%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP666-2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 73.45s 19.52s
% Output : Refutation 132.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 88
% Number of leaves : 28
% Syntax : Number of formulae : 353 ( 310 unt; 16 def)
% Number of atoms : 429 ( 324 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 146 ( 70 ~; 66 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 11 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 745 ( 0 sgn 745 !; 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(a,mult(b,mult(a,c))) != mult(mult(mult(a,b),a),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f13,definition,
sF0 = mult(a,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f14,plain,
mult(a,c) = sF0,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF1 = mult(b,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f16,plain,
mult(b,sF0) = sF1,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF2 = mult(a,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f18,plain,
mult(a,sF1) = sF2,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF3 = mult(a,b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f20,plain,
mult(a,b) = 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(sF4,c),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f24,plain,
mult(sF4,c) = 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(f33,definition,
( spl6_1
<=> mult(a,sF1) = sF2 ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f35,plain,
( mult(a,sF1) = sF2
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f36,plain,
spl6_1,
inference(avatar_split_clause,[],[f18,f33]) ).
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(sF4,c) = sF5 ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f87,plain,
( mult(sF4,c) = sF5
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
spl6_2,
inference(avatar_split_clause,[],[f24,f85]) ).
fof(f95,definition,
( spl6_3
<=> sF2 = sF5 ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f97,plain,
( sF2 != sF5
| spl6_3 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
~ spl6_3,
inference(avatar_split_clause,[],[f25,f95]) ).
fof(f100,definition,
( spl6_4
<=> mult(a,c) = sF0 ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f102,plain,
( mult(a,c) = sF0
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
spl6_4,
inference(avatar_split_clause,[],[f14,f100]) ).
fof(f105,plain,
( c = ld(a,sF0)
| ~ spl6_4 ),
inference(superposition,[],[f2,f102]) ).
fof(f107,definition,
( spl6_5
<=> mult(a,b) = sF3 ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f109,plain,
( mult(a,b) = sF3
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,plain,
spl6_5,
inference(avatar_split_clause,[],[f20,f107]) ).
fof(f112,plain,
( b = ld(a,sF3)
| ~ spl6_5 ),
inference(superposition,[],[f2,f109]) ).
fof(f114,definition,
( spl6_6
<=> mult(b,sF0) = sF1 ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f116,plain,
( mult(b,sF0) = sF1
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,plain,
spl6_6,
inference(avatar_split_clause,[],[f16,f114]) ).
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(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(f202,plain,
( sF3 = rd(sF4,a)
| ~ spl6_7 ),
inference(superposition,[],[f4,f200]) ).
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(f394,plain,
! [X2,X0,X1] : ld(mult(X0,X1),X0) = ld(mult(X2,X1),X2),
inference(superposition,[],[f40,f40]) ).
fof(f395,plain,
! [X0,X1] : ld(X0,X1) = i(ld(X1,X0)),
inference(superposition,[],[f40,f1]) ).
fof(f396,plain,
! [X0] : ld(X0,X0) = i(unit),
inference(superposition,[],[f40,f5]) ).
fof(f400,plain,
! [X0] : i(X0) = ld(X0,unit),
inference(superposition,[],[f40,f6]) ).
fof(f412,plain,
! [X0] : rd(X0,X0) = i(unit),
inference(forward_demodulation,[],[f396,f325]) ).
fof(f446,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(f453,plain,
! [X0,X1] : mult(ld(X0,X1),mult(X0,ld(X0,X1))) = ld(X0,mult(mult(X1,rd(X1,X0)),X0)),
inference(forward_demodulation,[],[f446,f69]) ).
fof(f463,plain,
! [X0,X1] : mult(ld(X0,X1),X1) = ld(X0,mult(mult(X1,rd(X1,X0)),X0)),
inference(forward_demodulation,[],[f453,f1]) ).
fof(f469,plain,
! [X2,X0,X1] : ld(X1,X2) = mult(ld(mult(X0,X1),X0),X2),
inference(superposition,[],[f26,f40]) ).
fof(f477,plain,
! [X0,X1] : i(X0) = rd(ld(X0,X1),X1),
inference(superposition,[],[f4,f26]) ).
fof(f505,plain,
! [X0,X1] : i(mult(X1,X0)) = rd(i(X0),X1),
inference(superposition,[],[f477,f40]) ).
fof(f577,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(f587,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(f588,plain,
! [X0,X1] : ld(X0,mult(mult(rd(X1,X0),unit),X0)) = mult(ld(X0,X1),ld(X0,X0)),
inference(superposition,[],[f64,f6]) ).
fof(f610,plain,
! [X0,X1] : ld(X0,mult(mult(rd(X1,X0),unit),X0)) = mult(ld(X0,X1),rd(X0,X0)),
inference(forward_demodulation,[],[f588,f325]) ).
fof(f619,plain,
! [X0,X1] : ld(X0,mult(rd(X1,X0),X0)) = mult(ld(X0,X1),rd(X0,X0)),
inference(forward_demodulation,[],[f610,f5]) ).
fof(f625,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(X0,X1),rd(X0,X0)),
inference(forward_demodulation,[],[f619,f3]) ).
fof(f638,plain,
! [X0,X1] : mult(X0,rd(X1,X1)) = X0,
inference(superposition,[],[f625,f2]) ).
fof(f949,plain,
! [X2,X0,X1] : rd(X2,X1) = mult(X2,ld(mult(X0,X1),X0)),
inference(superposition,[],[f38,f40]) ).
fof(f962,plain,
! [X0,X1] : mult(X0,mult(i(X1),X0)) = mult(rd(X0,X1),X0),
inference(superposition,[],[f273,f38]) ).
fof(f969,plain,
! [X0] : i(X0) = rd(unit,X0),
inference(superposition,[],[f6,f38]) ).
fof(f970,plain,
! [X0,X1] : ld(X0,i(X1)) = rd(i(X0),X1),
inference(superposition,[],[f26,f38]) ).
fof(f971,plain,
! [X0,X1] : ld(X0,i(X1)) = i(mult(X1,X0)),
inference(forward_demodulation,[],[f970,f505]) ).
fof(f978,plain,
! [X0,X1] : mult(X0,ld(X1,X0)) = mult(rd(X0,X1),X0),
inference(forward_demodulation,[],[f962,f26]) ).
fof(f1079,plain,
! [X0,X1] : mult(X0,X1) = mult(X1,ld(ld(X0,X1),X1)),
inference(superposition,[],[f978,f43]) ).
fof(f1084,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = mult(mult(X0,X1),ld(X1,mult(X0,X1))),
inference(superposition,[],[f978,f4]) ).
fof(f1144,plain,
! [X0,X1] : mult(i(X0),X1) = mult(X1,ld(mult(X0,X1),X1)),
inference(superposition,[],[f1079,f28]) ).
fof(f1175,plain,
! [X0,X1] : ld(X0,X1) = mult(X1,ld(mult(X0,X1),X1)),
inference(forward_demodulation,[],[f1144,f26]) ).
fof(f1213,plain,
! [X0,X1] : ld(mult(X0,X1),X0) = mult(X0,ld(mult(X0,mult(X1,X0)),X0)),
inference(superposition,[],[f1175,f273]) ).
fof(f1254,plain,
! [X0,X1] : ld(mult(X0,X1),X0) = rd(X0,mult(X1,X0)),
inference(forward_demodulation,[],[f1213,f949]) ).
fof(f1267,plain,
! [X2,X0,X1] : rd(X0,mult(X1,X0)) = ld(mult(X2,X1),X2),
inference(backward_demodulation,[],[f394,f1254]) ).
fof(f1269,plain,
! [X2,X0,X1] : ld(X1,X2) = mult(rd(X0,mult(X1,X0)),X2),
inference(backward_demodulation,[],[f469,f1254]) ).
fof(f1273,plain,
! [X2,X0,X1] : rd(X2,X1) = mult(X2,rd(X0,mult(X1,X0))),
inference(backward_demodulation,[],[f949,f1254]) ).
fof(f1277,plain,
! [X2,X0,X1] : rd(X0,mult(X1,X0)) = rd(X2,mult(X1,X2)),
inference(forward_demodulation,[],[f1267,f1254]) ).
