%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : TOP050-1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:53:32 PM UTC 2026
% Result : Unsatisfiable 3.76s 0.98s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 91
% Number of leaves : 37
% Syntax : Number of formulae : 393 ( 393 unt; 2 def)
% Number of atoms : 393 ( 392 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 36 ( 36 usr; 34 con; 0-31 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : product(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : product(product(X,Y),Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : product(product(X,Y),Z) = product(product(X,Z),product(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
product(a1,a31) = a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
product(a2,a25) = a3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
product(a3,a29) = a4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
product(a4,a11) = a5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
product(a5,a15) = a6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
product(a7,a19) = a8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
product(a8,a5) = a9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
product(a9,a17) = a10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
product(a10,a7) = a11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
product(a11,a5) = a12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
product(a12,a19) = a13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
product(a13,a7) = a14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
product(a14,a17) = a15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
product(a15,a5) = a16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
product(a16,a19) = a17,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
product(a17,a9) = a18,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
product(a18,a15) = a19,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
product(a19,a11) = a20,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
product(a20,a29) = a21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
product(a21,a25) = a22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
product(a22,a31) = a23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
product(a23,a21) = a24,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
product(a24,a3) = a25,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
product(a25,a23) = a26,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
product(a26,a1) = a27,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
product(a27,a21) = a28,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
product(a28,a3) = a29,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
product(a29,a1) = a30,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
product(a30,a23) = a31,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
product(a31,a3) = a32,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
product(a32,a21) = a1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,plain,
! [X0] : product(X0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
! [X0,X1] : product(product(X0,X1),X1) = X0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f38,plain,
! [X0,X1,X2] : product(product(X0,X1),X2) = product(product(X0,X2),product(X1,X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f39,plain,
product(a1,a31) = a2,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f40,plain,
product(a2,a25) = a3,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f41,plain,
product(a3,a29) = a4,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f42,plain,
product(a4,a11) = a5,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f43,plain,
product(a5,a15) = a6,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f44,plain,
product(a7,a19) = a8,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f45,plain,
product(a8,a5) = a9,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f46,plain,
product(a9,a17) = a10,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f47,plain,
product(a10,a7) = a11,
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f48,plain,
product(a11,a5) = a12,
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f49,plain,
product(a12,a19) = a13,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f50,plain,
product(a13,a7) = a14,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f51,plain,
product(a14,a17) = a15,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f52,plain,
product(a15,a5) = a16,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f53,plain,
product(a16,a19) = a17,
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f54,plain,
product(a17,a9) = a18,
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f55,plain,
product(a18,a15) = a19,
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f56,plain,
product(a19,a11) = a20,
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f57,plain,
product(a20,a29) = a21,
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f58,plain,
product(a21,a25) = a22,
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f59,plain,
product(a22,a31) = a23,
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f60,plain,
product(a23,a21) = a24,
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f61,plain,
product(a24,a3) = a25,
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f62,plain,
product(a25,a23) = a26,
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f63,plain,
product(a26,a1) = a27,
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f64,plain,
product(a27,a21) = a28,
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f65,plain,
product(a28,a3) = a29,
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f66,plain,
product(a29,a1) = a30,
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f67,plain,
product(a30,a23) = a31,
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f68,plain,
product(a31,a3) = a32,
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f69,plain,
product(a32,a21) = a1,
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f70,plain,
tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f71,definition,
sF0_fnc = tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f72,definition,
sF1_fnc = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f73,plain,
sF0_fnc != sF1_fnc,
inference(definition_folding,[],[f70,f72,f71]) ).
fof(f75,plain,
product(a20,a11) = a19,
inference(paramodulation,[status(thm)],[f56,f37]) ).
fof(f76,plain,
product(a19,a15) = a18,
inference(paramodulation,[status(thm)],[f55,f37]) ).
fof(f77,plain,
product(a18,a9) = a17,
inference(paramodulation,[status(thm)],[f54,f37]) ).
fof(f79,plain,
product(a16,a5) = a15,
inference(paramodulation,[status(thm)],[f52,f37]) ).
fof(f80,plain,
product(a15,a17) = a14,
inference(paramodulation,[status(thm)],[f51,f37]) ).
fof(f83,plain,
product(a12,a5) = a11,
inference(paramodulation,[status(thm)],[f48,f37]) ).
fof(f84,plain,
product(a11,a7) = a10,
inference(paramodulation,[status(thm)],[f47,f37]) ).
fof(f85,plain,
product(a10,a17) = a9,
inference(paramodulation,[status(thm)],[f46,f37]) ).
fof(f86,plain,
product(a9,a5) = a8,
inference(paramodulation,[status(thm)],[f45,f37]) ).
fof(f87,plain,
product(a8,a19) = a7,
inference(paramodulation,[status(thm)],[f44,f37]) ).
fof(f89,plain,
product(a5,a11) = a4,
inference(paramodulation,[status(thm)],[f42,f37]) ).
fof(f90,plain,
product(a4,a29) = a3,
inference(paramodulation,[status(thm)],[f41,f37]) ).
fof(f92,plain,
product(a2,a31) = a1,
inference(paramodulation,[status(thm)],[f39,f37]) ).
fof(f94,plain,
product(a21,a29) = a20,
inference(paramodulation,[status(thm)],[f57,f37]) ).
fof(f95,plain,
product(a22,a25) = a21,
inference(paramodulation,[status(thm)],[f58,f37]) ).
fof(f96,plain,
product(a23,a31) = a22,
inference(paramodulation,[status(thm)],[f59,f37]) ).
fof(f97,plain,
product(a24,a21) = a23,
inference(paramodulation,[status(thm)],[f60,f37]) ).
fof(f98,plain,
product(a25,a3) = a24,
inference(paramodulation,[status(thm)],[f61,f37]) ).
fof(f99,plain,
product(a26,a23) = a25,
inference(paramodulation,[status(thm)],[f62,f37]) ).
fof(f100,plain,
product(a27,a1) = a26,
inference(paramodulation,[status(thm)],[f63,f37]) ).
fof(f103,plain,
product(a30,a1) = a29,
inference(paramodulation,[status(thm)],[f66,f37]) ).
fof(f104,plain,
product(a31,a23) = a30,
inference(paramodulation,[status(thm)],[f67,f37]) ).
fof(f105,plain,
product(a32,a3) = a31,
inference(paramodulation,[status(thm)],[f68,f37]) ).
