%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP432-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 12:34:12 PM UTC 2026
% Result : Unsatisfiable 23.27s 8.43s
% Output : CNFRefutation 18.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 2
% Syntax : Number of formulae : 149 ( 149 unt; 0 def)
% Number of atoms : 149 ( 148 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 : 12 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 705 ( 705 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : multiply(A,inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,B))),A)))) = D,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),X0)))) = X3,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f4,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X5)))))),inverse(multiply(X5,X2))) = X4,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))),multiply(X4,inverse(X4))),multiply(X2,X0)))) = X3,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),X4))),multiply(multiply(multiply(X5,inverse(X5)),inverse(X3)),X0)))) = X4,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X1))),multiply(X5,inverse(X5))),X0)))) = multiply(X4,multiply(X6,inverse(X6))),
inference(paramodulation,[status(thm)],[f11,f11]) ).
fof(f14,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(X3,X0)))) = multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X1,X3))),multiply(X5,inverse(X5))),
inference(paramodulation,[status(thm)],[f3,f11]) ).
fof(f44,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X4))),multiply(X5,inverse(X5))))),multiply(X6,inverse(X6))),multiply(X7,X0)))) = inverse(multiply(multiply(X3,multiply(X8,inverse(X8))),multiply(X4,X7))),
inference(paramodulation,[status(thm)],[f14,f11]) ).
fof(f46,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(multiply(X1,inverse(multiply(multiply(X2,multiply(X3,inverse(X3))),multiply(X4,X1)))),multiply(X2,X0)))) = X4,
inference(paramodulation,[status(thm)],[f14,f11]) ).
fof(f47,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(X2,inverse(multiply(multiply(X3,multiply(X4,inverse(X4))),multiply(X1,X2))))))) = X3,
inference(paramodulation,[status(thm)],[f14,f3]) ).
fof(f110,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))) = multiply(multiply(X3,inverse(X3)),inverse(multiply(X1,X2))),
inference(paramodulation,[status(thm)],[f11,f47]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(multiply(X0,inverse(X0)),inverse(X1)) = multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X3,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,X3))),multiply(multiply(X6,inverse(X6)),inverse(multiply(X1,X7)))))),inverse(multiply(X7,X5))))),
inference(paramodulation,[status(thm)],[f10,f110]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,inverse(multiply(multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,inverse(X3))))),multiply(X4,X0)))) = multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(X1,X4))),multiply(X6,inverse(X6))),
inference(paramodulation,[status(thm)],[f110,f14]) ).
fof(f199,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,inverse(multiply(multiply(inverse(multiply(X1,X2)),inverse(multiply(multiply(X3,multiply(X4,inverse(X4))),multiply(multiply(X5,inverse(X5)),inverse(multiply(X1,X2)))))),multiply(X3,X0)))) = multiply(X6,inverse(X6)),
inference(paramodulation,[status(thm)],[f110,f46]) ).
fof(f243,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),inverse(X1)) = multiply(multiply(X2,inverse(X2)),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f10,f146]) ).
fof(f253,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f46,f199]) ).
fof(f267,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(multiply(multiply(X1,inverse(X1)),multiply(X2,inverse(X2))),multiply(X3,X0)))) = inverse(X3),
inference(paramodulation,[status(thm)],[f253,f11]) ).
fof(f268,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(X1),multiply(multiply(X2,inverse(X2)),X0)))) = X1,
inference(paramodulation,[status(thm)],[f253,f3]) ).
fof(f289,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2)))),multiply(X3,inverse(X3))),multiply(X4,X0)))) = inverse(X4),
inference(paramodulation,[status(thm)],[f253,f11]) ).
fof(f333,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X0))),inverse(multiply(inverse(X1),multiply(X2,inverse(X2))))) = X1,
inference(paramodulation,[status(thm)],[f253,f268]) ).
fof(f363,plain,
! [X0,X1,X2] : multiply(X0,inverse(X0)) = multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2)))),
inference(paramodulation,[status(thm)],[f253,f243]) ).
fof(f418,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,inverse(multiply(multiply(multiply(X1,inverse(X1)),multiply(X2,inverse(X2))),multiply(inverse(X3),X0)))) = multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(multiply(X5,inverse(X5)),inverse(X3)))),multiply(X6,inverse(X6))),
inference(paramodulation,[status(thm)],[f243,f14]) ).