fof(f1350,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,[],[f1277,f64]) ).
fof(f1353,plain,
! [X2,X0,X1] : rd(X2,X0) = rd(X1,mult(rd(X0,X2),X1)),
inference(superposition,[],[f1277,f3]) ).
fof(f1381,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,f1277]) ).
fof(f1386,plain,
! [X2,X1] : rd(mult(X1,X2),X1) = rd(mult(mult(X1,X2),X2),mult(X1,X2)),
inference(forward_demodulation,[],[f1381,f1273]) ).
fof(f1432,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,[],[f1273,f64]) ).
fof(f1435,plain,
! [X2,X0,X1] : mult(X1,rd(X2,X0)) = rd(X1,rd(X0,X2)),
inference(superposition,[],[f1273,f3]) ).
fof(f1687,plain,
! [X2,X3,X0,X1] : mult(X3,rd(rd(X2,X1),X0)) = rd(X3,mult(X0,rd(X1,X2))),
inference(superposition,[],[f1435,f1435]) ).
fof(f1704,plain,
! [X0,X1] : i(unit) = mult(rd(X0,X1),rd(X1,X0)),
inference(superposition,[],[f412,f1435]) ).
fof(f1717,plain,
! [X2,X0,X1] : mult(i(X0),rd(X1,X2)) = i(mult(rd(X2,X1),X0)),
inference(superposition,[],[f505,f1435]) ).
fof(f1718,plain,
! [X2,X0,X1] : ld(X0,rd(X1,X2)) = i(mult(rd(X2,X1),X0)),
inference(forward_demodulation,[],[f1717,f26]) ).
fof(f1862,plain,
! [X1] : i(unit) = rd(X1,mult(i(unit),X1)),
inference(superposition,[],[f1353,f412]) ).
fof(f1896,plain,
! [X2,X0,X1] : mult(rd(X0,X1),X2) = mult(X2,ld(mult(rd(X1,X0),X2),X2)),
inference(superposition,[],[f978,f1353]) ).
fof(f1903,plain,
! [X2,X0,X1] : mult(rd(X0,X1),X2) = ld(rd(X1,X0),X2),
inference(forward_demodulation,[],[f1896,f1175]) ).
fof(f1923,plain,
! [X1] : i(unit) = rd(X1,ld(unit,X1)),
inference(forward_demodulation,[],[f1862,f26]) ).
fof(f1936,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,f1903]) ).
fof(f1949,plain,
unit = i(unit),
inference(forward_demodulation,[],[f1923,f43]) ).
fof(f1962,plain,
! [X0,X1] : unit = mult(rd(X0,X1),rd(X1,X0)),
inference(backward_demodulation,[],[f1704,f1949]) ).
fof(f2269,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,[],[f1269,f64]) ).
fof(f2455,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(f2591,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,[],[f2455,f1254]) ).
fof(f2621,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,[],[f2591,f1269]) ).
fof(f2646,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,[],[f2621,f400]) ).
fof(f2660,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,[],[f2646,f26]) ).
fof(f2669,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,[],[f2660,f1]) ).
fof(f2708,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(f3171,plain,
! [X2,X0,X1] : ld(mult(X1,X2),mult(X1,ld(X2,X0))) = ld(X2,ld(mult(X1,X2),mult(X1,X0))),
inference(superposition,[],[f2669,f1]) ).
fof(f3209,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,f2669]) ).
fof(f3390,plain,
! [X0,X1] : ld(X1,ld(mult(X1,X1),mult(X1,X0))) = ld(mult(X1,X1),X0),
inference(superposition,[],[f3171,f1]) ).
fof(f3495,plain,
! [X0,X1] : ld(mult(X1,X1),ld(X1,X0)) = ld(X1,ld(mult(X1,X1),X0)),
inference(superposition,[],[f3390,f1]) ).
fof(f3526,plain,
! [X0,X1] : ld(mult(X0,X0),mult(X0,X1)) = mult(X0,ld(mult(X0,X0),X1)),
inference(superposition,[],[f1,f3390]) ).
fof(f3650,plain,
! [X0,X1] : ld(i(X0),ld(mult(i(X0),i(X0)),X1)) = ld(mult(i(X0),i(X0)),mult(X0,X1)),
inference(superposition,[],[f3495,f28]) ).
fof(f3665,plain,
! [X0,X1] : ld(i(X0),ld(ld(X0,i(X0)),X1)) = ld(ld(X0,i(X0)),mult(X0,X1)),
inference(forward_demodulation,[],[f3650,f26]) ).
fof(f3679,plain,
! [X0,X1] : ld(i(X0),ld(i(mult(X0,X0)),X1)) = ld(i(mult(X0,X0)),mult(X0,X1)),
inference(forward_demodulation,[],[f3665,f971]) ).
fof(f3688,plain,
! [X0,X1] : ld(i(X0),ld(i(mult(X0,X0)),X1)) = mult(mult(X0,X0),mult(X0,X1)),
inference(forward_demodulation,[],[f3679,f28]) ).
fof(f3695,plain,
! [X0,X1] : mult(X0,ld(i(mult(X0,X0)),X1)) = mult(mult(X0,X0),mult(X0,X1)),
inference(forward_demodulation,[],[f3688,f28]) ).
fof(f3701,plain,
! [X0,X1] : mult(mult(X0,X0),mult(X0,X1)) = mult(X0,mult(mult(X0,X0),X1)),
inference(forward_demodulation,[],[f3695,f28]) ).
fof(f3730,plain,
! [X0,X1] : mult(mult(X0,X0),rd(X0,X1)) = mult(X0,mult(mult(X0,X0),i(X1))),
inference(superposition,[],[f3701,f38]) ).
fof(f3758,plain,
! [X0,X1] : mult(X0,X1) = ld(mult(X0,X0),mult(X0,mult(mult(X0,X0),X1))),
inference(superposition,[],[f2,f3701]) ).
fof(f3795,plain,
! [X0,X1] : mult(mult(X0,X0),rd(X0,X1)) = mult(X0,rd(mult(X0,X0),X1)),
inference(forward_demodulation,[],[f3730,f38]) ).
fof(f3911,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,f3526]) ).
fof(f3912,plain,
! [X0,X1] : ld(ld(X0,i(X0)),mult(i(X0),X1)) = ld(X0,ld(ld(X0,i(X0)),X1)),
inference(forward_demodulation,[],[f3911,f26]) ).
fof(f3951,plain,
! [X0,X1] : ld(i(mult(X0,X0)),mult(i(X0),X1)) = ld(X0,ld(i(mult(X0,X0)),X1)),
inference(forward_demodulation,[],[f3912,f971]) ).
fof(f3970,plain,
! [X0,X1] : ld(i(mult(X0,X0)),mult(i(X0),X1)) = ld(X0,mult(mult(X0,X0),X1)),
inference(forward_demodulation,[],[f3951,f28]) ).
fof(f3983,plain,
! [X0,X1] : mult(mult(X0,X0),mult(i(X0),X1)) = ld(X0,mult(mult(X0,X0),X1)),
inference(forward_demodulation,[],[f3970,f28]) ).
fof(f3991,plain,
! [X0,X1] : mult(mult(X0,X0),ld(X0,X1)) = ld(X0,mult(mult(X0,X0),X1)),
inference(forward_demodulation,[],[f3983,f26]) ).
fof(f4035,plain,
! [X0,X1] : mult(X0,X0) = rd(ld(X0,mult(mult(X0,X0),X1)),ld(X0,X1)),
inference(superposition,[],[f4,f3991]) ).
fof(f4154,plain,
! [X0,X1] : rd(mult(X0,X0),X1) = mult(X0,rd(mult(X0,X0),mult(X1,X0))),
inference(superposition,[],[f1273,f3795]) ).
fof(f4607,plain,
! [X2,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),X2))) = mult(ld(X1,X0),ld(X0,mult(X1,X2))),
inference(superposition,[],[f3209,f1]) ).
