%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP666-5 : 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 : 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 10:15:31 AM UTC 2026
% Result : Unsatisfiable 107.59s 24.02s
% Output : Refutation 163.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 85
% Number of leaves : 25
% Syntax : Number of formulae : 319 ( 296 unt; 13 def)
% Number of atoms : 373 ( 299 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 105 ( 51 ~; 47 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 8 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 701 ( 0 sgn 701 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
fof(f7,axiom,
! [X2,X3,X0,X1] : ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,X3)))) = mult(ld(mult(X0,X1),mult(X0,mult(X1,X2))),ld(mult(X0,X1),mult(X0,mult(X1,X3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
fof(f8,axiom,
! [X2,X3,X0,X1] : rd(mult(mult(mult(X0,X1),X2),X3),mult(X2,X3)) = mult(rd(mult(mult(X0,X2),X3),mult(X2,X3)),rd(mult(mult(X1,X2),X3),mult(X2,X3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
fof(f9,axiom,
! [X2,X0,X1] : ld(X0,mult(mult(X1,X2),X0)) = mult(ld(X0,mult(X1,X0)),ld(X0,mult(X2,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
fof(f10,axiom,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
fof(f11,axiom,
! [X0,X1] : mult(mult(X0,X1),i(X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).
fof(f12,negated_conjecture,
mult(mult(a,b),mult(c,a)) != mult(a,mult(mult(b,c),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f13,definition,
sF0 = mult(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f14,plain,
mult(a,b) = sF0,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF1 = mult(c,a),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f16,plain,
mult(c,a) = sF1,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF2 = mult(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f18,plain,
mult(sF0,sF1) = sF2,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF3 = mult(b,c),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f20,plain,
mult(b,c) = sF3,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF4 = mult(sF3,a),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f22,plain,
mult(sF3,a) = sF4,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF5 = mult(a,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f24,plain,
mult(a,sF4) = sF5,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
sF2 != sF5,
inference(definition_folding,[],[f12,f24,f22,f20,f18,f16,f14]) ).
fof(f26,plain,
! [X0,X1] : ld(X1,X0) = mult(i(X1),X0),
inference(superposition,[],[f10,f1]) ).
fof(f28,plain,
! [X0,X1] : mult(X1,X0) = ld(i(X1),X0),
inference(superposition,[],[f2,f10]) ).
fof(f32,definition,
( spl6_1
<=> mult(a,sF4) = sF5 ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f34,plain,
( mult(a,sF4) = sF5
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f35,plain,
spl6_1,
inference(avatar_split_clause,[],[f24,f32]) ).
fof(f37,plain,
! [X0,X1] : mult(X0,i(ld(X1,X0))) = X1,
inference(superposition,[],[f11,f1]) ).
fof(f38,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,i(X1)),
inference(superposition,[],[f11,f3]) ).
fof(f39,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,i(i(X1))),
inference(superposition,[],[f11,f11]) ).
fof(f40,plain,
! [X0,X1] : i(X1) = ld(mult(X0,X1),X0),
inference(superposition,[],[f2,f11]) ).
fof(f41,plain,
! [X0,X1] : mult(X0,X1) = rd(X0,i(X1)),
inference(backward_demodulation,[],[f39,f38]) ).
fof(f43,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(forward_demodulation,[],[f37,f38]) ).
fof(f45,plain,
! [X2,X3,X0,X1] : rd(mult(mult(mult(rd(X0,X1),X2),X1),X3),mult(X1,X3)) = mult(rd(mult(X0,X3),mult(X1,X3)),rd(mult(mult(X2,X1),X3),mult(X1,X3))),
inference(superposition,[],[f8,f3]) ).
fof(f49,plain,
! [X2,X3,X0,X1] : rd(mult(mult(mult(X1,rd(X0,X2)),X2),X3),mult(X2,X3)) = mult(rd(mult(mult(X1,X2),X3),mult(X2,X3)),rd(mult(X0,X3),mult(X2,X3))),
inference(superposition,[],[f8,f3]) ).
fof(f55,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X1,X2),X3),mult(X2,X3)) = ld(rd(mult(mult(X0,X2),X3),mult(X2,X3)),rd(mult(mult(mult(X0,X1),X2),X3),mult(X2,X3))),
inference(superposition,[],[f2,f8]) ).
fof(f64,plain,
! [X2,X0,X1] : ld(X1,mult(mult(rd(X0,X1),X2),X1)) = mult(ld(X1,X0),ld(X1,mult(X2,X1))),
inference(superposition,[],[f9,f3]) ).
fof(f69,plain,
! [X2,X0,X1] : ld(X1,mult(mult(X2,rd(X0,X1)),X1)) = mult(ld(X1,mult(X2,X1)),ld(X1,X0)),
inference(superposition,[],[f9,f3]) ).
fof(f71,plain,
! [X0,X1] : ld(X0,mult(mult(X1,X0),X0)) = mult(ld(X0,mult(X1,X0)),X0),
inference(superposition,[],[f9,f2]) ).
fof(f72,plain,
! [X2,X0,X1] : ld(X0,mult(X2,X0)) = ld(ld(X0,mult(X1,X0)),ld(X0,mult(mult(X1,X2),X0))),
inference(superposition,[],[f2,f9]) ).
fof(f85,definition,
( spl6_2
<=> mult(sF0,sF1) = sF2 ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f87,plain,
( mult(sF0,sF1) = sF2
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
spl6_2,
inference(avatar_split_clause,[],[f18,f85]) ).
fof(f93,definition,
( spl6_3
<=> sF2 = sF5 ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f95,plain,
( sF2 != sF5
| spl6_3 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,plain,
~ spl6_3,
inference(avatar_split_clause,[],[f25,f93]) ).
fof(f98,definition,
( spl6_4
<=> mult(a,b) = sF0 ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f100,plain,
( mult(a,b) = sF0
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
spl6_4,
inference(avatar_split_clause,[],[f14,f98]) ).
fof(f105,definition,
( spl6_5
<=> mult(b,c) = sF3 ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f107,plain,
( mult(b,c) = sF3
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f108,plain,
spl6_5,
inference(avatar_split_clause,[],[f20,f105]) ).
fof(f112,definition,
( spl6_6
<=> mult(c,a) = sF1 ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f114,plain,
( mult(c,a) = sF1
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,plain,
spl6_6,
inference(avatar_split_clause,[],[f16,f112]) ).
fof(f120,plain,
! [X2,X3,X0,X1] : ld(mult(X1,X2),mult(X1,mult(X2,mult(ld(X2,X0),X3)))) = mult(ld(mult(X1,X2),mult(X1,X0)),ld(mult(X1,X2),mult(X1,mult(X2,X3)))),
inference(superposition,[],[f7,f1]) ).
fof(f140,plain,
! [X2,X3,X0,X1] : ld(mult(X1,X2),mult(X1,mult(X2,mult(X3,ld(X2,X0))))) = mult(ld(mult(X1,X2),mult(X1,mult(X2,X3))),ld(mult(X1,X2),mult(X1,X0))),
inference(superposition,[],[f7,f1]) ).
fof(f198,definition,
( spl6_7
<=> mult(sF3,a) = sF4 ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
fof(f200,plain,
( mult(sF3,a) = sF4
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f201,plain,
spl6_7,
inference(avatar_split_clause,[],[f22,f198]) ).
fof(f213,plain,
! [X0,X1] : ld(X1,mult(X0,X1)) = mult(ld(X1,X0),X1),
inference(superposition,[],[f71,f3]) ).
fof(f222,plain,
! [X0,X1] : ld(i(X0),mult(mult(X1,i(X0)),i(X0))) = mult(mult(X0,mult(X1,i(X0))),i(X0)),
inference(superposition,[],[f71,f28]) ).
fof(f224,plain,
! [X0,X1] : ld(X0,mult(X1,X0)) = rd(ld(X0,mult(mult(X1,X0),X0)),X0),
inference(superposition,[],[f4,f71]) ).
fof(f230,plain,
! [X0,X1] : ld(i(X0),mult(mult(X1,i(X0)),i(X0))) = rd(mult(X0,mult(X1,i(X0))),X0),
inference(forward_demodulation,[],[f222,f38]) ).
fof(f234,plain,
! [X0,X1] : ld(i(X0),mult(rd(X1,X0),i(X0))) = rd(mult(X0,rd(X1,X0)),X0),
inference(forward_demodulation,[],[f230,f38]) ).
fof(f236,plain,
! [X0,X1] : rd(mult(X0,rd(X1,X0)),X0) = mult(X0,mult(rd(X1,X0),i(X0))),
inference(forward_demodulation,[],[f234,f28]) ).
fof(f237,plain,
! [X0,X1] : rd(mult(X0,rd(X1,X0)),X0) = mult(X0,rd(rd(X1,X0),X0)),
inference(forward_demodulation,[],[f236,f38]) ).
fof(f238,plain,
! [X0,X1] : rd(mult(X1,X0),X1) = mult(X1,rd(X0,X1)),
inference(superposition,[],[f237,f4]) ).
fof(f251,plain,
! [X0,X1] : mult(X1,X0) = rd(mult(X1,mult(X0,X1)),X1),
inference(superposition,[],[f238,f4]) ).
fof(f273,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = mult(X0,mult(X1,X0)),
inference(superposition,[],[f3,f251]) ).
fof(f310,plain,
! [X0] : ld(X0,X0) = rd(ld(X0,mult(X0,X0)),X0),
inference(superposition,[],[f224,f6]) ).
fof(f325,plain,
! [X0] : rd(X0,X0) = ld(X0,X0),
inference(forward_demodulation,[],[f310,f2]) ).
fof(f393,plain,
! [X2,X0,X1] : ld(mult(X0,X1),X0) = ld(mult(X2,X1),X2),
inference(superposition,[],[f40,f40]) ).
fof(f394,plain,
! [X0,X1] : ld(X0,X1) = i(ld(X1,X0)),
inference(superposition,[],[f40,f1]) ).
fof(f395,plain,
! [X0] : ld(X0,X0) = i(unit),
inference(superposition,[],[f40,f5]) ).
fof(f399,plain,
! [X0] : i(X0) = ld(X0,unit),
inference(superposition,[],[f40,f6]) ).
fof(f411,plain,
! [X0] : rd(X0,X0) = i(unit),
inference(forward_demodulation,[],[f395,f325]) ).
fof(f436,plain,
! [X2,X0,X1] : ld(X1,X2) = mult(ld(mult(X0,X1),X0),X2),
inference(superposition,[],[f26,f40]) ).
fof(f444,plain,
! [X0,X1] : i(X0) = rd(ld(X0,X1),X1),
inference(superposition,[],[f4,f26]) ).
fof(f472,plain,
! [X0,X1] : i(mult(X1,X0)) = rd(i(X0),X1),
inference(superposition,[],[f444,f40]) ).
fof(f500,plain,
! [X0,X1] : mult(ld(X0,X1),mult(X0,ld(X0,X1))) = mult(ld(X0,mult(X1,X0)),ld(X0,X1)),
inference(superposition,[],[f273,f213]) ).
fof(f507,plain,
! [X0,X1] : mult(ld(X0,X1),mult(X0,ld(X0,X1))) = ld(X0,mult(mult(X1,rd(X1,X0)),X0)),
inference(forward_demodulation,[],[f500,f69]) ).
