%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP683+1 : TPTP v9.3.1. Released v4.0.0.
% 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 10:15:35 AM UTC 2026
% Result : Theorem 12.09s 2.66s
% Output : Refutation 13.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 81
% Number of leaves : 17
% Syntax : Number of formulae : 421 ( 409 unt; 9 def)
% Number of atoms : 433 ( 418 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 8 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 1019 ( 0 sgn1016 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ld(X0,mult(X0,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0] : rd(mult(X0,X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(X1,ld(X1,X0)) = ld(X1,mult(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : mult(rd(X1,X0),X0) = rd(mult(X1,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X0,X1,X2,X3] : ld(ld(X3,X2),mult(ld(X3,X2),mult(X1,X0))) = mult(ld(X3,mult(X3,X1)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X0,X1,X2,X3] : rd(mult(mult(X3,X2),rd(X1,X0)),rd(X1,X0)) = mult(X3,rd(mult(X2,X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f7,axiom,
! [X0,X1] : ld(X1,mult(X1,ld(X0,X0))) = rd(mult(rd(X1,X1),X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
fof(f8,conjecture,
! [X0,X1,X2] :
( mult(X0,ld(X1,mult(X1,X2))) = mult(X0,X2)
& mult(rd(mult(X0,X1),X1),X2) = mult(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f9,negated_conjecture,
~ ! [X0,X1,X2] :
( mult(X0,ld(X1,mult(X1,X2))) = mult(X0,X2)
& mult(rd(mult(X0,X1),X1),X2) = mult(X0,X2) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
? [X0,X1,X2] :
( mult(X0,ld(X1,mult(X1,X2))) != mult(X0,X2)
| mult(X0,X2) != mult(rd(mult(X0,X1),X1),X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f11,plain,
( mult(sK0,ld(sK1,mult(sK1,sK2))) != mult(sK0,sK2)
| mult(sK0,sK2) != mult(rd(mult(sK0,sK1),sK1),sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f10]) ).
fof(f12,plain,
! [X0] : ld(X0,mult(X0,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f13,plain,
! [X0] : rd(mult(X0,X0),X0) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f14,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = ld(X1,mult(X1,X0)),
inference(cnf_transformation,[],[f3]) ).
fof(f15,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = rd(mult(X1,X0),X0),
inference(cnf_transformation,[],[f4]) ).
fof(f16,plain,
! [X2,X3,X0,X1] : ld(ld(X3,X2),mult(ld(X3,X2),mult(X1,X0))) = mult(ld(X3,mult(X3,X1)),X0),
inference(cnf_transformation,[],[f5]) ).
fof(f17,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X3,X2),rd(X1,X0)),rd(X1,X0)) = mult(X3,rd(mult(X2,X0),X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f18,plain,
! [X0,X1] : ld(X1,mult(X1,ld(X0,X0))) = rd(mult(rd(X1,X1),X0),X0),
inference(cnf_transformation,[],[f7]) ).
fof(f19,plain,
( mult(sK0,ld(sK1,mult(sK1,sK2))) != mult(sK0,sK2)
| mult(sK0,sK2) != mult(rd(mult(sK0,sK1),sK1),sK2) ),
inference(cnf_transformation,[],[f11]) ).
fof(f20,definition,
sF3 = mult(sK1,sK2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f21,plain,
mult(sK1,sK2) = sF3,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF4 = ld(sK1,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f23,plain,
ld(sK1,sF3) = sF4,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF5 = mult(sK0,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f25,plain,
mult(sK0,sF4) = sF5,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF6 = mult(sK0,sK2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f27,plain,
mult(sK0,sK2) = sF6,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF7 = mult(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f29,plain,
mult(sK0,sK1) = sF7,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF8 = rd(sF7,sK1),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f31,plain,
rd(sF7,sK1) = sF8,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF9 = mult(sF8,sK2),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f33,plain,
mult(sF8,sK2) = sF9,
inference(reorient_equations,[],[f32]) ).
fof(f34,plain,
( sF5 != sF6
| sF6 != sF9 ),
inference(definition_folding,[],[f19,f33,f31,f29,f27,f27,f25,f23,f21]) ).
fof(f36,definition,
( spl10_1
<=> sF6 = sF9 ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f38,plain,
( sF6 != sF9
| spl10_1 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f40,definition,
( spl10_2
<=> sF5 = sF6 ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f43,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f34,f40,f36]) ).
fof(f44,plain,
! [X0] : mult(rd(X0,X0),X0) = X0,
inference(forward_demodulation,[],[f13,f15]) ).
fof(f45,plain,
! [X0] : mult(X0,ld(X0,X0)) = X0,
inference(forward_demodulation,[],[f12,f14]) ).
fof(f46,plain,
! [X2,X3,X0,X1,X4,X5] : mult(ld(ld(X0,X3),mult(ld(X0,X3),X4)),X5) = ld(mult(ld(X0,mult(X0,X1)),X2),mult(mult(ld(X0,mult(X0,X1)),X2),mult(X4,X5))),
inference(superposition,[],[f16,f16]) ).
fof(f47,plain,
! [X2,X3,X0,X1,X4,X5] : mult(ld(ld(X0,X3),mult(ld(X0,X3),X4)),X5) = mult(mult(ld(X0,mult(X0,X1)),X2),ld(mult(ld(X0,mult(X0,X1)),X2),mult(X4,X5))),
inference(forward_demodulation,[],[f46,f14]) ).
fof(f48,plain,
! [X2,X3,X0,X1,X4,X5] : mult(ld(ld(X0,X3),mult(ld(X0,X3),X4)),X5) = mult(mult(mult(X0,ld(X0,X1)),X2),ld(mult(mult(X0,ld(X0,X1)),X2),mult(X4,X5))),
inference(forward_demodulation,[],[f47,f14]) ).
fof(f49,plain,
! [X2,X3,X0,X1,X4,X5] : mult(mult(mult(X0,ld(X0,X1)),X2),ld(mult(mult(X0,ld(X0,X1)),X2),mult(X4,X5))) = mult(mult(ld(X0,X3),ld(ld(X0,X3),X4)),X5),
inference(forward_demodulation,[],[f48,f14]) ).
fof(f50,plain,
! [X2,X0,X1] : mult(ld(X1,mult(X1,X0)),ld(X0,X0)) = ld(ld(X1,X2),mult(ld(X1,X2),X0)),
inference(superposition,[],[f16,f45]) ).
fof(f51,plain,
! [X2,X0,X1] : mult(ld(X1,mult(X1,X0)),ld(X0,X0)) = mult(ld(X1,X2),ld(ld(X1,X2),X0)),
inference(forward_demodulation,[],[f50,f14]) ).
fof(f52,plain,
! [X2,X0,X1] : mult(ld(X1,X2),ld(ld(X1,X2),X0)) = mult(mult(X1,ld(X1,X0)),ld(X0,X0)),
inference(forward_demodulation,[],[f51,f14]) ).
fof(f53,plain,
! [X2,X0,X1] : mult(X0,rd(mult(ld(X0,X0),X2),X2)) = rd(mult(X0,rd(X1,X2)),rd(X1,X2)),
inference(superposition,[],[f17,f45]) ).
fof(f54,plain,
! [X2,X3,X0,X1,X4,X5] : mult(X3,rd(mult(X4,rd(X5,X2)),rd(X5,X2))) = rd(mult(mult(X3,X4),mult(X0,rd(mult(X1,X2),X2))),mult(X0,rd(mult(X1,X2),X2))),
inference(superposition,[],[f17,f17]) ).
fof(f55,plain,
! [X2,X3,X0,X1,X4,X5] : mult(X3,rd(mult(X4,rd(X5,X2)),rd(X5,X2))) = mult(rd(mult(X3,X4),mult(X0,rd(mult(X1,X2),X2))),mult(X0,rd(mult(X1,X2),X2))),
inference(forward_demodulation,[],[f54,f15]) ).
fof(f56,plain,
! [X2,X0,X1] : mult(X0,rd(mult(ld(X0,X0),X2),X2)) = mult(rd(X0,rd(X1,X2)),rd(X1,X2)),
inference(forward_demodulation,[],[f53,f15]) ).
fof(f57,plain,
! [X2,X3,X0,X1,X4,X5] : mult(X3,rd(mult(X4,rd(X5,X2)),rd(X5,X2))) = mult(rd(mult(X3,X4),mult(X0,mult(rd(X1,X2),X2))),mult(X0,mult(rd(X1,X2),X2))),
inference(forward_demodulation,[],[f55,f15]) ).
fof(f58,plain,
! [X2,X0,X1] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(rd(ld(X0,X0),X2),X2)),
inference(forward_demodulation,[],[f56,f15]) ).
fof(f59,plain,
! [X2,X3,X0,X1,X4,X5] : mult(rd(mult(X3,X4),mult(X0,mult(rd(X1,X2),X2))),mult(X0,mult(rd(X1,X2),X2))) = mult(X3,mult(rd(X4,rd(X5,X2)),rd(X5,X2))),
inference(forward_demodulation,[],[f57,f15]) ).
fof(f60,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,X0),rd(mult(X0,X2),X2)),
inference(superposition,[],[f17,f44]) ).
fof(f61,plain,
! [X2,X0,X1] : ld(ld(X1,X2),mult(ld(X1,X2),X0)) = mult(ld(X1,mult(X1,rd(X0,X0))),X0),
inference(superposition,[],[f16,f44]) ).
fof(f62,plain,
! [X2,X0,X1] : ld(ld(X1,X2),mult(ld(X1,X2),X0)) = mult(mult(X1,ld(X1,rd(X0,X0))),X0),
inference(forward_demodulation,[],[f61,f14]) ).
fof(f63,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,X0),mult(rd(X0,X2),X2)),
inference(forward_demodulation,[],[f60,f15]) ).
fof(f64,plain,
! [X2,X0,X1] : mult(ld(X1,X2),ld(ld(X1,X2),X0)) = mult(mult(X1,ld(X1,rd(X0,X0))),X0),
inference(forward_demodulation,[],[f62,f14]) ).
fof(f65,plain,
! [X2,X0,X1] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,X0),mult(rd(X0,X2),X2)),
inference(forward_demodulation,[],[f63,f15]) ).
fof(f68,plain,
! [X0,X1] : mult(rd(X0,X0),X0) = mult(rd(X0,rd(X1,X0)),rd(X1,X0)),
inference(superposition,[],[f65,f44]) ).
fof(f70,plain,
! [X2,X3,X0,X1] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,rd(X3,X2)),rd(X3,X2)),
inference(superposition,[],[f65,f65]) ).
fof(f79,plain,
! [X0,X1] : mult(rd(X0,rd(X1,X0)),rd(X1,X0)) = X0,
inference(forward_demodulation,[],[f68,f44]) ).
fof(f127,plain,
! [X0,X1] : mult(ld(X0,mult(X0,sK0)),sK1) = ld(ld(X0,X1),mult(ld(X0,X1),sF7)),
inference(superposition,[],[f16,f29]) ).
fof(f128,plain,
! [X0,X1] : mult(ld(X0,mult(X0,sK0)),sK1) = mult(ld(X0,X1),ld(ld(X0,X1),sF7)),
inference(forward_demodulation,[],[f127,f14]) ).
fof(f130,plain,
! [X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),sF7)) = mult(mult(X0,ld(X0,sK0)),sK1),
inference(forward_demodulation,[],[f128,f14]) ).
fof(f153,plain,
! [X0,X1] : mult(X0,ld(X0,X0)) = mult(rd(X0,rd(X1,ld(X0,X0))),rd(X1,ld(X0,X0))),
inference(superposition,[],[f58,f44]) ).
fof(f157,plain,
! [X0,X1] : mult(rd(X0,X0),mult(rd(X0,X1),X1)) = mult(X0,mult(rd(ld(X0,X0),X1),X1)),
inference(superposition,[],[f65,f58]) ).
fof(f170,plain,
! [X0,X1] : mult(rd(X0,rd(X1,ld(X0,X0))),rd(X1,ld(X0,X0))) = X0,
inference(forward_demodulation,[],[f153,f45]) ).
fof(f182,plain,
! [X0,X1] : mult(X0,rd(mult(X1,sK1),sK1)) = rd(mult(mult(X0,X1),sF8),sF8),
inference(superposition,[],[f17,f31]) ).
fof(f183,plain,
! [X0,X1] : mult(X0,rd(mult(X1,sK1),sK1)) = mult(rd(mult(X0,X1),sF8),sF8),
inference(forward_demodulation,[],[f182,f15]) ).
fof(f185,plain,
! [X0,X1] : mult(rd(mult(X0,X1),sF8),sF8) = mult(X0,mult(rd(X1,sK1),sK1)),
inference(forward_demodulation,[],[f183,f15]) ).
fof(f186,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f14,f45]) ).
fof(f194,plain,
mult(sK0,ld(sK0,sK2)) = ld(sK0,sF6),
inference(superposition,[],[f14,f27]) ).
fof(f195,plain,
mult(sK0,ld(sK0,sK1)) = ld(sK0,sF7),
inference(superposition,[],[f14,f29]) ).
fof(f197,plain,
ld(sK1,sF3) = mult(sK1,ld(sK1,sK2)),
inference(superposition,[],[f14,f21]) ).
fof(f200,plain,
! [X2,X0,X1] : mult(ld(X0,X2),ld(ld(X0,X2),mult(X0,X1))) = mult(mult(X0,mult(X0,ld(X0,X1))),ld(mult(X0,X1),mult(X0,X1))),
inference(superposition,[],[f52,f14]) ).
fof(f202,plain,
! [X2,X3,X0,X1] : mult(ld(X0,mult(X0,X2)),X3) = ld(mult(X0,ld(X0,X1)),mult(mult(X0,ld(X0,X1)),mult(X2,X3))),
inference(superposition,[],[f16,f14]) ).
fof(f203,plain,
! [X2,X3,X0,X1] : mult(ld(X0,mult(X0,X2)),X3) = mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))),
inference(superposition,[],[f16,f14]) ).
fof(f204,plain,
! [X2,X3,X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(forward_demodulation,[],[f203,f14]) ).
fof(f205,plain,
! [X2,X3,X0,X1] : mult(ld(X0,mult(X0,X2)),X3) = mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),mult(X2,X3))),
inference(forward_demodulation,[],[f202,f14]) ).
fof(f207,plain,
sF4 = mult(sK1,ld(sK1,sK2)),
inference(forward_demodulation,[],[f197,f23]) ).
