Vampire---5.0.1.UNS-Ref.s

View TPTP
Problem Process solution in
SystemOnTSTP Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GRP505-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 : Tue Sep 29 10:14:10 AM UTC 2026

% Result   : Unsatisfiable 29.56s 5.83s
% Output   : Refutation 34.90s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(multiply(X4,inverse(X5)),inverse(X3))))))),X5) = X4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

fof(f2,negated_conjecture,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).

fof(f3,definition,
    sF0 = inverse(a1),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f4,plain,
    inverse(a1) = sF0,
    inference(reorient_equations,[],[f3]) ).

fof(f5,definition,
    sF1 = multiply(sF0,a1),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f6,plain,
    multiply(sF0,a1) = sF1,
    inference(reorient_equations,[],[f5]) ).

fof(f7,definition,
    sF2 = inverse(b1),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f8,plain,
    inverse(b1) = sF2,
    inference(reorient_equations,[],[f7]) ).

fof(f9,definition,
    sF3 = multiply(sF2,b1),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f10,plain,
    multiply(sF2,b1) = sF3,
    inference(reorient_equations,[],[f9]) ).

fof(f11,plain,
    sF1 != sF3,
    inference(definition_folding,[],[f2,f10,f8,f6,f4]) ).

fof(f12,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(multiply(X2,inverse(X3)),inverse(X1))))))),X3) = X2,
    inference(superposition,[],[f1,f6]) ).

fof(f13,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF3),multiply(b1,sF2))),multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(multiply(X2,inverse(X3)),inverse(X1))))))),X3) = X2,
    inference(superposition,[],[f1,f10]) ).

fof(f15,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(a1,sF0)),sF1)),multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(multiply(X2,inverse(X3)),inverse(X1))))))),X3) = X2,
    inference(superposition,[],[f1,f6]) ).

fof(f16,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(b1,sF2)),sF3)),multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(multiply(X2,inverse(X3)),inverse(X1))))))),X3) = X2,
    inference(superposition,[],[f1,f10]) ).

fof(f18,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X2,inverse(X3)),inverse(a1))))))),X3) = X2,
    inference(superposition,[],[f1,f6]) ).

fof(f20,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(X5,X6)),multiply(X5,inverse(multiply(multiply(X0,inverse(X7)),inverse(X6))))))),inverse(multiply(multiply(X8,inverse(X9)),inverse(X7))))))),X9) = X8,
    inference(superposition,[],[f1,f1]) ).

fof(f23,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X5,X6)),multiply(X6,X5))),multiply(inverse(multiply(X7,X8)),multiply(X7,inverse(multiply(multiply(X0,inverse(inverse(X9))),inverse(X8))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X0,inverse(X4))))))),X9),
    inference(superposition,[],[f1,f1]) ).

fof(f24,plain,
    ! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,b1)),multiply(X2,inverse(multiply(multiply(X3,inverse(X4)),sF2)))))),X4) = X3,
    inference(superposition,[],[f1,f8]) ).

fof(f26,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(X5,X6)),multiply(X5,inverse(multiply(multiply(X0,inverse(inverse(multiply(multiply(X7,inverse(X8)),inverse(X9))))),inverse(X6))))))),X9)),X0))),X8) = X7,
    inference(superposition,[],[f1,f1]) ).

fof(f28,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X2,inverse(X3)),sF0)))))),X3) = X2,
    inference(forward_demodulation,[],[f18,f4]) ).

fof(f29,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(X1)),sF0)))))),X1) = X0,
    inference(superposition,[],[f28,f6]) ).

fof(f123,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X5,X4))),multiply(inverse(multiply(X6,X7)),multiply(X6,inverse(multiply(multiply(X8,inverse(inverse(multiply(multiply(X0,inverse(X1)),inverse(X9))))),inverse(X7))))))),X9)),X8))))),X0)),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X10,inverse(X11)),sF0)))))),X11) = X10,
    inference(superposition,[],[f28,f26]) ).

fof(f275,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] : inverse(multiply(inverse(multiply(inverse(multiply(X9,X10)),multiply(X10,X9))),multiply(inverse(multiply(X11,X12)),multiply(X11,inverse(multiply(multiply(X13,inverse(inverse(X14))),inverse(X12))))))) = multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(multiply(X4,inverse(inverse(multiply(multiply(inverse(multiply(X5,X6)),multiply(X5,inverse(multiply(X4,inverse(X6))))),inverse(multiply(inverse(multiply(X7,X8)),multiply(X8,X7))))))),inverse(X3)))))))),multiply(inverse(multiply(X15,X16)),multiply(X15,inverse(multiply(X13,inverse(X16))))))),X14),
    inference(superposition,[],[f23,f23]) ).

fof(f306,plain,
    ! [X2,X3,X0,X1,X4,X5] : multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(X4,inverse(X3))))))),X5),inverse(X5)) = X4,
    inference(superposition,[],[f1,f23]) ).

fof(f422,plain,
    ! [X2,X3,X10,X0,X1,X4,X5] : multiply(X4,inverse(inverse(X5))) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(X4,inverse(X3))))))),X5),X10),inverse(X10)),
    inference(superposition,[],[f306,f23]) ).

fof(f425,plain,
    ! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(X4,inverse(X3))))))),a1),sF0) = X4,
    inference(superposition,[],[f306,f4]) ).

fof(f429,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : inverse(multiply(inverse(multiply(inverse(multiply(X8,X9)),multiply(X9,X8))),multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(X0,inverse(X11))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(X5,X6)),multiply(X5,inverse(multiply(multiply(X7,inverse(inverse(X0))),inverse(X6))))))),inverse(X12))),X7))),X12),
    inference(superposition,[],[f26,f306]) ).

fof(f457,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] : inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,inverse(inverse(X6))),inverse(X4))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X8)),multiply(X8,X7))),multiply(inverse(X0),multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X9,X10)),multiply(X10,X9))),multiply(inverse(multiply(X11,X12)),multiply(X11,inverse(multiply(X0,inverse(X12))))))),X13),inverse(multiply(X5,inverse(inverse(X13)))))))),X6),
    inference(superposition,[],[f23,f306]) ).

fof(f710,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(X5,X6)),multiply(X5,inverse(multiply(X0,inverse(X6))))))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X0))))),X2),
    inference(superposition,[],[f12,f306]) ).

fof(f911,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(sF2,multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(multiply(multiply(b1,inverse(X6)),inverse(X5))))))),inverse(multiply(multiply(X7,inverse(X8)),inverse(X6))))))),X8) = X7,
    inference(superposition,[],[f20,f8]) ).

fof(f1318,plain,
    ! [X0] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,sF2),sF0)))))),b1) = X0,
    inference(superposition,[],[f29,f8]) ).

fof(f1326,plain,
    ! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X0,inverse(inverse(X5))),inverse(X4))))))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X5),
    inference(superposition,[],[f29,f1]) ).

fof(f1328,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X6,X7)),multiply(X7,X6))),multiply(inverse(multiply(X8,X9)),multiply(X8,inverse(multiply(X4,inverse(X9))))))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(multiply(X4,inverse(inverse(inverse(X5)))),inverse(X3))))))),sF0)))))),X5),
    inference(superposition,[],[f29,f23]) ).

fof(f1332,plain,
    ! [X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(inverse(X1))),sF0)))))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),
    inference(superposition,[],[f29,f29]) ).

fof(f1374,plain,
    ! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(X0,inverse(X4))))))),X5) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(inverse(X5))),sF0)))))),
    inference(superposition,[],[f1,f29]) ).

fof(f1375,plain,
    ! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(inverse(X3))),sF0)))))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(X0,inverse(X2))))))),X3),
    inference(superposition,[],[f12,f29]) ).

fof(f1376,plain,
    ! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(inverse(X3))),sF0)))))) = multiply(inverse(multiply(inverse(multiply(inverse(sF3),multiply(b1,sF2))),multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(X0,inverse(X2))))))),X3),
    inference(superposition,[],[f13,f29]) ).

fof(f1379,plain,
    ! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(inverse(X3))),sF0)))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(a1,sF0)),sF1)),multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(X0,inverse(X2))))))),X3),
    inference(superposition,[],[f15,f29]) ).

fof(f1380,plain,
    ! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(inverse(X3))),sF0)))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(b1,sF2)),sF3)),multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(X0,inverse(X2))))))),X3),
    inference(superposition,[],[f16,f29]) ).

fof(f1383,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(inverse(X5))),sF0)))))),inverse(inverse(X6))),inverse(X4))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X8)),multiply(X8,X7))),multiply(inverse(multiply(X9,X5)),multiply(X9,inverse(X0))))),X6),
    inference(superposition,[],[f23,f29]) ).

fof(f1384,plain,
    ! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(inverse(X4))),sF0)))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,b1)),multiply(X3,inverse(multiply(X0,sF2)))))),X4),
    inference(superposition,[],[f24,f29]) ).

fof(f1389,plain,
    ! [X2,X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(inverse(X4))),sF0)))))) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(X0))))),X5),inverse(X5)),
    inference(superposition,[],[f306,f29]) ).

fof(f1943,plain,
    ! [X10,X4,X5] : multiply(X4,inverse(inverse(X5))) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X4,inverse(inverse(X5))),sF0)))))),X10),inverse(X10)),
    inference(backward_demodulation,[],[f422,f1374]) ).

fof(f1957,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5,X13] : inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,inverse(inverse(X6))),inverse(X4))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X8)),multiply(X8,X7))),multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(inverse(X13))),sF0)))))),inverse(multiply(X5,inverse(inverse(X13)))))))),X6),
    inference(backward_demodulation,[],[f457,f1374]) ).

fof(f2069,plain,
    ! [X4] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X4,inverse(inverse(a1))),sF0)))))),sF0) = X4,
    inference(backward_demodulation,[],[f425,f1374]) ).

fof(f2095,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X9] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(X8,inverse(inverse(multiply(multiply(X0,inverse(X1)),inverse(X9))))),inverse(inverse(X9))),sF0))))))),X8))))),X0)),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X10,inverse(X11)),sF0)))))),X11) = X10,
    inference(backward_demodulation,[],[f123,f1374]) ).

fof(f2136,plain,
    ! [X2,X10,X0,X11,X1,X8,X9,X7,X12] : inverse(multiply(inverse(multiply(inverse(multiply(X8,X9)),multiply(X9,X8))),multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(X0,inverse(X11))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(X7,inverse(inverse(X0))),inverse(inverse(inverse(X12)))),sF0))))))),X7))),X12),
    inference(backward_demodulation,[],[f429,f1374]) ).

fof(f2198,plain,
    ! [X0,X1,X8,X6,X7] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(sF2,inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(b1,inverse(X6)),inverse(inverse(inverse(multiply(multiply(X7,inverse(X8)),inverse(X6)))))),sF0))))))))),X8) = X7,
    inference(backward_demodulation,[],[f911,f1374]) ).

fof(f2223,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X3) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(X0,inverse(X2))))))),X3),
    inference(backward_demodulation,[],[f1375,f1332]) ).

fof(f2224,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X3) = multiply(inverse(multiply(inverse(multiply(inverse(sF3),multiply(b1,sF2))),multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(X0,inverse(X2))))))),X3),
    inference(backward_demodulation,[],[f1376,f1332]) ).

fof(f2227,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X3) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(a1,sF0)),sF1)),multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(X0,inverse(X2))))))),X3),
    inference(backward_demodulation,[],[f1379,f1332]) ).

fof(f2228,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X3) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(b1,sF2)),sF3)),multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(X0,inverse(X2))))))),X3),
    inference(backward_demodulation,[],[f1380,f1332]) ).

fof(f2229,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X8)),multiply(X8,X7))),multiply(inverse(multiply(X9,X5)),multiply(X9,inverse(X0))))),X6) = inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X5),inverse(inverse(X6))),inverse(X4))))))),
    inference(backward_demodulation,[],[f1383,f1332]) ).

fof(f2230,plain,
    ! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X4) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,b1)),multiply(X3,inverse(multiply(X0,sF2)))))),X4),
    inference(backward_demodulation,[],[f1384,f1332]) ).

fof(f2234,plain,
    ! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X4) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(X0))))),X5),inverse(X5)),
    inference(backward_demodulation,[],[f1389,f1332]) ).

fof(f2254,plain,
    ! [X10,X11,X8,X6,X9,X7,X14,X4,X16,X15,X5,X12,X13] : inverse(multiply(inverse(multiply(inverse(multiply(X9,X10)),multiply(X10,X9))),multiply(inverse(multiply(X11,X12)),multiply(X11,inverse(multiply(multiply(X13,inverse(inverse(X14))),inverse(X12))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X4,sF0)))))),multiply(multiply(inverse(multiply(X5,X6)),multiply(X5,inverse(multiply(X4,inverse(X6))))),inverse(multiply(inverse(multiply(X7,X8)),multiply(X8,X7)))))),multiply(inverse(multiply(X15,X16)),multiply(X15,inverse(multiply(X13,inverse(X16))))))),X14),
    inference(backward_demodulation,[],[f275,f1326]) ).

fof(f2327,plain,
    ! [X8,X6,X9,X7,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X6,X7)),multiply(X7,X6))),multiply(inverse(multiply(X8,X9)),multiply(X8,inverse(multiply(X4,inverse(X9))))))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X4,sF0)))))),inverse(X5)),sF0)))))),X5),
    inference(backward_demodulation,[],[f1328,f1326]) ).

fof(f2830,plain,
    ! [X0,X1,X8,X6,X7] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(sF2,multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(b1,inverse(X6)),sF0)))))),inverse(multiply(multiply(X7,inverse(X8)),inverse(X6))))))),X8) = X7,
    inference(forward_demodulation,[],[f2198,f1332]) ).

fof(f2892,plain,
    ! [X2,X10,X0,X11,X1,X8,X9,X7,X12] : inverse(multiply(inverse(multiply(inverse(multiply(X8,X9)),multiply(X9,X8))),multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(X0,inverse(X11))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X7,inverse(inverse(X0))),sF0)))))),inverse(X12))),X7))),X12),
    inference(forward_demodulation,[],[f2136,f1332]) ).

fof(f2933,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X9] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X8,inverse(inverse(multiply(multiply(X0,inverse(X1)),inverse(X9))))),sF0)))))),X9)),X8))))),X0)),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X10,inverse(X11)),sF0)))))),X11) = X10,
    inference(forward_demodulation,[],[f2095,f1332]) ).

fof(f2959,plain,
    ! [X4] : multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X4,sF0)))))),a1),sF0) = X4,
    inference(forward_demodulation,[],[f2069,f1332]) ).

fof(f3053,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5,X13] : inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(multiply(multiply(X5,inverse(inverse(X6))),inverse(X4))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X8)),multiply(X8,X7))),multiply(inverse(X0),multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X13),inverse(multiply(X5,inverse(inverse(X13)))))))),X6),
    inference(forward_demodulation,[],[f1957,f1332]) ).

fof(f3061,plain,
    ! [X10,X4,X5] : multiply(X4,inverse(inverse(X5))) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X4,sF0)))))),X5),X10),inverse(X10)),
    inference(forward_demodulation,[],[f1943,f1332]) ).

fof(f3173,plain,
    ! [X0,X8,X6,X9,X7,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X8)),multiply(X8,X7))),multiply(inverse(multiply(X9,X5)),multiply(X9,inverse(X0))))),X6) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X5),sF0)))))),X6),
    inference(forward_demodulation,[],[f2229,f1326]) ).

fof(f3177,plain,
    ! [X8,X6,X9,X7,X4] : inverse(multiply(inverse(multiply(inverse(multiply(X6,X7)),multiply(X7,X6))),multiply(inverse(multiply(X8,X9)),multiply(X8,inverse(multiply(X4,inverse(X9))))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X4,sF0)))))),
    inference(forward_demodulation,[],[f2327,f29]) ).

fof(f3275,plain,
    ! [X8,X6,X7,X16,X4,X14,X15,X5,X13] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X4,sF0)))))),multiply(multiply(inverse(multiply(X5,X6)),multiply(X5,inverse(multiply(X4,inverse(X6))))),inverse(multiply(inverse(multiply(X7,X8)),multiply(X8,X7)))))),multiply(inverse(multiply(X15,X16)),multiply(X15,inverse(multiply(X13,inverse(X16))))))),X14) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X13,sF0)))))),X14),
    inference(forward_demodulation,[],[f2254,f1326]) ).

fof(f3537,plain,
    ! [X2,X10,X0,X11,X1,X8,X9,X7,X12] : inverse(multiply(inverse(multiply(inverse(multiply(X8,X9)),multiply(X9,X8))),multiply(inverse(multiply(X10,X11)),multiply(X10,inverse(multiply(X0,inverse(X11))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X7,sF0)))))),X0),inverse(X12))),X7))),X12),
    inference(forward_demodulation,[],[f2892,f1332]) ).

fof(f3578,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X9] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X8,sF0)))))),multiply(multiply(X0,inverse(X1)),inverse(X9))),X9)),X8))))),X0)),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X10,inverse(X11)),sF0)))))),X11) = X10,
    inference(forward_demodulation,[],[f2933,f1332]) ).

fof(f3657,plain,
    ! [X0,X8,X6,X7,X5,X13] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X5,sF0)))))),X6) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X7,X8)),multiply(X8,X7))),multiply(inverse(X0),multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X13),inverse(multiply(X5,inverse(inverse(X13)))))))),X6),
    inference(forward_demodulation,[],[f3053,f1326]) ).

fof(f3721,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X0))))),X2) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),
    inference(backward_demodulation,[],[f710,f3177]) ).

fof(f3994,plain,
    ! [X2,X0,X1,X7,X12] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X7,sF0)))))),X0),inverse(X12))),X7))),X12),
    inference(forward_demodulation,[],[f3537,f3177]) ).

fof(f4358,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,inverse(X1)),inverse(inverse(X1))) = multiply(multiply(X0,X2),inverse(X2)),
    inference(superposition,[],[f3061,f29]) ).

fof(f4360,plain,
    ! [X0,X1] : multiply(X0,inverse(inverse(X1))) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),a1),sF0),
    inference(superposition,[],[f3061,f4]) ).

fof(f4363,plain,
    ! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(inverse(X1))),inverse(inverse(X2))) = multiply(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),X2),X3),inverse(X3)),
    inference(superposition,[],[f4358,f3061]) ).

fof(f4370,plain,
    ! [X3,X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = multiply(multiply(X0,X3),inverse(X3)),
    inference(superposition,[],[f4358,f4358]) ).

fof(f4374,plain,
    ! [X2,X3,X0,X1] : multiply(multiply(multiply(X0,inverse(X1)),inverse(inverse(X1))),inverse(inverse(X2))) = multiply(multiply(multiply(X0,X2),inverse(X3)),inverse(inverse(X3))),
    inference(superposition,[],[f4358,f4358]) ).

fof(f4408,plain,
    ! [X0] : multiply(multiply(sF2,X0),inverse(X0)) = multiply(sF3,inverse(b1)),
    inference(superposition,[],[f4370,f10]) ).

fof(f4409,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = multiply(multiply(X0,b1),sF2),
    inference(superposition,[],[f4370,f8]) ).

fof(f4410,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = multiply(multiply(X0,a1),sF0),
    inference(superposition,[],[f4370,f4]) ).

fof(f4438,plain,
    ! [X2,X3,X0] : multiply(multiply(multiply(X0,X2),inverse(X3)),inverse(inverse(X3))) = multiply(multiply(multiply(X0,a1),sF0),inverse(inverse(X2))),
    inference(backward_demodulation,[],[f4374,f4410]) ).

fof(f4441,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,inverse(inverse(X1))),inverse(inverse(X2))) = multiply(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),X2),a1),sF0),
    inference(backward_demodulation,[],[f4363,f4410]) ).

fof(f4443,plain,
    ! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X4) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(X0))))),a1),sF0),
    inference(backward_demodulation,[],[f2234,f4410]) ).

fof(f4444,plain,
    ! [X0] : multiply(multiply(X0,b1),sF2) = multiply(multiply(X0,a1),sF0),
    inference(forward_demodulation,[],[f4409,f4410]) ).

fof(f4445,plain,
    ! [X0] : multiply(multiply(sF2,X0),inverse(X0)) = multiply(sF3,sF2),
    inference(forward_demodulation,[],[f4408,f8]) ).

