%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP655+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 : Tue Sep 29 10:15:26 AM UTC 2026
% Result : Theorem 41.24s 7.23s
% Output : Refutation 45.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 72
% Number of leaves : 11
% Syntax : Number of formulae : 377 ( 367 unt; 5 def)
% Number of atoms : 387 ( 375 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 6 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 455 ( 0 sgn 453 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X0,X1,X2] : mult(X2,mult(X1,mult(X0,X1))) = mult(mult(mult(X2,X1),X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,conjecture,
! [X0,X1] :
( mult(X0,rd(X1,X1)) = X0
& mult(rd(X1,X1),X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f7,negated_conjecture,
~ ! [X0,X1] :
( mult(X0,rd(X1,X1)) = X0
& mult(rd(X1,X1),X0) = X0 ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
? [X0,X1] :
( mult(X0,rd(X1,X1)) != X0
| mult(rd(X1,X1),X0) != X0 ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
( sK0 != mult(sK0,rd(sK1,sK1))
| sK0 != mult(rd(sK1,sK1),sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f8]) ).
fof(f10,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f11,plain,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f4]) ).
fof(f14,plain,
! [X2,X0,X1] : mult(X2,mult(X1,mult(X0,X1))) = mult(mult(mult(X2,X1),X0),X1),
inference(cnf_transformation,[],[f5]) ).
fof(f15,plain,
( sK0 != mult(sK0,rd(sK1,sK1))
| sK0 != mult(rd(sK1,sK1),sK0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,definition,
sF2 = rd(sK1,sK1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f17,plain,
rd(sK1,sK1) = sF2,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF3 = mult(sK0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f19,plain,
mult(sK0,sF2) = sF3,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF4 = mult(sF2,sK0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f21,plain,
mult(sF2,sK0) = sF4,
inference(reorient_equations,[],[f20]) ).
fof(f22,plain,
( sK0 != sF3
| sK0 != sF4 ),
inference(definition_folding,[],[f15,f21,f17,f19,f17]) ).
fof(f24,definition,
( spl5_1
<=> sK0 = sF4 ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f28,definition,
( spl5_2
<=> sK0 = sF3 ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f31,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f22,f28,f24]) ).
fof(f32,plain,
sK1 = mult(sF2,sK1),
inference(superposition,[],[f12,f17]) ).
fof(f33,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f13,f10]) ).
fof(f34,plain,
sK0 = rd(sF3,sF2),
inference(superposition,[],[f13,f19]) ).
fof(f35,plain,
sF2 = rd(sF4,sK0),
inference(superposition,[],[f13,f21]) ).
fof(f38,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(X1,mult(X2,X1))) = mult(mult(X0,X2),X1),
inference(superposition,[],[f14,f12]) ).
fof(f43,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = rd(mult(X0,mult(X1,mult(X2,X1))),X1),
inference(superposition,[],[f13,f14]) ).
fof(f45,plain,
! [X2,X0,X1] : ld(mult(mult(X0,X1),X2),mult(X0,mult(X1,mult(X2,X1)))) = X1,
inference(superposition,[],[f11,f14]) ).
fof(f46,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f11,f12]) ).
fof(f48,plain,
sK0 = ld(sF2,sF4),
inference(superposition,[],[f11,f21]) ).
fof(f55,plain,
! [X2,X0,X1] : mult(mult(X1,X2),rd(X0,X2)) = rd(mult(X1,mult(X2,X0)),X2),
inference(superposition,[],[f43,f12]) ).
fof(f70,plain,
! [X2,X0,X1] : mult(mult(X1,X2),rd(ld(X2,X0),X2)) = rd(mult(X1,X0),X2),
inference(superposition,[],[f55,f10]) ).
fof(f72,plain,
! [X2,X0,X1] : mult(mult(X1,rd(X0,X2)),rd(X2,rd(X0,X2))) = rd(mult(X1,X0),rd(X0,X2)),
inference(superposition,[],[f55,f12]) ).
fof(f74,plain,
! [X0] : mult(mult(X0,sF2),rd(sK0,sF2)) = rd(mult(X0,sF4),sF2),
inference(superposition,[],[f55,f21]) ).
fof(f87,plain,
! [X2,X0,X1] : mult(mult(X1,X2),ld(X2,X0)) = mult(rd(X1,ld(X2,X0)),mult(ld(X2,X0),X0)),
inference(superposition,[],[f38,f10]) ).
fof(f89,plain,
! [X2,X0,X1] : mult(mult(X1,rd(X0,X2)),X2) = mult(rd(X1,X2),mult(X2,X0)),
inference(superposition,[],[f38,f12]) ).
fof(f95,plain,
! [X2,X0,X1] : mult(X2,mult(X1,X2)) = ld(rd(X0,X2),mult(mult(X0,X1),X2)),
inference(superposition,[],[f11,f38]) ).
fof(f103,plain,
! [X2,X0,X1] : mult(ld(X0,X1),mult(X2,ld(X0,X1))) = ld(X0,mult(mult(X1,X2),ld(X0,X1))),
inference(superposition,[],[f95,f33]) ).
fof(f104,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X2,X0),X1)) = ld(rd(X2,X1),mult(X0,X1)),
inference(superposition,[],[f95,f10]) ).
fof(f106,plain,
! [X2,X0,X1] : mult(X1,mult(X2,X1)) = ld(rd(rd(X0,X2),X1),mult(X0,X1)),
inference(superposition,[],[f95,f12]) ).
fof(f130,plain,
! [X0] : mult(sK0,mult(X0,sK0)) = ld(rd(rd(sF2,X0),sK0),sF4),
inference(superposition,[],[f106,f21]) ).
fof(f131,plain,
! [X2,X0,X1] : rd(rd(X2,X1),X0) = rd(mult(X2,X0),mult(X0,mult(X1,X0))),
inference(superposition,[],[f33,f106]) ).
fof(f145,plain,
! [X2,X0,X1] : mult(ld(X0,X2),X1) = ld(X1,ld(rd(X0,X1),mult(X2,X1))),
inference(superposition,[],[f11,f104]) ).
fof(f155,plain,
! [X0] : mult(rd(X0,sK1),mult(sK1,sK1)) = mult(mult(X0,sF2),sK1),
inference(superposition,[],[f89,f17]) ).
fof(f190,plain,
! [X2,X0,X1] : rd(mult(rd(X0,X1),X2),X1) = mult(X0,rd(ld(X1,X2),X1)),
inference(superposition,[],[f70,f12]) ).
fof(f192,plain,
! [X0] : rd(mult(sK0,X0),sF2) = mult(sF3,rd(ld(sF2,X0),sF2)),
inference(superposition,[],[f70,f19]) ).
fof(f204,plain,
! [X2,X0,X1] : rd(ld(X2,X1),X2) = ld(mult(X0,X2),rd(mult(X0,X1),X2)),
inference(superposition,[],[f11,f70]) ).
fof(f225,plain,
! [X2,X0,X1] : mult(ld(X1,rd(X0,X2)),X2) = ld(X2,ld(rd(X1,X2),X0)),
inference(superposition,[],[f145,f12]) ).
fof(f269,plain,
! [X2,X0,X1] : rd(X0,mult(X1,mult(X2,X1))) = rd(rd(rd(X0,X1),X2),X1),
inference(superposition,[],[f131,f12]) ).
fof(f280,plain,
! [X2,X0,X1] : rd(rd(X1,rd(X0,X2)),X2) = rd(mult(X1,X2),mult(X2,X0)),
inference(superposition,[],[f131,f12]) ).
fof(f283,plain,
! [X0] : rd(rd(X0,sF2),sK0) = rd(mult(X0,sK0),mult(sK0,sF4)),
inference(superposition,[],[f131,f21]) ).
fof(f312,plain,
! [X2,X0,X1] : rd(X0,rd(X2,X1)) = mult(rd(mult(X0,X1),mult(X1,X2)),X1),
inference(superposition,[],[f12,f280]) ).
fof(f380,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,rd(ld(X1,X1),X1)),
inference(superposition,[],[f13,f190]) ).
fof(f409,plain,
! [X0,X1] : ld(X0,rd(X0,X1)) = rd(ld(X1,X1),X1),
inference(superposition,[],[f11,f380]) ).
fof(f416,plain,
! [X2,X0,X1] : mult(rd(ld(X1,X1),X1),mult(X2,rd(ld(X1,X1),X1))) = ld(rd(rd(X0,X2),rd(ld(X1,X1),X1)),rd(X0,X1)),
inference(superposition,[],[f106,f380]) ).
fof(f420,plain,
! [X2,X0,X1] : ld(rd(X0,rd(ld(X2,X2),X2)),mult(X1,rd(ld(X2,X2),X2))) = mult(rd(ld(X2,X2),X2),rd(ld(X0,X1),X2)),
inference(superposition,[],[f104,f380]) ).
fof(f422,plain,
! [X2,X0,X1] : mult(rd(ld(X2,X2),X2),mult(X1,rd(ld(X2,X2),X2))) = ld(rd(X0,rd(ld(X2,X2),X2)),rd(mult(X0,X1),X2)),
inference(superposition,[],[f95,f380]) ).
fof(f431,plain,
! [X2,X0,X1] : ld(rd(X0,rd(ld(X2,X2),X2)),rd(mult(X0,X1),X2)) = mult(rd(ld(X2,X2),X2),rd(X1,X2)),
inference(forward_demodulation,[],[f422,f380]) ).
fof(f432,plain,
! [X2,X0,X1] : mult(rd(ld(X2,X2),X2),rd(ld(X0,X1),X2)) = ld(rd(X0,rd(ld(X2,X2),X2)),rd(X1,X2)),
inference(forward_demodulation,[],[f420,f380]) ).
fof(f436,plain,
! [X2,X0,X1] : ld(rd(rd(X0,X2),rd(ld(X1,X1),X1)),rd(X0,X1)) = mult(rd(ld(X1,X1),X1),rd(X2,X1)),
inference(forward_demodulation,[],[f416,f380]) ).
fof(f454,plain,
! [X0,X1] : ld(mult(X0,X1),X0) = rd(ld(X1,X1),X1),
inference(superposition,[],[f409,f13]) ).
fof(f457,plain,
! [X2,X0,X1] : rd(ld(X1,X1),X1) = ld(mult(rd(X0,X1),X2),mult(X0,rd(ld(X1,X2),X1))),
inference(superposition,[],[f409,f190]) ).
fof(f460,plain,
! [X2,X0,X1] : ld(X0,rd(X0,X1)) = ld(X2,rd(X2,X1)),
inference(superposition,[],[f409,f409]) ).
fof(f467,plain,
! [X2,X0,X1] : rd(X2,X1) = mult(X2,ld(X0,rd(X0,X1))),
inference(superposition,[],[f380,f409]) ).
fof(f497,plain,
! [X2,X0,X1] : mult(X1,mult(rd(ld(X0,X0),X0),X1)) = ld(rd(mult(X2,X0),X1),mult(X2,X1)),
inference(superposition,[],[f104,f454]) ).
fof(f498,plain,
! [X0,X1] : mult(X1,X0) = rd(X1,rd(ld(X0,X0),X0)),
inference(superposition,[],[f33,f454]) ).
fof(f502,plain,
! [X2,X0,X1] : ld(mult(X0,X1),X0) = ld(X2,rd(X2,X1)),
inference(superposition,[],[f409,f454]) ).
fof(f503,plain,
! [X2,X0,X1] : rd(X2,X1) = mult(X2,ld(mult(X0,X1),X0)),
inference(superposition,[],[f380,f454]) ).
fof(f524,plain,
! [X2,X0,X1] : mult(rd(ld(X2,X2),X2),rd(ld(X0,X1),X2)) = ld(mult(X0,X2),rd(X1,X2)),
inference(backward_demodulation,[],[f432,f498]) ).
fof(f525,plain,
! [X2,X0,X1] : ld(mult(X0,X2),rd(mult(X0,X1),X2)) = mult(rd(ld(X2,X2),X2),rd(X1,X2)),
inference(backward_demodulation,[],[f431,f498]) ).
fof(f528,plain,
! [X2,X0,X1] : mult(rd(ld(X1,X1),X1),rd(X2,X1)) = ld(mult(rd(X0,X2),X1),rd(X0,X1)),
inference(backward_demodulation,[],[f436,f498]) ).