fof(f516,plain,
! [X0,X1] : mult(ld(X0,X1),X1) = ld(X0,mult(mult(X1,rd(X1,X0)),X0)),
inference(forward_demodulation,[],[f507,f1]) ).
fof(f572,plain,
! [X2,X0,X1] : mult(X0,ld(X1,mult(X2,X1))) = ld(X1,mult(mult(rd(mult(X1,X0),X1),X2),X1)),
inference(superposition,[],[f64,f2]) ).
fof(f582,plain,
! [X2,X0,X1] : ld(X1,mult(mult(rd(X2,X1),rd(X0,X1)),X1)) = mult(ld(X1,X2),ld(X1,X0)),
inference(superposition,[],[f64,f3]) ).
fof(f583,plain,
! [X0,X1] : ld(X0,mult(mult(rd(X1,X0),unit),X0)) = mult(ld(X0,X1),ld(X0,X0)),
inference(superposition,[],[f64,f6]) ).
fof(f605,plain,
! [X0,X1] : ld(X0,mult(mult(rd(X1,X0),unit),X0)) = mult(ld(X0,X1),rd(X0,X0)),
inference(forward_demodulation,[],[f583,f325]) ).
fof(f614,plain,
! [X0,X1] : ld(X0,mult(rd(X1,X0),X0)) = mult(ld(X0,X1),rd(X0,X0)),
inference(forward_demodulation,[],[f605,f5]) ).
fof(f620,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(X0,X1),rd(X0,X0)),
inference(forward_demodulation,[],[f614,f3]) ).
fof(f633,plain,
! [X0,X1] : mult(X0,rd(X1,X1)) = X0,
inference(superposition,[],[f620,f2]) ).
fof(f925,plain,
! [X2,X0,X1] : rd(X2,X1) = mult(X2,ld(mult(X0,X1),X0)),
inference(superposition,[],[f38,f40]) ).
fof(f938,plain,
! [X0,X1] : mult(X0,mult(i(X1),X0)) = mult(rd(X0,X1),X0),
inference(superposition,[],[f273,f38]) ).
fof(f945,plain,
! [X0] : i(X0) = rd(unit,X0),
inference(superposition,[],[f6,f38]) ).
fof(f946,plain,
! [X0,X1] : ld(X0,i(X1)) = rd(i(X0),X1),
inference(superposition,[],[f26,f38]) ).
fof(f947,plain,
! [X0,X1] : ld(X0,i(X1)) = i(mult(X1,X0)),
inference(forward_demodulation,[],[f946,f472]) ).
fof(f954,plain,
! [X0,X1] : mult(X0,ld(X1,X0)) = mult(rd(X0,X1),X0),
inference(forward_demodulation,[],[f938,f26]) ).
fof(f1055,plain,
! [X0,X1] : mult(X0,X1) = mult(X1,ld(ld(X0,X1),X1)),
inference(superposition,[],[f954,f43]) ).
fof(f1060,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = mult(mult(X0,X1),ld(X1,mult(X0,X1))),
inference(superposition,[],[f954,f4]) ).
fof(f1120,plain,
! [X0,X1] : mult(i(X0),X1) = mult(X1,ld(mult(X0,X1),X1)),
inference(superposition,[],[f1055,f28]) ).
fof(f1151,plain,
! [X0,X1] : ld(X0,X1) = mult(X1,ld(mult(X0,X1),X1)),
inference(forward_demodulation,[],[f1120,f26]) ).
fof(f1189,plain,
! [X0,X1] : ld(mult(X0,X1),X0) = mult(X0,ld(mult(X0,mult(X1,X0)),X0)),
inference(superposition,[],[f1151,f273]) ).
fof(f1228,plain,
! [X0,X1] : ld(mult(X0,X1),X0) = rd(X0,mult(X1,X0)),
inference(forward_demodulation,[],[f1189,f925]) ).
fof(f1241,plain,
! [X2,X0,X1] : rd(X0,mult(X1,X0)) = ld(mult(X2,X1),X2),
inference(backward_demodulation,[],[f393,f1228]) ).
fof(f1243,plain,
! [X2,X0,X1] : ld(X1,X2) = mult(rd(X0,mult(X1,X0)),X2),
inference(backward_demodulation,[],[f436,f1228]) ).
fof(f1247,plain,
! [X2,X0,X1] : rd(X2,X1) = mult(X2,rd(X0,mult(X1,X0))),
inference(backward_demodulation,[],[f925,f1228]) ).
fof(f1251,plain,
! [X2,X0,X1] : rd(X0,mult(X1,X0)) = rd(X2,mult(X1,X2)),
inference(forward_demodulation,[],[f1241,f1228]) ).
fof(f1323,plain,
! [X2,X3,X0,X1] : rd(X3,mult(ld(X0,X1),X3)) = rd(ld(X0,mult(X2,X0)),ld(X0,mult(mult(rd(X1,X0),X2),X0))),
inference(superposition,[],[f1251,f64]) ).
fof(f1326,plain,
! [X2,X0,X1] : rd(X2,X0) = rd(X1,mult(rd(X0,X2),X1)),
inference(superposition,[],[f1251,f3]) ).
fof(f1353,plain,
! [X2,X0,X1] : rd(mult(mult(X1,X2),X2),mult(X1,X2)) = mult(mult(X1,X2),rd(X0,mult(X1,X0))),
inference(superposition,[],[f238,f1251]) ).
fof(f1358,plain,
! [X2,X1] : rd(mult(X1,X2),X1) = rd(mult(mult(X1,X2),X2),mult(X1,X2)),
inference(forward_demodulation,[],[f1353,f1247]) ).
fof(f1404,plain,
! [X2,X3,X0,X1] : rd(X3,ld(X0,X1)) = mult(X3,rd(ld(X0,mult(X2,X0)),ld(X0,mult(mult(rd(X1,X0),X2),X0)))),
inference(superposition,[],[f1247,f64]) ).
fof(f1407,plain,
! [X2,X0,X1] : mult(X1,rd(X2,X0)) = rd(X1,rd(X0,X2)),
inference(superposition,[],[f1247,f3]) ).
fof(f1652,plain,
! [X2,X3,X0,X1] : mult(X3,rd(rd(X2,X1),X0)) = rd(X3,mult(X0,rd(X1,X2))),
inference(superposition,[],[f1407,f1407]) ).
fof(f1669,plain,
! [X0,X1] : i(unit) = mult(rd(X0,X1),rd(X1,X0)),
inference(superposition,[],[f411,f1407]) ).
fof(f1898,plain,
! [X1] : i(unit) = rd(X1,mult(i(unit),X1)),
inference(superposition,[],[f1326,f411]) ).
fof(f1933,plain,
! [X2,X0,X1] : mult(rd(X0,X1),X2) = mult(X2,ld(mult(rd(X1,X0),X2),X2)),
inference(superposition,[],[f954,f1326]) ).
fof(f1940,plain,
! [X2,X0,X1] : mult(rd(X0,X1),X2) = ld(rd(X1,X0),X2),
inference(forward_demodulation,[],[f1933,f1151]) ).
fof(f1961,plain,
! [X1] : i(unit) = rd(X1,ld(unit,X1)),
inference(forward_demodulation,[],[f1898,f26]) ).
fof(f1974,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X1,X2),X3),mult(X2,X3)) = mult(rd(mult(X2,X3),mult(mult(X0,X2),X3)),rd(mult(mult(mult(X0,X1),X2),X3),mult(X2,X3))),
inference(backward_demodulation,[],[f55,f1940]) ).
fof(f1987,plain,
unit = i(unit),
inference(forward_demodulation,[],[f1961,f43]) ).
fof(f2000,plain,
! [X0,X1] : unit = mult(rd(X0,X1),rd(X1,X0)),
inference(backward_demodulation,[],[f1669,f1987]) ).
fof(f2234,plain,
! [X2,X3,X0,X1] : ld(ld(X0,X1),X3) = mult(rd(ld(X0,mult(X2,X0)),ld(X0,mult(mult(rd(X1,X0),X2),X0))),X3),
inference(superposition,[],[f1243,f64]) ).
fof(f2419,plain,
! [X2,X0,X1] : ld(mult(X0,X1),mult(X0,mult(X1,mult(ld(X1,unit),X2)))) = mult(ld(mult(X0,X1),X0),ld(mult(X0,X1),mult(X0,mult(X1,X2)))),
inference(superposition,[],[f120,f5]) ).
fof(f2550,plain,
! [X2,X0,X1] : ld(mult(X0,X1),mult(X0,mult(X1,mult(ld(X1,unit),X2)))) = mult(rd(X0,mult(X1,X0)),ld(mult(X0,X1),mult(X0,mult(X1,X2)))),
inference(forward_demodulation,[],[f2419,f1228]) ).
fof(f2579,plain,
! [X2,X0,X1] : ld(mult(X0,X1),mult(X0,mult(X1,mult(ld(X1,unit),X2)))) = ld(X1,ld(mult(X0,X1),mult(X0,mult(X1,X2)))),
inference(forward_demodulation,[],[f2550,f1243]) ).
fof(f2604,plain,
! [X2,X0,X1] : ld(X1,ld(mult(X0,X1),mult(X0,mult(X1,X2)))) = ld(mult(X0,X1),mult(X0,mult(X1,mult(i(X1),X2)))),
inference(forward_demodulation,[],[f2579,f399]) ).
fof(f2618,plain,
! [X2,X0,X1] : ld(mult(X0,X1),mult(X0,mult(X1,ld(X1,X2)))) = ld(X1,ld(mult(X0,X1),mult(X0,mult(X1,X2)))),
inference(forward_demodulation,[],[f2604,f26]) ).
fof(f2627,plain,
! [X2,X0,X1] : ld(mult(X0,X1),mult(X0,X2)) = ld(X1,ld(mult(X0,X1),mult(X0,mult(X1,X2)))),
inference(forward_demodulation,[],[f2618,f1]) ).
fof(f2665,plain,
! [X2,X0,X1] : ld(X1,mult(mult(X2,rd(mult(X1,X0),X1)),X1)) = mult(ld(X1,mult(X2,X1)),X0),
inference(superposition,[],[f69,f2]) ).
fof(f3131,plain,
! [X2,X0,X1] : ld(mult(X1,X2),mult(X1,ld(X2,X0))) = ld(X2,ld(mult(X1,X2),mult(X1,X0))),
inference(superposition,[],[f2627,f1]) ).
fof(f3167,plain,
! [X2,X0,X1] : ld(mult(X0,X1),mult(X0,mult(X1,X2))) = mult(X1,ld(mult(X0,X1),mult(X0,X2))),
inference(superposition,[],[f1,f2627]) ).
fof(f3357,plain,
! [X0,X1] : ld(X1,ld(mult(X1,X1),mult(X1,X0))) = ld(mult(X1,X1),X0),
inference(superposition,[],[f3131,f1]) ).
fof(f3462,plain,
! [X0,X1] : ld(mult(X1,X1),ld(X1,X0)) = ld(X1,ld(mult(X1,X1),X0)),
inference(superposition,[],[f3357,f1]) ).
fof(f3492,plain,
! [X0,X1] : ld(mult(X0,X0),mult(X0,X1)) = mult(X0,ld(mult(X0,X0),X1)),
inference(superposition,[],[f1,f3357]) ).