fof(f4640,plain,
! [X2,X0,X1] : ld(mult(X1,X2),mult(X1,mult(X2,ld(X1,X0)))) = mult(X2,ld(mult(X1,X2),X0)),
inference(superposition,[],[f3209,f1]) ).
fof(f4665,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,[],[f3209,f26]) ).
fof(f4737,plain,
! [X2,X0,X1] : ld(ld(X0,X2),mult(i(X0),mult(X2,X1))) = mult(X2,ld(ld(X0,X2),ld(X0,X1))),
inference(forward_demodulation,[],[f4665,f26]) ).
fof(f4766,plain,
! [X2,X0,X1] : mult(X2,ld(ld(X0,X2),ld(X0,X1))) = ld(ld(X0,X2),ld(X0,mult(X2,X1))),
inference(forward_demodulation,[],[f4737,f26]) ).
fof(f4921,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,[],[f477,f72]) ).
fof(f4934,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,[],[f4921,f395]) ).
fof(f5017,plain,
! [X3,X0,X1] : ld(ld(X0,X1),X3) = mult(ld(mult(rd(X1,X0),X0),X0),X3),
inference(backward_demodulation,[],[f2269,f4934]) ).
fof(f5018,plain,
! [X3,X0,X1] : rd(X3,ld(X0,X1)) = mult(X3,ld(mult(rd(X1,X0),X0),X0)),
inference(backward_demodulation,[],[f1432,f4934]) ).
fof(f5019,plain,
! [X3,X0,X1] : rd(X3,mult(ld(X0,X1),X3)) = ld(mult(rd(X1,X0),X0),X0),
inference(backward_demodulation,[],[f1350,f4934]) ).
fof(f5066,plain,
! [X3,X0,X1] : ld(X1,X0) = rd(X3,mult(ld(X0,X1),X3)),
inference(forward_demodulation,[],[f5019,f3]) ).
fof(f5067,plain,
! [X3,X0,X1] : rd(X3,ld(X0,X1)) = mult(X3,ld(X1,X0)),
inference(forward_demodulation,[],[f5018,f3]) ).
fof(f5068,plain,
! [X3,X0,X1] : mult(ld(X1,X0),X3) = ld(ld(X0,X1),X3),
inference(forward_demodulation,[],[f5017,f3]) ).
fof(f5172,plain,
! [X0,X1] : mult(X0,X0) = mult(ld(X0,mult(mult(X0,X0),X1)),ld(X1,X0)),
inference(backward_demodulation,[],[f4035,f5067]) ).
fof(f5292,plain,
! [X2,X0,X1] : ld(ld(X0,X2),ld(X0,mult(X2,X1))) = mult(X2,mult(ld(X2,X0),ld(X0,X1))),
inference(backward_demodulation,[],[f4766,f5068]) ).
fof(f5541,plain,
! [X2,X0,X1] : mult(X2,mult(ld(X2,X0),ld(X0,X1))) = mult(ld(X2,X0),ld(X0,mult(X2,X1))),
inference(forward_demodulation,[],[f5292,f5068]) ).
fof(f5689,plain,
! [X2,X0,X1] : mult(X2,mult(ld(X2,X0),ld(X0,X1))) = ld(X0,mult(X2,mult(ld(X2,X0),X1))),
inference(forward_demodulation,[],[f5541,f4607]) ).
fof(f5996,plain,
! [X2,X3,X0,X1] : mult(X3,rd(ld(X2,X1),X0)) = rd(X3,mult(X0,ld(X1,X2))),
inference(superposition,[],[f1435,f5067]) ).
fof(f6882,plain,
! [X2,X0,X1] : ld(X0,mult(mult(mult(X0,X1),X2),X0)) = mult(mult(X1,X0),ld(X0,mult(X2,X0))),
inference(superposition,[],[f577,f251]) ).
fof(f6970,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = ld(X1,mult(mult(mult(X1,X0),X0),X1)),
inference(backward_demodulation,[],[f1084,f6882]) ).
fof(f7256,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(f7900,plain,
! [X2,X0,X1] : rd(mult(mult(mult(X0,rd(X2,X0)),X0),ld(X0,X1)),mult(X0,ld(X0,X1))) = mult(rd(ld(X0,mult(mult(X0,X0),X1)),mult(X0,ld(X0,X1))),rd(mult(X2,ld(X0,X1)),mult(X0,ld(X0,X1)))),
inference(superposition,[],[f49,f3991]) ).
fof(f7931,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(f7938,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(f8099,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,[],[f7938,f1273]) ).
fof(f8106,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,[],[f7931,f1687]) ).
fof(f8128,plain,
! [X2,X0,X1] : rd(mult(mult(mult(X0,rd(X2,X0)),X0),ld(X0,X1)),X1) = mult(rd(ld(X0,mult(mult(X0,X0),X1)),X1),rd(mult(X2,ld(X0,X1)),X1)),
inference(forward_demodulation,[],[f7900,f1]) ).
fof(f8208,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,[],[f8099,f969]) ).
fof(f8229,plain,
! [X2,X0,X1] : mult(rd(ld(X0,mult(mult(X0,X0),X1)),X1),rd(mult(X2,ld(X0,X1)),X1)) = rd(mult(mult(X0,mult(rd(X2,X0),X0)),ld(X0,X1)),X1),
inference(forward_demodulation,[],[f8128,f273]) ).
fof(f8285,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,[],[f8208,f38]) ).
fof(f8297,plain,
! [X2,X0,X1] : mult(rd(ld(X0,mult(mult(X0,X0),X1)),X1),rd(mult(X2,ld(X0,X1)),X1)) = rd(mult(mult(X0,X2),ld(X0,X1)),X1),
inference(forward_demodulation,[],[f8229,f3]) ).
fof(f8336,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,[],[f8285,f3]) ).
fof(f8430,plain,
! [X0,X1] : rd(mult(X0,X0),mult(X1,X0)) = rd(rd(mult(X0,mult(X1,X0)),mult(X1,X0)),X1),
inference(superposition,[],[f8336,f273]) ).
fof(f8435,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,[],[f8336,f1]) ).
fof(f8484,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,f8336]) ).
fof(f8543,plain,
! [X0,X1] : rd(X0,X1) = rd(mult(X0,X0),mult(X1,X0)),
inference(forward_demodulation,[],[f8430,f4]) ).
fof(f8616,plain,
! [X0,X1] : mult(X0,rd(X0,X1)) = rd(mult(X0,X0),X1),
inference(backward_demodulation,[],[f4154,f8543]) ).
fof(f8662,plain,
! [X0,X1] : mult(ld(X0,X1),X1) = ld(X0,mult(rd(mult(X1,X1),X0),X0)),
inference(backward_demodulation,[],[f463,f8616]) ).
fof(f8705,plain,
! [X0,X1] : mult(ld(X0,X1),X1) = ld(X0,mult(X1,X1)),
inference(forward_demodulation,[],[f8662,f3]) ).
fof(f8792,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = ld(i(X0),mult(X1,X1)),
inference(superposition,[],[f8705,f28]) ).
fof(f8798,plain,
! [X0,X1] : ld(X1,X0) = rd(X1,ld(X0,mult(X1,X1))),
inference(superposition,[],[f5066,f8705]) ).
fof(f8883,plain,
! [X0,X1] : ld(X1,X0) = mult(X1,ld(mult(X1,X1),X0)),
inference(forward_demodulation,[],[f8798,f5067]) ).
fof(f8888,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)),
inference(forward_demodulation,[],[f8792,f28]) ).
fof(f8927,plain,
! [X0,X1] : ld(X1,X0) = ld(mult(X1,X1),mult(X1,X0)),
inference(forward_demodulation,[],[f8883,f3526]) ).
fof(f8932,plain,
! [X2,X1] : rd(mult(X1,X2),X1) = rd(mult(X1,mult(X2,X2)),mult(X1,X2)),
inference(backward_demodulation,[],[f1386,f8888]) ).
fof(f8939,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = ld(X1,mult(mult(X1,mult(X0,X0)),X1)),
inference(backward_demodulation,[],[f6970,f8888]) ).
