%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP685+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 : n012.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 10:15:36 AM UTC 2026
% Result : Theorem 10.19s 2.19s
% Output : Refutation 10.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 10
% Syntax : Number of formulae : 303 ( 281 unt; 2 def)
% Number of atoms : 325 ( 298 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 44 ( 22 ~; 18 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 762 ( 0 sgn 759 !; 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] :
( rd(mult(X0,ld(X1,X2)),ld(X1,X2)) = rd(mult(X0,X2),X2)
& rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = rd(mult(X0,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f9,negated_conjecture,
~ ! [X0,X1,X2] :
( rd(mult(X0,ld(X1,X2)),ld(X1,X2)) = rd(mult(X0,X2),X2)
& rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = rd(mult(X0,X2),X2) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
? [X0,X1,X2] :
( rd(mult(X0,ld(X1,X2)),ld(X1,X2)) != rd(mult(X0,X2),X2)
| rd(mult(X0,X2),X2) != rd(mult(X0,rd(X1,X2)),rd(X1,X2)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f11,plain,
( rd(mult(sK0,ld(sK1,sK2)),ld(sK1,sK2)) != rd(mult(sK0,sK2),sK2)
| rd(mult(sK0,sK2),sK2) != rd(mult(sK0,rd(sK1,sK2)),rd(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,
( rd(mult(sK0,ld(sK1,sK2)),ld(sK1,sK2)) != rd(mult(sK0,sK2),sK2)
| rd(mult(sK0,sK2),sK2) != rd(mult(sK0,rd(sK1,sK2)),rd(sK1,sK2)) ),
inference(cnf_transformation,[],[f11]) ).
fof(f21,definition,
( spl3_1
<=> rd(mult(sK0,sK2),sK2) = rd(mult(sK0,rd(sK1,sK2)),rd(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f22,plain,
( rd(mult(sK0,sK2),sK2) != rd(mult(sK0,rd(sK1,sK2)),rd(sK1,sK2))
| spl3_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f24,definition,
( spl3_2
<=> rd(mult(sK0,ld(sK1,sK2)),ld(sK1,sK2)) = rd(mult(sK0,sK2),sK2) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f25,plain,
( rd(mult(sK0,ld(sK1,sK2)),ld(sK1,sK2)) != rd(mult(sK0,sK2),sK2)
| spl3_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f26,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f19,f24,f21]) ).
fof(f27,plain,
! [X0] : mult(rd(X0,X0),X0) = X0,
inference(forward_demodulation,[],[f13,f15]) ).
fof(f28,plain,
! [X0] : mult(X0,ld(X0,X0)) = X0,
inference(forward_demodulation,[],[f12,f14]) ).
fof(f29,plain,
( rd(mult(sK0,sK2),sK2) != mult(rd(sK0,rd(sK1,sK2)),rd(sK1,sK2))
| spl3_1 ),
inference(forward_demodulation,[],[f22,f15]) ).
fof(f30,plain,
( mult(rd(sK0,rd(sK1,sK2)),rd(sK1,sK2)) != mult(rd(sK0,sK2),sK2)
| spl3_1 ),
inference(forward_demodulation,[],[f29,f15]) ).
fof(f35,plain,
! [X2,X0,X1] : mult(ld(X1,mult(X1,rd(X0,X0))),X0) = ld(ld(X1,X2),mult(ld(X1,X2),X0)),
inference(superposition,[],[f16,f27]) ).
fof(f36,plain,
! [X2,X0,X1] : mult(ld(X1,mult(X1,rd(X0,X0))),X0) = mult(ld(X1,X2),ld(ld(X1,X2),X0)),
inference(forward_demodulation,[],[f35,f14]) ).
fof(f37,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,[],[f36,f14]) ).
fof(f38,plain,
! [X2,X0,X1] : ld(ld(X1,X2),mult(ld(X1,X2),X0)) = mult(ld(X1,mult(X1,X0)),ld(X0,X0)),
inference(superposition,[],[f16,f28]) ).
fof(f39,plain,
! [X2,X0,X1] : ld(ld(X1,X2),mult(ld(X1,X2),X0)) = mult(mult(X1,ld(X1,X0)),ld(X0,X0)),
inference(forward_demodulation,[],[f38,f14]) ).
fof(f40,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,[],[f39,f14]) ).
fof(f43,plain,
! [X0,X1] : mult(X0,ld(X0,X0)) = mult(ld(X0,X1),ld(ld(X0,X1),X0)),
inference(superposition,[],[f40,f28]) ).
fof(f45,plain,
! [X2,X3,X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),X2)) = mult(ld(X0,X3),ld(ld(X0,X3),X2)),
inference(superposition,[],[f40,f40]) ).
fof(f50,plain,
! [X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),X0)) = X0,
inference(forward_demodulation,[],[f43,f28]) ).
fof(f55,plain,
! [X0] : rd(X0,ld(X0,X0)) = mult(rd(X0,ld(X0,X0)),ld(X0,X0)),
inference(superposition,[],[f15,f28]) ).
fof(f58,plain,
! [X0] : rd(X0,X0) = mult(rd(rd(X0,X0),X0),X0),
inference(superposition,[],[f15,f27]) ).
fof(f59,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,rd(mult(ld(X0,X0),X2),X2)),
inference(superposition,[],[f17,f28]) ).
fof(f62,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,f27]) ).
fof(f63,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(f64,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(f66,plain,
! [X2,X3,X0,X1] : mult(X0,rd(mult(X1,X2),X2)) = mult(rd(mult(X0,X1),rd(X3,X2)),rd(X3,X2)),
inference(superposition,[],[f15,f17]) ).
fof(f67,plain,
! [X2,X3,X0,X1] : mult(rd(mult(X0,X1),rd(X3,X2)),rd(X3,X2)) = mult(X0,mult(rd(X1,X2),X2)),
inference(forward_demodulation,[],[f66,f15]) ).
fof(f69,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,[],[f64,f15]) ).
fof(f70,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,[],[f63,f15]) ).
fof(f71,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,[],[f62,f15]) ).
fof(f74,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(rd(ld(X0,X0),X2),X2)),
inference(forward_demodulation,[],[f59,f15]) ).
fof(f75,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,[],[f69,f15]) ).
fof(f76,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,[],[f70,f15]) ).
fof(f77,plain,
! [X2,X0,X1] : mult(rd(X0,X0),mult(rd(X0,X2),X2)) = mult(rd(X0,rd(X1,X2)),rd(X1,X2)),
inference(forward_demodulation,[],[f71,f15]) ).
fof(f80,plain,
! [X2,X0,X1] : mult(X0,mult(rd(ld(X0,X0),X2),X2)) = mult(rd(X0,rd(X1,X2)),rd(X1,X2)),
inference(forward_demodulation,[],[f74,f15]) ).
fof(f81,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,[],[f75,f15]) ).
fof(f110,plain,
! [X2,X0,X1] : mult(rd(mult(X0,X1),rd(X2,X1)),rd(X2,X1)) = mult(rd(mult(X0,X1),mult(X0,X1)),mult(mult(rd(X0,X1),X1),X1)),
inference(superposition,[],[f77,f15]) ).
fof(f116,plain,
! [X2,X0,X1] : mult(rd(X2,mult(rd(X0,X1),X1)),mult(rd(X0,X1),X1)) = mult(rd(X2,X2),mult(rd(X2,X1),X1)),
inference(superposition,[],[f77,f15]) ).
fof(f123,plain,
! [X0,X1] : mult(X0,mult(rd(ld(X0,X0),X1),X1)) = mult(rd(X0,X0),mult(rd(X0,X1),X1)),
inference(superposition,[],[f80,f77]) ).
fof(f137,plain,
! [X0,X1] : mult(rd(mult(X0,X1),mult(X0,X1)),mult(mult(rd(X0,X1),X1),X1)) = mult(X0,mult(rd(X1,X1),X1)),
inference(forward_demodulation,[],[f110,f67]) ).
fof(f144,plain,
! [X0,X1] : mult(X0,X1) = mult(rd(mult(X0,X1),mult(X0,X1)),mult(mult(rd(X0,X1),X1),X1)),
inference(forward_demodulation,[],[f137,f27]) ).
fof(f153,plain,
! [X0] : ld(rd(X0,X0),X0) = mult(rd(X0,X0),ld(rd(X0,X0),X0)),
inference(superposition,[],[f14,f27]) ).
fof(f160,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(f161,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(f162,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,[],[f161,f14]) ).
fof(f163,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,[],[f160,f14]) ).
fof(f166,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,[],[f163,f14]) ).
fof(f178,plain,
! [X0] : ld(X0,X0) = rd(mult(rd(X0,X0),X0),X0),
inference(superposition,[],[f18,f28]) ).
fof(f183,plain,
! [X0,X1] : rd(mult(rd(X0,X0),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
inference(superposition,[],[f14,f18]) ).
fof(f184,plain,
! [X2,X0,X1] : mult(ld(X0,X2),ld(ld(X0,X2),mult(X0,ld(X1,X1)))) = mult(mult(X0,rd(mult(rd(X0,X0),X1),X1)),ld(mult(X0,ld(X1,X1)),mult(X0,ld(X1,X1)))),
inference(superposition,[],[f40,f18]) ).
fof(f189,plain,
! [X2,X0,X1] : mult(ld(X0,X2),ld(ld(X0,X2),mult(X0,ld(X1,X1)))) = mult(mult(X0,mult(rd(rd(X0,X0),X1),X1)),ld(mult(X0,ld(X1,X1)),mult(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f184,f15]) ).
fof(f190,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(rd(rd(X0,X0),X1),X1),
inference(forward_demodulation,[],[f183,f15]) ).
fof(f195,plain,
! [X0] : ld(X0,X0) = mult(rd(rd(X0,X0),X0),X0),
inference(forward_demodulation,[],[f178,f15]) ).