fof(f106,plain,
product(a1,a21) = a32,
inference(paramodulation,[status(thm)],[f69,f37]) ).
fof(f113,plain,
! [X0] : product(product(a30,X0),a23) = product(a31,product(X0,a23)),
inference(paramodulation,[status(thm)],[f67,f38]) ).
fof(f115,plain,
! [X0] : product(product(a28,X0),a3) = product(a29,product(X0,a3)),
inference(paramodulation,[status(thm)],[f65,f38]) ).
fof(f116,plain,
! [X0] : product(product(a27,X0),a21) = product(a28,product(X0,a21)),
inference(paramodulation,[status(thm)],[f64,f38]) ).
fof(f133,plain,
! [X0] : product(product(a15,X0),a5) = product(a16,product(X0,a5)),
inference(paramodulation,[status(thm)],[f52,f38]) ).
fof(f147,plain,
! [X0,X1] : product(product(X0,X1),X0) = product(X0,product(X1,X0)),
inference(paramodulation,[status(thm)],[f36,f38]) ).
fof(f150,plain,
! [X0] : product(product(X0,a30),a23) = product(product(X0,a23),a31),
inference(paramodulation,[status(thm)],[f67,f38]) ).
fof(f157,plain,
! [X0] : product(product(X0,a23),a21) = product(product(X0,a21),a24),
inference(paramodulation,[status(thm)],[f60,f38]) ).
fof(f159,plain,
! [X0] : product(product(X0,a21),a25) = product(product(X0,a25),a22),
inference(paramodulation,[status(thm)],[f58,f38]) ).
fof(f182,plain,
! [X0] : product(product(X0,a2),a25) = product(product(X0,a25),a3),
inference(paramodulation,[status(thm)],[f40,f38]) ).
fof(f183,plain,
! [X0] : product(product(X0,a1),a31) = product(product(X0,a31),a2),
inference(paramodulation,[status(thm)],[f39,f38]) ).
fof(f192,plain,
! [X0] : product(product(a16,X0),a5) = product(a15,product(X0,a5)),
inference(paramodulation,[status(thm)],[f79,f38]) ).
fof(f216,plain,
! [X0] : product(product(a8,X0),a19) = product(a7,product(X0,a19)),
inference(paramodulation,[status(thm)],[f87,f38]) ).
fof(f236,plain,
! [X0] : product(product(X0,a22),a25) = product(product(X0,a25),a21),
inference(paramodulation,[status(thm)],[f95,f38]) ).
fof(f239,plain,
! [X0] : product(product(X0,a23),a31) = product(product(X0,a31),a22),
inference(paramodulation,[status(thm)],[f96,f38]) ).
fof(f245,plain,
! [X0] : product(product(X0,a25),a3) = product(product(X0,a3),a24),
inference(paramodulation,[status(thm)],[f98,f38]) ).
fof(f627,plain,
product(a26,a21) = product(a28,product(a1,a21)),
inference(paramodulation,[status(thm)],[f100,f116]) ).
fof(f636,plain,
product(a26,a21) = product(a28,a32),
inference(forward_demodulation,[status(thm)],[f106,f627]) ).
fof(f642,plain,
product(product(a26,a21),a3) = product(a29,product(a32,a3)),
inference(paramodulation,[status(thm)],[f636,f115]) ).
fof(f647,plain,
product(product(a26,a21),a3) = product(a29,a31),
inference(forward_demodulation,[status(thm)],[f105,f642]) ).
fof(f2267,plain,
product(product(a29,a31),a3) = product(a26,a21),
inference(paramodulation,[status(thm)],[f647,f37]) ).
fof(f2879,plain,
product(a14,a5) = product(a16,product(a17,a5)),
inference(paramodulation,[status(thm)],[f80,f133]) ).
fof(f6362,plain,
product(a24,a25) = product(product(a23,a25),a22),
inference(paramodulation,[status(thm)],[f60,f159]) ).
fof(f13310,plain,
product(a17,a5) = product(a15,product(a19,a5)),
inference(paramodulation,[status(thm)],[f53,f192]) ).
fof(f15079,plain,
product(a9,a19) = product(a7,product(a5,a19)),
inference(paramodulation,[status(thm)],[f45,f216]) ).
fof(f17041,plain,
! [X0] : product(product(X0,a30),a23) = product(product(X0,a31),a22),
inference(forward_demodulation,[status(thm)],[f150,f239]) ).
fof(f17325,plain,
! [X0] : product(product(X0,a2),a25) = product(product(X0,a3),a24),
inference(forward_demodulation,[status(thm)],[f182,f245]) ).
fof(f17348,plain,
product(product(product(a29,a31),a2),a25) = product(product(a26,a21),a24),
inference(paramodulation,[status(thm)],[f2267,f17325]) ).
fof(f17398,plain,
product(product(product(a29,a1),a31),a25) = product(product(a26,a21),a24),
inference(forward_demodulation,[status(thm)],[f183,f17348]) ).
fof(f17399,plain,
product(product(a30,a31),a25) = product(product(a26,a21),a24),
inference(forward_demodulation,[status(thm)],[f66,f17398]) ).
fof(f17400,plain,
product(product(a30,a31),a25) = product(product(a26,a23),a21),
inference(forward_demodulation,[status(thm)],[f157,f17399]) ).
fof(f17401,plain,
product(product(a30,a31),a25) = product(a25,a21),
inference(forward_demodulation,[status(thm)],[f99,f17400]) ).
fof(f17690,plain,
product(product(product(a30,a31),a22),a25) = product(product(a25,a21),a21),
inference(paramodulation,[status(thm)],[f17401,f236]) ).
fof(f17704,plain,
product(product(product(a30,a30),a23),a25) = product(product(a25,a21),a21),
inference(forward_demodulation,[status(thm)],[f17041,f17690]) ).
fof(f17705,plain,
product(product(a31,product(a30,a23)),a25) = product(product(a25,a21),a21),
inference(forward_demodulation,[status(thm)],[f113,f17704]) ).
fof(f17706,plain,
product(product(a31,a31),a25) = product(product(a25,a21),a21),
inference(forward_demodulation,[status(thm)],[f67,f17705]) ).
fof(f17707,plain,
product(a31,a25) = product(product(a25,a21),a21),
inference(forward_demodulation,[status(thm)],[f36,f17706]) ).