fof(f9015,plain,
! [X0,X1] : mult(X0,X1) = ld(X0,mult(mult(X0,X0),X1)),
inference(backward_demodulation,[],[f3758,f8927]) ).
fof(f9026,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = ld(X1,mult(X1,mult(mult(X0,X0),X1))),
inference(forward_demodulation,[],[f8939,f273]) ).
fof(f9056,plain,
! [X0,X1] : mult(X0,X0) = mult(mult(X0,X1),ld(X1,X0)),
inference(backward_demodulation,[],[f5172,f9015]) ).
fof(f9066,plain,
! [X2,X0,X1] : rd(mult(mult(X0,X2),ld(X0,X1)),X1) = mult(rd(mult(X0,X1),X1),rd(mult(X2,ld(X0,X1)),X1)),
inference(backward_demodulation,[],[f8297,f9015]) ).
fof(f9093,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = mult(mult(X0,X0),X1),
inference(forward_demodulation,[],[f9026,f2]) ).
fof(f9107,plain,
! [X2,X0,X1] : rd(mult(mult(X0,X2),ld(X0,X1)),X1) = mult(X0,rd(mult(X2,ld(X0,X1)),X1)),
inference(forward_demodulation,[],[f9066,f4]) ).
fof(f9706,plain,
! [X2,X0,X1] : rd(mult(mult(mult(X0,rd(X2,X0)),X0),X1),mult(X0,X1)) = mult(rd(mult(X0,mult(X0,X1)),mult(X0,X1)),rd(mult(X2,X1),mult(X0,X1))),
inference(superposition,[],[f49,f9093]) ).
fof(f9798,plain,
! [X2,X0,X1] : rd(mult(mult(mult(X0,rd(X2,X0)),X0),X1),mult(X0,X1)) = mult(X0,rd(mult(X2,X1),mult(X0,X1))),
inference(forward_demodulation,[],[f9706,f4]) ).
fof(f9839,plain,
! [X2,X0,X1] : mult(X0,rd(mult(X2,X1),mult(X0,X1))) = rd(mult(mult(X0,mult(rd(X2,X0),X0)),X1),mult(X0,X1)),
inference(forward_demodulation,[],[f9798,f273]) ).
fof(f9859,plain,
! [X2,X0,X1] : mult(X0,rd(mult(X2,X1),mult(X0,X1))) = rd(mult(mult(X0,X2),X1),mult(X0,X1)),
inference(forward_demodulation,[],[f9839,f3]) ).
fof(f11738,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,f9056]) ).
fof(f11804,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,[],[f11738,f1]) ).
fof(f11863,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,[],[f11804,f4]) ).
fof(f11901,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,[],[f11863,f3]) ).
fof(f14687,plain,
! [X2,X0,X1] : mult(mult(X0,X1),ld(X1,X2)) = rd(mult(mult(mult(X0,X2),X1),ld(X1,X2)),X2),
inference(superposition,[],[f11901,f4]) ).
fof(f14742,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X1,X2)),X2) = mult(mult(mult(rd(X0,X1),X2),X1),ld(X1,X2)),
inference(superposition,[],[f3,f11901]) ).
fof(f16952,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,f2708]) ).
fof(f17360,definition,
( spl6_12
<=> c = ld(a,sF0) ),
introduced(definition,[new_symbols(definition,[spl6_12])],[avatar_definition]) ).
fof(f17362,plain,
( c = ld(a,sF0)
| ~ spl6_12 ),
inference(avatar_component_clause,[],[f17360]) ).
fof(f17363,plain,
( spl6_12
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f105,f100,f17360]) ).
fof(f17682,definition,
( spl6_13
<=> b = ld(a,sF3) ),
introduced(definition,[new_symbols(definition,[spl6_13])],[avatar_definition]) ).
fof(f17684,plain,
( b = ld(a,sF3)
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f17682]) ).
fof(f17685,plain,
( spl6_13
| ~ spl6_5 ),
inference(avatar_split_clause,[],[f112,f107,f17682]) ).
fof(f19219,definition,
( spl6_15
<=> sF3 = rd(sF4,a) ),
introduced(definition,[new_symbols(definition,[spl6_15])],[avatar_definition]) ).
fof(f19221,plain,
( sF3 = rd(sF4,a)
| ~ spl6_15 ),
inference(avatar_component_clause,[],[f19219]) ).
fof(f19222,plain,
( spl6_15
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f202,f198,f19219]) ).
fof(f19238,plain,
( ! [X0] : mult(mult(sF4,ld(a,X0)),X0) = mult(mult(mult(sF3,X0),a),ld(a,X0))
| ~ spl6_15 ),
inference(superposition,[],[f14742,f19221]) ).
fof(f19787,plain,
! [X2,X0,X1] : rd(mult(mult(rd(X0,X1),X2),X1),mult(X2,X1)) = mult(rd(X0,mult(X2,X1)),X2),
inference(superposition,[],[f8484,f3]) ).
fof(f22507,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,f587]) ).
fof(f22556,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,[],[f7256,f22507]) ).
fof(f23870,plain,
! [X2,X0,X1] : rd(mult(mult(X1,mult(rd(X0,X2),X1)),X2),mult(X1,X2)) = mult(X1,mult(rd(X0,mult(X1,X2)),X1)),
inference(superposition,[],[f9859,f19787]) ).
fof(f23877,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,f19787]) ).
fof(f31886,plain,
! [X2,X0,X1] : rd(X0,mult(rd(mult(X1,ld(X0,X2)),X2),X0)) = ld(rd(mult(mult(X0,X1),ld(X0,X2)),X2),X0),
inference(superposition,[],[f1254,f9107]) ).
fof(f31972,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,[],[f14687,f1254]) ).
fof(f31983,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,[],[f31972,f1273]) ).
fof(f32066,plain,
! [X2,X0,X1] : rd(X0,mult(rd(mult(X1,ld(X0,X2)),X2),X0)) = mult(rd(X2,mult(mult(X0,X1),ld(X0,X2))),X0),
inference(forward_demodulation,[],[f31886,f1903]) ).
fof(f32080,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,[],[f31983,f1273]) ).
fof(f32137,plain,
! [X2,X0,X1] : rd(X2,mult(X1,ld(X0,X2))) = mult(rd(X2,mult(mult(X0,X1),ld(X0,X2))),X0),
inference(forward_demodulation,[],[f32066,f1353]) ).
fof(f36270,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,[],[f16952,f8888]) ).
fof(f36367,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,[],[f19787,f16952]) ).
fof(f36476,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,[],[f36367,f3]) ).
fof(f36554,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,[],[f36270,f8932]) ).
fof(f36600,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,[],[f36476,f3]) ).
fof(f47187,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,[],[f4640,f26]) ).
fof(f47264,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,[],[f47187,f28]) ).
fof(f47390,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,[],[f47264,f26]) ).
fof(f47482,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,[],[f47390,f5068]) ).
fof(f47558,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,[],[f47482,f4607]) ).
fof(f47593,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,[],[f47558,f5068]) ).
fof(f59249,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,[],[f16952,f22556]) ).
fof(f59521,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,[],[f59249,f3]) ).
fof(f59928,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,[],[f59521,f36554]) ).
fof(f60261,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,[],[f59928,f36600]) ).
fof(f60521,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,[],[f60261,f3]) ).
fof(f60692,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,[],[f60521,f2]) ).
fof(f60999,plain,
( ! [X0] : mult(a,mult(ld(a,mult(sF3,X0)),X0)) = mult(mult(a,mult(b,X0)),X0)
| ~ spl6_13 ),
inference(superposition,[],[f60692,f17684]) ).
fof(f61173,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,f60692]) ).
fof(f61174,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,[],[f61173,f38]) ).
fof(f61263,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,[],[f61174,f5996]) ).
fof(f61322,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,[],[f61263,f38]) ).
fof(f61370,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,[],[f61322,f5996]) ).
fof(f61406,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,[],[f61370,f38]) ).
fof(f61428,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,[],[f61406,f1903]) ).
fof(f61443,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,[],[f8435,f61428]) ).
fof(f61448,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,[],[f61443,f1269]) ).