fof(f197,plain,
! [X0,X1] : mult(mult(X0,mult(rd(rd(X0,X0),X1),X1)),ld(mult(X0,ld(X1,X1)),mult(X0,ld(X1,X1)))) = mult(mult(X0,ld(X0,X0)),ld(X1,X1)),
inference(forward_demodulation,[],[f189,f162]) ).
fof(f201,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(forward_demodulation,[],[f195,f58]) ).
fof(f203,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = mult(mult(X0,mult(rd(rd(X0,X0),X1),X1)),ld(mult(X0,ld(X1,X1)),mult(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f197,f28]) ).
fof(f205,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = mult(mult(X0,mult(rd(rd(X0,X0),X1),X1)),rd(mult(X0,ld(X1,X1)),mult(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f203,f201]) ).
fof(f206,plain,
! [X0,X1] : mult(X0,rd(X1,X1)) = mult(mult(X0,mult(rd(rd(X0,X0),X1),X1)),rd(mult(X0,rd(X1,X1)),mult(X0,rd(X1,X1)))),
inference(forward_demodulation,[],[f205,f201]) ).
fof(f207,plain,
! [X0,X1] : mult(X0,rd(X1,X1)) = mult(mult(X0,mult(X0,ld(X0,ld(X1,X1)))),rd(mult(X0,rd(X1,X1)),mult(X0,rd(X1,X1)))),
inference(forward_demodulation,[],[f206,f190]) ).
fof(f208,plain,
! [X0,X1] : mult(X0,rd(X1,X1)) = mult(mult(X0,mult(X0,ld(X0,rd(X1,X1)))),rd(mult(X0,rd(X1,X1)),mult(X0,rd(X1,X1)))),
inference(forward_demodulation,[],[f207,f201]) ).
fof(f211,plain,
! [X2,X0,X1] : mult(ld(X0,mult(X0,X1)),X2) = ld(rd(X0,X0),mult(rd(X0,X0),mult(X1,X2))),
inference(superposition,[],[f16,f201]) ).
fof(f213,plain,
! [X0] : rd(X0,rd(X0,X0)) = mult(rd(X0,rd(X0,X0)),rd(X0,X0)),
inference(superposition,[],[f55,f201]) ).
fof(f215,plain,
! [X2,X0,X1] : mult(ld(X1,X2),ld(ld(X1,X2),X0)) = mult(mult(X1,ld(X1,X0)),rd(X0,X0)),
inference(superposition,[],[f40,f201]) ).
fof(f216,plain,
! [X0] : mult(X0,rd(X0,X0)) = X0,
inference(superposition,[],[f28,f201]) ).
fof(f219,plain,
! [X0] : mult(rd(X0,X0),mult(rd(X0,X0),X0)) = rd(X0,rd(X0,X0)),
inference(forward_demodulation,[],[f213,f77]) ).
fof(f221,plain,
! [X2,X0,X1] : mult(ld(X0,mult(X0,X1)),X2) = mult(rd(X0,X0),ld(rd(X0,X0),mult(X1,X2))),
inference(forward_demodulation,[],[f211,f14]) ).
fof(f225,plain,
! [X0] : rd(X0,rd(X0,X0)) = mult(X0,mult(rd(ld(X0,X0),X0),X0)),
inference(forward_demodulation,[],[f219,f123]) ).
fof(f227,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = mult(rd(X0,X0),ld(rd(X0,X0),mult(X1,X2))),
inference(forward_demodulation,[],[f221,f14]) ).
fof(f229,plain,
! [X0] : rd(X0,rd(X0,X0)) = mult(X0,mult(rd(rd(X0,X0),X0),X0)),
inference(forward_demodulation,[],[f225,f201]) ).
fof(f230,plain,
! [X0] : mult(X0,rd(X0,X0)) = rd(X0,rd(X0,X0)),
inference(forward_demodulation,[],[f229,f58]) ).
fof(f231,plain,
! [X0] : rd(X0,rd(X0,X0)) = X0,
inference(forward_demodulation,[],[f230,f216]) ).
fof(f237,plain,
! [X2,X0,X1] : mult(X1,rd(mult(X2,rd(X0,X0)),rd(X0,X0))) = rd(mult(mult(X1,X2),X0),X0),
inference(superposition,[],[f17,f231]) ).
fof(f240,plain,
! [X2,X0,X1] : mult(X1,rd(mult(X2,rd(X0,X0)),rd(X0,X0))) = mult(rd(mult(X1,X2),X0),X0),
inference(forward_demodulation,[],[f237,f15]) ).
fof(f247,plain,
! [X2,X0,X1] : mult(rd(mult(X1,X2),X0),X0) = mult(X1,mult(rd(X2,rd(X0,X0)),rd(X0,X0))),
inference(forward_demodulation,[],[f240,f15]) ).
fof(f304,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,rd(X0,X0)),rd(X0,X0))) = mult(rd(mult(X1,X2),mult(X0,rd(X0,X0))),mult(X0,rd(X0,X0))),
inference(superposition,[],[f76,f231]) ).
fof(f305,plain,
! [X2,X0,X1] : mult(rd(mult(X1,X2),X0),X0) = mult(X1,mult(rd(X2,X0),X0)),
inference(superposition,[],[f76,f27]) ).
fof(f320,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,rd(X0,X0)),rd(X0,X0))) = mult(X1,mult(rd(X2,mult(X0,rd(X0,X0))),mult(X0,rd(X0,X0)))),
inference(forward_demodulation,[],[f304,f305]) ).
fof(f335,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,rd(X0,X0)),rd(X0,X0))) = mult(X1,mult(rd(X2,X0),X0)),
inference(forward_demodulation,[],[f320,f216]) ).
fof(f810,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(superposition,[],[f166,f28]) ).
fof(f829,plain,
! [X2,X3,X0,X1,X4] : mult(mult(X2,ld(X2,ld(X0,X3))),ld(ld(X0,X3),X1)) = mult(mult(X2,ld(X2,X4)),ld(mult(X2,ld(X2,X4)),mult(mult(X0,ld(X0,X1)),ld(X1,X1)))),
inference(superposition,[],[f166,f40]) ).
fof(f834,plain,
! [X2,X0,X1] : mult(mult(X1,ld(X1,rd(X0,ld(X0,X0)))),ld(X0,X0)) = mult(mult(X1,ld(X1,X2)),ld(mult(X1,ld(X1,X2)),rd(X0,ld(X0,X0)))),
inference(superposition,[],[f166,f55]) ).
fof(f840,plain,
! [X2,X0,X1] : mult(mult(X1,ld(X1,rd(rd(X0,X0),X0))),X0) = mult(mult(X1,ld(X1,X2)),ld(mult(X1,ld(X1,X2)),rd(X0,X0))),
inference(superposition,[],[f166,f58]) ).
fof(f870,plain,
! [X2,X0,X1] : mult(mult(X1,ld(X1,rd(X0,rd(X0,X0)))),rd(X0,X0)) = mult(mult(X1,ld(X1,X2)),ld(mult(X1,ld(X1,X2)),rd(X0,rd(X0,X0)))),
inference(forward_demodulation,[],[f834,f201]) ).
fof(f874,plain,
! [X2,X3,X0,X1] : mult(mult(X2,ld(X2,ld(X0,X3))),ld(ld(X0,X3),X1)) = mult(mult(X2,ld(X2,mult(X0,ld(X0,X1)))),ld(X1,X1)),
inference(forward_demodulation,[],[f829,f166]) ).
fof(f901,plain,
! [X2,X0,X1] : mult(mult(X1,ld(X1,rd(X0,rd(X0,X0)))),rd(X0,X0)) = mult(X1,ld(X1,mult(X2,ld(mult(X1,ld(X1,X2)),rd(X0,rd(X0,X0)))))),
inference(forward_demodulation,[],[f870,f810]) ).
fof(f903,plain,
! [X2,X3,X0,X1] : mult(mult(X2,ld(X2,ld(X0,X3))),ld(ld(X0,X3),X1)) = mult(X2,ld(X2,mult(mult(X0,ld(X0,X1)),ld(X1,X1)))),
inference(forward_demodulation,[],[f874,f810]) ).
fof(f923,plain,
! [X2,X0,X1] : mult(mult(X1,ld(X1,X0)),rd(X0,X0)) = mult(X1,ld(X1,mult(X2,ld(mult(X1,ld(X1,X2)),X0)))),
inference(forward_demodulation,[],[f901,f231]) ).
fof(f925,plain,
! [X2,X3,X0,X1] : mult(mult(X2,ld(X2,ld(X0,X3))),ld(ld(X0,X3),X1)) = mult(X2,ld(X2,mult(X0,ld(X0,mult(X1,ld(X1,X1)))))),
inference(forward_demodulation,[],[f903,f810]) ).
fof(f940,plain,
! [X2,X0,X1] : mult(X1,ld(X1,mult(X2,ld(mult(X1,ld(X1,X2)),X0)))) = mult(X1,ld(X1,mult(X0,rd(X0,X0)))),
inference(forward_demodulation,[],[f923,f810]) ).
fof(f942,plain,
! [X2,X3,X0,X1] : mult(mult(X2,ld(X2,ld(X0,X3))),ld(ld(X0,X3),X1)) = mult(X2,ld(X2,mult(X0,ld(X0,X1)))),
inference(forward_demodulation,[],[f925,f28]) ).
fof(f955,plain,
! [X2,X0,X1] : mult(X1,ld(X1,X0)) = mult(X1,ld(X1,mult(X2,ld(mult(X1,ld(X1,X2)),X0)))),
inference(forward_demodulation,[],[f940,f216]) ).