fof(f537,plain,
! [X2,X1] : rd(ld(X2,X1),X2) = mult(rd(ld(X2,X2),X2),rd(X1,X2)),
inference(forward_demodulation,[],[f525,f204]) ).
fof(f539,plain,
! [X2,X0,X1] : rd(ld(X1,X2),X1) = ld(mult(rd(X0,X2),X1),rd(X0,X1)),
inference(backward_demodulation,[],[f528,f537]) ).
fof(f541,plain,
! [X2,X0,X1] : ld(mult(X0,X2),rd(X1,X2)) = rd(ld(X2,ld(X0,X1)),X2),
inference(backward_demodulation,[],[f524,f537]) ).
fof(f545,plain,
! [X2,X0,X1] : mult(X1,ld(X2,X0)) = rd(X1,ld(X0,X2)),
inference(superposition,[],[f467,f33]) ).
fof(f608,plain,
! [X2,X0,X1] : mult(mult(X1,X2),ld(X2,X0)) = mult(mult(X1,ld(X0,X2)),mult(ld(X2,X0),X0)),
inference(backward_demodulation,[],[f87,f545]) ).
fof(f695,plain,
! [X2,X3,X0,X1] : rd(X3,rd(ld(X2,X1),X2)) = mult(X3,ld(rd(mult(X0,X1),X2),mult(X0,X2))),
inference(superposition,[],[f503,f70]) ).
fof(f699,plain,
! [X0] : rd(X0,sK0) = mult(X0,ld(sF4,sF2)),
inference(superposition,[],[f503,f21]) ).
fof(f723,plain,
! [X2,X3,X0,X1] : mult(rd(mult(X0,X1),X2),X1) = mult(X0,mult(X1,mult(ld(mult(X3,X2),X3),X1))),
inference(superposition,[],[f14,f503]) ).
fof(f732,plain,
! [X2,X3,X0,X1] : mult(rd(mult(X0,X1),X2),X1) = mult(X0,ld(rd(mult(X3,X2),X1),mult(X3,X1))),
inference(forward_demodulation,[],[f723,f104]) ).
fof(f760,plain,
! [X2,X3,X1] : rd(X3,rd(ld(X2,X1),X2)) = mult(rd(mult(X3,X2),X1),X2),
inference(backward_demodulation,[],[f695,f732]) ).
fof(f843,plain,
! [X2,X0,X1] : ld(X2,X1) = ld(mult(X0,ld(X1,X2)),X0),
inference(superposition,[],[f46,f545]) ).
fof(f845,plain,
! [X2,X3,X0,X1] : mult(ld(X2,X1),mult(X3,ld(X2,X1))) = ld(mult(X0,ld(X1,X2)),mult(mult(X0,X3),ld(X2,X1))),
inference(superposition,[],[f95,f545]) ).
fof(f858,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X1,X2)),ld(X2,X1)) = X0,
inference(superposition,[],[f13,f545]) ).
fof(f881,plain,
! [X2,X3,X0,X1] : ld(mult(X0,ld(X1,X2)),mult(mult(X0,X3),ld(X2,X1))) = ld(X2,mult(mult(X1,X3),ld(X2,X1))),
inference(forward_demodulation,[],[f845,f103]) ).
fof(f1114,plain,
! [X0,X1] : mult(ld(sF4,sF2),mult(X1,ld(sF4,sF2))) = ld(rd(X0,ld(sF4,sF2)),rd(mult(X0,X1),sK0)),
inference(superposition,[],[f95,f699]) ).
fof(f1125,plain,
! [X0,X1] : mult(ld(sF4,sF2),mult(X1,ld(sF4,sF2))) = ld(mult(X0,ld(sF2,sF4)),rd(mult(X0,X1),sK0)),
inference(forward_demodulation,[],[f1114,f545]) ).
fof(f1148,plain,
! [X0,X1] : mult(ld(sF4,sF2),mult(X1,ld(sF4,sF2))) = ld(mult(X0,sK0),rd(mult(X0,X1),sK0)),
inference(forward_demodulation,[],[f1125,f48]) ).
fof(f1168,plain,
! [X1] : mult(ld(sF4,sF2),mult(X1,ld(sF4,sF2))) = rd(ld(sK0,X1),sK0),
inference(forward_demodulation,[],[f1148,f204]) ).
fof(f1185,plain,
! [X1] : ld(sF4,mult(mult(sF2,X1),ld(sF4,sF2))) = rd(ld(sK0,X1),sK0),
inference(forward_demodulation,[],[f1168,f103]) ).
fof(f1196,plain,
! [X1] : rd(ld(sK0,X1),sK0) = ld(sF4,rd(mult(sF2,X1),sK0)),
inference(forward_demodulation,[],[f1185,f699]) ).
fof(f1276,plain,
! [X2,X0,X1] : mult(rd(X0,mult(X1,X2)),X1) = rd(rd(X0,X1),rd(X2,X1)),
inference(superposition,[],[f312,f12]) ).
fof(f1297,plain,
! [X0] : rd(X0,rd(sK0,sF2)) = mult(rd(mult(X0,sF2),sF4),sF2),
inference(superposition,[],[f312,f21]) ).
fof(f1468,plain,
! [X0,X1] : ld(sF4,sF2) = ld(mult(rd(X0,sK0),X1),mult(X0,mult(ld(sF4,sF2),mult(X1,ld(sF4,sF2))))),
inference(superposition,[],[f45,f699]) ).
fof(f1547,plain,
! [X0,X1] : ld(sF4,sF2) = ld(mult(rd(X0,sK0),X1),mult(X0,ld(sF4,mult(mult(sF2,X1),ld(sF4,sF2))))),
inference(forward_demodulation,[],[f1468,f103]) ).
fof(f1562,plain,
! [X0,X1] : ld(sF4,sF2) = ld(mult(rd(X0,sK0),X1),mult(X0,ld(sF4,rd(mult(sF2,X1),sK0)))),
inference(forward_demodulation,[],[f1547,f699]) ).
fof(f1568,plain,
! [X0,X1] : ld(sF4,sF2) = ld(mult(rd(X0,sK0),X1),mult(X0,rd(ld(sK0,X1),sK0))),
inference(forward_demodulation,[],[f1562,f1196]) ).
fof(f1572,plain,
rd(ld(sK0,sK0),sK0) = ld(sF4,sF2),
inference(forward_demodulation,[],[f1568,f457]) ).
fof(f1578,plain,
! [X0] : ld(sF4,sF2) = ld(mult(X0,sK0),X0),
inference(superposition,[],[f454,f1572]) ).
fof(f1583,plain,
sK0 = ld(ld(sF4,sF2),ld(sK0,sK0)),
inference(superposition,[],[f46,f1572]) ).
fof(f1612,plain,
! [X0,X1] : rd(mult(X0,ld(X1,X1)),rd(ld(X1,X1),X1)) = mult(rd(X0,X1),rd(X1,rd(ld(X1,X1),X1))),
inference(superposition,[],[f72,f380]) ).
fof(f1674,plain,
! [X0,X1] : rd(mult(X0,ld(X1,X1)),rd(ld(X1,X1),X1)) = mult(rd(X0,X1),mult(rd(mult(X1,X1),X1),X1)),
inference(forward_demodulation,[],[f1612,f760]) ).
fof(f1683,plain,
! [X0,X1] : rd(mult(X0,ld(X1,X1)),rd(ld(X1,X1),X1)) = mult(rd(X0,X1),mult(X1,X1)),
inference(forward_demodulation,[],[f1674,f12]) ).
fof(f1688,plain,
! [X0,X1] : mult(rd(X0,X1),mult(X1,X1)) = mult(rd(mult(mult(X0,ld(X1,X1)),X1),X1),X1),
inference(forward_demodulation,[],[f1683,f760]) ).
fof(f1693,plain,
! [X0,X1] : mult(rd(X0,X1),mult(X1,X1)) = mult(mult(X0,ld(X1,X1)),X1),
inference(forward_demodulation,[],[f1688,f12]) ).
fof(f1697,plain,
! [X0] : mult(X0,X0) = mult(rd(X0,X0),mult(X0,X0)),
inference(superposition,[],[f1693,f10]) ).
fof(f1711,plain,
! [X0,X1] : mult(X1,mult(ld(X1,X1),X1)) = ld(rd(X0,X1),mult(rd(X0,X1),mult(X1,X1))),
inference(superposition,[],[f95,f1693]) ).
fof(f1715,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = rd(mult(rd(X0,X1),mult(X1,X1)),X1),
inference(superposition,[],[f13,f1693]) ).
fof(f1757,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = mult(mult(rd(X0,X1),X1),rd(X1,X1)),
inference(forward_demodulation,[],[f1715,f55]) ).
fof(f1760,plain,
! [X1] : mult(X1,X1) = mult(X1,mult(ld(X1,X1),X1)),
inference(forward_demodulation,[],[f1711,f11]) ).
fof(f1781,plain,
! [X0,X1] : mult(X0,rd(X1,X1)) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[],[f1757,f12]) ).
fof(f1783,plain,
! [X1] : mult(X1,X1) = ld(rd(X1,X1),mult(X1,X1)),
inference(forward_demodulation,[],[f1760,f104]) ).
fof(f1840,plain,
! [X0,X1] : rd(mult(X0,X1),rd(X1,X1)) = mult(mult(X0,ld(X1,X1)),rd(X1,rd(X1,X1))),
inference(superposition,[],[f72,f1781]) ).
fof(f1842,plain,
! [X0,X1] : rd(X1,X1) = ld(X0,mult(X0,ld(X1,X1))),
inference(superposition,[],[f11,f1781]) ).
fof(f1893,plain,
! [X1] : rd(X1,X1) = ld(X1,X1),
inference(forward_demodulation,[],[f1842,f11]) ).
fof(f1907,plain,
! [X0] : mult(X0,X0) = mult(ld(X0,X0),mult(X0,X0)),
inference(backward_demodulation,[],[f1697,f1893]) ).
fof(f1908,plain,
! [X1] : mult(X1,X1) = ld(ld(X1,X1),mult(X1,X1)),
inference(backward_demodulation,[],[f1783,f1893]) ).
fof(f1909,plain,
! [X0,X1] : rd(mult(X0,X1),ld(X1,X1)) = mult(mult(X0,ld(X1,X1)),rd(X1,ld(X1,X1))),
inference(backward_demodulation,[],[f1840,f1893]) ).
fof(f1926,plain,
sF2 = ld(sK1,sK1),
inference(backward_demodulation,[],[f17,f1893]) ).
fof(f1941,plain,
! [X0,X1] : rd(mult(X0,X1),ld(X1,X1)) = mult(mult(X0,ld(X1,X1)),mult(X1,ld(X1,X1))),
inference(forward_demodulation,[],[f1909,f545]) ).
fof(f1945,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X1)),X1) = rd(mult(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f1941,f10]) ).
fof(f1949,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X1)),X1) = mult(mult(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f1945,f545]) ).
fof(f1953,plain,
! [X0,X1] : mult(rd(X0,X1),mult(X1,X1)) = mult(mult(X0,X1),ld(X1,X1)),
inference(backward_demodulation,[],[f1693,f1949]) ).
fof(f1967,plain,
! [X0] : mult(mult(X0,sF2),sK1) = mult(mult(X0,sK1),ld(sK1,sK1)),
inference(backward_demodulation,[],[f155,f1953]) ).
fof(f1973,plain,
! [X0] : mult(mult(X0,sF2),sK1) = mult(mult(X0,sK1),sF2),
inference(forward_demodulation,[],[f1967,f1926]) ).
fof(f1980,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(superposition,[],[f12,f1893]) ).
fof(f1982,plain,
! [X0] : ld(ld(X0,X0),X0) = X0,
inference(superposition,[],[f46,f1893]) ).
fof(f1989,plain,
! [X0,X1] : ld(X0,ld(rd(X1,X0),X0)) = mult(ld(X1,ld(X0,X0)),X0),
inference(superposition,[],[f225,f1893]) ).
fof(f1993,plain,
! [X0,X1] : ld(X1,rd(X1,X0)) = ld(X0,ld(X0,X0)),
inference(superposition,[],[f460,f1893]) ).
fof(f1994,plain,
! [X0,X1] : rd(X1,X0) = mult(X1,ld(X0,ld(X0,X0))),
inference(superposition,[],[f467,f1893]) ).
fof(f1995,plain,
! [X0,X1] : ld(mult(X1,X0),X1) = ld(X0,ld(X0,X0)),
inference(superposition,[],[f502,f1893]) ).