fof(f4467,plain,
    ! [X2,X0] : multiply(multiply(multiply(X0,a1),sF0),inverse(inverse(X2))) = multiply(multiply(multiply(X0,X2),a1),sF0),
    inference(forward_demodulation,[],[f4438,f4410]) ).

fof(f4475,plain,
    multiply(sF3,sF2) = multiply(multiply(sF2,a1),sF0),
    inference(forward_demodulation,[],[f4445,f4410]) ).

fof(f4491,plain,
    ! [X0] : multiply(multiply(multiply(X0,b1),a1),sF0) = multiply(multiply(multiply(X0,a1),sF0),inverse(sF2)),
    inference(superposition,[],[f4410,f4444]) ).

fof(f4500,plain,
    ! [X0] : multiply(multiply(multiply(sF0,X0),a1),sF0) = multiply(multiply(sF1,sF0),inverse(inverse(X0))),
    inference(superposition,[],[f4467,f6]) ).

fof(f4511,plain,
    ! [X0] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),a1) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(X0))))),a1),sF0),
    inference(superposition,[],[f2959,f2959]) ).

fof(f4519,plain,
    ! [X4] : multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(X4))))),a1),sF0),sF0) = X4,
    inference(backward_demodulation,[],[f2959,f4511]) ).

fof(f4799,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X5,X4))),multiply(sF2,multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(b1,inverse(X6)),sF0)))))),inverse(multiply(multiply(X0,inverse(inverse(X7))),inverse(X6))))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(sF2,multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(b1,inverse(X3)),sF0)))))),inverse(multiply(X0,inverse(X3))))))),X7),
    inference(superposition,[],[f2830,f2830]) ).

fof(f4806,plain,
    ! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X4) = inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(sF2,multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(b1,inverse(X3)),sF0)))))),inverse(multiply(multiply(X0,inverse(inverse(X4))),inverse(X3))))))),
    inference(superposition,[],[f29,f2830]) ).

fof(f4813,plain,
    ! [X2,X3,X0,X1,X7] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X7) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(sF2,multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(b1,inverse(X3)),sF0)))))),inverse(multiply(X0,inverse(X3))))))),X7),
    inference(forward_demodulation,[],[f4799,f4806]) ).

fof(f5060,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(X1)),sF0)))))),X1) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(X0,a1),sF0),sF0)))))),
    inference(superposition,[],[f1332,f4410]) ).

fof(f5074,plain,
    ! [X0] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(X0,a1),sF0),sF0)))))) = X0,
    inference(forward_demodulation,[],[f5060,f29]) ).

fof(f5101,plain,
    b1 = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,sF2)))),a1),sF0),sF0),
    inference(superposition,[],[f4519,f8]) ).

fof(f5102,plain,
    a1 = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,sF0)))),a1),sF0),sF0),
    inference(superposition,[],[f4519,f4]) ).

fof(f5159,plain,
    ! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(b1,sF0)))))),X3),sF0)))))),X4) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,X3)),multiply(X2,sF2)))),X4),
    inference(superposition,[],[f3173,f8]) ).

fof(f5165,plain,
    ! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))))),X4),sF0)))))),X5) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(inverse(X3))),sF0)))))),X4)),X0))),X5),
    inference(superposition,[],[f3173,f29]) ).

fof(f5194,plain,
    ! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X4,sF0)))))),X3),sF0)))))),sF0)))))),X5) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4))))),inverse(inverse(X5))),sF0)))))),
    inference(superposition,[],[f1332,f3173]) ).

fof(f5201,plain,
    ! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X4,sF0)))))),X3),sF0)))))),sF0)))))),X5) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X1,X0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4))))),sF0)))))),X5),
    inference(forward_demodulation,[],[f5194,f1332]) ).

fof(f5211,plain,
    ! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))))),X4),sF0)))))),X5) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X3),X4)),X0))),X5),
    inference(forward_demodulation,[],[f5165,f1332]) ).

fof(f5532,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),inverse(X1)),sF0)))))),X1) = inverse(multiply(inverse(multiply(inverse(multiply(b1,sF2)),sF3)),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(X0,inverse(X3))))))),
    inference(superposition,[],[f29,f2228]) ).

fof(f5544,plain,
    ! [X2,X3,X0] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))) = inverse(multiply(inverse(multiply(inverse(multiply(b1,sF2)),sF3)),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(X0,inverse(X3))))))),
    inference(forward_demodulation,[],[f5532,f29]) ).

fof(f5629,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(X5,X1)),multiply(X5,inverse(X0))))),sF0)))))) = inverse(multiply(inverse(multiply(inverse(multiply(b1,sF2)),sF3)),multiply(inverse(multiply(X6,X2)),multiply(X6,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),sF0)))))),inverse(X2))))))),
    inference(superposition,[],[f5544,f3173]) ).

fof(f5648,plain,
    ! [X3,X0,X1,X4,X5] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),sF0)))))),sF0)))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(X5,X1)),multiply(X5,inverse(X0))))),sF0)))))),
    inference(forward_demodulation,[],[f5629,f5544]) ).

fof(f5812,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),inverse(X1)),sF0)))))),X1) = inverse(multiply(inverse(multiply(inverse(multiply(a1,sF0)),sF1)),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(X0,inverse(X3))))))),
    inference(superposition,[],[f29,f2227]) ).

fof(f5824,plain,
    ! [X2,X3,X0] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))) = inverse(multiply(inverse(multiply(inverse(multiply(a1,sF0)),sF1)),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(X0,inverse(X3))))))),
    inference(forward_demodulation,[],[f5812,f29]) ).

fof(f5905,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(inverse(X1))),sF0)))))),sF0)))))) = inverse(multiply(inverse(multiply(inverse(multiply(a1,sF0)),sF1)),multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))))),
    inference(superposition,[],[f5824,f29]) ).

fof(f5928,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),sF0)))))) = inverse(multiply(inverse(multiply(inverse(multiply(a1,sF0)),sF1)),multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))))),
    inference(forward_demodulation,[],[f5905,f1332]) ).

fof(f6127,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),inverse(X1)),sF0)))))),X1) = inverse(multiply(inverse(multiply(inverse(sF3),multiply(b1,sF2))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(X0,inverse(X3))))))),
    inference(superposition,[],[f29,f2224]) ).

fof(f6145,plain,
    ! [X2,X3,X0] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))) = inverse(multiply(inverse(multiply(inverse(sF3),multiply(b1,sF2))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(X0,inverse(X3))))))),
    inference(forward_demodulation,[],[f6127,f29]) ).

fof(f6238,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(inverse(X1))),sF0)))))),sF0)))))) = inverse(multiply(inverse(multiply(inverse(sF3),multiply(b1,sF2))),multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))))),
    inference(superposition,[],[f6145,f29]) ).

fof(f6263,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),sF0)))))) = inverse(multiply(inverse(multiply(inverse(sF3),multiply(b1,sF2))),multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))))),
    inference(forward_demodulation,[],[f6238,f1332]) ).

fof(f6412,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),inverse(X1)),sF0)))))),X1) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(X0,inverse(X3))))))),
    inference(superposition,[],[f29,f2223]) ).

fof(f6433,plain,
    ! [X2,X3,X0] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(multiply(X0,inverse(X3))))))),
    inference(forward_demodulation,[],[f6412,f29]) ).

fof(f6530,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(inverse(X1))),sF0)))))),sF0)))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))))),
    inference(superposition,[],[f6433,f29]) ).

fof(f6546,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(X0,inverse(X2)))))) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))))))),a1),sF0),sF0),
    inference(superposition,[],[f4519,f6433]) ).

fof(f6550,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(X0,inverse(X2)))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0))))),
    inference(forward_demodulation,[],[f6546,f4519]) ).

fof(f6556,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),sF0)))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))))),
    inference(forward_demodulation,[],[f6530,f1332]) ).

fof(f6598,plain,
    ! [X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(a1,sF0)))))),X0),sF0)))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X1,X0)),multiply(X1,sF0)))),
    inference(superposition,[],[f6556,f4]) ).

fof(f6609,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X1,sF0)))))),X2),sF0)))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(X0,X1),X2)),multiply(multiply(X0,a1),sF0)))),
    inference(superposition,[],[f6556,f4410]) ).

fof(f6611,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X1,sF0)))))),X2),sF0)))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(inverse(X1))),sF0)))))),X2)),X0))),
    inference(superposition,[],[f6556,f29]) ).

fof(f6621,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(X5,X1)),multiply(X5,inverse(X2))))),X6) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2))))),X6),
    inference(superposition,[],[f3173,f6556]) ).

fof(f6657,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X1,sF0)))))),X2),sF0)))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),X2)),X0))),
    inference(forward_demodulation,[],[f6611,f1332]) ).

fof(f6844,plain,
    ! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))))),multiply(inverse(multiply(X4,b1)),multiply(X4,inverse(multiply(X0,sF2))))),sF0)))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),inverse(X3))))),
    inference(superposition,[],[f6556,f2230]) ).

fof(f6858,plain,
    ! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),inverse(X1)),sF0)))))),X1) = inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(multiply(X4,b1)),multiply(X4,inverse(multiply(X0,sF2)))))),
    inference(superposition,[],[f29,f2230]) ).

fof(f6884,plain,
    ! [X2,X3,X0,X4] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))) = inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),multiply(inverse(multiply(X4,b1)),multiply(X4,inverse(multiply(X0,sF2)))))),
    inference(forward_demodulation,[],[f6858,f29]) ).

fof(f7094,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,b1)),multiply(X3,inverse(multiply(X0,sF2))))) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))))))),a1),sF0),sF0),
    inference(superposition,[],[f4519,f6884]) ).

fof(f7102,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),multiply(inverse(multiply(X3,b1)),multiply(X3,inverse(multiply(X0,sF2))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0))))),
    inference(forward_demodulation,[],[f7094,f4519]) ).

fof(f7676,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X11,sF0)))))),X12) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))))),multiply(multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(multiply(X3,inverse(X5))))),inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X6,X7)),multiply(X7,X6))),multiply(inverse(multiply(X8,X1)),multiply(X8,inverse(X0))))))),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),sF0)))))),X2)))))),multiply(inverse(multiply(X9,X10)),multiply(X9,inverse(multiply(X11,inverse(X10))))))),X12),
    inference(superposition,[],[f3275,f3173]) ).

fof(f8240,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X1,sF0)))))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X5,sF0)))))),multiply(multiply(X6,inverse(X2)),inverse(X7))),X7)),X5))))),X6)),inverse(X1)))),sF0))))),sF0)))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0)),
    inference(superposition,[],[f6556,f3578]) ).

fof(f8241,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X1,sF0)))))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X5,sF0)))))),multiply(multiply(X6,inverse(X2)),inverse(X7))),X7)),X5))))),X6)),inverse(X1)))),sF0))))),sF0)))))) = inverse(multiply(inverse(multiply(inverse(sF3),multiply(b1,sF2))),X0)),
    inference(superposition,[],[f6263,f3578]) ).

fof(f8243,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X1,sF0)))))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),multiply(X4,X3))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X5,sF0)))))),multiply(multiply(X6,inverse(X2)),inverse(X7))),X7)),X5))))),X6)),inverse(X1)))),sF0))))),sF0)))))) = inverse(multiply(inverse(multiply(inverse(multiply(a1,sF0)),sF1)),X0)),
    inference(superposition,[],[f5928,f3578]) ).

fof(f8244,plain,
    ! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),X0)),X10) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X9,sF0)))))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X5)),multiply(X5,X4))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X6,sF0)))))),multiply(multiply(X7,inverse(X3)),inverse(X8))),X8)),X6))))),X7)),inverse(X9)))),sF0))))),sF0)))))),X10),
    inference(superposition,[],[f3173,f3578]) ).

fof(f8280,plain,
    ! [X2,X10,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),X0)),X10) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(a1,sF0)),sF1)),X0)),X10),
    inference(backward_demodulation,[],[f8244,f8243]) ).

fof(f8282,plain,
    ! [X0] : inverse(multiply(inverse(multiply(inverse(sF3),multiply(b1,sF2))),X0)) = inverse(multiply(inverse(multiply(inverse(multiply(a1,sF0)),sF1)),X0)),
    inference(backward_demodulation,[],[f8243,f8241]) ).

fof(f8283,plain,
    ! [X0] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0)) = inverse(multiply(inverse(multiply(inverse(sF3),multiply(b1,sF2))),X0)),
    inference(backward_demodulation,[],[f8241,f8240]) ).

fof(f8311,plain,
    ! [X0,X6,X5,X13] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X5,sF0)))))),X6) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(a1,sF0)),sF1)),multiply(inverse(X0),multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X13),inverse(multiply(X5,inverse(inverse(X13)))))))),X6),
    inference(backward_demodulation,[],[f3657,f8280]) ).

fof(f8315,plain,
    ! [X0,X7,X12] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(a1,sF0)),sF1)),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X7,sF0)))))),X0),inverse(X12))),X7))),X12),
    inference(backward_demodulation,[],[f3994,f8280]) ).

fof(f8316,plain,
    ! [X3,X0,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))))),X4),sF0)))))),X5) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(a1,sF0)),sF1)),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X3),X4)),X0))),X5),
    inference(backward_demodulation,[],[f5211,f8280]) ).

fof(f8345,plain,
    ! [X2,X0,X1,X6,X5] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2))))),X6) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(a1,sF0)),sF1)),multiply(inverse(multiply(X5,X1)),multiply(X5,inverse(X2))))),X6),
    inference(backward_demodulation,[],[f6621,f8280]) ).

fof(f8398,plain,
    ! [X3,X0,X4] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X4) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(a1,sF0)),sF1)),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(X0))))),a1),sF0),
    inference(backward_demodulation,[],[f4443,f8280]) ).

fof(f8402,plain,
    ! [X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X4,sF0)))))),X3),sF0)))))),sF0)))))),X5) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(a1,sF0)),sF1)),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4))))),sF0)))))),X5),
    inference(backward_demodulation,[],[f5201,f8280]) ).

fof(f8404,plain,
    ! [X0,X1,X5] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),sF0)))))),sF0)))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(a1,sF0)),sF1)),multiply(inverse(multiply(X5,X1)),multiply(X5,inverse(X0))))),sF0)))))),
    inference(backward_demodulation,[],[f5648,f8280]) ).

fof(f8468,plain,
    ! [X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(b1,sF0)))))),X3),sF0)))))),X4) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(a1,sF0)),sF1)),multiply(inverse(multiply(X2,X3)),multiply(X2,sF2)))),X4),
    inference(backward_demodulation,[],[f5159,f8280]) ).

fof(f8476,plain,
    ! [X3,X0,X7] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X7) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(a1,sF0)),sF1)),multiply(sF2,multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(b1,inverse(X3)),sF0)))))),inverse(multiply(X0,inverse(X3))))))),X7),
    inference(backward_demodulation,[],[f4813,f8280]) ).

fof(f8575,plain,
    ! [X2,X10,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),X0)),X10) = multiply(inverse(multiply(inverse(multiply(inverse(sF3),multiply(b1,sF2))),X0)),X10),
    inference(backward_demodulation,[],[f8280,f8282]) ).

fof(f8668,plain,
    ! [X0] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0)) = inverse(multiply(inverse(multiply(inverse(multiply(a1,sF0)),sF1)),X0)),
    inference(backward_demodulation,[],[f8282,f8283]) ).

fof(f8916,plain,
    ! [X2,X10,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),X0)),X10) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0)),X10),
    inference(forward_demodulation,[],[f8575,f8283]) ).

fof(f8984,plain,
    ! [X2,X0,X1,X6,X5] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2))))),X6) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X5,X1)),multiply(X5,inverse(X2))))),X6),
    inference(backward_demodulation,[],[f8345,f8668]) ).

fof(f9032,plain,
    ! [X3,X0,X4] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X4) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(X0))))),a1),sF0),
    inference(backward_demodulation,[],[f8398,f8668]) ).

fof(f9035,plain,
    ! [X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X4,sF0)))))),X3),sF0)))))),sF0)))))),X5) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4))))),sF0)))))),X5),
    inference(backward_demodulation,[],[f8402,f8668]) ).

fof(f9037,plain,
    ! [X0,X1,X5] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),sF0)))))),sF0)))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X5,X1)),multiply(X5,inverse(X0))))),sF0)))))),
    inference(backward_demodulation,[],[f8404,f8668]) ).

fof(f9058,plain,
    ! [X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(b1,sF0)))))),X3),sF0)))))),X4) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X2,X3)),multiply(X2,sF2)))),X4),
    inference(backward_demodulation,[],[f8468,f8668]) ).

fof(f9107,plain,
    ! [X0,X6,X5,X13] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X5,sF0)))))),X6) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(X0),multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X13),inverse(multiply(X5,inverse(inverse(X13)))))))),X6),
    inference(backward_demodulation,[],[f8311,f8668]) ).

fof(f9115,plain,
    ! [X3,X0,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))))),X4),sF0)))))),X5) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X3),X4)),X0))),X5),
    inference(backward_demodulation,[],[f8316,f8668]) ).

fof(f9116,plain,
    ! [X0,X7,X12] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X7,sF0)))))),X0),inverse(X12))),X7))),X12),
    inference(backward_demodulation,[],[f8315,f8668]) ).

fof(f9126,plain,
    ! [X3,X0,X7] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X7) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(sF2,multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(b1,inverse(X3)),sF0)))))),inverse(multiply(X0,inverse(X3))))))),X7),
    inference(backward_demodulation,[],[f8476,f8668]) ).

fof(f9311,plain,
    ! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),X0)) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0)),inverse(X1)),sF0)))))),X1),
    inference(superposition,[],[f29,f8916]) ).

fof(f9325,plain,
    ! [X2,X3,X0] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0)) = inverse(multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X3,X2))),X0)),
    inference(forward_demodulation,[],[f9311,f29]) ).

fof(f9540,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X9,X4,X5,X12] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X11,sF0)))))),X12) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))))),multiply(multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(multiply(X3,inverse(X5))))),inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X8,X1)),multiply(X8,inverse(X0))))))),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),sF0)))))),X2)))))),multiply(inverse(multiply(X9,X10)),multiply(X9,inverse(multiply(X11,inverse(X10))))))),X12),
    inference(backward_demodulation,[],[f7676,f9325]) ).

fof(f9899,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),X0) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0)))))),a1),sF0),sF0),
    inference(superposition,[],[f4519,f9325]) ).

fof(f9905,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),X0) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),
    inference(forward_demodulation,[],[f9899,f4519]) ).

fof(f10045,plain,
    ! [X3,X0] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X3,b1)),multiply(X3,inverse(multiply(X0,sF2))))),
    inference(backward_demodulation,[],[f7102,f9905]) ).

fof(f10066,plain,
    ! [X3,X0,X4] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))))),multiply(inverse(multiply(X4,b1)),multiply(X4,inverse(multiply(X0,sF2))))),sF0)))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(X3))))),
    inference(backward_demodulation,[],[f6844,f9905]) ).

fof(f10318,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X2,sF0)))))),multiply(X1,X0)),sF0)))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X0,X1)),inverse(X2))))),
    inference(superposition,[],[f6556,f9905]) ).

fof(f10321,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(X0)),sF0)))))),X0),
    inference(superposition,[],[f29,f9905]) ).

fof(f10335,plain,
    ! [X2,X1] : inverse(multiply(inverse(sF1),multiply(a1,sF0))) = inverse(multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),
    inference(forward_demodulation,[],[f10321,f29]) ).

fof(f10343,plain,
    ! [X3,X0,X4] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(X3))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(X4,inverse(multiply(X0,sF2))),inverse(multiply(X4,b1)))),inverse(X3))))),
    inference(backward_demodulation,[],[f10066,f10318]) ).

fof(f10550,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X1,X0)) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(sF1),multiply(a1,sF0))))))),a1),sF0),sF0),
    inference(superposition,[],[f4519,f10335]) ).

fof(f10552,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X1,X0)) = multiply(inverse(sF1),multiply(a1,sF0)),
    inference(forward_demodulation,[],[f10550,f4519]) ).

fof(f10686,plain,
    multiply(inverse(sF1),multiply(a1,sF0)) = multiply(inverse(multiply(a1,sF0)),sF1),
    inference(superposition,[],[f10552,f6]) ).

fof(f10689,plain,
    ! [X0] : multiply(X0,inverse(inverse(multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))),inverse(multiply(inverse(sF1),multiply(a1,sF0))))))) = multiply(multiply(multiply(inverse(sF1),multiply(a1,sF0)),a1),sF0),
    inference(superposition,[],[f4360,f10552]) ).

