(multiply(double_divide(X4,X0),double_divide(X2,X1)),double_divide(X5,double_divide(X4,X5))),
inference(forward_demodulation,[status(thm)],[f5705,f6969]) ).
fof(f6971,plain,
! [X0,X1,X2,X3,X4] : inverse(double_divide(X0,multiply(X1,X2))) = double_divide(multiply(double_divide(X3,X0),double_divide(X2,X1)),double_divide(X4,double_divide(X3,X4))),
inference(forward_demodulation,[status(thm)],[f4956,f6970]) ).
fof(f6972,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1),X2) = double_divide(multiply(double_divide(X3,X2),double_divide(X1,X0)),double_divide(X4,double_divide(X3,X4))),
inference(forward_demodulation,[status(thm)],[f5,f6971]) ).
fof(f6973,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1),X2) = double_divide(double_divide(X1,X0),multiply(double_divide(X3,double_divide(X4,X3)),double_divide(X4,X2))),
inference(forward_demodulation,[status(thm)],[f6588,f6972]) ).
fof(f6983,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = double_divide(double_divide(X1,X0),inverse(X2)),
inference(forward_demodulation,[status(thm)],[f3048,f6973]) ).
fof(f9279,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,double_divide(multiply(double_divide(X1,X2),X2),inverse(X3))) = multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,double_divide(X1,X0)),X3)),
inference(forward_demodulation,[status(thm)],[f6512,f3951]) ).
fof(f9280,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(double_divide(X1,double_divide(X2,X1)),X3)) = multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,double_divide(X2,X0)),X3)),
inference(forward_demodulation,[status(thm)],[f5660,f9279]) ).
fof(f9281,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,X2)) = multiply(double_divide(X3,double_divide(X4,X3)),multiply(double_divide(X4,double_divide(X1,X0)),X2)),
inference(forward_demodulation,[status(thm)],[f4456,f9280]) ).
fof(f9282,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(X3,multiply(double_divide(X3,double_divide(X1,X0)),X2)),
inference(forward_demodulation,[status(thm)],[f4456,f9281]) ).
fof(f9283,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = double_divide(double_divide(X1,X0),inverse(X2)),
inference(forward_demodulation,[status(thm)],[f5332,f9282]) ).
fof(f9284,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f9299,f6]) ).
fof(f9299,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f6983,f9283]) ).
fof(f16761,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f9284]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP501-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:15:13 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 91.31/11.92 % Refutation found
% 91.31/11.92 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 91.31/11.92 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.46/12.03 % Elapsed time: 11.645831 seconds
% 14.46/12.03 % CPU time: 92.043010 seconds
% 14.46/12.03 % Total memory used: 771.380 MB
% 14.46/12.03 % Net memory used: 759.395 MB
%------------------------------------------------------------------------------