fof(f1998,plain,
! [X0,X1] : ld(ld(X0,X1),ld(X0,X1)) = mult(ld(X0,X1),ld(X1,X0)),
inference(superposition,[],[f545,f1893]) ).
fof(f2001,plain,
! [X0,X1] : ld(rd(X0,X1),rd(X0,X1)) = mult(rd(X0,mult(X1,X0)),X1),
inference(superposition,[],[f1276,f1893]) ).
fof(f2002,plain,
! [X0,X1] : rd(ld(rd(X0,X1),rd(X0,X1)),X1) = rd(X0,mult(X1,mult(rd(X0,X1),X1))),
inference(superposition,[],[f269,f1893]) ).
fof(f2004,plain,
! [X0,X1] : rd(X0,mult(X1,X0)) = rd(ld(rd(X0,X1),rd(X0,X1)),X1),
inference(forward_demodulation,[],[f2002,f12]) ).
fof(f2008,plain,
ld(sF4,sF2) = ld(sK0,ld(sK0,sK0)),
inference(backward_demodulation,[],[f1578,f1995]) ).
fof(f2045,plain,
! [X0] : rd(ld(X0,X0),X0) = ld(X0,ld(X0,X0)),
inference(superposition,[],[f454,f1980]) ).
fof(f2073,plain,
! [X2,X0,X1] : ld(rd(mult(X2,X0),X1),mult(X2,X1)) = mult(X1,mult(ld(X0,ld(X0,X0)),X1)),
inference(backward_demodulation,[],[f497,f2045]) ).
fof(f2078,plain,
! [X2,X1] : rd(ld(X2,X1),X2) = mult(ld(X2,ld(X2,X2)),rd(X1,X2)),
inference(backward_demodulation,[],[f537,f2045]) ).
fof(f2098,plain,
! [X2,X0,X1] : ld(rd(mult(X2,X0),X1),mult(X2,X1)) = ld(rd(X0,X1),mult(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f2073,f104]) ).
fof(f2126,plain,
! [X0] : mult(X0,sF2) = rd(X0,sF2),
inference(superposition,[],[f545,f1926]) ).
fof(f2129,plain,
sK1 = mult(sK1,sF2),
inference(superposition,[],[f10,f1926]) ).
fof(f2133,plain,
! [X0] : rd(mult(X0,sK0),mult(sK0,sF4)) = rd(mult(X0,sF2),sK0),
inference(backward_demodulation,[],[f283,f2126]) ).
fof(f2139,plain,
! [X0] : rd(mult(sK0,X0),sF2) = mult(sF3,mult(ld(sF2,X0),sF2)),
inference(backward_demodulation,[],[f192,f2126]) ).
fof(f2140,plain,
! [X0] : mult(mult(X0,sF2),rd(sK0,sF2)) = mult(mult(X0,sF4),sF2),
inference(backward_demodulation,[],[f74,f2126]) ).
fof(f2145,plain,
! [X0] : mult(rd(mult(X0,sF2),sF4),sF2) = rd(X0,mult(sK0,sF2)),
inference(backward_demodulation,[],[f1297,f2126]) ).
fof(f2147,plain,
sK0 = mult(sF3,sF2),
inference(backward_demodulation,[],[f34,f2126]) ).
fof(f2151,plain,
! [X0] : mult(rd(mult(X0,sF2),sF4),sF2) = rd(X0,sF3),
inference(forward_demodulation,[],[f2145,f19]) ).
fof(f2153,plain,
! [X0] : mult(mult(X0,sF4),sF2) = mult(mult(X0,sF2),mult(sK0,sF2)),
inference(forward_demodulation,[],[f2140,f2126]) ).
fof(f2154,plain,
! [X0] : mult(sF3,mult(ld(sF2,X0),sF2)) = mult(mult(sK0,X0),sF2),
inference(forward_demodulation,[],[f2139,f2126]) ).
fof(f2158,plain,
! [X0] : mult(mult(X0,sF4),sF2) = mult(mult(X0,sF2),sF3),
inference(forward_demodulation,[],[f2153,f19]) ).
fof(f2167,plain,
ld(sF2,sF2) = mult(sF2,sF2),
inference(superposition,[],[f1893,f2126]) ).
fof(f2174,plain,
! [X0,X1] : mult(X1,mult(sF2,X1)) = ld(rd(mult(X0,sF2),X1),mult(X0,X1)),
inference(superposition,[],[f106,f2126]) ).
fof(f2177,plain,
! [X0,X1] : ld(sF2,ld(rd(X1,sF2),X0)) = mult(ld(X1,mult(X0,sF2)),sF2),
inference(superposition,[],[f225,f2126]) ).
fof(f2190,plain,
! [X0] : mult(mult(X0,sF2),sF2) = X0,
inference(superposition,[],[f13,f2126]) ).
fof(f2192,plain,
! [X0,X1] : mult(X0,rd(ld(sF2,X1),sF2)) = mult(mult(rd(X0,sF2),X1),sF2),
inference(superposition,[],[f190,f2126]) ).
fof(f2200,plain,
! [X0,X1] : mult(X0,rd(ld(sF2,X1),sF2)) = mult(mult(mult(X0,sF2),X1),sF2),
inference(forward_demodulation,[],[f2192,f2126]) ).
fof(f2214,plain,
! [X0,X1] : mult(ld(X1,mult(X0,sF2)),sF2) = ld(sF2,ld(mult(X1,sF2),X0)),
inference(forward_demodulation,[],[f2177,f2126]) ).
fof(f2216,plain,
! [X1] : mult(X1,mult(sF2,X1)) = ld(rd(sF2,X1),mult(ld(sF2,sF2),X1)),
inference(forward_demodulation,[],[f2174,f2098]) ).
fof(f2227,plain,
! [X0,X1] : mult(X0,rd(ld(sF2,X1),sF2)) = mult(X0,mult(sF2,mult(X1,sF2))),
inference(forward_demodulation,[],[f2200,f14]) ).
fof(f2238,plain,
! [X0,X1] : mult(X0,mult(sF2,mult(X1,sF2))) = mult(X0,mult(ld(sF2,X1),sF2)),
inference(forward_demodulation,[],[f2227,f2126]) ).
fof(f2242,plain,
! [X0] : mult(mult(sK0,X0),sF2) = mult(sF3,mult(sF2,mult(X0,sF2))),
inference(backward_demodulation,[],[f2154,f2238]) ).
fof(f2256,plain,
! [X0] : ld(X0,X0) = rd(mult(X0,X0),mult(X0,X0)),
inference(superposition,[],[f13,f1907]) ).
fof(f2277,plain,
! [X0] : ld(X0,X0) = ld(mult(X0,X0),mult(X0,X0)),
inference(forward_demodulation,[],[f2256,f1893]) ).
fof(f2328,plain,
! [X0] : mult(mult(X0,X0),ld(X0,X0)) = mult(ld(X0,X0),mult(X0,X0)),
inference(superposition,[],[f1953,f1893]) ).
fof(f2337,plain,
! [X2,X0,X1] : mult(mult(rd(rd(X0,X1),X2),X1),ld(X1,X1)) = mult(rd(X0,mult(X1,mult(X2,X1))),mult(X1,X1)),
inference(superposition,[],[f1953,f269]) ).
fof(f2372,plain,
! [X0] : mult(X0,X0) = mult(mult(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f2328,f1907]) ).
fof(f2626,plain,
! [X0] : mult(mult(X0,X0),X0) = mult(X0,mult(X0,mult(ld(X0,X0),X0))),
inference(superposition,[],[f14,f2372]) ).
fof(f2660,plain,
! [X0] : mult(mult(X0,X0),X0) = mult(X0,ld(rd(X0,X0),mult(X0,X0))),
inference(forward_demodulation,[],[f2626,f104]) ).
fof(f2675,plain,
! [X0] : mult(mult(X0,X0),X0) = mult(X0,ld(ld(X0,X0),mult(X0,X0))),
inference(forward_demodulation,[],[f2660,f1893]) ).
fof(f2684,plain,
! [X0] : mult(mult(X0,X0),X0) = mult(X0,mult(X0,X0)),
inference(forward_demodulation,[],[f2675,f1908]) ).
fof(f2716,plain,
! [X0,X1] : rd(X1,rd(X0,mult(X0,X0))) = mult(rd(mult(X1,mult(X0,X0)),mult(X0,mult(X0,X0))),mult(X0,X0)),
inference(superposition,[],[f312,f2684]) ).
fof(f2736,plain,
! [X0,X1] : rd(X1,rd(X0,mult(X0,X0))) = mult(mult(rd(rd(mult(X1,mult(X0,X0)),X0),X0),X0),ld(X0,X0)),
inference(forward_demodulation,[],[f2716,f2337]) ).
fof(f2753,plain,
! [X0,X1] : rd(X1,rd(X0,mult(X0,X0))) = mult(rd(mult(X1,mult(X0,X0)),X0),ld(X0,X0)),
inference(forward_demodulation,[],[f2736,f12]) ).
fof(f2765,plain,
! [X0,X1] : rd(X1,rd(X0,mult(X0,X0))) = mult(mult(mult(X1,X0),rd(X0,X0)),ld(X0,X0)),
inference(forward_demodulation,[],[f2753,f55]) ).
fof(f2769,plain,
! [X0,X1] : rd(X1,rd(X0,mult(X0,X0))) = mult(mult(mult(X1,X0),ld(X0,X0)),ld(X0,X0)),
inference(forward_demodulation,[],[f2765,f1893]) ).
fof(f2773,plain,
! [X0,X1] : mult(X1,X0) = rd(X1,rd(X0,mult(X0,X0))),
inference(forward_demodulation,[],[f2769,f858]) ).
fof(f2799,plain,
! [X0,X1] : ld(mult(X0,X1),X0) = rd(X1,mult(X1,X1)),
inference(superposition,[],[f46,f2773]) ).
fof(f2903,plain,
! [X0] : ld(X0,ld(X0,X0)) = rd(X0,mult(X0,X0)),
inference(superposition,[],[f2799,f1980]) ).
fof(f2921,plain,
! [X2,X0] : ld(X2,rd(X2,X0)) = rd(X0,mult(X0,X0)),
inference(superposition,[],[f502,f2799]) ).
fof(f2932,plain,
! [X0,X1] : mult(X1,X1) = ld(ld(mult(X0,X1),X0),X1),
inference(superposition,[],[f46,f2799]) ).
fof(f3085,plain,
! [X0,X1] : ld(mult(X1,ld(X0,ld(X0,X0))),X1) = rd(ld(X0,ld(X0,X0)),rd(ld(X0,ld(X0,X0)),X0)),
inference(superposition,[],[f2799,f1994]) ).
fof(f3145,plain,
! [X0,X1] : ld(mult(X1,ld(X0,ld(X0,X0))),X1) = mult(rd(mult(ld(X0,ld(X0,X0)),X0),ld(X0,X0)),X0),
inference(forward_demodulation,[],[f3085,f760]) ).
fof(f3184,plain,
! [X0,X1] : ld(mult(X1,ld(X0,ld(X0,X0))),X1) = mult(mult(mult(ld(X0,ld(X0,X0)),X0),ld(X0,X0)),X0),
inference(forward_demodulation,[],[f3145,f545]) ).
fof(f3216,plain,
! [X0,X1] : ld(mult(X1,ld(X0,ld(X0,X0))),X1) = mult(ld(X0,ld(X0,X0)),mult(X0,mult(ld(X0,X0),X0))),
inference(forward_demodulation,[],[f3184,f14]) ).
fof(f3244,plain,
! [X0,X1] : ld(mult(X1,ld(X0,ld(X0,X0))),X1) = mult(ld(X0,ld(X0,X0)),ld(rd(X0,X0),mult(X0,X0))),
inference(forward_demodulation,[],[f3216,f104]) ).
fof(f3259,plain,
! [X0,X1] : ld(mult(X1,ld(X0,ld(X0,X0))),X1) = mult(ld(X0,ld(X0,X0)),ld(ld(X0,X0),mult(X0,X0))),
inference(forward_demodulation,[],[f3244,f1893]) ).
fof(f3266,plain,
! [X0,X1] : ld(mult(X1,ld(X0,ld(X0,X0))),X1) = mult(ld(X0,ld(X0,X0)),mult(X0,X0)),
inference(forward_demodulation,[],[f3259,f1908]) ).