fof(f209,plain,
! [X2,X3,X0,X1] : mult(mult(X0,ld(X0,X2)),X3) = mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),mult(X2,X3))),
inference(forward_demodulation,[],[f205,f14]) ).
fof(f221,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(superposition,[],[f209,f45]) ).
fof(f244,plain,
! [X2,X3,X0,X1] : mult(mult(X0,ld(X0,X3)),ld(mult(X0,ld(X0,X3)),ld(mult(X0,ld(X0,X3)),mult(X1,X2)))) = ld(mult(X0,ld(X0,X3)),mult(mult(X0,ld(X0,X1)),X2)),
inference(superposition,[],[f14,f209]) ).
fof(f283,plain,
! [X0] : rd(X0,ld(X0,X0)) = mult(rd(X0,ld(X0,X0)),ld(X0,X0)),
inference(superposition,[],[f15,f45]) ).
fof(f288,plain,
! [X0] : rd(X0,X0) = mult(rd(rd(X0,X0),X0),X0),
inference(superposition,[],[f15,f44]) ).
fof(f294,plain,
rd(sF7,sK1) = mult(rd(sK0,sK1),sK1),
inference(superposition,[],[f15,f29]) ).
fof(f303,plain,
! [X2,X3,X0,X1] : mult(X2,rd(mult(X3,X1),X1)) = rd(mult(mult(X2,X3),mult(rd(X0,X1),X1)),mult(rd(X0,X1),X1)),
inference(superposition,[],[f17,f15]) ).
fof(f304,plain,
! [X2,X3,X0,X1] : mult(X2,rd(mult(X3,X1),X1)) = mult(rd(mult(X2,X3),mult(rd(X0,X1),X1)),mult(rd(X0,X1),X1)),
inference(forward_demodulation,[],[f303,f15]) ).
fof(f308,plain,
sF8 = mult(rd(sK0,sK1),sK1),
inference(forward_demodulation,[],[f294,f31]) ).
fof(f312,plain,
! [X2,X3,X0,X1] : mult(rd(mult(X2,X3),mult(rd(X0,X1),X1)),mult(rd(X0,X1),X1)) = mult(X2,mult(rd(X3,X1),X1)),
inference(forward_demodulation,[],[f304,f15]) ).
fof(f334,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,X0),X0)) = mult(rd(mult(X1,X2),X0),X0),
inference(superposition,[],[f312,f44]) ).
fof(f480,plain,
! [X0] : rd(X0,X0) = ld(X0,mult(X0,ld(X0,X0))),
inference(superposition,[],[f18,f44]) ).
fof(f487,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = mult(rd(rd(X0,X0),X1),X1),
inference(superposition,[],[f15,f18]) ).
fof(f493,plain,
! [X2,X3,X0,X1] : mult(X2,rd(mult(X3,X1),X1)) = rd(mult(mult(X2,X3),ld(X0,mult(X0,ld(X1,X1)))),ld(X0,mult(X0,ld(X1,X1)))),
inference(superposition,[],[f17,f18]) ).
fof(f494,plain,
! [X2,X3,X0,X1] : mult(X2,rd(mult(X3,X1),X1)) = mult(rd(mult(X2,X3),ld(X0,mult(X0,ld(X1,X1)))),ld(X0,mult(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f493,f15]) ).
fof(f500,plain,
! [X0,X1] : mult(rd(rd(X0,X0),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f487,f14]) ).
fof(f507,plain,
! [X0] : rd(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(forward_demodulation,[],[f480,f14]) ).
fof(f508,plain,
! [X2,X3,X0,X1] : mult(X2,rd(mult(X3,X1),X1)) = mult(X2,mult(rd(X3,ld(X0,mult(X0,ld(X1,X1)))),ld(X0,mult(X0,ld(X1,X1))))),
inference(forward_demodulation,[],[f494,f334]) ).
fof(f515,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(forward_demodulation,[],[f507,f186]) ).
fof(f516,plain,
! [X2,X3,X0,X1] : mult(X2,rd(mult(X3,X1),X1)) = mult(X2,mult(rd(X3,mult(X0,ld(X0,ld(X1,X1)))),mult(X0,ld(X0,ld(X1,X1))))),
inference(forward_demodulation,[],[f508,f14]) ).
fof(f521,plain,
! [X2,X3,X0,X1] : mult(X2,mult(rd(X3,X1),X1)) = mult(X2,mult(rd(X3,mult(X0,ld(X0,ld(X1,X1)))),mult(X0,ld(X0,ld(X1,X1))))),
inference(forward_demodulation,[],[f516,f15]) ).
fof(f528,plain,
! [X0,X1] : mult(X1,mult(rd(ld(X1,X1),X0),X0)) = mult(rd(X1,ld(X0,X0)),ld(X0,X0)),
inference(superposition,[],[f58,f515]) ).
fof(f531,plain,
! [X2,X0,X1] : mult(X1,rd(mult(X2,X0),X0)) = rd(mult(mult(X1,X2),ld(X0,X0)),ld(X0,X0)),
inference(superposition,[],[f17,f515]) ).
fof(f532,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(ld(X0,X0),X1),X1),
inference(superposition,[],[f18,f515]) ).
fof(f533,plain,
! [X2,X0,X1] : mult(ld(X1,X2),ld(ld(X1,X2),X0)) = mult(mult(X1,ld(X1,ld(X0,X0))),X0),
inference(superposition,[],[f64,f515]) ).
fof(f535,plain,
! [X2,X0,X1] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(ld(X0,X0),mult(rd(X0,X2),X2)),
inference(superposition,[],[f65,f515]) ).
fof(f536,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(superposition,[],[f44,f515]) ).
fof(f543,plain,
! [X2,X0,X1] : mult(ld(X1,X2),ld(ld(X1,X2),X0)) = mult(X1,ld(X1,mult(ld(X0,X0),X0))),
inference(forward_demodulation,[],[f533,f221]) ).
fof(f544,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = mult(rd(ld(X0,X0),X1),X1),
inference(forward_demodulation,[],[f532,f15]) ).
fof(f545,plain,
! [X2,X0,X1] : mult(X1,rd(mult(X2,X0),X0)) = mult(rd(mult(X1,X2),ld(X0,X0)),ld(X0,X0)),
inference(forward_demodulation,[],[f531,f15]) ).
fof(f550,plain,
! [X2,X0,X1] : mult(X1,ld(X1,X0)) = mult(ld(X1,X2),ld(ld(X1,X2),X0)),
inference(forward_demodulation,[],[f543,f536]) ).
fof(f551,plain,
! [X0,X1] : mult(rd(ld(X0,X0),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f544,f14]) ).
fof(f552,plain,
! [X2,X0,X1] : mult(X1,rd(mult(X2,X0),X0)) = mult(X1,mult(rd(X2,ld(X0,X0)),ld(X0,X0))),
inference(forward_demodulation,[],[f545,f334]) ).
fof(f554,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,X0),X0)) = mult(X1,mult(rd(X2,ld(X0,X0)),ld(X0,X0))),
inference(forward_demodulation,[],[f552,f15]) ).
fof(f557,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),X2)),
inference(superposition,[],[f550,f14]) ).
fof(f569,plain,
! [X2,X3,X0,X1,X4] : mult(ld(X0,X2),mult(rd(ld(ld(X0,X2),X1),X4),X4)) = mult(rd(mult(X0,ld(X0,X1)),mult(rd(X3,X4),X4)),mult(rd(X3,X4),X4)),
inference(superposition,[],[f312,f550]) ).
fof(f578,plain,
! [X2,X0,X1,X4] : mult(ld(X0,X2),mult(rd(ld(ld(X0,X2),X1),X4),X4)) = mult(X0,mult(rd(ld(X0,X1),X4),X4)),
inference(forward_demodulation,[],[f569,f312]) ).
fof(f588,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))),
inference(forward_demodulation,[],[f557,f221]) ).
fof(f744,plain,
! [X0,X1] : mult(rd(X0,rd(X1,ld(X0,X0))),rd(X1,ld(X0,X0))) = mult(rd(X0,X0),rd(X0,ld(X0,X0))),
inference(superposition,[],[f65,f283]) ).
fof(f756,plain,
! [X0,X1] : mult(rd(X0,rd(X1,ld(X0,X0))),rd(X1,ld(X0,X0))) = mult(ld(X0,X0),rd(X0,ld(X0,X0))),
inference(forward_demodulation,[],[f744,f515]) ).
fof(f760,plain,
! [X0] : mult(ld(X0,X0),rd(X0,ld(X0,X0))) = X0,
inference(forward_demodulation,[],[f756,f170]) ).
fof(f970,plain,
! [X0,X1] : mult(X0,mult(rd(ld(X0,X0),X1),X1)) = mult(ld(X0,X0),mult(rd(X0,X1),X1)),
inference(superposition,[],[f58,f535]) ).
fof(f1002,plain,
! [X0,X1] : mult(ld(X0,X0),mult(rd(X0,X1),X1)) = mult(X0,mult(X0,ld(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f970,f551]) ).
fof(f1060,plain,
! [X0] : mult(rd(X0,ld(X0,X0)),ld(X0,X0)) = X0,
inference(superposition,[],[f79,f515]) ).
fof(f1068,plain,
! [X2,X3,X0,X1] : mult(rd(mult(X1,X2),X0),X0) = mult(X1,mult(rd(X2,rd(X3,X0)),rd(X3,X0))),
inference(superposition,[],[f312,f79]) ).
fof(f1082,plain,
! [X2,X3,X0,X1] : mult(X1,mult(rd(X2,X0),X0)) = mult(X1,mult(rd(X2,rd(X3,X0)),rd(X3,X0))),
inference(forward_demodulation,[],[f1068,f334]) ).
fof(f1090,plain,
! [X0] : rd(X0,ld(X0,X0)) = X0,
inference(forward_demodulation,[],[f1060,f283]) ).
fof(f1114,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = mult(ld(X1,X1),mult(rd(X1,ld(X0,X0)),ld(X0,X0))),
inference(superposition,[],[f535,f1090]) ).
fof(f1119,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = mult(ld(X1,X1),mult(rd(X1,X0),X0)),
inference(forward_demodulation,[],[f1114,f554]) ).
fof(f1128,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = mult(X1,mult(X1,ld(X1,ld(X0,X0)))),
inference(forward_demodulation,[],[f1119,f1002]) ).
fof(f1220,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(ld(X0,X0),rd(mult(rd(X0,ld(X0,X0)),X2),X2)),
inference(superposition,[],[f17,f760]) ).
fof(f1223,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(ld(X0,X0),mult(rd(rd(X0,ld(X0,X0)),X2),X2)),
inference(forward_demodulation,[],[f1220,f15]) ).
fof(f1229,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(ld(X0,X0),mult(rd(X0,X2),X2)),
inference(forward_demodulation,[],[f1223,f1090]) ).
fof(f1234,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(X0,ld(X0,ld(X2,X2)))),
inference(forward_demodulation,[],[f1229,f1002]) ).
fof(f1239,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,X2),X2),
inference(forward_demodulation,[],[f1234,f1128]) ).
fof(f1241,plain,
! [X2,X0,X1] : mult(rd(X0,rd(X1,X2)),rd(X1,X2)) = mult(rd(X0,X2),X2),
inference(forward_demodulation,[],[f1239,f15]) ).
fof(f1302,plain,
! [X2,X3,X0,X1,X4,X5] : mult(rd(mult(mult(X0,ld(X0,X1)),X2),mult(rd(X4,X5),X5)),mult(rd(X4,X5),X5)) = mult(ld(X0,X3),mult(rd(ld(ld(X0,X3),mult(X1,X2)),X5),X5)),
inference(superposition,[],[f312,f204]) ).
fof(f1303,plain,
! [X2,X0,X1,X4,X5] : mult(rd(mult(mult(X0,ld(X0,X1)),X2),mult(rd(X4,X5),X5)),mult(rd(X4,X5),X5)) = mult(X0,mult(rd(ld(X0,mult(X1,X2)),X5),X5)),
inference(forward_demodulation,[],[f1302,f578]) ).
fof(f1347,plain,
! [X2,X0,X1,X5] : mult(mult(X0,ld(X0,X1)),mult(rd(X2,X5),X5)) = mult(X0,mult(rd(ld(X0,mult(X1,X2)),X5),X5)),
inference(forward_demodulation,[],[f1303,f312]) ).
fof(f1380,plain,
! [X2,X0,X1,X5] : mult(X0,ld(X0,mult(X1,mult(rd(X2,X5),X5)))) = mult(X0,mult(rd(ld(X0,mult(X1,X2)),X5),X5)),
inference(forward_demodulation,[],[f1347,f221]) ).
fof(f1426,plain,
! [X2,X0,X1] : rd(mult(rd(X0,X0),rd(X1,X2)),rd(X1,X2)) = mult(rd(rd(X0,X0),X0),rd(mult(X0,X2),X2)),
inference(superposition,[],[f17,f288]) ).
fof(f1433,plain,
! [X2,X0,X1] : rd(mult(rd(X0,X0),rd(X1,X2)),rd(X1,X2)) = mult(rd(rd(X0,X0),X0),mult(rd(X0,X2),X2)),
inference(forward_demodulation,[],[f1426,f15]) ).
fof(f1442,plain,
! [X2,X0,X1] : rd(mult(ld(X0,X0),rd(X1,X2)),rd(X1,X2)) = mult(rd(ld(X0,X0),X0),mult(rd(X0,X2),X2)),
inference(forward_demodulation,[],[f1433,f515]) ).
fof(f1446,plain,
! [X2,X0,X1] : mult(rd(ld(X0,X0),rd(X1,X2)),rd(X1,X2)) = mult(rd(ld(X0,X0),X0),mult(rd(X0,X2),X2)),
inference(forward_demodulation,[],[f1442,f15]) ).
fof(f1448,plain,
! [X2,X0] : mult(rd(ld(X0,X0),X2),X2) = mult(rd(ld(X0,X0),X0),mult(rd(X0,X2),X2)),
inference(forward_demodulation,[],[f1446,f1241]) ).
fof(f1450,plain,
! [X2,X0] : mult(X0,ld(X0,ld(X2,X2))) = mult(rd(ld(X0,X0),X0),mult(rd(X0,X2),X2)),
inference(forward_demodulation,[],[f1448,f551]) ).