fof(f17708,plain,
product(a31,a25) = a25,
inference(forward_demodulation,[status(thm)],[f37,f17707]) ).
fof(f17734,plain,
product(a25,a25) = a31,
inference(paramodulation,[status(thm)],[f17708,f37]) ).
fof(f17757,plain,
a25 = a31,
inference(forward_demodulation,[status(thm)],[f36,f17734]) ).
fof(f17759,plain,
product(product(a30,a31),a25) = product(a31,a21),
inference(backward_demodulation,[status(thm)],[f17757,f17401]) ).
fof(f17783,plain,
product(a24,a25) = product(product(a23,a31),a22),
inference(backward_demodulation,[status(thm)],[f17757,f6362]) ).
fof(f17815,plain,
product(a31,a3) = a24,
inference(backward_demodulation,[status(thm)],[f17757,f98]) ).
fof(f17816,plain,
product(a22,a31) = a21,
inference(backward_demodulation,[status(thm)],[f17757,f95]) ).
fof(f17818,plain,
product(a31,a23) = a26,
inference(backward_demodulation,[status(thm)],[f17757,f62]) ).
fof(f17821,plain,
product(a2,a31) = a3,
inference(backward_demodulation,[status(thm)],[f17757,f40]) ).
fof(f17822,plain,
sF1_fnc = tuple(a2,a31,a32,a3,a31,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(backward_demodulation,[status(thm)],[f17757,f72]) ).
fof(f17823,plain,
sF0_fnc = tuple(a1,a30,a31,a2,a24,a31,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
inference(backward_demodulation,[status(thm)],[f17757,f71]) ).
fof(f17825,plain,
product(product(a30,a31),a31) = product(a31,a21),
inference(forward_demodulation,[status(thm)],[f17757,f17759]) ).
fof(f17826,plain,
a30 = product(a31,a21),
inference(forward_demodulation,[status(thm)],[f37,f17825]) ).
fof(f17845,plain,
product(a24,a31) = product(product(a23,a31),a22),
inference(forward_demodulation,[status(thm)],[f17757,f17783]) ).
fof(f17846,plain,
product(a24,a31) = product(product(a23,a30),a23),
inference(forward_demodulation,[status(thm)],[f17041,f17845]) ).
fof(f17847,plain,
product(a24,a31) = product(a23,product(a30,a23)),
inference(forward_demodulation,[status(thm)],[f147,f17846]) ).
fof(f17848,plain,
product(a24,a31) = product(a23,a31),
inference(forward_demodulation,[status(thm)],[f67,f17847]) ).
fof(f17849,plain,
product(a24,a31) = a22,
inference(forward_demodulation,[status(thm)],[f96,f17848]) ).
fof(f17883,plain,
a32 = a24,
inference(forward_demodulation,[status(thm)],[f68,f17815]) ).
fof(f17884,plain,
a23 = a21,
inference(forward_demodulation,[status(thm)],[f59,f17816]) ).
fof(f17885,plain,
a30 = a26,
inference(forward_demodulation,[status(thm)],[f104,f17818]) ).
fof(f17886,plain,
a1 = a3,
inference(forward_demodulation,[status(thm)],[f92,f17821]) ).
fof(f17910,plain,
product(a32,a21) = a23,
inference(backward_demodulation,[status(thm)],[f17883,f97]) ).
fof(f17911,plain,
product(a23,a21) = a32,
inference(backward_demodulation,[status(thm)],[f17883,f60]) ).
fof(f17921,plain,
a1 = a23,
inference(forward_demodulation,[status(thm)],[f69,f17910]) ).
fof(f17956,plain,
product(a23,a29) = a20,
inference(backward_demodulation,[status(thm)],[f17884,f94]) ).
fof(f17958,plain,
product(a27,a23) = a28,
inference(backward_demodulation,[status(thm)],[f17884,f64]) ).
fof(f17999,plain,
product(a31,a23) = a26,
inference(backward_demodulation,[status(thm)],[f17885,f104]) ).
fof(f18000,plain,
product(a26,a1) = a29,
inference(backward_demodulation,[status(thm)],[f17885,f103]) ).
fof(f18002,plain,
product(a29,a1) = a26,
inference(backward_demodulation,[status(thm)],[f17885,f66]) ).
fof(f18015,plain,
a27 = a29,
inference(forward_demodulation,[status(thm)],[f63,f18000]) ).
fof(f18040,plain,
product(a32,a1) = a31,
inference(backward_demodulation,[status(thm)],[f17886,f105]) ).
fof(f18042,plain,
product(a4,a29) = a1,
inference(backward_demodulation,[status(thm)],[f17886,f90]) ).
fof(f18058,plain,
a1 = a21,
inference(backward_demodulation,[status(thm)],[f17921,f17884]) ).
fof(f18063,plain,
product(a1,a31) = a22,
inference(backward_demodulation,[status(thm)],[f17921,f96]) ).
fof(f18069,plain,
a2 = a22,
inference(forward_demodulation,[status(thm)],[f39,f18063]) ).
fof(f18119,plain,
a26 = product(a31,a21),
inference(forward_demodulation,[status(thm)],[f17885,f17826]) ).
fof(f18121,plain,
a26 = product(a31,a1),
inference(forward_demodulation,[status(thm)],[f18058,f18119]) ).
fof(f18133,plain,
product(a26,a1) = a31,
inference(paramodulation,[status(thm)],[f18121,f37]) ).
fof(f18143,plain,
a27 = a31,
inference(forward_demodulation,[status(thm)],[f63,f18133]) ).
fof(f18180,plain,
product(a32,a31) = a22,
inference(forward_demodulation,[status(thm)],[f17883,f17849]) ).
fof(f18181,plain,
product(a32,a27) = a22,
inference(forward_demodulation,[status(thm)],[f18143,f18180]) ).
fof(f18182,plain,
product(a32,a27) = a2,
inference(forward_demodulation,[status(thm)],[f18069,f18181]) ).
fof(f18206,plain,
product(a1,a21) = a32,
inference(forward_demodulation,[status(thm)],[f17921,f17911]) ).
fof(f18207,plain,
product(a1,a1) = a32,
inference(forward_demodulation,[status(thm)],[f18058,f18206]) ).
fof(f18209,plain,
a32 = a21,
inference(backward_demodulation,[status(thm)],[f18218,f18058]) ).