fof(f3616,plain,
! [X0,X1] : ld(i(X0),ld(mult(i(X0),i(X0)),X1)) = ld(mult(i(X0),i(X0)),mult(X0,X1)),
inference(superposition,[],[f3462,f28]) ).
fof(f3631,plain,
! [X0,X1] : ld(i(X0),ld(ld(X0,i(X0)),X1)) = ld(ld(X0,i(X0)),mult(X0,X1)),
inference(forward_demodulation,[],[f3616,f26]) ).
fof(f3645,plain,
! [X0,X1] : ld(i(X0),ld(i(mult(X0,X0)),X1)) = ld(i(mult(X0,X0)),mult(X0,X1)),
inference(forward_demodulation,[],[f3631,f947]) ).
fof(f3654,plain,
! [X0,X1] : ld(i(X0),ld(i(mult(X0,X0)),X1)) = mult(mult(X0,X0),mult(X0,X1)),
inference(forward_demodulation,[],[f3645,f28]) ).
fof(f3661,plain,
! [X0,X1] : mult(X0,ld(i(mult(X0,X0)),X1)) = mult(mult(X0,X0),mult(X0,X1)),
inference(forward_demodulation,[],[f3654,f28]) ).
fof(f3667,plain,
! [X0,X1] : mult(mult(X0,X0),mult(X0,X1)) = mult(X0,mult(mult(X0,X0),X1)),
inference(forward_demodulation,[],[f3661,f28]) ).
fof(f3696,plain,
! [X0,X1] : mult(mult(X0,X0),rd(X0,X1)) = mult(X0,mult(mult(X0,X0),i(X1))),
inference(superposition,[],[f3667,f38]) ).
fof(f3723,plain,
! [X0,X1] : mult(X0,X1) = ld(mult(X0,X0),mult(X0,mult(mult(X0,X0),X1))),
inference(superposition,[],[f2,f3667]) ).
fof(f3760,plain,
! [X0,X1] : mult(mult(X0,X0),rd(X0,X1)) = mult(X0,rd(mult(X0,X0),X1)),
inference(forward_demodulation,[],[f3696,f38]) ).
fof(f3876,plain,
! [X0,X1] : ld(mult(i(X0),i(X0)),mult(i(X0),X1)) = ld(X0,ld(mult(i(X0),i(X0)),X1)),
inference(superposition,[],[f26,f3492]) ).
fof(f3877,plain,
! [X0,X1] : ld(ld(X0,i(X0)),mult(i(X0),X1)) = ld(X0,ld(ld(X0,i(X0)),X1)),
inference(forward_demodulation,[],[f3876,f26]) ).
fof(f3916,plain,
! [X0,X1] : ld(i(mult(X0,X0)),mult(i(X0),X1)) = ld(X0,ld(i(mult(X0,X0)),X1)),
inference(forward_demodulation,[],[f3877,f947]) ).
fof(f3935,plain,
! [X0,X1] : ld(i(mult(X0,X0)),mult(i(X0),X1)) = ld(X0,mult(mult(X0,X0),X1)),
inference(forward_demodulation,[],[f3916,f28]) ).
fof(f3948,plain,
! [X0,X1] : mult(mult(X0,X0),mult(i(X0),X1)) = ld(X0,mult(mult(X0,X0),X1)),
inference(forward_demodulation,[],[f3935,f28]) ).
fof(f3956,plain,
! [X0,X1] : mult(mult(X0,X0),ld(X0,X1)) = ld(X0,mult(mult(X0,X0),X1)),
inference(forward_demodulation,[],[f3948,f26]) ).
fof(f4000,plain,
! [X0,X1] : mult(X0,X0) = rd(ld(X0,mult(mult(X0,X0),X1)),ld(X0,X1)),
inference(superposition,[],[f4,f3956]) ).
fof(f4120,plain,
! [X0,X1] : rd(mult(X0,X0),X1) = mult(X0,rd(mult(X0,X0),mult(X1,X0))),
inference(superposition,[],[f1247,f3760]) ).
fof(f4656,plain,
! [X2,X0,X1] : i(ld(X0,mult(X2,X0))) = rd(ld(X0,mult(X1,X0)),ld(X0,mult(mult(X2,X1),X0))),
inference(superposition,[],[f444,f72]) ).
fof(f4669,plain,
! [X2,X0,X1] : ld(mult(X2,X0),X0) = rd(ld(X0,mult(X1,X0)),ld(X0,mult(mult(X2,X1),X0))),
inference(forward_demodulation,[],[f4656,f394]) ).
fof(f4749,plain,
! [X3,X0,X1] : ld(ld(X0,X1),X3) = mult(ld(mult(rd(X1,X0),X0),X0),X3),
inference(backward_demodulation,[],[f2234,f4669]) ).
fof(f4750,plain,
! [X3,X0,X1] : rd(X3,ld(X0,X1)) = mult(X3,ld(mult(rd(X1,X0),X0),X0)),
inference(backward_demodulation,[],[f1404,f4669]) ).
fof(f4751,plain,
! [X3,X0,X1] : rd(X3,mult(ld(X0,X1),X3)) = ld(mult(rd(X1,X0),X0),X0),
inference(backward_demodulation,[],[f1323,f4669]) ).
fof(f4798,plain,
! [X3,X0,X1] : ld(X1,X0) = rd(X3,mult(ld(X0,X1),X3)),
inference(forward_demodulation,[],[f4751,f3]) ).
fof(f4799,plain,
! [X3,X0,X1] : rd(X3,ld(X0,X1)) = mult(X3,ld(X1,X0)),
inference(forward_demodulation,[],[f4750,f3]) ).
fof(f4800,plain,
! [X3,X0,X1] : mult(ld(X1,X0),X3) = ld(ld(X0,X1),X3),
inference(forward_demodulation,[],[f4749,f3]) ).
fof(f4898,plain,
! [X0,X1] : mult(X0,X0) = mult(ld(X0,mult(mult(X0,X0),X1)),ld(X1,X0)),
inference(backward_demodulation,[],[f4000,f4799]) ).
fof(f5612,plain,
! [X2,X3,X0,X1] : mult(X3,rd(ld(X2,X1),X0)) = rd(X3,mult(X0,ld(X1,X2))),
inference(superposition,[],[f1407,f4799]) ).
fof(f5767,plain,
! [X2,X3,X0,X1] : mult(X3,ld(X2,ld(X1,X0))) = rd(X3,mult(ld(X0,X1),X2)),
inference(superposition,[],[f4799,f4800]) ).
fof(f5937,plain,
! [X2,X0,X1] : ld(ld(X0,X1),mult(X0,X0)) = rd(X2,mult(ld(X0,ld(mult(X0,X0),X1)),X2)),
inference(superposition,[],[f4798,f3462]) ).
fof(f5996,plain,
! [X0,X1] : ld(ld(mult(X0,X0),X1),X0) = ld(ld(X0,X1),mult(X0,X0)),
inference(forward_demodulation,[],[f5937,f4798]) ).
fof(f6014,plain,
! [X0,X1] : ld(ld(mult(X0,X0),X1),X0) = mult(ld(X1,X0),mult(X0,X0)),
inference(forward_demodulation,[],[f5996,f4800]) ).
fof(f6030,plain,
! [X0,X1] : mult(ld(X1,mult(X0,X0)),X0) = mult(ld(X1,X0),mult(X0,X0)),
inference(forward_demodulation,[],[f6014,f4800]) ).
fof(f6285,plain,
! [X2,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),X2))) = mult(ld(X1,X0),ld(X0,mult(X1,X2))),
inference(superposition,[],[f3167,f1]) ).
fof(f6318,plain,
! [X2,X0,X1] : mult(X2,ld(mult(X1,X2),X0)) = ld(mult(X1,X2),mult(X1,mult(X2,ld(X1,X0)))),
inference(superposition,[],[f3167,f1]) ).
fof(f6344,plain,
! [X2,X0,X1] : ld(mult(i(X0),X2),mult(i(X0),mult(X2,X1))) = mult(X2,ld(mult(i(X0),X2),ld(X0,X1))),
inference(superposition,[],[f3167,f26]) ).
fof(f6428,plain,
! [X2,X0,X1] : ld(mult(i(X0),X2),mult(i(X0),mult(X2,X1))) = rd(X2,mult(ld(X1,X0),mult(i(X0),X2))),
inference(forward_demodulation,[],[f6344,f5767]) ).
fof(f6493,plain,
! [X2,X0,X1] : ld(ld(X0,X2),mult(i(X0),mult(X2,X1))) = rd(X2,mult(ld(X1,X0),ld(X0,X2))),
inference(forward_demodulation,[],[f6428,f26]) ).
fof(f6538,plain,
! [X2,X0,X1] : rd(X2,mult(ld(X1,X0),ld(X0,X2))) = mult(ld(X2,X0),mult(i(X0),mult(X2,X1))),
inference(forward_demodulation,[],[f6493,f4800]) ).
fof(f6595,plain,
! [X2,X0,X1] : rd(X2,mult(ld(X1,X0),ld(X0,X2))) = mult(ld(X2,X0),ld(X0,mult(X2,X1))),
inference(forward_demodulation,[],[f6538,f26]) ).
fof(f6631,plain,
! [X2,X0,X1] : rd(X2,mult(ld(X1,X0),ld(X0,X2))) = ld(X0,mult(X2,mult(ld(X2,X0),X1))),
inference(forward_demodulation,[],[f6595,f6285]) ).
fof(f6830,plain,
! [X2,X0,X1] : ld(X0,mult(mult(mult(X0,X1),X2),X0)) = mult(mult(X1,X0),ld(X0,mult(X2,X0))),
inference(superposition,[],[f572,f251]) ).
fof(f6918,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = ld(X1,mult(mult(mult(X1,X0),X0),X1)),
inference(backward_demodulation,[],[f1060,f6830]) ).
fof(f7198,plain,
! [X2,X3,X0,X1] : rd(mult(mult(mult(rd(X1,X2),rd(X0,X2)),X2),X3),mult(X2,X3)) = mult(rd(mult(X1,X3),mult(X2,X3)),rd(mult(X0,X3),mult(X2,X3))),
inference(superposition,[],[f45,f3]) ).
fof(f7879,plain,
! [X2,X3,X0,X1] : rd(mult(mult(mult(X1,rd(rd(X0,X2),X3)),X3),X2),mult(X3,X2)) = mult(rd(mult(mult(X1,X3),X2),mult(X3,X2)),rd(X0,mult(X3,X2))),
inference(superposition,[],[f49,f3]) ).
fof(f7886,plain,
! [X2,X0,X1] : rd(mult(mult(mult(X1,rd(unit,X2)),X2),X0),mult(X2,X0)) = mult(rd(mult(mult(X1,X2),X0),mult(X2,X0)),rd(X0,mult(X2,X0))),
inference(superposition,[],[f49,f6]) ).
fof(f8045,plain,
! [X2,X0,X1] : rd(mult(mult(mult(X1,rd(unit,X2)),X2),X0),mult(X2,X0)) = rd(rd(mult(mult(X1,X2),X0),mult(X2,X0)),X2),
inference(forward_demodulation,[],[f7886,f1247]) ).