fof(f1472,plain,
! [X2,X3,X0,X1] : mult(ld(X2,mult(X2,rd(X0,X0))),mult(rd(X0,X1),X1)) = ld(ld(X2,X3),mult(ld(X2,X3),mult(X0,mult(rd(ld(X0,X0),X1),X1)))),
inference(superposition,[],[f16,f157]) ).
fof(f1481,plain,
! [X2,X0,X1] : mult(ld(X2,mult(X2,rd(X0,X0))),mult(rd(X0,X1),X1)) = mult(ld(X2,mult(X2,X0)),mult(rd(ld(X0,X0),X1),X1)),
inference(forward_demodulation,[],[f1472,f16]) ).
fof(f1504,plain,
! [X2,X0,X1] : mult(ld(X2,mult(X2,rd(X0,X0))),mult(rd(X0,X1),X1)) = mult(ld(X2,mult(X2,X0)),mult(X0,ld(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f1481,f551]) ).
fof(f1526,plain,
! [X2,X0,X1] : mult(ld(X2,mult(X2,rd(X0,X0))),mult(rd(X0,X1),X1)) = mult(mult(X2,ld(X2,X0)),mult(X0,ld(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f1504,f14]) ).
fof(f1545,plain,
! [X2,X0,X1] : mult(ld(X2,mult(X2,rd(X0,X0))),mult(rd(X0,X1),X1)) = mult(X2,ld(X2,mult(X0,mult(X0,ld(X0,ld(X1,X1)))))),
inference(forward_demodulation,[],[f1526,f221]) ).
fof(f1559,plain,
! [X2,X0,X1] : mult(ld(X2,mult(X2,rd(X0,X0))),mult(rd(X0,X1),X1)) = mult(X2,ld(X2,mult(rd(X0,X1),X1))),
inference(forward_demodulation,[],[f1545,f1128]) ).
fof(f1569,plain,
! [X2,X0,X1] : mult(mult(X2,ld(X2,rd(X0,X0))),mult(rd(X0,X1),X1)) = mult(X2,ld(X2,mult(rd(X0,X1),X1))),
inference(forward_demodulation,[],[f1559,f14]) ).
fof(f1573,plain,
! [X2,X0,X1] : mult(X2,ld(X2,mult(rd(X0,X1),X1))) = mult(X2,ld(X2,mult(rd(X0,X0),mult(rd(X0,X1),X1)))),
inference(forward_demodulation,[],[f1569,f221]) ).
fof(f1577,plain,
! [X2,X0,X1] : mult(X2,ld(X2,mult(rd(X0,X1),X1))) = mult(X2,mult(rd(ld(X2,mult(rd(X0,X0),X0)),X1),X1)),
inference(forward_demodulation,[],[f1573,f1380]) ).
fof(f1580,plain,
! [X2,X0,X1] : mult(X2,ld(X2,mult(rd(X0,X1),X1))) = mult(X2,mult(rd(ld(X2,X0),X1),X1)),
inference(forward_demodulation,[],[f1577,f44]) ).
fof(f1585,plain,
! [X2,X0,X1] : mult(X0,ld(X0,mult(mult(X0,X1),X2))) = mult(mult(X0,mult(X0,ld(X0,X1))),X2),
inference(superposition,[],[f221,f14]) ).
fof(f1586,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,ld(X0,mult(X0,X1))),
inference(superposition,[],[f221,f45]) ).
fof(f1662,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f1586,f14]) ).
fof(f1747,plain,
! [X2,X3,X0,X1] : mult(rd(mult(X0,X1),mult(rd(X2,X3),X3)),mult(rd(X2,X3),X3)) = mult(X0,mult(rd(mult(X0,ld(X0,X1)),X3),X3)),
inference(superposition,[],[f312,f1662]) ).
fof(f1754,plain,
! [X2,X3,X0,X1] : mult(rd(mult(X0,X1),mult(rd(X2,X3),X3)),mult(rd(X2,X3),X3)) = mult(X0,mult(X0,mult(rd(ld(X0,X1),X3),X3))),
inference(forward_demodulation,[],[f1747,f334]) ).
fof(f1777,plain,
! [X3,X0,X1] : mult(X0,mult(rd(X1,X3),X3)) = mult(X0,mult(X0,mult(rd(ld(X0,X1),X3),X3))),
inference(forward_demodulation,[],[f1754,f312]) ).
fof(f1924,plain,
! [X2,X3,X0,X1] : mult(rd(mult(X0,rd(X1,X2)),rd(X3,X2)),rd(X3,X2)) = mult(mult(rd(X0,rd(X1,X2)),rd(X1,X2)),rd(X1,X2)),
inference(superposition,[],[f70,f15]) ).
fof(f1927,plain,
! [X2,X3,X0,X1,X4,X5] : mult(rd(X3,mult(X0,rd(mult(X1,X2),X2))),mult(X0,rd(mult(X1,X2),X2))) = mult(rd(X3,rd(X4,rd(X5,X2))),rd(X4,rd(X5,X2))),
inference(superposition,[],[f70,f17]) ).
fof(f1929,plain,
! [X2,X3,X0,X1] : mult(rd(X2,ld(X0,mult(X0,ld(X1,X1)))),ld(X0,mult(X0,ld(X1,X1)))) = mult(rd(X2,rd(X3,X1)),rd(X3,X1)),
inference(superposition,[],[f70,f18]) ).
fof(f1930,plain,
! [X0,X1] : mult(rd(X0,sF8),sF8) = mult(rd(X0,rd(X1,sK1)),rd(X1,sK1)),
inference(superposition,[],[f70,f31]) ).
fof(f1932,plain,
! [X2,X0,X1] : mult(rd(X1,X0),X0) = mult(rd(X1,rd(X2,ld(X0,X0))),rd(X2,ld(X0,X0))),
inference(superposition,[],[f70,f1090]) ).
fof(f1965,plain,
! [X2,X0,X1] : rd(X0,X1) = mult(rd(rd(X0,X1),rd(X2,X1)),rd(X2,X1)),
inference(superposition,[],[f44,f70]) ).
fof(f1996,plain,
! [X0,X1] : rd(X0,X1) = mult(rd(rd(X0,X1),X1),X1),
inference(forward_demodulation,[],[f1965,f1241]) ).
fof(f2015,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = mult(rd(X1,ld(X0,X0)),ld(X0,X0)),
inference(forward_demodulation,[],[f1932,f1241]) ).
fof(f2017,plain,
! [X0] : mult(rd(X0,sF8),sF8) = mult(rd(X0,sK1),sK1),
inference(forward_demodulation,[],[f1930,f1241]) ).
fof(f2018,plain,
! [X2,X0,X1] : mult(rd(X2,X1),X1) = mult(rd(X2,ld(X0,mult(X0,ld(X1,X1)))),ld(X0,mult(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f1929,f1241]) ).
fof(f2020,plain,
! [X2,X3,X0,X1,X5] : mult(rd(X3,mult(X0,rd(mult(X1,X2),X2))),mult(X0,rd(mult(X1,X2),X2))) = mult(rd(X3,rd(X5,X2)),rd(X5,X2)),
inference(forward_demodulation,[],[f1927,f1241]) ).
fof(f2023,plain,
! [X2,X3,X0,X1] : mult(rd(mult(X0,rd(X1,X2)),rd(X3,X2)),rd(X3,X2)) = mult(mult(rd(X0,X2),X2),rd(X1,X2)),
inference(forward_demodulation,[],[f1924,f1241]) ).
fof(f2062,plain,
! [X2,X0,X1] : mult(rd(X2,X1),X1) = mult(rd(X2,mult(X0,ld(X0,ld(X1,X1)))),mult(X0,ld(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f2018,f14]) ).
fof(f2063,plain,
! [X2,X3,X0,X1] : mult(rd(X3,mult(X0,rd(mult(X1,X2),X2))),mult(X0,rd(mult(X1,X2),X2))) = mult(rd(X3,X2),X2),
inference(forward_demodulation,[],[f2020,f1241]) ).
fof(f2066,plain,
! [X2,X0,X1] : mult(rd(mult(X0,rd(X1,X2)),X2),X2) = mult(mult(rd(X0,X2),X2),rd(X1,X2)),
inference(forward_demodulation,[],[f2023,f1241]) ).
fof(f2092,plain,
! [X2,X3,X0,X1] : mult(rd(X3,mult(X0,mult(rd(X1,X2),X2))),mult(X0,mult(rd(X1,X2),X2))) = mult(rd(X3,X2),X2),
inference(forward_demodulation,[],[f2063,f15]) ).
fof(f2094,plain,
! [X2,X0,X1] : mult(mult(rd(X0,X2),X2),rd(X1,X2)) = mult(X0,mult(rd(rd(X1,X2),X2),X2)),
inference(forward_demodulation,[],[f2066,f334]) ).
fof(f2110,plain,
! [X2,X0,X1] : mult(X0,rd(X1,X2)) = mult(mult(rd(X0,X2),X2),rd(X1,X2)),
inference(forward_demodulation,[],[f2094,f1996]) ).
fof(f2234,plain,
! [X0,X1] : mult(mult(rd(X0,X1),X1),X1) = mult(X0,mult(rd(X1,X1),X1)),
inference(superposition,[],[f334,f15]) ).
fof(f2235,plain,
! [X0,X1] : mult(ld(X0,mult(X0,ld(X1,X1))),X1) = mult(rd(X0,X0),mult(rd(X1,X1),X1)),
inference(superposition,[],[f334,f18]) ).
fof(f2295,plain,
! [X0,X1] : mult(rd(X0,X0),X1) = mult(ld(X0,mult(X0,ld(X1,X1))),X1),
inference(forward_demodulation,[],[f2235,f44]) ).
fof(f2296,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(rd(X0,X1),X1),X1),
inference(forward_demodulation,[],[f2234,f44]) ).
fof(f2351,plain,
! [X0,X1] : mult(rd(X0,X0),X1) = mult(mult(X0,ld(X0,ld(X1,X1))),X1),
inference(forward_demodulation,[],[f2295,f14]) ).
fof(f2387,plain,
! [X0,X1] : mult(rd(X0,X0),X1) = mult(X0,ld(X0,mult(ld(X1,X1),X1))),
inference(forward_demodulation,[],[f2351,f221]) ).
fof(f2405,plain,
! [X0,X1] : mult(rd(X0,X0),X1) = mult(X0,ld(X0,X1)),
inference(forward_demodulation,[],[f2387,f536]) ).
fof(f2413,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = mult(ld(X0,X0),X1),
inference(forward_demodulation,[],[f2405,f515]) ).
fof(f2442,plain,
! [X0,X1] : mult(rd(ld(X0,X0),X1),X1) = rd(mult(X0,ld(X0,X1)),X1),
inference(superposition,[],[f15,f2413]) ).
fof(f2475,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = rd(mult(X0,ld(X0,X1)),X1),
inference(forward_demodulation,[],[f2442,f551]) ).
fof(f2575,plain,
mult(sK0,sK1) = mult(sF8,sK1),
inference(superposition,[],[f2296,f308]) ).
fof(f2593,plain,
sF7 = mult(sF8,sK1),
inference(forward_demodulation,[],[f2575,f29]) ).
fof(f3266,plain,
! [X0,X1] : mult(mult(rd(X0,X0),X1),ld(mult(rd(X0,X0),X1),ld(X1,X1))) = mult(rd(ld(mult(rd(X0,X0),X1),mult(rd(X0,X0),X1)),mult(rd(X0,X0),X1)),mult(ld(X0,mult(X0,ld(X1,X1))),X1)),
inference(superposition,[],[f1450,f18]) ).
fof(f3289,plain,
! [X2,X3,X0,X1] : mult(mult(X2,ld(X2,rd(ld(X0,X0),X0))),mult(rd(X0,X1),X1)) = mult(mult(X2,ld(X2,X3)),ld(mult(X2,ld(X2,X3)),mult(X0,ld(X0,ld(X1,X1))))),
inference(superposition,[],[f209,f1450]) ).
fof(f3296,plain,
! [X2,X0,X1] : mult(mult(X2,ld(X2,rd(ld(X0,X0),X0))),mult(rd(X0,X1),X1)) = mult(mult(X2,ld(X2,X0)),ld(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f3289,f209]) ).
fof(f3315,plain,
! [X0,X1] : mult(mult(rd(X0,X0),X1),ld(mult(rd(X0,X0),X1),ld(X1,X1))) = mult(rd(ld(mult(rd(X0,X0),X1),mult(rd(X0,X0),X1)),mult(rd(X0,X0),X1)),mult(mult(X0,ld(X0,ld(X1,X1))),X1)),
inference(forward_demodulation,[],[f3266,f14]) ).
fof(f3323,plain,
! [X2,X0,X1] : mult(mult(X2,ld(X2,rd(ld(X0,X0),X0))),mult(rd(X0,X1),X1)) = mult(X2,ld(X2,mult(X0,ld(X0,ld(X1,X1))))),
inference(forward_demodulation,[],[f3296,f221]) ).
fof(f3334,plain,
! [X0,X1] : mult(mult(rd(X0,X0),X1),ld(mult(rd(X0,X0),X1),ld(X1,X1))) = mult(rd(ld(mult(rd(X0,X0),X1),mult(rd(X0,X0),X1)),mult(rd(X0,X0),X1)),mult(X0,ld(X0,mult(ld(X1,X1),X1)))),
inference(forward_demodulation,[],[f3315,f221]) ).
fof(f3341,plain,
! [X2,X0,X1] : mult(X2,ld(X2,mult(X0,ld(X0,ld(X1,X1))))) = mult(X2,ld(X2,mult(rd(ld(X0,X0),X0),mult(rd(X0,X1),X1)))),
inference(forward_demodulation,[],[f3323,f221]) ).
fof(f3351,plain,
! [X0,X1] : mult(mult(rd(X0,X0),X1),ld(mult(rd(X0,X0),X1),ld(X1,X1))) = mult(rd(ld(mult(rd(X0,X0),X1),mult(rd(X0,X0),X1)),mult(rd(X0,X0),X1)),mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f3334,f536]) ).
fof(f3356,plain,
! [X2,X0,X1] : mult(X2,ld(X2,mult(X0,ld(X0,ld(X1,X1))))) = mult(X2,mult(rd(ld(X2,mult(rd(ld(X0,X0),X0),X0)),X1),X1)),
inference(forward_demodulation,[],[f3341,f1380]) ).