fof(f18210,plain,
a32 = a23,
inference(backward_demodulation,[status(thm)],[f18218,f17921]) ).
fof(f18211,plain,
a32 = a3,
inference(backward_demodulation,[status(thm)],[f18218,f17886]) ).
fof(f18218,plain,
a1 = a32,
inference(forward_demodulation,[status(thm)],[f36,f18207]) ).
fof(f18221,plain,
sF1_fnc = tuple(a2,a27,a32,a3,a31,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(forward_demodulation,[status(thm)],[f18143,f17822]) ).
fof(f18222,plain,
sF1_fnc = tuple(a2,a27,a32,a32,a31,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(forward_demodulation,[status(thm)],[f18211,f18221]) ).
fof(f18223,plain,
sF1_fnc = tuple(a2,a27,a32,a32,a27,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(forward_demodulation,[status(thm)],[f18143,f18222]) ).
fof(f18224,plain,
sF1_fnc = tuple(a2,a27,a32,a32,a27,a26,a4,a27,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(forward_demodulation,[status(thm)],[f18015,f18223]) ).
fof(f18225,plain,
sF1_fnc = tuple(a2,a27,a32,a32,a27,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(forward_demodulation,[status(thm)],[f17885,f18224]) ).
fof(f18226,plain,
sF1_fnc = tuple(a2,a27,a32,a32,a27,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a22,a23,a24,a27,a28),
inference(forward_demodulation,[status(thm)],[f18209,f18225]) ).
fof(f18227,plain,
sF1_fnc = tuple(a2,a27,a32,a32,a27,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a23,a24,a27,a28),
inference(forward_demodulation,[status(thm)],[f18069,f18226]) ).
fof(f18228,plain,
sF1_fnc = tuple(a2,a27,a32,a32,a27,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a24,a27,a28),
inference(forward_demodulation,[status(thm)],[f18210,f18227]) ).
fof(f18229,plain,
sF1_fnc = tuple(a2,a27,a32,a32,a27,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a28),
inference(forward_demodulation,[status(thm)],[f17883,f18228]) ).
fof(f18230,plain,
sF0_fnc = tuple(a32,a30,a31,a2,a24,a31,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
inference(forward_demodulation,[status(thm)],[f18218,f17823]) ).
fof(f18231,plain,
sF0_fnc = tuple(a32,a26,a31,a2,a24,a31,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
inference(forward_demodulation,[status(thm)],[f17885,f18230]) ).
fof(f18232,plain,
sF0_fnc = tuple(a32,a26,a27,a2,a24,a31,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
inference(forward_demodulation,[status(thm)],[f18143,f18231]) ).
fof(f18233,plain,
sF0_fnc = tuple(a32,a26,a27,a2,a32,a31,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
inference(forward_demodulation,[status(thm)],[f17883,f18232]) ).
fof(f18234,plain,
sF0_fnc = tuple(a32,a26,a27,a2,a32,a27,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
inference(forward_demodulation,[status(thm)],[f18143,f18233]) ).
fof(f18235,plain,
sF0_fnc = tuple(a32,a26,a27,a2,a32,a27,a32,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
inference(forward_demodulation,[status(thm)],[f18211,f18234]) ).
fof(f18236,plain,
sF0_fnc = tuple(a32,a26,a27,a2,a32,a27,a32,a28,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
inference(forward_demodulation,[status(thm)],[f18015,f18235]) ).
fof(f18237,plain,
sF0_fnc = tuple(a32,a26,a27,a2,a32,a27,a32,a28,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a22,a23,a26,a27),
inference(forward_demodulation,[status(thm)],[f18209,f18236]) ).
fof(f18238,plain,
sF0_fnc = tuple(a32,a26,a27,a2,a32,a27,a32,a28,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a23,a26,a27),
inference(forward_demodulation,[status(thm)],[f18069,f18237]) ).
fof(f18239,plain,
sF0_fnc = tuple(a32,a26,a27,a2,a32,a27,a32,a28,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a26,a27),
inference(forward_demodulation,[status(thm)],[f18210,f18238]) ).
fof(f18259,plain,
product(a32,a29) = a20,
inference(forward_demodulation,[status(thm)],[f18210,f17956]) ).
fof(f18260,plain,
product(a32,a27) = a20,
inference(forward_demodulation,[status(thm)],[f18015,f18259]) ).
fof(f18261,plain,
sF0_fnc = tuple(a32,a26,a27,a2,a32,a27,a32,a28,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a2,a32,a2,a32,a26,a27),
inference(backward_demodulation,[status(thm)],[f18285,f18239]) ).
fof(f18262,plain,
sF1_fnc = tuple(a2,a27,a32,a32,a27,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a2,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a28),
inference(backward_demodulation,[status(thm)],[f18285,f18229]) ).
fof(f18283,plain,
product(a2,a11) = a19,
inference(backward_demodulation,[status(thm)],[f18285,f75]) ).
fof(f18285,plain,
a2 = a20,
inference(forward_demodulation,[status(thm)],[f18182,f18260]) ).
fof(f18288,plain,
product(a27,a32) = a28,
inference(forward_demodulation,[status(thm)],[f18210,f17958]) ).
fof(f18322,plain,
product(a27,a23) = a26,
inference(forward_demodulation,[status(thm)],[f18143,f17999]) ).
fof(f18323,plain,
product(a27,a32) = a26,
inference(forward_demodulation,[status(thm)],[f18210,f18322]) ).
fof(f18325,plain,
sF1_fnc = tuple(a2,a27,a32,a32,a27,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a2,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a26),
inference(backward_demodulation,[status(thm)],[f18328,f18262]) ).
fof(f18326,plain,
sF0_fnc = tuple(a32,a26,a27,a2,a32,a27,a32,a26,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a2,a32,a2,a32,a26,a27),
inference(backward_demodulation,[status(thm)],[f18328,f18261]) ).
fof(f18328,plain,
a28 = a26,
inference(forward_demodulation,[status(thm)],[f18288,f18323]) ).
fof(f18345,plain,
product(a27,a1) = a26,
inference(forward_demodulation,[status(thm)],[f18015,f18002]) ).
fof(f18346,plain,
product(a27,a32) = a26,
inference(forward_demodulation,[status(thm)],[f18218,f18345]) ).