fof(f8052,plain,
! [X2,X3,X0,X1] : mult(rd(mult(mult(X1,X3),X2),mult(X3,X2)),rd(X0,mult(X3,X2))) = rd(mult(mult(rd(X1,mult(X3,rd(X2,X0))),X3),X2),mult(X3,X2)),
inference(forward_demodulation,[],[f7879,f1652]) ).
fof(f8154,plain,
! [X2,X0,X1] : rd(rd(mult(mult(X1,X2),X0),mult(X2,X0)),X2) = rd(mult(mult(mult(X1,i(X2)),X2),X0),mult(X2,X0)),
inference(forward_demodulation,[],[f8045,f945]) ).
fof(f8231,plain,
! [X2,X0,X1] : rd(rd(mult(mult(X1,X2),X0),mult(X2,X0)),X2) = rd(mult(mult(rd(X1,X2),X2),X0),mult(X2,X0)),
inference(forward_demodulation,[],[f8154,f38]) ).
fof(f8282,plain,
! [X2,X0,X1] : rd(rd(mult(mult(X1,X2),X0),mult(X2,X0)),X2) = rd(mult(X1,X0),mult(X2,X0)),
inference(forward_demodulation,[],[f8231,f3]) ).
fof(f8375,plain,
! [X0,X1] : rd(mult(X0,X0),mult(X1,X0)) = rd(rd(mult(X0,mult(X1,X0)),mult(X1,X0)),X1),
inference(superposition,[],[f8282,f273]) ).
fof(f8380,plain,
! [X2,X0,X1] : rd(mult(X1,ld(mult(X1,X2),X0)),mult(X2,ld(mult(X1,X2),X0))) = rd(rd(X0,mult(X2,ld(mult(X1,X2),X0))),X2),
inference(superposition,[],[f8282,f1]) ).
fof(f8428,plain,
! [X2,X0,X1] : rd(mult(mult(X0,X2),X1),mult(X2,X1)) = mult(rd(mult(X0,X1),mult(X2,X1)),X2),
inference(superposition,[],[f3,f8282]) ).
fof(f8487,plain,
! [X0,X1] : rd(X0,X1) = rd(mult(X0,X0),mult(X1,X0)),
inference(forward_demodulation,[],[f8375,f4]) ).
fof(f8559,plain,
! [X0,X1] : mult(X0,rd(X0,X1)) = rd(mult(X0,X0),X1),
inference(backward_demodulation,[],[f4120,f8487]) ).
fof(f8605,plain,
! [X0,X1] : mult(ld(X0,X1),X1) = ld(X0,mult(rd(mult(X1,X1),X0),X0)),
inference(backward_demodulation,[],[f516,f8559]) ).
fof(f8648,plain,
! [X0,X1] : mult(ld(X0,X1),X1) = ld(X0,mult(X1,X1)),
inference(forward_demodulation,[],[f8605,f3]) ).
fof(f8729,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = ld(i(X0),mult(X1,X1)),
inference(superposition,[],[f8648,f28]) ).
fof(f8735,plain,
! [X0,X1] : ld(X1,X0) = rd(X1,ld(X0,mult(X1,X1))),
inference(superposition,[],[f4798,f8648]) ).
fof(f8820,plain,
! [X0,X1] : ld(X1,X0) = mult(X1,ld(mult(X1,X1),X0)),
inference(forward_demodulation,[],[f8735,f4799]) ).
fof(f8825,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)),
inference(forward_demodulation,[],[f8729,f28]) ).
fof(f8864,plain,
! [X0,X1] : ld(X1,X0) = ld(mult(X1,X1),mult(X1,X0)),
inference(forward_demodulation,[],[f8820,f3492]) ).
fof(f8869,plain,
! [X2,X1] : rd(mult(X1,X2),X1) = rd(mult(X1,mult(X2,X2)),mult(X1,X2)),
inference(backward_demodulation,[],[f1358,f8825]) ).
fof(f8876,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = ld(X1,mult(mult(X1,mult(X0,X0)),X1)),
inference(backward_demodulation,[],[f6918,f8825]) ).
fof(f8947,plain,
! [X0,X1] : mult(X0,X1) = ld(X0,mult(mult(X0,X0),X1)),
inference(backward_demodulation,[],[f3723,f8864]) ).
fof(f8958,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = ld(X1,mult(X1,mult(mult(X0,X0),X1))),
inference(forward_demodulation,[],[f8876,f273]) ).
fof(f8988,plain,
! [X0,X1] : mult(X0,X0) = mult(mult(X0,X1),ld(X1,X0)),
inference(backward_demodulation,[],[f4898,f8947]) ).
fof(f9025,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = mult(mult(X0,X0),X1),
inference(forward_demodulation,[],[f8958,f2]) ).
fof(f9649,plain,
! [X2,X0,X1] : ld(X1,mult(mult(mult(X0,X0),rd(X2,X1)),X1)) = mult(ld(X1,mult(X0,mult(X0,X1))),ld(X1,X2)),
inference(superposition,[],[f69,f9025]) ).
fof(f9723,plain,
! [X2,X0,X1] : mult(ld(X1,mult(X0,mult(X0,X1))),ld(X1,X2)) = ld(X1,mult(mult(X0,mult(X0,rd(X2,X1))),X1)),
inference(forward_demodulation,[],[f9649,f9025]) ).
fof(f11669,plain,
! [X2,X0,X1] : rd(mult(mult(mult(rd(X1,X2),X0),X2),ld(X2,X0)),mult(X2,ld(X2,X0))) = mult(rd(mult(X1,ld(X2,X0)),mult(X2,ld(X2,X0))),rd(mult(X0,X0),mult(X2,ld(X2,X0)))),
inference(superposition,[],[f45,f8988]) ).
fof(f11735,plain,
! [X2,X0,X1] : rd(mult(mult(mult(rd(X1,X2),X0),X2),ld(X2,X0)),X0) = mult(rd(mult(X1,ld(X2,X0)),X0),rd(mult(X0,X0),X0)),
inference(forward_demodulation,[],[f11669,f1]) ).
fof(f11793,plain,
! [X2,X0,X1] : rd(mult(mult(mult(rd(X1,X2),X0),X2),ld(X2,X0)),X0) = mult(rd(mult(X1,ld(X2,X0)),X0),X0),
inference(forward_demodulation,[],[f11735,f4]) ).
fof(f11831,plain,
! [X2,X0,X1] : mult(X1,ld(X2,X0)) = rd(mult(mult(mult(rd(X1,X2),X0),X2),ld(X2,X0)),X0),
inference(forward_demodulation,[],[f11793,f3]) ).
fof(f14601,plain,
! [X2,X0,X1] : mult(mult(X0,X1),ld(X1,X2)) = rd(mult(mult(mult(X0,X2),X1),ld(X1,X2)),X2),
inference(superposition,[],[f11831,f4]) ).
fof(f16950,plain,
! [X2,X0,X1] : mult(X0,mult(ld(X0,mult(X1,X0)),X2)) = mult(mult(X1,rd(mult(X0,X2),X0)),X0),
inference(superposition,[],[f1,f2665]) ).
fof(f19638,plain,
! [X2,X0,X1] : rd(mult(mult(rd(X0,X1),X2),X1),mult(X2,X1)) = mult(rd(X0,mult(X2,X1)),X2),
inference(superposition,[],[f8428,f3]) ).
fof(f22161,plain,
! [X2,X0,X1] : mult(mult(rd(X1,X0),rd(X2,X0)),X0) = mult(X0,mult(ld(X0,X1),ld(X0,X2))),
inference(superposition,[],[f1,f582]) ).
fof(f22210,plain,
! [X2,X3,X0,X1] : mult(rd(mult(X1,X3),mult(X2,X3)),rd(mult(X0,X3),mult(X2,X3))) = rd(mult(mult(X2,mult(ld(X2,X1),ld(X2,X0))),X3),mult(X2,X3)),
inference(backward_demodulation,[],[f7198,f22161]) ).
fof(f22597,plain,
! [X2,X0,X1] : mult(mult(rd(X0,X2),X1),X2) = mult(mult(rd(X0,mult(X1,X2)),X1),mult(X1,X2)),
inference(superposition,[],[f3,f19638]) ).
fof(f31451,plain,
! [X2,X0,X1] : mult(mult(X2,mult(X0,X1)),rd(X0,mult(X1,X0))) = rd(mult(mult(mult(X2,X0),mult(X0,X1)),rd(X0,mult(X1,X0))),X0),
inference(superposition,[],[f14601,f1228]) ).
fof(f31462,plain,
! [X2,X0,X1] : mult(mult(X2,mult(X0,X1)),rd(X0,mult(X1,X0))) = rd(rd(mult(mult(X2,X0),mult(X0,X1)),X1),X0),
inference(forward_demodulation,[],[f31451,f1247]) ).
fof(f31559,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X1)),X1) = rd(rd(mult(mult(X2,X0),mult(X0,X1)),X1),X0),
inference(forward_demodulation,[],[f31462,f1247]) ).
fof(f35728,plain,
! [X2,X0,X1] : mult(mult(X2,rd(mult(X0,mult(X1,X1)),mult(X0,X1))),mult(X0,X1)) = mult(mult(X0,X1),mult(ld(mult(X0,X1),mult(X2,mult(X0,X1))),X1)),
inference(superposition,[],[f16950,f8825]) ).
fof(f35826,plain,
! [X2,X0,X1] : mult(rd(X1,mult(rd(mult(X0,X2),X0),X0)),rd(mult(X0,X2),X0)) = rd(mult(X0,mult(ld(X0,mult(rd(X1,X0),X0)),X2)),mult(rd(mult(X0,X2),X0),X0)),
inference(superposition,[],[f19638,f16950]) ).
fof(f35935,plain,
! [X2,X0,X1] : mult(rd(X1,mult(X0,X2)),rd(mult(X0,X2),X0)) = rd(mult(X0,mult(ld(X0,mult(rd(X1,X0),X0)),X2)),mult(X0,X2)),
inference(forward_demodulation,[],[f35826,f3]) ).
fof(f36014,plain,
! [X2,X0,X1] : mult(mult(X2,rd(mult(X0,X1),X0)),mult(X0,X1)) = mult(mult(X0,X1),mult(ld(mult(X0,X1),mult(X2,mult(X0,X1))),X1)),
inference(forward_demodulation,[],[f35728,f8869]) ).
fof(f36060,plain,
! [X2,X0,X1] : mult(rd(X1,mult(X0,X2)),rd(mult(X0,X2),X0)) = rd(mult(X0,mult(ld(X0,X1),X2)),mult(X0,X2)),
inference(forward_demodulation,[],[f35935,f3]) ).
fof(f55941,plain,
! [X2,X0,X1] : mult(mult(X0,X2),mult(ld(mult(X0,X2),mult(rd(mult(X1,X2),mult(X0,X2)),mult(X0,X2))),X2)) = mult(rd(mult(mult(X0,mult(ld(X0,X1),ld(X0,mult(X0,X2)))),X2),mult(X0,X2)),mult(X0,X2)),
inference(superposition,[],[f16950,f22210]) ).