fof(f957,plain,
! [X2,X3,X0,X1] : mult(X2,ld(X2,mult(X0,ld(X0,X1)))) = mult(X2,ld(X2,mult(ld(X0,X3),ld(ld(X0,X3),X1)))),
inference(forward_demodulation,[],[f942,f810]) ).
fof(f976,plain,
! [X2,X3,X0,X1] : ld(X0,X3) = mult(mult(ld(X0,mult(X0,X1)),X2),ld(mult(ld(X0,mult(X0,X1)),X2),ld(X0,X3))),
inference(superposition,[],[f50,f16]) ).
fof(f999,plain,
! [X2,X3,X0,X1] : mult(ld(X1,X2),ld(ld(X1,X2),X0)) = mult(mult(X1,ld(X1,ld(X0,X3))),ld(ld(X0,X3),X0)),
inference(superposition,[],[f162,f50]) ).
fof(f1002,plain,
! [X2,X3,X0,X1] : mult(ld(X1,X2),ld(ld(X1,X2),X0)) = mult(X1,ld(X1,mult(ld(X0,X3),ld(ld(X0,X3),X0)))),
inference(forward_demodulation,[],[f999,f810]) ).
fof(f1016,plain,
! [X2,X3,X0,X1] : ld(X0,X3) = mult(mult(mult(X0,ld(X0,X1)),X2),ld(mult(mult(X0,ld(X0,X1)),X2),ld(X0,X3))),
inference(forward_demodulation,[],[f976,f14]) ).
fof(f1018,plain,
! [X2,X0,X1] : mult(ld(X1,X2),ld(ld(X1,X2),X0)) = mult(X1,ld(X1,mult(X0,ld(X0,X0)))),
inference(forward_demodulation,[],[f1002,f957]) ).
fof(f1027,plain,
! [X2,X3,X0,X1] : ld(X0,X3) = mult(mult(X0,ld(X0,mult(X1,X2))),ld(mult(X0,ld(X0,mult(X1,X2))),ld(X0,X3))),
inference(forward_demodulation,[],[f1016,f810]) ).
fof(f1029,plain,
! [X2,X0,X1] : mult(X1,ld(X1,X0)) = mult(ld(X1,X2),ld(ld(X1,X2),X0)),
inference(forward_demodulation,[],[f1018,f28]) ).
fof(f1035,plain,
! [X2,X3,X0,X1] : ld(X0,X3) = mult(X0,ld(X0,mult(mult(X1,X2),ld(mult(X0,ld(X0,mult(X1,X2))),ld(X0,X3))))),
inference(forward_demodulation,[],[f1027,f810]) ).
fof(f1042,plain,
! [X3,X0] : ld(X0,X3) = mult(X0,ld(X0,ld(X0,X3))),
inference(forward_demodulation,[],[f1035,f955]) ).
fof(f1090,plain,
! [X0,X1] : mult(rd(X1,X1),mult(rd(X1,rd(X0,X0)),rd(X0,X0))) = mult(rd(X1,mult(X0,rd(X0,X0))),mult(X0,rd(X0,X0))),
inference(superposition,[],[f116,f231]) ).
fof(f1091,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = mult(rd(X1,X1),mult(rd(X1,X0),X0)),
inference(superposition,[],[f116,f27]) ).
fof(f1167,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = mult(rd(X1,X1),mult(rd(X1,rd(X0,X0)),rd(X0,X0))),
inference(forward_demodulation,[],[f1090,f216]) ).
fof(f1196,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = mult(X1,mult(rd(ld(X1,X1),rd(X0,X0)),rd(X0,X0))),
inference(forward_demodulation,[],[f1167,f123]) ).
fof(f1222,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = mult(rd(mult(X1,ld(X1,X1)),X0),X0),
inference(forward_demodulation,[],[f1196,f247]) ).
fof(f1241,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = mult(X1,mult(rd(ld(X1,X1),X0),X0)),
inference(forward_demodulation,[],[f1222,f305]) ).
fof(f1253,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = mult(X1,mult(rd(rd(X1,X1),X0),X0)),
inference(forward_demodulation,[],[f1241,f201]) ).
fof(f1263,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = mult(X1,mult(X1,ld(X1,ld(X0,X0)))),
inference(forward_demodulation,[],[f1253,f190]) ).
fof(f1271,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = mult(X1,mult(X1,ld(X1,rd(X0,X0)))),
inference(forward_demodulation,[],[f1263,f201]) ).
fof(f1277,plain,
! [X0,X1] : mult(mult(rd(X0,X1),X1),X1) = mult(rd(mult(X0,X1),mult(X0,X1)),mult(mult(rd(X0,X1),X1),X1)),
inference(superposition,[],[f1091,f15]) ).
fof(f1291,plain,
! [X2,X0,X1] : mult(rd(X0,X1),X1) = mult(rd(X0,mult(rd(X2,X1),X1)),mult(rd(X2,X1),X1)),
inference(superposition,[],[f116,f1091]) ).
fof(f1293,plain,
! [X2,X0,X1] : mult(rd(X0,X1),X1) = mult(rd(X0,rd(X2,X1)),rd(X2,X1)),
inference(superposition,[],[f77,f1091]) ).
fof(f1318,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(rd(X0,X1),X1),X1),
inference(forward_demodulation,[],[f1277,f144]) ).
fof(f1376,plain,
! [X2,X0,X1] : mult(ld(X0,X2),ld(ld(X0,X2),mult(X0,ld(X1,X1)))) = mult(mult(X0,rd(mult(rd(X0,X0),X1),X1)),rd(mult(X0,ld(X1,X1)),mult(X0,ld(X1,X1)))),
inference(superposition,[],[f215,f18]) ).
fof(f1409,plain,
! [X2,X0,X1] : ld(mult(X0,ld(X0,X2)),mult(ld(X0,X1),ld(ld(X0,X1),X2))) = mult(mult(X0,ld(X0,X2)),ld(mult(X0,ld(X0,X2)),rd(X2,X2))),
inference(superposition,[],[f14,f215]) ).
fof(f1424,plain,
! [X2,X0,X1] : ld(mult(X0,ld(X0,X2)),mult(ld(X0,X1),ld(ld(X0,X1),X2))) = mult(mult(X0,ld(X0,rd(rd(X2,X2),X2))),X2),
inference(forward_demodulation,[],[f1409,f840]) ).
fof(f1446,plain,
! [X2,X0,X1] : mult(ld(X0,X2),ld(ld(X0,X2),mult(X0,rd(X1,X1)))) = mult(mult(X0,rd(mult(rd(X0,X0),X1),X1)),rd(mult(X0,rd(X1,X1)),mult(X0,rd(X1,X1)))),
inference(forward_demodulation,[],[f1376,f201]) ).
fof(f1460,plain,
! [X2,X0,X1] : ld(mult(X0,ld(X0,X2)),mult(ld(X0,X1),ld(ld(X0,X1),X2))) = mult(X0,ld(X0,mult(rd(rd(X2,X2),X2),X2))),
inference(forward_demodulation,[],[f1424,f810]) ).
fof(f1480,plain,
! [X2,X0,X1] : mult(mult(X0,mult(rd(rd(X0,X0),X1),X1)),rd(mult(X0,rd(X1,X1)),mult(X0,rd(X1,X1)))) = mult(ld(X0,X2),ld(ld(X0,X2),mult(X0,rd(X1,X1)))),
inference(forward_demodulation,[],[f1446,f15]) ).
fof(f1493,plain,
! [X2,X0,X1] : mult(X0,ld(X0,rd(X2,X2))) = ld(mult(X0,ld(X0,X2)),mult(ld(X0,X1),ld(ld(X0,X1),X2))),
inference(forward_demodulation,[],[f1460,f58]) ).
fof(f1507,plain,
! [X0,X1] : mult(mult(X0,mult(rd(rd(X0,X0),X1),X1)),rd(mult(X0,rd(X1,X1)),mult(X0,rd(X1,X1)))) = mult(X0,ld(X0,mult(X0,rd(X1,X1)))),
inference(forward_demodulation,[],[f1480,f1029]) ).
fof(f1518,plain,
! [X2,X0] : mult(X0,ld(X0,rd(X2,X2))) = ld(mult(X0,ld(X0,X2)),mult(X0,ld(X0,X2))),
inference(forward_demodulation,[],[f1493,f1029]) ).
fof(f1530,plain,
! [X0,X1] : mult(mult(X0,mult(rd(rd(X0,X0),X1),X1)),rd(mult(X0,rd(X1,X1)),mult(X0,rd(X1,X1)))) = mult(X0,mult(X0,ld(X0,rd(X1,X1)))),
inference(forward_demodulation,[],[f1507,f14]) ).
fof(f1539,plain,
! [X2,X0] : mult(X0,ld(X0,rd(X2,X2))) = rd(mult(X0,ld(X0,X2)),mult(X0,ld(X0,X2))),
inference(forward_demodulation,[],[f1518,f201]) ).
fof(f1548,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(mult(X0,mult(rd(rd(X0,X0),X1),X1)),rd(mult(X0,rd(X1,X1)),mult(X0,rd(X1,X1)))),
inference(forward_demodulation,[],[f1530,f1271]) ).
fof(f1561,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(mult(X0,mult(X0,ld(X0,ld(X1,X1)))),rd(mult(X0,rd(X1,X1)),mult(X0,rd(X1,X1)))),
inference(forward_demodulation,[],[f1548,f190]) ).
fof(f1565,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(mult(X0,mult(X0,ld(X0,rd(X1,X1)))),rd(mult(X0,rd(X1,X1)),mult(X0,rd(X1,X1)))),
inference(forward_demodulation,[],[f1561,f201]) ).
fof(f1566,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,rd(X1,X1)),
inference(forward_demodulation,[],[f1565,f208]) ).