fof(f3361,plain,
! [X0,X1] : mult(mult(ld(X0,X0),X1),ld(mult(ld(X0,X0),X1),ld(X1,X1))) = mult(rd(ld(mult(ld(X0,X0),X1),mult(ld(X0,X0),X1)),mult(ld(X0,X0),X1)),mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f3351,f515]) ).
fof(f3364,plain,
! [X2,X0,X1] : mult(X2,ld(X2,mult(X0,ld(X0,ld(X1,X1))))) = mult(X2,mult(rd(ld(X2,mult(X0,ld(X0,ld(X0,X0)))),X1),X1)),
inference(forward_demodulation,[],[f3356,f551]) ).
fof(f3367,plain,
! [X0,X1] : mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),ld(X1,X1))) = mult(rd(ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1))),mult(X0,ld(X0,X1))),mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f3361,f2413]) ).
fof(f3368,plain,
! [X2,X0,X1] : mult(X2,ld(X2,mult(X0,ld(X0,ld(X1,X1))))) = mult(X2,mult(rd(ld(X2,ld(X0,X0)),X1),X1)),
inference(forward_demodulation,[],[f3364,f186]) ).
fof(f3371,plain,
! [X0,X1] : mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1))))) = mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),ld(X1,X1))),
inference(forward_demodulation,[],[f3367,f551]) ).
fof(f3373,plain,
! [X0,X1] : mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1))))) = mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),ld(X1,X1))))),
inference(forward_demodulation,[],[f3371,f221]) ).
fof(f3375,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1))))),
inference(forward_demodulation,[],[f3373,f588]) ).
fof(f3376,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = ld(mult(X0,ld(X0,X1)),mult(mult(X0,ld(X0,X0)),ld(X0,X1))),
inference(forward_demodulation,[],[f3375,f244]) ).
fof(f3377,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,mult(X0,ld(X0,X1))))),
inference(forward_demodulation,[],[f3376,f221]) ).
fof(f3378,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = ld(mult(X0,ld(X0,X1)),mult(X0,mult(X0,ld(X0,ld(X0,X1))))),
inference(forward_demodulation,[],[f3377,f14]) ).
fof(f3379,plain,
! [X0,X1] : ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1))) = mult(X0,ld(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f3378,f1662]) ).
fof(f3400,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = mult(mult(rd(X1,X0),X0),ld(X0,X0)),
inference(superposition,[],[f2110,f515]) ).
fof(f4154,plain,
! [X2,X3,X0,X1] : mult(X3,mult(rd(rd(X0,mult(X1,ld(X1,ld(X2,X2)))),X2),X2)) = mult(X3,rd(X0,mult(X1,ld(X1,ld(X2,X2))))),
inference(superposition,[],[f521,f1996]) ).
fof(f4201,plain,
! [X2,X0,X1] : mult(rd(ld(X0,X0),X0),mult(rd(X0,X1),X1)) = mult(X0,ld(X0,ld(mult(X2,ld(X2,ld(X1,X1))),mult(X2,ld(X2,ld(X1,X1)))))),
inference(superposition,[],[f1450,f521]) ).
fof(f4212,plain,
! [X2,X0,X1] : mult(rd(ld(X0,X0),X0),mult(rd(X0,X1),X1)) = mult(X0,ld(X0,mult(X2,ld(X2,ld(ld(X1,X1),ld(X1,X1)))))),
inference(forward_demodulation,[],[f4201,f3379]) ).
fof(f4274,plain,
! [X2,X0,X1] : mult(rd(ld(X0,X0),X0),mult(rd(X0,X1),X1)) = mult(X0,mult(rd(ld(X0,ld(X2,X2)),ld(X1,X1)),ld(X1,X1))),
inference(forward_demodulation,[],[f4212,f3368]) ).
fof(f4315,plain,
! [X2,X0,X1] : mult(rd(ld(X0,X0),X0),mult(rd(X0,X1),X1)) = mult(X0,mult(rd(ld(X0,ld(X2,X2)),X1),X1)),
inference(forward_demodulation,[],[f4274,f554]) ).
fof(f4348,plain,
! [X2,X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(X0,mult(rd(ld(X0,ld(X2,X2)),X1),X1)),
inference(forward_demodulation,[],[f4315,f1450]) ).
fof(f4854,plain,
! [X0,X1] : mult(X0,ld(X0,mult(rd(ld(X0,X0),X1),X1))) = ld(X0,mult(rd(X0,ld(X1,X1)),ld(X1,X1))),
inference(superposition,[],[f14,f528]) ).
fof(f4921,plain,
! [X0,X1] : ld(X0,mult(rd(X0,X1),X1)) = mult(X0,ld(X0,mult(rd(ld(X0,X0),X1),X1))),
inference(forward_demodulation,[],[f4854,f2015]) ).
fof(f4975,plain,
! [X0,X1] : ld(X0,mult(rd(X0,X1),X1)) = mult(X0,mult(rd(ld(X0,ld(X0,X0)),X1),X1)),
inference(forward_demodulation,[],[f4921,f1580]) ).
fof(f5018,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = ld(X0,mult(rd(X0,X1),X1)),
inference(forward_demodulation,[],[f4975,f4348]) ).
fof(f5154,plain,
! [X2,X0,X1] : mult(rd(mult(X0,ld(X0,ld(X1,X1))),X2),X2) = mult(rd(rd(X0,X0),X1),mult(rd(X1,X2),X2)),
inference(superposition,[],[f334,f500]) ).
fof(f5157,plain,
! [X2,X0,X1] : mult(rd(ld(X0,X0),X1),mult(rd(X1,X2),X2)) = mult(rd(mult(X0,ld(X0,ld(X1,X1))),X2),X2),
inference(forward_demodulation,[],[f5154,f515]) ).
fof(f5198,plain,
! [X2,X0,X1] : mult(rd(ld(X0,X0),X1),mult(rd(X1,X2),X2)) = mult(X0,mult(rd(ld(X0,ld(X1,X1)),X2),X2)),
inference(forward_demodulation,[],[f5157,f334]) ).
fof(f5230,plain,
! [X2,X0,X1] : mult(X0,ld(X0,ld(X2,X2))) = mult(rd(ld(X0,X0),X1),mult(rd(X1,X2),X2)),
inference(forward_demodulation,[],[f5198,f4348]) ).
fof(f5904,plain,
! [X0] : mult(X0,mult(rd(ld(X0,ld(X0,X0)),sK1),sK1)) = mult(rd(ld(X0,X0),sF8),sF8),
inference(superposition,[],[f185,f186]) ).
fof(f6066,plain,
! [X0] : mult(X0,mult(rd(ld(X0,ld(X0,X0)),sK1),sK1)) = mult(X0,ld(X0,ld(sF8,sF8))),
inference(forward_demodulation,[],[f5904,f551]) ).
fof(f6124,plain,
! [X0] : mult(X0,ld(X0,ld(sF8,sF8))) = mult(X0,ld(X0,ld(sK1,sK1))),
inference(forward_demodulation,[],[f6066,f4348]) ).
fof(f6296,plain,
mult(sK0,sK1) = mult(sK0,ld(sK0,sF7)),
inference(superposition,[],[f1662,f195]) ).
fof(f6318,plain,
sF7 = mult(sK0,ld(sK0,sF7)),
inference(forward_demodulation,[],[f6296,f29]) ).
fof(f6331,plain,
! [X0,X1] : mult(mult(sK0,ld(sK0,X0)),X1) = mult(sF7,ld(sF7,mult(X0,X1))),
inference(superposition,[],[f209,f6318]) ).
fof(f6352,plain,
! [X0,X1] : mult(sF7,ld(sF7,mult(X0,X1))) = mult(sK0,ld(sK0,mult(X0,X1))),
inference(forward_demodulation,[],[f6331,f221]) ).
fof(f6580,plain,
! [X2,X3,X0,X1] : mult(rd(mult(rd(X0,X1),X1),X3),X3) = mult(rd(X0,rd(X2,X1)),mult(rd(rd(X2,X1),X3),X3)),
inference(superposition,[],[f334,f1241]) ).
fof(f6581,plain,
! [X2,X3,X0,X1] : mult(rd(X0,X1),mult(rd(X1,X3),X3)) = mult(rd(X0,rd(X2,X1)),mult(rd(rd(X2,X1),X3),X3)),
inference(forward_demodulation,[],[f6580,f334]) ).
fof(f6797,plain,
mult(sK0,sK2) = mult(sK0,ld(sK0,sF6)),
inference(superposition,[],[f1662,f194]) ).
fof(f6819,plain,
sF6 = mult(sK0,ld(sK0,sF6)),
inference(forward_demodulation,[],[f6797,f27]) ).
fof(f7027,plain,
! [X2,X3,X0,X1,X6,X4,X5] : mult(rd(X0,rd(X2,X1)),mult(rd(rd(X2,X1),rd(X6,X5)),rd(X6,X5))) = mult(rd(mult(ld(X0,X0),mult(rd(X0,X1),X1)),mult(X3,mult(rd(X4,X5),X5))),mult(X3,mult(rd(X4,X5),X5))),
inference(superposition,[],[f59,f535]) ).
fof(f7028,plain,
! [X2,X3,X0,X1,X6,X4,X5] : mult(rd(X0,rd(X2,X1)),mult(rd(rd(X2,X1),rd(X6,X5)),rd(X6,X5))) = mult(rd(mult(X0,mult(rd(ld(X0,X0),X1),X1)),mult(X3,mult(rd(X4,X5),X5))),mult(X3,mult(rd(X4,X5),X5))),
inference(superposition,[],[f59,f58]) ).
fof(f7068,plain,
! [X2,X3,X0,X1] : mult(X0,mult(rd(X1,rd(X3,sK1)),rd(X3,sK1))) = mult(rd(mult(X0,X1),mult(X2,mult(sF8,sK1))),mult(X2,mult(sF8,sK1))),
inference(superposition,[],[f59,f31]) ).
fof(f7071,plain,
! [X2,X3,X0,X1,X4] : mult(X1,mult(rd(X2,rd(X4,X0)),rd(X4,X0))) = mult(rd(mult(X1,X2),mult(X3,X0)),mult(X3,X0)),
inference(superposition,[],[f59,f44]) ).
fof(f7382,plain,
! [X2,X3,X0,X1,X4] : mult(X1,mult(rd(X2,rd(X4,X0)),rd(X4,X0))) = mult(X1,mult(rd(X2,mult(X3,X0)),mult(X3,X0))),
inference(forward_demodulation,[],[f7071,f334]) ).
fof(f7385,plain,
! [X2,X3,X0,X1] : mult(X0,mult(rd(X1,rd(X3,sK1)),rd(X3,sK1))) = mult(X0,mult(rd(X1,mult(X2,mult(sF8,sK1))),mult(X2,mult(sF8,sK1)))),
inference(forward_demodulation,[],[f7068,f334]) ).
fof(f7425,plain,
! [X2,X0,X1,X6,X5] : mult(rd(X0,rd(X2,X1)),mult(rd(rd(X2,X1),rd(X6,X5)),rd(X6,X5))) = mult(rd(mult(X0,mult(rd(ld(X0,X0),X1),X1)),X5),X5),
inference(forward_demodulation,[],[f7028,f2092]) ).
fof(f7426,plain,
! [X2,X0,X1,X6,X5] : mult(rd(X0,rd(X2,X1)),mult(rd(rd(X2,X1),rd(X6,X5)),rd(X6,X5))) = mult(rd(mult(ld(X0,X0),mult(rd(X0,X1),X1)),X5),X5),
inference(forward_demodulation,[],[f7027,f2092]) ).
fof(f7607,plain,
! [X2,X3,X0,X1] : mult(X1,mult(rd(X2,X0),X0)) = mult(X1,mult(rd(X2,mult(X3,X0)),mult(X3,X0))),
inference(forward_demodulation,[],[f7382,f1082]) ).
fof(f7610,plain,
! [X2,X3,X0,X1] : mult(X0,mult(rd(X1,rd(X3,sK1)),rd(X3,sK1))) = mult(X0,mult(rd(X1,mult(X2,sF7)),mult(X2,sF7))),
inference(forward_demodulation,[],[f7385,f2593]) ).
fof(f7650,plain,
! [X2,X0,X1,X6,X5] : mult(rd(X0,rd(X2,X1)),mult(rd(rd(X2,X1),rd(X6,X5)),rd(X6,X5))) = mult(X0,mult(rd(mult(rd(ld(X0,X0),X1),X1),X5),X5)),
inference(forward_demodulation,[],[f7425,f334]) ).
fof(f7651,plain,
! [X2,X0,X1,X6,X5] : mult(rd(X0,rd(X2,X1)),mult(rd(rd(X2,X1),rd(X6,X5)),rd(X6,X5))) = mult(ld(X0,X0),mult(rd(mult(rd(X0,X1),X1),X5),X5)),
inference(forward_demodulation,[],[f7426,f334]) ).
fof(f7813,plain,
! [X3,X0,X1] : mult(X0,mult(rd(X1,rd(X3,sK1)),rd(X3,sK1))) = mult(X0,mult(rd(X1,sF7),sF7)),
inference(forward_demodulation,[],[f7610,f7607]) ).
fof(f7839,plain,
! [X2,X0,X1,X6,X5] : mult(rd(X0,rd(X2,X1)),mult(rd(rd(X2,X1),rd(X6,X5)),rd(X6,X5))) = mult(X0,mult(rd(ld(X0,X0),X1),mult(rd(X1,X5),X5))),
inference(forward_demodulation,[],[f7650,f334]) ).
fof(f7840,plain,
! [X2,X0,X1,X6,X5] : mult(rd(X0,rd(X2,X1)),mult(rd(rd(X2,X1),rd(X6,X5)),rd(X6,X5))) = mult(X0,ld(X0,mult(rd(mult(rd(X0,X1),X1),X5),X5))),
inference(forward_demodulation,[],[f7651,f2413]) ).
fof(f7942,plain,
! [X0,X1] : mult(X0,mult(rd(X1,sK1),sK1)) = mult(X0,mult(rd(X1,sF7),sF7)),
inference(forward_demodulation,[],[f7813,f1082]) ).
fof(f7962,plain,
! [X2,X0,X1,X6,X5] : mult(rd(X0,rd(X2,X1)),mult(rd(rd(X2,X1),rd(X6,X5)),rd(X6,X5))) = mult(X0,mult(X0,ld(X0,ld(X5,X5)))),
inference(forward_demodulation,[],[f7839,f5230]) ).