fof(f18362,plain,
product(a32,a32) = a31,
inference(forward_demodulation,[status(thm)],[f18218,f18040]) ).
fof(f18363,plain,
a32 = a31,
inference(forward_demodulation,[status(thm)],[f36,f18362]) ).
fof(f18364,plain,
product(a32,a32) = a26,
inference(backward_demodulation,[status(thm)],[f18371,f18346]) ).
fof(f18367,plain,
product(a32,a32) = a2,
inference(backward_demodulation,[status(thm)],[f18371,f18182]) ).
fof(f18370,plain,
a32 = a29,
inference(backward_demodulation,[status(thm)],[f18371,f18015]) ).
fof(f18371,plain,
a32 = a27,
inference(forward_demodulation,[status(thm)],[f18143,f18363]) ).
fof(f18372,plain,
a32 = a26,
inference(forward_demodulation,[status(thm)],[f36,f18364]) ).
fof(f18373,plain,
a32 = a2,
inference(forward_demodulation,[status(thm)],[f36,f18367]) ).
fof(f18386,plain,
product(a4,a32) = a1,
inference(forward_demodulation,[status(thm)],[f18370,f18042]) ).
fof(f18387,plain,
product(a4,a32) = a32,
inference(forward_demodulation,[status(thm)],[f18218,f18386]) ).
fof(f18399,plain,
product(a32,a32) = a4,
inference(paramodulation,[status(thm)],[f18387,f37]) ).
fof(f18411,plain,
a32 = a4,
inference(forward_demodulation,[status(thm)],[f36,f18399]) ).
fof(f18442,plain,
product(a5,a11) = a32,
inference(backward_demodulation,[status(thm)],[f18411,f89]) ).
fof(f18476,plain,
product(a32,a11) = a19,
inference(forward_demodulation,[status(thm)],[f18373,f18283]) ).
fof(f18509,plain,
sF1_fnc = tuple(a32,a27,a32,a32,a27,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a2,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a26),
inference(forward_demodulation,[status(thm)],[f18373,f18325]) ).
fof(f18510,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a27,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a2,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a26),
inference(forward_demodulation,[status(thm)],[f18371,f18509]) ).
fof(f18511,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a2,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a26),
inference(forward_demodulation,[status(thm)],[f18371,f18510]) ).
fof(f18512,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a2,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a26),
inference(forward_demodulation,[status(thm)],[f18372,f18511]) ).
fof(f18513,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a2,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a26),
inference(forward_demodulation,[status(thm)],[f18411,f18512]) ).
fof(f18514,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a2,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a26),
inference(forward_demodulation,[status(thm)],[f18371,f18513]) ).
fof(f18515,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a2,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a26),
inference(forward_demodulation,[status(thm)],[f18372,f18514]) ).
fof(f18516,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a32,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a26),
inference(forward_demodulation,[status(thm)],[f18373,f18515]) ).
fof(f18517,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a32,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a27,a26),
inference(forward_demodulation,[status(thm)],[f18373,f18516]) ).
fof(f18518,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a32,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a26),
inference(forward_demodulation,[status(thm)],[f18371,f18517]) ).
fof(f18519,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a32,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18372,f18518]) ).
fof(f18520,plain,
sF0_fnc = tuple(a32,a32,a27,a2,a32,a27,a32,a26,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a2,a32,a2,a32,a26,a27),
inference(forward_demodulation,[status(thm)],[f18372,f18326]) ).
fof(f18521,plain,
sF0_fnc = tuple(a32,a32,a32,a2,a32,a27,a32,a26,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a2,a32,a2,a32,a26,a27),
inference(forward_demodulation,[status(thm)],[f18371,f18520]) ).
fof(f18522,plain,
sF0_fnc = tuple(a32,a32,a32,a32,a32,a27,a32,a26,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a2,a32,a2,a32,a26,a27),
inference(forward_demodulation,[status(thm)],[f18373,f18521]) ).
fof(f18523,plain,
sF0_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a26,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a2,a32,a2,a32,a26,a27),
inference(forward_demodulation,[status(thm)],[f18371,f18522]) ).
fof(f18524,plain,
sF0_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a2,a32,a2,a32,a26,a27),
inference(forward_demodulation,[status(thm)],[f18372,f18523]) ).
fof(f18525,plain,
sF0_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a2,a32,a2,a32,a26,a27),
inference(forward_demodulation,[status(thm)],[f18371,f18524]) ).
fof(f18526,plain,
sF0_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a2,a32,a2,a32,a26,a27),
inference(forward_demodulation,[status(thm)],[f18411,f18525]) ).
fof(f18527,plain,
sF0_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a32,a32,a2,a32,a26,a27),
inference(forward_demodulation,[status(thm)],[f18373,f18526]) ).
fof(f18528,plain,
sF0_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a32,a32,a32,a32,a26,a27),
inference(forward_demodulation,[status(thm)],[f18373,f18527]) ).
fof(f18529,plain,
sF0_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a32,a32,a32,a32,a32,a27),
inference(forward_demodulation,[status(thm)],[f18372,f18528]) ).
fof(f18530,plain,
sF0_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18371,f18529]) ).
fof(f18549,plain,
product(a32,a11) = a5,
inference(paramodulation,[status(thm)],[f18442,f37]) ).
fof(f18558,plain,
a19 = a5,
inference(forward_demodulation,[status(thm)],[f18476,f18549]) ).
fof(f18559,plain,
sF0_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a5,a8,a9,a16,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(backward_demodulation,[status(thm)],[f18558,f18530]) ).
fof(f18560,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a5,a32,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32),
inference(backward_demodulation,[status(thm)],[f18558,f18519]) ).
fof(f18563,plain,
product(a9,a19) = product(a7,product(a5,a5)),
inference(backward_demodulation,[status(thm)],[f18558,f15079]) ).
fof(f18569,plain,
product(a17,a5) = product(a15,product(a5,a5)),
inference(backward_demodulation,[status(thm)],[f18558,f13310]) ).
fof(f18604,plain,
product(a8,a5) = a7,
inference(backward_demodulation,[status(thm)],[f18558,f87]) ).
fof(f18607,plain,
product(a5,a15) = a18,
inference(backward_demodulation,[status(thm)],[f18558,f76]) ).
fof(f18608,plain,
product(a18,a15) = a5,
inference(backward_demodulation,[status(thm)],[f18558,f55]) ).