fof(f95683,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,[],[f1936,f1962]) ).
fof(f96245,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,[],[f95683,f6]) ).
fof(f96619,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,[],[f96245,f638]) ).
fof(f96882,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,[],[f8106,f96619]) ).
fof(f98431,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,[],[f96882,f3]) ).
fof(f98540,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,[],[f98431,f9093]) ).
fof(f98726,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,[],[f98540,f4]) ).
fof(f99721,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,[],[f98726,f4]) ).
fof(f100473,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,[],[f99721,f3]) ).
fof(f100594,plain,
! [X2,X0,X1] : mult(X1,rd(ld(X2,X0),mult(X1,X0))) = rd(mult(X1,X0),mult(mult(X1,X2),X0)),
inference(superposition,[],[f99721,f1]) ).
fof(f100840,plain,
! [X2,X0,X1] : rd(mult(X1,X0),mult(mult(X1,X2),X0)) = rd(X1,mult(mult(X1,X0),ld(X0,X2))),
inference(forward_demodulation,[],[f100594,f5996]) ).
fof(f100891,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,[],[f100473,f23877]) ).
fof(f101459,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,[],[f100891,f61448]) ).
fof(f101502,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,[],[f100891,f477]) ).
fof(f101845,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,[],[f101502,f38]) ).
fof(f101881,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,[],[f101459,f1273]) ).
fof(f102114,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,[],[f101845,f5067]) ).
fof(f102141,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,[],[f101881,f4]) ).
fof(f102297,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,[],[f102114,f1]) ).
fof(f102317,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,[],[f102141,f1]) ).
fof(f102453,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,[],[f102317,f102297]) ).
fof(f103533,plain,
! [X2,X0,X1] : rd(X0,mult(mult(X1,X2),ld(X1,X0))) = rd(X1,mult(X0,ld(ld(X1,X0),X2))),
inference(superposition,[],[f100840,f1]) ).
fof(f103955,plain,
! [X2,X0,X1] : rd(X0,mult(mult(X1,X2),ld(X1,X0))) = rd(X1,mult(X0,mult(ld(X0,X1),X2))),
inference(forward_demodulation,[],[f103533,f5068]) ).
fof(f104331,plain,
! [X2,X0,X1] : rd(mult(X2,ld(X0,X1)),X1) = rd(X1,mult(X0,ld(X2,X1))),
inference(superposition,[],[f102453,f1]) ).
fof(f104871,plain,
! [X2,X0,X1] : mult(mult(X0,X1),ld(X1,X2)) = rd(X2,mult(X1,ld(mult(mult(X0,X2),X1),X2))),
inference(backward_demodulation,[],[f14687,f104331]) ).
fof(f105773,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X1)),X1) = rd(X1,mult(i(X0),ld(X2,X1))),
inference(superposition,[],[f104331,f28]) ).
fof(f105901,plain,
! [X2,X0,X1] : mult(mult(X2,ld(X1,i(X0))),X0) = rd(i(X0),mult(X1,ld(X2,i(X0)))),
inference(superposition,[],[f41,f104331]) ).
fof(f105902,plain,
! [X2,X0,X1] : mult(mult(X2,ld(X1,i(X0))),X0) = i(mult(mult(X1,ld(X2,i(X0))),X0)),
inference(forward_demodulation,[],[f105901,f505]) ).
fof(f105998,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X1)),X1) = rd(X1,ld(X0,ld(X2,X1))),
inference(forward_demodulation,[],[f105773,f26]) ).
fof(f106047,plain,
! [X2,X0,X1] : mult(mult(X2,ld(X1,i(X0))),X0) = i(mult(mult(X1,i(mult(X0,X2))),X0)),
inference(forward_demodulation,[],[f105902,f971]) ).
fof(f106154,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X1)),X1) = mult(X1,ld(ld(X2,X1),X0)),
inference(forward_demodulation,[],[f105998,f5067]) ).
fof(f106186,plain,
! [X2,X0,X1] : mult(mult(X2,ld(X1,i(X0))),X0) = i(mult(rd(X1,mult(X0,X2)),X0)),
inference(forward_demodulation,[],[f106047,f38]) ).
fof(f106263,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,X2),X0)) = rd(mult(X2,mult(X0,X1)),X1),
inference(forward_demodulation,[],[f106154,f5068]) ).
fof(f106294,plain,
! [X2,X0,X1] : mult(mult(X2,ld(X1,i(X0))),X0) = ld(X0,rd(mult(X0,X2),X1)),
inference(forward_demodulation,[],[f106186,f1718]) ).
fof(f106368,plain,
! [X2,X0,X1] : mult(X2,mult(ld(X2,X0),ld(X0,X1))) = ld(X0,rd(mult(X0,mult(X1,X2)),X2)),
inference(backward_demodulation,[],[f5689,f106263]) ).
fof(f106418,plain,
! [X2,X0,X1] : rd(mult(X0,mult(X2,X1)),X1) = ld(X0,mult(X1,mult(ld(X1,X0),mult(X0,X2)))),
inference(backward_demodulation,[],[f47593,f106263]) ).
fof(f106631,plain,
! [X2,X0,X1] : rd(X0,mult(mult(X1,X2),ld(X1,X0))) = rd(X1,rd(mult(X1,mult(X2,X0)),X0)),
inference(backward_demodulation,[],[f103955,f106263]) ).
fof(f107690,plain,
( ! [X0] : mult(mult(a,mult(b,X0)),X0) = rd(mult(mult(sF3,X0),mult(X0,a)),a)
| ~ spl6_13 ),
inference(backward_demodulation,[],[f60999,f106263]) ).
fof(f107798,plain,
! [X2,X0,X1] : mult(mult(X2,i(mult(X0,X1))),X0) = ld(X0,rd(mult(X0,X2),X1)),
inference(forward_demodulation,[],[f106294,f971]) ).
fof(f109019,plain,
! [X2,X0,X1] : rd(X0,mult(mult(X1,X2),ld(X1,X0))) = mult(X1,rd(X0,mult(X1,mult(X2,X0)))),
inference(forward_demodulation,[],[f106631,f1435]) ).
fof(f109192,plain,
! [X2,X0,X1] : rd(mult(X0,mult(X2,X1)),X1) = ld(X0,rd(mult(X0,mult(mult(X0,X2),X1)),X1)),
inference(forward_demodulation,[],[f106418,f106263]) ).
fof(f109228,plain,
! [X2,X0,X1] : rd(mult(X0,mult(ld(X0,X1),X2)),X2) = ld(X0,rd(mult(X0,mult(X1,X2)),X2)),
inference(forward_demodulation,[],[f106368,f106263]) ).
fof(f109260,plain,
! [X2,X0,X1] : mult(rd(X2,mult(X0,X1)),X0) = ld(X0,rd(mult(X0,X2),X1)),
inference(forward_demodulation,[],[f107798,f38]) ).
fof(f109863,plain,
! [X2,X0,X1] : rd(X2,mult(X1,ld(X0,X2))) = mult(mult(X0,rd(X2,mult(X0,mult(X1,X2)))),X0),
inference(backward_demodulation,[],[f32137,f109019]) ).
fof(f110079,plain,
! [X2,X0,X1] : ld(X0,rd(mult(X0,mult(X1,X2)),X2)) = rd(rd(mult(X1,mult(X2,X0)),X0),X2),
inference(forward_demodulation,[],[f109228,f106263]) ).
fof(f110112,plain,
! [X2,X0,X1] : rd(mult(X0,mult(X2,X1)),X1) = mult(rd(mult(mult(X0,X2),X1),mult(X0,X1)),X0),
inference(backward_demodulation,[],[f109192,f109260]) ).
fof(f110385,plain,
! [X2,X0,X1] : rd(X2,mult(X1,ld(X0,X2))) = mult(X0,mult(rd(X2,mult(X0,mult(X1,X2))),X0)),
inference(forward_demodulation,[],[f109863,f273]) ).
fof(f110484,plain,
! [X2,X0,X1] : mult(rd(mult(X1,X2),mult(X0,X2)),X0) = rd(rd(mult(X1,mult(X2,X0)),X0),X2),
inference(forward_demodulation,[],[f110079,f109260]) ).