fof(f7963,plain,
! [X2,X0,X1,X6,X5] : mult(rd(X0,rd(X2,X1)),mult(rd(rd(X2,X1),rd(X6,X5)),rd(X6,X5))) = mult(X0,mult(rd(ld(X0,mult(rd(X0,X1),X1)),X5),X5)),
inference(forward_demodulation,[],[f7840,f1580]) ).
fof(f8046,plain,
! [X0,X1] : mult(X0,mult(rd(X1,sF8),sF8)) = mult(X0,mult(rd(X1,sF7),sF7)),
inference(forward_demodulation,[],[f7942,f2017]) ).
fof(f8057,plain,
! [X2,X0,X1,X6,X5] : mult(rd(X0,rd(X2,X1)),mult(rd(rd(X2,X1),rd(X6,X5)),rd(X6,X5))) = mult(rd(X0,X5),X5),
inference(forward_demodulation,[],[f7962,f1128]) ).
fof(f8058,plain,
! [X2,X0,X1,X6,X5] : mult(rd(X0,rd(X2,X1)),mult(rd(rd(X2,X1),rd(X6,X5)),rd(X6,X5))) = mult(X0,mult(rd(mult(X0,ld(X0,ld(X1,X1))),X5),X5)),
inference(forward_demodulation,[],[f7963,f5018]) ).
fof(f8121,plain,
! [X0,X1,X6,X5] : mult(rd(X0,X1),mult(rd(X1,rd(X6,X5)),rd(X6,X5))) = mult(rd(X0,X5),X5),
inference(forward_demodulation,[],[f8057,f6581]) ).
fof(f8122,plain,
! [X2,X0,X1,X6,X5] : mult(rd(X0,rd(X2,X1)),mult(rd(rd(X2,X1),rd(X6,X5)),rd(X6,X5))) = mult(X0,mult(X0,mult(rd(ld(X0,ld(X1,X1)),X5),X5))),
inference(forward_demodulation,[],[f8058,f334]) ).
fof(f8167,plain,
! [X0,X1,X5] : mult(rd(X0,X1),mult(rd(X1,X5),X5)) = mult(rd(X0,X5),X5),
inference(forward_demodulation,[],[f8121,f1082]) ).
fof(f8168,plain,
! [X2,X0,X1,X6,X5] : mult(rd(X0,rd(X2,X1)),mult(rd(rd(X2,X1),rd(X6,X5)),rd(X6,X5))) = mult(X0,mult(rd(ld(X1,X1),X5),X5)),
inference(forward_demodulation,[],[f8122,f1777]) ).
fof(f8191,plain,
! [X2,X0,X1,X6,X5] : mult(rd(X0,rd(X2,X1)),mult(rd(rd(X2,X1),rd(X6,X5)),rd(X6,X5))) = mult(X0,mult(X1,ld(X1,ld(X5,X5)))),
inference(forward_demodulation,[],[f8168,f551]) ).
fof(f8206,plain,
! [X0,X1,X6,X5] : mult(rd(X0,X1),mult(rd(X1,rd(X6,X5)),rd(X6,X5))) = mult(X0,mult(X1,ld(X1,ld(X5,X5)))),
inference(forward_demodulation,[],[f8191,f6581]) ).
fof(f8212,plain,
! [X0,X1,X6,X5] : mult(X0,mult(X1,ld(X1,ld(X5,X5)))) = mult(rd(X0,rd(X6,X5)),rd(X6,X5)),
inference(forward_demodulation,[],[f8206,f8167]) ).
fof(f8215,plain,
! [X0,X1,X5] : mult(rd(X0,X5),X5) = mult(X0,mult(X1,ld(X1,ld(X5,X5)))),
inference(forward_demodulation,[],[f8212,f1241]) ).
fof(f8923,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = mult(rd(X0,X1),X1),
inference(superposition,[],[f1662,f8215]) ).
fof(f8929,plain,
! [X2,X0,X1] : mult(rd(mult(rd(X0,X1),X1),sF8),sF8) = mult(X0,mult(rd(mult(X2,ld(X2,ld(X1,X1))),sK1),sK1)),
inference(superposition,[],[f185,f8215]) ).
fof(f8934,plain,
! [X2,X3,X0,X1] : mult(rd(mult(rd(X0,X1),X1),X3),X3) = mult(X0,mult(rd(mult(X2,ld(X2,ld(X1,X1))),X3),X3)),
inference(superposition,[],[f334,f8215]) ).
fof(f8937,plain,
! [X2,X3,X0,X1] : mult(rd(mult(X0,ld(X0,X1)),X2),X2) = mult(X0,ld(X0,mult(X1,mult(X3,ld(X3,ld(X2,X2)))))),
inference(superposition,[],[f221,f8215]) ).
fof(f8943,plain,
! [X2,X3,X0,X1] : mult(X3,mult(rd(X0,X2),X2)) = mult(X3,mult(rd(rd(X0,mult(X1,ld(X1,ld(X2,X2)))),X2),X2)),
inference(superposition,[],[f521,f8215]) ).
fof(f8954,plain,
! [X2,X3,X0,X1] : mult(rd(X3,mult(X1,ld(X1,ld(X2,X2)))),mult(X1,ld(X1,ld(X2,X2)))) = mult(rd(X3,X0),mult(rd(rd(X0,mult(X1,ld(X1,ld(X2,X2)))),X2),X2)),
inference(superposition,[],[f8167,f8215]) ).
fof(f8973,plain,
! [X2,X3,X0,X1] : mult(rd(X3,mult(X1,ld(X1,ld(X2,X2)))),mult(X1,ld(X1,ld(X2,X2)))) = mult(rd(X3,X0),rd(X0,mult(X1,ld(X1,ld(X2,X2))))),
inference(forward_demodulation,[],[f8954,f4154]) ).
fof(f8983,plain,
! [X2,X3,X0,X1] : mult(X3,mult(rd(X0,X2),X2)) = mult(X3,rd(X0,mult(X1,ld(X1,ld(X2,X2))))),
inference(forward_demodulation,[],[f8943,f4154]) ).
fof(f8989,plain,
! [X2,X0,X1] : mult(X0,ld(X0,mult(rd(X1,X2),X2))) = mult(rd(mult(X0,ld(X0,X1)),X2),X2),
inference(forward_demodulation,[],[f8937,f8215]) ).
fof(f8992,plain,
! [X2,X3,X0,X1] : mult(rd(mult(rd(X0,X1),X1),X3),X3) = mult(X0,mult(X2,mult(rd(ld(X2,ld(X1,X1)),X3),X3))),
inference(forward_demodulation,[],[f8934,f334]) ).
fof(f8997,plain,
! [X2,X0,X1] : mult(rd(mult(rd(X0,X1),X1),sF8),sF8) = mult(X0,mult(rd(mult(X2,ld(X2,ld(X1,X1))),sF8),sF8)),
inference(forward_demodulation,[],[f8929,f2017]) ).
fof(f9034,plain,
! [X2,X3,X0,X1] : mult(rd(X3,X2),X2) = mult(rd(X3,X0),rd(X0,mult(X1,ld(X1,ld(X2,X2))))),
inference(forward_demodulation,[],[f8973,f2062]) ).
fof(f9044,plain,
! [X2,X3,X0,X1] : mult(X3,rd(X0,mult(X1,ld(X1,ld(X2,X2))))) = mult(X3,mult(X0,ld(X2,X2))),
inference(forward_demodulation,[],[f8983,f8923]) ).
fof(f9050,plain,
! [X2,X0,X1] : mult(X0,ld(X0,mult(rd(X1,X2),X2))) = mult(mult(X0,ld(X0,X1)),ld(X2,X2)),
inference(forward_demodulation,[],[f8989,f8923]) ).
fof(f9052,plain,
! [X2,X3,X0,X1] : mult(rd(mult(rd(X0,X1),X1),X3),X3) = mult(X0,mult(X2,ld(X2,ld(X3,X3)))),
inference(forward_demodulation,[],[f8992,f4348]) ).
fof(f9057,plain,
! [X2,X0,X1] : mult(rd(mult(rd(X0,X1),X1),sF8),sF8) = mult(X0,mult(rd(mult(X2,ld(X2,ld(X1,X1))),sF7),sF7)),
inference(forward_demodulation,[],[f8997,f8046]) ).
fof(f9089,plain,
! [X2,X3,X0,X1] : mult(rd(X3,X0),rd(X0,mult(X1,ld(X1,ld(X2,X2))))) = mult(X3,ld(X2,X2)),
inference(forward_demodulation,[],[f9034,f8923]) ).
fof(f9097,plain,
! [X2,X0,X1] : mult(X0,ld(X0,mult(rd(X1,X2),X2))) = mult(X0,ld(X0,mult(X1,ld(X2,X2)))),
inference(forward_demodulation,[],[f9050,f221]) ).
fof(f9099,plain,
! [X3,X0,X1] : mult(rd(mult(rd(X0,X1),X1),X3),X3) = mult(rd(X0,X3),X3),
inference(forward_demodulation,[],[f9052,f8215]) ).
fof(f9103,plain,
! [X2,X0,X1] : mult(rd(mult(rd(X0,X1),X1),sF8),sF8) = mult(X0,mult(mult(X2,ld(X2,ld(X1,X1))),ld(sF7,sF7))),
inference(forward_demodulation,[],[f9057,f8923]) ).
fof(f9124,plain,
! [X2,X3,X0] : mult(X3,ld(X2,X2)) = mult(rd(X3,X0),mult(X0,ld(X2,X2))),
inference(forward_demodulation,[],[f9089,f9044]) ).
fof(f9130,plain,
! [X2,X0,X1] : mult(X0,mult(rd(ld(X0,X1),X2),X2)) = mult(X0,ld(X0,mult(X1,ld(X2,X2)))),
inference(forward_demodulation,[],[f9097,f1580]) ).
fof(f9132,plain,
! [X3,X0,X1] : mult(rd(mult(rd(X0,X1),X1),X3),X3) = mult(X0,ld(X3,X3)),
inference(forward_demodulation,[],[f9099,f8923]) ).
fof(f9135,plain,
! [X2,X0,X1] : mult(rd(mult(rd(X0,X1),X1),sF8),sF8) = mult(X0,mult(X2,ld(X2,mult(ld(X1,X1),ld(sF7,sF7))))),
inference(forward_demodulation,[],[f9103,f221]) ).
fof(f9151,plain,
! [X2,X0,X1] : mult(X0,ld(X0,mult(X1,ld(X2,X2)))) = mult(X0,mult(ld(X0,X1),ld(X2,X2))),
inference(forward_demodulation,[],[f9130,f8923]) ).
fof(f9153,plain,
! [X3,X0,X1] : mult(X0,ld(X3,X3)) = mult(mult(rd(X0,X1),X1),ld(X3,X3)),
inference(forward_demodulation,[],[f9132,f8923]) ).
fof(f9156,plain,
! [X2,X0,X1] : mult(rd(mult(rd(X0,X1),X1),sF8),sF8) = mult(X0,mult(X2,ld(X2,mult(X1,ld(X1,ld(sF7,sF7)))))),
inference(forward_demodulation,[],[f9135,f2413]) ).
fof(f9167,plain,
! [X3,X0,X1] : mult(X0,ld(X3,X3)) = mult(mult(X0,ld(X1,X1)),ld(X3,X3)),
inference(forward_demodulation,[],[f9153,f8923]) ).
fof(f9170,plain,
! [X2,X0,X1] : mult(rd(mult(rd(X0,X1),X1),sF8),sF8) = mult(X0,mult(X2,mult(rd(ld(X2,ld(X1,X1)),sF7),sF7))),
inference(forward_demodulation,[],[f9156,f3368]) ).
fof(f9181,plain,
! [X2,X0,X1] : mult(rd(mult(rd(X0,X1),X1),sF8),sF8) = mult(X0,mult(X2,ld(X2,ld(sF7,sF7)))),
inference(forward_demodulation,[],[f9170,f4348]) ).
fof(f9188,plain,
! [X0,X1] : mult(rd(mult(rd(X0,X1),X1),sF8),sF8) = mult(rd(X0,sF7),sF7),
inference(forward_demodulation,[],[f9181,f8215]) ).
fof(f9193,plain,
! [X0,X1] : mult(rd(mult(rd(X0,X1),X1),sF8),sF8) = mult(X0,ld(sF7,sF7)),
inference(forward_demodulation,[],[f9188,f8923]) ).
fof(f9198,plain,
! [X0,X1] : mult(X0,ld(sF7,sF7)) = mult(mult(rd(X0,X1),X1),ld(sF8,sF8)),
inference(forward_demodulation,[],[f9193,f8923]) ).
fof(f9201,plain,
! [X0,X1] : mult(X0,ld(sF7,sF7)) = mult(mult(X0,ld(X1,X1)),ld(sF8,sF8)),
inference(forward_demodulation,[],[f9198,f8923]) ).
fof(f9204,plain,
! [X0] : mult(X0,ld(sF8,sF8)) = mult(X0,ld(sF7,sF7)),
inference(forward_demodulation,[],[f9201,f9167]) ).
fof(f9209,plain,
mult(sF8,sK1) = mult(sF7,ld(sK1,sK1)),
inference(superposition,[],[f8923,f31]) ).
fof(f9244,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,ld(X1,X1)),X1),
inference(superposition,[],[f2296,f8923]) ).
fof(f9248,plain,
! [X2,X3,X0,X1] : mult(X3,mult(rd(X0,X2),X2)) = mult(X3,mult(X0,ld(mult(X1,X2),mult(X1,X2)))),
inference(superposition,[],[f7607,f8923]) ).
fof(f9259,plain,
! [X2,X0,X1] : mult(X0,mult(rd(X1,X2),X2)) = mult(mult(X0,X1),ld(X2,X2)),
inference(superposition,[],[f334,f8923]) ).
fof(f9315,plain,
! [X2,X0,X1] : mult(mult(X0,X1),ld(X2,X2)) = mult(X0,mult(X1,ld(X2,X2))),
inference(forward_demodulation,[],[f9259,f8923]) ).
fof(f9325,plain,
! [X2,X3,X0,X1] : mult(X3,mult(X0,ld(X2,X2))) = mult(X3,mult(X0,ld(mult(X1,X2),mult(X1,X2)))),
inference(forward_demodulation,[],[f9248,f8923]) ).
fof(f9353,plain,
sF7 = mult(sF7,ld(sK1,sK1)),
inference(forward_demodulation,[],[f9209,f2593]) ).