fof(f3269,plain,
! [X0] : ld(ld(X0,X0),X0) = mult(ld(X0,ld(X0,X0)),mult(X0,X0)),
inference(forward_demodulation,[],[f3266,f843]) ).
fof(f3274,plain,
! [X0] : mult(ld(X0,ld(X0,X0)),mult(X0,X0)) = X0,
inference(forward_demodulation,[],[f3269,f1982]) ).
fof(f3277,plain,
mult(mult(sF2,sK1),sF2) = mult(ld(sF2,sF2),sK1),
inference(superposition,[],[f1973,f2167]) ).
fof(f3322,plain,
mult(sK1,sF2) = mult(ld(sF2,sF2),sK1),
inference(forward_demodulation,[],[f3277,f32]) ).
fof(f3334,plain,
sK1 = mult(ld(sF2,sF2),sK1),
inference(forward_demodulation,[],[f3322,f2129]) ).
fof(f3713,plain,
! [X0] : mult(sF2,mult(sF4,sF2)) = ld(rd(X0,sF2),mult(mult(X0,sF2),sF3)),
inference(superposition,[],[f95,f2158]) ).
fof(f3749,plain,
! [X0] : mult(sF2,mult(sF4,sF2)) = ld(mult(X0,sF2),mult(mult(X0,sF2),sF3)),
inference(forward_demodulation,[],[f3713,f2126]) ).
fof(f3761,plain,
sF3 = mult(sF2,mult(sF4,sF2)),
inference(forward_demodulation,[],[f3749,f11]) ).
fof(f3773,plain,
mult(sF4,sF2) = ld(sF2,sF3),
inference(superposition,[],[f11,f3761]) ).
fof(f3834,plain,
sF4 = rd(ld(sF2,sF3),sF2),
inference(superposition,[],[f13,f3773]) ).
fof(f3863,plain,
sF4 = mult(ld(sF2,sF3),sF2),
inference(forward_demodulation,[],[f3834,f2126]) ).
fof(f3872,plain,
mult(sF2,sF4) = ld(rd(sF2,sF2),mult(sF3,sF2)),
inference(superposition,[],[f104,f3863]) ).
fof(f3911,plain,
mult(sF2,sF4) = ld(rd(sF2,sF2),sK0),
inference(forward_demodulation,[],[f3872,f2147]) ).
fof(f3921,plain,
mult(sF2,sF4) = ld(ld(sF2,sF2),sK0),
inference(forward_demodulation,[],[f3911,f1893]) ).
fof(f3955,plain,
rd(sK1,sK1) = ld(sF2,sF2),
inference(superposition,[],[f13,f3334]) ).
fof(f3987,plain,
ld(sK1,sK1) = ld(sF2,sF2),
inference(forward_demodulation,[],[f3955,f1893]) ).
fof(f3997,plain,
sF2 = ld(sF2,sF2),
inference(forward_demodulation,[],[f3987,f1926]) ).
fof(f4000,plain,
sF2 = mult(sF2,sF2),
inference(backward_demodulation,[],[f2167,f3997]) ).
fof(f4001,plain,
! [X1] : mult(X1,mult(sF2,X1)) = ld(rd(sF2,X1),mult(sF2,X1)),
inference(backward_demodulation,[],[f2216,f3997]) ).
fof(f4010,plain,
mult(sF2,sF4) = ld(sF2,sK0),
inference(backward_demodulation,[],[f3921,f3997]) ).
fof(f4044,plain,
! [X0] : rd(mult(sF2,X0),sF2) = mult(sF2,rd(ld(sF2,X0),sF2)),
inference(superposition,[],[f70,f4000]) ).
fof(f4064,plain,
! [X0] : rd(mult(sF2,X0),sF2) = mult(sF2,mult(ld(sF2,X0),sF2)),
inference(forward_demodulation,[],[f4044,f2126]) ).
fof(f4077,plain,
! [X0] : rd(mult(sF2,X0),sF2) = ld(rd(sF2,sF2),mult(X0,sF2)),
inference(forward_demodulation,[],[f4064,f104]) ).
fof(f4083,plain,
! [X0] : rd(mult(sF2,X0),sF2) = ld(ld(sF2,sF2),mult(X0,sF2)),
inference(forward_demodulation,[],[f4077,f1893]) ).
fof(f4085,plain,
! [X0] : rd(mult(sF2,X0),sF2) = ld(sF2,mult(X0,sF2)),
inference(forward_demodulation,[],[f4083,f3997]) ).
fof(f4086,plain,
! [X0] : mult(mult(sF2,X0),sF2) = ld(sF2,mult(X0,sF2)),
inference(forward_demodulation,[],[f4085,f2126]) ).
fof(f4259,plain,
! [X0] : rd(X0,mult(sF2,X0)) = mult(ld(rd(X0,sF2),rd(X0,sF2)),sF2),
inference(superposition,[],[f2126,f2004]) ).
fof(f4260,plain,
! [X0] : rd(X0,mult(sF2,X0)) = ld(sF2,ld(rd(rd(X0,sF2),sF2),X0)),
inference(forward_demodulation,[],[f4259,f225]) ).
fof(f4276,plain,
! [X0] : rd(X0,mult(sF2,X0)) = ld(sF2,ld(mult(rd(X0,sF2),sF2),X0)),
inference(forward_demodulation,[],[f4260,f2126]) ).
fof(f4288,plain,
! [X0] : rd(X0,mult(sF2,X0)) = ld(sF2,ld(X0,X0)),
inference(forward_demodulation,[],[f4276,f12]) ).
fof(f4452,plain,
ld(sF2,ld(sF4,sF4)) = rd(sF4,ld(sF2,sK0)),
inference(superposition,[],[f4288,f4010]) ).
fof(f4500,plain,
ld(sF2,ld(sF4,sF4)) = mult(sF4,ld(sK0,sF2)),
inference(forward_demodulation,[],[f4452,f545]) ).
fof(f4555,plain,
mult(sK0,sK0) = ld(ld(sF4,sF2),sK0),
inference(superposition,[],[f2932,f21]) ).
fof(f4628,plain,
! [X0] : rd(X0,X0) = mult(mult(ld(X0,ld(X0,X0)),X0),rd(X0,X0)),
inference(superposition,[],[f55,f3274]) ).
fof(f4648,plain,
! [X0] : rd(mult(X0,X0),mult(mult(X0,X0),mult(X0,X0))) = ld(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f2799,f3274]) ).
fof(f4651,plain,
! [X0] : ld(mult(X0,X0),ld(mult(X0,X0),mult(X0,X0))) = ld(X0,ld(X0,ld(X0,X0))),
inference(forward_demodulation,[],[f4648,f2903]) ).
fof(f4661,plain,
! [X0] : ld(X0,X0) = mult(mult(ld(X0,ld(X0,X0)),X0),ld(X0,X0)),
inference(forward_demodulation,[],[f4628,f1893]) ).
fof(f4672,plain,
! [X0] : ld(mult(X0,X0),ld(X0,X0)) = ld(X0,ld(X0,ld(X0,X0))),
inference(forward_demodulation,[],[f4651,f2277]) ).
fof(f4680,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,ld(rd(X0,X0),X0)),ld(X0,X0)),
inference(forward_demodulation,[],[f4661,f1989]) ).
fof(f4709,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f4680,f46]) ).
fof(f4721,plain,
! [X0] : ld(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f4709,f1998]) ).
fof(f5166,plain,
! [X2,X3,X0,X1] : ld(mult(X0,ld(X1,X2)),rd(X3,ld(X1,X2))) = mult(ld(ld(X1,X2),ld(X0,X3)),ld(X2,X1)),
inference(superposition,[],[f545,f541]) ).
fof(f5170,plain,
! [X2,X3,X0,X1] : ld(mult(X0,ld(X1,X2)),mult(X3,ld(X2,X1))) = mult(ld(ld(X1,X2),ld(X0,X3)),ld(X2,X1)),
inference(forward_demodulation,[],[f5166,f545]) ).
fof(f5272,plain,
! [X2,X0,X1] : ld(X0,mult(X0,ld(X1,X2))) = rd(ld(X2,X1),mult(ld(X2,X1),ld(X2,X1))),
inference(superposition,[],[f2921,f545]) ).
fof(f5371,plain,
! [X2,X0,X1] : ld(X0,mult(X0,ld(X1,X2))) = ld(ld(X2,X1),ld(ld(X2,X1),ld(X2,X1))),
inference(forward_demodulation,[],[f5272,f2903]) ).
fof(f5390,plain,
! [X2,X1] : ld(X1,X2) = ld(ld(X2,X1),ld(ld(X2,X1),ld(X2,X1))),
inference(forward_demodulation,[],[f5371,f11]) ).
fof(f5744,plain,
! [X0] : mult(rd(sF2,sF2),mult(sF2,X0)) = ld(sF2,mult(rd(X0,sF2),sF2)),
inference(superposition,[],[f89,f4086]) ).
fof(f5745,plain,
! [X0] : mult(sF2,X0) = mult(ld(sF2,mult(X0,sF2)),sF2),
inference(superposition,[],[f2190,f4086]) ).
fof(f5788,plain,
! [X0] : mult(sF2,X0) = ld(sF2,ld(mult(sF2,sF2),X0)),
inference(forward_demodulation,[],[f5745,f2214]) ).
fof(f5789,plain,
! [X0] : ld(sF2,X0) = mult(rd(sF2,sF2),mult(sF2,X0)),
inference(forward_demodulation,[],[f5744,f12]) ).
fof(f5820,plain,
! [X0] : mult(sF2,X0) = ld(sF2,ld(sF2,X0)),
inference(forward_demodulation,[],[f5788,f4000]) ).
fof(f5821,plain,
! [X0] : ld(sF2,X0) = mult(ld(sF2,sF2),mult(sF2,X0)),
inference(forward_demodulation,[],[f5789,f1893]) ).
fof(f5847,plain,
! [X0] : ld(sF2,X0) = mult(sF2,mult(sF2,X0)),
inference(forward_demodulation,[],[f5821,f3997]) ).
fof(f5881,plain,
! [X0] : mult(ld(sF2,X0),sF2) = ld(sF2,mult(mult(sF2,X0),sF2)),
inference(superposition,[],[f4086,f5847]) ).
fof(f5929,plain,
! [X0] : mult(ld(sF2,X0),sF2) = ld(sF2,ld(sF2,mult(X0,sF2))),
inference(forward_demodulation,[],[f5881,f4086]) ).
fof(f5949,plain,
! [X0] : mult(sF2,mult(X0,sF2)) = mult(ld(sF2,X0),sF2),
inference(forward_demodulation,[],[f5929,f5820]) ).
fof(f6204,plain,
! [X2,X3,X0,X1] : rd(ld(ld(X3,X2),X1),ld(X3,X2)) = ld(mult(X0,ld(X3,X2)),mult(mult(X0,X1),ld(X2,X3))),
inference(superposition,[],[f204,f545]) ).
fof(f6234,plain,
! [X2,X3,X1] : rd(ld(ld(X3,X2),X1),ld(X3,X2)) = ld(X2,mult(mult(X3,X1),ld(X2,X3))),
inference(forward_demodulation,[],[f6204,f881]) ).
fof(f6273,plain,
! [X2,X3,X1] : ld(X2,mult(mult(X3,X1),ld(X2,X3))) = mult(ld(ld(X3,X2),X1),ld(X2,X3)),
inference(forward_demodulation,[],[f6234,f545]) ).
fof(f6293,plain,
! [X2,X3,X0,X1] : ld(mult(X0,ld(X1,X2)),mult(X3,ld(X2,X1))) = ld(X2,mult(mult(X1,ld(X0,X3)),ld(X2,X1))),
inference(backward_demodulation,[],[f5170,f6273]) ).
fof(f6861,plain,
rd(sF4,mult(sK0,sF4)) = rd(ld(sF2,sF2),sK0),
inference(superposition,[],[f2004,f35]) ).
fof(f6865,plain,
rd(sF2,sK0) = rd(sF4,mult(sK0,sF4)),
inference(forward_demodulation,[],[f6861,f3997]) ).
fof(f6891,plain,
rd(sF4,mult(mult(sK0,sF4),sF4)) = rd(ld(rd(sF2,sK0),rd(sF2,sK0)),mult(sK0,sF4)),
inference(superposition,[],[f2004,f6865]) ).