fof(f470,plain,
! [X0,X1,X2,X3] : inverse(inverse(X0)) = multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(X2,inverse(X2)),inverse(X0)))),multiply(X3,inverse(X3))),
inference(forward_demodulation,[status(thm)],[f267,f418]) ).
fof(f512,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X0))),inverse(multiply(inverse(X1),multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,inverse(X3))))))) = X1,
inference(paramodulation,[status(thm)],[f363,f268]) ).
fof(f533,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,inverse(X5))))))))),inverse(multiply(inverse(X6),X2))) = X6,
inference(paramodulation,[status(thm)],[f363,f10]) ).
fof(f536,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(X0),inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,inverse(X4))))))) = multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(X1,X0))),multiply(X6,inverse(X6))),
inference(paramodulation,[status(thm)],[f363,f14]) ).
fof(f538,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,inverse(X3)))))),multiply(X4,inverse(X4))),multiply(X5,X0)))) = inverse(X5),
inference(paramodulation,[status(thm)],[f363,f11]) ).
fof(f568,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,inverse(X2))),X0))),multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(X5,inverse(X5)))))))),inverse(multiply(X6,inverse(X6)))) = X4,
inference(paramodulation,[status(thm)],[f363,f10]) ).
fof(f574,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2)))),multiply(X3,inverse(X3))),multiply(multiply(X4,inverse(X4)),X0)))) = inverse(multiply(X5,inverse(X5))),
inference(paramodulation,[status(thm)],[f363,f11]) ).
fof(f577,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(inverse(multiply(X1,inverse(X1)))),multiply(X2,X0)))) = inverse(X2),
inference(forward_demodulation,[status(thm)],[f470,f538]) ).
fof(f582,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X0))) = inverse(multiply(X1,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f289,f574]) ).
fof(f587,plain,
! [X0,X1,X2] : inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1))))) = inverse(multiply(X2,inverse(X2))),
inference(paramodulation,[status(thm)],[f243,f582]) ).
fof(f666,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(X2,inverse(X2)),X0))),X3)) = X3,
inference(paramodulation,[status(thm)],[f268,f12]) ).
fof(f799,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,inverse(X1))) = multiply(X0,multiply(X2,inverse(X2))),
inference(paramodulation,[status(thm)],[f13,f13]) ).
fof(f829,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : multiply(X0,inverse(multiply(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(X2)),multiply(X3,inverse(X3))),multiply(X4,inverse(X4))),multiply(multiply(X5,multiply(X6,inverse(X6))),X0)))) = multiply(inverse(multiply(X7,multiply(multiply(multiply(X8,inverse(X8)),inverse(multiply(X2,X7))),X5))),multiply(X9,inverse(X9))),
inference(paramodulation,[status(thm)],[f12,f13]) ).
fof(f884,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : multiply(X0,inverse(multiply(inverse(multiply(X1,multiply(X2,multiply(X3,inverse(X3))))),multiply(multiply(multiply(X4,inverse(X4)),inverse(X5)),X0)))) = inverse(multiply(multiply(X6,multiply(X7,inverse(X7))),multiply(multiply(multiply(multiply(X8,inverse(X8)),inverse(multiply(X2,X6))),multiply(X9,inverse(X9))),multiply(multiply(X10,inverse(X10)),inverse(multiply(X5,X1)))))),
inference(paramodulation,[status(thm)],[f13,f12]) ).
fof(f956,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2))))) = multiply(X0,multiply(X3,inverse(X3))),
inference(paramodulation,[status(thm)],[f243,f799]) ).
fof(f1240,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),inverse(multiply(X2,inverse(X2))))),inverse(multiply(inverse(X3),multiply(X4,inverse(X4))))) = X3,
inference(paramodulation,[status(thm)],[f587,f333]) ).
fof(f1344,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X0))),multiply(X1,inverse(X1))) = inverse(multiply(X2,inverse(X2))),
inference(paramodulation,[status(thm)],[f363,f666]) ).
fof(f1358,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))),multiply(X4,inverse(X4)))) = inverse(multiply(multiply(X2,multiply(X5,inverse(X5))),multiply(X3,multiply(multiply(X6,inverse(X6)),inverse(multiply(multiply(X7,inverse(X7)),X0)))))),
inference(paramodulation,[status(thm)],[f14,f666]) ).
fof(f1359,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,X1) = inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X1,X2))),multiply(multiply(X4,inverse(X4)),inverse(multiply(multiply(X5,inverse(X5)),X0)))))),
inference(paramodulation,[status(thm)],[f3,f666]) ).