fof(f1579,plain,
! [X0] : rd(X0,X0) = mult(rd(X0,X0),rd(X0,X0)),
inference(superposition,[],[f58,f1566]) ).
fof(f1587,plain,
! [X2,X0,X1] : mult(rd(X0,X0),mult(rd(X0,X2),X2)) = mult(X0,rd(mult(rd(X1,X2),X2),mult(rd(X1,X2),X2))),
inference(superposition,[],[f116,f1566]) ).
fof(f1590,plain,
( mult(rd(sK0,sK2),sK2) != mult(sK0,rd(rd(sK1,sK2),rd(sK1,sK2)))
| spl3_1 ),
inference(superposition,[],[f30,f1566]) ).
fof(f1591,plain,
! [X2,X0,X1] : mult(rd(X0,X0),mult(rd(X0,X2),X2)) = mult(X0,rd(rd(X1,X2),rd(X1,X2))),
inference(superposition,[],[f77,f1566]) ).
fof(f1596,plain,
! [X0,X1] : mult(rd(rd(X0,X1),X1),X1) = rd(mult(X0,rd(X1,X1)),X1),
inference(superposition,[],[f15,f1566]) ).
fof(f1598,plain,
! [X2,X3,X0,X1] : mult(rd(X0,X1),rd(mult(X1,X3),X3)) = rd(mult(mult(X0,rd(X1,X1)),rd(X2,X3)),rd(X2,X3)),
inference(superposition,[],[f17,f1566]) ).
fof(f1609,plain,
! [X3,X0,X1] : mult(rd(X0,X1),rd(mult(X1,X3),X3)) = mult(X0,rd(mult(rd(X1,X1),X3),X3)),
inference(forward_demodulation,[],[f1598,f17]) ).
fof(f1611,plain,
! [X0,X1] : rd(mult(X0,rd(X1,X1)),X1) = mult(rd(X0,X1),rd(X1,X1)),
inference(forward_demodulation,[],[f1596,f1566]) ).
fof(f1615,plain,
! [X2,X0,X1] : mult(rd(X0,X2),X2) = mult(X0,rd(rd(X1,X2),rd(X1,X2))),
inference(forward_demodulation,[],[f1591,f1091]) ).
fof(f1616,plain,
( mult(sK0,rd(rd(sK1,sK2),rd(sK1,sK2))) != mult(sK0,rd(sK2,sK2))
| spl3_1 ),
inference(forward_demodulation,[],[f1590,f1566]) ).
fof(f1619,plain,
! [X2,X0,X1] : mult(rd(X0,X0),mult(rd(X0,X2),X2)) = mult(X0,rd(mult(X1,rd(X2,X2)),mult(X1,rd(X2,X2)))),
inference(forward_demodulation,[],[f1587,f1566]) ).
fof(f1640,plain,
! [X3,X0,X1] : mult(rd(X0,X1),rd(mult(X1,X3),X3)) = mult(X0,mult(rd(rd(X1,X1),X3),X3)),
inference(forward_demodulation,[],[f1609,f15]) ).
fof(f1644,plain,
! [X2,X0,X1] : mult(X0,rd(rd(X1,X2),rd(X1,X2))) = mult(X0,rd(X2,X2)),
inference(forward_demodulation,[],[f1615,f1566]) ).
fof(f1647,plain,
! [X2,X0,X1] : mult(rd(X0,X2),X2) = mult(X0,rd(mult(X1,rd(X2,X2)),mult(X1,rd(X2,X2)))),
inference(forward_demodulation,[],[f1619,f1091]) ).
fof(f1664,plain,
! [X3,X0,X1] : mult(rd(X0,X1),rd(mult(X1,X3),X3)) = mult(X0,mult(rd(X1,X1),rd(X3,X3))),
inference(forward_demodulation,[],[f1640,f1566]) ).
fof(f1666,plain,
! [X2,X0,X1] : mult(X0,rd(mult(X1,rd(X2,X2)),mult(X1,rd(X2,X2)))) = mult(X0,rd(X2,X2)),
inference(forward_demodulation,[],[f1647,f1566]) ).
fof(f1673,plain,
! [X3,X0,X1] : mult(rd(X0,X1),mult(rd(X1,X3),X3)) = mult(X0,mult(rd(X1,X1),rd(X3,X3))),
inference(forward_demodulation,[],[f1664,f15]) ).
fof(f1675,plain,
! [X3,X0,X1] : mult(rd(X0,X1),mult(X1,rd(X3,X3))) = mult(X0,mult(rd(X1,X1),rd(X3,X3))),
inference(forward_demodulation,[],[f1673,f1566]) ).
fof(f1677,plain,
! [X0] : rd(rd(X0,X0),rd(X0,X0)) = mult(rd(rd(X0,X0),rd(X0,X0)),rd(X0,X0)),
inference(superposition,[],[f15,f1579]) ).
fof(f1681,plain,
! [X2,X0,X1] : mult(rd(rd(X0,X0),mult(rd(X1,X2),X2)),mult(rd(X1,X2),X2)) = mult(rd(X0,X0),mult(rd(rd(X0,X0),X2),X2)),
inference(superposition,[],[f76,f1579]) ).
fof(f1686,plain,
! [X2,X0,X1] : mult(rd(rd(X0,X0),mult(rd(X1,X2),X2)),mult(rd(X1,X2),X2)) = mult(rd(X0,X0),mult(rd(X0,X0),rd(X2,X2))),
inference(forward_demodulation,[],[f1681,f1566]) ).
fof(f1690,plain,
! [X0] : rd(X0,X0) = rd(rd(X0,X0),rd(X0,X0)),
inference(forward_demodulation,[],[f1677,f27]) ).
fof(f1694,plain,
! [X2,X0] : mult(rd(rd(X0,X0),X2),X2) = mult(rd(X0,X0),mult(rd(X0,X0),rd(X2,X2))),
inference(forward_demodulation,[],[f1686,f1291]) ).
fof(f1700,plain,
! [X2,X0] : mult(rd(X0,X0),rd(X2,X2)) = mult(rd(X0,X0),mult(rd(X0,X0),rd(X2,X2))),
inference(forward_demodulation,[],[f1694,f1566]) ).
fof(f1723,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,rd(X0,X0)),rd(X0,X0))) = mult(rd(mult(X1,X2),mult(rd(X0,X0),rd(X0,X0))),mult(rd(X0,X0),rd(X0,X0))),
inference(superposition,[],[f76,f1690]) ).
fof(f1734,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,rd(X0,X0)),rd(X0,X0))) = mult(mult(X1,X2),rd(mult(rd(X0,X0),rd(X0,X0)),mult(rd(X0,X0),rd(X0,X0)))),
inference(forward_demodulation,[],[f1723,f1566]) ).
fof(f1748,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,rd(X0,X0)),rd(X0,X0))) = mult(mult(X1,X2),rd(X0,X0)),
inference(forward_demodulation,[],[f1734,f1666]) ).
fof(f1760,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,X0),X0)) = mult(mult(X1,X2),rd(X0,X0)),
inference(forward_demodulation,[],[f1748,f335]) ).
fof(f1768,plain,
! [X2,X0,X1] : mult(mult(X1,X2),rd(X0,X0)) = mult(X1,mult(X2,rd(X0,X0))),
inference(forward_demodulation,[],[f1760,f1566]) ).
fof(f1778,plain,
( $false
| spl3_1 ),
inference(unit_resulting_resolution,[],[f1644,f1616]) ).
fof(f1793,plain,
! [X0,X1] : rd(X0,X1) = mult(rd(X0,X1),rd(X1,X1)),
inference(superposition,[],[f216,f1644]) ).
fof(f1822,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f1778]) ).
fof(f1926,plain,
( rd(mult(sK0,ld(sK1,sK2)),ld(sK1,sK2)) != mult(rd(sK0,sK2),sK2)
| spl3_2 ),
inference(forward_demodulation,[],[f25,f15]) ).
fof(f1927,plain,
( rd(mult(sK0,ld(sK1,sK2)),ld(sK1,sK2)) != mult(sK0,rd(sK2,sK2))
| spl3_2 ),
inference(forward_demodulation,[],[f1926,f1566]) ).
fof(f1928,plain,
( mult(sK0,rd(sK2,sK2)) != mult(rd(sK0,ld(sK1,sK2)),ld(sK1,sK2))
| spl3_2 ),
inference(forward_demodulation,[],[f1927,f15]) ).
fof(f1929,plain,
( mult(sK0,rd(sK2,sK2)) != mult(sK0,rd(ld(sK1,sK2),ld(sK1,sK2)))
| spl3_2 ),
inference(forward_demodulation,[],[f1928,f1566]) ).
fof(f1942,plain,
! [X2,X3,X0,X1] : mult(rd(X0,X1),mult(rd(rd(X1,X1),X3),X3)) = mult(rd(rd(X0,X1),mult(rd(X2,X3),X3)),mult(rd(X2,X3),X3)),
inference(superposition,[],[f76,f1793]) ).
fof(f1947,plain,
! [X3,X0,X1] : mult(rd(X0,X1),mult(rd(rd(X1,X1),X3),X3)) = mult(rd(rd(X0,X1),X3),X3),
inference(forward_demodulation,[],[f1942,f1291]) ).
fof(f1956,plain,
! [X3,X0,X1] : mult(rd(X0,X1),mult(rd(rd(X1,X1),X3),X3)) = mult(rd(X0,X1),rd(X3,X3)),
inference(forward_demodulation,[],[f1947,f1566]) ).
fof(f1963,plain,
! [X3,X0,X1] : mult(rd(X0,X1),rd(X3,X3)) = mult(rd(X0,X1),mult(rd(X1,X1),rd(X3,X3))),
inference(forward_demodulation,[],[f1956,f1566]) ).