fof(f6919,plain,
rd(sF2,sF3) = mult(rd(sF2,sF4),sF2),
inference(superposition,[],[f2151,f4000]) ).
fof(f6920,plain,
rd(sF3,sF3) = mult(rd(sK0,sF4),sF2),
inference(superposition,[],[f2151,f2147]) ).
fof(f6983,plain,
mult(rd(sK0,sF4),sF2) = ld(sF3,sF3),
inference(forward_demodulation,[],[f6920,f1893]) ).
fof(f7050,plain,
rd(sK0,sF4) = mult(ld(sF3,sF3),sF2),
inference(superposition,[],[f2190,f6983]) ).
fof(f7058,plain,
! [X0] : mult(mult(X0,rd(sK0,sF4)),rd(sF2,rd(sK0,sF4))) = rd(mult(X0,ld(sF3,sF3)),rd(sK0,sF4)),
inference(superposition,[],[f55,f6983]) ).
fof(f7121,plain,
ld(rd(sF3,sF2),mult(sF3,sF2)) = mult(sF2,rd(sK0,sF4)),
inference(superposition,[],[f104,f7050]) ).
fof(f7170,plain,
mult(sF2,rd(sK0,sF4)) = ld(rd(sF3,sF2),sK0),
inference(forward_demodulation,[],[f7121,f2147]) ).
fof(f7184,plain,
mult(sF2,rd(sK0,sF4)) = ld(mult(sF3,sF2),sK0),
inference(forward_demodulation,[],[f7170,f2126]) ).
fof(f7191,plain,
ld(sK0,sK0) = mult(sF2,rd(sK0,sF4)),
inference(forward_demodulation,[],[f7184,f2147]) ).
fof(f7200,plain,
sF2 = rd(ld(sK0,sK0),rd(sK0,sF4)),
inference(superposition,[],[f13,f7191]) ).
fof(f7202,plain,
! [X0] : mult(mult(X0,sF2),rd(sK0,sF4)) = mult(rd(X0,rd(sK0,sF4)),mult(rd(sK0,sF4),ld(sK0,sK0))),
inference(superposition,[],[f38,f7191]) ).
fof(f7205,plain,
! [X0] : mult(mult(X0,sF2),rd(rd(sK0,sF4),sF2)) = rd(mult(X0,ld(sK0,sK0)),sF2),
inference(superposition,[],[f55,f7191]) ).
fof(f7218,plain,
! [X0] : ld(ld(sK0,sK0),sF2) = ld(X0,rd(X0,rd(sK0,sF4))),
inference(superposition,[],[f502,f7191]) ).
fof(f7224,plain,
! [X0] : mult(mult(X0,sF2),rd(rd(sK0,sF4),sF2)) = mult(mult(X0,ld(sK0,sK0)),sF2),
inference(forward_demodulation,[],[f7205,f2126]) ).
fof(f7230,plain,
! [X0] : mult(mult(X0,ld(sK0,sK0)),sF2) = mult(mult(X0,sF2),mult(rd(sK0,sF4),sF2)),
inference(forward_demodulation,[],[f7224,f2126]) ).
fof(f7233,plain,
! [X0] : mult(mult(X0,sF2),ld(sF3,sF3)) = mult(mult(X0,ld(sK0,sK0)),sF2),
inference(forward_demodulation,[],[f7230,f6983]) ).
fof(f10909,plain,
mult(mult(sK0,rd(sK0,sF4)),sF2) = mult(sF3,mult(sF2,ld(sF3,sF3))),
inference(superposition,[],[f2242,f6983]) ).
fof(f13413,plain,
! [X0,X1] : mult(mult(X1,X0),ld(X0,X1)) = mult(X0,mult(ld(X0,X1),X1)),
inference(superposition,[],[f608,f10]) ).
fof(f13966,plain,
mult(sF4,ld(sK0,sF2)) = mult(sK0,mult(ld(sK0,sF2),sF2)),
inference(superposition,[],[f13413,f21]) ).
fof(f14154,plain,
ld(sF2,ld(sF4,sF4)) = mult(sK0,mult(ld(sK0,sF2),sF2)),
inference(forward_demodulation,[],[f13966,f4500]) ).
fof(f14999,plain,
! [X0,X1] : mult(ld(X1,ld(X1,X1)),X0) = rd(ld(X1,mult(X0,X1)),X1),
inference(superposition,[],[f2078,f13]) ).
fof(f15016,plain,
! [X0,X1] : ld(X0,ld(X0,X0)) = rd(rd(ld(X0,X1),X0),rd(X1,X0)),
inference(superposition,[],[f13,f2078]) ).
fof(f15065,plain,
! [X0,X1] : ld(X0,ld(X0,X0)) = mult(rd(ld(X0,X1),mult(X0,X1)),X0),
inference(forward_demodulation,[],[f15016,f1276]) ).
fof(f15234,plain,
mult(ld(rd(sK0,sF4),ld(rd(sK0,sF4),rd(sK0,sF4))),sF2) = rd(ld(rd(sK0,sF4),ld(sK0,sK0)),rd(sK0,sF4)),
inference(superposition,[],[f14999,f7191]) ).
fof(f15323,plain,
mult(ld(rd(sK0,sF4),ld(rd(sK0,sF4),rd(sK0,sF4))),sF2) = ld(mult(sK0,rd(sK0,sF4)),rd(sK0,rd(sK0,sF4))),
inference(forward_demodulation,[],[f15234,f541]) ).
fof(f16397,plain,
mult(rd(sK0,sF4),ld(sK0,sK0)) = ld(rd(sF2,rd(sK0,sF4)),ld(sK0,sK0)),
inference(superposition,[],[f4001,f7191]) ).
fof(f17163,plain,
mult(mult(sK0,ld(sK0,sF2)),rd(sF2,ld(sK0,sF2))) = rd(ld(sF2,ld(sF4,sF4)),ld(sK0,sF2)),
inference(superposition,[],[f55,f14154]) ).
fof(f17205,plain,
mult(mult(sK0,ld(sK0,sF2)),rd(sF2,ld(sK0,sF2))) = mult(ld(sF2,ld(sF4,sF4)),ld(sF2,sK0)),
inference(forward_demodulation,[],[f17163,f545]) ).
fof(f17212,plain,
mult(ld(sF2,ld(sF4,sF4)),ld(sF2,sK0)) = mult(mult(sK0,ld(sK0,sF2)),mult(sF2,ld(sF2,sK0))),
inference(forward_demodulation,[],[f17205,f545]) ).
fof(f17218,plain,
mult(ld(sF2,ld(sF4,sF4)),ld(sF2,sK0)) = mult(mult(sK0,ld(sK0,sF2)),sK0),
inference(forward_demodulation,[],[f17212,f10]) ).
fof(f17224,plain,
mult(sF2,sK0) = mult(ld(sF2,ld(sF4,sF4)),ld(sF2,sK0)),
inference(forward_demodulation,[],[f17218,f10]) ).
fof(f17232,plain,
sF4 = mult(ld(sF2,ld(sF4,sF4)),ld(sF2,sK0)),
inference(forward_demodulation,[],[f17224,f21]) ).
fof(f17394,plain,
rd(sF2,sF4) = mult(rd(sF2,sF3),sF2),
inference(superposition,[],[f2190,f6919]) ).
fof(f17724,plain,
! [X0] : mult(ld(X0,ld(X0,X0)),sF2) = mult(sF2,mult(rd(sF2,X0),sF2)),
inference(superposition,[],[f5949,f1993]) ).
fof(f17830,plain,
ld(mult(sK0,rd(sK0,sF4)),rd(sK0,rd(sK0,sF4))) = mult(sF2,mult(rd(sF2,rd(sK0,sF4)),sF2)),
inference(backward_demodulation,[],[f15323,f17724]) ).
fof(f18795,plain,
! [X0,X1] : ld(X1,ld(X1,X1)) = mult(rd(X0,mult(X1,mult(X1,X0))),X1),
inference(superposition,[],[f15065,f11]) ).
fof(f18925,plain,
ld(rd(sK0,sF4),ld(rd(sK0,sF4),rd(sK0,sF4))) = mult(rd(ld(rd(sK0,sF4),sF2),ld(sF3,sF3)),rd(sK0,sF4)),
inference(superposition,[],[f15065,f6983]) ).
fof(f18962,plain,
! [X0,X1] : rd(ld(X0,ld(X0,X0)),X0) = rd(ld(X0,X1),mult(X0,X1)),
inference(superposition,[],[f13,f15065]) ).
fof(f19080,plain,
! [X0,X1] : ld(mult(X0,X0),rd(X0,X0)) = rd(ld(X0,X1),mult(X0,X1)),
inference(forward_demodulation,[],[f18962,f541]) ).
fof(f19106,plain,
ld(rd(sK0,sF4),ld(rd(sK0,sF4),rd(sK0,sF4))) = mult(mult(ld(rd(sK0,sF4),sF2),ld(sF3,sF3)),rd(sK0,sF4)),
inference(forward_demodulation,[],[f18925,f545]) ).
fof(f19206,plain,
! [X0,X1] : ld(mult(X0,X0),ld(X0,X0)) = rd(ld(X0,X1),mult(X0,X1)),
inference(forward_demodulation,[],[f19080,f1893]) ).
fof(f19551,plain,
! [X0,X1] : ld(ld(X0,ld(X0,X0)),rd(X1,X0)) = rd(ld(X0,mult(X0,mult(X0,X1))),X0),
inference(superposition,[],[f539,f18795]) ).
fof(f19680,plain,
! [X0,X1] : rd(mult(X0,X1),X0) = ld(ld(X0,ld(X0,X0)),rd(X1,X0)),
inference(forward_demodulation,[],[f19551,f11]) ).
fof(f22083,plain,
ld(rd(sF2,sK0),rd(sF2,sK0)) = mult(rd(sF2,sF3),sK0),
inference(superposition,[],[f2001,f19]) ).
fof(f22257,plain,
rd(sF4,mult(mult(sK0,sF4),sF4)) = rd(mult(rd(sF2,sF3),sK0),mult(sK0,sF4)),
inference(backward_demodulation,[],[f6891,f22083]) ).
fof(f22343,plain,
rd(sF4,mult(mult(sK0,sF4),sF4)) = rd(mult(rd(sF2,sF3),sF2),sK0),
inference(forward_demodulation,[],[f22257,f2133]) ).
fof(f22386,plain,
rd(sF4,mult(mult(sK0,sF4),sF4)) = rd(rd(sF2,sF4),sK0),
inference(forward_demodulation,[],[f22343,f17394]) ).
fof(f24845,plain,
rd(sK0,mult(ld(sF4,sF2),ld(sK0,sK0))) = ld(mult(ld(sF4,sF2),ld(sF4,sF2)),ld(ld(sF4,sF2),ld(sF4,sF2))),
inference(superposition,[],[f19206,f1583]) ).
fof(f24848,plain,
rd(sK0,mult(ld(sF4,sF2),ld(sK0,sK0))) = ld(ld(sF4,sF2),ld(ld(sF4,sF2),ld(ld(sF4,sF2),ld(sF4,sF2)))),
inference(forward_demodulation,[],[f24845,f4672]) ).
fof(f24861,plain,
ld(ld(sF4,sF2),ld(sF2,sF4)) = rd(sK0,mult(ld(sF4,sF2),ld(sK0,sK0))),
inference(forward_demodulation,[],[f24848,f5390]) ).
fof(f24870,plain,
ld(ld(sF4,sF2),sK0) = rd(sK0,mult(ld(sF4,sF2),ld(sK0,sK0))),
inference(forward_demodulation,[],[f24861,f48]) ).
fof(f24878,plain,
mult(sK0,sK0) = rd(sK0,mult(ld(sF4,sF2),ld(sK0,sK0))),
inference(forward_demodulation,[],[f24870,f4555]) ).
fof(f24903,plain,
mult(ld(sF4,sF2),ld(sK0,sK0)) = ld(mult(sK0,sK0),sK0),
inference(superposition,[],[f46,f24878]) ).
fof(f24946,plain,
ld(sK0,ld(sK0,sK0)) = mult(ld(sF4,sF2),ld(sK0,sK0)),
inference(forward_demodulation,[],[f24903,f1995]) ).
fof(f24971,plain,
ld(sF4,sF2) = mult(ld(sF4,sF2),ld(sK0,sK0)),
inference(forward_demodulation,[],[f24946,f2008]) ).