fof(f1363,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X0))),multiply(multiply(X1,inverse(X1)),X2)) = X2,
inference(paramodulation,[status(thm)],[f363,f666]) ).
fof(f1399,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : multiply(inverse(multiply(multiply(X0,multiply(X1,inverse(X1))),multiply(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X0))),multiply(X4,inverse(X4))),multiply(X5,inverse(X5))))),multiply(multiply(multiply(X6,inverse(X6)),inverse(multiply(X3,multiply(X7,inverse(X7))))),X8)) = X8,
inference(paramodulation,[status(thm)],[f13,f666]) ).
fof(f1417,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X0))),inverse(inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(X2,inverse(X2)),inverse(X3))))))) = X3,
inference(paramodulation,[status(thm)],[f666,f333]) ).
fof(f1457,plain,
! [X0,X1,X2] : multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),inverse(multiply(inverse(X2),X1))) = X2,
inference(backward_demodulation,[status(thm)],[f1359,f533]) ).
fof(f1547,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(inverse(X0),multiply(X2,inverse(X2))))))) = X1,
inference(paramodulation,[status(thm)],[f333,f1457]) ).
fof(f1747,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(X0,inverse(X0)),inverse(multiply(inverse(multiply(X1,inverse(X1))),multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,multiply(X4,inverse(X4))),inverse(multiply(X5,inverse(X5))))))))) = X3,
inference(paramodulation,[status(thm)],[f1344,f47]) ).
fof(f1834,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,inverse(X0)),inverse(inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),inverse(multiply(X3,inverse(X3))))))) = X1,
inference(forward_demodulation,[status(thm)],[f1363,f1747]) ).
fof(f1842,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(X1)) = multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,inverse(X4)),X2))),multiply(multiply(X5,inverse(X5)),inverse(multiply(X1,inverse(X0)))))),
inference(paramodulation,[status(thm)],[f10,f1547]) ).
fof(f1843,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X0))),inverse(inverse(X1))) = X1,
inference(paramodulation,[status(thm)],[f577,f1547]) ).
fof(f1854,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(inverse(X1),inverse(inverse(multiply(multiply(X2,inverse(X2)),inverse(multiply(multiply(X3,inverse(X3)),inverse(X0))))))))) = X1,
inference(paramodulation,[status(thm)],[f666,f1547]) ).
fof(f1961,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X0))),inverse(inverse(multiply(X1,inverse(multiply(X2,inverse(X2))))))) = X1,
inference(backward_demodulation,[status(thm)],[f2085,f1417]) ).
fof(f1962,plain,
! [X0,X1,X2] : inverse(inverse(X0)) = multiply(multiply(X0,inverse(multiply(X1,inverse(X1)))),multiply(X2,inverse(X2))),
inference(backward_demodulation,[status(thm)],[f2085,f470]) ).
fof(f2033,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1))))),inverse(multiply(inverse(X2),multiply(X3,inverse(X3))))) = X2,
inference(backward_demodulation,[status(thm)],[f2085,f1240]) ).
fof(f2043,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,inverse(X1))) = multiply(X0,multiply(X2,inverse(X2))),
inference(backward_demodulation,[status(thm)],[f2085,f956]) ).
fof(f2059,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(X0),inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(X3,inverse(X3))))) = multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X1,X0))),multiply(X5,inverse(X5))),
inference(backward_demodulation,[status(thm)],[f2085,f536]) ).
fof(f2064,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X0))),inverse(multiply(inverse(X1),multiply(X2,inverse(X2))))) = X1,
inference(backward_demodulation,[status(thm)],[f2085,f512]) ).
fof(f2077,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(X3,X0)))) = multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X1,X3))),multiply(X5,inverse(X5))),
inference(backward_demodulation,[status(thm)],[f2085,f193]) ).
fof(f2085,plain,
! [X0,X1,X2] : multiply(X0,inverse(X1)) = multiply(multiply(X2,inverse(X2)),inverse(multiply(X1,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f666,f1842]) ).
fof(f2098,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(X1),inverse(inverse(multiply(X0,inverse(multiply(X2,inverse(X2))))))))) = X1,
inference(forward_demodulation,[status(thm)],[f2085,f1854]) ).