fof(f10691,plain,
    ! [X0,X1] : multiply(multiply(inverse(multiply(X0,X1)),a1),sF0) = multiply(multiply(inverse(sF1),multiply(a1,sF0)),inverse(multiply(X1,X0))),
    inference(superposition,[],[f4410,f10552]) ).

fof(f10697,plain,
    multiply(multiply(inverse(multiply(a1,sF0)),a1),sF0) = multiply(multiply(inverse(sF1),multiply(a1,sF0)),inverse(sF1)),
    inference(superposition,[],[f4410,f10686]) ).

fof(f11214,plain,
    ! [X0] : multiply(inverse(sF1),multiply(a1,sF0)) = multiply(X0,multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(X0,a1),sF0),sF0)))),inverse(multiply(inverse(sF1),multiply(a1,sF0))))),
    inference(superposition,[],[f10552,f5074]) ).

fof(f11216,plain,
    ! [X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X1,inverse(X0)),sF0)))))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X1,sF0)))))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(X0,a1),sF0),sF0)))))),
    inference(superposition,[],[f1332,f5074]) ).

fof(f11219,plain,
    ! [X0] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(X0,a1),sF0),sF0))))) = multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,X0)))),a1),sF0),sF0),
    inference(superposition,[],[f4519,f5074]) ).

fof(f11222,plain,
    ! [X4] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(inverse(X4),a1),sF0),sF0))))) = X4,
    inference(backward_demodulation,[],[f4519,f11219]) ).

fof(f11223,plain,
    a1 = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(sF0,a1),sF0),sF0))))),
    inference(backward_demodulation,[],[f5102,f11219]) ).

fof(f11224,plain,
    b1 = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(sF2,a1),sF0),sF0))))),
    inference(backward_demodulation,[],[f5101,f11219]) ).

fof(f11228,plain,
    b1 = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(sF3,sF2),sF0))))),
    inference(forward_demodulation,[],[f11224,f4475]) ).

fof(f11229,plain,
    a1 = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(sF1,sF0),sF0))))),
    inference(forward_demodulation,[],[f11223,f6]) ).

fof(f11957,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X1))))),X2) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X2),
    inference(superposition,[],[f8984,f10552]) ).

fof(f12172,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),sF0)))))),X2) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(sF3,sF2)))))),X0),X1)),multiply(sF2,a1)))),X2),
    inference(superposition,[],[f9115,f4475]) ).

fof(f12182,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),sF0)))))),X2) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(inverse(b1),X0),X1)),multiply(sF3,sF2)))),X2),
    inference(superposition,[],[f9115,f11228]) ).

fof(f12183,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),sF0)))))),X2) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(inverse(a1),X0),X1)),multiply(sF1,sF0)))),X2),
    inference(superposition,[],[f9115,f11229]) ).

fof(f12193,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X1,sF0)))))),inverse(X1)),sF0)))))),X2) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),a1),sF0)),X0))),X2),
    inference(superposition,[],[f9115,f4410]) ).

fof(f12232,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X2,sF0))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),sF0)))))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(multiply(X2,inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))))),X0),X1)),X3))))))),
    inference(superposition,[],[f6550,f9115]) ).

fof(f12234,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),sF0)))))),a1),sF0),sF0))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X2,sF0)))))),X0),X1)),X2)),
    inference(superposition,[],[f11222,f9115]) ).

fof(f12275,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),sF0))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X2,sF0)))))),X0),X1)),X2)),
    inference(forward_demodulation,[],[f12234,f11222]) ).

fof(f12297,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X1,sF0)))))),inverse(X1)),sF0)))))),X2) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(X0))))),a1),sF0),sF0)),X0))),X2),
    inference(forward_demodulation,[],[f12193,f4511]) ).

fof(f12299,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),sF0)))))),X2) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)))),X2),
    inference(forward_demodulation,[],[f12183,f4]) ).

fof(f12300,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X1),sF0)))))),X2) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF2,X0),X1)),multiply(sF3,sF2)))),X2),
    inference(forward_demodulation,[],[f12182,f8]) ).

fof(f12302,plain,
    ! [X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X2,X3)),multiply(X2,sF2)))),X4) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(sF3,sF2)))))),b1),X3)),multiply(sF2,a1)))),X4),
    inference(backward_demodulation,[],[f9058,f12172]) ).

fof(f12320,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X9,X4,X5,X12] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X11,sF0)))))),X12) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))))),multiply(multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(multiply(X3,inverse(X5))))),inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X8,X1)),multiply(X8,inverse(X0))))))),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(sF3,sF2)))))),X0),X1)),multiply(sF2,a1)))),X2)))))),multiply(inverse(multiply(X9,X10)),multiply(X9,inverse(multiply(X11,inverse(X10))))))),X12),
    inference(backward_demodulation,[],[f9540,f12172]) ).

fof(f12349,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X2,sF0))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(sF3,sF2)))))),X0),X1)),multiply(sF2,a1)))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(multiply(X2,inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))))),X0),X1)),X3))))))),
    inference(backward_demodulation,[],[f12232,f12172]) ).

fof(f12369,plain,
    ! [X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4))))),sF0)))))),X5) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(sF3,sF2)))))),X4),X3)),multiply(sF2,a1)))),sF0)))))),X5),
    inference(backward_demodulation,[],[f9035,f12172]) ).

fof(f12370,plain,
    ! [X0,X1,X5] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X5,X1)),multiply(X5,inverse(X0))))),sF0)))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(sF3,sF2)))))),X0),X1)),multiply(sF2,a1)))),sF0)))))),
    inference(backward_demodulation,[],[f9037,f12172]) ).

fof(f12408,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X1,sF0)))))),inverse(X1)),sF0)))))),X2) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(inverse(X0),a1),sF0),sF0)))))),X0))),X2),
    inference(forward_demodulation,[],[f12297,f11219]) ).

fof(f12412,plain,
    ! [X3,X0,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),X3),X4)),X0))),X5) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X3),X4)),multiply(sF1,sF0)))),X5),
    inference(backward_demodulation,[],[f9115,f12299]) ).

fof(f12413,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(sF3,sF2)))))),X0),X1)),multiply(sF2,a1)))),X2) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)))),X2),
    inference(backward_demodulation,[],[f12172,f12299]) ).

fof(f12414,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)))),X2) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF2,X0),X1)),multiply(sF3,sF2)))),X2),
    inference(forward_demodulation,[],[f12300,f12299]) ).

fof(f12421,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X1,sF0)))))),inverse(X1)),sF0)))))),X2) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(X0),X0))),X2),
    inference(forward_demodulation,[],[f12408,f5074]) ).

fof(f12440,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X9,X4,X5,X12] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X11,sF0)))))),X12) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))))),multiply(multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(multiply(X3,inverse(X5))))),inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X8,X1)),multiply(X8,inverse(X0))))))),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)))),X2)))))),multiply(inverse(multiply(X9,X10)),multiply(X9,inverse(multiply(X11,inverse(X10))))))),X12),
    inference(backward_demodulation,[],[f12320,f12413]) ).

fof(f12467,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X2,sF0))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(multiply(X2,inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))))),X0),X1)),X3))))))),
    inference(backward_demodulation,[],[f12349,f12413]) ).

fof(f12486,plain,
    ! [X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4))))),sF0)))))),X5) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X4),X3)),multiply(sF1,sF0)))),sF0)))))),X5),
    inference(backward_demodulation,[],[f12369,f12413]) ).

fof(f12487,plain,
    ! [X0,X1,X5] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X5,X1)),multiply(X5,inverse(X0))))),sF0)))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)))),sF0)))))),
    inference(backward_demodulation,[],[f12370,f12413]) ).

fof(f12508,plain,
    ! [X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X2,X3)),multiply(X2,sF2)))),X4) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,b1),X3)),multiply(sF1,sF0)))),X4),
    inference(backward_demodulation,[],[f12302,f12413]) ).

fof(f12514,plain,
    ! [X0,X12] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),inverse(X12))),multiply(sF1,sF0)))),X12),
    inference(backward_demodulation,[],[f9116,f12412]) ).

fof(f12540,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(X0),X0))),X2) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X1),inverse(X1))),multiply(sF1,sF0)))),X2),
    inference(forward_demodulation,[],[f12421,f12299]) ).

fof(f12564,plain,
    ! [X2,X0] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(X0),X0))),X2) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,a1),sF0)),multiply(sF1,sF0)))),X2),
    inference(forward_demodulation,[],[f12540,f4410]) ).

fof(f12569,plain,
    ! [X2,X0] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(X0),X0))),X2) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(sF1,sF0)),multiply(sF1,sF0)))),X2),
    inference(forward_demodulation,[],[f12564,f6]) ).

fof(f12571,plain,
    ! [X2] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X2) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(sF1,sF0)),multiply(sF1,sF0)))),X2),
    inference(backward_demodulation,[],[f11957,f12569]) ).

fof(f12673,plain,
    ! [X0] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,a1),sF0)),multiply(sF1,sF0)))),X0),
    inference(superposition,[],[f12514,f4410]) ).

fof(f12716,plain,
    ! [X0] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(sF1,sF0)),multiply(sF1,sF0)))),X0),
    inference(forward_demodulation,[],[f12673,f6]) ).

fof(f12724,plain,
    ! [X0] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),
    inference(forward_demodulation,[],[f12716,f12571]) ).

fof(f12728,plain,
    ! [X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X0,inverse(inverse(X1))),sF0)))))) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),X1),
    inference(backward_demodulation,[],[f1332,f12724]) ).

fof(f12735,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X0))))),X2) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),
    inference(backward_demodulation,[],[f3721,f12724]) ).

fof(f12740,plain,
    ! [X0,X1] : multiply(X0,inverse(inverse(X1))) = multiply(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),X1),a1),sF0),
    inference(backward_demodulation,[],[f4360,f12724]) ).

fof(f12741,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,inverse(inverse(X1))),inverse(inverse(X2))) = multiply(multiply(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),X1),X2),a1),sF0),
    inference(backward_demodulation,[],[f4441,f12724]) ).

fof(f12753,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),X1),sF0)))))),
    inference(backward_demodulation,[],[f6556,f12724]) ).

fof(f12764,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(X0,X1),X2)),multiply(multiply(X0,a1),sF0)))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X1),X2),sF0)))))),
    inference(backward_demodulation,[],[f6609,f12724]) ).

fof(f12773,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X1,sF0)))))),X2),sF0)))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),X1),X2)),X0))),
    inference(backward_demodulation,[],[f6657,f12724]) ).

fof(f12797,plain,
    ! [X3,X0,X4] : multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(X0))))),a1),sF0) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),X4),
    inference(backward_demodulation,[],[f9032,f12724]) ).

fof(f12799,plain,
    ! [X0,X6,X5,X13] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X5,sF0)))))),X6) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(X0),multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),X13),inverse(multiply(X5,inverse(inverse(X13)))))))),X6),
    inference(backward_demodulation,[],[f9107,f12724]) ).

fof(f12802,plain,
    ! [X3,X0,X7] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(sF2,multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(b1,inverse(X3)),sF0)))))),inverse(multiply(X0,inverse(X3))))))),X7) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),X7),
    inference(backward_demodulation,[],[f9126,f12724]) ).

fof(f12861,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X0,X1)),inverse(X2))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X2),multiply(X1,X0)),sF0)))))),
    inference(backward_demodulation,[],[f10318,f12724]) ).

fof(f12862,plain,
    ! [X3,X0,X4] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(X4,inverse(multiply(X0,sF2))),inverse(multiply(X4,b1)))),inverse(X3))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(X3))))),
    inference(backward_demodulation,[],[f10343,f12724]) ).

fof(f12937,plain,
    ! [X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(X1,inverse(X0)),sF0)))))) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X1),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(X0,a1),sF0),sF0)))))),
    inference(backward_demodulation,[],[f11216,f12724]) ).

fof(f12994,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X2,sF0)))))),X0),X1)),X2)) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),X1),sF0))))),
    inference(backward_demodulation,[],[f12275,f12724]) ).

fof(f12998,plain,
    ! [X3,X0,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X3),X4)),multiply(sF1,sF0)))),X5) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),X3),X4)),X0))),X5),
    inference(backward_demodulation,[],[f12412,f12724]) ).

fof(f13009,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X9,X4,X5,X12] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X11,sF0)))))),X12) = multiply(inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X3),multiply(multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(multiply(X3,inverse(X5))))),inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X8,X1)),multiply(X8,inverse(X0))))))),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)))),X2)))))),multiply(inverse(multiply(X9,X10)),multiply(X9,inverse(multiply(X11,inverse(X10))))))),X12),
    inference(backward_demodulation,[],[f12440,f12724]) ).

fof(f13023,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X2,sF0))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(multiply(X2,inverse(multiply(inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X3),X0),X1)),X3))))))),
    inference(backward_demodulation,[],[f12467,f12724]) ).

fof(f13083,plain,
    ! [X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X1,X0)),multiply(X1,sF0)))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(a1,sF0)))))),X0)),
    inference(backward_demodulation,[],[f6598,f12724]) ).

fof(f13119,plain,
    ! [X0,X1] : multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),multiply(X0,inverse(X1))),X1) = X0,
    inference(backward_demodulation,[],[f29,f12724]) ).

fof(f13169,plain,
    ! [X0] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),multiply(multiply(X0,a1),sF0)) = X0,
    inference(backward_demodulation,[],[f5074,f12724]) ).

fof(f13180,plain,
    ! [X0] : multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),multiply(X0,sF2)),b1) = X0,
    inference(backward_demodulation,[],[f1318,f12724]) ).

fof(f13198,plain,
    ! [X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X4),X3)),multiply(sF1,sF0)))),sF0)))))),X5) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4)))))),X5),
    inference(backward_demodulation,[],[f12486,f12724]) ).

fof(f13199,plain,
    ! [X0,X1,X5] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)))),sF0)))))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X5,X1)),multiply(X5,inverse(X0)))))),
    inference(backward_demodulation,[],[f12487,f12724]) ).

fof(f13215,plain,
    ! [X0,X1,X5] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X5,X1)),multiply(X5,inverse(X0)))))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0))))),
    inference(forward_demodulation,[],[f13199,f12724]) ).

fof(f13216,plain,
    ! [X2,X3,X4,X5] : multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4)))))),X5) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X4),X3)),multiply(sF1,sF0))))),X5),
    inference(forward_demodulation,[],[f13198,f12724]) ).

fof(f13248,plain,
    ! [X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X1,X0)),multiply(X1,sF0)))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),a1),X0)),
    inference(forward_demodulation,[],[f13083,f12724]) ).

fof(f13279,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X9,X4,X5,X12] : multiply(inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X3),multiply(multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(multiply(X3,inverse(X5))))),inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X8,X1)),multiply(X8,inverse(X0))))))),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)))),X2)))))),multiply(inverse(multiply(X9,X10)),multiply(X9,inverse(multiply(X11,inverse(X10))))))),X12) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X11),X12),
    inference(forward_demodulation,[],[f13009,f12724]) ).

fof(f13287,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),X1),sF0))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X2),X0),X1)),X2)),
    inference(forward_demodulation,[],[f12994,f12724]) ).

fof(f13319,plain,
    ! [X0,X1] : multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X1),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(X0,a1),sF0),sF0)))))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),multiply(X1,inverse(X0))),
    inference(forward_demodulation,[],[f12937,f12724]) ).

fof(f13377,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X0,X1)),inverse(X2))))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X2),multiply(X1,X0))),
    inference(forward_demodulation,[],[f12861,f12724]) ).

fof(f13416,plain,
    ! [X3,X0,X7] : multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),X7) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(sF2,multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),multiply(b1,inverse(X3))),inverse(multiply(X0,inverse(X3))))))),X7),
    inference(forward_demodulation,[],[f12802,f12724]) ).

fof(f13419,plain,
    ! [X0,X6,X5,X13] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(X0),multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),X13),inverse(multiply(X5,inverse(inverse(X13)))))))),X6) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X5),X6),
    inference(forward_demodulation,[],[f12799,f12724]) ).

fof(f13442,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),X1),X2)),X0))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X1,sF0)))))),X2)),
    inference(forward_demodulation,[],[f12773,f12724]) ).

fof(f13448,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(X0,X1),X2)),multiply(multiply(X0,a1),sF0)))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X1),X2)),
    inference(forward_demodulation,[],[f12764,f12724]) ).

fof(f13459,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),X1)),
    inference(forward_demodulation,[],[f12753,f12724]) ).

fof(f13477,plain,
    ! [X0,X1] : multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),X1) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),multiply(X0,inverse(inverse(X1)))),
    inference(forward_demodulation,[],[f12728,f12724]) ).

fof(f13523,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),X1),X2)),X0))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X1),X2)),
    inference(forward_demodulation,[],[f13442,f12724]) ).

fof(f13588,plain,
    multiply(inverse(sF1),multiply(a1,sF0)) = multiply(multiply(inverse(sF1),multiply(a1,sF0)),multiply(inverse(sF1),multiply(a1,sF0))),
    inference(superposition,[],[f13119,f10552]) ).

fof(f13625,plain,
    ! [X0] : multiply(X0,inverse(inverse(inverse(X0)))) = multiply(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),a1),sF0),a1),sF0),
    inference(superposition,[],[f12740,f4410]) ).

fof(f13639,plain,
    ! [X0] : multiply(X0,inverse(inverse(inverse(X0)))) = multiply(a1,inverse(inverse(sF0))),
    inference(forward_demodulation,[],[f13625,f12740]) ).

fof(f13649,plain,
    ! [X0] : multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),multiply(a1,inverse(inverse(sF0)))),inverse(inverse(X0))) = X0,
    inference(superposition,[],[f13119,f13639]) ).

fof(f13650,plain,
    ! [X0] : multiply(multiply(X0,a1),sF0) = multiply(multiply(a1,inverse(inverse(sF0))),inverse(inverse(inverse(inverse(X0))))),
    inference(superposition,[],[f4410,f13639]) ).

fof(f13663,plain,
    ! [X0] : multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),a1),sF0),inverse(inverse(X0))) = X0,
    inference(forward_demodulation,[],[f13649,f13477]) ).

fof(f13664,plain,
    ! [X0] : multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),a1),sF0) = X0,
    inference(forward_demodulation,[],[f13663,f4467]) ).

fof(f13986,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,b1),X1)),multiply(sF1,sF0)))) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X0,X1)),multiply(X0,sF2)))),inverse(X2))),X2),
    inference(superposition,[],[f13119,f12508]) ).

fof(f14002,plain,
    ! [X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X0,X1)),multiply(X0,sF2)))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,b1),X1)),multiply(sF1,sF0)))),
    inference(forward_demodulation,[],[f13986,f13119]) ).

fof(f14285,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X2),X0),X1)),X2)) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)))),a1),sF0),sF0))))),
    inference(superposition,[],[f11222,f12998]) ).

fof(f14310,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X2),X0),X1)),X2))) = multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)))),sF2)),b1),
    inference(superposition,[],[f13180,f12998]) ).

fof(f14315,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X2),X0),X1)),X2))),
    inference(forward_demodulation,[],[f14310,f13180]) ).

fof(f14337,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X2),X0),X1)),X2)),
    inference(forward_demodulation,[],[f14285,f11222]) ).

fof(f14353,plain,
    ! [X2,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X1),X2)),multiply(sF1,sF0)))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X1),X2)),
    inference(backward_demodulation,[],[f13523,f14315]) ).

fof(f14367,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),X1),sF0))))),
    inference(backward_demodulation,[],[f13287,f14337]) ).

fof(f14376,plain,
    ! [X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X1,X0)),multiply(X1,sF0)))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,a1),X0)),multiply(sF1,sF0)))),
    inference(backward_demodulation,[],[f13248,f14353]) ).

fof(f14397,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(X0,X1),X2)),multiply(multiply(X0,a1),sF0)))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X1),X2)),multiply(sF1,sF0)))),
    inference(backward_demodulation,[],[f13448,f14353]) ).

fof(f14435,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X0,X1)),inverse(X2))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X2),multiply(X1,X0))),multiply(sF1,sF0)))),
    inference(backward_demodulation,[],[f13377,f14353]) ).