fof(f2071,plain,
! [X2,X0,X1] : mult(rd(X0,rd(X2,X1)),rd(rd(X2,X1),rd(X2,X1))) = rd(mult(X0,rd(X1,X1)),rd(X2,X1)),
inference(superposition,[],[f1611,f1644]) ).
fof(f2079,plain,
! [X0,X1] : mult(rd(rd(X0,rd(X1,X1)),X1),rd(X1,X1)) = rd(mult(X0,rd(rd(X1,X1),rd(X1,X1))),X1),
inference(superposition,[],[f1611,f1566]) ).
fof(f2115,plain,
! [X0,X1] : rd(mult(X0,rd(X1,X1)),X1) = mult(rd(rd(X0,rd(X1,X1)),X1),rd(X1,X1)),
inference(forward_demodulation,[],[f2079,f1644]) ).
fof(f2121,plain,
! [X2,X0,X1] : rd(X0,rd(X2,X1)) = rd(mult(X0,rd(X1,X1)),rd(X2,X1)),
inference(forward_demodulation,[],[f2071,f1793]) ).
fof(f2137,plain,
! [X0,X1] : rd(mult(X0,rd(X1,X1)),X1) = rd(rd(X0,rd(X1,X1)),X1),
inference(forward_demodulation,[],[f2115,f1793]) ).
fof(f2153,plain,
! [X0,X1] : mult(rd(X0,X1),rd(X1,X1)) = rd(rd(X0,rd(X1,X1)),X1),
inference(forward_demodulation,[],[f2137,f1611]) ).
fof(f2165,plain,
! [X0,X1] : rd(X0,X1) = rd(rd(X0,rd(X1,X1)),X1),
inference(forward_demodulation,[],[f2153,f1793]) ).
fof(f2310,plain,
! [X0,X1] : mult(mult(rd(X0,X1),X1),X1) = mult(rd(X0,rd(X1,X1)),X1),
inference(superposition,[],[f1318,f2165]) ).
fof(f2311,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,rd(X1,X1)),X1),
inference(superposition,[],[f1318,f1566]) ).
fof(f2353,plain,
! [X0,X1] : mult(X0,X1) = mult(rd(X0,rd(X1,X1)),X1),
inference(forward_demodulation,[],[f2310,f1318]) ).
fof(f2424,plain,
! [X2,X0,X1] : mult(X0,mult(rd(ld(X0,ld(X0,X1)),X2),X2)) = mult(rd(ld(X0,X1),X2),X2),
inference(superposition,[],[f305,f1042]) ).
fof(f2455,plain,
! [X2,X3,X0,X1] : mult(rd(mult(X0,X1),X2),mult(rd(X2,X3),X3)) = mult(rd(mult(X0,mult(rd(X1,X2),X2)),X3),X3),
inference(superposition,[],[f305,f305]) ).
fof(f2478,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,mult(rd(X1,X2),X2)),X2),
inference(superposition,[],[f1318,f305]) ).
fof(f2515,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,mult(X1,rd(X2,X2))),X2),
inference(forward_demodulation,[],[f2478,f1566]) ).
fof(f2533,plain,
! [X2,X3,X0,X1] : mult(rd(mult(X0,X1),X2),mult(rd(X2,X3),X3)) = mult(mult(X0,mult(rd(X1,X2),X2)),rd(X3,X3)),
inference(forward_demodulation,[],[f2455,f1566]) ).
fof(f2563,plain,
! [X2,X0,X1] : mult(X0,mult(rd(ld(X0,ld(X0,X1)),X2),X2)) = mult(ld(X0,X1),rd(X2,X2)),
inference(forward_demodulation,[],[f2424,f1566]) ).
fof(f2593,plain,
! [X2,X3,X0,X1] : mult(rd(mult(X0,X1),X2),mult(rd(X2,X3),X3)) = mult(X0,mult(mult(rd(X1,X2),X2),rd(X3,X3))),
inference(forward_demodulation,[],[f2533,f1768]) ).
fof(f2621,plain,
! [X2,X0,X1] : mult(ld(X0,X1),rd(X2,X2)) = mult(X0,mult(ld(X0,ld(X0,X1)),rd(X2,X2))),
inference(forward_demodulation,[],[f2563,f1566]) ).
fof(f2648,plain,
! [X2,X3,X0,X1] : mult(rd(mult(X0,X1),X2),mult(rd(X2,X3),X3)) = mult(X0,mult(rd(X1,X2),mult(X2,rd(X3,X3)))),
inference(forward_demodulation,[],[f2593,f1768]) ).
fof(f2696,plain,
! [X2,X3,X0,X1] : mult(rd(mult(X0,X1),X2),mult(rd(X2,X3),X3)) = mult(X0,mult(X1,mult(rd(X2,X2),rd(X3,X3)))),
inference(forward_demodulation,[],[f2648,f1675]) ).
fof(f2735,plain,
! [X2,X3,X0,X1] : mult(X0,mult(X1,mult(rd(X2,X2),rd(X3,X3)))) = mult(rd(mult(X0,X1),X2),mult(X2,rd(X3,X3))),
inference(forward_demodulation,[],[f2696,f1566]) ).
fof(f2762,plain,
! [X2,X3,X0,X1] : mult(X0,mult(X1,mult(rd(X2,X2),rd(X3,X3)))) = mult(mult(X0,X1),mult(rd(X2,X2),rd(X3,X3))),
inference(forward_demodulation,[],[f2735,f1675]) ).
fof(f2804,plain,
! [X0,X1] : mult(rd(X0,rd(X1,X1)),X1) = mult(mult(X0,mult(rd(ld(X0,X0),X1),X1)),X1),
inference(superposition,[],[f2311,f80]) ).
fof(f2813,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(rd(mult(X0,rd(X1,X1)),X1),X1),
inference(superposition,[],[f15,f2311]) ).
fof(f2835,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(mult(X0,rd(X1,X1)),rd(X1,X1)),
inference(forward_demodulation,[],[f2813,f1566]) ).
fof(f2841,plain,
! [X0,X1] : mult(rd(X0,rd(X1,X1)),X1) = mult(mult(X0,mult(ld(X0,X0),rd(X1,X1))),X1),
inference(forward_demodulation,[],[f2804,f1566]) ).
fof(f2855,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(X0,mult(rd(X1,X1),rd(X1,X1))),
inference(forward_demodulation,[],[f2835,f1768]) ).
fof(f2861,plain,
! [X0,X1] : mult(rd(X0,rd(X1,X1)),X1) = mult(mult(X0,ld(X0,X0)),X1),
inference(forward_demodulation,[],[f2841,f2515]) ).
fof(f2873,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(X0,rd(X1,X1)),
inference(forward_demodulation,[],[f2855,f1579]) ).
fof(f2876,plain,
! [X0,X1] : mult(X0,ld(X0,mult(X0,X1))) = mult(rd(X0,rd(X1,X1)),X1),
inference(forward_demodulation,[],[f2861,f810]) ).
fof(f2887,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,ld(X0,mult(X0,X1))),
inference(forward_demodulation,[],[f2876,f2353]) ).
fof(f2893,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f2887,f14]) ).
fof(f2907,plain,
! [X2,X0,X1] : rd(mult(ld(X0,X1),ld(ld(X0,X1),X2)),X2) = mult(mult(X0,ld(X0,rd(X2,X2))),rd(X2,X2)),
inference(superposition,[],[f2873,f37]) ).
fof(f2948,plain,
! [X2,X0,X1] : mult(rd(X2,X2),mult(rd(X2,X1),X1)) = mult(rd(X2,mult(mult(X0,rd(X1,X1)),X1)),mult(mult(X0,rd(X1,X1)),X1)),
inference(superposition,[],[f116,f2873]) ).
fof(f2963,plain,
! [X2,X0,X1] : mult(rd(X2,X2),mult(rd(X2,X1),X1)) = mult(X2,rd(mult(mult(X0,rd(X1,X1)),X1),mult(mult(X0,rd(X1,X1)),X1))),
inference(forward_demodulation,[],[f2948,f1566]) ).
fof(f2997,plain,
! [X2,X0,X1] : rd(mult(ld(X0,X1),ld(ld(X0,X1),X2)),X2) = mult(X0,ld(X0,mult(rd(X2,X2),rd(X2,X2)))),
inference(forward_demodulation,[],[f2907,f810]) ).
fof(f3007,plain,
! [X2,X0,X1] : mult(rd(X2,X2),mult(rd(X2,X1),X1)) = mult(X2,rd(mult(X0,X1),mult(X0,X1))),
inference(forward_demodulation,[],[f2963,f2311]) ).
fof(f3035,plain,
! [X2,X0,X1] : mult(X0,ld(X0,rd(X2,X2))) = rd(mult(ld(X0,X1),ld(ld(X0,X1),X2)),X2),
inference(forward_demodulation,[],[f2997,f1579]) ).
fof(f3043,plain,
! [X2,X0,X1] : mult(rd(X2,X1),X1) = mult(X2,rd(mult(X0,X1),mult(X0,X1))),
inference(forward_demodulation,[],[f3007,f1091]) ).
fof(f3060,plain,
! [X2,X0] : mult(X0,ld(X0,rd(X2,X2))) = rd(mult(X0,ld(X0,X2)),X2),
inference(forward_demodulation,[],[f3035,f1029]) ).
fof(f3065,plain,
! [X2,X0,X1] : mult(X2,rd(X1,X1)) = mult(X2,rd(mult(X0,X1),mult(X0,X1))),
inference(forward_demodulation,[],[f3043,f1566]) ).
fof(f3183,plain,
! [X0,X1] : mult(mult(X0,ld(X0,rd(X1,X1))),X1) = mult(X0,mult(rd(ld(X0,X1),X1),X1)),
inference(superposition,[],[f305,f3060]) ).