fof(f2177,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),inverse(inverse(multiply(X1,multiply(X2,inverse(X2)))))) = X1,
inference(backward_demodulation,[status(thm)],[f2191,f1834]) ).
fof(f2180,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,inverse(X2))),X0))),multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(X5,inverse(X5)))))))) = X4,
inference(backward_demodulation,[status(thm)],[f2191,f568]) ).
fof(f2183,plain,
! [X0,X1] : multiply(X0,inverse(multiply(inverse(X1),inverse(inverse(X0))))) = X1,
inference(backward_demodulation,[status(thm)],[f2191,f2098]) ).
fof(f2191,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,inverse(X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f1843,f1961]) ).
fof(f2196,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(X3,X0)))) = inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X1,X3))))),
inference(backward_demodulation,[status(thm)],[f2629,f14]) ).
fof(f2214,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(inverse(multiply(multiply(X0,multiply(X1,inverse(X1))),inverse(inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X0))),multiply(X4,inverse(X4))))))),multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(X3,multiply(X6,inverse(X6))))),X7)) = X7,
inference(backward_demodulation,[status(thm)],[f2629,f1399]) ).
fof(f2225,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : multiply(X0,inverse(multiply(inverse(inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(X2)),multiply(X3,inverse(X3))))),multiply(multiply(X4,multiply(X5,inverse(X5))),X0)))) = multiply(inverse(multiply(X6,multiply(multiply(multiply(X7,inverse(X7)),inverse(multiply(X2,X6))),X4))),multiply(X8,inverse(X8))),
inference(backward_demodulation,[status(thm)],[f2629,f829]) ).
fof(f2253,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(X0,inverse(multiply(inverse(inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X4))),multiply(X5,inverse(X5))))))),multiply(X6,X0)))) = inverse(multiply(multiply(X3,multiply(X7,inverse(X7))),multiply(X4,X6))),
inference(backward_demodulation,[status(thm)],[f2629,f44]) ).
fof(f2307,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,inverse(inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3)))))) = inverse(multiply(multiply(X2,multiply(X4,inverse(X4))),multiply(X3,multiply(multiply(X5,inverse(X5)),inverse(multiply(multiply(X6,inverse(X6)),X0)))))),
inference(backward_demodulation,[status(thm)],[f2629,f1358]) ).
fof(f2338,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : multiply(X0,inverse(multiply(inverse(multiply(X1,multiply(X2,multiply(X3,inverse(X3))))),multiply(multiply(multiply(X4,inverse(X4)),inverse(X5)),X0)))) = inverse(multiply(multiply(X6,multiply(X7,inverse(X7))),multiply(inverse(inverse(multiply(multiply(X8,inverse(X8)),inverse(multiply(X2,X6))))),multiply(multiply(X9,inverse(X9)),inverse(multiply(X5,X1)))))),
inference(backward_demodulation,[status(thm)],[f2629,f884]) ).
fof(f2629,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(X0,multiply(X1,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f2191,f1962]) ).
fof(f2753,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X0))),inverse(multiply(inverse(X1),multiply(X2,inverse(X2))))) = X1,
inference(forward_demodulation,[status(thm)],[f2085,f2033]) ).
fof(f2754,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X0))),inverse(inverse(inverse(inverse(X1))))) = X1,
inference(forward_demodulation,[status(thm)],[f2629,f2753]) ).
fof(f2819,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f1843,f2754]) ).
fof(f2837,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(X0,multiply(X1,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f2629,f2043]) ).
fof(f2838,plain,
! [X0,X1] : X0 = multiply(X0,multiply(X1,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f2819,f2837]) ).
fof(f2868,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),inverse(multiply(X1,multiply(X2,inverse(X2))))) = multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X1,X0))),multiply(X4,inverse(X4))),
inference(forward_demodulation,[status(thm)],[f2838,f2059]) ).
fof(f2869,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),inverse(X1)) = multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X1,X0))),multiply(X3,inverse(X3))),
inference(forward_demodulation,[status(thm)],[f2838,f2868]) ).
fof(f2921,plain,
! [X0,X1,X2] : multiply(inverse(X0),inverse(X1)) = multiply(multiply(X2,inverse(X2)),inverse(multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f2838,f2869]) ).
fof(f2933,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X0))),inverse(inverse(X1))) = X1,
inference(forward_demodulation,[status(thm)],[f2838,f2064]) ).
fof(f2940,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X0))),X1) = X1,
inference(forward_demodulation,[status(thm)],[f2819,f2933]) ).