fof(f110501,plain,
! [X2,X0,X1] : rd(mult(X0,mult(X2,X1)),X1) = rd(mult(mult(mult(X0,X2),X0),X1),mult(X0,X1)),
inference(forward_demodulation,[],[f110112,f8484]) ).
fof(f110700,plain,
! [X2,X0,X1] : rd(mult(mult(X1,X0),X2),mult(X0,X2)) = rd(rd(mult(X1,mult(X2,X0)),X0),X2),
inference(forward_demodulation,[],[f110484,f8484]) ).
fof(f110716,plain,
! [X2,X0,X1] : rd(mult(X0,mult(X2,X1)),X1) = rd(mult(mult(X0,mult(X2,X0)),X1),mult(X0,X1)),
inference(forward_demodulation,[],[f110501,f273]) ).
fof(f110808,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X1)),X1) = rd(mult(mult(mult(X2,X0),X1),X0),mult(X1,X0)),
inference(backward_demodulation,[],[f32080,f110700]) ).
fof(f110822,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X0,mult(X1,X2)),X1)) = rd(mult(X1,mult(rd(X0,X2),X2)),X2),
inference(backward_demodulation,[],[f23870,f110716]) ).
fof(f110873,plain,
! [X2,X0,X1] : rd(mult(X1,X0),X2) = mult(X1,mult(rd(X0,mult(X1,X2)),X1)),
inference(forward_demodulation,[],[f110822,f3]) ).
fof(f110907,plain,
! [X2,X0,X1] : rd(mult(X0,X2),mult(X1,X2)) = rd(X2,mult(X1,ld(X0,X2))),
inference(backward_demodulation,[],[f110385,f110873]) ).
fof(f111066,plain,
! [X2,X0,X1] : mult(mult(X0,X1),ld(X1,X2)) = rd(mult(mult(mult(X0,X2),X1),X2),mult(X1,X2)),
inference(backward_demodulation,[],[f104871,f110907]) ).
fof(f111766,plain,
! [X2,X0,X1] : mult(mult(X0,X1),ld(X1,X2)) = rd(mult(X0,mult(X2,X1)),X1),
inference(forward_demodulation,[],[f111066,f110808]) ).
fof(f112567,plain,
( ! [X0] : mult(mult(sF4,ld(a,X0)),X0) = rd(mult(mult(sF3,X0),mult(X0,a)),a)
| ~ spl6_15 ),
inference(backward_demodulation,[],[f19238,f111766]) ).
fof(f112901,plain,
( ! [X0] : mult(mult(sF4,ld(a,X0)),X0) = mult(mult(a,mult(b,X0)),X0)
| ~ spl6_13
| ~ spl6_15 ),
inference(forward_demodulation,[],[f112567,f107690]) ).
fof(f121222,plain,
( ! [X0] : mult(sF4,ld(a,X0)) = rd(mult(mult(a,mult(b,X0)),X0),X0)
| ~ spl6_13
| ~ spl6_15 ),
inference(superposition,[],[f4,f112901]) ).
fof(f121374,plain,
( ! [X0] : mult(a,mult(b,X0)) = mult(sF4,ld(a,X0))
| ~ spl6_13
| ~ spl6_15 ),
inference(forward_demodulation,[],[f121222,f4]) ).
fof(f124996,plain,
( mult(sF4,c) = mult(a,mult(b,sF0))
| ~ spl6_12
| ~ spl6_13
| ~ spl6_15 ),
inference(superposition,[],[f121374,f17362]) ).
fof(f125170,plain,
( mult(a,sF1) = mult(sF4,c)
| ~ spl6_6
| ~ spl6_12
| ~ spl6_13
| ~ spl6_15 ),
inference(forward_demodulation,[],[f124996,f116]) ).
fof(f125214,plain,
( mult(a,sF1) = sF5
| ~ spl6_2
| ~ spl6_6
| ~ spl6_12
| ~ spl6_13
| ~ spl6_15 ),
inference(forward_demodulation,[],[f125170,f87]) ).
fof(f125251,plain,
( sF2 = sF5
| ~ spl6_1
| ~ spl6_2
| ~ spl6_6
| ~ spl6_12
| ~ spl6_13
| ~ spl6_15 ),
inference(forward_demodulation,[],[f125214,f35]) ).
fof(f125268,plain,
( $false
| ~ spl6_1
| ~ spl6_2
| spl6_3
| ~ spl6_6
| ~ spl6_12
| ~ spl6_13
| ~ spl6_15 ),
inference(forward_subsumption_resolution,[],[f125251,f97]) ).
fof(f125269,plain,
( ~ spl6_1
| ~ spl6_2
| spl6_3
| ~ spl6_6
| ~ spl6_12
| ~ spl6_13
| ~ spl6_15 ),
inference(avatar_contradiction_clause,[],[f125268]) ).
cnf(s1,plain,
spl6_1,
inference(sat_conversion,[],[f36]) ).
cnf(s2,plain,
spl6_2,
inference(sat_conversion,[],[f88]) ).
cnf(s3,plain,
~ spl6_3,
inference(sat_conversion,[],[f98]) ).
cnf(s4,plain,
spl6_4,
inference(sat_conversion,[],[f103]) ).
cnf(s5,plain,
spl6_5,
inference(sat_conversion,[],[f110]) ).
cnf(s6,plain,
spl6_6,
inference(sat_conversion,[],[f117]) ).
cnf(s7,plain,
spl6_7,
inference(sat_conversion,[],[f201]) ).
cnf(s12,plain,
( ~ spl6_4
| spl6_12 ),
inference(sat_conversion,[],[f17363]) ).
cnf(s13,plain,
( ~ spl6_5
| spl6_13 ),
inference(sat_conversion,[],[f17685]) ).
cnf(s15,plain,
( ~ spl6_7
| spl6_15 ),
inference(sat_conversion,[],[f19222]) ).
cnf(s53,plain,
( ~ spl6_1
| ~ spl6_2
| spl6_3
| ~ spl6_6
| ~ spl6_12
| ~ spl6_13
| ~ spl6_15 ),
inference(sat_conversion,[],[f125269]) ).
cnf(s57,plain,
spl6_15,
inference(rat,[],[s15,s7]) ).
cnf(s71,plain,
spl6_13,
inference(rat,[],[s13,s5]) ).
cnf(s90,plain,
spl6_12,
inference(rat,[],[s12,s4]) ).
cnf(s92,plain,
~ spl6_1,
inference(rat,[],[s53,s57,s71,s90,s6,s3,s2]) ).
cnf(s96,plain,
$false,
inference(rat,[],[s1,s92]) ).
fof(f125292,plain,
$false,
inference(avatar_sat_refutation,[],[s96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP666-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n007.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 10:31:39 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 85.87/12.99 % (1218437)Detected a unit-equality problem, will run specialized UEQ schedule.
% 85.87/12.99 % (1218444)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2486290668:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 85.87/12.99 % (1218446)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2816459210:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 85.87/12.99 % (1218445)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1946832926:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 85.87/12.99 % (1218448)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3421082187:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 85.87/12.99 % (1218442)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=914799008:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 85.87/12.99 % (1218443)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=1646778105:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 85.87/12.99 % (1218447)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1602123154:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 85.87/12.99 % (1218445)Instruction limit reached!
% 85.87/12.99 % (1218445)------------------------------
% 85.87/12.99 % (1218445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.87/12.99 % (1218445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.87/12.99 % (1218445)CaDiCaL version: 2.1.3
% 85.87/12.99 % (1218445)Termination reason: Instruction limit
% 85.87/12.99 % (1218445)Termination phase: Saturation
% 85.87/12.99 % (1218445)Time elapsed: 0.080 s
% 85.87/12.99 % (1218445)Peak memory usage: 89 MB
% 85.87/12.99 % (1218445)Instructions burned: 137 (million)
% 85.87/12.99 % (1218446)Instruction limit reached!