fof(f14492,plain,
    ! [X3,X0,X4] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0)))),X0),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(X3))))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X3),multiply(inverse(multiply(X4,b1)),multiply(X4,inverse(multiply(X0,sF2)))))),multiply(sF1,sF0)))),
    inference(backward_demodulation,[],[f12862,f14435]) ).

fof(f14520,plain,
    ! [X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X1,X0)),multiply(X1,sF0)))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(sF1,X0)),multiply(sF1,sF0)))),
    inference(forward_demodulation,[],[f14376,f6]) ).

fof(f14576,plain,
    ! [X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(sF1,X1)),multiply(sF1,sF0)))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(multiply(sF0,X0),a1),X1)),multiply(multiply(sF1,sF0),inverse(inverse(X0)))))),
    inference(superposition,[],[f14520,f4500]) ).

fof(f14900,plain,
    ! [X0] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(sF1),multiply(a1,sF0)),inverse(multiply(X0,inverse(multiply(inverse(sF1),multiply(a1,sF0)))))))),
    inference(superposition,[],[f6550,f13588]) ).

fof(f14904,plain,
    multiply(inverse(sF1),multiply(a1,sF0)) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(a1,sF0))),
    inference(superposition,[],[f10552,f13588]) ).

fof(f14910,plain,
    ! [X0] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),
    inference(backward_demodulation,[],[f12724,f14904]) ).

fof(f14911,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X0))))),X2) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),
    inference(backward_demodulation,[],[f12735,f14904]) ).

fof(f14913,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,inverse(inverse(X1))),inverse(inverse(X2))) = multiply(multiply(multiply(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X1),X2),a1),sF0),
    inference(backward_demodulation,[],[f12741,f14904]) ).

fof(f14922,plain,
    ! [X3,X0,X4] : multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(X0))))),a1),sF0) = multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X4),
    inference(backward_demodulation,[],[f12797,f14904]) ).

fof(f14986,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X2,sF0))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(multiply(X2,inverse(multiply(inverse(multiply(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X3),X0),X1)),X3))))))),
    inference(backward_demodulation,[],[f13023,f14904]) ).

fof(f15030,plain,
    ! [X0,X1] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(X0,inverse(X1))),X1) = X0,
    inference(backward_demodulation,[],[f13119,f14904]) ).

fof(f15066,plain,
    ! [X0] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(X0,a1),sF0)) = X0,
    inference(backward_demodulation,[],[f13169,f14904]) ).

fof(f15107,plain,
    ! [X0,X1,X5] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X5,X1)),multiply(X5,inverse(X0)))))),
    inference(backward_demodulation,[],[f13215,f14904]) ).

fof(f15108,plain,
    ! [X2,X3,X4,X5] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4)))))),X5) = multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X4),X3)),multiply(sF1,sF0))))),X5),
    inference(backward_demodulation,[],[f13216,f14904]) ).

fof(f15139,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X9,X4,X5,X12] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X11),X12) = multiply(inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X3),multiply(multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(multiply(X3,inverse(X5))))),inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X8,X1)),multiply(X8,inverse(X0))))))),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)))),X2)))))),multiply(inverse(multiply(X9,X10)),multiply(X9,inverse(multiply(X11,inverse(X10))))))),X12),
    inference(backward_demodulation,[],[f13279,f14904]) ).

fof(f15160,plain,
    ! [X0,X1] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X1),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(X0,a1),sF0),sF0)))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(X1,inverse(X0))),
    inference(backward_demodulation,[],[f13319,f14904]) ).

fof(f15215,plain,
    ! [X3,X0,X7] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X7) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(sF2,multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(b1,inverse(X3))),inverse(multiply(X0,inverse(X3))))))),X7),
    inference(backward_demodulation,[],[f13416,f14904]) ).

fof(f15218,plain,
    ! [X0,X6,X5,X13] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X5),X6) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(X0),multiply(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X13),inverse(multiply(X5,inverse(inverse(X13)))))))),X6),
    inference(backward_demodulation,[],[f13419,f14904]) ).

fof(f15226,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X1)),
    inference(backward_demodulation,[],[f13459,f14904]) ).

fof(f15240,plain,
    ! [X0,X1] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X1) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(X0,inverse(inverse(X1)))),
    inference(backward_demodulation,[],[f13477,f14904]) ).

fof(f15259,plain,
    ! [X0] : multiply(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),a1),sF0) = X0,
    inference(backward_demodulation,[],[f13664,f14904]) ).

fof(f15281,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X2),X0),X1)),X2)),
    inference(backward_demodulation,[],[f14337,f14904]) ).

fof(f15283,plain,
    ! [X2,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X1),X2)),multiply(sF1,sF0)))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X1),X2)),
    inference(backward_demodulation,[],[f14353,f14904]) ).

fof(f15290,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X1),sF0))))),
    inference(backward_demodulation,[],[f14367,f14904]) ).

fof(f15338,plain,
    ! [X3,X0,X4] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF0,X3),multiply(inverse(multiply(X4,b1)),multiply(X4,inverse(multiply(X0,sF2)))))),multiply(sF1,sF0)))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(X3))))),
    inference(backward_demodulation,[],[f14492,f14904]) ).

fof(f15372,plain,
    ! [X0] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0)),a1),sF0))),
    inference(forward_demodulation,[],[f14900,f10691]) ).

fof(f15377,plain,
    ! [X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X2,X3)),multiply(X2,sF2)))),X4) = multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),b1),X3)),X4),
    inference(backward_demodulation,[],[f12508,f15283]) ).

fof(f15403,plain,
    ! [X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X0,X1)),multiply(X0,sF2)))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),b1),X1)),
    inference(backward_demodulation,[],[f14002,f15283]) ).

fof(f15413,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(sF2,X0),X1)),multiply(sF3,sF2)))),X2) = multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X1)),X2),
    inference(backward_demodulation,[],[f12414,f15283]) ).

fof(f15443,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(multiply(X0,X1),X2)),multiply(multiply(X0,a1),sF0)))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X1),X2)),
    inference(backward_demodulation,[],[f14397,f15283]) ).

fof(f15509,plain,
    ! [X3,X0,X4] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(X3))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X3),multiply(inverse(multiply(X4,b1)),multiply(X4,inverse(multiply(X0,sF2)))))),
    inference(backward_demodulation,[],[f15338,f15283]) ).

fof(f15646,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X9,X4,X5,X12] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X11),X12) = multiply(inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X3),multiply(multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(multiply(X3,inverse(X5))))),inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X8,X1)),multiply(X8,inverse(X0))))))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X1)),X2)))))),multiply(inverse(multiply(X9,X10)),multiply(X9,inverse(multiply(X11,inverse(X10))))))),X12),
    inference(forward_demodulation,[],[f15139,f15283]) ).

fof(f15661,plain,
    ! [X2,X3,X4,X5] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4)))))),X5) = multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X4),X3))),X5),
    inference(forward_demodulation,[],[f15108,f15283]) ).

fof(f15662,plain,
    ! [X0,X1,X5] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X5,X1)),multiply(X5,inverse(X0)))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X1))),
    inference(forward_demodulation,[],[f15107,f15283]) ).

fof(f15708,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X2,sF0))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X1)),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(multiply(X2,inverse(multiply(inverse(multiply(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X3),X0),X1)),X3))))))),
    inference(forward_demodulation,[],[f14986,f15283]) ).

fof(f15733,plain,
    ! [X0] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0))),
    inference(forward_demodulation,[],[f15372,f15066]) ).

fof(f15888,plain,
    ! [X2,X3,X4,X5] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X4),X3))),X5) = multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X2,X3)),multiply(X2,inverse(X4))),sF0))))),X5),
    inference(backward_demodulation,[],[f15661,f15733]) ).

fof(f15889,plain,
    ! [X0,X1,X5] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X1))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X5,X1)),multiply(X5,inverse(X0))),sF0))))),
    inference(backward_demodulation,[],[f15662,f15733]) ).

fof(f16023,plain,
    multiply(a1,sF0) = multiply(multiply(inverse(sF1),multiply(a1,sF0)),sF1),
    inference(superposition,[],[f15030,f10552]) ).

fof(f16279,plain,
    sF0 = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(sF1,sF0)),
    inference(superposition,[],[f15066,f6]) ).

fof(f16280,plain,
    sF2 = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(sF3,sF2)),
    inference(superposition,[],[f15066,f4475]) ).

fof(f16285,plain,
    ! [X0] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),a1),sF0) = multiply(X0,inverse(multiply(multiply(X0,a1),sF0))),
    inference(superposition,[],[f4410,f15066]) ).

fof(f16296,plain,
    multiply(multiply(multiply(inverse(sF1),multiply(a1,sF0)),a1),sF0) = multiply(multiply(a1,sF0),inverse(sF1)),
    inference(superposition,[],[f4410,f16023]) ).

fof(f16305,plain,
    ! [X0] : multiply(X0,inverse(inverse(multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))),inverse(multiply(inverse(sF1),multiply(a1,sF0))))))) = multiply(multiply(a1,sF0),inverse(sF1)),
    inference(backward_demodulation,[],[f10689,f16296]) ).

fof(f16306,plain,
    ! [X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(a1,inverse(inverse(sF0)))),multiply(X0,inverse(X1))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X1),inverse(inverse(inverse(X0))))),
    inference(superposition,[],[f15226,f13639]) ).

fof(f16326,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(X2))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X2),multiply(inverse(multiply(X1,b1)),multiply(X1,inverse(multiply(X0,sF2)))))),
    inference(superposition,[],[f15226,f10045]) ).

fof(f16329,plain,
    ! [X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(X0),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(X1))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X1),multiply(multiply(X0,a1),sF0))),
    inference(superposition,[],[f15226,f15066]) ).

fof(f16394,plain,
    ! [X0] : inverse(multiply(inverse(sF1),multiply(a1,sF0))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X0,sF0)),multiply(X0,inverse(a1))))),
    inference(superposition,[],[f15066,f15226]) ).

fof(f16411,plain,
    ! [X0] : inverse(multiply(inverse(sF1),multiply(a1,sF0))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X0,sF0)),multiply(X0,sF0)))),
    inference(forward_demodulation,[],[f16394,f4]) ).

fof(f16445,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X2),multiply(inverse(multiply(X1,b1)),multiply(X1,inverse(multiply(X0,sF2)))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X2),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),
    inference(forward_demodulation,[],[f16326,f15226]) ).

fof(f16457,plain,
    ! [X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(a1,inverse(inverse(sF0)))),multiply(X0,inverse(X1))))) = multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X1)),inverse(X0)),
    inference(forward_demodulation,[],[f16306,f15240]) ).

fof(f16463,plain,
    ! [X3,X0] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(X3))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X3),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),
    inference(backward_demodulation,[],[f15509,f16445]) ).

fof(f16510,plain,
    multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),a1),sF0) = multiply(sF2,inverse(multiply(sF3,sF2))),
    inference(superposition,[],[f4410,f16280]) ).

fof(f16515,plain,
    multiply(inverse(sF1),multiply(a1,sF0)) = multiply(inverse(multiply(multiply(sF3,sF2),inverse(multiply(inverse(sF1),multiply(a1,sF0))))),sF2),
    inference(superposition,[],[f10552,f16280]) ).

fof(f16529,plain,
    ! [X0] : multiply(X0,inverse(multiply(multiply(X0,a1),sF0))) = multiply(sF2,inverse(multiply(sF3,sF2))),
    inference(backward_demodulation,[],[f16285,f16510]) ).

fof(f16541,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(X0,inverse(X2))))) = multiply(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0))))),a1),sF0),
    inference(superposition,[],[f15259,f6550]) ).

fof(f16556,plain,
    ! [X0] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(X0),X0))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(sF1,sF0)),multiply(sF1,sF0)))),
    inference(superposition,[],[f14520,f15259]) ).

fof(f16558,plain,
    ! [X0] : inverse(multiply(inverse(sF1),multiply(a1,sF0))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(X0),X0))),
    inference(forward_demodulation,[],[f16556,f16411]) ).

fof(f16566,plain,
    ! [X2,X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))) = multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(X0,inverse(X2))))),
    inference(forward_demodulation,[],[f16541,f15259]) ).

fof(f16646,plain,
    ! [X2,X3,X0,X11,X1,X8,X4,X5,X12] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X11),X12) = multiply(inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X3),multiply(multiply(inverse(multiply(X4,X5)),multiply(X4,inverse(multiply(X3,inverse(X5))))),inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X8,X1)),multiply(X8,inverse(X0))))))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X1)),X2)))))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X11,sF0)))))),X12),
    inference(backward_demodulation,[],[f15646,f16566]) ).

fof(f16702,plain,
    ! [X2,X3,X0,X11,X1,X8,X12] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X11),X12) = multiply(inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X3),multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))),inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X8,X1)),multiply(X8,inverse(X0))))))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X1)),X2)))))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X11,sF0)))))),X12),
    inference(forward_demodulation,[],[f16646,f16566]) ).

fof(f17214,plain,
    ! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X3),X4) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),b1),X0)),multiply(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X1,X0)),multiply(X1,sF2)))),X2),inverse(multiply(X3,inverse(inverse(X2)))))))),X4),
    inference(superposition,[],[f15218,f15377]) ).

fof(f17364,plain,
    ! [X0] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),b1),X0) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(sF2,multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),a1),sF0)))),X0),
    inference(superposition,[],[f15215,f4410]) ).

fof(f17367,plain,
    ! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(X1))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X1),multiply(sF2,multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(b1,inverse(X2))),inverse(multiply(X0,inverse(X2))))))),
    inference(superposition,[],[f15226,f15215]) ).

fof(f17370,plain,
    ! [X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),sF0)))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(sF1,multiply(sF2,multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(b1,inverse(X1))),inverse(multiply(X0,inverse(X1))))))),multiply(sF1,sF0)))),
    inference(superposition,[],[f14520,f15215]) ).

fof(f17423,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X1),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X1),multiply(sF2,multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(b1,inverse(X2))),inverse(multiply(X0,inverse(X2))))))),
    inference(forward_demodulation,[],[f17367,f16463]) ).

fof(f17424,plain,
    ! [X0] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),b1),X0) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(sF2,multiply(sF2,inverse(multiply(sF3,sF2)))))),X0),
    inference(forward_demodulation,[],[f17364,f16510]) ).

fof(f17744,plain,
    multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),a1),sF0) = multiply(sF0,inverse(multiply(sF1,sF0))),
    inference(superposition,[],[f4410,f16279]) ).

fof(f17751,plain,
    ! [X0] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF0),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(X0))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),multiply(sF1,sF0))),
    inference(superposition,[],[f15226,f16279]) ).

fof(f17756,plain,
    multiply(sF2,inverse(multiply(sF3,sF2))) = multiply(sF0,inverse(multiply(sF1,sF0))),
    inference(backward_demodulation,[],[f16510,f17744]) ).

fof(f17761,plain,
    ! [X0] : multiply(X0,inverse(multiply(multiply(X0,a1),sF0))) = multiply(sF0,inverse(multiply(sF1,sF0))),
    inference(backward_demodulation,[],[f16529,f17756]) ).

fof(f17770,plain,
    ! [X0] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),b1),X0) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(sF2,multiply(sF0,inverse(multiply(sF1,sF0)))))),X0),
    inference(backward_demodulation,[],[f17424,f17756]) ).

fof(f17793,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(X0,a1),sF0)),X1)) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X0,X1)),multiply(sF0,inverse(multiply(sF1,sF0)))))),
    inference(superposition,[],[f15226,f17761]) ).

fof(f17806,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(sF0,inverse(multiply(sF1,sF0)))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X0,inverse(multiply(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X1),a1),sF0)))),multiply(X0,inverse(X1))))),
    inference(superposition,[],[f15226,f17761]) ).

fof(f17812,plain,
    multiply(multiply(multiply(sF0,inverse(multiply(sF1,sF0))),a1),sF0) = inverse(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),a1),sF0)),
    inference(superposition,[],[f15259,f17761]) ).

fof(f17826,plain,
    inverse(multiply(sF0,inverse(multiply(sF1,sF0)))) = multiply(multiply(multiply(sF0,inverse(multiply(sF1,sF0))),a1),sF0),
    inference(forward_demodulation,[],[f17812,f17744]) ).

fof(f17832,plain,
    ! [X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X1))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(sF0,inverse(multiply(sF1,sF0)))),
    inference(forward_demodulation,[],[f17806,f15259]) ).

fof(f17837,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(X0,X1)) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X0,X1)),multiply(sF0,inverse(multiply(sF1,sF0)))))),
    inference(forward_demodulation,[],[f17793,f15066]) ).

fof(f17854,plain,
    inverse(multiply(sF0,inverse(multiply(sF1,sF0)))) = multiply(multiply(sF1,sF0),inverse(inverse(inverse(multiply(sF1,sF0))))),
    inference(forward_demodulation,[],[f17826,f4500]) ).

fof(f17857,plain,
    inverse(multiply(inverse(sF1),multiply(a1,sF0))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(sF0,inverse(multiply(sF1,sF0)))),
    inference(forward_demodulation,[],[f17832,f16558]) ).

fof(f17867,plain,
    multiply(a1,inverse(inverse(sF0))) = inverse(multiply(sF0,inverse(multiply(sF1,sF0)))),
    inference(forward_demodulation,[],[f17854,f13639]) ).

fof(f17885,plain,
    multiply(inverse(sF1),multiply(a1,sF0)) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(sF1,sF0)),sF0)),
    inference(superposition,[],[f10552,f17867]) ).

fof(f17887,plain,
    ! [X0] : multiply(multiply(X0,a1),sF0) = multiply(multiply(X0,multiply(sF0,inverse(multiply(sF1,sF0)))),multiply(a1,inverse(inverse(sF0)))),
    inference(superposition,[],[f4410,f17867]) ).

fof(f17888,plain,
    ! [X0] : multiply(multiply(multiply(X0,multiply(sF0,inverse(multiply(sF1,sF0)))),a1),sF0) = multiply(multiply(multiply(X0,a1),sF0),inverse(multiply(a1,inverse(inverse(sF0))))),
    inference(superposition,[],[f4467,f17867]) ).

fof(f17894,plain,
    ! [X0] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),multiply(sF0,inverse(multiply(sF1,sF0)))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(X0,inverse(multiply(a1,inverse(inverse(sF0)))))),
    inference(superposition,[],[f15240,f17867]) ).

fof(f18005,plain,
    ! [X2,X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))),sF0)))) = multiply(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X1))),a1),sF0),
    inference(superposition,[],[f15259,f15889]) ).

fof(f18007,plain,
    ! [X2,X0,X1] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),a1),sF0) = multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X1))),inverse(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))),sF0)))))),
    inference(superposition,[],[f4410,f15889]) ).

fof(f18022,plain,
    ! [X2,X0,X1] : multiply(sF0,inverse(multiply(sF1,sF0))) = multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X1))),inverse(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))),sF0)))))),
    inference(forward_demodulation,[],[f18007,f17744]) ).

fof(f18024,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X1)) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))),sF0)))),
    inference(forward_demodulation,[],[f18005,f15259]) ).

fof(f18299,plain,
    ! [X2,X0,X1] : multiply(a1,inverse(inverse(sF0))) = multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X1))),inverse(inverse(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))),sF0))))))))),
    inference(superposition,[],[f13639,f15888]) ).

fof(f18324,plain,
    ! [X2,X0,X1] : multiply(a1,inverse(inverse(sF0))) = multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X1))),inverse(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))))))),
    inference(forward_demodulation,[],[f18299,f14910]) ).

fof(f18535,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(inverse(X0))) = multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X0,inverse(X1))),multiply(a1,inverse(inverse(sF0)))))),X1),
    inference(superposition,[],[f14911,f13639]) ).

fof(f18895,plain,
    ! [X0] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(sF1),multiply(a1,sF0)),inverse(multiply(X0,inverse(multiply(inverse(sF1),multiply(a1,sF0))))))),
    inference(superposition,[],[f16566,f13588]) ).

fof(f18953,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(X0,inverse(inverse(X1)))),sF0)))),
    inference(superposition,[],[f16566,f15030]) ).

fof(f18988,plain,
    ! [X0] : multiply(inverse(sF1),inverse(multiply(X0,inverse(multiply(a1,sF0))))) = multiply(multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))),a1),sF0),
    inference(superposition,[],[f15259,f16566]) ).

fof(f19003,plain,
    ! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0))))),multiply(inverse(multiply(X1,X2)),inverse(X3))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X3),multiply(X1,inverse(multiply(X0,inverse(X2)))))),
    inference(superposition,[],[f15226,f16566]) ).