fof(f3218,plain,
! [X0,X1] : mult(mult(X0,ld(X0,rd(X1,X1))),X1) = mult(X0,mult(ld(X0,X1),rd(X1,X1))),
inference(forward_demodulation,[],[f3183,f1566]) ).
fof(f3245,plain,
! [X0,X1] : mult(X0,ld(X0,mult(rd(X1,X1),X1))) = mult(X0,mult(ld(X0,X1),rd(X1,X1))),
inference(forward_demodulation,[],[f3218,f810]) ).
fof(f3269,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = mult(X0,mult(ld(X0,X1),rd(X1,X1))),
inference(forward_demodulation,[],[f3245,f27]) ).
fof(f3482,plain,
! [X0,X1] : mult(rd(X0,X0),ld(rd(X0,X0),mult(X0,X1))) = mult(ld(rd(X0,X0),X0),X1),
inference(superposition,[],[f810,f153]) ).
fof(f3498,plain,
! [X2,X3,X0,X1] : mult(X0,rd(mult(ld(X0,X1),X3),X3)) = rd(mult(X0,ld(X0,mult(X1,rd(X2,X3)))),rd(X2,X3)),
inference(superposition,[],[f17,f810]) ).
fof(f3499,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),ld(mult(X0,ld(X0,X1)),X2)) = ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,mult(X1,X2)))),
inference(superposition,[],[f14,f810]) ).
fof(f3508,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),rd(X2,X2)) = rd(mult(X0,ld(X0,mult(X1,X2))),X2),
inference(superposition,[],[f2873,f810]) ).
fof(f3520,plain,
! [X2,X0,X1] : rd(mult(rd(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1))),X2),X2) = ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,mult(X1,ld(X2,X2))))),
inference(superposition,[],[f18,f810]) ).
fof(f3530,plain,
! [X2,X0,X1] : rd(mult(rd(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1))),X2),X2) = ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,mult(X1,rd(X2,X2))))),
inference(forward_demodulation,[],[f3520,f201]) ).
fof(f3542,plain,
! [X2,X0,X1] : mult(X0,ld(X0,mult(X1,rd(X2,X2)))) = rd(mult(X0,ld(X0,mult(X1,X2))),X2),
inference(forward_demodulation,[],[f3508,f810]) ).
fof(f3551,plain,
! [X2,X0,X1] : mult(X0,ld(X0,mult(X1,ld(mult(X0,ld(X0,X1)),X2)))) = ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,mult(X1,X2)))),
inference(forward_demodulation,[],[f3499,f810]) ).
fof(f3552,plain,
! [X2,X3,X0,X1] : rd(mult(X0,ld(X0,mult(X1,rd(X2,X3)))),rd(X2,X3)) = mult(X0,mult(rd(ld(X0,X1),X3),X3)),
inference(forward_demodulation,[],[f3498,f15]) ).
fof(f3568,plain,
! [X0,X1] : mult(mult(X0,ld(X0,X0)),X1) = mult(ld(rd(X0,X0),X0),X1),
inference(forward_demodulation,[],[f3482,f227]) ).
fof(f3584,plain,
! [X2,X0,X1] : mult(rd(rd(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1))),X2),X2) = ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,mult(X1,rd(X2,X2))))),
inference(forward_demodulation,[],[f3530,f15]) ).
fof(f3602,plain,
! [X2,X0,X1] : mult(X0,ld(X0,X2)) = ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,mult(X1,X2)))),
inference(forward_demodulation,[],[f3551,f955]) ).
fof(f3603,plain,
! [X2,X3,X0,X1] : rd(mult(X0,ld(X0,mult(X1,rd(X2,X3)))),rd(X2,X3)) = mult(X0,mult(ld(X0,X1),rd(X3,X3))),
inference(forward_demodulation,[],[f3552,f1566]) ).
fof(f3607,plain,
! [X0,X1] : mult(X0,ld(X0,mult(X0,X1))) = mult(ld(rd(X0,X0),X0),X1),
inference(forward_demodulation,[],[f3568,f810]) ).
fof(f3617,plain,
! [X2,X0,X1] : ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,mult(X1,rd(X2,X2))))) = mult(rd(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1))),rd(X2,X2)),
inference(forward_demodulation,[],[f3584,f1566]) ).
fof(f3629,plain,
! [X2,X3,X0,X1] : mult(X0,ld(X0,mult(X1,rd(rd(X2,X3),rd(X2,X3))))) = mult(X0,mult(ld(X0,X1),rd(X3,X3))),
inference(forward_demodulation,[],[f3603,f3542]) ).
fof(f3631,plain,
! [X0,X1] : mult(X0,mult(X0,ld(X0,X1))) = mult(ld(rd(X0,X0),X0),X1),
inference(forward_demodulation,[],[f3607,f14]) ).
fof(f3638,plain,
! [X2,X0,X1] : ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,mult(X1,rd(X2,X2))))) = mult(mult(X0,ld(X0,rd(X1,X1))),rd(X2,X2)),
inference(forward_demodulation,[],[f3617,f1539]) ).
fof(f3648,plain,
! [X3,X0,X1] : mult(X0,ld(X0,mult(X1,rd(X3,X3)))) = mult(X0,mult(ld(X0,X1),rd(X3,X3))),
inference(forward_demodulation,[],[f3629,f1644]) ).
fof(f3649,plain,
! [X0,X1] : mult(X0,X1) = mult(ld(rd(X0,X0),X0),X1),
inference(forward_demodulation,[],[f3631,f2893]) ).
fof(f3652,plain,
! [X2,X0,X1] : ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,mult(X1,rd(X2,X2))))) = mult(X0,ld(X0,mult(rd(X1,X1),rd(X2,X2)))),
inference(forward_demodulation,[],[f3638,f810]) ).
fof(f3660,plain,
! [X2,X0,X1] : ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,mult(X1,rd(X2,X2))))) = mult(X0,mult(ld(X0,rd(X1,X1)),rd(X2,X2))),
inference(forward_demodulation,[],[f3652,f3648]) ).
fof(f3663,plain,
! [X2,X0,X1] : mult(X0,ld(X0,rd(X2,X2))) = mult(X0,mult(ld(X0,rd(X1,X1)),rd(X2,X2))),
inference(forward_demodulation,[],[f3660,f3602]) ).
fof(f3683,plain,
! [X2,X0,X1] : mult(X0,ld(ld(rd(X0,X0),X0),X1)) = mult(ld(rd(X0,X0),X2),ld(ld(rd(X0,X0),X2),X1)),
inference(superposition,[],[f45,f3649]) ).
fof(f3685,plain,
! [X0,X1] : mult(X0,ld(ld(rd(X0,X0),X0),X1)) = mult(mult(rd(X0,X0),ld(rd(X0,X0),X1)),ld(X1,X1)),
inference(superposition,[],[f40,f3649]) ).
fof(f3742,plain,
! [X0,X1] : mult(X0,ld(ld(rd(X0,X0),X0),X1)) = mult(rd(X0,X0),ld(rd(X0,X0),mult(X1,ld(X1,X1)))),
inference(forward_demodulation,[],[f3685,f810]) ).
fof(f3744,plain,
! [X0,X1] : mult(rd(X0,X0),ld(rd(X0,X0),X1)) = mult(X0,ld(ld(rd(X0,X0),X0),X1)),
inference(forward_demodulation,[],[f3683,f1029]) ).
fof(f3775,plain,
! [X0,X1] : mult(mult(X0,ld(X0,X1)),ld(X1,X1)) = mult(X0,ld(ld(rd(X0,X0),X0),X1)),
inference(forward_demodulation,[],[f3742,f227]) ).
fof(f3795,plain,
! [X0,X1] : mult(X0,ld(X0,mult(X1,ld(X1,X1)))) = mult(X0,ld(ld(rd(X0,X0),X0),X1)),
inference(forward_demodulation,[],[f3775,f810]) ).
fof(f3804,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = mult(X0,ld(ld(rd(X0,X0),X0),X1)),
inference(forward_demodulation,[],[f3795,f28]) ).
fof(f4147,plain,
! [X2,X0,X1] : rd(X2,mult(X0,rd(X1,X1))) = rd(mult(X2,rd(X1,X1)),mult(X0,rd(X1,X1))),
inference(superposition,[],[f2121,f2873]) ).
fof(f4163,plain,
! [X0,X1] : rd(X0,rd(X1,X1)) = mult(X0,rd(rd(X1,X1),rd(X1,X1))),
inference(superposition,[],[f2873,f2121]) ).
fof(f4195,plain,
! [X0,X1] : mult(X0,rd(X1,X1)) = rd(X0,rd(X1,X1)),
inference(forward_demodulation,[],[f4163,f1644]) ).
fof(f4288,plain,
! [X0,X1] : mult(rd(X0,X0),mult(rd(ld(rd(X0,X0),rd(X0,X0)),X1),X1)) = mult(mult(rd(X0,X0),rd(X0,X0)),mult(rd(rd(X0,X0),X1),X1)),
inference(superposition,[],[f123,f4195]) ).
fof(f4381,plain,
! [X0,X1] : mult(rd(X0,X0),mult(rd(ld(rd(X0,X0),rd(X0,X0)),X1),X1)) = mult(mult(rd(X0,X0),rd(X0,X0)),mult(rd(X0,X0),rd(X1,X1))),
inference(forward_demodulation,[],[f4288,f1566]) ).
fof(f4434,plain,
! [X0,X1] : mult(rd(X0,X0),mult(rd(ld(rd(X0,X0),rd(X0,X0)),X1),X1)) = mult(rd(X0,X0),mult(rd(X0,X0),mult(rd(X0,X0),rd(X1,X1)))),
inference(forward_demodulation,[],[f4381,f2762]) ).