% 85.87/12.99 % (1218446)------------------------------
% 85.87/12.99 % (1218446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.87/12.99 % (1218446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.87/12.99 % (1218446)CaDiCaL version: 2.1.3
% 85.87/12.99 % (1218446)Termination reason: Instruction limit
% 85.87/12.99 % (1218446)Termination phase: Saturation
% 85.87/12.99 % (1218446)Time elapsed: 0.097 s
% 85.87/12.99 % (1218446)Peak memory usage: 89 MB
% 85.87/12.99 % (1218446)Instructions burned: 182 (million)
% 85.87/12.99 % (1218447)Instruction limit reached!
% 85.87/12.99 % (1218447)------------------------------
% 85.87/12.99 % (1218447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.87/12.99 % (1218447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.87/12.99 % (1218447)CaDiCaL version: 2.1.3
% 85.87/12.99 % (1218447)Termination reason: Instruction limit
% 85.87/12.99 % (1218447)Termination phase: Saturation
% 85.87/12.99 % (1218447)Time elapsed: 0.156 s
% 85.87/12.99 % (1218447)Peak memory usage: 91 MB
% 85.87/12.99 % (1218447)Instructions burned: 258 (million)
% 85.87/12.99 % (1218456)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2160778423:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 85.87/12.99 % (1218457)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3470089406:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 85.87/12.99 % (1218458)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=423497338:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 85.87/12.99 % (1218458)Instruction limit reached!
% 85.87/12.99 % (1218458)------------------------------
% 85.87/12.99 % (1218458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 85.87/12.99 % (1218458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 85.87/12.99 % (1218458)CaDiCaL version: 2.1.3
% 85.87/12.99 % (1218458)Termination reason: Instruction limit
% 85.87/12.99 % (1218458)Termination phase: Saturation
% 85.87/12.99 % (1218458)Time elapsed: 0.083 s
% 128.46/18.93 % (1218458)Peak memory usage: 90 MB
% 128.46/18.93 % (1218458)Instructions burned: 219 (million)
% 128.46/18.93 % (1218462)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=583529188:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 128.46/18.93 % (1218448)Instruction limit reached!
% 128.46/18.93 % (1218448)------------------------------
% 128.46/18.93 % (1218448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.46/18.93 % (1218448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.46/18.93 % (1218448)CaDiCaL version: 2.1.3
% 128.46/18.93 % (1218448)Termination reason: Instruction limit
% 128.46/18.93 % (1218448)Termination phase: Saturation
% 128.46/18.93 % (1218448)Time elapsed: 0.630 s
% 128.46/18.93 % (1218448)Peak memory usage: 100 MB
% 128.46/18.93 % (1218448)Instructions burned: 1189 (million)
% 128.46/18.93 % (1218462)Instruction limit reached!
% 128.46/18.93 % (1218462)------------------------------
% 128.46/18.93 % (1218462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.46/18.93 % (1218462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.46/18.93 % (1218462)CaDiCaL version: 2.1.3
% 128.46/18.93 % (1218462)Termination reason: Instruction limit
% 128.46/18.93 % (1218462)Termination phase: Saturation
% 128.46/18.93 % (1218462)Time elapsed: 0.096 s
% 128.46/18.93 % (1218462)Peak memory usage: 94 MB
% 128.46/18.93 % (1218462)Instructions burned: 318 (million)
% 128.46/18.93 % (1218464)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=3948930871:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 128.46/18.93 % (1218465)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1783896571:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 128.46/18.93 % (1218456)Instruction limit reached!
% 128.46/18.93 % (1218456)------------------------------
% 128.46/18.93 % (1218456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.46/18.93 % (1218456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.46/18.93 % (1218456)CaDiCaL version: 2.1.3
% 128.46/18.93 % (1218456)Termination reason: Instruction limit
% 128.46/18.93 % (1218456)Termination phase: Saturation
% 128.46/18.93 % (1218456)Time elapsed: 1.274 s
% 128.46/18.93 % (1218456)Peak memory usage: 140 MB
% 128.46/18.93 % (1218456)Instructions burned: 2053 (million)
% 128.46/18.93 % (1218468)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1484934040:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2983 on theBenchmark for (2983ds/14534Mi)
% 128.46/18.93 % (1218465)Instruction limit reached!
% 128.46/18.93 % (1218465)------------------------------
% 128.46/18.93 % (1218465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.46/18.93 % (1218465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.46/18.93 % (1218465)CaDiCaL version: 2.1.3
% 128.46/18.93 % (1218465)Termination reason: Instruction limit
% 128.46/18.93 % (1218465)Termination phase: Saturation
% 128.46/18.93 % (1218465)Time elapsed: 1.735 s
% 128.46/18.93 % (1218465)Peak memory usage: 133 MB
% 128.46/18.93 % (1218465)Instructions burned: 2837 (million)
% 128.46/18.93 % (1218470)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=1181667673:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2973 on theBenchmark for (2973ds/11832Mi)
% 128.46/18.93 % (1218457)Instruction limit reached!
% 128.46/18.93 % (1218457)------------------------------
% 128.46/18.93 % (1218457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.46/18.93 % (1218457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.46/18.93 % (1218457)CaDiCaL version: 2.1.3
% 128.46/18.93 % (1218457)Termination reason: Instruction limit
% 128.46/18.93 % (1218457)Termination phase: Saturation
% 128.46/18.93 % (1218457)Time elapsed: 2.978 s
% 128.46/18.93 % (1218457)Peak memory usage: 168 MB
% 128.46/18.93 % (1218457)Instructions burned: 4948 (million)
% 128.46/18.93 % (1218473)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=4228420893:i=2279:fgj=on:bd=all_2965 on theBenchmark for (2965ds/2279Mi)
% 128.46/18.93 % (1218464)Instruction limit reached!
% 128.46/18.93 % (1218464)------------------------------
% 73.45/19.52 % (1218464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.45/19.52 % (1218464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.45/19.52 % (1218464)CaDiCaL version: 2.1.3
% 73.45/19.52 % (1218464)Termination reason: Instruction limit
% 73.45/19.52 % (1218464)Termination phase: Saturation
% 73.45/19.52 % (1218464)Time elapsed: 3.931 s
% 73.45/19.52 % (1218464)Peak memory usage: 244 MB
% 73.45/19.52 % (1218464)Instructions burned: 12126 (million)
% 73.45/19.52 % (1218473)Instruction limit reached!
% 73.45/19.52 % (1218473)------------------------------
% 73.45/19.52 % (1218473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.45/19.52 % (1218473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.45/19.52 % (1218473)CaDiCaL version: 2.1.3
% 73.45/19.52 % (1218473)Termination reason: Instruction limit
% 73.45/19.52 % (1218473)Termination phase: Saturation
% 73.45/19.52 % (1218473)Time elapsed: 1.384 s
% 73.45/19.52 % (1218473)Peak memory usage: 139 MB
% 73.45/19.52 % (1218473)Instructions burned: 2279 (million)
% 73.45/19.52 % (1218475)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=1290226596:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2951 on theBenchmark for (2951ds/6225Mi)
% 73.45/19.52 % (1218476)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=542684421:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2950 on theBenchmark for (2950ds/21755Mi)
% 73.45/19.52 % (1218475)Instruction limit reached!
% 73.45/19.52 % (1218475)------------------------------
% 73.45/19.52 % (1218475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.45/19.52 % (1218475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.45/19.52 % (1218475)CaDiCaL version: 2.1.3
% 73.45/19.52 % (1218475)Termination reason: Instruction limit
% 73.45/19.52 % (1218475)Termination phase: Saturation
% 73.45/19.52 % (1218475)Time elapsed: 1.420 s
% 73.45/19.52 % (1218475)Peak memory usage: 143 MB
% 73.45/19.52 % (1218475)Instructions burned: 6230 (million)
% 73.45/19.52 % (1218479)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=3396790314:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2935 on theBenchmark for (2935ds/16427Mi)
% 73.45/19.52 % (1218470)Instruction limit reached!