fof(f18609,plain,
product(a16,a5) = a17,
inference(backward_demodulation,[status(thm)],[f18558,f53]) ).
fof(f18610,plain,
product(a12,a5) = a13,
inference(backward_demodulation,[status(thm)],[f18558,f49]) ).
fof(f18612,plain,
product(a9,a5) = product(a7,product(a5,a5)),
inference(forward_demodulation,[status(thm)],[f18558,f18563]) ).
fof(f18613,plain,
a8 = product(a7,product(a5,a5)),
inference(forward_demodulation,[status(thm)],[f86,f18612]) ).
fof(f18614,plain,
a8 = product(a7,a5),
inference(forward_demodulation,[status(thm)],[f36,f18613]) ).
fof(f18622,plain,
product(a17,a5) = product(a15,a5),
inference(forward_demodulation,[status(thm)],[f36,f18569]) ).
fof(f18623,plain,
product(a17,a5) = a16,
inference(forward_demodulation,[status(thm)],[f52,f18622]) ).
fof(f18663,plain,
a9 = a7,
inference(forward_demodulation,[status(thm)],[f45,f18604]) ).
fof(f18664,plain,
a6 = a18,
inference(forward_demodulation,[status(thm)],[f43,f18607]) ).
fof(f18665,plain,
a15 = a17,
inference(forward_demodulation,[status(thm)],[f79,f18609]) ).
fof(f18666,plain,
a11 = a13,
inference(forward_demodulation,[status(thm)],[f83,f18610]) ).
fof(f18667,plain,
sF0_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a5,a8,a7,a16,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(backward_demodulation,[status(thm)],[f18663,f18559]) ).
fof(f18701,plain,
product(a10,a17) = a7,
inference(backward_demodulation,[status(thm)],[f18663,f85]) ).
fof(f18702,plain,
product(a18,a7) = a17,
inference(backward_demodulation,[status(thm)],[f18663,f77]) ).
fof(f18703,plain,
product(a17,a7) = a18,
inference(backward_demodulation,[status(thm)],[f18663,f54]) ).
fof(f18757,plain,
product(a14,a5) = product(a16,product(a15,a5)),
inference(backward_demodulation,[status(thm)],[f18665,f2879]) ).
fof(f18761,plain,
product(a15,a15) = a14,
inference(backward_demodulation,[status(thm)],[f18665,f80]) ).
fof(f18775,plain,
product(a14,a5) = product(a16,a16),
inference(forward_demodulation,[status(thm)],[f52,f18757]) ).
fof(f18776,plain,
product(a14,a5) = a16,
inference(forward_demodulation,[status(thm)],[f36,f18775]) ).
fof(f18780,plain,
a15 = a14,
inference(forward_demodulation,[status(thm)],[f36,f18761]) ).
fof(f18781,plain,
product(a5,a13) = a32,
inference(backward_demodulation,[status(thm)],[f18666,f18442]) ).
fof(f18795,plain,
product(a13,a7) = a10,
inference(backward_demodulation,[status(thm)],[f18666,f84]) ).
fof(f18797,plain,
product(a13,a5) = a12,
inference(backward_demodulation,[status(thm)],[f18666,f48]) ).
fof(f18798,plain,
product(a10,a7) = a13,
inference(backward_demodulation,[status(thm)],[f18666,f47]) ).
fof(f18804,plain,
a14 = a10,
inference(forward_demodulation,[status(thm)],[f50,f18795]) ).
fof(f18805,plain,
a14 = a17,
inference(backward_demodulation,[status(thm)],[f18780,f18665]) ).
fof(f18833,plain,
a15 = a10,
inference(backward_demodulation,[status(thm)],[f18804,f18780]) ).
fof(f18844,plain,
a10 = a17,
inference(forward_demodulation,[status(thm)],[f18804,f18805]) ).
fof(f18889,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a15,a16,a7,a8,a5,a32,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18666,f18560]) ).
fof(f18890,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a10,a16,a7,a8,a5,a32,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18833,f18889]) ).
fof(f18891,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a10,a16,a7,a8,a5,a32,a7,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18663,f18890]) ).
fof(f18892,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a10,a16,a7,a8,a5,a32,a7,a10,a10,a18,a13,a14,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18844,f18891]) ).
fof(f18893,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a10,a16,a7,a8,a5,a32,a7,a10,a10,a6,a13,a14,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18664,f18892]) ).
fof(f18894,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a10,a16,a7,a8,a5,a32,a7,a10,a10,a6,a13,a10,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18804,f18893]) ).
fof(f18895,plain,
product(a6,a15) = a5,
inference(forward_demodulation,[status(thm)],[f18664,f18608]) ).
fof(f18896,plain,
product(a6,a10) = a5,
inference(forward_demodulation,[status(thm)],[f18833,f18895]) ).
fof(f18925,plain,
product(a10,a5) = a16,
inference(forward_demodulation,[status(thm)],[f18844,f18623]) ).
fof(f18958,plain,
product(a10,a10) = a7,
inference(forward_demodulation,[status(thm)],[f18844,f18701]) ).
fof(f18960,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a10,a16,a7,a8,a5,a32,a10,a10,a10,a6,a13,a10,a32,a32,a32,a32,a32,a32),
inference(backward_demodulation,[status(thm)],[f18964,f18894]) ).
fof(f18961,plain,
a8 = product(a10,a5),
inference(backward_demodulation,[status(thm)],[f18964,f18614]) ).
fof(f18964,plain,
a10 = a7,
inference(forward_demodulation,[status(thm)],[f36,f18958]) ).
fof(f18965,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a10,a16,a10,a8,a5,a32,a10,a10,a10,a6,a13,a10,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18964,f18960]) ).
fof(f18966,plain,
a8 = a16,
inference(forward_demodulation,[status(thm)],[f18925,f18961]) ).
fof(f18973,plain,
product(a6,a7) = a17,
inference(forward_demodulation,[status(thm)],[f18664,f18702]) ).
fof(f18974,plain,
product(a6,a10) = a17,
inference(forward_demodulation,[status(thm)],[f18964,f18973]) ).
fof(f18975,plain,
a5 = a17,
inference(forward_demodulation,[status(thm)],[f18896,f18974]) ).
fof(f18981,plain,
a5 = a10,
inference(forward_demodulation,[status(thm)],[f18844,f18975]) ).