fof(f19027,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X1),sF0)))),
    inference(forward_demodulation,[],[f18953,f15240]) ).

fof(f19047,plain,
    ! [X0] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0)),a1),sF0)),
    inference(forward_demodulation,[],[f18895,f10691]) ).

fof(f19148,plain,
    ! [X0] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))) = inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0)),
    inference(forward_demodulation,[],[f19047,f15066]) ).

fof(f19198,plain,
    ! [X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(sF1,multiply(sF2,multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(b1,inverse(X1))),inverse(multiply(X0,inverse(X1))))))),multiply(sF1,sF0)))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),sF0)),sF0)))),
    inference(backward_demodulation,[],[f17370,f19148]) ).

fof(f19201,plain,
    ! [X3,X0] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X3),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(X3))),sF0)))),
    inference(backward_demodulation,[],[f16463,f19148]) ).

fof(f19207,plain,
    ! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X3),X4) = multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),b1),X0)),multiply(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X1,X0)),multiply(X1,sF2)))),X2),inverse(multiply(X3,inverse(inverse(X2)))))),sF0)))),X4),
    inference(backward_demodulation,[],[f17214,f19148]) ).

fof(f19257,plain,
    ! [X0] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(X0,a1),sF0),sF0))))) = multiply(multiply(multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(sF1),multiply(sF0,X0)),sF0)))),a1),sF0),sF0),
    inference(backward_demodulation,[],[f11219,f19148]) ).

fof(f19285,plain,
    ! [X0] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),multiply(sF1,sF0))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(sF0),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(X0))),sF0)))),
    inference(backward_demodulation,[],[f17751,f19148]) ).

fof(f19336,plain,
    ! [X0,X1] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X1)),inverse(X0)) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(a1,inverse(inverse(sF0)))),multiply(X0,inverse(X1))),sF0)))),
    inference(backward_demodulation,[],[f16457,f19148]) ).

fof(f19346,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X1),multiply(multiply(X0,a1),sF0))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(X0),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(X1))),sF0)))),
    inference(backward_demodulation,[],[f16329,f19148]) ).

fof(f19363,plain,
    ! [X3,X0,X4] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X4) = multiply(multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(X0))),sF0)))),a1),sF0),
    inference(backward_demodulation,[],[f14922,f19148]) ).

fof(f19411,plain,
    ! [X2,X3,X0,X11,X1,X8,X12] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X11),X12) = multiply(inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X3),multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))),inverse(multiply(inverse(multiply(X2,multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X8,X1)),multiply(X8,inverse(X0))),sF0)))))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X1)),X2)))))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X11,sF0)))))),X12),
    inference(backward_demodulation,[],[f16702,f19148]) ).

fof(f19432,plain,
    ! [X2,X0,X1] : multiply(a1,inverse(inverse(sF0))) = multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X1))),inverse(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))),sF0)))))),
    inference(backward_demodulation,[],[f18324,f19148]) ).

fof(f19473,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X3),multiply(X1,inverse(multiply(X0,inverse(X2)))))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0))))),multiply(inverse(multiply(X1,X2)),inverse(X3))),sF0)))),
    inference(backward_demodulation,[],[f19003,f19148]) ).

fof(f19494,plain,
    ! [X0] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))),sF0)))),
    inference(backward_demodulation,[],[f14910,f19148]) ).

fof(f19533,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(X0,X1)) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X0,X1)),multiply(sF0,inverse(multiply(sF1,sF0)))),sF0)))),
    inference(backward_demodulation,[],[f17837,f19148]) ).

fof(f19543,plain,
    ! [X0,X1] : inverse(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(sF1,X1)),multiply(sF1,sF0)))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(multiply(sF0,X0),a1),X1)),multiply(multiply(sF1,sF0),inverse(inverse(X0)))),sF0)))),
    inference(backward_demodulation,[],[f14576,f19148]) ).

fof(f19556,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(inverse(X0))) = multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X0,inverse(X1))),multiply(a1,inverse(inverse(sF0)))),sF0)))),X1),
    inference(backward_demodulation,[],[f18535,f19148]) ).

fof(f19593,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X1),X2)) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),multiply(multiply(X0,a1),sF0)),sF0)))),
    inference(backward_demodulation,[],[f15443,f19148]) ).

fof(f19603,plain,
    ! [X2,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X1),X2)) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X1),X2)),multiply(sF1,sF0)),sF0)))),
    inference(backward_demodulation,[],[f15283,f19148]) ).

fof(f19644,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),b1),X1)) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X0,X1)),multiply(X0,sF2)),sF0)))),
    inference(backward_demodulation,[],[f15403,f19148]) ).

fof(f19686,plain,
    ! [X2,X0,X1] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X1)),X2) = multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF2,X0),X1)),multiply(sF3,sF2)),sF0)))),X2),
    inference(backward_demodulation,[],[f15413,f19148]) ).

fof(f19729,plain,
    ! [X0] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),b1),X0) = multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(sF2,multiply(sF0,inverse(multiply(sF1,sF0)))),sF0)))),X0),
    inference(backward_demodulation,[],[f17770,f19148]) ).

fof(f19783,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X2,sF0))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF2,X0),X1)),multiply(sF3,sF2)),sF0)))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(multiply(X2,inverse(multiply(inverse(multiply(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X3),X0),X1)),X3))))))),
    inference(backward_demodulation,[],[f15708,f19686]) ).

fof(f19855,plain,
    ! [X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X0,X1)),multiply(X0,sF2)),sF0)))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,b1),X1)),multiply(sF1,sF0)),sF0)))),
    inference(backward_demodulation,[],[f19644,f19603]) ).

fof(f19870,plain,
    ! [X2,X0,X1] : multiply(sF0,inverse(multiply(sF1,sF0))) = multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)),sF0))))),inverse(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))),sF0)))))),
    inference(backward_demodulation,[],[f18022,f19603]) ).

fof(f19904,plain,
    ! [X2,X0,X1] : multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF2,X0),X1)),multiply(sF3,sF2)),sF0)))),X2) = multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)),sF0)))),X2),
    inference(backward_demodulation,[],[f19686,f19603]) ).

fof(f19953,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X1),multiply(sF2,multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(b1,inverse(X2))),inverse(multiply(X0,inverse(X2))))))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X1),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),multiply(sF1,sF0)),sF0)))),
    inference(backward_demodulation,[],[f17423,f19603]) ).

fof(f20011,plain,
    ! [X2,X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),multiply(multiply(X0,a1),sF0)),sF0)))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X1),X2)),multiply(sF1,sF0)),sF0)))),
    inference(forward_demodulation,[],[f19593,f19603]) ).

fof(f20044,plain,
    ! [X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(sF1,X1)),multiply(sF1,sF0)),sF0)))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(multiply(sF0,X0),a1),X1)),multiply(multiply(sF1,sF0),inverse(inverse(X0)))),sF0)))),
    inference(forward_demodulation,[],[f19543,f19148]) ).

fof(f20090,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0))))),multiply(inverse(multiply(X1,X2)),inverse(X3))),sF0)))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X3),multiply(X1,inverse(multiply(X0,inverse(X2)))))),multiply(sF1,sF0)),sF0)))),
    inference(forward_demodulation,[],[f19473,f19603]) ).

fof(f20124,plain,
    ! [X2,X0,X1] : multiply(a1,inverse(inverse(sF0))) = multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)),sF0))))),inverse(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))),sF0)))))),
    inference(forward_demodulation,[],[f19432,f19603]) ).

fof(f20138,plain,
    ! [X2,X3,X0,X11,X1,X8,X12] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X11),X12) = multiply(inverse(multiply(inverse(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X3),multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))),inverse(multiply(inverse(multiply(X2,multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X8,X1)),multiply(X8,inverse(X0))),sF0)))))),multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)),sF0)))),X2)))))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X11,sF0)))))),X12),
    inference(forward_demodulation,[],[f19411,f19603]) ).

fof(f20174,plain,
    ! [X3,X0,X4] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),X4) = multiply(inverse(sF1),inverse(multiply(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(X0))),inverse(multiply(a1,sF0))))),
    inference(forward_demodulation,[],[f19363,f18988]) ).

fof(f20188,plain,
    ! [X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(X0),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(X1))),sF0)))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X1),multiply(multiply(X0,a1),sF0))),multiply(sF1,sF0)),sF0)))),
    inference(forward_demodulation,[],[f19346,f19603]) ).

fof(f20230,plain,
    ! [X0] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(sF0),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(X0))),sF0)))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X0),multiply(sF1,sF0))),multiply(sF1,sF0)),sF0)))),
    inference(forward_demodulation,[],[f19285,f19603]) ).

fof(f20257,plain,
    ! [X0] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(X0,a1),sF0),sF0))))) = multiply(multiply(inverse(sF1),inverse(multiply(multiply(inverse(sF1),multiply(sF0,X0)),inverse(multiply(a1,sF0))))),sF0),
    inference(forward_demodulation,[],[f19257,f18988]) ).

fof(f20293,plain,
    ! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X3),X4) = multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,b1),X0)),multiply(sF1,sF0)),sF0)))),multiply(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(X1,X0)),multiply(X1,sF2)))),X2),inverse(multiply(X3,inverse(inverse(X2)))))),sF0)))),X4),
    inference(forward_demodulation,[],[f19207,f19603]) ).

fof(f20297,plain,
    ! [X3,X0] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(X3))),sF0)))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X3),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),multiply(sF1,sF0)),sF0)))),
    inference(forward_demodulation,[],[f19201,f19603]) ).

fof(f20300,plain,
    ! [X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),sF0)),sF0)))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(sF1,multiply(sF2,multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(b1,inverse(X1))),inverse(multiply(X0,inverse(X1))))))),multiply(sF1,sF0)),sF0)))),
    inference(forward_demodulation,[],[f19198,f19148]) ).

fof(f20434,plain,
    ! [X2,X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X1),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),multiply(sF1,sF0)),sF0)))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X1),multiply(sF2,multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(b1,inverse(X2))),inverse(multiply(X0,inverse(X2))))))),multiply(sF1,sF0)),sF0)))),
    inference(forward_demodulation,[],[f19953,f19603]) ).

fof(f20487,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X2,sF0))))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)),sF0)))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(multiply(X2,inverse(multiply(inverse(multiply(multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X3),X0),X1)),X3))))))),
    inference(backward_demodulation,[],[f19783,f19904]) ).

fof(f20538,plain,
    multiply(a1,inverse(inverse(sF0))) = multiply(sF0,inverse(multiply(sF1,sF0))),
    inference(backward_demodulation,[],[f19870,f20124]) ).

fof(f20599,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(X1,inverse(X0))) = multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X1),multiply(multiply(inverse(sF1),inverse(multiply(multiply(inverse(sF1),multiply(sF0,X0)),inverse(multiply(a1,sF0))))),sF0)),
    inference(backward_demodulation,[],[f15160,f20257]) ).

fof(f20679,plain,
    multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),a1),sF0) = multiply(a1,inverse(inverse(sF0))),
    inference(backward_demodulation,[],[f17744,f20538]) ).

fof(f20691,plain,
    inverse(multiply(inverse(sF1),multiply(a1,sF0))) = multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(a1,inverse(inverse(sF0)))),
    inference(backward_demodulation,[],[f17857,f20538]) ).

fof(f20693,plain,
    multiply(a1,inverse(inverse(sF0))) = inverse(multiply(a1,inverse(inverse(sF0)))),
    inference(backward_demodulation,[],[f17867,f20538]) ).

fof(f20695,plain,
    ! [X0] : multiply(multiply(X0,a1),sF0) = multiply(multiply(X0,multiply(a1,inverse(inverse(sF0)))),multiply(a1,inverse(inverse(sF0)))),
    inference(backward_demodulation,[],[f17887,f20538]) ).

fof(f20696,plain,
    ! [X0] : multiply(multiply(multiply(X0,a1),sF0),inverse(multiply(a1,inverse(inverse(sF0))))) = multiply(multiply(multiply(X0,multiply(a1,inverse(inverse(sF0)))),a1),sF0),
    inference(backward_demodulation,[],[f17888,f20538]) ).

fof(f20698,plain,
    ! [X0] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(X0,inverse(multiply(a1,inverse(inverse(sF0)))))) = multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),multiply(a1,inverse(inverse(sF0)))),
    inference(backward_demodulation,[],[f17894,f20538]) ).

fof(f20710,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(X0,X1)) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X0,X1)),multiply(a1,inverse(inverse(sF0)))),sF0)))),
    inference(backward_demodulation,[],[f19533,f20538]) ).

fof(f20714,plain,
    ! [X0] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),b1),X0) = multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(sF2,multiply(a1,inverse(inverse(sF0)))),sF0)))),X0),
    inference(backward_demodulation,[],[f19729,f20538]) ).

fof(f20760,plain,
    ! [X0,X1] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(inverse(X0))) = multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(X0,inverse(X1))),X1),
    inference(backward_demodulation,[],[f19556,f20710]) ).

fof(f20774,plain,
    ! [X0,X1] : multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X1)),inverse(X0)) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(X0,inverse(X1))),sF0)))),
    inference(backward_demodulation,[],[f19336,f20693]) ).

fof(f20784,plain,
    ! [X0] : multiply(multiply(multiply(X0,multiply(a1,inverse(inverse(sF0)))),a1),sF0) = multiply(multiply(multiply(X0,a1),sF0),multiply(a1,inverse(inverse(sF0)))),
    inference(backward_demodulation,[],[f20696,f20693]) ).

fof(f20786,plain,
    ! [X0] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),multiply(X0,multiply(a1,inverse(inverse(sF0))))) = multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),X0),multiply(a1,inverse(inverse(sF0)))),
    inference(backward_demodulation,[],[f20698,f20693]) ).

fof(f20789,plain,
    inverse(multiply(inverse(sF1),multiply(a1,sF0))) = multiply(multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),a1),sF0),
    inference(forward_demodulation,[],[f20691,f15240]) ).

fof(f20813,plain,
    ! [X0] : multiply(inverse(multiply(inverse(sF1),multiply(a1,sF0))),inverse(inverse(X0))) = X0,
    inference(forward_demodulation,[],[f20760,f15030]) ).

fof(f20817,plain,
    inverse(multiply(inverse(sF1),multiply(a1,sF0))) = multiply(a1,inverse(inverse(sF0))),
    inference(forward_demodulation,[],[f20789,f20679]) ).

fof(f20833,plain,
    ! [X0] : multiply(inverse(sF1),multiply(a1,sF0)) = multiply(X0,multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(X0,a1),sF0),sF0)))),multiply(a1,inverse(inverse(sF0))))),
    inference(backward_demodulation,[],[f11214,f20817]) ).

fof(f20854,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,inverse(inverse(X1))),inverse(inverse(X2))) = multiply(multiply(multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X1),X2),a1),sF0),
    inference(backward_demodulation,[],[f14913,f20817]) ).

fof(f20906,plain,
    ! [X0,X1] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X1) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(X0,inverse(inverse(X1)))),
    inference(backward_demodulation,[],[f15240,f20817]) ).

fof(f20909,plain,
    ! [X0] : multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),a1),sF0) = X0,
    inference(backward_demodulation,[],[f15259,f20817]) ).

fof(f20912,plain,
    ! [X2,X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0))) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X2),X0),X1)),X2)),
    inference(backward_demodulation,[],[f15281,f20817]) ).

fof(f20913,plain,
    ! [X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0))) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X1),sF0))))),
    inference(backward_demodulation,[],[f15290,f20817]) ).

fof(f20937,plain,
    ! [X0] : multiply(multiply(a1,sF0),inverse(sF1)) = multiply(X0,inverse(inverse(multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))),multiply(a1,inverse(inverse(sF0))))))),
    inference(backward_demodulation,[],[f16305,f20817]) ).

fof(f20941,plain,
    multiply(inverse(sF1),multiply(a1,sF0)) = multiply(inverse(multiply(multiply(sF3,sF2),multiply(a1,inverse(inverse(sF0))))),sF2),
    inference(backward_demodulation,[],[f16515,f20817]) ).

fof(f20981,plain,
    ! [X2,X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))),sF0)))) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X1)),
    inference(backward_demodulation,[],[f18024,f20817]) ).

fof(f21018,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X1),sF0)))),
    inference(backward_demodulation,[],[f19027,f20817]) ).

fof(f21027,plain,
    ! [X0] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),X0)),
    inference(backward_demodulation,[],[f19148,f20817]) ).

fof(f21092,plain,
    ! [X0] : multiply(multiply(a1,inverse(inverse(sF0))),X0) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))),sF0)))),
    inference(backward_demodulation,[],[f19494,f20817]) ).

fof(f21127,plain,
    ! [X2,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X1),X2)),multiply(sF1,sF0)),sF0)))) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X1),X2)),
    inference(backward_demodulation,[],[f19603,f20817]) ).

fof(f21293,plain,
    ! [X2,X3,X0,X11,X1,X8,X12] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X11),X12) = multiply(inverse(multiply(inverse(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))),inverse(multiply(inverse(multiply(X2,multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X8,X1)),multiply(X8,inverse(X0))),sF0)))))),multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)),sF0)))),X2)))))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X11,sF0)))))),X12),
    inference(backward_demodulation,[],[f20138,f20817]) ).

fof(f21304,plain,
    ! [X3,X0,X4] : multiply(inverse(sF1),inverse(multiply(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(X0))),inverse(multiply(a1,sF0))))) = multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X4),
    inference(backward_demodulation,[],[f20174,f20817]) ).

fof(f21307,plain,
    ! [X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X1),multiply(multiply(X0,a1),sF0))),multiply(sF1,sF0)),sF0)))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(X0),multiply(multiply(a1,inverse(inverse(sF0))),inverse(X1))),sF0)))),
    inference(backward_demodulation,[],[f20188,f20817]) ).

fof(f21321,plain,
    ! [X0] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X0),multiply(sF1,sF0))),multiply(sF1,sF0)),sF0)))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(sF0),multiply(multiply(a1,inverse(inverse(sF0))),inverse(X0))),sF0)))),
    inference(backward_demodulation,[],[f20230,f20817]) ).

fof(f21335,plain,
    ! [X0] : multiply(multiply(inverse(sF1),inverse(multiply(multiply(inverse(sF1),multiply(sF0,X0)),inverse(multiply(a1,sF0))))),sF0) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(X0,a1),sF0),sF0))))),
    inference(backward_demodulation,[],[f20257,f20817]) ).

fof(f21353,plain,
    ! [X2,X3,X0,X1,X4] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),X4) = multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,b1),X0)),multiply(sF1,sF0)),sF0)))),multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(X1,X0)),multiply(X1,sF2)))),X2),inverse(multiply(X3,inverse(inverse(X2)))))),sF0)))),X4),
    inference(backward_demodulation,[],[f20293,f20817]) ).

fof(f21357,plain,
    ! [X3,X0] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X3),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),multiply(sF1,sF0)),sF0)))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),multiply(multiply(a1,inverse(inverse(sF0))),inverse(X3))),sF0)))),
    inference(backward_demodulation,[],[f20297,f20817]) ).

fof(f21360,plain,
    ! [X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),multiply(multiply(a1,inverse(inverse(sF0))),sF0)),sF0)))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(sF1,multiply(sF2,multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(b1,inverse(X1))),inverse(multiply(X0,inverse(X1))))))),multiply(sF1,sF0)),sF0)))),
    inference(backward_demodulation,[],[f20300,f20817]) ).

fof(f21397,plain,
    ! [X2,X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X1),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),multiply(sF1,sF0)),sF0)))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X1),multiply(sF2,multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(b1,inverse(X2))),inverse(multiply(X0,inverse(X2))))))),multiply(sF1,sF0)),sF0)))),
    inference(backward_demodulation,[],[f20434,f20817]) ).

fof(f21433,plain,
    ! [X2,X3,X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X2,sF0))))) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)),sF0)))),multiply(multiply(a1,inverse(inverse(sF0))),inverse(multiply(X2,inverse(multiply(inverse(multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),X0),X1)),X3))))))),
    inference(backward_demodulation,[],[f20487,f20817]) ).