fof(f25840,plain,
! [X0,X1] : ld(ld(X1,ld(X1,X1)),X0) = rd(mult(X1,mult(X0,X1)),X1),
inference(superposition,[],[f19680,f13]) ).
fof(f26158,plain,
ld(ld(rd(sK0,sF4),ld(rd(sK0,sF4),rd(sK0,sF4))),sF2) = rd(mult(rd(sK0,sF4),ld(sK0,sK0)),rd(sK0,sF4)),
inference(superposition,[],[f25840,f7191]) ).
fof(f27302,plain,
mult(mult(sK0,sF4),sF4) = ld(rd(rd(sF2,sF4),sK0),sF4),
inference(superposition,[],[f46,f22386]) ).
fof(f27334,plain,
mult(mult(sK0,sF4),sF4) = mult(sK0,mult(sF4,sK0)),
inference(forward_demodulation,[],[f27302,f130]) ).
fof(f27407,plain,
mult(sK0,sF4) = rd(mult(sK0,mult(sF4,sK0)),sF4),
inference(superposition,[],[f13,f27334]) ).
fof(f27467,plain,
mult(sK0,sF4) = mult(mult(sK0,sF4),rd(sK0,sF4)),
inference(forward_demodulation,[],[f27407,f55]) ).
fof(f27487,plain,
rd(sK0,sF4) = ld(mult(sK0,sF4),mult(sK0,sF4)),
inference(superposition,[],[f11,f27467]) ).
fof(f27511,plain,
! [X0] : ld(mult(sK0,sF4),mult(sK0,sF4)) = ld(X0,rd(X0,rd(sK0,sF4))),
inference(superposition,[],[f502,f27467]) ).
fof(f27512,plain,
! [X0] : rd(X0,rd(sK0,sF4)) = mult(X0,ld(mult(sK0,sF4),mult(sK0,sF4))),
inference(superposition,[],[f503,f27467]) ).
fof(f27515,plain,
ld(mult(sK0,sF4),mult(sK0,sF4)) = ld(rd(sK0,sF4),ld(rd(sK0,sF4),rd(sK0,sF4))),
inference(superposition,[],[f1995,f27467]) ).
fof(f27541,plain,
rd(mult(rd(sK0,sF4),ld(sK0,sK0)),rd(sK0,sF4)) = ld(ld(mult(sK0,sF4),mult(sK0,sF4)),sF2),
inference(backward_demodulation,[],[f26158,f27515]) ).
fof(f27543,plain,
ld(mult(sK0,sF4),mult(sK0,sF4)) = mult(mult(ld(rd(sK0,sF4),sF2),ld(sF3,sF3)),rd(sK0,sF4)),
inference(backward_demodulation,[],[f19106,f27515]) ).
fof(f27551,plain,
ld(mult(sK0,sF4),mult(sK0,sF4)) = ld(ld(sK0,sK0),sF2),
inference(forward_demodulation,[],[f27511,f7218]) ).
fof(f27562,plain,
! [X0] : mult(X0,rd(sK0,sF4)) = rd(X0,rd(sK0,sF4)),
inference(backward_demodulation,[],[f27512,f27487]) ).
fof(f27575,plain,
rd(sK0,sF4) = mult(mult(ld(rd(sK0,sF4),sF2),ld(sF3,sF3)),rd(sK0,sF4)),
inference(forward_demodulation,[],[f27543,f27487]) ).
fof(f27577,plain,
ld(rd(sK0,sF4),sF2) = rd(mult(rd(sK0,sF4),ld(sK0,sK0)),rd(sK0,sF4)),
inference(forward_demodulation,[],[f27541,f27487]) ).
fof(f27581,plain,
rd(sK0,sF4) = ld(ld(sK0,sK0),sF2),
inference(forward_demodulation,[],[f27551,f27487]) ).
fof(f27594,plain,
! [X0] : mult(mult(X0,sF2),rd(sK0,sF4)) = mult(mult(X0,rd(sK0,sF4)),mult(rd(sK0,sF4),ld(sK0,sK0))),
inference(backward_demodulation,[],[f7202,f27562]) ).
fof(f27612,plain,
sF2 = mult(ld(sK0,sK0),rd(sK0,sF4)),
inference(backward_demodulation,[],[f7200,f27562]) ).
fof(f27614,plain,
! [X0] : mult(mult(X0,rd(sK0,sF4)),rd(sF2,rd(sK0,sF4))) = mult(mult(X0,ld(sF3,sF3)),rd(sK0,sF4)),
inference(backward_demodulation,[],[f7058,f27562]) ).
fof(f27632,plain,
mult(sF2,mult(rd(sF2,rd(sK0,sF4)),sF2)) = ld(mult(sK0,rd(sK0,sF4)),mult(sK0,rd(sK0,sF4))),
inference(backward_demodulation,[],[f17830,f27562]) ).
fof(f27634,plain,
mult(rd(sK0,sF4),ld(sK0,sK0)) = ld(mult(sF2,rd(sK0,sF4)),ld(sK0,sK0)),
inference(backward_demodulation,[],[f16397,f27562]) ).
fof(f27642,plain,
ld(rd(sK0,sF4),sF2) = mult(mult(rd(sK0,sF4),ld(sK0,sK0)),rd(sK0,sF4)),
inference(forward_demodulation,[],[f27577,f27562]) ).
fof(f27652,plain,
mult(rd(sK0,sF4),ld(sK0,sK0)) = ld(ld(sK0,sK0),ld(sK0,sK0)),
inference(forward_demodulation,[],[f27634,f7191]) ).
fof(f27654,plain,
ld(mult(sK0,rd(sK0,sF4)),mult(sK0,rd(sK0,sF4))) = mult(sF2,mult(mult(sF2,rd(sK0,sF4)),sF2)),
inference(forward_demodulation,[],[f27632,f27562]) ).
fof(f27657,plain,
! [X0] : mult(mult(X0,ld(sF3,sF3)),rd(sK0,sF4)) = mult(mult(X0,rd(sK0,sF4)),mult(sF2,rd(sK0,sF4))),
inference(forward_demodulation,[],[f27614,f27562]) ).
fof(f27671,plain,
ld(sK0,sK0) = mult(rd(sK0,sF4),ld(sK0,sK0)),
inference(forward_demodulation,[],[f27652,f4721]) ).
fof(f27673,plain,
ld(mult(sK0,rd(sK0,sF4)),mult(sK0,rd(sK0,sF4))) = mult(sF2,ld(sF2,mult(rd(sK0,sF4),sF2))),
inference(forward_demodulation,[],[f27654,f4086]) ).
fof(f27675,plain,
! [X0] : mult(mult(X0,ld(sF3,sF3)),rd(sK0,sF4)) = mult(mult(X0,rd(sK0,sF4)),ld(sK0,sK0)),
inference(forward_demodulation,[],[f27657,f7191]) ).
fof(f27691,plain,
! [X0] : mult(mult(X0,sF2),rd(sK0,sF4)) = mult(mult(X0,rd(sK0,sF4)),ld(sK0,sK0)),
inference(backward_demodulation,[],[f27594,f27671]) ).
fof(f27694,plain,
mult(ld(sK0,sK0),rd(sK0,sF4)) = ld(rd(sK0,sF4),sF2),
inference(backward_demodulation,[],[f27642,f27671]) ).
fof(f27696,plain,
mult(rd(sK0,sF4),sF2) = ld(mult(sK0,rd(sK0,sF4)),mult(sK0,rd(sK0,sF4))),
inference(forward_demodulation,[],[f27673,f10]) ).
fof(f27704,plain,
sF2 = ld(rd(sK0,sF4),sF2),
inference(forward_demodulation,[],[f27694,f27612]) ).
fof(f27707,plain,
! [X0] : mult(mult(X0,sF2),rd(sK0,sF4)) = mult(mult(X0,ld(sF3,sF3)),rd(sK0,sF4)),
inference(backward_demodulation,[],[f27675,f27691]) ).
fof(f27710,plain,
ld(sF3,sF3) = ld(mult(sK0,rd(sK0,sF4)),mult(sK0,rd(sK0,sF4))),
inference(forward_demodulation,[],[f27696,f6983]) ).
fof(f27718,plain,
rd(sK0,sF4) = mult(mult(sF2,ld(sF3,sF3)),rd(sK0,sF4)),
inference(backward_demodulation,[],[f27575,f27704]) ).
fof(f27728,plain,
rd(sK0,sF4) = mult(mult(sF2,sF2),rd(sK0,sF4)),
inference(forward_demodulation,[],[f27718,f27707]) ).
fof(f27733,plain,
rd(sK0,sF4) = mult(sF2,rd(sK0,sF4)),
inference(forward_demodulation,[],[f27728,f4000]) ).
fof(f27735,plain,
ld(sK0,sK0) = rd(sK0,sF4),
inference(forward_demodulation,[],[f27733,f7191]) ).
fof(f27773,plain,
mult(sF3,mult(sF2,ld(sF3,sF3))) = mult(mult(sK0,ld(sK0,sK0)),sF2),
inference(backward_demodulation,[],[f10909,f27735]) ).
fof(f27808,plain,
ld(sK0,sK0) = ld(ld(sK0,sK0),sF2),
inference(backward_demodulation,[],[f27581,f27735]) ).
fof(f27846,plain,
sF2 = ld(ld(sK0,sK0),sF2),
inference(backward_demodulation,[],[f27704,f27735]) ).
fof(f27850,plain,
ld(sF3,sF3) = ld(mult(sK0,ld(sK0,sK0)),mult(sK0,ld(sK0,sK0))),
inference(backward_demodulation,[],[f27710,f27735]) ).
fof(f27869,plain,
ld(sF3,sF3) = ld(sK0,mult(mult(sK0,ld(sK0,sK0)),ld(sK0,sK0))),
inference(forward_demodulation,[],[f27850,f6293]) ).
fof(f27895,plain,
sF2 = ld(sK0,sK0),
inference(forward_demodulation,[],[f27808,f27846]) ).
fof(f27908,plain,
mult(sF3,mult(sF2,ld(sF3,sF3))) = mult(mult(sK0,sF2),ld(sF3,sF3)),
inference(forward_demodulation,[],[f27773,f7233]) ).
fof(f27926,plain,
ld(sK0,sK0) = ld(sF3,sF3),
inference(forward_demodulation,[],[f27869,f858]) ).
fof(f28042,plain,
ld(sF4,sF2) = ld(sK0,sF2),
inference(backward_demodulation,[],[f2008,f27895]) ).
fof(f28071,plain,
ld(sF4,sF2) = mult(ld(sF4,sF2),sF2),
inference(backward_demodulation,[],[f24971,f27895]) ).
fof(f28155,plain,
mult(sF3,mult(sF2,ld(sF3,sF3))) = mult(sF3,ld(sF3,sF3)),
inference(forward_demodulation,[],[f27908,f19]) ).
fof(f28168,plain,
sF2 = ld(sF3,sF3),
inference(forward_demodulation,[],[f27926,f27895]) ).
fof(f28449,plain,
ld(sK0,sF2) = mult(ld(sK0,sF2),sF2),
inference(backward_demodulation,[],[f28071,f28042]) ).
fof(f28470,plain,
sF3 = mult(sF3,mult(sF2,ld(sF3,sF3))),
inference(forward_demodulation,[],[f28155,f10]) ).
fof(f28672,plain,
ld(sF2,ld(sF4,sF4)) = mult(sK0,ld(sK0,sF2)),
inference(backward_demodulation,[],[f14154,f28449]) ).
fof(f28769,plain,
sF3 = mult(sF3,mult(sF2,sF2)),
inference(forward_demodulation,[],[f28470,f28168]) ).
fof(f28928,plain,
sF2 = ld(sF2,ld(sF4,sF4)),
inference(forward_demodulation,[],[f28672,f10]) ).
fof(f28970,plain,
sF3 = mult(sF3,sF2),
inference(forward_demodulation,[],[f28769,f4000]) ).
fof(f29155,plain,
sF4 = mult(sF2,ld(sF2,sK0)),
inference(backward_demodulation,[],[f17232,f28928]) ).
fof(f29193,plain,
sK0 = sF3,
inference(forward_demodulation,[],[f28970,f2147]) ).
fof(f30053,plain,
sK0 = sF4,
inference(forward_demodulation,[],[f29155,f10]) ).
fof(f30069,plain,
spl5_2,
inference(avatar_split_clause,[],[f29193,f28]) ).
fof(f30684,plain,
spl5_1,
inference(avatar_split_clause,[],[f30053,f24]) ).
cnf(s1,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(sat_conversion,[],[f31]) ).
cnf(s2,plain,
spl5_2,
inference(sat_conversion,[],[f30069]) ).
cnf(s4,plain,
spl5_1,
inference(sat_conversion,[],[f30684]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s1,s2,s4]) ).
fof(f33159,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP655+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n009.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:31:44 UTC 2026
% 0.15/0.38 % CPUTime :
% 0.15/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.23/2.59 % (1834222)Detected formulas, will run a generic FOF schedule.