fof(f56209,plain,
! [X2,X0,X1] : mult(mult(X0,mult(ld(X0,X1),ld(X0,mult(X0,X2)))),X2) = mult(mult(X0,X2),mult(ld(mult(X0,X2),mult(rd(mult(X1,X2),mult(X0,X2)),mult(X0,X2))),X2)),
inference(forward_demodulation,[],[f55941,f3]) ).
fof(f56608,plain,
! [X2,X0,X1] : mult(mult(X0,mult(ld(X0,X1),ld(X0,mult(X0,X2)))),X2) = mult(mult(rd(mult(X1,X2),mult(X0,X2)),rd(mult(X0,X2),X0)),mult(X0,X2)),
inference(forward_demodulation,[],[f56209,f36014]) ).
fof(f56937,plain,
! [X2,X0,X1] : mult(mult(X0,mult(ld(X0,X1),ld(X0,mult(X0,X2)))),X2) = mult(rd(mult(X0,mult(ld(X0,mult(X1,X2)),X2)),mult(X0,X2)),mult(X0,X2)),
inference(forward_demodulation,[],[f56608,f36060]) ).
fof(f57192,plain,
! [X2,X0,X1] : mult(X0,mult(ld(X0,mult(X1,X2)),X2)) = mult(mult(X0,mult(ld(X0,X1),ld(X0,mult(X0,X2)))),X2),
inference(forward_demodulation,[],[f56937,f3]) ).
fof(f57358,plain,
! [X2,X0,X1] : mult(X0,mult(ld(X0,mult(X1,X2)),X2)) = mult(mult(X0,mult(ld(X0,X1),X2)),X2),
inference(forward_demodulation,[],[f57192,f2]) ).
fof(f57655,plain,
! [X0,X1] : mult(X0,mult(ld(X0,mult(X1,X1)),X1)) = mult(mult(X0,ld(X0,mult(X1,X1))),X1),
inference(superposition,[],[f57358,f8648]) ).
fof(f57809,plain,
! [X2,X0,X1] : mult(X0,mult(ld(X0,mult(X1,i(X2))),i(X2))) = rd(mult(X0,mult(ld(X0,X1),i(X2))),X2),
inference(superposition,[],[f38,f57358]) ).
fof(f57810,plain,
! [X2,X0,X1] : mult(X0,mult(ld(X0,mult(X1,i(X2))),i(X2))) = rd(mult(X0,rd(ld(X0,X1),X2)),X2),
inference(forward_demodulation,[],[f57809,f38]) ).
fof(f57873,plain,
! [X0,X1] : mult(mult(X1,X1),X1) = mult(X0,mult(ld(X0,mult(X1,X1)),X1)),
inference(forward_demodulation,[],[f57655,f1]) ).
fof(f57897,plain,
! [X2,X0,X1] : rd(rd(X0,mult(X2,ld(X1,X0))),X2) = mult(X0,mult(ld(X0,mult(X1,i(X2))),i(X2))),
inference(forward_demodulation,[],[f57810,f5612]) ).
fof(f57942,plain,
! [X0,X1] : mult(mult(X1,X1),X1) = mult(X0,mult(ld(X0,X1),mult(X1,X1))),
inference(forward_demodulation,[],[f57873,f6030]) ).
fof(f57956,plain,
! [X2,X0,X1] : rd(rd(X0,mult(X2,ld(X1,X0))),X2) = mult(X0,rd(ld(X0,mult(X1,i(X2))),X2)),
inference(forward_demodulation,[],[f57897,f38]) ).
fof(f57995,plain,
! [X0,X1] : mult(X1,mult(X1,X1)) = mult(X0,mult(ld(X0,X1),mult(X1,X1))),
inference(forward_demodulation,[],[f57942,f273]) ).
fof(f58004,plain,
! [X2,X0,X1] : rd(rd(X0,mult(X2,ld(X1,X0))),X2) = rd(X0,mult(X2,ld(mult(X1,i(X2)),X0))),
inference(forward_demodulation,[],[f57956,f5612]) ).
fof(f58040,plain,
! [X2,X0,X1] : rd(rd(X0,mult(X2,ld(X1,X0))),X2) = rd(X0,mult(X2,ld(rd(X1,X2),X0))),
inference(forward_demodulation,[],[f58004,f38]) ).
fof(f58062,plain,
! [X2,X0,X1] : rd(rd(X0,mult(X2,ld(X1,X0))),X2) = rd(X0,mult(X2,mult(rd(X2,X1),X0))),
inference(forward_demodulation,[],[f58040,f1940]) ).
fof(f58077,plain,
! [X2,X0,X1] : rd(mult(X1,ld(mult(X1,X2),X0)),mult(X2,ld(mult(X1,X2),X0))) = rd(X0,mult(X2,mult(rd(X2,mult(X1,X2)),X0))),
inference(backward_demodulation,[],[f8380,f58062]) ).
fof(f58082,plain,
! [X2,X0,X1] : rd(X0,mult(X2,ld(X1,X0))) = rd(mult(X1,ld(mult(X1,X2),X0)),mult(X2,ld(mult(X1,X2),X0))),
inference(forward_demodulation,[],[f58077,f1243]) ).
fof(f58175,plain,
! [X2,X0,X1] : ld(mult(X1,ld(X1,X0)),mult(X1,mult(ld(X1,X0),mult(mult(X0,X0),ld(ld(X1,X0),X2))))) = mult(ld(mult(X1,ld(X1,X0)),mult(X0,mult(X0,X0))),ld(mult(X1,ld(X1,X0)),mult(X1,X2))),
inference(superposition,[],[f140,f57995]) ).
fof(f58462,plain,
! [X2,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),mult(mult(X0,X0),ld(ld(X1,X0),X2))))) = mult(ld(X0,mult(X0,mult(X0,X0))),ld(X0,mult(X1,X2))),
inference(forward_demodulation,[],[f58175,f1]) ).
fof(f58649,plain,
! [X2,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),mult(mult(X0,X0),ld(ld(X1,X0),X2))))) = ld(X0,mult(mult(X0,mult(X0,rd(mult(X1,X2),X0))),X0)),
inference(forward_demodulation,[],[f58462,f9723]) ).
fof(f58776,plain,
! [X2,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),mult(mult(X0,X0),ld(ld(X1,X0),X2))))) = ld(X0,mult(X0,mult(mult(X0,rd(mult(X1,X2),X0)),X0))),
inference(forward_demodulation,[],[f58649,f273]) ).
fof(f58862,plain,
! [X2,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),mult(mult(X0,X0),ld(ld(X1,X0),X2))))) = mult(mult(X0,rd(mult(X1,X2),X0)),X0),
inference(forward_demodulation,[],[f58776,f2]) ).
fof(f58926,plain,
! [X2,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),mult(mult(X0,X0),ld(ld(X1,X0),X2))))) = mult(X0,mult(rd(mult(X1,X2),X0),X0)),
inference(forward_demodulation,[],[f58862,f273]) ).
fof(f58979,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = ld(X0,mult(X1,mult(ld(X1,X0),mult(mult(X0,X0),ld(ld(X1,X0),X2))))),
inference(forward_demodulation,[],[f58926,f3]) ).
fof(f59021,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = ld(X0,mult(X1,mult(ld(X1,X0),mult(X0,mult(X0,ld(ld(X1,X0),X2)))))),
inference(forward_demodulation,[],[f58979,f9025]) ).
fof(f59053,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = ld(X0,mult(X1,mult(ld(X1,X0),mult(X0,mult(X0,mult(ld(X0,X1),X2)))))),
inference(forward_demodulation,[],[f59021,f4800]) ).
fof(f75526,plain,
! [X2,X0,X1] : mult(ld(X0,X1),ld(mult(X0,ld(X0,X1)),mult(X2,X0))) = ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,mult(mult(rd(X1,X0),X2),X0)))),
inference(superposition,[],[f6318,f64]) ).
fof(f75580,plain,
! [X2,X0,X1] : mult(X1,ld(mult(i(X0),X1),X2)) = ld(mult(i(X0),X1),ld(X0,mult(X1,ld(i(X0),X2)))),
inference(superposition,[],[f6318,f26]) ).
fof(f75701,plain,
! [X2,X0,X1] : mult(X1,ld(mult(i(X0),X1),X2)) = ld(mult(i(X0),X1),ld(X0,mult(X1,mult(X0,X2)))),
inference(forward_demodulation,[],[f75580,f28]) ).
fof(f75743,plain,
! [X2,X0,X1] : mult(ld(X0,X1),ld(mult(X0,ld(X0,X1)),mult(X2,X0))) = ld(mult(X0,ld(X0,X1)),mult(mult(rd(X1,X0),X2),X0)),
inference(forward_demodulation,[],[f75526,f1]) ).
fof(f75874,plain,
! [X2,X0,X1] : mult(X1,ld(ld(X0,X1),X2)) = ld(ld(X0,X1),ld(X0,mult(X1,mult(X0,X2)))),
inference(forward_demodulation,[],[f75701,f26]) ).
fof(f75905,plain,
! [X2,X0,X1] : mult(ld(X0,X1),ld(X1,mult(X2,X0))) = ld(X1,mult(mult(rd(X1,X0),X2),X0)),
inference(forward_demodulation,[],[f75743,f1]) ).
fof(f75998,plain,
! [X2,X0,X1] : mult(X1,ld(ld(X0,X1),X2)) = mult(ld(X1,X0),ld(X0,mult(X1,mult(X0,X2)))),
inference(forward_demodulation,[],[f75874,f4800]) ).
fof(f76097,plain,
! [X2,X0,X1] : mult(X1,ld(ld(X0,X1),X2)) = ld(X0,mult(X1,mult(ld(X1,X0),mult(X0,X2)))),
inference(forward_demodulation,[],[f75998,f6285]) ).
fof(f76149,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,X0),X2)) = ld(X0,mult(X1,mult(ld(X1,X0),mult(X0,X2)))),
inference(forward_demodulation,[],[f76097,f4800]) ).
fof(f76177,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(X1,mult(ld(X1,X0),mult(X0,mult(ld(X0,X1),X2)))),
inference(backward_demodulation,[],[f59053,f76149]) ).
fof(f77832,plain,
! [X2,X0,X1] : mult(X1,mult(X0,ld(X0,mult(X2,X1)))) = mult(X0,mult(ld(X0,X1),mult(X1,ld(X0,mult(mult(rd(X0,X1),X2),X1))))),
inference(superposition,[],[f76177,f75905]) ).
fof(f78156,plain,
! [X2,X0,X1] : mult(X1,mult(X2,X1)) = mult(X0,mult(ld(X0,X1),mult(X1,ld(X0,mult(mult(rd(X0,X1),X2),X1))))),
inference(forward_demodulation,[],[f77832,f1]) ).
fof(f94583,plain,
! [X2,X3,X0,X1] : rd(mult(mult(rd(X0,X1),X2),X3),mult(X2,X3)) = mult(rd(mult(X2,X3),mult(mult(rd(X1,X0),X2),X3)),rd(mult(mult(unit,X2),X3),mult(X2,X3))),
inference(superposition,[],[f1974,f2000]) ).
fof(f95152,plain,
! [X2,X3,X0,X1] : rd(mult(mult(rd(X0,X1),X2),X3),mult(X2,X3)) = mult(rd(mult(X2,X3),mult(mult(rd(X1,X0),X2),X3)),rd(mult(X2,X3),mult(X2,X3))),
inference(forward_demodulation,[],[f94583,f6]) ).