fof(f21476,plain,
    ! [X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(X1,inverse(X0))) = multiply(multiply(multiply(a1,inverse(inverse(sF0))),X1),multiply(multiply(inverse(sF1),inverse(multiply(multiply(inverse(sF1),multiply(sF0,X0)),inverse(multiply(a1,sF0))))),sF0)),
    inference(backward_demodulation,[],[f20599,f20817]) ).

fof(f21521,plain,
    ! [X0] : multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(sF2,multiply(a1,inverse(inverse(sF0)))),sF0)))),X0) = multiply(multiply(multiply(a1,inverse(inverse(sF0))),b1),X0),
    inference(backward_demodulation,[],[f20714,f20817]) ).

fof(f21536,plain,
    ! [X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(X0,inverse(X1))),sF0)))) = multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(a1,inverse(inverse(sF0))),X1)),inverse(X0)),
    inference(backward_demodulation,[],[f20774,f20817]) ).

fof(f21542,plain,
    ! [X0] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(X0,multiply(a1,inverse(inverse(sF0))))) = multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),multiply(a1,inverse(inverse(sF0)))),
    inference(backward_demodulation,[],[f20786,f20817]) ).

fof(f21549,plain,
    ! [X0] : multiply(multiply(a1,inverse(inverse(sF0))),inverse(inverse(X0))) = X0,
    inference(backward_demodulation,[],[f20813,f20817]) ).

fof(f21559,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(multiply(X0,a1),sF0),
    inference(backward_demodulation,[],[f13650,f21549]) ).

fof(f21585,plain,
    ! [X2,X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X1),multiply(sF2,multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(b1,inverse(X2))),inverse(multiply(X0,inverse(X2))))))),multiply(sF1,sF0)),sF0)))) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),multiply(multiply(a1,inverse(inverse(sF0))),inverse(X1))),sF0)))),
    inference(backward_demodulation,[],[f21397,f21357]) ).

fof(f21614,plain,
    ! [X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X0,X1)),multiply(X0,sF2)),sF0)))) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),b1),X1)),
    inference(backward_demodulation,[],[f19855,f21127]) ).

fof(f21627,plain,
    ! [X2,X3,X0,X1,X4] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),X4) = multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),b1),X0)),multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(X1,X0)),multiply(X1,sF2)))),X2),inverse(multiply(X3,inverse(inverse(X2)))))),sF0)))),X4),
    inference(backward_demodulation,[],[f21353,f21127]) ).

fof(f21630,plain,
    ! [X2,X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),multiply(multiply(X0,a1),sF0)),sF0)))) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X1),X2)),
    inference(backward_demodulation,[],[f20011,f21127]) ).

fof(f21696,plain,
    ! [X2,X3,X0,X11,X1,X8,X12] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X11),X12) = multiply(inverse(multiply(inverse(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))),inverse(multiply(inverse(multiply(X2,multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X8,X1)),multiply(X8,inverse(X0))),sF0)))))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X1)),X2)))))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X11,sF0)))))),X12),
    inference(backward_demodulation,[],[f21293,f21127]) ).

fof(f21718,plain,
    ! [X2,X3,X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X2,sF0))))) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X1)),multiply(multiply(a1,inverse(inverse(sF0))),inverse(multiply(X2,inverse(multiply(inverse(multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),X0),X1)),X3))))))),
    inference(backward_demodulation,[],[f21433,f21127]) ).

fof(f21785,plain,
    ! [X2,X3,X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0))))),multiply(inverse(multiply(X1,X2)),inverse(X3))),sF0)))) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),multiply(X1,inverse(multiply(X0,inverse(X2)))))),
    inference(backward_demodulation,[],[f20090,f21127]) ).

fof(f21805,plain,
    ! [X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(X0),multiply(multiply(a1,inverse(inverse(sF0))),inverse(X1))),sF0)))) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X1),multiply(multiply(X0,a1),sF0))),
    inference(backward_demodulation,[],[f21307,f21127]) ).

fof(f21891,plain,
    ! [X3,X0] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),multiply(multiply(a1,inverse(inverse(sF0))),inverse(X3))),sF0)))) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0)))))),
    inference(backward_demodulation,[],[f21357,f21127]) ).

fof(f21895,plain,
    ! [X0] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(sF0),multiply(multiply(a1,inverse(inverse(sF0))),inverse(X0))),sF0)))) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),multiply(sF1,sF0))),
    inference(backward_demodulation,[],[f21321,f21127]) ).

fof(f21945,plain,
    ! [X0] : multiply(inverse(sF1),inverse(multiply(X0,inverse(multiply(a1,sF0))))) = multiply(multiply(inverse(multiply(multiply(a1,inverse(inverse(sF0))),X0)),a1),sF0),
    inference(backward_demodulation,[],[f18988,f21027]) ).

fof(f21978,plain,
    ! [X0] : multiply(multiply(a1,inverse(inverse(sF0))),X0) = multiply(inverse(sF1),multiply(sF0,inverse(multiply(inverse(multiply(multiply(a1,inverse(inverse(sF0))),X0)),sF0)))),
    inference(backward_demodulation,[],[f21092,f21027]) ).

fof(f22037,plain,
    ! [X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(sF1,multiply(sF2,multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(b1,inverse(X1))),inverse(multiply(X0,inverse(X1))))))),multiply(sF1,sF0)),sF0)))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),multiply(multiply(a1,inverse(inverse(sF0))),sF0)))),
    inference(backward_demodulation,[],[f21360,f21027]) ).

fof(f22049,plain,
    ! [X0,X1] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(a1,inverse(inverse(sF0))),X1)),inverse(X0)) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(a1,inverse(inverse(sF0))),multiply(X0,inverse(X1))))),
    inference(backward_demodulation,[],[f21536,f21027]) ).

fof(f22062,plain,
    ! [X0] : multiply(multiply(inverse(sF1),inverse(multiply(multiply(inverse(sF1),multiply(sF0,X0)),inverse(multiply(a1,sF0))))),sF0) = multiply(multiply(a1,inverse(inverse(sF0))),inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(X0,a1),sF0)))),
    inference(backward_demodulation,[],[f21335,f21027]) ).

fof(f22183,plain,
    ! [X2,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X1),X2)) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(multiply(sF0,X1),X2)),multiply(sF1,sF0)))),
    inference(backward_demodulation,[],[f21127,f21027]) ).

fof(f22185,plain,
    ! [X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(sF1,X1)),multiply(sF1,sF0)),sF0)))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(multiply(multiply(sF0,X0),a1),X1)),multiply(multiply(sF1,sF0),inverse(inverse(X0)))))),
    inference(backward_demodulation,[],[f20044,f21027]) ).

fof(f22277,plain,
    ! [X0] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),b1),X0) = multiply(inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(sF2,multiply(a1,inverse(inverse(sF0)))))),X0),
    inference(backward_demodulation,[],[f21521,f21027]) ).

fof(f22292,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X1))),
    inference(forward_demodulation,[],[f21018,f21027]) ).

fof(f22319,plain,
    ! [X2,X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X1)) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))))),
    inference(forward_demodulation,[],[f20981,f21027]) ).

fof(f22340,plain,
    ! [X0] : multiply(multiply(a1,sF0),inverse(sF1)) = multiply(X0,inverse(inverse(multiply(inverse(multiply(multiply(a1,inverse(inverse(sF0))),X0)),multiply(a1,inverse(inverse(sF0))))))),
    inference(forward_demodulation,[],[f20937,f21027]) ).

fof(f22349,plain,
    ! [X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0))) = multiply(multiply(a1,inverse(inverse(sF0))),inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X1)))),
    inference(forward_demodulation,[],[f20913,f21027]) ).

fof(f22394,plain,
    ! [X0] : multiply(inverse(sF1),multiply(a1,sF0)) = multiply(X0,multiply(inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(X0,a1),sF0))),multiply(a1,inverse(inverse(sF0))))),
    inference(forward_demodulation,[],[f20833,f21027]) ).

fof(f22402,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
    inference(backward_demodulation,[],[f4410,f21559]) ).

fof(f22405,plain,
    ! [X0] : multiply(multiply(multiply(X0,b1),a1),sF0) = multiply(inverse(inverse(X0)),inverse(sF2)),
    inference(backward_demodulation,[],[f4491,f21559]) ).

fof(f22418,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(multiply(X0,multiply(a1,inverse(inverse(sF0)))),multiply(a1,inverse(inverse(sF0)))),
    inference(backward_demodulation,[],[f20695,f21559]) ).

fof(f22419,plain,
    ! [X0] : multiply(multiply(multiply(X0,multiply(a1,inverse(inverse(sF0)))),a1),sF0) = multiply(inverse(inverse(X0)),multiply(a1,inverse(inverse(sF0)))),
    inference(backward_demodulation,[],[f20784,f21559]) ).

fof(f22432,plain,
    ! [X2,X0,X1] : multiply(multiply(X0,inverse(inverse(X1))),inverse(inverse(X2))) = inverse(inverse(multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X1),X2))),
    inference(backward_demodulation,[],[f20854,f21559]) ).

fof(f22435,plain,
    ! [X0] : inverse(inverse(multiply(multiply(a1,inverse(inverse(sF0))),X0))) = X0,
    inference(backward_demodulation,[],[f20909,f21559]) ).

fof(f22441,plain,
    inverse(inverse(multiply(inverse(sF1),multiply(a1,sF0)))) = multiply(multiply(a1,sF0),inverse(sF1)),
    inference(backward_demodulation,[],[f16296,f21559]) ).

fof(f22443,plain,
    ! [X0] : multiply(multiply(sF1,sF0),inverse(inverse(X0))) = inverse(inverse(multiply(sF0,X0))),
    inference(backward_demodulation,[],[f4500,f21559]) ).

fof(f22445,plain,
    ! [X0,X1] : multiply(multiply(inverse(sF1),multiply(a1,sF0)),inverse(multiply(X1,X0))) = inverse(inverse(inverse(multiply(X0,X1)))),
    inference(backward_demodulation,[],[f10691,f21559]) ).

fof(f22447,plain,
    multiply(multiply(inverse(sF1),multiply(a1,sF0)),inverse(sF1)) = inverse(inverse(inverse(multiply(a1,sF0)))),
    inference(backward_demodulation,[],[f10697,f21559]) ).

fof(f22453,plain,
    inverse(inverse(sF2)) = multiply(sF3,sF2),
    inference(backward_demodulation,[],[f4475,f21559]) ).

fof(f22483,plain,
    ! [X2,X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(multiply(sF0,X1),multiply(sF2,multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(b1,inverse(X2))),inverse(multiply(X0,inverse(X2))))))),multiply(sF1,sF0)),sF0)))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),multiply(multiply(a1,inverse(inverse(sF0))),inverse(X1))))),
    inference(forward_demodulation,[],[f21585,f21027]) ).

fof(f22527,plain,
    ! [X0] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),multiply(sF1,sF0))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(sF0),multiply(multiply(a1,inverse(inverse(sF0))),inverse(X0))))),
    inference(forward_demodulation,[],[f21895,f21027]) ).

fof(f22531,plain,
    ! [X3,X0] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),multiply(multiply(a1,inverse(inverse(sF0))),inverse(X3))),sF0)))) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X0)))),
    inference(forward_demodulation,[],[f21891,f21027]) ).

fof(f22609,plain,
    ! [X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(X0),multiply(multiply(a1,inverse(inverse(sF0))),inverse(X1))),sF0)))) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X1),inverse(inverse(X0)))),
    inference(forward_demodulation,[],[f21805,f21559]) ).

fof(f22629,plain,
    ! [X2,X3,X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),multiply(X1,inverse(multiply(X0,inverse(X2)))))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(inverse(sF1),multiply(sF0,inverse(multiply(X0,sF0))))),multiply(inverse(multiply(X1,X2)),inverse(X3))))),
    inference(forward_demodulation,[],[f21785,f21027]) ).

fof(f22693,plain,
    ! [X2,X3,X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X1)),multiply(multiply(a1,inverse(inverse(sF0))),inverse(multiply(X2,inverse(multiply(inverse(multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),X0),X1)),X3))))))) = multiply(multiply(a1,inverse(inverse(sF0))),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X2))),
    inference(forward_demodulation,[],[f21718,f21027]) ).

fof(f22712,plain,
    ! [X2,X3,X0,X11,X1,X8,X12] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X11),X12) = multiply(inverse(multiply(inverse(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))),inverse(multiply(inverse(multiply(X2,multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(multiply(X8,X1)),multiply(X8,inverse(X0))),sF0)))))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X1)),X2)))))),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X11)))),X12),
    inference(forward_demodulation,[],[f21696,f21027]) ).

fof(f22776,plain,
    ! [X2,X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X1),X2)) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(multiply(X0,X1),X2)),multiply(multiply(X0,a1),sF0)))),
    inference(forward_demodulation,[],[f21630,f21027]) ).

fof(f22779,plain,
    ! [X2,X3,X0,X1,X4] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),X4) = multiply(inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),b1),X0)),multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(X1,X0)),multiply(X1,sF2)))),X2),inverse(multiply(X3,inverse(inverse(X2)))))))),X4),
    inference(forward_demodulation,[],[f21627,f21027]) ).

fof(f22792,plain,
    ! [X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),b1),X1)) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(X0,X1)),multiply(X0,sF2)))),
    inference(forward_demodulation,[],[f21614,f21027]) ).

fof(f22836,plain,
    ! [X0,X1] : inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(multiply(multiply(sF0,X0),a1),X1)),multiply(multiply(sF1,sF0),inverse(inverse(X0)))))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(sF1,X1)),multiply(sF1,sF0)))),
    inference(forward_demodulation,[],[f22185,f21027]) ).

fof(f22901,plain,
    ! [X0] : multiply(multiply(inverse(sF1),inverse(multiply(multiply(inverse(sF1),multiply(sF0,X0)),inverse(multiply(a1,sF0))))),sF0) = multiply(multiply(a1,inverse(inverse(sF0))),inverse(multiply(multiply(a1,inverse(inverse(sF0))),inverse(inverse(X0))))),
    inference(forward_demodulation,[],[f22062,f21559]) ).

fof(f22921,plain,
    ! [X0,X1] : inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),multiply(multiply(a1,inverse(inverse(sF0))),sF0)))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(sF1,multiply(sF2,multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(b1,inverse(X1))),inverse(multiply(X0,inverse(X1))))))),multiply(sF1,sF0)))),
    inference(forward_demodulation,[],[f22037,f21027]) ).

fof(f22973,plain,
    ! [X0] : multiply(multiply(a1,inverse(inverse(sF0))),X0) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X0)))),
    inference(forward_demodulation,[],[f21978,f21027]) ).

fof(f22998,plain,
    ! [X0] : multiply(inverse(sF1),inverse(multiply(X0,inverse(multiply(a1,sF0))))) = inverse(inverse(inverse(multiply(multiply(a1,inverse(inverse(sF0))),X0)))),
    inference(forward_demodulation,[],[f21945,f21559]) ).

fof(f23083,plain,
    ! [X0] : multiply(inverse(sF1),multiply(a1,sF0)) = multiply(X0,multiply(inverse(multiply(multiply(a1,inverse(inverse(sF0))),inverse(inverse(X0)))),multiply(a1,inverse(inverse(sF0))))),
    inference(forward_demodulation,[],[f22394,f21559]) ).

fof(f23106,plain,
    multiply(multiply(a1,sF0),inverse(sF1)) = inverse(multiply(a1,inverse(inverse(sF0)))),
    inference(forward_demodulation,[],[f22441,f20817]) ).

fof(f23124,plain,
    ! [X0] : multiply(inverse(inverse(X0)),multiply(a1,inverse(inverse(sF0)))) = inverse(inverse(multiply(X0,multiply(a1,inverse(inverse(sF0)))))),
    inference(forward_demodulation,[],[f22419,f21559]) ).

fof(f23128,plain,
    ! [X0] : multiply(inverse(inverse(X0)),inverse(sF2)) = inverse(inverse(multiply(X0,b1))),
    inference(forward_demodulation,[],[f22405,f21559]) ).

fof(f23157,plain,
    ! [X2,X0,X1] : inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),multiply(multiply(a1,inverse(inverse(sF0))),inverse(X1))))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(multiply(sF0,X1),multiply(sF2,multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(b1,inverse(X2))),inverse(multiply(X0,inverse(X2))))))),multiply(sF1,sF0)))),
    inference(forward_demodulation,[],[f22483,f21027]) ).

fof(f23194,plain,
    ! [X3,X0] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X0)))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),multiply(multiply(a1,inverse(inverse(sF0))),inverse(X3))))),
    inference(forward_demodulation,[],[f22531,f21027]) ).

fof(f23262,plain,
    ! [X0,X1] : multiply(inverse(sF1),multiply(sF0,inverse(multiply(multiply(inverse(X0),multiply(multiply(a1,inverse(inverse(sF0))),inverse(X1))),sF0)))) = multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(a1,inverse(inverse(sF0))),X1)),X0),
    inference(forward_demodulation,[],[f22609,f20906]) ).

fof(f23281,plain,
    ! [X2,X3,X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),multiply(X1,inverse(multiply(X0,inverse(X2)))))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(inverse(multiply(multiply(a1,inverse(inverse(sF0))),X0))),multiply(inverse(multiply(X1,X2)),inverse(X3))))),
    inference(forward_demodulation,[],[f22629,f21027]) ).

fof(f23350,plain,
    ! [X2,X3,X0,X11,X1,X8,X12] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X11),X12) = multiply(inverse(multiply(inverse(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))),inverse(multiply(inverse(multiply(X2,inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(X8,X1)),multiply(X8,inverse(X0))))))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X1)),X2)))))),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X11)))),X12),
    inference(forward_demodulation,[],[f22712,f21027]) ).

fof(f23396,plain,
    ! [X2,X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X1),X2)) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(multiply(X0,X1),X2)),inverse(inverse(X0))))),
    inference(forward_demodulation,[],[f22776,f21559]) ).

fof(f23443,plain,
    ! [X0,X1] : inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(sF1,X1)),multiply(sF1,sF0)))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(multiply(multiply(sF0,X0),a1),X1)),inverse(inverse(multiply(sF0,X0)))))),
    inference(forward_demodulation,[],[f22836,f22443]) ).

fof(f23497,plain,
    ! [X0] : multiply(multiply(a1,inverse(inverse(sF0))),inverse(X0)) = multiply(multiply(inverse(sF1),inverse(multiply(multiply(inverse(sF1),multiply(sF0,X0)),inverse(multiply(a1,sF0))))),sF0),
    inference(forward_demodulation,[],[f22901,f21549]) ).

fof(f23568,plain,
    ! [X0] : inverse(X0) = multiply(inverse(sF1),inverse(multiply(X0,inverse(multiply(a1,sF0))))),
    inference(forward_demodulation,[],[f22998,f22435]) ).

fof(f23607,plain,
    ! [X0] : multiply(inverse(sF1),multiply(a1,sF0)) = multiply(X0,multiply(inverse(X0),multiply(a1,inverse(inverse(sF0))))),
    inference(forward_demodulation,[],[f23083,f21549]) ).

fof(f23610,plain,
    multiply(a1,inverse(inverse(sF0))) = multiply(multiply(a1,sF0),inverse(sF1)),
    inference(forward_demodulation,[],[f23106,f20693]) ).

fof(f23612,plain,
    ! [X0] : multiply(multiply(a1,sF0),inverse(sF1)) = multiply(X0,multiply(inverse(inverse(inverse(multiply(multiply(a1,inverse(inverse(sF0))),X0)))),multiply(a1,inverse(inverse(sF0))))),
    inference(backward_demodulation,[],[f22340,f23124]) ).

fof(f23636,plain,
    ! [X2,X0,X1] : inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),multiply(multiply(a1,inverse(inverse(sF0))),inverse(X1))))) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X1),multiply(sF2,multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(b1,inverse(X2))),inverse(multiply(X0,inverse(X2))))))),
    inference(forward_demodulation,[],[f23157,f22183]) ).

fof(f23683,plain,
    ! [X0,X1] : inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(X0),multiply(multiply(a1,inverse(inverse(sF0))),inverse(X1))))) = multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(a1,inverse(inverse(sF0))),X1)),X0),
    inference(forward_demodulation,[],[f23262,f21027]) ).

fof(f23690,plain,
    ! [X2,X3,X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),multiply(X1,inverse(multiply(X0,inverse(X2)))))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(X0,multiply(inverse(multiply(X1,X2)),inverse(X3))))),
    inference(forward_demodulation,[],[f23281,f22435]) ).