fof(f18982,plain,
product(a10,a7) = a18,
inference(forward_demodulation,[status(thm)],[f18844,f18703]) ).
fof(f18983,plain,
product(a10,a10) = a18,
inference(forward_demodulation,[status(thm)],[f18964,f18982]) ).
fof(f18984,plain,
a10 = a18,
inference(forward_demodulation,[status(thm)],[f36,f18983]) ).
fof(f18986,plain,
a5 = a6,
inference(backward_demodulation,[status(thm)],[f18992,f18981]) ).
fof(f18988,plain,
a6 = a7,
inference(backward_demodulation,[status(thm)],[f18992,f18964]) ).
fof(f18989,plain,
a15 = a6,
inference(backward_demodulation,[status(thm)],[f18992,f18833]) ).
fof(f18990,plain,
a6 = a17,
inference(backward_demodulation,[status(thm)],[f18992,f18844]) ).
fof(f18991,plain,
a14 = a6,
inference(backward_demodulation,[status(thm)],[f18992,f18804]) ).
fof(f18992,plain,
a10 = a6,
inference(forward_demodulation,[status(thm)],[f18664,f18984]) ).
fof(f18993,plain,
sF0_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a11,a5,a14,a15,a6,a7,a18,a5,a8,a7,a16,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18992,f18667]) ).
fof(f18994,plain,
sF0_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a13,a5,a14,a15,a6,a7,a18,a5,a8,a7,a16,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18666,f18993]) ).
fof(f18995,plain,
sF0_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a13,a5,a14,a15,a6,a7,a6,a5,a8,a7,a16,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18664,f18994]) ).
fof(f18996,plain,
sF0_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a13,a5,a14,a15,a6,a7,a6,a5,a8,a7,a8,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18966,f18995]) ).
fof(f19024,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a6,a16,a10,a8,a5,a32,a10,a10,a10,a6,a13,a10,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18992,f18965]) ).
fof(f19025,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a6,a8,a10,a8,a5,a32,a10,a10,a10,a6,a13,a10,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18966,f19024]) ).
fof(f19026,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a6,a8,a6,a8,a5,a32,a10,a10,a10,a6,a13,a10,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18992,f19025]) ).
fof(f19027,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a6,a8,a6,a8,a5,a32,a6,a10,a10,a6,a13,a10,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18992,f19026]) ).
fof(f19028,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a6,a8,a6,a8,a5,a32,a6,a6,a10,a6,a13,a10,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18992,f19027]) ).
fof(f19029,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a6,a8,a6,a8,a5,a32,a6,a6,a6,a6,a13,a10,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18992,f19028]) ).
fof(f19030,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a6,a8,a6,a8,a5,a32,a6,a6,a6,a6,a13,a6,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18992,f19029]) ).
fof(f19031,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a6,a8,a6,a8,a6,a32,a6,a6,a6,a6,a13,a6,a32,a32,a32,a32,a32,a32),
inference(backward_demodulation,[status(thm)],[f18986,f19030]) ).
fof(f19033,plain,
sF0_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a13,a5,a14,a15,a6,a7,a6,a6,a8,a7,a8,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(backward_demodulation,[status(thm)],[f18986,f18996]) ).
fof(f19034,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a13,a12,a6,a6,a8,a6,a8,a6,a32,a6,a6,a6,a6,a13,a6,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18986,f19031]) ).
fof(f19035,plain,
sF0_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a13,a6,a14,a15,a6,a7,a6,a6,a8,a7,a8,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18986,f19033]) ).
fof(f19036,plain,
sF0_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a13,a6,a14,a15,a6,a7,a6,a6,a8,a6,a8,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(backward_demodulation,[status(thm)],[f18988,f19035]) ).
fof(f19038,plain,
sF0_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a13,a6,a14,a15,a6,a6,a6,a6,a8,a6,a8,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18988,f19036]) ).
fof(f19039,plain,
sF0_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a13,a6,a14,a6,a6,a6,a6,a6,a8,a6,a8,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(backward_demodulation,[status(thm)],[f18989,f19038]) ).
fof(f19043,plain,
product(a6,a5) = a16,
inference(forward_demodulation,[status(thm)],[f18991,f18776]) ).
fof(f19044,plain,
product(a6,a6) = a16,
inference(forward_demodulation,[status(thm)],[f18986,f19043]) ).
fof(f19045,plain,
a6 = a16,
inference(forward_demodulation,[status(thm)],[f36,f19044]) ).
fof(f19046,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a13,a12,a6,a6,a8,a6,a6,a6,a32,a6,a6,a6,a6,a13,a6,a32,a32,a32,a32,a32,a32),
inference(backward_demodulation,[status(thm)],[f19048,f19034]) ).
fof(f19048,plain,
a6 = a8,
inference(forward_demodulation,[status(thm)],[f18966,f19045]) ).
fof(f19049,plain,
sF1_fnc = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a13,a12,a6,a6,a6,a6,a6,a6,a32,a6,a6,a6,a6,a13,a6,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19048,f19046]) ).
fof(f19056,plain,
product(a6,a13) = a32,
inference(forward_demodulation,[status(thm)],[f18986,f18781]) ).
fof(f19085,plain,
product(a13,a6) = a12,
inference(forward_demodulation,[status(thm)],[f18986,f18797]) ).
fof(f19101,plain,
product(a6,a7) = a13,
inference(forward_demodulation,[status(thm)],[f18992,f18798]) ).
fof(f19102,plain,
product(a6,a6) = a13,
inference(forward_demodulation,[status(thm)],[f18988,f19101]) ).
fof(f19103,plain,
product(a6,a6) = a12,
inference(backward_demodulation,[status(thm)],[f19107,f19085]) ).
fof(f19105,plain,
product(a6,a6) = a32,
inference(backward_demodulation,[status(thm)],[f19107,f19056]) ).
fof(f19107,plain,
a6 = a13,
inference(forward_demodulation,[status(thm)],[f36,f19102]) ).
fof(f19108,plain,
a6 = a12,
inference(forward_demodulation,[status(thm)],[f36,f19103]) ).
fof(f19109,plain,
a6 = a32,
inference(forward_demodulation,[status(thm)],[f36,f19105]) ).
fof(f19139,plain,
sF0_fnc = tuple(a6,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a13,a6,a14,a6,a6,a6,a6,a6,a8,a6,a8,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19039]) ).