fof(f2956,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X1,X2))),multiply(X4,inverse(X4))),
inference(forward_demodulation,[status(thm)],[f2838,f2077]) ).
fof(f2957,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = multiply(multiply(X3,inverse(X3)),inverse(multiply(X1,X2))),
inference(forward_demodulation,[status(thm)],[f2838,f2956]) ).
fof(f2967,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = multiply(inverse(X2),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f2921,f2957]) ).
fof(f2998,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),multiply(X1,multiply(X2,inverse(X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f2819,f2177]) ).
fof(f3004,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(forward_demodulation,[status(thm)],[f2838,f2998]) ).
fof(f3009,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(X0,multiply(multiply(inverse(X0),inverse(inverse(multiply(X1,inverse(X1))))),multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X4,inverse(X4)))))))) = X3,
inference(forward_demodulation,[status(thm)],[f2921,f2180]) ).
fof(f3010,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(X0,multiply(multiply(inverse(X0),multiply(X1,inverse(X1))),multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X4,inverse(X4)))))))) = X3,
inference(forward_demodulation,[status(thm)],[f2819,f3009]) ).
fof(f3011,plain,
! [X0,X1,X2,X3] : inverse(multiply(X0,multiply(inverse(X0),multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,inverse(X3)))))))) = X2,
inference(forward_demodulation,[status(thm)],[f2838,f3010]) ).
fof(f3012,plain,
! [X0,X1,X2] : inverse(multiply(X0,multiply(inverse(X0),multiply(inverse(multiply(X1,inverse(X1))),inverse(X2))))) = X2,
inference(forward_demodulation,[status(thm)],[f2921,f3011]) ).
fof(f3015,plain,
! [X0,X1] : inverse(multiply(X0,multiply(inverse(X0),inverse(X1)))) = X1,
inference(forward_demodulation,[status(thm)],[f2940,f3012]) ).
fof(f3021,plain,
! [X0,X1] : multiply(X0,inverse(multiply(inverse(X1),X0))) = X1,
inference(forward_demodulation,[status(thm)],[f2819,f2183]) ).
fof(f3050,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),inverse(multiply(X1,multiply(X2,inverse(X2))))) = inverse(inverse(multiply(multiply(X3,inverse(X3)),inverse(multiply(X1,X0))))),
inference(forward_demodulation,[status(thm)],[f2967,f2196]) ).
fof(f3051,plain,
! [X0,X1,X2] : multiply(inverse(X0),inverse(X1)) = inverse(inverse(multiply(multiply(X2,inverse(X2)),inverse(multiply(X1,X0))))),
inference(forward_demodulation,[status(thm)],[f2838,f3050]) ).
fof(f3052,plain,
! [X0,X1,X2] : multiply(inverse(X0),inverse(X1)) = multiply(multiply(X2,inverse(X2)),inverse(multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f2819,f3051]) ).
fof(f3061,plain,
! [X0,X1] : multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f3004,f3052]) ).
fof(f3158,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(X0,inverse(inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),multiply(X3,inverse(X3))))))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,multiply(X5,inverse(X5))))),X6)) = X6,
inference(forward_demodulation,[status(thm)],[f2838,f2214]) ).
fof(f3159,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),multiply(X3,inverse(X3))))),multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,multiply(X5,inverse(X5))))),X6)) = X6,
inference(forward_demodulation,[status(thm)],[f2819,f3158]) ).
fof(f3160,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(X0,multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))))),multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X2,multiply(X4,inverse(X4))))),X5)) = X5,
inference(forward_demodulation,[status(thm)],[f2838,f3159]) ).
fof(f3161,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,multiply(inverse(X0),inverse(X1)))),multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X1,multiply(X3,inverse(X3))))),X4)) = X4,
inference(forward_demodulation,[status(thm)],[f2921,f3160]) ).
fof(f3162,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X0,multiply(X2,inverse(X2))))),X3)) = X3,
inference(forward_demodulation,[status(thm)],[f3015,f3161]) ).
fof(f3163,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(inverse(multiply(X1,inverse(X1))),inverse(X0)),X2)) = X2,
inference(forward_demodulation,[status(thm)],[f2921,f3162]) ).
fof(f3164,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f2940,f3163]) ).