fof(f23751,plain,
    ! [X2,X3,X0,X11,X1,X12] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X11),X12) = multiply(inverse(multiply(inverse(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))),inverse(multiply(inverse(multiply(X2,multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X1)))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X1)),X2)))))),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X11)))),X12),
    inference(forward_demodulation,[],[f23350,f22319]) ).

fof(f23786,plain,
    ! [X2,X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X1),X2)) = inverse(multiply(multiply(multiply(a1,inverse(inverse(sF0))),inverse(multiply(multiply(X0,X1),X2))),X0)),
    inference(forward_demodulation,[],[f23396,f20906]) ).

fof(f23804,plain,
    ! [X0,X1] : inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(sF1,X1)),multiply(sF1,sF0)))) = inverse(multiply(multiply(multiply(a1,inverse(inverse(sF0))),inverse(multiply(multiply(multiply(sF0,X0),a1),X1))),multiply(sF0,X0))),
    inference(forward_demodulation,[],[f23443,f20906]) ).

fof(f23834,plain,
    ! [X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(X1,inverse(X0))) = multiply(multiply(multiply(a1,inverse(inverse(sF0))),X1),multiply(multiply(a1,inverse(inverse(sF0))),inverse(X0))),
    inference(backward_demodulation,[],[f21476,f23497]) ).

fof(f23881,plain,
    ! [X3,X0,X4] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X4) = inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(X0)))),
    inference(backward_demodulation,[],[f21304,f23568]) ).

fof(f23913,plain,
    ! [X0] : multiply(multiply(a1,sF0),inverse(sF1)) = multiply(X0,multiply(inverse(X0),multiply(a1,inverse(inverse(sF0))))),
    inference(forward_demodulation,[],[f23612,f22435]) ).

fof(f23933,plain,
    ! [X2,X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X1),multiply(sF2,multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(b1,inverse(X2))),inverse(multiply(X0,inverse(X2))))))) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X1),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X0)))),
    inference(forward_demodulation,[],[f23636,f23194]) ).

fof(f23954,plain,
    ! [X0] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),multiply(sF1,sF0))) = multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(a1,inverse(inverse(sF0))),X0)),sF0),
    inference(backward_demodulation,[],[f22527,f23683]) ).

fof(f23961,plain,
    ! [X2,X3,X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X2))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(X2,multiply(inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),X0),X1)),X3))),inverse(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X1)))))),
    inference(backward_demodulation,[],[f22693,f23690]) ).

fof(f23963,plain,
    ! [X2,X3,X0,X1,X4] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),X4) = multiply(inverse(inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(X3,multiply(inverse(multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(X1,X0)),multiply(X1,sF2)))),X2),inverse(X2))),inverse(multiply(multiply(multiply(a1,inverse(inverse(sF0))),b1),X0))))))),X4),
    inference(backward_demodulation,[],[f22779,f23690]) ).

fof(f24000,plain,
    ! [X3,X11,X12] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X11),X12) = multiply(inverse(multiply(inverse(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))),inverse(multiply(inverse(sF1),multiply(a1,sF0)))))),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X11)))),X12),
    inference(forward_demodulation,[],[f23751,f10552]) ).

fof(f24040,plain,
    ! [X1] : inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(sF1,X1)),multiply(sF1,sF0)))) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),a1),X1)),
    inference(forward_demodulation,[],[f23804,f23786]) ).

fof(f24050,plain,
    ! [X3,X0] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X0)))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(a1,inverse(inverse(sF0))),multiply(X0,inverse(X3))))),
    inference(backward_demodulation,[],[f23194,f23834]) ).

fof(f24170,plain,
    multiply(inverse(sF1),multiply(a1,sF0)) = multiply(multiply(a1,sF0),inverse(sF1)),
    inference(forward_demodulation,[],[f23913,f23607]) ).

fof(f24193,plain,
    ! [X2,X3,X0,X1,X4] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),X4) = multiply(multiply(X3,multiply(inverse(multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(X1,X0)),multiply(X1,sF2)))),X2),inverse(X2))),inverse(multiply(multiply(multiply(a1,inverse(inverse(sF0))),b1),X0)))),X4),
    inference(forward_demodulation,[],[f23963,f22435]) ).

fof(f24195,plain,
    ! [X2,X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X2))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(X2,multiply(inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0)))),inverse(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X1)))))),
    inference(forward_demodulation,[],[f23961,f20912]) ).

fof(f24223,plain,
    ! [X3,X11,X12] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X11),X12) = multiply(inverse(multiply(inverse(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),multiply(multiply(inverse(sF1),multiply(sF0,inverse(multiply(X3,sF0)))),multiply(a1,inverse(inverse(sF0)))))),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X11)))),X12),
    inference(forward_demodulation,[],[f24000,f20817]) ).

fof(f24282,plain,
    ! [X0,X1] : inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),multiply(multiply(a1,inverse(inverse(sF0))),sF0)))) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),a1),multiply(sF2,multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(b1,inverse(X1))),inverse(multiply(X0,inverse(X1))))))),
    inference(backward_demodulation,[],[f22921,f24040]) ).

fof(f24292,plain,
    ! [X3,X0] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X0)))) = multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(a1,inverse(inverse(sF0))),X3)),inverse(X0)),
    inference(forward_demodulation,[],[f24050,f22049]) ).

fof(f24362,plain,
    multiply(inverse(sF1),multiply(a1,sF0)) = multiply(a1,inverse(inverse(sF0))),
    inference(forward_demodulation,[],[f24170,f23610]) ).

fof(f24377,plain,
    ! [X3,X0,X1,X4] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),X4) = multiply(multiply(X3,multiply(inverse(inverse(inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(X1,X0)),multiply(X1,sF2))))))),inverse(multiply(multiply(multiply(a1,inverse(inverse(sF0))),b1),X0)))),X4),
    inference(forward_demodulation,[],[f24193,f22402]) ).

fof(f24379,plain,
    ! [X2,X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X2))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(X2,multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X1)),inverse(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X1)))))),
    inference(forward_demodulation,[],[f24195,f22183]) ).

fof(f24398,plain,
    ! [X3,X11,X12] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X11),X12) = multiply(inverse(multiply(inverse(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),multiply(inverse(multiply(multiply(a1,inverse(inverse(sF0))),X3)),multiply(a1,inverse(inverse(sF0)))))),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X11)))),X12),
    inference(forward_demodulation,[],[f24223,f21027]) ).

fof(f24417,plain,
    ! [X0] : inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),multiply(multiply(a1,inverse(inverse(sF0))),sF0)))) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),a1),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X0)))),
    inference(forward_demodulation,[],[f24282,f23933]) ).

fof(f24478,plain,
    multiply(a1,sF0) = multiply(multiply(a1,inverse(inverse(sF0))),sF1),
    inference(backward_demodulation,[],[f16023,f24362]) ).

fof(f24481,plain,
    multiply(a1,inverse(inverse(sF0))) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(sF1,sF0)),sF0)),
    inference(backward_demodulation,[],[f17885,f24362]) ).

fof(f24507,plain,
    multiply(a1,inverse(inverse(sF0))) = multiply(inverse(multiply(multiply(sF3,sF2),multiply(a1,inverse(inverse(sF0))))),sF2),
    inference(backward_demodulation,[],[f20941,f24362]) ).

fof(f24549,plain,
    ! [X0,X1] : inverse(inverse(inverse(multiply(X0,X1)))) = multiply(multiply(a1,inverse(inverse(sF0))),inverse(multiply(X1,X0))),
    inference(backward_demodulation,[],[f22445,f24362]) ).

fof(f24550,plain,
    multiply(multiply(a1,inverse(inverse(sF0))),inverse(sF1)) = inverse(inverse(inverse(multiply(a1,sF0)))),
    inference(backward_demodulation,[],[f22447,f24362]) ).

fof(f24569,plain,
    ! [X0] : multiply(a1,inverse(inverse(sF0))) = multiply(X0,multiply(inverse(X0),multiply(a1,inverse(inverse(sF0))))),
    inference(backward_demodulation,[],[f23607,f24362]) ).

fof(f24595,plain,
    ! [X3,X0,X1,X4] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),X4) = multiply(multiply(X3,multiply(inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(X1,X0)),multiply(X1,sF2)))),inverse(multiply(multiply(multiply(a1,inverse(inverse(sF0))),b1),X0)))),X4),
    inference(forward_demodulation,[],[f24377,f22435]) ).

fof(f24597,plain,
    ! [X2] : multiply(multiply(a1,inverse(inverse(sF0))),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X2))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(X2,inverse(inverse(multiply(a1,inverse(inverse(sF0)))))))),
    inference(forward_demodulation,[],[f24379,f22402]) ).

fof(f24615,plain,
    ! [X0] : inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),multiply(multiply(a1,inverse(inverse(sF0))),sF0)))) = multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(a1,inverse(inverse(sF0))),a1)),inverse(X0)),
    inference(forward_demodulation,[],[f24417,f24292]) ).

fof(f24629,plain,
    ! [X11,X12] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X11),X12) = multiply(inverse(multiply(inverse(multiply(a1,inverse(inverse(sF0)))),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X11)))),X12),
    inference(backward_demodulation,[],[f24398,f24569]) ).

fof(f24681,plain,
    ! [X0] : multiply(multiply(a1,inverse(inverse(sF0))),X0) = inverse(inverse(inverse(inverse(multiply(X0,multiply(a1,inverse(inverse(sF0)))))))),
    inference(backward_demodulation,[],[f22973,f24549]) ).

fof(f24695,plain,
    ! [X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0))) = inverse(inverse(inverse(multiply(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X0),X1),multiply(a1,inverse(inverse(sF0))))))),
    inference(backward_demodulation,[],[f22349,f24549]) ).

fof(f24727,plain,
    ! [X3,X0,X4] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),X4) = multiply(multiply(X3,multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),b1),X0)),inverse(multiply(multiply(multiply(a1,inverse(inverse(sF0))),b1),X0)))),X4),
    inference(forward_demodulation,[],[f24595,f22792]) ).

fof(f24729,plain,
    ! [X2] : multiply(multiply(a1,inverse(inverse(sF0))),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X2))) = inverse(multiply(multiply(multiply(a1,inverse(inverse(sF0))),X2),multiply(a1,inverse(inverse(sF0))))),
    inference(forward_demodulation,[],[f24597,f20906]) ).

fof(f24750,plain,
    ! [X11,X12] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X11),X12) = multiply(inverse(multiply(multiply(a1,inverse(inverse(sF0))),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X11)))),X12),
    inference(forward_demodulation,[],[f24629,f20693]) ).

fof(f24761,plain,
    ! [X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0))) = inverse(multiply(multiply(X0,inverse(inverse(X1))),inverse(inverse(multiply(a1,inverse(inverse(sF0))))))),
    inference(forward_demodulation,[],[f24695,f22432]) ).

fof(f24775,plain,
    ! [X0] : multiply(multiply(a1,inverse(inverse(sF0))),X0) = inverse(inverse(multiply(inverse(inverse(X0)),multiply(a1,inverse(inverse(sF0)))))),
    inference(forward_demodulation,[],[f24681,f23124]) ).

fof(f24800,plain,
    ! [X3,X4] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),X4) = multiply(multiply(X3,inverse(inverse(multiply(a1,inverse(inverse(sF0)))))),X4),
    inference(forward_demodulation,[],[f24727,f22402]) ).

fof(f24802,plain,
    ! [X2] : multiply(multiply(a1,inverse(inverse(sF0))),inverse(multiply(multiply(a1,inverse(inverse(sF0))),X2))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(X2,multiply(a1,inverse(inverse(sF0)))))),
    inference(forward_demodulation,[],[f24729,f21542]) ).

fof(f24813,plain,
    ! [X11,X12] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X11),X12) = multiply(inverse(inverse(inverse(inverse(multiply(X11,multiply(a1,inverse(inverse(sF0)))))))),X12),
    inference(forward_demodulation,[],[f24750,f24549]) ).

fof(f24817,plain,
    ! [X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0))) = inverse(multiply(multiply(X0,inverse(inverse(X1))),inverse(multiply(a1,inverse(inverse(sF0)))))),
    inference(forward_demodulation,[],[f24761,f20693]) ).

fof(f24823,plain,
    ! [X0] : multiply(multiply(a1,inverse(inverse(sF0))),X0) = multiply(inverse(inverse(inverse(inverse(X0)))),multiply(a1,inverse(inverse(sF0)))),
    inference(forward_demodulation,[],[f24775,f23124]) ).

fof(f24846,plain,
    ! [X3,X4] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),X4) = multiply(multiply(X3,inverse(multiply(a1,inverse(inverse(sF0))))),X4),
    inference(forward_demodulation,[],[f24800,f20693]) ).

fof(f24848,plain,
    ! [X2] : inverse(inverse(inverse(multiply(X2,multiply(a1,inverse(inverse(sF0))))))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(X2,multiply(a1,inverse(inverse(sF0)))))),
    inference(forward_demodulation,[],[f24802,f24549]) ).

fof(f24858,plain,
    ! [X11,X12] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X11),X12) = multiply(inverse(inverse(multiply(inverse(inverse(X11)),multiply(a1,inverse(inverse(sF0)))))),X12),
    inference(forward_demodulation,[],[f24813,f23124]) ).

fof(f24860,plain,
    ! [X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(multiply(multiply(sF0,X0),X1)),multiply(sF1,sF0))) = inverse(multiply(multiply(X0,inverse(inverse(X1))),multiply(a1,inverse(inverse(sF0))))),
    inference(forward_demodulation,[],[f24817,f20693]) ).

fof(f24871,plain,
    ! [X3,X4] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X3),X4) = multiply(multiply(X3,multiply(a1,inverse(inverse(sF0)))),X4),
    inference(forward_demodulation,[],[f24846,f20693]) ).

fof(f24873,plain,
    ! [X2] : inverse(multiply(inverse(inverse(X2)),multiply(a1,inverse(inverse(sF0))))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(X2,multiply(a1,inverse(inverse(sF0)))))),
    inference(forward_demodulation,[],[f24848,f23124]) ).

fof(f24881,plain,
    ! [X11,X12] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X11),X12) = multiply(multiply(inverse(inverse(inverse(inverse(X11)))),multiply(a1,inverse(inverse(sF0)))),X12),
    inference(forward_demodulation,[],[f24858,f23124]) ).

fof(f24888,plain,
    ! [X2,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X1),X2)) = inverse(inverse(multiply(multiply(X1,inverse(inverse(X2))),multiply(a1,inverse(inverse(sF0)))))),
    inference(backward_demodulation,[],[f22183,f24860]) ).

fof(f24983,plain,
    ! [X0] : multiply(inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(sF2,multiply(a1,inverse(inverse(sF0)))))),X0) = multiply(multiply(b1,multiply(a1,inverse(inverse(sF0)))),X0),
    inference(backward_demodulation,[],[f22277,f24871]) ).

fof(f25039,plain,
    ! [X11,X12] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X11),X12) = multiply(multiply(multiply(a1,inverse(inverse(sF0))),inverse(inverse(inverse(inverse(X11))))),X12),
    inference(forward_demodulation,[],[f24881,f24871]) ).

fof(f25055,plain,
    ! [X2,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(multiply(a1,inverse(inverse(sF0))),X1),X2)) = multiply(inverse(inverse(multiply(X1,inverse(inverse(X2))))),multiply(a1,inverse(inverse(sF0)))),
    inference(forward_demodulation,[],[f24888,f23124]) ).

fof(f25075,plain,
    ! [X0] : multiply(multiply(b1,multiply(a1,inverse(inverse(sF0)))),X0) = multiply(inverse(multiply(inverse(inverse(sF2)),multiply(a1,inverse(inverse(sF0))))),X0),
    inference(forward_demodulation,[],[f24983,f24873]) ).

fof(f25082,plain,
    ! [X11,X12] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),X11),X12) = multiply(inverse(inverse(X11)),X12),
    inference(forward_demodulation,[],[f25039,f21549]) ).

fof(f25099,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))) = inverse(multiply(inverse(inverse(multiply(X0,inverse(inverse(X1))))),multiply(a1,inverse(inverse(sF0))))),
    inference(backward_demodulation,[],[f22292,f25055]) ).

fof(f25162,plain,
    ! [X0] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(a1,inverse(inverse(sF0))),a1)),inverse(X0)) = inverse(multiply(inverse(inverse(multiply(X0,inverse(inverse(multiply(multiply(a1,inverse(inverse(sF0))),sF0)))))),multiply(a1,inverse(inverse(sF0))))),
    inference(backward_demodulation,[],[f24615,f25055]) ).

fof(f25225,plain,
    ! [X0] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(a1,inverse(inverse(sF0))),X0)),sF0) = multiply(inverse(inverse(multiply(X0,inverse(inverse(multiply(sF1,sF0)))))),multiply(a1,inverse(inverse(sF0)))),
    inference(backward_demodulation,[],[f23954,f25055]) ).

fof(f25231,plain,
    ! [X3,X0] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(a1,inverse(inverse(sF0))),X3)),inverse(X0)) = multiply(inverse(inverse(multiply(X3,inverse(inverse(inverse(multiply(multiply(a1,inverse(inverse(sF0))),X0))))))),multiply(a1,inverse(inverse(sF0)))),
    inference(backward_demodulation,[],[f24292,f25055]) ).

fof(f25275,plain,
    ! [X0] : multiply(multiply(b1,multiply(a1,inverse(inverse(sF0)))),X0) = multiply(inverse(multiply(multiply(sF3,sF2),multiply(a1,inverse(inverse(sF0))))),X0),
    inference(forward_demodulation,[],[f25075,f22453]) ).

fof(f25291,plain,
    ! [X0,X1] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(X0,inverse(inverse(X1)))) = multiply(inverse(inverse(X0)),X1),
    inference(backward_demodulation,[],[f20906,f25082]) ).

fof(f25315,plain,
    ! [X3,X0,X4] : inverse(multiply(inverse(multiply(X3,X4)),multiply(X3,inverse(X0)))) = multiply(inverse(inverse(X0)),X4),
    inference(backward_demodulation,[],[f23881,f25082]) ).

fof(f25354,plain,
    ! [X3,X4] : multiply(multiply(X3,multiply(a1,inverse(inverse(sF0)))),X4) = multiply(inverse(inverse(X3)),X4),
    inference(backward_demodulation,[],[f24871,f25082]) ).

fof(f25375,plain,
    ! [X2,X1] : multiply(inverse(inverse(multiply(X1,inverse(inverse(X2))))),multiply(a1,inverse(inverse(sF0)))) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(inverse(X1)),X2)),
    inference(backward_demodulation,[],[f25055,f25082]) ).

fof(f25409,plain,
    ! [X0] : multiply(multiply(a1,inverse(inverse(sF0))),multiply(X0,multiply(a1,inverse(inverse(sF0))))) = multiply(inverse(inverse(X0)),multiply(a1,inverse(inverse(sF0)))),
    inference(backward_demodulation,[],[f21542,f25082]) ).

fof(f25480,plain,
    ! [X3,X0] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(a1,inverse(inverse(sF0))),X3)),inverse(X0)) = multiply(inverse(inverse(multiply(X3,inverse(X0)))),multiply(a1,inverse(inverse(sF0)))),
    inference(forward_demodulation,[],[f25231,f22435]) ).

fof(f25484,plain,
    ! [X0] : multiply(inverse(inverse(multiply(X0,inverse(inverse(multiply(sF1,sF0)))))),multiply(a1,inverse(inverse(sF0)))) = multiply(inverse(inverse(multiply(multiply(a1,inverse(inverse(sF0))),X0))),sF0),
    inference(forward_demodulation,[],[f25225,f25082]) ).

fof(f25543,plain,
    ! [X0] : multiply(multiply(multiply(a1,inverse(inverse(sF0))),multiply(multiply(a1,inverse(inverse(sF0))),a1)),inverse(X0)) = inverse(multiply(inverse(inverse(multiply(X0,sF0))),multiply(a1,inverse(inverse(sF0))))),
    inference(forward_demodulation,[],[f25162,f22435]) ).

fof(f25597,plain,
    multiply(a1,inverse(inverse(sF0))) = multiply(multiply(b1,multiply(a1,inverse(inverse(sF0)))),sF2),
    inference(backward_demodulation,[],[f24507,f25275]) ).