fof(f4475,plain,
! [X0,X1] : mult(rd(X0,X0),mult(rd(X0,X0),rd(X1,X1))) = mult(rd(X0,X0),mult(rd(ld(rd(X0,X0),rd(X0,X0)),X1),X1)),
inference(forward_demodulation,[],[f4434,f1700]) ).
fof(f4504,plain,
! [X0,X1] : mult(rd(X0,X0),mult(rd(X0,X0),rd(X1,X1))) = mult(rd(X0,X0),mult(ld(rd(X0,X0),rd(X0,X0)),rd(X1,X1))),
inference(forward_demodulation,[],[f4475,f1566]) ).
fof(f4524,plain,
! [X0,X1] : mult(rd(X0,X0),mult(rd(X0,X0),rd(X1,X1))) = mult(rd(X0,X0),ld(rd(X0,X0),rd(X1,X1))),
inference(forward_demodulation,[],[f4504,f3663]) ).
fof(f4537,plain,
! [X0,X1] : mult(rd(X0,X0),mult(rd(X0,X0),rd(X1,X1))) = mult(X0,ld(ld(rd(X0,X0),X0),rd(X1,X1))),
inference(forward_demodulation,[],[f4524,f3744]) ).
fof(f4543,plain,
! [X0,X1] : mult(X0,ld(X0,rd(X1,X1))) = mult(rd(X0,X0),mult(rd(X0,X0),rd(X1,X1))),
inference(forward_demodulation,[],[f4537,f3804]) ).
fof(f4547,plain,
! [X0,X1] : mult(X0,ld(X0,rd(X1,X1))) = mult(rd(X0,X0),rd(X1,X1)),
inference(forward_demodulation,[],[f4543,f1963]) ).
fof(f7268,plain,
! [X2,X3,X0,X1,X4,X5] : rd(mult(rd(mult(X0,X1),mult(X2,mult(rd(X3,X4),X4))),mult(X2,mult(rd(X3,X4),X4))),mult(rd(X1,rd(X5,X4)),rd(X5,X4))) = mult(X0,rd(mult(rd(X1,rd(X5,X4)),rd(X5,X4)),mult(rd(X1,rd(X5,X4)),rd(X5,X4)))),
inference(superposition,[],[f2873,f81]) ).
fof(f7325,plain,
! [X2,X3,X0,X1,X4,X5] : rd(mult(rd(mult(X0,X1),mult(X2,mult(rd(X3,X4),X4))),mult(X2,mult(rd(X3,X4),X4))),mult(rd(X1,rd(X5,X4)),rd(X5,X4))) = mult(X0,rd(rd(X5,X4),rd(X5,X4))),
inference(forward_demodulation,[],[f7268,f3065]) ).
fof(f7528,plain,
! [X2,X3,X0,X1,X4,X5] : rd(mult(rd(mult(X0,X1),mult(X2,mult(rd(X3,X4),X4))),mult(X2,mult(rd(X3,X4),X4))),mult(rd(X1,rd(X5,X4)),rd(X5,X4))) = mult(X0,rd(X4,X4)),
inference(forward_demodulation,[],[f7325,f1644]) ).
fof(f7723,plain,
! [X2,X3,X0,X1,X4] : rd(mult(rd(mult(X0,X1),mult(X2,mult(rd(X3,X4),X4))),mult(X2,mult(rd(X3,X4),X4))),mult(rd(X1,X4),X4)) = mult(X0,rd(X4,X4)),
inference(forward_demodulation,[],[f7528,f1293]) ).
fof(f7914,plain,
! [X2,X3,X0,X1,X4] : mult(X0,rd(X4,X4)) = rd(mult(rd(mult(X0,X1),mult(X2,mult(rd(X3,X4),X4))),mult(X2,mult(rd(X3,X4),X4))),mult(X1,rd(X4,X4))),
inference(forward_demodulation,[],[f7723,f1566]) ).
fof(f8102,plain,
! [X2,X3,X0,X1,X4] : mult(X0,rd(X4,X4)) = rd(mult(mult(X0,X1),rd(mult(X2,mult(rd(X3,X4),X4)),mult(X2,mult(rd(X3,X4),X4)))),mult(X1,rd(X4,X4))),
inference(forward_demodulation,[],[f7914,f1566]) ).
fof(f8278,plain,
! [X3,X0,X1,X4] : mult(X0,rd(X4,X4)) = rd(mult(mult(X0,X1),rd(mult(rd(X3,X4),X4),mult(rd(X3,X4),X4))),mult(X1,rd(X4,X4))),
inference(forward_demodulation,[],[f8102,f3065]) ).
fof(f8426,plain,
! [X0,X1,X4] : mult(X0,rd(X4,X4)) = rd(mult(mult(X0,X1),rd(X4,X4)),mult(X1,rd(X4,X4))),
inference(forward_demodulation,[],[f8278,f3065]) ).
fof(f8549,plain,
! [X0,X1,X4] : mult(X0,rd(X4,X4)) = rd(mult(X0,X1),mult(X1,rd(X4,X4))),
inference(forward_demodulation,[],[f8426,f4147]) ).
fof(f8847,plain,
! [X2,X0,X1] : mult(mult(X0,rd(X1,X1)),rd(X2,X2)) = rd(mult(X0,X1),mult(X1,rd(X2,X2))),
inference(superposition,[],[f8549,f2311]) ).
fof(f9068,plain,
! [X2,X0,X1] : mult(X0,rd(X2,X2)) = mult(mult(X0,rd(X1,X1)),rd(X2,X2)),
inference(forward_demodulation,[],[f8847,f8549]) ).
fof(f9158,plain,
! [X2,X0,X1] : mult(X0,rd(X2,X2)) = mult(X0,mult(rd(X1,X1),rd(X2,X2))),
inference(forward_demodulation,[],[f9068,f1768]) ).
fof(f9228,plain,
! [X2,X0,X1] : mult(X0,rd(X2,X2)) = mult(X0,mult(X1,ld(X1,rd(X2,X2)))),
inference(forward_demodulation,[],[f9158,f4547]) ).
fof(f15825,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X0,X1))) = mult(X0,ld(X0,mult(ld(X0,X1),rd(X1,X1)))),
inference(superposition,[],[f14,f3269]) ).
fof(f15862,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X0,X1))) = mult(X0,mult(ld(X0,ld(X0,X1)),rd(X1,X1))),
inference(forward_demodulation,[],[f15825,f3648]) ).
fof(f15891,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X0,X1))) = mult(ld(X0,X1),rd(X1,X1)),
inference(forward_demodulation,[],[f15862,f2621]) ).
fof(f15912,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X0,X1))) = mult(ld(X0,X1),rd(X1,X1)),
inference(forward_demodulation,[],[f15891,f14]) ).
fof(f15924,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(X0,X1),rd(X1,X1)),
inference(forward_demodulation,[],[f15912,f1042]) ).
fof(f15964,plain,
! [X0,X1] : ld(ld(X0,X1),ld(X0,X1)) = mult(ld(X0,X1),ld(ld(X0,X1),rd(X1,X1))),
inference(superposition,[],[f14,f15924]) ).
fof(f15992,plain,
! [X0,X1] : ld(ld(X0,X1),ld(X0,X1)) = mult(X0,ld(X0,rd(X1,X1))),
inference(forward_demodulation,[],[f15964,f1029]) ).
fof(f16012,plain,
! [X0,X1] : rd(ld(X0,X1),ld(X0,X1)) = mult(X0,ld(X0,rd(X1,X1))),
inference(forward_demodulation,[],[f15992,f201]) ).
fof(f16047,plain,
( mult(sK0,rd(sK2,sK2)) != mult(sK0,mult(sK1,ld(sK1,rd(sK2,sK2))))
| spl3_2 ),
inference(superposition,[],[f1929,f16012]) ).
fof(f16197,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f16047,f9228]) ).
fof(f16198,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f16197]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f26]) ).
cnf(s3,plain,
spl3_1,
inference(sat_conversion,[],[f1822]) ).
cnf(s4,plain,
spl3_2,
inference(sat_conversion,[],[f16198]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
fof(f16398,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP685+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.33 % Computer : n012.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Sun Sep 27 10:35:34 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.12/0.34 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 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
% 10.19/2.19 % (2181981)Detected formulas, will run a generic FOF schedule.
% 10.19/2.19 % (2181991)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=744788914:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 10.19/2.19 % (2181992)dis-21_1_sil=8000:lcm=predicate:random_seed=1678201612:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/129Mi)
% 10.19/2.19 % (2181990)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3691930413:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 10.19/2.19 % (2181989)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4109941453:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 10.19/2.19 % (2181986)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=2242076110:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 10.19/2.19 % (2181988)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=2219015407:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 10.19/2.19 % (2181987)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=3887392246:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 10.19/2.19 % (2181992)Refutation not found, incomplete strategy
% 10.19/2.19 % (2181992)------------------------------
% 10.19/2.19 % (2181992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.19 % (2181992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.19 % (2181992)CaDiCaL version: 2.1.3
% 10.19/2.19 % (2181992)Termination reason: Refutation not found, incomplete strategy
% 10.19/2.19 % (2181992)Time elapsed: 0.001 s
% 10.19/2.19 % (2181992)Peak memory usage: 88 MB
% 10.19/2.19 % (2181989)Refutation not found, incomplete strategy
% 10.19/2.19 % (2181989)------------------------------
% 10.19/2.19 % (2181989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.19 % (2181989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.19 % (2181989)CaDiCaL version: 2.1.3
% 10.19/2.19 % (2181989)Termination reason: Refutation not found, incomplete strategy
% 10.19/2.19 % (2181989)Time elapsed: 0.001 s
% 10.19/2.19 % (2181989)Peak memory usage: 88 MB
% 10.19/2.19 % (2181989)Instructions burned: 1 (million)
% 10.19/2.19 % (2181991)Instruction limit reached!