fof(f9532,plain,
ld(sF8,sF8) = mult(ld(ld(sF8,sF8),ld(sF8,sF8)),ld(sF7,sF7)),
inference(superposition,[],[f536,f9204]) ).
fof(f9533,plain,
! [X0] : mult(X0,ld(X0,ld(sF8,sF8))) = mult(ld(X0,X0),ld(sF7,sF7)),
inference(superposition,[],[f2413,f9204]) ).
fof(f9579,plain,
! [X0] : mult(X0,ld(X0,ld(sF8,sF8))) = mult(X0,ld(X0,ld(sF7,sF7))),
inference(forward_demodulation,[],[f9533,f2413]) ).
fof(f9580,plain,
ld(sF8,sF8) = mult(ld(sF8,sF8),ld(ld(sF8,sF8),ld(sF7,sF7))),
inference(forward_demodulation,[],[f9532,f2413]) ).
fof(f9635,plain,
ld(sF8,sF8) = mult(sF8,ld(sF8,ld(sF7,sF7))),
inference(forward_demodulation,[],[f9580,f550]) ).
fof(f11443,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X1,X1)),X1) = mult(mult(X0,ld(X2,X2)),X1),
inference(superposition,[],[f9244,f9167]) ).
fof(f11539,plain,
! [X2,X0,X1] : mult(X0,X1) = mult(mult(X0,ld(X2,X2)),X1),
inference(forward_demodulation,[],[f11443,f9244]) ).
fof(f11668,plain,
! [X2,X0,X1] : mult(ld(X0,X0),X2) = mult(mult(X0,ld(X0,ld(X1,X1))),X2),
inference(superposition,[],[f11539,f2413]) ).
fof(f11817,plain,
! [X2,X0,X1] : mult(ld(X0,X0),X2) = mult(X0,ld(X0,mult(ld(X1,X1),X2))),
inference(forward_demodulation,[],[f11668,f221]) ).
fof(f11872,plain,
! [X2,X0,X1] : mult(ld(X0,X0),X2) = mult(X0,ld(X0,mult(X1,ld(X1,X2)))),
inference(forward_demodulation,[],[f11817,f2413]) ).
fof(f11910,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = mult(X0,ld(X0,mult(X1,ld(X1,X2)))),
inference(forward_demodulation,[],[f11872,f2413]) ).
fof(f12274,plain,
mult(sK0,ld(sK0,ld(sK1,sK1))) = ld(sK0,sF8),
inference(superposition,[],[f5018,f308]) ).
fof(f12342,plain,
ld(sK0,sF8) = mult(sK0,ld(sK0,ld(sF8,sF8))),
inference(forward_demodulation,[],[f12274,f6124]) ).
fof(f12393,plain,
ld(sK0,sF8) = mult(sK0,ld(sK0,ld(sF7,sF7))),
inference(forward_demodulation,[],[f12342,f9579]) ).
fof(f13532,plain,
! [X2,X3,X0,X1] : mult(mult(ld(X0,X3),ld(ld(X0,X3),sK0)),ld(sK0,sK2)) = mult(mult(mult(X0,ld(X0,X1)),X2),ld(mult(mult(X0,ld(X0,X1)),X2),ld(sK0,sF6))),
inference(superposition,[],[f49,f194]) ).
fof(f13539,plain,
! [X2,X3,X0,X1] : mult(mult(ld(X0,X3),ld(ld(X0,X3),sK1)),ld(sK1,sK2)) = mult(mult(mult(X0,ld(X0,X1)),X2),ld(mult(mult(X0,ld(X0,X1)),X2),sF4)),
inference(superposition,[],[f49,f207]) ).
fof(f13838,plain,
! [X2,X3,X0,X1] : mult(mult(ld(X0,X3),ld(ld(X0,X3),sK1)),ld(sK1,sK2)) = mult(mult(X0,ld(X0,mult(X1,X2))),ld(mult(X0,ld(X0,mult(X1,X2))),sF4)),
inference(forward_demodulation,[],[f13539,f221]) ).
fof(f13845,plain,
! [X2,X3,X0,X1] : mult(mult(ld(X0,X3),ld(ld(X0,X3),sK0)),ld(sK0,sK2)) = mult(mult(X0,ld(X0,mult(X1,X2))),ld(mult(X0,ld(X0,mult(X1,X2))),ld(sK0,sF6))),
inference(forward_demodulation,[],[f13532,f221]) ).
fof(f14125,plain,
! [X2,X3,X0,X1] : mult(mult(ld(X0,X3),ld(ld(X0,X3),sK1)),ld(sK1,sK2)) = mult(X0,ld(X0,mult(mult(X1,X2),ld(mult(X0,ld(X0,mult(X1,X2))),sF4)))),
inference(forward_demodulation,[],[f13838,f221]) ).
fof(f14132,plain,
! [X2,X3,X0,X1] : mult(mult(ld(X0,X3),ld(ld(X0,X3),sK0)),ld(sK0,sK2)) = mult(X0,ld(X0,mult(mult(X1,X2),ld(mult(X0,ld(X0,mult(X1,X2))),ld(sK0,sF6))))),
inference(forward_demodulation,[],[f13845,f221]) ).
fof(f14402,plain,
! [X3,X0] : mult(X0,ld(X0,sF4)) = mult(mult(ld(X0,X3),ld(ld(X0,X3),sK1)),ld(sK1,sK2)),
inference(forward_demodulation,[],[f14125,f588]) ).
fof(f14409,plain,
! [X3,X0] : mult(X0,ld(X0,ld(sK0,sF6))) = mult(mult(ld(X0,X3),ld(ld(X0,X3),sK0)),ld(sK0,sK2)),
inference(forward_demodulation,[],[f14132,f588]) ).
fof(f14656,plain,
! [X3,X0] : mult(X0,ld(X0,sF4)) = mult(ld(X0,X3),ld(ld(X0,X3),mult(sK1,ld(sK1,sK2)))),
inference(forward_demodulation,[],[f14402,f221]) ).
fof(f14660,plain,
! [X3,X0] : mult(X0,ld(X0,ld(sK0,sF6))) = mult(ld(X0,X3),ld(ld(X0,X3),mult(sK0,ld(sK0,sK2)))),
inference(forward_demodulation,[],[f14409,f221]) ).
fof(f14884,plain,
! [X0] : mult(mult(X0,ld(X0,sK1)),ld(sK1,sK2)) = mult(X0,ld(X0,sF4)),
inference(forward_demodulation,[],[f14656,f204]) ).
fof(f14888,plain,
! [X0] : mult(mult(X0,ld(X0,sK0)),ld(sK0,sK2)) = mult(X0,ld(X0,ld(sK0,sF6))),
inference(forward_demodulation,[],[f14660,f204]) ).
fof(f15083,plain,
! [X0] : mult(X0,ld(X0,sF4)) = mult(X0,ld(X0,mult(sK1,ld(sK1,sK2)))),
inference(forward_demodulation,[],[f14884,f221]) ).
fof(f15087,plain,
! [X0] : mult(X0,ld(X0,ld(sK0,sF6))) = mult(X0,ld(X0,mult(sK0,ld(sK0,sK2)))),
inference(forward_demodulation,[],[f14888,f221]) ).
fof(f15261,plain,
! [X0] : mult(X0,ld(X0,sF4)) = mult(X0,ld(X0,sK2)),
inference(forward_demodulation,[],[f15083,f11910]) ).
fof(f15265,plain,
! [X0] : mult(X0,ld(X0,ld(sK0,sF6))) = mult(X0,ld(X0,sK2)),
inference(forward_demodulation,[],[f15087,f11910]) ).
fof(f15400,plain,
! [X0] : mult(X0,ld(X0,sF4)) = mult(X0,ld(X0,ld(sK0,sF6))),
inference(forward_demodulation,[],[f15265,f15261]) ).
fof(f15722,plain,
! [X0] : mult(X0,sK2) = mult(X0,mult(X0,ld(X0,sF4))),
inference(superposition,[],[f1662,f15261]) ).
fof(f15807,plain,
! [X0] : mult(X0,sF4) = mult(X0,sK2),
inference(forward_demodulation,[],[f15722,f1662]) ).
fof(f16033,plain,
mult(sK0,sF4) = sF6,
inference(superposition,[],[f27,f15807]) ).
fof(f16036,plain,
sF9 = mult(sF8,sF4),
inference(superposition,[],[f33,f15807]) ).
fof(f16038,plain,
sF5 = sF6,
inference(forward_demodulation,[],[f16033,f25]) ).
fof(f16097,plain,
spl10_2,
inference(avatar_split_clause,[],[f16038,f40]) ).
fof(f17393,plain,
! [X0] : mult(X0,mult(X0,ld(X0,sF4))) = mult(X0,ld(sK0,sF6)),
inference(superposition,[],[f1662,f15400]) ).
fof(f17474,plain,
! [X0] : mult(X0,sF4) = mult(X0,ld(sK0,sF6)),
inference(forward_demodulation,[],[f17393,f1662]) ).
fof(f18231,plain,
rd(sF7,sF7) = mult(sK0,ld(sK0,ld(sF7,sF7))),
inference(superposition,[],[f2475,f6318]) ).
fof(f18325,plain,
rd(sF7,sF7) = ld(sK0,sF8),
inference(forward_demodulation,[],[f18231,f12393]) ).
fof(f18405,plain,
ld(sF7,sF7) = ld(sK0,sF8),
inference(forward_demodulation,[],[f18325,f515]) ).
fof(f18740,plain,
! [X0] : mult(mult(sK0,ld(sF7,sF7)),X0) = mult(sK0,ld(sK0,mult(sF8,X0))),
inference(superposition,[],[f221,f18405]) ).
fof(f18751,plain,
! [X0] : mult(mult(sK0,ld(sF7,sF7)),X0) = mult(sF7,ld(sF7,mult(sF8,X0))),
inference(forward_demodulation,[],[f18740,f6352]) ).
fof(f18767,plain,
! [X0] : mult(sK0,X0) = mult(sF7,ld(sF7,mult(sF8,X0))),
inference(forward_demodulation,[],[f18751,f11539]) ).
fof(f19449,plain,
! [X2,X3,X0,X1] : mult(ld(rd(X0,X2),X3),ld(ld(rd(X0,X2),X3),mult(rd(X0,X1),X1))) = mult(mult(rd(X0,X2),mult(rd(X0,X2),ld(rd(X0,X2),mult(rd(X2,X1),X1)))),ld(mult(rd(X0,X1),X1),mult(rd(X0,X1),X1))),
inference(superposition,[],[f200,f8167]) ).
fof(f19465,plain,
! [X2,X0,X1] : mult(ld(rd(mult(X0,X1),sF8),X2),ld(ld(rd(mult(X0,X1),sF8),X2),mult(X0,mult(rd(X1,sK1),sK1)))) = mult(mult(rd(mult(X0,X1),sF8),mult(rd(mult(X0,X1),sF8),ld(rd(mult(X0,X1),sF8),sF8))),ld(mult(X0,mult(rd(X1,sK1),sK1)),mult(X0,mult(rd(X1,sK1),sK1)))),
inference(superposition,[],[f200,f185]) ).
fof(f19498,plain,
! [X0] : mult(ld(sF8,X0),ld(ld(sF8,X0),sF7)) = mult(mult(sF8,mult(sF8,ld(sF8,sK1))),ld(sF7,sF7)),
inference(superposition,[],[f200,f2593]) ).
fof(f19598,plain,
! [X0] : mult(ld(sF8,X0),ld(ld(sF8,X0),sF7)) = mult(sF8,ld(sF8,mult(mult(sF8,sK1),ld(sF7,sF7)))),
inference(forward_demodulation,[],[f19498,f1585]) ).
fof(f19631,plain,
! [X2,X0,X1] : mult(ld(rd(mult(X0,X1),sF8),X2),ld(ld(rd(mult(X0,X1),sF8),X2),mult(X0,mult(rd(X1,sK1),sK1)))) = mult(rd(mult(X0,X1),sF8),ld(rd(mult(X0,X1),sF8),mult(mult(rd(mult(X0,X1),sF8),sF8),ld(mult(X0,mult(rd(X1,sK1),sK1)),mult(X0,mult(rd(X1,sK1),sK1)))))),
inference(forward_demodulation,[],[f19465,f1585]) ).
fof(f19647,plain,
! [X2,X3,X0,X1] : mult(ld(rd(X0,X2),X3),ld(ld(rd(X0,X2),X3),mult(rd(X0,X1),X1))) = mult(rd(X0,X2),ld(rd(X0,X2),mult(mult(rd(X0,X2),mult(rd(X2,X1),X1)),ld(mult(rd(X0,X1),X1),mult(rd(X0,X1),X1))))),
inference(forward_demodulation,[],[f19449,f1585]) ).
fof(f19822,plain,
! [X0] : mult(ld(sF8,X0),ld(ld(sF8,X0),sF7)) = mult(sF8,mult(ld(sF8,mult(sF8,sK1)),ld(sF7,sF7))),
inference(forward_demodulation,[],[f19598,f9151]) ).
fof(f19855,plain,
! [X2,X0,X1] : mult(ld(rd(mult(X0,X1),sF8),X2),ld(ld(rd(mult(X0,X1),sF8),X2),mult(X0,mult(rd(X1,sK1),sK1)))) = mult(rd(mult(X0,X1),sF8),mult(ld(rd(mult(X0,X1),sF8),mult(rd(mult(X0,X1),sF8),sF8)),ld(mult(X0,mult(rd(X1,sK1),sK1)),mult(X0,mult(rd(X1,sK1),sK1))))),
inference(forward_demodulation,[],[f19631,f9151]) ).
fof(f19871,plain,
! [X2,X3,X0,X1] : mult(ld(rd(X0,X2),X3),ld(ld(rd(X0,X2),X3),mult(rd(X0,X1),X1))) = mult(rd(X0,X2),mult(ld(rd(X0,X2),mult(rd(X0,X2),mult(rd(X2,X1),X1))),ld(mult(rd(X0,X1),X1),mult(rd(X0,X1),X1)))),
inference(forward_demodulation,[],[f19647,f9151]) ).
fof(f20032,plain,
! [X0] : mult(ld(sF8,X0),ld(ld(sF8,X0),sF7)) = mult(sF8,mult(mult(sF8,ld(sF8,sK1)),ld(sF7,sF7))),
inference(forward_demodulation,[],[f19822,f14]) ).