% 11.23/2.59 % (1834230)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1309890162:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.23/2.59 % (1834230)Refutation not found, incomplete strategy
% 11.23/2.59 % (1834230)------------------------------
% 11.23/2.59 % (1834230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.59 % (1834230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.59 % (1834230)CaDiCaL version: 2.1.3
% 11.23/2.59 % (1834230)Termination reason: Refutation not found, incomplete strategy
% 11.23/2.59 % (1834230)Time elapsed: 0.001 s
% 11.23/2.59 % (1834230)Peak memory usage: 88 MB
% 11.23/2.59 % (1834229)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=718261371:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.23/2.59 % (1834231)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2305496244:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.23/2.59 % (1834232)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3659310565:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.23/2.59 % (1834228)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=3742098289:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.23/2.59 % (1834227)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=2345806914:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.23/2.59 % (1834233)dis-21_1_sil=8000:lcm=predicate:random_seed=2806480507: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)
% 11.23/2.59 % (1834233)Refutation not found, incomplete strategy
% 11.23/2.59 % (1834233)------------------------------
% 11.23/2.59 % (1834233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.59 % (1834233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.59 % (1834233)CaDiCaL version: 2.1.3
% 11.23/2.59 % (1834233)Termination reason: Refutation not found, incomplete strategy
% 11.23/2.59 % (1834233)Time elapsed: 0.001 s
% 11.23/2.59 % (1834233)Peak memory usage: 88 MB
% 11.23/2.59 % (1834231)Instruction limit reached!
% 11.23/2.59 % (1834231)------------------------------
% 11.23/2.59 % (1834231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.59 % (1834231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.59 % (1834231)CaDiCaL version: 2.1.3
% 11.23/2.59 % (1834231)Termination reason: Instruction limit
% 11.23/2.59 % (1834231)Termination phase: Saturation
% 11.23/2.59 % (1834231)Time elapsed: 0.068 s
% 11.23/2.59 % (1834231)Peak memory usage: 88 MB
% 11.23/2.59 % (1834231)Instructions burned: 119 (million)
% 11.23/2.59 % (1834232)Instruction limit reached!
% 11.23/2.59 % (1834232)------------------------------
% 11.23/2.59 % (1834232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.59 % (1834232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.59 % (1834232)CaDiCaL version: 2.1.3
% 11.23/2.59 % (1834232)Termination reason: Instruction limit
% 11.23/2.59 % (1834232)Termination phase: Saturation
% 11.23/2.59 % (1834232)Time elapsed: 0.082 s
% 11.23/2.59 % (1834232)Peak memory usage: 89 MB
% 11.23/2.59 % (1834232)Instructions burned: 139 (million)
% 11.23/2.59 % (1834230)------------------------------
% 11.23/2.59 % (1834230)------------------------------
% 11.23/2.59 % (1834241)lrs+10_1_sil=8000:sp=occurrence:random_seed=3185546853:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.23/2.59 % (1834243)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2338227127:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.23/2.59 % (1834242)lrs+10_1_sil=32000:urr=on:br=off:random_seed=966141188:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.23/2.59 % (1834233)------------------------------
% 11.23/2.59 % (1834233)------------------------------
% 11.23/2.59 % (1834242)Instruction limit reached!
% 11.23/2.59 % (1834242)------------------------------
% 11.23/2.59 % (1834242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.04 % (1834242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.04 % (1834242)CaDiCaL version: 2.1.3
% 15.80/3.04 % (1834242)Termination reason: Instruction limit
% 15.80/3.04 % (1834242)Termination phase: Saturation
% 15.80/3.04 % (1834242)Time elapsed: 0.100 s
% 15.80/3.04 % (1834242)Peak memory usage: 90 MB
% 15.80/3.04 % (1834242)Instructions burned: 158 (million)
% 15.80/3.04 % (1834243)Instruction limit reached!
% 15.80/3.04 % (1834243)------------------------------
% 15.80/3.04 % (1834243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.04 % (1834243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.04 % (1834243)CaDiCaL version: 2.1.3
% 15.80/3.04 % (1834243)Termination reason: Instruction limit
% 15.80/3.04 % (1834243)Termination phase: Saturation
% 15.80/3.04 % (1834243)Time elapsed: 0.107 s
% 15.80/3.04 % (1834243)Peak memory usage: 93 MB
% 15.80/3.04 % (1834243)Instructions burned: 327 (million)
% 15.80/3.04 % (1834241)Instruction limit reached!
% 15.80/3.04 % (1834241)------------------------------
% 15.80/3.04 % (1834241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.04 % (1834241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.04 % (1834241)CaDiCaL version: 2.1.3
% 15.80/3.04 % (1834241)Termination reason: Instruction limit
% 15.80/3.04 % (1834241)Termination phase: Saturation
% 15.80/3.04 % (1834241)Time elapsed: 0.179 s
% 15.80/3.04 % (1834241)Peak memory usage: 92 MB
% 15.80/3.04 % (1834241)Instructions burned: 286 (million)
% 15.80/3.04 % (1834247)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=1604378721:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 15.80/3.04 % (1834249)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4227176173:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 15.80/3.04 % (1834248)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2440636428:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 15.80/3.04 % (1834248)Refutation not found, incomplete strategy
% 15.80/3.04 % (1834248)------------------------------
% 15.80/3.04 % (1834248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.04 % (1834248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.04 % (1834248)CaDiCaL version: 2.1.3
% 15.80/3.04 % (1834248)Termination reason: Refutation not found, incomplete strategy
% 15.80/3.04 % (1834248)Time elapsed: 0.001 s
% 15.80/3.04 % (1834248)Peak memory usage: 88 MB
% 15.80/3.04 % (1834250)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3451243894:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 15.80/3.04 % (1834250)Refutation not found, incomplete strategy
% 15.80/3.04 % (1834250)------------------------------
% 15.80/3.04 % (1834250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.04 % (1834250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.04 % (1834247)Instruction limit reached!
% 15.80/3.04 % (1834247)------------------------------
% 15.80/3.04 % (1834247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.04 % (1834250)CaDiCaL version: 2.1.3
% 15.80/3.04 % (1834250)Termination reason: Refutation not found, incomplete strategy
% 15.80/3.04 % (1834250)Time elapsed: 0.001 s
% 15.80/3.04 % (1834247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.04 % (1834250)Peak memory usage: 88 MB
% 15.80/3.04 % (1834247)CaDiCaL version: 2.1.3
% 15.80/3.04 % (1834247)Termination reason: Instruction limit
% 15.80/3.04 % (1834247)Termination phase: Saturation
% 15.80/3.04 % (1834247)Time elapsed: 0.162 s
% 15.80/3.04 % (1834247)Peak memory usage: 92 MB
% 15.80/3.04 % (1834247)Instructions burned: 249 (million)
% 15.80/3.04 % (1834229)Refutation not found, incomplete strategy
% 15.80/3.04 % (1834229)------------------------------
% 15.80/3.04 % (1834229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.80/3.04 % (1834229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.80/3.04 % (1834229)CaDiCaL version: 2.1.3
% 15.80/3.04 % (1834229)Termination reason: Refutation not found, incomplete strategy
% 15.80/3.04 % (1834229)Time elapsed: 0.596 s
% 15.80/3.04 % (1834229)Peak memory usage: 125 MB
% 15.80/3.04 % (1834229)Instructions burned: 883 (million)
% 15.80/3.04 % (1834248)------------------------------
% 27.85/4.84 % (1834248)------------------------------
% 27.85/4.84 % (1834255)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=166611687:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 27.85/4.84 % (1834255)Refutation not found, incomplete strategy
% 27.85/4.84 % (1834255)------------------------------
% 27.85/4.84 % (1834255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.85/4.84 % (1834255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.85/4.84 % (1834255)CaDiCaL version: 2.1.3
% 27.85/4.84 % (1834255)Termination reason: Refutation not found, incomplete strategy
% 27.85/4.84 % (1834255)Time elapsed: 0.001 s
% 27.85/4.84 % (1834255)Peak memory usage: 87 MB
% 27.85/4.84 % (1834250)------------------------------
% 27.85/4.84 % (1834250)------------------------------
% 27.85/4.84 % (1834229)------------------------------
% 27.85/4.84 % (1834229)------------------------------
% 27.85/4.84 % (1834256)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2769535595:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 27.85/4.84 % (1834256)Refutation not found, incomplete strategy
% 27.85/4.84 % (1834256)------------------------------
% 27.85/4.84 % (1834256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.85/4.84 % (1834256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.85/4.84 % (1834256)CaDiCaL version: 2.1.3
% 27.85/4.84 % (1834256)Termination reason: Refutation not found, incomplete strategy
% 27.85/4.84 % (1834256)Time elapsed: 0.001 s
% 27.85/4.84 % (1834256)Peak memory usage: 89 MB
% 27.85/4.84 % (1834258)lrs+10_1_sil=8000:sp=occurrence:random_seed=2273405230:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 27.85/4.84 % (1834255)------------------------------
% 27.85/4.84 % (1834255)------------------------------
% 27.85/4.84 % (1834259)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2574250045:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 27.85/4.84 % (1834259)Refutation not found, incomplete strategy
% 27.85/4.84 % (1834259)------------------------------
% 27.85/4.84 % (1834259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.85/4.84 % (1834259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.85/4.84 % (1834259)CaDiCaL version: 2.1.3
% 27.85/4.84 % (1834259)Termination reason: Refutation not found, incomplete strategy
% 27.85/4.84 % (1834259)Time elapsed: 0.001 s
% 27.85/4.84 % (1834259)Peak memory usage: 88 MB
% 27.85/4.84 % (1834256)------------------------------
% 27.85/4.84 % (1834256)------------------------------
% 27.85/4.84 % (1834262)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=674391910:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 27.85/4.84 % (1834264)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3510008338:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 27.85/4.84 % (1834264)Refutation not found, incomplete strategy
% 27.85/4.84 % (1834264)------------------------------
% 27.85/4.84 % (1834264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.85/4.84 % (1834264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.85/4.84 % (1834264)CaDiCaL version: 2.1.3
% 27.85/4.84 % (1834264)Termination reason: Refutation not found, incomplete strategy
% 27.85/4.84 % (1834264)Time elapsed: 0.001 s
% 27.85/4.84 % (1834264)Peak memory usage: 88 MB
% 27.85/4.84 % (1834259)------------------------------
% 27.85/4.84 % (1834259)------------------------------
% 27.85/4.84 % (1834264)------------------------------
% 27.85/4.84 % (1834264)------------------------------
% 27.85/4.84 % (1834267)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=839786204:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 27.85/4.84 % (1834268)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1633759022:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 27.85/4.84 % (1834258)Instruction limit reached!
% 27.85/4.84 % (1834258)------------------------------
% 27.85/4.84 % (1834258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.85/4.84 % (1834258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.85/4.84 % (1834258)CaDiCaL version: 2.1.3
% 27.85/4.84 % (1834258)Termination reason: Instruction limit
% 27.85/4.84 % (1834258)Termination phase: Saturation
% 41.24/7.23 % (1834258)Time elapsed: 0.570 s
% 41.24/7.23 % (1834258)Peak memory usage: 100 MB
% 41.24/7.23 % (1834258)Instructions burned: 908 (million)
% 41.24/7.23 % (1834249)Instruction limit reached!
% 41.24/7.23 % (1834249)------------------------------
% 41.24/7.23 % (1834249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.24/7.23 % (1834249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.24/7.23 % (1834249)CaDiCaL version: 2.1.3
% 41.24/7.23 % (1834249)Termination reason: Instruction limit
% 41.24/7.23 % (1834249)Termination phase: Saturation
% 41.24/7.23 % (1834249)Time elapsed: 1.247 s
% 41.24/7.23 % (1834249)Peak memory usage: 142 MB
% 41.24/7.23 % (1834249)Instructions burned: 2351 (million)
% 41.24/7.23 % (1834271)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=4237373173:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 41.24/7.23 % (1834267)Instruction limit reached!