fof(f25667,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))) = inverse(multiply(multiply(a1,inverse(inverse(sF0))),multiply(inverse(inverse(X0)),X1))),
    inference(backward_demodulation,[],[f25099,f25375]) ).

fof(f25705,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(inverse(inverse(X0)),multiply(a1,inverse(inverse(sF0)))),
    inference(backward_demodulation,[],[f22418,f25354]) ).

fof(f25817,plain,
    ! [X3,X0] : multiply(inverse(inverse(multiply(X3,inverse(X0)))),multiply(a1,inverse(inverse(sF0)))) = multiply(inverse(inverse(multiply(multiply(a1,inverse(inverse(sF0))),X3))),inverse(X0)),
    inference(forward_demodulation,[],[f25480,f25082]) ).

fof(f25821,plain,
    ! [X0] : multiply(X0,sF0) = multiply(inverse(inverse(multiply(X0,inverse(inverse(multiply(sF1,sF0)))))),multiply(a1,inverse(inverse(sF0)))),
    inference(forward_demodulation,[],[f25484,f22435]) ).

fof(f25880,plain,
    ! [X0] : inverse(multiply(inverse(inverse(multiply(X0,sF0))),multiply(a1,inverse(inverse(sF0))))) = multiply(inverse(inverse(multiply(multiply(a1,inverse(inverse(sF0))),a1))),inverse(X0)),
    inference(forward_demodulation,[],[f25543,f25082]) ).

fof(f25932,plain,
    multiply(a1,inverse(inverse(sF0))) = multiply(inverse(inverse(b1)),sF2),
    inference(forward_demodulation,[],[f25597,f25354]) ).

fof(f26047,plain,
    ! [X0] : inverse(inverse(X0)) = inverse(inverse(multiply(X0,multiply(a1,inverse(inverse(sF0)))))),
    inference(backward_demodulation,[],[f23124,f25705]) ).

fof(f26053,plain,
    ! [X0] : inverse(inverse(X0)) = multiply(multiply(a1,inverse(inverse(sF0))),multiply(X0,multiply(a1,inverse(inverse(sF0))))),
    inference(backward_demodulation,[],[f25409,f25705]) ).

fof(f26069,plain,
    ! [X0] : inverse(inverse(inverse(inverse(X0)))) = multiply(multiply(a1,inverse(inverse(sF0))),X0),
    inference(backward_demodulation,[],[f24823,f25705]) ).

fof(f26115,plain,
    ! [X3,X0] : multiply(X3,inverse(X0)) = multiply(inverse(inverse(multiply(X3,inverse(X0)))),multiply(a1,inverse(inverse(sF0)))),
    inference(forward_demodulation,[],[f25817,f22435]) ).

fof(f26118,plain,
    ! [X0] : multiply(X0,sF0) = inverse(inverse(multiply(X0,inverse(inverse(multiply(sF1,sF0)))))),
    inference(forward_demodulation,[],[f25821,f25705]) ).

fof(f26159,plain,
    ! [X0] : multiply(a1,inverse(X0)) = inverse(multiply(inverse(inverse(multiply(X0,sF0))),multiply(a1,inverse(inverse(sF0))))),
    inference(forward_demodulation,[],[f25880,f22435]) ).

fof(f26198,plain,
    multiply(a1,inverse(inverse(sF0))) = multiply(inverse(sF2),sF2),
    inference(forward_demodulation,[],[f25932,f8]) ).

fof(f26359,plain,
    ! [X0,X1] : multiply(inverse(inverse(X0)),X1) = inverse(inverse(inverse(inverse(multiply(X0,inverse(inverse(X1))))))),
    inference(backward_demodulation,[],[f25291,f26069]) ).

fof(f26421,plain,
    multiply(a1,inverse(inverse(sF0))) = inverse(inverse(inverse(inverse(multiply(inverse(multiply(sF1,sF0)),sF0))))),
    inference(backward_demodulation,[],[f24481,f26069]) ).

fof(f26430,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))) = inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(X0)),X1)))))),
    inference(backward_demodulation,[],[f25667,f26069]) ).

fof(f26523,plain,
    ! [X0,X1] : inverse(inverse(inverse(multiply(X0,X1)))) = inverse(inverse(inverse(inverse(inverse(multiply(X1,X0)))))),
    inference(backward_demodulation,[],[f24549,f26069]) ).

fof(f26524,plain,
    ! [X0] : inverse(inverse(inverse(inverse(inverse(inverse(X0)))))) = X0,
    inference(backward_demodulation,[],[f21549,f26069]) ).

fof(f26525,plain,
    inverse(inverse(inverse(multiply(a1,sF0)))) = inverse(inverse(inverse(inverse(inverse(sF1))))),
    inference(backward_demodulation,[],[f24550,f26069]) ).

fof(f26529,plain,
    multiply(a1,sF0) = inverse(inverse(inverse(inverse(sF1)))),
    inference(backward_demodulation,[],[f24478,f26069]) ).

fof(f26544,plain,
    ! [X0] : inverse(inverse(X0)) = inverse(inverse(inverse(inverse(multiply(X0,multiply(a1,inverse(inverse(sF0)))))))),
    inference(forward_demodulation,[],[f26053,f26069]) ).

fof(f26590,plain,
    ! [X3,X0] : multiply(X3,inverse(X0)) = inverse(inverse(multiply(X3,inverse(X0)))),
    inference(forward_demodulation,[],[f26115,f25705]) ).

fof(f26630,plain,
    ! [X0] : multiply(a1,inverse(X0)) = inverse(inverse(inverse(multiply(X0,sF0)))),
    inference(forward_demodulation,[],[f26159,f25705]) ).

fof(f26739,plain,
    ! [X0] : inverse(inverse(X0)) = inverse(inverse(multiply(X0,multiply(inverse(sF2),sF2)))),
    inference(backward_demodulation,[],[f26047,f26198]) ).

fof(f26800,plain,
    inverse(multiply(a1,sF0)) = inverse(inverse(inverse(multiply(a1,sF0)))),
    inference(forward_demodulation,[],[f26525,f26529]) ).

fof(f26878,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))) = inverse(inverse(inverse(multiply(X1,inverse(inverse(X0)))))),
    inference(forward_demodulation,[],[f26430,f26523]) ).

fof(f26886,plain,
    multiply(inverse(sF2),sF2) = inverse(inverse(inverse(inverse(multiply(inverse(multiply(sF1,sF0)),sF0))))),
    inference(forward_demodulation,[],[f26421,f26198]) ).

fof(f27021,plain,
    ! [X0] : inverse(inverse(X0)) = inverse(inverse(inverse(inverse(multiply(X0,multiply(inverse(sF2),sF2)))))),
    inference(forward_demodulation,[],[f26544,f26198]) ).

fof(f27075,plain,
    ! [X0,X1] : inverse(inverse(multiply(X0,inverse(inverse(X1))))) = multiply(inverse(inverse(X0)),X1),
    inference(backward_demodulation,[],[f26359,f26590]) ).

fof(f27077,plain,
    ! [X0] : multiply(X0,sF0) = multiply(X0,inverse(inverse(multiply(sF1,sF0)))),
    inference(backward_demodulation,[],[f26118,f26590]) ).

fof(f27221,plain,
    inverse(multiply(a1,sF0)) = multiply(a1,inverse(a1)),
    inference(forward_demodulation,[],[f26800,f26630]) ).

fof(f27288,plain,
    ! [X2,X0,X1] : multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))) = inverse(multiply(X1,inverse(inverse(X0)))),
    inference(forward_demodulation,[],[f26878,f26590]) ).

fof(f27294,plain,
    multiply(inverse(sF2),sF2) = inverse(multiply(a1,inverse(inverse(multiply(sF1,sF0))))),
    inference(forward_demodulation,[],[f26886,f26630]) ).

fof(f27409,plain,
    ! [X0] : inverse(inverse(X0)) = inverse(inverse(inverse(inverse(X0)))),
    inference(forward_demodulation,[],[f27021,f26739]) ).

fof(f27459,plain,
    ! [X0,X1] : multiply(X0,inverse(inverse(X1))) = multiply(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[],[f27075,f26590]) ).

fof(f27605,plain,
    multiply(a1,sF0) = inverse(multiply(a1,sF0)),
    inference(forward_demodulation,[],[f27221,f4]) ).

fof(f27663,plain,
    ! [X0,X4] : multiply(inverse(inverse(X0)),X4) = inverse(inverse(multiply(X4,inverse(inverse(X0))))),
    inference(backward_demodulation,[],[f25315,f27288]) ).

fof(f27683,plain,
    inverse(multiply(a1,sF0)) = multiply(inverse(sF2),sF2),
    inference(forward_demodulation,[],[f27294,f27077]) ).

fof(f27827,plain,
    ! [X0] : inverse(inverse(inverse(inverse(X0)))) = X0,
    inference(backward_demodulation,[],[f26524,f27409]) ).

fof(f27842,plain,
    multiply(a1,sF0) = inverse(inverse(sF1)),
    inference(backward_demodulation,[],[f26529,f27409]) ).

fof(f27953,plain,
    ! [X0] : multiply(X0,inverse(inverse(inverse(sF2)))) = inverse(inverse(multiply(X0,b1))),
    inference(backward_demodulation,[],[f23128,f27459]) ).

fof(f28171,plain,
    ! [X0,X4] : multiply(inverse(inverse(X0)),X4) = multiply(X4,inverse(inverse(X0))),
    inference(forward_demodulation,[],[f27663,f26590]) ).

fof(f28174,plain,
    multiply(a1,sF0) = multiply(inverse(sF2),sF2),
    inference(forward_demodulation,[],[f27683,f27605]) ).

fof(f28297,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(backward_demodulation,[],[f27409,f27827]) ).

fof(f28352,plain,
    ! [X0] : multiply(X0,inverse(multiply(sF3,sF2))) = inverse(inverse(multiply(X0,b1))),
    inference(forward_demodulation,[],[f27953,f22453]) ).

fof(f28834,plain,
    ! [X0,X4] : multiply(X0,X4) = multiply(X4,X0),
    inference(backward_demodulation,[],[f28171,f28297]) ).

fof(f28843,plain,
    sF1 = multiply(a1,sF0),
    inference(backward_demodulation,[],[f27842,f28297]) ).

fof(f28844,plain,
    sF2 = multiply(sF3,sF2),
    inference(backward_demodulation,[],[f22453,f28297]) ).

fof(f28898,plain,
    ! [X0] : multiply(X0,b1) = multiply(X0,inverse(multiply(sF3,sF2))),
    inference(forward_demodulation,[],[f28352,f28297]) ).

fof(f29317,plain,
    sF1 = multiply(inverse(sF2),sF2),
    inference(backward_demodulation,[],[f28174,f28843]) ).

fof(f29361,plain,
    sF2 = multiply(sF2,sF3),
    inference(backward_demodulation,[],[f28844,f28834]) ).

fof(f29428,plain,
    ! [X0] : multiply(X0,b1) = multiply(X0,inverse(multiply(sF2,sF3))),
    inference(forward_demodulation,[],[f28898,f28834]) ).

fof(f29853,plain,
    sF1 = multiply(sF2,inverse(sF2)),
    inference(forward_demodulation,[],[f29317,f28834]) ).

fof(f29927,plain,
    ! [X0] : multiply(X0,b1) = multiply(X0,inverse(sF2)),
    inference(forward_demodulation,[],[f29428,f29361]) ).

fof(f30392,plain,
    sF1 = multiply(sF2,b1),
    inference(backward_demodulation,[],[f29853,f29927]) ).

fof(f30809,plain,
    sF1 = sF3,
    inference(backward_demodulation,[],[f10,f30392]) ).

fof(f31180,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f30809,f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : GRP505-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.46  % Computer : n003.cluster.edu
% 0.22/0.46  % Model    : x86_64 x86_64
% 0.22/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.46  % Memory   : 8046.5625MB
% 0.22/0.46  % OS       : Linux 6.8.0-71-generic
% 0.22/0.47  % CPULimit : 300
% 0.22/0.47  % WCLimit  : 300
% 0.22/0.47  % DateTime : Sun Sep 27 10:07:56 UTC 2026
% 0.22/0.47  % CPUTime  : 
% 0.22/0.47  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.53  Running first-order theorem proving
% 0.25/0.53  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.56/5.83  % (271822)Detected a unit-equality problem, will run specialized UEQ schedule.
% 29.56/5.83  % (271830)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4025929433:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 29.56/5.83  % (271828)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=2047744257:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 29.56/5.83  % (271831)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1019004763:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 29.56/5.83  % (271829)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1737444459:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 29.56/5.83  % (271833)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1449722140:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 29.56/5.83  % (271834)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3373263917:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 29.56/5.83  % (271832)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2434889648:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 29.56/5.83  % (271831)Instruction limit reached! 
% 29.56/5.83  % (271831)------------------------------
% 29.56/5.83  % (271831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.56/5.83  % (271831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.56/5.83  % (271831)CaDiCaL version: 2.1.3
% 29.56/5.83  % (271831)Termination reason: Instruction limit
% 29.56/5.83  % (271831)Termination phase: Saturation
% 29.56/5.83  % (271831)Time elapsed: 0.072 s
% 29.56/5.83  % (271831)Peak memory usage: 88 MB
% 29.56/5.83  % (271831)Instructions burned: 137 (million)
% 29.56/5.83  % (271832)Instruction limit reached! 
% 29.56/5.83  % (271832)------------------------------
% 29.56/5.83  % (271832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.56/5.83  % (271832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.56/5.83  % (271832)CaDiCaL version: 2.1.3
% 29.56/5.83  % (271832)Termination reason: Instruction limit
% 29.56/5.83  % (271832)Termination phase: Saturation
% 29.56/5.83  % (271832)Time elapsed: 0.087 s
% 29.56/5.83  % (271832)Peak memory usage: 88 MB
% 29.56/5.83  % (271832)Instructions burned: 182 (million)
% 29.56/5.83  % (271833)Instruction limit reached! 
% 29.56/5.83  % (271833)------------------------------
% 29.56/5.83  % (271833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.56/5.83  % (271833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.56/5.83  % (271833)CaDiCaL version: 2.1.3
% 29.56/5.83  % (271833)Termination reason: Instruction limit
% 29.56/5.83  % (271833)Termination phase: Saturation
% 29.56/5.83  % (271833)Time elapsed: 0.134 s
% 29.56/5.83  % (271833)Peak memory usage: 90 MB
% 29.56/5.83  % (271833)Instructions burned: 258 (million)
% 29.56/5.83  % (271842)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3058324662:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 29.56/5.83  % (271843)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2781259940:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 29.56/5.83  % (271844)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=951360334:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 29.56/5.83  % (271844)Instruction limit reached! 
% 29.56/5.83  % (271844)------------------------------
% 29.56/5.83  % (271844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.56/5.83  % (271844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.56/5.83  % (271844)CaDiCaL version: 2.1.3
% 29.56/5.83  % (271844)Termination reason: Instruction limit
% 29.56/5.83  % (271844)Termination phase: Saturation
% 29.56/5.83  % (271844)Time elapsed: 0.123 s
% 29.56/5.83  % (271844)Peak memory usage: 89 MB
% 29.56/5.83  % (271844)Instructions burned: 216 (million)
% 29.56/5.83  % (271853)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2273213174:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 29.56/5.83  % (271834)Instruction limit reached! 
% 29.56/5.83  % (271834)------------------------------
% 29.56/5.83  % (271834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.56/5.83  % (271834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.56/5.83  % (271834)CaDiCaL version: 2.1.3
% 29.56/5.83  % (271834)Termination reason: Instruction limit
% 29.56/5.83  % (271834)Termination phase: Saturation
% 29.56/5.83  % (271834)Time elapsed: 0.587 s
% 29.56/5.83  % (271834)Peak memory usage: 95 MB
% 29.56/5.83  % (271834)Instructions burned: 1187 (million)
% 29.56/5.83  % (271853)Instruction limit reached! 
% 29.56/5.83  % (271853)------------------------------
% 29.56/5.83  % (271853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.56/5.83  % (271853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.56/5.83  % (271853)CaDiCaL version: 2.1.3
% 29.56/5.83  % (271853)Termination reason: Instruction limit
% 29.56/5.83  % (271853)Termination phase: Saturation
% 29.56/5.83  % (271853)Time elapsed: 0.160 s
% 29.56/5.83  % (271853)Peak memory usage: 91 MB
% 29.56/5.83  % (271853)Instructions burned: 317 (million)
% 29.56/5.83  % (271925)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=3995777858:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 29.56/5.83  % (271963)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1066233632:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 29.56/5.83  % (271842)Instruction limit reached! 
% 29.56/5.83  % (271842)------------------------------
% 29.56/5.83  % (271842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.56/5.83  % (271842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.56/5.83  % (271842)CaDiCaL version: 2.1.3
% 29.56/5.83  % (271842)Termination reason: Instruction limit
% 29.56/5.83  % (271842)Termination phase: Saturation
% 29.56/5.83  % (271842)Time elapsed: 1.208 s
% 29.56/5.83  % (271842)Peak memory usage: 139 MB
% 29.56/5.83  % (271842)Instructions burned: 2051 (million)
% 29.56/5.83  % (272008)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1331346556:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2983 on theBenchmark for (2983ds/14534Mi)
% 29.56/5.83  % (271963)Instruction limit reached! 
% 29.56/5.83  % (271963)------------------------------
% 29.56/5.83  % (271963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.56/5.83  % (271963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.56/5.83  % (271963)CaDiCaL version: 2.1.3
% 29.56/5.83  % (271963)Termination reason: Instruction limit
% 29.56/5.83  % (271963)Termination phase: Saturation
% 29.56/5.83  % (271963)Time elapsed: 1.603 s
% 29.56/5.83  % (271963)Peak memory usage: 113 MB
% 29.56/5.83  % (271963)Instructions burned: 2836 (million)
% 29.56/5.83  % (272010)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=3735661507:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2973 on theBenchmark for (2973ds/11832Mi)
% 29.56/5.83  % (271843)Instruction limit reached! 
% 29.56/5.83  % (271843)------------------------------
% 29.56/5.83  % (271843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.56/5.83  % (271843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.56/5.83  % (271843)CaDiCaL version: 2.1.3
% 29.56/5.83  % (271843)Termination reason: Instruction limit
% 29.56/5.83  % (271843)Termination phase: Saturation
% 29.56/5.83  % (271843)Time elapsed: 2.674 s
% 29.56/5.83  % (271843)Peak memory usage: 166 MB
% 29.56/5.83  % (271843)Instructions burned: 4948 (million)
% 29.56/5.83  % (272012)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=2573608389:i=2279:fgj=on:bd=all_2968 on theBenchmark for (2968ds/2279Mi)
% 29.56/5.83  % (272012)Instruction limit reached! 
% 29.56/5.83  % (272012)------------------------------
% 29.56/5.83  % (272012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.56/5.83  % (272012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.56/5.83  % (272012)CaDiCaL version: 2.1.3
% 29.56/5.83  % (272012)Termination reason: Instruction limit
% 29.56/5.83  % (272012)Termination phase: Saturation
% 29.56/5.83  % (272012)Time elapsed: 1.304 s
% 29.56/5.83  % (272012)Peak memory usage: 140 MB
% 29.56/5.83  % (272012)Instructions burned: 2280 (million)
% 29.56/5.83  % (271830)First to succeed.
% 29.56/5.83  % (271830)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-271822"
% 29.56/5.83  % (272014)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=1658157199:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2954 on theBenchmark for (2954ds/6225Mi)
% 29.56/5.83  % (271830)Refutation found. Thanks to Tanya!
% 29.56/5.83  % SZS status Unsatisfiable for theBenchmark
% 29.56/5.83  % SZS output start Proof for theBenchmark
% See solution above
% 34.90/6.03  % (271830)------------------------------
% 34.90/6.03  % (271830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.90/6.03  % (271830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.90/6.03  % (271830)CaDiCaL version: 2.1.3
% 34.90/6.03  % (271830)Termination reason: Refutation
% 34.90/6.03  % (271830)Time elapsed: 4.530 s
% 34.90/6.03  % (271830)Peak memory usage: 189 MB
% 34.90/6.03  % (271830)Instructions burned: 14595 (million)
% 34.90/6.03  % (271830)------------------------------
% 34.90/6.03  % (271830)------------------------------
% 34.90/6.03  % (271822)Success in time 4.841 s
% 34.90/6.03  % Vampire exiting
%------------------------------------------------------------------------------