fof(f19140,plain,
sF0_fnc = tuple(a6,a6,a32,a32,a32,a32,a32,a32,a32,a32,a6,a13,a6,a14,a6,a6,a6,a6,a6,a8,a6,a8,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19139]) ).
fof(f19141,plain,
sF0_fnc = tuple(a6,a6,a6,a32,a32,a32,a32,a32,a32,a32,a6,a13,a6,a14,a6,a6,a6,a6,a6,a8,a6,a8,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19140]) ).
fof(f19142,plain,
sF0_fnc = tuple(a6,a6,a6,a6,a32,a32,a32,a32,a32,a32,a6,a13,a6,a14,a6,a6,a6,a6,a6,a8,a6,a8,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19141]) ).
fof(f19143,plain,
sF0_fnc = tuple(a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a6,a13,a6,a14,a6,a6,a6,a6,a6,a8,a6,a8,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19142]) ).
fof(f19144,plain,
sF0_fnc = tuple(a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a6,a13,a6,a14,a6,a6,a6,a6,a6,a8,a6,a8,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19143]) ).
fof(f19145,plain,
sF0_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a32,a32,a32,a6,a13,a6,a14,a6,a6,a6,a6,a6,a8,a6,a8,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19144]) ).
fof(f19146,plain,
sF0_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a32,a32,a6,a13,a6,a14,a6,a6,a6,a6,a6,a8,a6,a8,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19145]) ).
fof(f19147,plain,
sF0_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a6,a13,a6,a14,a6,a6,a6,a6,a6,a8,a6,a8,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19146]) ).
fof(f19148,plain,
sF0_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a13,a6,a14,a6,a6,a6,a6,a6,a8,a6,a8,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19147]) ).
fof(f19149,plain,
sF0_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a14,a6,a6,a6,a6,a6,a8,a6,a8,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19107,f19148]) ).
fof(f19150,plain,
sF0_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a8,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18991,f19149]) ).
fof(f19151,plain,
sF0_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19048,f19150]) ).
fof(f19152,plain,
sF0_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19048,f19151]) ).
fof(f19153,plain,
sF0_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a12,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f18990,f19152]) ).
fof(f19154,plain,
sF0_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a13,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19108,f19153]) ).
fof(f19155,plain,
sF0_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19107,f19154]) ).
fof(f19156,plain,
sF0_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19155]) ).
fof(f19157,plain,
sF0_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19156]) ).
fof(f19158,plain,
sF0_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19157]) ).
fof(f19159,plain,
sF0_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19158]) ).
fof(f19160,plain,
sF0_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19159]) ).
fof(f19161,plain,
sF0_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(forward_demodulation,[status(thm)],[f19109,f19160]) ).
fof(f19162,plain,
sF1_fnc = tuple(a6,a32,a32,a32,a32,a32,a32,a32,a32,a6,a13,a12,a6,a6,a6,a6,a6,a6,a32,a6,a6,a6,a6,a13,a6,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19049]) ).
fof(f19163,plain,
sF1_fnc = tuple(a6,a6,a32,a32,a32,a32,a32,a32,a32,a6,a13,a12,a6,a6,a6,a6,a6,a6,a32,a6,a6,a6,a6,a13,a6,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19162]) ).
fof(f19164,plain,
sF1_fnc = tuple(a6,a6,a6,a32,a32,a32,a32,a32,a32,a6,a13,a12,a6,a6,a6,a6,a6,a6,a32,a6,a6,a6,a6,a13,a6,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19163]) ).
fof(f19165,plain,
sF1_fnc = tuple(a6,a6,a6,a6,a32,a32,a32,a32,a32,a6,a13,a12,a6,a6,a6,a6,a6,a6,a32,a6,a6,a6,a6,a13,a6,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19164]) ).
fof(f19166,plain,
sF1_fnc = tuple(a6,a6,a6,a6,a6,a32,a32,a32,a32,a6,a13,a12,a6,a6,a6,a6,a6,a6,a32,a6,a6,a6,a6,a13,a6,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19165]) ).
fof(f19167,plain,
sF1_fnc = tuple(a6,a6,a6,a6,a6,a6,a32,a32,a32,a6,a13,a12,a6,a6,a6,a6,a6,a6,a32,a6,a6,a6,a6,a13,a6,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19166]) ).
fof(f19168,plain,
sF1_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a32,a32,a6,a13,a12,a6,a6,a6,a6,a6,a6,a32,a6,a6,a6,a6,a13,a6,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19167]) ).
fof(f19169,plain,
sF1_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a32,a6,a13,a12,a6,a6,a6,a6,a6,a6,a32,a6,a6,a6,a6,a13,a6,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19168]) ).
fof(f19170,plain,
sF1_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a13,a12,a6,a6,a6,a6,a6,a6,a32,a6,a6,a6,a6,a13,a6,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19169]) ).
fof(f19171,plain,
sF1_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a12,a6,a6,a6,a6,a6,a6,a32,a6,a6,a6,a6,a13,a6,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19107,f19170]) ).
fof(f19172,plain,
sF1_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a6,a6,a6,a6,a13,a6,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19108,f19171]) ).
fof(f19173,plain,
sF1_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a13,a6,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19172]) ).
fof(f19174,plain,
sF1_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19107,f19173]) ).
fof(f19175,plain,
sF1_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19174]) ).
fof(f19176,plain,
sF1_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19175]) ).
fof(f19177,plain,
sF1_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19176]) ).
fof(f19178,plain,
sF1_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19177]) ).
fof(f19179,plain,
sF1_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a32),
inference(forward_demodulation,[status(thm)],[f19109,f19178]) ).
fof(f19180,plain,
sF1_fnc = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(forward_demodulation,[status(thm)],[f19109,f19179]) ).
fof(f19181,plain,
sF1_fnc = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f19161,f19180]) ).
fof(f19182,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f19181,f73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : TOP050-1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.42 % Computer : n009.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Mon Sep 21 12:47:27 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.43 % Drodi V4.1.1
% 3.76/0.98 % Refutation found
% 3.76/0.98 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.76/0.98 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.76/1.03 % Elapsed time: 0.588729 seconds
% 3.76/1.03 % CPU time: 4.417085 seconds
% 3.76/1.03 % Total memory used: 116.045 MB
% 3.76/1.03 % Net memory used: 114.205 MB
%------------------------------------------------------------------------------