fof(f95527,plain,
! [X2,X3,X0,X1] : rd(mult(mult(rd(X0,X1),X2),X3),mult(X2,X3)) = rd(mult(X2,X3),mult(mult(rd(X1,X0),X2),X3)),
inference(forward_demodulation,[],[f95152,f633]) ).
fof(f95791,plain,
! [X2,X3,X0,X1] : mult(rd(mult(mult(X1,X3),X2),mult(X3,X2)),rd(X0,mult(X3,X2))) = rd(mult(X3,X2),mult(mult(rd(mult(X3,rd(X2,X0)),X1),X3),X2)),
inference(backward_demodulation,[],[f8052,f95527]) ).
fof(f97347,plain,
! [X2,X0,X1] : mult(rd(mult(mult(X0,X0),X1),mult(X0,X1)),rd(X2,mult(X0,X1))) = rd(mult(X0,X1),mult(mult(X0,rd(X1,X2)),X1)),
inference(superposition,[],[f95791,f3]) ).
fof(f97456,plain,
! [X2,X0,X1] : rd(mult(X0,X1),mult(mult(X0,rd(X1,X2)),X1)) = mult(rd(mult(X0,mult(X0,X1)),mult(X0,X1)),rd(X2,mult(X0,X1))),
inference(forward_demodulation,[],[f97347,f9025]) ).
fof(f97642,plain,
! [X2,X0,X1] : mult(X0,rd(X2,mult(X0,X1))) = rd(mult(X0,X1),mult(mult(X0,rd(X1,X2)),X1)),
inference(forward_demodulation,[],[f97456,f4]) ).
fof(f98640,plain,
! [X2,X0,X1] : mult(X1,rd(X2,mult(X1,mult(X0,X2)))) = rd(mult(X1,mult(X0,X2)),mult(mult(X1,X0),mult(X0,X2))),
inference(superposition,[],[f97642,f4]) ).
fof(f99395,plain,
! [X2,X0,X1] : mult(rd(X0,mult(X1,X2)),rd(X2,X0)) = rd(X0,mult(mult(rd(X0,mult(X1,X2)),X1),mult(X1,X2))),
inference(superposition,[],[f98640,f3]) ).
fof(f99816,plain,
! [X2,X0,X1] : mult(rd(X0,mult(X1,X2)),rd(X2,X0)) = rd(X0,mult(mult(rd(X0,X2),X1),X2)),
inference(forward_demodulation,[],[f99395,f22597]) ).
fof(f100383,plain,
! [X2,X0,X1] : rd(mult(X2,ld(mult(X2,X1),X0)),mult(mult(rd(mult(X2,ld(mult(X2,X1),X0)),ld(mult(X2,X1),X0)),X1),ld(mult(X2,X1),X0))) = mult(rd(X0,mult(X1,ld(X2,X0))),rd(ld(mult(X2,X1),X0),mult(X2,ld(mult(X2,X1),X0)))),
inference(superposition,[],[f99816,f58082]) ).
fof(f100426,plain,
! [X2,X0,X1] : rd(X1,mult(mult(rd(X1,ld(X0,X1)),X2),ld(X0,X1))) = mult(rd(X1,mult(X2,ld(X0,X1))),i(X0)),
inference(superposition,[],[f99816,f444]) ).
fof(f100771,plain,
! [X2,X0,X1] : rd(X1,mult(mult(rd(X1,ld(X0,X1)),X2),ld(X0,X1))) = rd(rd(X1,mult(X2,ld(X0,X1))),X0),
inference(forward_demodulation,[],[f100426,f38]) ).
fof(f100807,plain,
! [X2,X0,X1] : rd(mult(X2,ld(mult(X2,X1),X0)),mult(mult(rd(mult(X2,ld(mult(X2,X1),X0)),ld(mult(X2,X1),X0)),X1),ld(mult(X2,X1),X0))) = rd(rd(X0,mult(X1,ld(X2,X0))),X2),
inference(forward_demodulation,[],[f100383,f1247]) ).
fof(f101041,plain,
! [X2,X0,X1] : rd(rd(X1,mult(X2,ld(X0,X1))),X0) = rd(X1,mult(mult(mult(X1,ld(X1,X0)),X2),ld(X0,X1))),
inference(forward_demodulation,[],[f100771,f4799]) ).
fof(f101068,plain,
! [X2,X0,X1] : rd(rd(X0,mult(X1,ld(X2,X0))),X2) = rd(mult(X2,ld(mult(X2,X1),X0)),mult(mult(X2,X1),ld(mult(X2,X1),X0))),
inference(forward_demodulation,[],[f100807,f4]) ).
fof(f101229,plain,
! [X2,X0,X1] : rd(X1,mult(mult(X0,X2),ld(X0,X1))) = rd(rd(X1,mult(X2,ld(X0,X1))),X0),
inference(forward_demodulation,[],[f101041,f1]) ).
fof(f101249,plain,
! [X2,X0,X1] : rd(rd(X0,mult(X1,ld(X2,X0))),X2) = rd(mult(X2,ld(mult(X2,X1),X0)),X0),
inference(forward_demodulation,[],[f101068,f1]) ).
fof(f101386,plain,
! [X2,X0,X1] : rd(X0,mult(mult(X2,X1),ld(X2,X0))) = rd(mult(X2,ld(mult(X2,X1),X0)),X0),
inference(forward_demodulation,[],[f101249,f101229]) ).
fof(f103244,plain,
! [X2,X0,X1] : rd(X2,mult(ld(X0,X1),ld(X1,X2))) = rd(mult(X1,ld(ld(X0,X1),X2)),X2),
inference(superposition,[],[f101386,f1151]) ).
fof(f103606,plain,
! [X2,X0,X1] : rd(X2,mult(ld(X0,X1),ld(X1,X2))) = rd(mult(X1,mult(ld(X1,X0),X2)),X2),
inference(forward_demodulation,[],[f103244,f4800]) ).
fof(f104027,plain,
! [X2,X0,X1] : ld(X1,mult(X2,mult(ld(X2,X1),X0))) = rd(mult(X1,mult(ld(X1,X0),X2)),X2),
inference(forward_demodulation,[],[f103606,f6631]) ).
fof(f104266,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,X0),X2)) = rd(mult(X0,mult(ld(X0,mult(X0,X2)),X1)),X1),
inference(backward_demodulation,[],[f76149,f104027]) ).
fof(f104442,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,X0),X2)) = rd(mult(X0,mult(X2,X1)),X1),
inference(forward_demodulation,[],[f104266,f2]) ).
fof(f105311,plain,
! [X2,X0,X1] : mult(X1,mult(X2,X1)) = rd(mult(X1,mult(mult(X1,ld(X0,mult(mult(rd(X0,X1),X2),X1))),X0)),X0),
inference(backward_demodulation,[],[f78156,f104442]) ).
fof(f108467,plain,
! [X2,X0,X1] : mult(X1,ld(X0,mult(mult(rd(X0,X1),X2),X1))) = rd(mult(X0,mult(ld(X0,mult(X2,X1)),X1)),X1),
inference(superposition,[],[f104442,f75905]) ).
fof(f108809,plain,
! [X2,X0,X1] : mult(X1,ld(X0,mult(mult(rd(X0,X1),X2),X1))) = rd(rd(mult(mult(X2,X1),mult(X1,X0)),X0),X1),
inference(forward_demodulation,[],[f108467,f104442]) ).
fof(f109032,plain,
! [X2,X0,X1] : mult(X1,ld(X0,mult(mult(rd(X0,X1),X2),X1))) = rd(mult(X2,mult(X1,X0)),X0),
inference(forward_demodulation,[],[f108809,f31559]) ).
fof(f109482,plain,
! [X2,X0,X1] : mult(X1,mult(X2,X1)) = rd(mult(X1,mult(rd(mult(X2,mult(X1,X0)),X0),X0)),X0),
inference(backward_demodulation,[],[f105311,f109032]) ).
fof(f110337,plain,
! [X2,X0,X1] : mult(X1,mult(X2,X1)) = rd(mult(X1,mult(X2,mult(X1,X0))),X0),
inference(forward_demodulation,[],[f109482,f3]) ).
fof(f127469,plain,
! [X2,X0,X1] : mult(X1,mult(X2,X1)) = rd(mult(X1,mult(X2,X0)),ld(X1,X0)),
inference(superposition,[],[f110337,f1]) ).
fof(f128133,plain,
! [X2,X0,X1] : mult(X1,mult(X2,X1)) = mult(mult(X1,mult(X2,X0)),ld(X0,X1)),
inference(forward_demodulation,[],[f127469,f4799]) ).
fof(f128876,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X0,X2),X1)) = mult(mult(X1,X0),ld(X2,X1)),
inference(superposition,[],[f128133,f3]) ).
fof(f130237,plain,
! [X2,X0,X1] : mult(mult(X1,X2),mult(X0,X1)) = mult(X1,mult(rd(X2,i(X0)),X1)),
inference(superposition,[],[f128876,f28]) ).
fof(f130418,plain,
! [X2,X0,X1] : mult(X1,mult(mult(X2,X0),X1)) = mult(mult(X1,X2),mult(X0,X1)),
inference(forward_demodulation,[],[f130237,f41]) ).
fof(f132638,plain,
( ! [X0] : mult(sF0,mult(X0,a)) = mult(a,mult(mult(b,X0),a))
| ~ spl6_4 ),
inference(superposition,[],[f130418,f100]) ).
fof(f162121,plain,
( mult(a,mult(sF3,a)) = mult(sF0,mult(c,a))
| ~ spl6_4
| ~ spl6_5 ),
inference(superposition,[],[f132638,f107]) ).
fof(f162279,plain,
( mult(sF0,sF1) = mult(a,mult(sF3,a))
| ~ spl6_4
| ~ spl6_5
| ~ spl6_6 ),
inference(forward_demodulation,[],[f162121,f114]) ).
fof(f162305,plain,
( mult(sF0,sF1) = mult(a,sF4)
| ~ spl6_4
| ~ spl6_5
| ~ spl6_6
| ~ spl6_7 ),
inference(forward_demodulation,[],[f162279,f200]) ).
fof(f162317,plain,
( mult(sF0,sF1) = sF5
| ~ spl6_1
| ~ spl6_4
| ~ spl6_5
| ~ spl6_6
| ~ spl6_7 ),
inference(forward_demodulation,[],[f162305,f34]) ).
fof(f162323,plain,
( sF2 = sF5
| ~ spl6_1
| ~ spl6_2
| ~ spl6_4
| ~ spl6_5
| ~ spl6_6
| ~ spl6_7 ),
inference(forward_demodulation,[],[f162317,f87]) ).
fof(f162325,plain,
( $false
| ~ spl6_1
| ~ spl6_2
| spl6_3
| ~ spl6_4
| ~ spl6_5
| ~ spl6_6
| ~ spl6_7 ),
inference(forward_subsumption_resolution,[],[f162323,f95]) ).
fof(f162326,plain,
( ~ spl6_1
| ~ spl6_2
| spl6_3
| ~ spl6_4
| ~ spl6_5
| ~ spl6_6
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f162325]) ).
cnf(s1,plain,
spl6_1,
inference(sat_conversion,[],[f35]) ).
cnf(s2,plain,
spl6_2,
inference(sat_conversion,[],[f88]) ).
cnf(s3,plain,
~ spl6_3,
inference(sat_conversion,[],[f96]) ).
cnf(s4,plain,
spl6_4,
inference(sat_conversion,[],[f101]) ).
cnf(s5,plain,
spl6_5,
inference(sat_conversion,[],[f108]) ).
cnf(s6,plain,
spl6_6,
inference(sat_conversion,[],[f115]) ).
cnf(s7,plain,
spl6_7,
inference(sat_conversion,[],[f201]) ).
cnf(s51,plain,
( ~ spl6_1
| ~ spl6_2
| spl6_3
| ~ spl6_4
| ~ spl6_5
| ~ spl6_6
| ~ spl6_7 ),
inference(sat_conversion,[],[f162326]) ).
cnf(s79,plain,
~ spl6_1,
inference(rat,[],[s51,s7,s6,s5,s4,s3,s2]) ).
cnf(s82,plain,
$false,
inference(rat,[],[s1,s79]) ).
fof(f162327,plain,
$false,
inference(avatar_sat_refutation,[],[s82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP666-5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n012.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:33:19 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 69.43/10.85 % (2178679)Detected a unit-equality problem, will run specialized UEQ schedule.