fof(f20065,plain,
! [X2,X0,X1] : mult(ld(rd(mult(X0,X1),sF8),X2),ld(ld(rd(mult(X0,X1),sF8),X2),mult(X0,mult(rd(X1,sK1),sK1)))) = mult(rd(mult(X0,X1),sF8),mult(ld(rd(mult(X0,X1),sF8),mult(rd(mult(X0,X1),sF8),sF8)),ld(mult(rd(X1,sK1),sK1),mult(rd(X1,sK1),sK1)))),
inference(forward_demodulation,[],[f19855,f9325]) ).
fof(f20081,plain,
! [X2,X3,X0,X1] : mult(ld(rd(X0,X2),X3),ld(ld(rd(X0,X2),X3),mult(rd(X0,X1),X1))) = mult(rd(X0,X2),mult(ld(rd(X0,X2),mult(rd(X0,X2),mult(rd(X2,X1),X1))),ld(X1,X1))),
inference(forward_demodulation,[],[f19871,f9325]) ).
fof(f20229,plain,
! [X0] : mult(ld(sF8,X0),ld(ld(sF8,X0),sF7)) = mult(sF8,mult(sF8,ld(sF8,mult(sK1,ld(sF7,sF7))))),
inference(forward_demodulation,[],[f20032,f221]) ).
fof(f20261,plain,
! [X2,X0,X1] : mult(ld(rd(mult(X0,X1),sF8),X2),ld(ld(rd(mult(X0,X1),sF8),X2),mult(X0,mult(rd(X1,sK1),sK1)))) = mult(rd(mult(X0,X1),sF8),mult(ld(rd(mult(X0,X1),sF8),mult(rd(mult(X0,X1),sF8),sF8)),ld(sK1,sK1))),
inference(forward_demodulation,[],[f20065,f9325]) ).
fof(f20277,plain,
! [X2,X3,X0,X1] : mult(ld(rd(X0,X2),X3),ld(ld(rd(X0,X2),X3),mult(rd(X0,X1),X1))) = mult(rd(X0,X2),mult(mult(rd(X0,X2),ld(rd(X0,X2),mult(rd(X2,X1),X1))),ld(X1,X1))),
inference(forward_demodulation,[],[f20081,f14]) ).
fof(f20419,plain,
! [X0] : mult(ld(sF8,X0),ld(ld(sF8,X0),sF7)) = mult(sF8,mult(sK1,ld(sF7,sF7))),
inference(forward_demodulation,[],[f20229,f1662]) ).
fof(f20449,plain,
! [X2,X0,X1] : mult(ld(rd(mult(X0,X1),sF8),X2),ld(ld(rd(mult(X0,X1),sF8),X2),mult(X0,mult(rd(X1,sK1),sK1)))) = mult(rd(mult(X0,X1),sF8),mult(mult(rd(mult(X0,X1),sF8),ld(rd(mult(X0,X1),sF8),sF8)),ld(sK1,sK1))),
inference(forward_demodulation,[],[f20261,f14]) ).
fof(f20464,plain,
! [X2,X3,X0,X1] : mult(ld(rd(X0,X2),X3),ld(ld(rd(X0,X2),X3),mult(rd(X0,X1),X1))) = mult(rd(X0,X2),mult(rd(X0,X2),ld(rd(X0,X2),mult(mult(rd(X2,X1),X1),ld(X1,X1))))),
inference(forward_demodulation,[],[f20277,f221]) ).
fof(f20600,plain,
mult(sF8,mult(sK1,ld(sF7,sF7))) = mult(mult(sF8,ld(sF8,sK0)),sK1),
inference(forward_demodulation,[],[f20419,f130]) ).
fof(f20630,plain,
! [X2,X0,X1] : mult(ld(rd(mult(X0,X1),sF8),X2),ld(ld(rd(mult(X0,X1),sF8),X2),mult(X0,mult(rd(X1,sK1),sK1)))) = mult(rd(mult(X0,X1),sF8),mult(rd(mult(X0,X1),sF8),ld(rd(mult(X0,X1),sF8),mult(sF8,ld(sK1,sK1))))),
inference(forward_demodulation,[],[f20449,f221]) ).
fof(f20644,plain,
! [X2,X3,X0,X1] : mult(ld(rd(X0,X2),X3),ld(ld(rd(X0,X2),X3),mult(rd(X0,X1),X1))) = mult(rd(X0,X2),mult(mult(rd(X2,X1),X1),ld(X1,X1))),
inference(forward_demodulation,[],[f20464,f1662]) ).
fof(f20777,plain,
mult(sF8,mult(sK1,ld(sF7,sF7))) = mult(sF8,ld(sF8,mult(sK0,sK1))),
inference(forward_demodulation,[],[f20600,f221]) ).
fof(f20807,plain,
! [X2,X0,X1] : mult(ld(rd(mult(X0,X1),sF8),X2),ld(ld(rd(mult(X0,X1),sF8),X2),mult(X0,mult(rd(X1,sK1),sK1)))) = mult(rd(mult(X0,X1),sF8),mult(sF8,ld(sK1,sK1))),
inference(forward_demodulation,[],[f20630,f1662]) ).
fof(f20821,plain,
! [X2,X3,X0,X1] : mult(ld(rd(X0,X2),X3),ld(ld(rd(X0,X2),X3),mult(rd(X0,X1),X1))) = mult(rd(X0,X2),mult(rd(X2,X1),mult(X1,ld(X1,X1)))),
inference(forward_demodulation,[],[f20644,f9315]) ).
fof(f20943,plain,
mult(sF8,mult(sK1,ld(sF7,sF7))) = mult(sF8,ld(sF8,sF7)),
inference(forward_demodulation,[],[f20777,f29]) ).
fof(f20970,plain,
! [X2,X0,X1] : mult(ld(rd(mult(X0,X1),sF8),X2),ld(ld(rd(mult(X0,X1),sF8),X2),mult(X0,mult(rd(X1,sK1),sK1)))) = mult(mult(X0,X1),ld(sK1,sK1)),
inference(forward_demodulation,[],[f20807,f9124]) ).
fof(f20984,plain,
! [X2,X3,X0,X1] : mult(ld(rd(X0,X2),X3),ld(ld(rd(X0,X2),X3),mult(rd(X0,X1),X1))) = mult(rd(X0,X2),mult(X2,ld(X1,X1))),
inference(forward_demodulation,[],[f20821,f9124]) ).
fof(f21124,plain,
! [X2,X0,X1] : mult(ld(rd(mult(X0,X1),sF8),X2),ld(ld(rd(mult(X0,X1),sF8),X2),mult(X0,mult(rd(X1,sK1),sK1)))) = mult(X0,mult(X1,ld(sK1,sK1))),
inference(forward_demodulation,[],[f20970,f9315]) ).
fof(f21137,plain,
! [X2,X3,X0,X1] : mult(X0,ld(X1,X1)) = mult(ld(rd(X0,X2),X3),ld(ld(rd(X0,X2),X3),mult(rd(X0,X1),X1))),
inference(forward_demodulation,[],[f20984,f9124]) ).
fof(f21265,plain,
! [X0,X1] : mult(X0,mult(X1,ld(sK1,sK1))) = mult(mult(rd(mult(X0,X1),sF8),ld(rd(mult(X0,X1),sF8),X0)),mult(rd(X1,sK1),sK1)),
inference(forward_demodulation,[],[f21124,f204]) ).
fof(f21278,plain,
! [X2,X0,X1] : mult(X0,ld(X1,X1)) = mult(mult(rd(X0,X2),ld(rd(X0,X2),rd(X0,X1))),X1),
inference(forward_demodulation,[],[f21137,f204]) ).
fof(f21390,plain,
! [X0,X1] : mult(X0,mult(X1,ld(sK1,sK1))) = mult(rd(mult(X0,X1),sF8),ld(rd(mult(X0,X1),sF8),mult(X0,mult(rd(X1,sK1),sK1)))),
inference(forward_demodulation,[],[f21265,f221]) ).
fof(f21403,plain,
! [X2,X0,X1] : mult(X0,ld(X1,X1)) = mult(rd(X0,X2),ld(rd(X0,X2),mult(rd(X0,X1),X1))),
inference(forward_demodulation,[],[f21278,f221]) ).
fof(f21500,plain,
! [X0,X1] : mult(X0,mult(X1,ld(sK1,sK1))) = mult(rd(mult(X0,X1),sF8),mult(rd(ld(rd(mult(X0,X1),sF8),mult(X0,X1)),sK1),sK1)),
inference(forward_demodulation,[],[f21390,f1380]) ).
fof(f21512,plain,
! [X2,X0,X1] : mult(X0,ld(X1,X1)) = mult(rd(X0,X2),mult(rd(ld(rd(X0,X2),X0),X1),X1)),
inference(forward_demodulation,[],[f21403,f1580]) ).
fof(f21592,plain,
! [X0,X1] : mult(X0,mult(X1,ld(sK1,sK1))) = mult(rd(mult(X0,X1),sF8),mult(rd(ld(rd(mult(X0,X1),sF8),mult(X0,X1)),sF8),sF8)),
inference(forward_demodulation,[],[f21500,f2017]) ).
fof(f21602,plain,
! [X2,X0,X1] : mult(X0,ld(X1,X1)) = mult(rd(X0,X2),mult(ld(rd(X0,X2),X0),ld(X1,X1))),
inference(forward_demodulation,[],[f21512,f8923]) ).
fof(f21660,plain,
! [X0,X1] : mult(X0,mult(X1,ld(sK1,sK1))) = mult(rd(mult(X0,X1),sF8),mult(rd(ld(rd(mult(X0,X1),sF8),mult(X0,X1)),sF7),sF7)),
inference(forward_demodulation,[],[f21592,f8046]) ).
fof(f21709,plain,
! [X0,X1] : mult(X0,mult(X1,ld(sK1,sK1))) = mult(rd(mult(X0,X1),sF8),mult(ld(rd(mult(X0,X1),sF8),mult(X0,X1)),ld(sF7,sF7))),
inference(forward_demodulation,[],[f21660,f8923]) ).
fof(f21746,plain,
! [X0,X1] : mult(mult(X0,X1),ld(sF7,sF7)) = mult(X0,mult(X1,ld(sK1,sK1))),
inference(forward_demodulation,[],[f21709,f21602]) ).
fof(f21767,plain,
! [X0,X1] : mult(X0,mult(X1,ld(sF7,sF7))) = mult(X0,mult(X1,ld(sK1,sK1))),
inference(forward_demodulation,[],[f21746,f9315]) ).
fof(f21816,plain,
mult(sF7,ld(sK1,sK1)) = mult(mult(sF8,sK1),ld(sK1,sK1)),
inference(superposition,[],[f3400,f31]) ).
fof(f21926,plain,
mult(sF7,ld(sK1,sK1)) = mult(sF8,mult(sK1,ld(sK1,sK1))),
inference(forward_demodulation,[],[f21816,f9315]) ).
fof(f21981,plain,
mult(sF7,ld(sK1,sK1)) = mult(sF8,mult(sK1,ld(sF7,sF7))),
inference(forward_demodulation,[],[f21926,f21767]) ).
fof(f22024,plain,
mult(sF7,ld(sK1,sK1)) = mult(sF8,ld(sF8,sF7)),
inference(forward_demodulation,[],[f21981,f20943]) ).
fof(f22060,plain,
sF7 = mult(sF8,ld(sF8,sF7)),
inference(forward_demodulation,[],[f22024,f9353]) ).
fof(f22243,plain,
! [X0,X1] : mult(sF7,ld(sF7,mult(X0,X1))) = mult(mult(sF8,ld(sF8,X0)),X1),
inference(superposition,[],[f209,f22060]) ).
fof(f22245,plain,
rd(sF7,sF7) = mult(sF8,ld(sF8,ld(sF7,sF7))),
inference(superposition,[],[f2475,f22060]) ).
fof(f22275,plain,
rd(sF7,sF7) = ld(sF8,sF8),
inference(forward_demodulation,[],[f22245,f9635]) ).
fof(f22276,plain,
! [X0,X1] : mult(sF7,ld(sF7,mult(X0,X1))) = mult(sF8,ld(sF8,mult(X0,X1))),
inference(forward_demodulation,[],[f22243,f221]) ).
fof(f22293,plain,
ld(sF7,sF7) = ld(sF8,sF8),
inference(forward_demodulation,[],[f22275,f515]) ).
fof(f22363,plain,
! [X0] : mult(sF8,ld(sF8,mult(sF8,X0))) = mult(mult(sF8,ld(sF7,sF7)),X0),
inference(superposition,[],[f221,f22293]) ).
fof(f22375,plain,
! [X0] : mult(sF8,X0) = mult(sF8,ld(sF8,mult(sF8,X0))),
inference(forward_demodulation,[],[f22363,f11539]) ).
fof(f22410,plain,
! [X0] : mult(sF8,X0) = mult(sF7,ld(sF7,mult(sF8,X0))),
inference(forward_demodulation,[],[f22375,f22276]) ).
fof(f22433,plain,
! [X0] : mult(sF8,X0) = mult(sK0,X0),
inference(forward_demodulation,[],[f22410,f18767]) ).
fof(f22462,plain,
sF6 = mult(sF8,ld(sK0,sF6)),
inference(superposition,[],[f22433,f6819]) ).
fof(f22609,plain,
sF6 = mult(sF8,sF4),
inference(forward_demodulation,[],[f22462,f17474]) ).
fof(f22651,plain,
sF6 = sF9,
inference(forward_demodulation,[],[f22609,f16036]) ).
fof(f22683,plain,
( $false
| spl10_1 ),
inference(forward_subsumption_resolution,[],[f22651,f38]) ).
fof(f22684,plain,
spl10_1,
inference(avatar_contradiction_clause,[],[f22683]) ).
cnf(s1,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(sat_conversion,[],[f43]) ).
cnf(s2,plain,
spl10_2,
inference(sat_conversion,[],[f16097]) ).
cnf(s9,plain,
spl10_1,
inference(sat_conversion,[],[f22684]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s1,s2,s9]) ).
fof(f22733,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP683+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n003.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 10:37:41 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 9.56/2.26 % (322925)Detected formulas, will run a generic FOF schedule.