% 41.24/7.23 % (1834267)------------------------------
% 41.24/7.23 % (1834267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.24/7.23 % (1834267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.24/7.23 % (1834267)CaDiCaL version: 2.1.3
% 41.24/7.23 % (1834267)Termination reason: Instruction limit
% 41.24/7.23 % (1834267)Termination phase: Saturation
% 41.24/7.23 % (1834267)Time elapsed: 0.318 s
% 41.24/7.23 % (1834267)Peak memory usage: 93 MB
% 41.24/7.23 % (1834267)Instructions burned: 593 (million)
% 41.24/7.23 % (1834271)Instruction limit reached!
% 41.24/7.23 % (1834271)------------------------------
% 41.24/7.23 % (1834271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.24/7.23 % (1834271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.24/7.23 % (1834271)CaDiCaL version: 2.1.3
% 41.24/7.23 % (1834271)Termination reason: Instruction limit
% 41.24/7.23 % (1834271)Termination phase: Saturation
% 41.24/7.23 % (1834271)Time elapsed: 0.081 s
% 41.24/7.23 % (1834271)Peak memory usage: 90 MB
% 41.24/7.23 % (1834271)Instructions burned: 126 (million)
% 41.24/7.23 % (1834272)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2487656746:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 41.24/7.23 % (1834272)Instruction limit reached!
% 41.24/7.23 % (1834272)------------------------------
% 41.24/7.23 % (1834272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.24/7.23 % (1834272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.24/7.23 % (1834272)CaDiCaL version: 2.1.3
% 41.24/7.23 % (1834272)Termination reason: Instruction limit
% 41.24/7.23 % (1834272)Termination phase: Saturation
% 41.24/7.23 % (1834272)Time elapsed: 0.045 s
% 41.24/7.23 % (1834272)Peak memory usage: 90 MB
% 41.24/7.23 % (1834272)Instructions burned: 136 (million)
% 41.24/7.23 % (1834274)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4239032375:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 41.24/7.23 % (1834274)Refutation not found, incomplete strategy
% 41.24/7.23 % (1834274)------------------------------
% 41.24/7.23 % (1834274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.24/7.23 % (1834274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.24/7.23 % (1834274)CaDiCaL version: 2.1.3
% 41.24/7.23 % (1834274)Termination reason: Refutation not found, incomplete strategy
% 41.24/7.23 % (1834274)Time elapsed: 0.001 s
% 41.24/7.23 % (1834274)Peak memory usage: 88 MB
% 41.24/7.23 % (1834275)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=198142064:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 41.24/7.23 % (1834275)Refutation not found, incomplete strategy
% 41.24/7.23 % (1834275)------------------------------
% 41.24/7.23 % (1834275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.24/7.23 % (1834275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.24/7.23 % (1834275)CaDiCaL version: 2.1.3
% 41.24/7.23 % (1834275)Termination reason: Refutation not found, incomplete strategy
% 41.24/7.23 % (1834275)Time elapsed: 0.001 s
% 41.24/7.23 % (1834275)Peak memory usage: 88 MB
% 41.24/7.23 % (1834277)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1353910645:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 41.24/7.23 % (1834274)------------------------------
% 41.24/7.23 % (1834274)------------------------------
% 41.24/7.23 % (1834275)------------------------------
% 41.24/7.23 % (1834275)------------------------------
% 41.24/7.23 % (1834281)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=418692140:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 41.24/7.23 % (1834282)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=92655233:i=14155:bd=all_2976 on theBenchmark for (2976ds/14155Mi)
% 41.24/7.23 % (1834281)Instruction limit reached!
% 41.24/7.23 % (1834281)------------------------------
% 41.24/7.23 % (1834281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.24/7.23 % (1834281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.24/7.23 % (1834281)CaDiCaL version: 2.1.3
% 41.24/7.23 % (1834281)Termination reason: Instruction limit
% 41.24/7.23 % (1834281)Termination phase: Saturation
% 41.24/7.23 % (1834281)Time elapsed: 0.095 s
% 41.24/7.23 % (1834281)Peak memory usage: 91 MB
% 41.24/7.23 % (1834281)Instructions burned: 150 (million)
% 41.24/7.23 % (1834285)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=876957454:i=667:av=off:fsr=off_2974 on theBenchmark for (2974ds/667Mi)
% 41.24/7.23 % (1834285)Refutation not found, incomplete strategy
% 41.24/7.23 % (1834285)------------------------------
% 41.24/7.23 % (1834285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.24/7.23 % (1834285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.24/7.23 % (1834285)CaDiCaL version: 2.1.3
% 41.24/7.23 % (1834285)Termination reason: Refutation not found, incomplete strategy
% 41.24/7.23 % (1834285)Time elapsed: 0.001 s
% 41.24/7.23 % (1834285)Peak memory usage: 88 MB
% 41.24/7.23 % (1834285)------------------------------
% 41.24/7.23 % (1834285)------------------------------
% 41.24/7.23 % (1834287)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1859144351:s2a=on:i=185:s2at=1.8:fdi=4_2970 on theBenchmark for (2970ds/185Mi)
% 41.24/7.23 % (1834287)Instruction limit reached!
% 41.24/7.23 % (1834287)------------------------------
% 41.24/7.23 % (1834287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.24/7.23 % (1834287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.24/7.23 % (1834287)CaDiCaL version: 2.1.3
% 41.24/7.23 % (1834287)Termination reason: Instruction limit
% 41.24/7.23 % (1834287)Termination phase: Saturation
% 41.24/7.23 % (1834287)Time elapsed: 0.100 s
% 41.24/7.23 % (1834287)Peak memory usage: 91 MB
% 41.24/7.23 % (1834287)Instructions burned: 186 (million)
% 41.24/7.23 % (1834289)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2466093757:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2967 on theBenchmark for (2967ds/193Mi)
% 41.24/7.23 % (1834289)Instruction limit reached!
% 41.24/7.23 % (1834289)------------------------------
% 41.24/7.23 % (1834289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.24/7.23 % (1834289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.24/7.23 % (1834289)CaDiCaL version: 2.1.3
% 41.24/7.23 % (1834289)Termination reason: Instruction limit
% 41.24/7.23 % (1834289)Termination phase: Saturation
% 41.24/7.23 % (1834289)Time elapsed: 0.110 s
% 41.24/7.23 % (1834289)Peak memory usage: 91 MB
% 41.24/7.23 % (1834289)Instructions burned: 193 (million)
% 41.24/7.23 % (1834291)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=4018957331:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2964 on theBenchmark for (2964ds/4850Mi)
% 41.24/7.23 % (1834291)Refutation not found, incomplete strategy
% 41.24/7.23 % (1834291)------------------------------
% 41.24/7.23 % (1834291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.24/7.23 % (1834291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.24/7.23 % (1834291)CaDiCaL version: 2.1.3
% 41.24/7.23 % (1834291)Termination reason: Refutation not found, incomplete strategy
% 41.24/7.23 % (1834291)Time elapsed: 0.001 s
% 41.24/7.23 % (1834291)Peak memory usage: 87 MB
% 41.24/7.23 % (1834291)------------------------------
% 41.24/7.23 % (1834291)------------------------------
% 41.24/7.23 % (1834293)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1482527097:i=12111:sd=1:ss=included_2960 on theBenchmark for (2960ds/12111Mi)
% 41.24/7.23 % (1834277)Instruction limit reached!
% 41.24/7.23 % (1834277)------------------------------
% 41.24/7.23 % (1834277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.24/7.23 % (1834277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.24/7.23 % (1834277)CaDiCaL version: 2.1.3
% 41.24/7.23 % (1834277)Termination reason: Instruction limit
% 41.24/7.23 % (1834277)Termination phase: Saturation
% 41.24/7.23 % (1834277)Time elapsed: 2.063 s
% 41.24/7.23 % (1834277)Peak memory usage: 191 MB
% 41.24/7.23 % (1834277)Instructions burned: 6063 (million)
% 41.24/7.23 % (1834295)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=732928953:i=319:kws=precedence:fsr=off_2957 on theBenchmark for (2957ds/319Mi)
% 41.24/7.23 % (1834295)Instruction limit reached!
% 41.24/7.23 % (1834295)------------------------------
% 41.24/7.23 % (1834295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.24/7.23 % (1834295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.24/7.23 % (1834295)CaDiCaL version: 2.1.3
% 41.24/7.23 % (1834295)Termination reason: Instruction limit
% 41.24/7.23 % (1834295)Termination phase: Saturation
% 41.24/7.23 % (1834295)Time elapsed: 0.111 s
% 41.24/7.23 % (1834295)Peak memory usage: 94 MB
% 41.24/7.23 % (1834295)Instructions burned: 319 (million)
% 41.24/7.23 % (1834262)Instruction limit reached!
% 41.24/7.23 % (1834262)------------------------------
% 41.24/7.23 % (1834262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.24/7.23 % (1834262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.24/7.23 % (1834262)CaDiCaL version: 2.1.3
% 41.24/7.23 % (1834262)Termination reason: Instruction limit
% 41.24/7.23 % (1834262)Termination phase: Saturation
% 41.24/7.23 % (1834262)Time elapsed: 3.206 s
% 41.24/7.23 % (1834262)Peak memory usage: 171 MB
% 41.24/7.23 % (1834262)Instructions burned: 5203 (million)
% 41.24/7.23 % (1834297)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2606917882:i=2064:ep=RST_2955 on theBenchmark for (2955ds/2064Mi)
% 41.24/7.23 % (1834298)dis-1011_128_sil=32000:random_seed=1031473958:i=3706:ep=RST:av=off_2954 on theBenchmark for (2954ds/3706Mi)
% 41.24/7.23 % (1834297)Instruction limit reached!
% 41.24/7.23 % (1834297)------------------------------
% 41.24/7.23 % (1834297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.24/7.23 % (1834297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.24/7.23 % (1834297)CaDiCaL version: 2.1.3
% 41.24/7.23 % (1834297)Termination reason: Instruction limit
% 41.24/7.23 % (1834297)Termination phase: Saturation
% 41.24/7.23 % (1834297)Time elapsed: 0.547 s
% 41.24/7.23 % (1834297)Peak memory usage: 101 MB
% 41.24/7.23 % (1834297)Instructions burned: 2067 (million)
% 41.24/7.23 % (1834301)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1736866982:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2948 on theBenchmark for (2948ds/757Mi)
% 41.24/7.23 % (1834301)Refutation not found, incomplete strategy
% 41.24/7.23 % (1834301)------------------------------
% 41.24/7.23 % (1834301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.24/7.23 % (1834301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.24/7.23 % (1834301)CaDiCaL version: 2.1.3
% 41.24/7.23 % (1834301)Termination reason: Refutation not found, incomplete strategy
% 41.24/7.23 % (1834301)Time elapsed: 0.001 s
% 41.24/7.23 % (1834301)Peak memory usage: 88 MB
% 41.24/7.23 % (1834301)------------------------------
% 41.24/7.23 % (1834301)------------------------------
% 41.24/7.23 % (1834303)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=568765911:i=13913:ss=axioms:sgt=8_2945 on theBenchmark for (2945ds/13913Mi)
% 41.24/7.23 % (1834282)First to succeed.
% 41.24/7.23 % (1834282)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1834222"
% 41.24/7.23 % (1834282)Refutation found. Thanks to Tanya!
% 41.24/7.23 % SZS status Theorem for theBenchmark
% 41.24/7.23 % SZS output start Proof for theBenchmark
% See solution above
% 45.58/7.45 % (1834282)------------------------------
% 45.58/7.45 % (1834282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.58/7.45 % (1834282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.58/7.45 % (1834282)CaDiCaL version: 2.1.3
% 45.58/7.45 % (1834282)Termination reason: Refutation
% 45.58/7.45 % (1834282)Time elapsed: 3.538 s
% 45.58/7.45 % (1834282)Peak memory usage: 173 MB
% 45.58/7.45 % (1834282)Instructions burned: 5629 (million)
% 45.58/7.45 % (1834282)------------------------------
% 45.58/7.45 % (1834282)------------------------------
% 45.58/7.45 % (1834222)Success in time 6.363 s
% 45.58/7.45 % Vampire exiting
%------------------------------------------------------------------------------