fof(f3247,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(inverse(multiply(X0,multiply(X1,inverse(X1)))),inverse(inverse(inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(X3)),multiply(X4,inverse(X4))))))) = multiply(inverse(multiply(X5,multiply(multiply(multiply(X6,inverse(X6)),inverse(multiply(X3,X5))),X0))),multiply(X7,inverse(X7))),
inference(forward_demodulation,[status(thm)],[f2967,f2225]) ).
fof(f3248,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : inverse(multiply(inverse(inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(X1)),multiply(X2,inverse(X2))))),multiply(X3,multiply(X4,inverse(X4))))) = multiply(inverse(multiply(X5,multiply(multiply(multiply(X6,inverse(X6)),inverse(multiply(X1,X5))),X3))),multiply(X7,inverse(X7))),
inference(forward_demodulation,[status(thm)],[f3061,f3247]) ).
fof(f3249,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(X1)),multiply(X2,inverse(X2))),multiply(X3,multiply(X4,inverse(X4))))) = multiply(inverse(multiply(X5,multiply(multiply(multiply(X6,inverse(X6)),inverse(multiply(X1,X5))),X3))),multiply(X7,inverse(X7))),
inference(forward_demodulation,[status(thm)],[f2819,f3248]) ).
fof(f3250,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(X1)),multiply(X2,multiply(X3,inverse(X3))))) = multiply(inverse(multiply(X4,multiply(multiply(multiply(X5,inverse(X5)),inverse(multiply(X1,X4))),X2))),multiply(X6,inverse(X6))),
inference(forward_demodulation,[status(thm)],[f2838,f3249]) ).
fof(f3251,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(inverse(X0),multiply(X1,multiply(X2,inverse(X2))))) = multiply(inverse(multiply(X3,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X0,X3))),X1))),multiply(X5,inverse(X5))),
inference(forward_demodulation,[status(thm)],[f3004,f3250]) ).
fof(f3252,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X0,X2))),X1))),multiply(X4,inverse(X4))),
inference(forward_demodulation,[status(thm)],[f2838,f3251]) ).
fof(f3253,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(X0),X1)) = inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X0,X2))),X1))),
inference(forward_demodulation,[status(thm)],[f2838,f3252]) ).
fof(f3254,plain,
! [X0,X1,X2] : inverse(multiply(inverse(X0),X1)) = inverse(multiply(X2,multiply(multiply(inverse(X2),inverse(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f2921,f3253]) ).
fof(f3256,plain,
! [X0,X1,X2] : inverse(multiply(inverse(X0),X1)) = inverse(multiply(X2,multiply(inverse(multiply(X0,X2)),X1))),
inference(forward_demodulation,[status(thm)],[f3061,f3254]) ).
fof(f3455,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(X0),inverse(inverse(inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X4))),multiply(X5,inverse(X5))))))))) = inverse(multiply(multiply(X3,multiply(X6,inverse(X6))),multiply(X4,X0))),
inference(forward_demodulation,[status(thm)],[f2967,f2253]) ).
fof(f3456,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(multiply(inverse(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))),multiply(X4,inverse(X4))))))),X5)) = inverse(multiply(multiply(X2,multiply(X6,inverse(X6))),multiply(X3,X5))),
inference(forward_demodulation,[status(thm)],[f3061,f3455]) ).
fof(f3457,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))),multiply(X4,inverse(X4))))),X5)) = inverse(multiply(multiply(X2,multiply(X6,inverse(X6))),multiply(X3,X5))),
inference(forward_demodulation,[status(thm)],[f2819,f3456]) ).
fof(f3458,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(multiply(inverse(multiply(X0,inverse(X0))),inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))))),X4)) = inverse(multiply(multiply(X2,multiply(X5,inverse(X5))),multiply(X3,X4))),
inference(forward_demodulation,[status(thm)],[f2921,f3457]) ).
fof(f3459,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2)))),X3)) = inverse(multiply(multiply(X1,multiply(X4,inverse(X4))),multiply(X2,X3))),
inference(forward_demodulation,[status(thm)],[f2940,f3458]) ).
fof(f3460,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(multiply(inverse(X0),inverse(X1))),X2)) = inverse(multiply(multiply(X1,multiply(X3,inverse(X3))),multiply(X0,X2))),
inference(forward_demodulation,[status(thm)],[f2921,f3459]) ).
fof(f3461,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(inverse(multiply(X0,X1))),X2)) = inverse(multiply(multiply(X0,multiply(X3,inverse(X3))),multiply(X1,X2))),
inference(forward_demodulation,[status(thm)],[f3061,f3460]) ).