% 9.56/2.26 % (322935)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=588106953:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.56/2.26 % (322936)dis-21_1_sil=8000:lcm=predicate:random_seed=1543579392:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.56/2.26 % (322933)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3523147810:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.56/2.26 % (322930)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3932912913:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.56/2.26 % (322931)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2520087909:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.56/2.26 % (322932)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2765037413:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.56/2.26 % (322934)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2456302759:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.56/2.26 % (322936)Refutation not found, incomplete strategy
% 9.56/2.26 % (322936)------------------------------
% 9.56/2.26 % (322936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.26 % (322933)Refutation not found, incomplete strategy
% 9.56/2.26 % (322933)------------------------------
% 9.56/2.26 % (322933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.26 % (322933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.26 % (322936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.26 % (322933)CaDiCaL version: 2.1.3
% 9.56/2.26 % (322936)CaDiCaL version: 2.1.3
% 9.56/2.26 % (322933)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.26 % (322933)Time elapsed: 0.001 s
% 9.56/2.26 % (322936)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.26 % (322936)Time elapsed: 0.001 s
% 9.56/2.26 % (322933)Peak memory usage: 88 MB
% 9.56/2.26 % (322936)Peak memory usage: 88 MB
% 9.56/2.26 % (322933)Instructions burned: 1 (million)
% 9.56/2.26 % (322935)Instruction limit reached!
% 9.56/2.26 % (322935)------------------------------
% 9.56/2.26 % (322935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.26 % (322935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.26 % (322935)CaDiCaL version: 2.1.3
% 9.56/2.26 % (322935)Termination reason: Instruction limit
% 9.56/2.26 % (322935)Termination phase: Saturation
% 9.56/2.26 % (322935)Time elapsed: 0.045 s
% 9.56/2.26 % (322935)Peak memory usage: 90 MB
% 9.56/2.26 % (322935)Instructions burned: 141 (million)
% 9.56/2.26 % (322934)Instruction limit reached!
% 9.56/2.26 % (322934)------------------------------
% 9.56/2.26 % (322934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.26 % (322934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.26 % (322934)CaDiCaL version: 2.1.3
% 9.56/2.26 % (322934)Termination reason: Instruction limit
% 9.56/2.26 % (322934)Termination phase: Saturation
% 9.56/2.26 % (322934)Time elapsed: 0.081 s
% 9.56/2.26 % (322934)Peak memory usage: 88 MB
% 9.56/2.26 % (322934)Instructions burned: 120 (million)
% 9.56/2.26 % (322944)lrs+10_1_sil=8000:sp=occurrence:random_seed=1235571546:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.56/2.26 % (322945)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1569418289:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.56/2.26 % (322945)Instruction limit reached!
% 9.56/2.26 % (322945)------------------------------
% 9.56/2.26 % (322945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.26 % (322945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.26 % (322945)CaDiCaL version: 2.1.3
% 9.56/2.26 % (322945)Termination reason: Instruction limit
% 9.56/2.26 % (322945)Termination phase: Saturation
% 9.56/2.26 % (322945)Time elapsed: 0.049 s
% 9.56/2.26 % (322945)Peak memory usage: 90 MB
% 9.56/2.26 % (322945)Instructions burned: 159 (million)
% 12.09/2.66 % (322936)------------------------------
% 12.09/2.66 % (322936)------------------------------
% 12.09/2.66 % (322933)------------------------------
% 12.09/2.66 % (322933)------------------------------
% 12.09/2.66 % (322948)lrs+1011_1_sil=32000:sp=occurrence:random_seed=454886269:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.09/2.66 % (322944)Instruction limit reached!
% 12.09/2.66 % (322944)------------------------------
% 12.09/2.66 % (322944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.66 % (322944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.66 % (322944)CaDiCaL version: 2.1.3
% 12.09/2.66 % (322944)Termination reason: Instruction limit
% 12.09/2.66 % (322944)Termination phase: Saturation
% 12.09/2.66 % (322944)Time elapsed: 0.170 s
% 12.09/2.66 % (322944)Peak memory usage: 91 MB
% 12.09/2.66 % (322944)Instructions burned: 285 (million)
% 12.09/2.66 % (322950)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=540727325:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 12.09/2.66 % (322949)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2440245840:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 12.09/2.66 % (322950)Refutation not found, incomplete strategy
% 12.09/2.66 % (322950)------------------------------
% 12.09/2.66 % (322950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.66 % (322950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.66 % (322950)CaDiCaL version: 2.1.3
% 12.09/2.66 % (322950)Termination reason: Refutation not found, incomplete strategy
% 12.09/2.66 % (322950)Time elapsed: 0.002 s
% 12.09/2.66 % (322950)Peak memory usage: 88 MB
% 12.09/2.66 % (322950)Instructions burned: 1 (million)
% 12.09/2.66 % (322948)Instruction limit reached!
% 12.09/2.66 % (322948)------------------------------
% 12.09/2.66 % (322948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.66 % (322948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.66 % (322948)CaDiCaL version: 2.1.3
% 12.09/2.66 % (322948)Termination reason: Instruction limit
% 12.09/2.66 % (322948)Termination phase: Saturation
% 12.09/2.66 % (322948)Time elapsed: 0.104 s
% 12.09/2.66 % (322948)Peak memory usage: 92 MB
% 12.09/2.66 % (322948)Instructions burned: 328 (million)
% 12.09/2.66 % (322952)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=502941604:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 12.09/2.66 % (322955)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2993649834:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 12.09/2.66 % (322955)Refutation not found, incomplete strategy
% 12.09/2.66 % (322955)------------------------------
% 12.09/2.66 % (322955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.66 % (322955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.66 % (322955)CaDiCaL version: 2.1.3
% 12.09/2.66 % (322955)Termination reason: Refutation not found, incomplete strategy
% 12.09/2.66 % (322955)Time elapsed: 0.001 s
% 12.09/2.66 % (322955)Peak memory usage: 88 MB
% 12.09/2.66 % (322949)Instruction limit reached!
% 12.09/2.66 % (322949)------------------------------
% 12.09/2.66 % (322949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.66 % (322949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.66 % (322949)CaDiCaL version: 2.1.3
% 12.09/2.66 % (322949)Termination reason: Instruction limit
% 12.09/2.66 % (322949)Termination phase: Saturation
% 12.09/2.66 % (322949)Time elapsed: 0.157 s
% 12.09/2.66 % (322949)Peak memory usage: 91 MB
% 12.09/2.66 % (322949)Instructions burned: 249 (million)
% 12.09/2.66 % (322932)Refutation not found, incomplete strategy
% 12.09/2.66 % (322932)------------------------------
% 12.09/2.66 % (322932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.66 % (322932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.66 % (322932)CaDiCaL version: 2.1.3
% 12.09/2.66 % (322932)Termination reason: Refutation not found, incomplete strategy
% 12.09/2.66 % (322932)Time elapsed: 0.599 s
% 12.09/2.66 % (322932)Peak memory usage: 127 MB
% 12.09/2.66 % (322932)Instructions burned: 896 (million)
% 12.09/2.66 % (322950)------------------------------
% 12.09/2.66 % (322950)------------------------------
% 12.09/2.66 % (322955)------------------------------
% 12.09/2.66 % (322955)------------------------------
% 12.09/2.66 % (322958)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2383846451:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 12.09/2.66 % (322958)Refutation not found, incomplete strategy
% 12.09/2.66 % (322958)------------------------------
% 12.09/2.66 % (322958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.66 % (322958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.66 % (322958)CaDiCaL version: 2.1.3
% 12.09/2.66 % (322958)Termination reason: Refutation not found, incomplete strategy
% 12.09/2.66 % (322958)Time elapsed: 0.001 s
% 12.09/2.66 % (322958)Peak memory usage: 87 MB
% 12.09/2.66 % (322960)lrs+10_1_sil=8000:sp=occurrence:random_seed=599301327:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 12.09/2.66 % (322959)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1978694237:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 12.09/2.66 % (322959)Refutation not found, incomplete strategy
% 12.09/2.66 % (322959)------------------------------
% 12.09/2.66 % (322959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.66 % (322959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.66 % (322959)CaDiCaL version: 2.1.3
% 12.09/2.66 % (322959)Termination reason: Refutation not found, incomplete strategy
% 12.09/2.66 % (322959)Time elapsed: 0.001 s
% 12.09/2.66 % (322959)Peak memory usage: 88 MB
% 12.09/2.66 % (322932)------------------------------
% 12.09/2.66 % (322932)------------------------------
% 12.09/2.66 % (322958)------------------------------
% 12.09/2.66 % (322958)------------------------------
% 12.09/2.66 % (322964)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1432328814:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 12.09/2.66 % (322964)Refutation not found, incomplete strategy
% 12.09/2.66 % (322964)------------------------------
% 12.09/2.66 % (322964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.66 % (322964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.66 % (322964)CaDiCaL version: 2.1.3
% 12.09/2.66 % (322964)Termination reason: Refutation not found, incomplete strategy
% 12.09/2.66 % (322964)Time elapsed: 0.001 s
% 12.09/2.66 % (322964)Peak memory usage: 88 MB
% 12.09/2.66 % (322964)Instructions burned: 1 (million)
% 12.09/2.66 % (322959)------------------------------
% 12.09/2.66 % (322959)------------------------------
% 12.09/2.66 % (322960)Instruction limit reached!
% 12.09/2.66 % (322960)------------------------------
% 12.09/2.66 % (322960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.66 % (322960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.66 % (322960)CaDiCaL version: 2.1.3
% 12.09/2.66 % (322960)Termination reason: Instruction limit
% 12.09/2.66 % (322960)Termination phase: Saturation
% 12.09/2.66 % (322960)Time elapsed: 0.296 s
% 12.09/2.66 % (322960)Peak memory usage: 97 MB
% 12.09/2.66 % (322960)Instructions burned: 909 (million)
% 12.09/2.66 % (322965)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=469326080:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 12.09/2.66 % (322968)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=136396552:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 12.09/2.66 % (322967)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=634082216:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 12.09/2.66 % (322967)Refutation not found, incomplete strategy
% 12.09/2.66 % (322967)------------------------------
% 12.09/2.66 % (322967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.66 % (322967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.66 % (322967)CaDiCaL version: 2.1.3
% 12.09/2.66 % (322967)Termination reason: Refutation not found, incomplete strategy
% 12.09/2.66 % (322967)Time elapsed: 0.001 s
% 12.09/2.66 % (322967)Peak memory usage: 88 MB
% 12.09/2.66 % (322967)Instructions burned: 1 (million)
% 12.09/2.66 % (322964)------------------------------
% 12.09/2.66 % (322964)------------------------------
% 12.09/2.66 % (322968)Instruction limit reached!
% 12.09/2.66 % (322968)------------------------------
% 12.09/2.66 % (322968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.66 % (322968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.66 % (322968)CaDiCaL version: 2.1.3
% 12.09/2.66 % (322968)Termination reason: Instruction limit
% 12.09/2.66 % (322968)Termination phase: Saturation
% 12.09/2.66 % (322968)Time elapsed: 0.136 s
% 12.09/2.66 % (322968)Peak memory usage: 90 MB
% 12.09/2.66 % (322968)Instructions burned: 594 (million)
% 12.09/2.66 % (322973)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3363935724:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 12.09/2.66 % (322930)First to succeed.
% 12.09/2.66 % (322972)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1199879524:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 12.09/2.66 % (322930)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-322925"
% 12.09/2.66 % (322967)------------------------------
% 12.09/2.66 % (322967)------------------------------
% 12.09/2.66 % (322973)Instruction limit reached!
% 12.09/2.66 % (322973)------------------------------
% 12.09/2.66 % (322973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.66 % (322973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.66 % (322973)CaDiCaL version: 2.1.3
% 12.09/2.66 % (322973)Termination reason: Instruction limit
% 12.09/2.66 % (322973)Termination phase: Saturation
% 12.09/2.66 % (322973)Time elapsed: 0.047 s
% 12.09/2.66 % (322973)Peak memory usage: 91 MB
% 12.09/2.66 % (322973)Instructions burned: 129 (million)
% 12.09/2.66 % (322976)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2621177805:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 12.09/2.66 % (322976)Instruction limit reached!
% 12.09/2.66 % (322976)------------------------------
% 12.09/2.66 % (322976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.66 % (322976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.66 % (322976)CaDiCaL version: 2.1.3
% 12.09/2.66 % (322976)Termination reason: Instruction limit
% 12.09/2.66 % (322976)Termination phase: Saturation
% 12.09/2.66 % (322976)Time elapsed: 0.045 s
% 12.09/2.66 % (322976)Peak memory usage: 90 MB
% 12.09/2.66 % (322976)Instructions burned: 136 (million)
% 12.09/2.66 % (322977)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3516287795:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/141Mi)
% 12.09/2.66 % (322977)Refutation not found, incomplete strategy
% 12.09/2.66 % (322977)------------------------------
% 12.09/2.66 % (322977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.66 % (322977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.66 % (322977)CaDiCaL version: 2.1.3
% 12.09/2.66 % (322977)Termination reason: Refutation not found, incomplete strategy
% 12.09/2.66 % (322977)Time elapsed: 0.001 s
% 12.09/2.66 % (322977)Peak memory usage: 88 MB
% 12.09/2.66 % (322979)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=493503870:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2983 on theBenchmark for (2983ds/431Mi)
% 12.09/2.66 % (322979)Refutation not found, incomplete strategy
% 12.09/2.66 % (322979)------------------------------
% 12.09/2.66 % (322979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.09/2.66 % (322979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.09/2.66 % (322979)CaDiCaL version: 2.1.3
% 12.09/2.66 % (322979)Termination reason: Refutation not found, incomplete strategy
% 12.09/2.66 % (322979)Time elapsed: 0.001 s
% 12.09/2.66 % (322979)Peak memory usage: 88 MB
% 12.09/2.66 % (322930)Refutation found. Thanks to Tanya!
% 12.09/2.66 % SZS status Theorem for theBenchmark
% 12.09/2.66 % SZS output start Proof for theBenchmark
% See solution above
% 13.29/2.85 % (322930)------------------------------
% 13.29/2.85 % (322930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.29/2.85 % (322930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.85 % (322930)CaDiCaL version: 2.1.3
% 13.29/2.85 % (322930)Termination reason: Refutation
% 13.29/2.85 % (322930)Time elapsed: 1.390 s
% 13.29/2.85 % (322930)Peak memory usage: 140 MB
% 13.29/2.85 % (322930)Instructions burned: 2186 (million)
% 13.29/2.85 % (322930)------------------------------
% 13.29/2.85 % (322930)------------------------------
% 13.29/2.85 % (322925)Success in time 1.798 s
% 13.29/2.85 % Vampire exiting
%------------------------------------------------------------------------------