% 69.43/10.85 % (2178686)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3736752575:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 69.43/10.85 % (2178684)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=2864005749:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 69.43/10.85 % (2178685)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4126164541:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 69.43/10.85 % (2178688)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=86580551:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 69.43/10.85 % (2178687)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1449019954:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 69.43/10.85 % (2178689)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=648197022:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 69.43/10.85 % (2178690)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1724464609:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 69.43/10.85 % (2178687)Instruction limit reached!
% 69.43/10.85 % (2178687)------------------------------
% 69.43/10.85 % (2178687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.43/10.85 % (2178687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.43/10.85 % (2178687)CaDiCaL version: 2.1.3
% 69.43/10.85 % (2178687)Termination reason: Instruction limit
% 69.43/10.85 % (2178687)Termination phase: Saturation
% 69.43/10.85 % (2178687)Time elapsed: 0.069 s
% 69.43/10.85 % (2178687)Peak memory usage: 89 MB
% 69.43/10.85 % (2178687)Instructions burned: 136 (million)
% 69.43/10.85 % (2178688)Instruction limit reached!
% 69.43/10.85 % (2178688)------------------------------
% 69.43/10.85 % (2178688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.43/10.85 % (2178688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.43/10.85 % (2178688)CaDiCaL version: 2.1.3
% 69.43/10.85 % (2178688)Termination reason: Instruction limit
% 69.43/10.85 % (2178688)Termination phase: Saturation
% 69.43/10.85 % (2178688)Time elapsed: 0.087 s
% 69.43/10.85 % (2178688)Peak memory usage: 89 MB
% 69.43/10.85 % (2178688)Instructions burned: 182 (million)
% 69.43/10.85 % (2178689)Instruction limit reached!
% 69.43/10.85 % (2178689)------------------------------
% 69.43/10.85 % (2178689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.43/10.85 % (2178689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.43/10.85 % (2178689)CaDiCaL version: 2.1.3
% 69.43/10.85 % (2178689)Termination reason: Instruction limit
% 69.43/10.85 % (2178689)Termination phase: Saturation
% 69.43/10.85 % (2178689)Time elapsed: 0.130 s
% 69.43/10.85 % (2178689)Peak memory usage: 90 MB
% 69.43/10.85 % (2178689)Instructions burned: 257 (million)
% 69.43/10.85 % (2178699)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=126189715:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 69.43/10.85 % (2178698)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2081254288:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 69.43/10.85 % (2178700)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3337381033:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 69.43/10.85 % (2178700)Instruction limit reached!
% 69.43/10.85 % (2178700)------------------------------
% 69.43/10.85 % (2178700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.43/10.85 % (2178700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.43/10.85 % (2178700)CaDiCaL version: 2.1.3
% 69.43/10.85 % (2178700)Termination reason: Instruction limit
% 69.43/10.85 % (2178700)Termination phase: Saturation
% 69.43/10.85 % (2178700)Time elapsed: 0.099 s
% 104.67/15.66 % (2178700)Peak memory usage: 90 MB
% 104.67/15.66 % (2178700)Instructions burned: 217 (million)
% 104.67/15.66 % (2178690)Instruction limit reached!
% 104.67/15.66 % (2178690)------------------------------
% 104.67/15.66 % (2178690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.67/15.66 % (2178690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.67/15.66 % (2178690)CaDiCaL version: 2.1.3
% 104.67/15.66 % (2178690)Termination reason: Instruction limit
% 104.67/15.66 % (2178690)Termination phase: Saturation
% 104.67/15.66 % (2178690)Time elapsed: 0.536 s
% 104.67/15.66 % (2178690)Peak memory usage: 100 MB
% 104.67/15.66 % (2178690)Instructions burned: 1187 (million)
% 104.67/15.66 % (2178713)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=1683834433:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 104.67/15.66 % (2178722)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1130330840:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 104.67/15.66 % (2178713)Instruction limit reached!
% 104.67/15.66 % (2178713)------------------------------
% 104.67/15.66 % (2178713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.67/15.66 % (2178713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.67/15.66 % (2178713)CaDiCaL version: 2.1.3
% 104.67/15.66 % (2178713)Termination reason: Instruction limit
% 104.67/15.66 % (2178713)Termination phase: Saturation
% 104.67/15.66 % (2178713)Time elapsed: 0.156 s
% 104.67/15.66 % (2178713)Peak memory usage: 94 MB
% 104.67/15.66 % (2178713)Instructions burned: 319 (million)
% 104.67/15.66 % (2178725)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1202861893:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2989 on theBenchmark for (2989ds/2836Mi)
% 104.67/15.66 % (2178698)Instruction limit reached!
% 104.67/15.66 % (2178698)------------------------------
% 104.67/15.66 % (2178698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.67/15.66 % (2178698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.67/15.66 % (2178698)CaDiCaL version: 2.1.3
% 104.67/15.66 % (2178698)Termination reason: Instruction limit
% 104.67/15.66 % (2178698)Termination phase: Saturation
% 104.67/15.66 % (2178698)Time elapsed: 1.164 s
% 104.67/15.66 % (2178698)Peak memory usage: 139 MB
% 104.67/15.66 % (2178698)Instructions burned: 2051 (million)
% 104.67/15.66 % (2178727)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2054841870:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2982 on theBenchmark for (2982ds/14534Mi)
% 104.67/15.66 % (2178725)Instruction limit reached!
% 104.67/15.66 % (2178725)------------------------------
% 104.67/15.66 % (2178725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.67/15.66 % (2178725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.67/15.66 % (2178725)CaDiCaL version: 2.1.3
% 104.67/15.66 % (2178725)Termination reason: Instruction limit
% 104.67/15.66 % (2178725)Termination phase: Saturation
% 104.67/15.66 % (2178725)Time elapsed: 1.554 s
% 104.67/15.66 % (2178725)Peak memory usage: 131 MB
% 104.67/15.66 % (2178725)Instructions burned: 2837 (million)
% 104.67/15.66 % (2178729)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=3054191417:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2971 on theBenchmark for (2971ds/11832Mi)
% 104.67/15.66 % (2178699)Instruction limit reached!
% 104.67/15.66 % (2178699)------------------------------
% 104.67/15.66 % (2178699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 104.67/15.66 % (2178699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.67/15.66 % (2178699)CaDiCaL version: 2.1.3
% 104.67/15.66 % (2178699)Termination reason: Instruction limit
% 104.67/15.66 % (2178699)Termination phase: Saturation
% 104.67/15.66 % (2178699)Time elapsed: 2.728 s
% 104.67/15.66 % (2178699)Peak memory usage: 166 MB
% 104.67/15.66 % (2178699)Instructions burned: 4949 (million)
% 104.67/15.66 % (2178731)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=1662936612:i=2279:fgj=on:bd=all_2967 on theBenchmark for (2967ds/2279Mi)
% 104.67/15.66 % (2178731)Instruction limit reached!
% 104.67/15.66 % (2178731)------------------------------
% 107.59/24.02 % (2178731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.59/24.02 % (2178731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.59/24.02 % (2178731)CaDiCaL version: 2.1.3
% 107.59/24.02 % (2178731)Termination reason: Instruction limit
% 107.59/24.02 % (2178731)Termination phase: Saturation
% 107.59/24.02 % (2178731)Time elapsed: 1.226 s
% 107.59/24.02 % (2178731)Peak memory usage: 139 MB
% 107.59/24.02 % (2178731)Instructions burned: 2280 (million)
% 107.59/24.02 % (2178733)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=1231985315:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2952 on theBenchmark for (2952ds/6225Mi)
% 107.59/24.02 % (2178733)Instruction limit reached!
% 107.59/24.02 % (2178733)------------------------------
% 107.59/24.02 % (2178733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.59/24.02 % (2178733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.59/24.02 % (2178733)CaDiCaL version: 2.1.3
% 107.59/24.02 % (2178733)Termination reason: Instruction limit
% 107.59/24.02 % (2178733)Termination phase: Saturation
% 107.59/24.02 % (2178733)Time elapsed: 2.360 s
% 107.59/24.02 % (2178733)Peak memory usage: 143 MB
% 107.59/24.02 % (2178733)Instructions burned: 6227 (million)
% 107.59/24.02 % (2178740)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=854198226:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2926 on theBenchmark for (2926ds/21755Mi)
% 107.59/24.02 % (2178722)Instruction limit reached!
% 107.59/24.02 % (2178722)------------------------------
% 107.59/24.02 % (2178722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.59/24.02 % (2178722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.59/24.02 % (2178722)CaDiCaL version: 2.1.3
% 107.59/24.02 % (2178722)Termination reason: Instruction limit
% 107.59/24.02 % (2178722)Termination phase: Saturation
% 107.59/24.02 % (2178722)Time elapsed: 6.843 s
% 107.59/24.02 % (2178722)Peak memory usage: 244 MB
% 107.59/24.02 % (2178722)Instructions burned: 12127 (million)
% 107.59/24.02 % (2178742)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=2177763053:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2921 on theBenchmark for (2921ds/16427Mi)
% 107.59/24.02 % (2178727)Instruction limit reached!
% 107.59/24.02 % (2178727)------------------------------
% 107.59/24.02 % (2178727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.59/24.02 % (2178727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.59/24.02 % (2178727)CaDiCaL version: 2.1.3
% 107.59/24.02 % (2178727)Termination reason: Instruction limit
% 107.59/24.02 % (2178727)Termination phase: Saturation
% 107.59/24.02 % (2178727)Time elapsed: 7.315 s
% 107.59/24.02 % (2178727)Peak memory usage: 245 MB
% 107.59/24.02 % (2178727)Instructions burned: 14536 (million)
% 107.59/24.02 % (2178729)Instruction limit reached!