% 10.19/2.19 % (2181991)------------------------------
% 10.19/2.19 % (2181991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.19 % (2181991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.19 % (2181991)CaDiCaL version: 2.1.3
% 10.19/2.19 % (2181991)Termination reason: Instruction limit
% 10.19/2.19 % (2181991)Termination phase: Saturation
% 10.19/2.19 % (2181991)Time elapsed: 0.067 s
% 10.19/2.19 % (2181991)Peak memory usage: 90 MB
% 10.19/2.19 % (2181991)Instructions burned: 139 (million)
% 10.19/2.19 % (2181990)Instruction limit reached!
% 10.19/2.19 % (2181990)------------------------------
% 10.19/2.19 % (2181990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.19 % (2181990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.19 % (2181990)CaDiCaL version: 2.1.3
% 10.19/2.19 % (2181990)Termination reason: Instruction limit
% 10.19/2.19 % (2181990)Termination phase: Saturation
% 10.19/2.19 % (2181990)Time elapsed: 0.060 s
% 10.19/2.19 % (2181990)Peak memory usage: 89 MB
% 10.19/2.19 % (2181990)Instructions burned: 120 (million)
% 10.19/2.19 % (2181992)------------------------------
% 10.19/2.19 % (2181992)------------------------------
% 10.19/2.19 % (2181989)------------------------------
% 10.19/2.19 % (2181989)------------------------------
% 10.19/2.19 % (2182000)lrs+10_1_sil=8000:sp=occurrence:random_seed=2029602036:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.19/2.19 % (2182001)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3045378315:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.19/2.19 % (2182001)Instruction limit reached!
% 10.19/2.19 % (2182001)------------------------------
% 10.19/2.19 % (2182001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.19 % (2182001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.19 % (2182001)CaDiCaL version: 2.1.3
% 10.19/2.19 % (2182001)Termination reason: Instruction limit
% 10.19/2.19 % (2182001)Termination phase: Saturation
% 10.19/2.19 % (2182001)Time elapsed: 0.083 s
% 10.19/2.19 % (2182001)Peak memory usage: 90 MB
% 10.19/2.19 % (2182001)Instructions burned: 158 (million)
% 10.19/2.19 % (2182002)lrs+1011_1_sil=32000:sp=occurrence:random_seed=163113241:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 10.19/2.19 % (2182003)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=3938738346:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 10.19/2.19 % (2182000)Instruction limit reached!
% 10.19/2.19 % (2182000)------------------------------
% 10.19/2.19 % (2182000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.19 % (2182000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.19 % (2182000)CaDiCaL version: 2.1.3
% 10.19/2.19 % (2182000)Termination reason: Instruction limit
% 10.19/2.19 % (2182000)Termination phase: Saturation
% 10.19/2.19 % (2182000)Time elapsed: 0.147 s
% 10.19/2.19 % (2182000)Peak memory usage: 91 MB
% 10.19/2.19 % (2182000)Instructions burned: 286 (million)
% 10.19/2.19 % (2181988)Refutation not found, incomplete strategy
% 10.19/2.19 % (2181988)------------------------------
% 10.19/2.19 % (2181988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.19 % (2181988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.19 % (2181988)CaDiCaL version: 2.1.3
% 10.19/2.19 % (2181988)Termination reason: Refutation not found, incomplete strategy
% 10.19/2.19 % (2181988)Time elapsed: 0.530 s
% 10.19/2.19 % (2181988)Peak memory usage: 126 MB
% 10.19/2.19 % (2181988)Instructions burned: 891 (million)
% 10.19/2.19 % (2182003)Instruction limit reached!
% 10.19/2.19 % (2182003)------------------------------
% 10.19/2.19 % (2182003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.19 % (2182003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.19 % (2182003)CaDiCaL version: 2.1.3
% 10.19/2.19 % (2182003)Termination reason: Instruction limit
% 10.19/2.19 % (2182003)Termination phase: Saturation
% 10.19/2.19 % (2182003)Time elapsed: 0.127 s
% 10.19/2.19 % (2182003)Peak memory usage: 91 MB
% 10.19/2.19 % (2182003)Instructions burned: 249 (million)
% 10.19/2.19 % (2182002)Instruction limit reached!
% 10.19/2.19 % (2182002)------------------------------
% 10.19/2.19 % (2182002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.19 % (2182002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.19 % (2182002)CaDiCaL version: 2.1.3
% 10.19/2.19 % (2182002)Termination reason: Instruction limit
% 10.19/2.19 % (2182002)Termination phase: Saturation
% 10.19/2.19 % (2182002)Time elapsed: 0.165 s
% 10.19/2.19 % (2182002)Peak memory usage: 91 MB
% 10.19/2.19 % (2182002)Instructions burned: 326 (million)
% 10.19/2.19 % (2182006)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=634390955:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 10.19/2.19 % (2182006)Refutation not found, incomplete strategy
% 10.19/2.19 % (2182006)------------------------------
% 10.19/2.19 % (2182006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.19 % (2182006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.19 % (2182006)CaDiCaL version: 2.1.3
% 10.19/2.19 % (2182006)Termination reason: Refutation not found, incomplete strategy
% 10.19/2.19 % (2182006)Time elapsed: 0.002 s
% 10.19/2.19 % (2182006)Peak memory usage: 89 MB
% 10.19/2.19 % (2182006)Instructions burned: 1 (million)
% 10.19/2.19 % (2182009)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2388115515:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 10.19/2.19 % (2182011)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1260936022:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 10.19/2.19 % (2182010)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2159399837:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 10.19/2.19 % (2182011)Refutation not found, incomplete strategy
% 10.19/2.19 % (2182011)------------------------------
% 10.19/2.19 % (2182011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.19 % (2182011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.19 % (2182011)CaDiCaL version: 2.1.3
% 10.19/2.19 % (2182011)Termination reason: Refutation not found, incomplete strategy
% 10.19/2.19 % (2182011)Time elapsed: 0.001 s
% 10.19/2.19 % (2182011)Peak memory usage: 87 MB
% 10.19/2.19 % (2182010)Refutation not found, incomplete strategy
% 10.19/2.19 % (2182010)------------------------------
% 10.19/2.19 % (2182010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.19 % (2182010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.19 % (2182010)CaDiCaL version: 2.1.3
% 10.19/2.19 % (2182010)Termination reason: Refutation not found, incomplete strategy
% 10.19/2.19 % (2182010)Time elapsed: 0.001 s
% 10.19/2.19 % (2182010)Peak memory usage: 88 MB
% 10.19/2.19 % (2181988)------------------------------
% 10.19/2.19 % (2181988)------------------------------
% 10.19/2.19 % (2182006)------------------------------
% 10.19/2.19 % (2182006)------------------------------
% 10.19/2.19 % (2182011)------------------------------
% 10.19/2.19 % (2182011)------------------------------
% 10.19/2.19 % (2182010)------------------------------
% 10.19/2.19 % (2182010)------------------------------
% 10.19/2.19 % (2182017)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3856864746:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 10.19/2.19 % (2182017)Refutation not found, incomplete strategy
% 10.19/2.19 % (2182017)------------------------------
% 10.19/2.19 % (2182017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.19 % (2182017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.19 % (2182017)CaDiCaL version: 2.1.3
% 10.19/2.19 % (2182017)Termination reason: Refutation not found, incomplete strategy
% 10.19/2.19 % (2182017)Time elapsed: 0.001 s
% 10.19/2.19 % (2182017)Peak memory usage: 88 MB
% 10.19/2.19 % (2182017)Instructions burned: 1 (million)
% 10.19/2.19 % (2182020)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3186077024:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 10.19/2.19 % (2182020)Refutation not found, incomplete strategy
% 10.19/2.19 % (2182020)------------------------------
% 10.19/2.19 % (2182020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.19/2.19 % (2182020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.19/2.19 % (2182020)CaDiCaL version: 2.1.3
% 10.19/2.19 % (2182020)Termination reason: Refutation not found, incomplete strategy
% 10.19/2.19 % (2182020)Time elapsed: 0.001 s
% 10.19/2.19 % (2182020)Peak memory usage: 88 MB
% 10.19/2.19 % (2182020)Instructions burned: 1 (million)
% 10.19/2.19 % (2182019)lrs+10_1_sil=8000:sp=occurrence:random_seed=1331764460:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 10.19/2.19 % (2181987)First to succeed.
% 10.19/2.19 % (2181987)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2181981"
% 10.19/2.19 % (2182021)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=334342414:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 10.19/2.19 % (2182017)------------------------------
% 10.19/2.19 % (2182017)------------------------------
% 10.19/2.19 % (2182020)------------------------------
% 10.19/2.19 % (2182020)------------------------------
% 10.19/2.19 % (2181987)Refutation found. Thanks to Tanya!
% 10.19/2.19 % SZS status Theorem for theBenchmark
% 10.19/2.19 % SZS output start Proof for theBenchmark
% See solution above
% 10.76/2.31 % (2181987)------------------------------
% 10.76/2.31 % (2181987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.76/2.31 % (2181987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.76/2.31 % (2181987)CaDiCaL version: 2.1.3
% 10.76/2.31 % (2181987)Termination reason: Refutation
% 10.76/2.31 % (2181987)Time elapsed: 1.053 s
% 10.76/2.31 % (2181987)Peak memory usage: 134 MB
% 10.76/2.31 % (2181987)Instructions burned: 1800 (million)
% 10.76/2.31 % (2181987)------------------------------
% 10.76/2.31 % (2181987)------------------------------
% 10.76/2.31 % (2181981)Success in time 1.47 s
% 10.76/2.31 % Vampire exiting
%------------------------------------------------------------------------------