fof(f3462,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(X0,X1),X2)) = inverse(multiply(multiply(X0,multiply(X3,inverse(X3))),multiply(X1,X2))),
inference(forward_demodulation,[status(thm)],[f2819,f3461]) ).
fof(f3467,plain,
! [X0,X1,X2] : inverse(multiply(multiply(X0,X1),X2)) = inverse(multiply(X0,multiply(X1,X2))),
inference(forward_demodulation,[status(thm)],[f2838,f3462]) ).
fof(f3942,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3)))) = inverse(multiply(multiply(X2,multiply(X4,inverse(X4))),multiply(X3,multiply(multiply(X5,inverse(X5)),inverse(multiply(multiply(X6,inverse(X6)),X0)))))),
inference(forward_demodulation,[status(thm)],[f2819,f2307]) ).
fof(f3943,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(inverse(X1),inverse(X2))) = inverse(multiply(multiply(X2,multiply(X3,inverse(X3))),multiply(X1,multiply(multiply(X4,inverse(X4)),inverse(multiply(multiply(X5,inverse(X5)),X0)))))),
inference(forward_demodulation,[status(thm)],[f2921,f3942]) ).
fof(f3944,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(X1,X2))) = inverse(multiply(multiply(X1,multiply(X3,inverse(X3))),multiply(X2,multiply(multiply(X4,inverse(X4)),inverse(multiply(multiply(X5,inverse(X5)),X0)))))),
inference(forward_demodulation,[status(thm)],[f3061,f3943]) ).
fof(f3945,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(X1,X2))) = inverse(multiply(X1,multiply(multiply(X3,inverse(X3)),multiply(X2,multiply(multiply(X4,inverse(X4)),inverse(multiply(multiply(X5,inverse(X5)),X0))))))),
inference(forward_demodulation,[status(thm)],[f3467,f3944]) ).
fof(f3946,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(X1,X2))) = inverse(multiply(X1,multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,inverse(X4)),X0)))))),
inference(forward_demodulation,[status(thm)],[f3004,f3945]) ).
fof(f3947,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,X2))) = inverse(multiply(X1,multiply(X2,multiply(inverse(X0),inverse(multiply(X3,inverse(X3))))))),
inference(forward_demodulation,[status(thm)],[f2921,f3946]) ).
fof(f3948,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,X2))) = inverse(multiply(X1,multiply(X2,inverse(multiply(multiply(X3,inverse(X3)),X0))))),
inference(forward_demodulation,[status(thm)],[f3061,f3947]) ).
fof(f3949,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,X2))) = inverse(multiply(X1,multiply(X2,inverse(multiply(X3,multiply(inverse(X3),X0)))))),
inference(forward_demodulation,[status(thm)],[f3467,f3948]) ).
fof(f3950,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(X1,X2))) = inverse(multiply(X1,multiply(X2,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f3164,f3949]) ).
fof(f4301,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : multiply(inverse(multiply(multiply(X0,inverse(X0)),inverse(X1))),inverse(inverse(multiply(X2,multiply(X3,multiply(X4,inverse(X4))))))) = inverse(multiply(multiply(X5,multiply(X6,inverse(X6))),multiply(inverse(inverse(multiply(multiply(X7,inverse(X7)),inverse(multiply(X3,X5))))),multiply(multiply(X8,inverse(X8)),inverse(multiply(X1,X2)))))),
inference(forward_demodulation,[status(thm)],[f2967,f2338]) ).
fof(f4302,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : inverse(multiply(inverse(multiply(X0,multiply(X1,multiply(X2,inverse(X2))))),multiply(multiply(X3,inverse(X3)),inverse(X4)))) = inverse(multiply(multiply(X5,multiply(X6,inverse(X6))),multiply(inverse(inverse(multiply(multiply(X7,inverse(X7)),inverse(multiply(X1,X5))))),multiply(multiply(X8,inverse(X8)),inverse(multiply(X4,X0)))))),
inference(forward_demodulation,[status(thm)],[f3061,f4301]) ).
fof(f4303,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : multiply(X0,inverse(multiply(inverse(multiply(X1,multiply(X2,multiply(X3,inverse(X3))))),multiply(X4,inverse(X4))))) = inverse(multiply(multiply(X5,multiply(X6,inverse(X6))),multiply(inverse(inverse(multiply(multiply(X7,inverse(X7)),inverse(multiply(X2,X5))))),multiply(multiply(X8,inverse(X8)),inverse(multiply(X0,X1)))))),
inference(forward_demodulation,[status(thm)],[f3950,f4302]) ).