% 107.59/24.02 % (2178729)------------------------------
% 107.59/24.02 % (2178729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.59/24.02 % (2178729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.59/24.02 % (2178729)CaDiCaL version: 2.1.3
% 107.59/24.02 % (2178729)Termination reason: Instruction limit
% 107.59/24.02 % (2178729)Termination phase: Saturation
% 107.59/24.02 % (2178729)Time elapsed: 6.151 s
% 107.59/24.02 % (2178729)Peak memory usage: 226 MB
% 107.59/24.02 % (2178729)Instructions burned: 11833 (million)
% 107.59/24.02 % (2178897)lrs+1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:drc=off:fde=none:sp=const_frequency:spb=goal:fd=preordered:random_seed=1534633786:i=9356:fgj=on:bd=preordered:av=off_2907 on theBenchmark for (2907ds/9356Mi)
% 107.59/24.02 % (2178898)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=3720888907:i=2070:kws=inv_precedence:slsql=off:bd=all_2907 on theBenchmark for (2907ds/2070Mi)
% 107.59/24.02 % (2178898)Instruction limit reached!
% 107.59/24.02 % (2178898)------------------------------
% 107.59/24.02 % (2178898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.59/24.02 % (2178898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.59/24.02 % (2178898)CaDiCaL version: 2.1.3
% 107.59/24.02 % (2178898)Termination reason: Instruction limit
% 107.59/24.02 % (2178898)Termination phase: Saturation
% 107.59/24.02 % (2178898)Time elapsed: 0.641 s
% 107.59/24.02 % (2178898)Peak memory usage: 121 MB
% 107.59/24.02 % (2178898)Instructions burned: 2070 (million)
% 107.59/24.02 % (2178901)lrs+1002_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=8000:tgt=ground:npcc=on:fde=unused:sp=const_min:urr=ec_only:s2agt=32:random_seed=566208306:st=3:i=6461:fgj=on:bd=preordered:av=off:ss=axioms_2899 on theBenchmark for (2899ds/6461Mi)
% 107.59/24.02 % (2178901)Instruction limit reached!
% 107.59/24.02 % (2178901)------------------------------
% 107.59/24.02 % (2178901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.59/24.02 % (2178901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.59/24.02 % (2178901)CaDiCaL version: 2.1.3
% 107.59/24.02 % (2178901)Termination reason: Instruction limit
% 107.59/24.02 % (2178901)Termination phase: Saturation
% 107.59/24.02 % (2178901)Time elapsed: 2.012 s
% 107.59/24.02 % (2178901)Peak memory usage: 177 MB
% 107.59/24.02 % (2178901)Instructions burned: 6461 (million)
% 107.59/24.02 % (2178903)lrs+10_6_to=lpo:lpd=off:sil=8000:tgt=ground:drc=off:sp=arity:spb=goal:fd=preordered:random_seed=1890973007:i=2310:bd=all:ss=included_2877 on theBenchmark for (2877ds/2310Mi)
% 107.59/24.02 % (2178897)Instruction limit reached!
% 107.59/24.02 % (2178897)------------------------------
% 107.59/24.02 % (2178897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.59/24.02 % (2178897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.59/24.02 % (2178897)CaDiCaL version: 2.1.3
% 107.59/24.02 % (2178897)Termination reason: Instruction limit
% 107.59/24.02 % (2178897)Termination phase: Saturation
% 107.59/24.02 % (2178897)Time elapsed: 3.161 s
% 107.59/24.02 % (2178897)Peak memory usage: 198 MB
% 107.59/24.02 % (2178897)Instructions burned: 9356 (million)
% 107.59/24.02 % (2178905)dis+11_1_sil=8000:fd=off:nwc=20:random_seed=2454044270:st=3:s2pl=on:i=2616:av=off:fsr=off:ss=axioms:sgt=8_2874 on theBenchmark for (2874ds/2616Mi)
% 107.59/24.02 % (2178903)Instruction limit reached!
% 107.59/24.02 % (2178903)------------------------------
% 107.59/24.02 % (2178903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.59/24.02 % (2178903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.59/24.02 % (2178903)CaDiCaL version: 2.1.3
% 107.59/24.02 % (2178903)Termination reason: Instruction limit
% 107.59/24.02 % (2178903)Termination phase: Saturation
% 107.59/24.02 % (2178903)Time elapsed: 0.763 s
% 107.59/24.02 % (2178903)Peak memory usage: 99 MB
% 107.59/24.02 % (2178903)Instructions burned: 2310 (million)
% 107.59/24.02 % (2178907)lrs+0_1_ncem=casc2026/models/loop3.pt:sil=32000:tgt=ground:npcc=on:sp=occurrence:urr=ec_only:fd=preordered:random_seed=3272732056:i=30521:gtgl=2:kws=inv_arity:bd=all:gtg=exists_sym_2868 on theBenchmark for (2868ds/30521Mi)
% 107.59/24.02 % (2178905)Instruction limit reached!
% 107.59/24.02 % (2178905)------------------------------
% 107.59/24.02 % (2178905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.59/24.02 % (2178905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.59/24.02 % (2178905)CaDiCaL version: 2.1.3
% 107.59/24.02 % (2178905)Termination reason: Instruction limit
% 107.59/24.02 % (2178905)Termination phase: Saturation
% 107.59/24.02 % (2178905)Time elapsed: 0.865 s
% 107.59/24.02 % (2178905)Peak memory usage: 123 MB
% 107.59/24.02 % (2178905)Instructions burned: 2619 (million)
% 107.59/24.02 % (2179006)lrs+11_1_to=lpo:ncem=casc2026/models/loop4.pt:sil=16000:tgt=full:npcc=on:prc=on:fde=unused:sp=reverse_frequency:spb=goal:acc=on:urr=ec_only:s2agt=32:random_seed=3075768942:i=3258:fgj=on:bd=all:ins=1_2864 on theBenchmark for (2864ds/3258Mi)
% 107.59/24.02 % (2178742)Instruction limit reached!
% 107.59/24.02 % (2178742)------------------------------
% 107.59/24.02 % (2178742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.59/24.02 % (2178742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.59/24.02 % (2178742)CaDiCaL version: 2.1.3
% 107.59/24.02 % (2178742)Termination reason: Instruction limit
% 107.59/24.02 % (2178742)Termination phase: Saturation
% 107.59/24.02 % (2178742)Time elapsed: 5.688 s
% 107.59/24.02 % (2178742)Peak memory usage: 251 MB
% 107.59/24.02 % (2178742)Instructions burned: 16427 (million)
% 107.59/24.02 % (2179043)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:sp=reverse_frequency:kmz=on:random_seed=2500660180:i=5037:kws=precedence_2861 on theBenchmark for (2861ds/5037Mi)
% 107.59/24.02 % (2179006)Instruction limit reached!
% 107.59/24.02 % (2179006)------------------------------
% 107.59/24.02 % (2179006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.59/24.02 % (2179006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.59/24.02 % (2179006)CaDiCaL version: 2.1.3
% 107.59/24.02 % (2179006)Termination reason: Instruction limit
% 107.59/24.02 % (2179006)Termination phase: Saturation
% 107.59/24.02 % (2179006)Time elapsed: 1.139 s
% 107.59/24.02 % (2179006)Peak memory usage: 144 MB
% 107.59/24.02 % (2179006)Instructions burned: 3259 (million)
% 107.59/24.02 % (2179185)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:acc=on:urr=on:bsr=unit_only:br=off:random_seed=3545212693:i=65240_2851 on theBenchmark for (2851ds/65240Mi)
% 107.59/24.02 % (2179043)Instruction limit reached!
% 107.59/24.02 % (2179043)------------------------------
% 107.59/24.02 % (2179043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.59/24.02 % (2179043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.59/24.02 % (2179043)CaDiCaL version: 2.1.3
% 107.59/24.02 % (2179043)Termination reason: Instruction limit
% 107.59/24.02 % (2179043)Termination phase: Saturation
% 107.59/24.02 % (2179043)Time elapsed: 2.303 s
% 107.59/24.02 % (2179043)Peak memory usage: 169 MB
% 107.59/24.02 % (2179043)Instructions burned: 5039 (million)
% 107.59/24.02 % (2179205)lrs-1011_1_ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:fde=unused:sp=weighted_frequency:urr=ec_only:random_seed=1558964939:i=16502:kws=inv_precedence:fgj=on:bd=preordered:ins=3:av=off_2837 on theBenchmark for (2837ds/16502Mi)
% 107.59/24.02 % (2178740)Instruction limit reached!
% 107.59/24.02 % (2178740)------------------------------
% 107.59/24.02 % (2178740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.59/24.02 % (2178740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.59/24.02 % (2178740)CaDiCaL version: 2.1.3
% 107.59/24.02 % (2178740)Termination reason: Instruction limit
% 107.59/24.02 % (2178740)Termination phase: Saturation
% 107.59/24.02 % (2178740)Time elapsed: 10.073 s
% 107.59/24.02 % (2178740)Peak memory usage: 225 MB
% 107.59/24.02 % (2178740)Instructions burned: 21755 (million)
% 107.59/24.02 % (2179215)lrs-1011_1_to=lpo:ncem=casc2026/models/loop2.pt:sil=32000:npcc=on:drc=off:sp=const_max:spb=goal_then_units:urr=ec_only:fd=preordered:random_seed=1353496517:i=7623:bd=preordered:er=filter_2823 on theBenchmark for (2823ds/7623Mi)
% 107.59/24.02 % (2179215)Instruction limit reached!
% 107.59/24.02 % (2179215)------------------------------
% 107.59/24.02 % (2179215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 107.59/24.02 % (2179215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.59/24.02 % (2179215)CaDiCaL version: 2.1.3
% 107.59/24.02 % (2179215)Termination reason: Instruction limit
% 107.59/24.02 % (2179215)Termination phase: Saturation
% 107.59/24.02 % (2179215)Time elapsed: 4.090 s
% 107.59/24.02 % (2179215)Peak memory usage: 180 MB
% 107.59/24.02 % (2179215)Instructions burned: 7624 (million)
% 107.59/24.02 % (2179227)dis+1010_1_anc=none:ncem=casc2026/models/loop3.pt:sil=16000:tgt=full:npcc=on:sp=const_min:spb=non_intro:lcm=predicate:acc=on:urr=ec_only:rp=on:gs=on:random_seed=1265149524:i=8183:kws=frequency:add=off:gsp=on_2780 on theBenchmark for (2780ds/8183Mi)
% 107.59/24.02 % (2178684)First to succeed.
% 107.59/24.02 % (2178684)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2178679"
% 107.59/24.02 % (2178684)Refutation found. Thanks to Tanya!
% 107.59/24.02 % SZS status Unsatisfiable for theBenchmark
% 107.59/24.02 % SZS output start Proof for theBenchmark
% See solution above
% 163.98/24.20 % (2178684)------------------------------
% 163.98/24.20 % (2178684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 163.98/24.20 % (2178684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 163.98/24.20 % (2178684)CaDiCaL version: 2.1.3
% 163.98/24.20 % (2178684)Termination reason: Refutation
% 163.98/24.20 % (2178684)Time elapsed: 22.607 s
% 163.98/24.20 % (2178684)Peak memory usage: 415 MB
% 163.98/24.20 % (2178684)Instructions burned: 43373 (million)
% 163.98/24.20 % (2178684)------------------------------
% 163.98/24.20 % (2178684)------------------------------
% 163.98/24.20 % (2178679)Success in time 23.223 s
% 163.98/24.20 % Vampire exiting
%------------------------------------------------------------------------------