fof(f4304,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : multiply(X0,multiply(X1,inverse(multiply(inverse(multiply(X2,multiply(X3,multiply(X4,inverse(X4))))),X1)))) = inverse(multiply(multiply(X5,multiply(X6,inverse(X6))),multiply(inverse(inverse(multiply(multiply(X7,inverse(X7)),inverse(multiply(X3,X5))))),multiply(multiply(X8,inverse(X8)),inverse(multiply(X0,X2)))))),
inference(forward_demodulation,[status(thm)],[f3950,f4303]) ).
fof(f4305,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(X0,multiply(X1,multiply(X2,multiply(X3,inverse(X3))))) = inverse(multiply(multiply(X4,multiply(X5,inverse(X5))),multiply(inverse(inverse(multiply(multiply(X6,inverse(X6)),inverse(multiply(X2,X4))))),multiply(multiply(X7,inverse(X7)),inverse(multiply(X0,X1)))))),
inference(forward_demodulation,[status(thm)],[f3021,f4304]) ).
fof(f4306,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,multiply(X1,X2)) = inverse(multiply(multiply(X3,multiply(X4,inverse(X4))),multiply(inverse(inverse(multiply(multiply(X5,inverse(X5)),inverse(multiply(X2,X3))))),multiply(multiply(X6,inverse(X6)),inverse(multiply(X0,X1)))))),
inference(forward_demodulation,[status(thm)],[f2838,f4305]) ).
fof(f4307,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,multiply(X1,X2)) = inverse(multiply(X3,multiply(multiply(X4,inverse(X4)),multiply(inverse(inverse(multiply(multiply(X5,inverse(X5)),inverse(multiply(X2,X3))))),multiply(multiply(X6,inverse(X6)),inverse(multiply(X0,X1))))))),
inference(forward_demodulation,[status(thm)],[f3467,f4306]) ).
fof(f4308,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(X1,X2)) = inverse(multiply(X3,multiply(inverse(inverse(multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,X3))))),multiply(multiply(X5,inverse(X5)),inverse(multiply(X0,X1)))))),
inference(forward_demodulation,[status(thm)],[f3004,f4307]) ).
fof(f4309,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(X1,X2)) = inverse(multiply(X3,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X2,X3))),multiply(multiply(X5,inverse(X5)),inverse(multiply(X0,X1)))))),
inference(forward_demodulation,[status(thm)],[f2819,f4308]) ).
fof(f4310,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,X2)) = inverse(multiply(X3,multiply(multiply(inverse(X3),inverse(X2)),multiply(multiply(X4,inverse(X4)),inverse(multiply(X0,X1)))))),
inference(forward_demodulation,[status(thm)],[f2921,f4309]) ).
fof(f4311,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,X2)) = inverse(multiply(X3,multiply(inverse(multiply(X2,X3)),multiply(multiply(X4,inverse(X4)),inverse(multiply(X0,X1)))))),
inference(forward_demodulation,[status(thm)],[f3061,f4310]) ).
fof(f4312,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = inverse(multiply(inverse(X2),multiply(multiply(X3,inverse(X3)),inverse(multiply(X0,X1))))),
inference(forward_demodulation,[status(thm)],[f3256,f4311]) ).
fof(f4313,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),inverse(multiply(inverse(X2),multiply(X3,inverse(X3))))),
inference(forward_demodulation,[status(thm)],[f3950,f4312]) ).
fof(f4314,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),multiply(X3,inverse(multiply(inverse(X2),X3)))),
inference(forward_demodulation,[status(thm)],[f3950,f4313]) ).
fof(f4315,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f4327,f4]) ).
fof(f4327,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f3021,f4314]) ).
fof(f8106,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f4315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP432-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n018.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sun Sep 20 20:15:03 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.37 % Drodi V4.1.1
% 23.27/8.43 % Refutation found
% 23.27/8.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 23.27/8.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 13.93/11.24 % Elapsed time: 5.874418 seconds
% 13.93/11.24 % CPU time: 39.617742 seconds
% 13.93/11.24 % Total memory used: 13.288 GB
% 13.93/11.24 % Net memory used: 13.284 GB
%------------------------------------------------------------------------------