% 73.45/19.52 % (1218470)------------------------------
% 73.45/19.52 % (1218470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.45/19.52 % (1218470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.45/19.52 % (1218470)CaDiCaL version: 2.1.3
% 73.45/19.52 % (1218470)Termination reason: Instruction limit
% 73.45/19.52 % (1218470)Termination phase: Saturation
% 73.45/19.52 % (1218470)Time elapsed: 7.334 s
% 73.45/19.52 % (1218470)Peak memory usage: 227 MB
% 73.45/19.52 % (1218470)Instructions burned: 11833 (million)
% 73.45/19.52 % (1218481)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=825143511:i=9356:fgj=on:bd=preordered:av=off_2897 on theBenchmark for (2897ds/9356Mi)
% 73.45/19.52 % (1218468)Instruction limit reached!
% 73.45/19.52 % (1218468)------------------------------
% 73.45/19.52 % (1218468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.45/19.52 % (1218468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.45/19.52 % (1218468)CaDiCaL version: 2.1.3
% 73.45/19.52 % (1218468)Termination reason: Instruction limit
% 73.45/19.52 % (1218468)Termination phase: Saturation
% 73.45/19.52 % (1218468)Time elapsed: 8.924 s
% 73.45/19.52 % (1218468)Peak memory usage: 245 MB
% 73.45/19.52 % (1218468)Instructions burned: 14534 (million)
% 73.45/19.52 % (1218483)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=1106430275:i=2070:kws=inv_precedence:slsql=off:bd=all_2892 on theBenchmark for (2892ds/2070Mi)
% 73.45/19.52 % (1218483)Instruction limit reached!
% 73.45/19.52 % (1218483)------------------------------
% 73.45/19.52 % (1218483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.45/19.52 % (1218483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.45/19.52 % (1218483)CaDiCaL version: 2.1.3
% 73.45/19.52 % (1218483)Termination reason: Instruction limit
% 73.45/19.52 % (1218483)Termination phase: Saturation
% 73.45/19.52 % (1218483)Time elapsed: 1.168 s
% 73.45/19.52 % (1218483)Peak memory usage: 122 MB
% 73.45/19.52 % (1218483)Instructions burned: 2070 (million)
% 73.45/19.52 % (1218479)Instruction limit reached!
% 73.45/19.52 % (1218479)------------------------------
% 73.45/19.52 % (1218479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.45/19.52 % (1218479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.45/19.52 % (1218479)CaDiCaL version: 2.1.3
% 73.45/19.52 % (1218479)Termination reason: Instruction limit
% 73.45/19.52 % (1218479)Termination phase: Saturation
% 73.45/19.52 % (1218479)Time elapsed: 5.658 s
% 73.45/19.52 % (1218479)Peak memory usage: 245 MB
% 73.45/19.52 % (1218479)Instructions burned: 16431 (million)
% 73.45/19.52 % (1218485)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=1574425375:st=3:i=6461:fgj=on:bd=preordered:av=off:ss=axioms_2878 on theBenchmark for (2878ds/6461Mi)
% 73.45/19.52 % (1218486)lrs+10_6_to=lpo:lpd=off:sil=8000:tgt=ground:drc=off:sp=arity:spb=goal:fd=preordered:random_seed=1027720216:i=2310:bd=all:ss=included_2877 on theBenchmark for (2877ds/2310Mi)
% 73.45/19.52 % (1218486)Instruction limit reached!
% 73.45/19.52 % (1218486)------------------------------
% 73.45/19.52 % (1218486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.45/19.52 % (1218486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.45/19.52 % (1218486)CaDiCaL version: 2.1.3
% 73.45/19.52 % (1218486)Termination reason: Instruction limit
% 73.45/19.52 % (1218486)Termination phase: Saturation
% 73.45/19.52 % (1218486)Time elapsed: 0.727 s
% 73.45/19.52 % (1218486)Peak memory usage: 97 MB
% 73.45/19.52 % (1218486)Instructions burned: 2313 (million)
% 73.45/19.52 % (1218489)dis+11_1_sil=8000:fd=off:nwc=20:random_seed=1108697306:st=3:s2pl=on:i=2616:av=off:fsr=off:ss=axioms:sgt=8_2869 on theBenchmark for (2869ds/2616Mi)
% 73.45/19.52 % (1218489)Instruction limit reached!
% 73.45/19.52 % (1218489)------------------------------
% 73.45/19.52 % (1218489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.45/19.52 % (1218489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.45/19.52 % (1218489)CaDiCaL version: 2.1.3
% 73.45/19.52 % (1218489)Termination reason: Instruction limit
% 73.45/19.52 % (1218489)Termination phase: Saturation
% 73.45/19.52 % (1218489)Time elapsed: 0.835 s
% 73.45/19.52 % (1218489)Peak memory usage: 123 MB
% 73.45/19.52 % (1218489)Instructions burned: 2620 (million)
% 73.45/19.52 % (1218491)lrs+0_1_ncem=casc2026/models/loop3.pt:sil=32000:tgt=ground:npcc=on:sp=occurrence:urr=ec_only:fd=preordered:random_seed=431182697:i=30521:gtgl=2:kws=inv_arity:bd=all:gtg=exists_sym_2859 on theBenchmark for (2859ds/30521Mi)
% 73.45/19.52 % (1218485)Instruction limit reached!
% 73.45/19.52 % (1218485)------------------------------
% 73.45/19.52 % (1218485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.45/19.52 % (1218485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.45/19.52 % (1218485)CaDiCaL version: 2.1.3
% 73.45/19.52 % (1218485)Termination reason: Instruction limit
% 73.45/19.52 % (1218485)Termination phase: Saturation
% 73.45/19.52 % (1218485)Time elapsed: 3.706 s
% 73.45/19.52 % (1218485)Peak memory usage: 178 MB
% 73.45/19.52 % (1218485)Instructions burned: 6462 (million)
% 73.45/19.52 % (1218481)Instruction limit reached!
% 73.45/19.52 % (1218481)------------------------------
% 73.45/19.52 % (1218481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.45/19.52 % (1218481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.45/19.52 % (1218481)CaDiCaL version: 2.1.3
% 73.45/19.52 % (1218481)Termination reason: Instruction limit
% 73.45/19.52 % (1218481)Termination phase: Saturation
% 73.45/19.52 % (1218481)Time elapsed: 5.733 s
% 73.45/19.52 % (1218481)Peak memory usage: 195 MB
% 73.45/19.52 % (1218481)Instructions burned: 9357 (million)
% 73.45/19.52 % (1218493)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=177949206:i=3258:fgj=on:bd=all:ins=1_2839 on theBenchmark for (2839ds/3258Mi)
% 73.45/19.52 % (1218494)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:sp=reverse_frequency:kmz=on:random_seed=2418523951:i=5037:kws=precedence_2838 on theBenchmark for (2838ds/5037Mi)
% 73.45/19.52 % (1218493)Instruction limit reached!
% 73.45/19.52 % (1218493)------------------------------
% 73.45/19.52 % (1218493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.45/19.52 % (1218493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.45/19.52 % (1218493)CaDiCaL version: 2.1.3
% 73.45/19.52 % (1218493)Termination reason: Instruction limit
% 73.45/19.52 % (1218493)Termination phase: Saturation
% 73.45/19.52 % (1218493)Time elapsed: 1.883 s
% 73.45/19.52 % (1218493)Peak memory usage: 144 MB
% 73.45/19.52 % (1218493)Instructions burned: 3259 (million)
% 73.45/19.52 % (1218497)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:acc=on:urr=on:bsr=unit_only:br=off:random_seed=3233927965:i=65240_2819 on theBenchmark for (2819ds/65240Mi)
% 73.45/19.52 % (1218442)First to succeed.
% 73.45/19.52 % (1218442)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1218437"
% 73.45/19.52 % (1218442)Refutation found. Thanks to Tanya!
% 73.45/19.52 % SZS status Unsatisfiable for theBenchmark
% 73.45/19.52 % SZS output start Proof for theBenchmark
% See solution above
% 132.98/19.71 % (1218442)------------------------------
% 132.98/19.71 % (1218442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 132.98/19.71 % (1218442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 132.98/19.71 % (1218442)CaDiCaL version: 2.1.3
% 132.98/19.71 % (1218442)Termination reason: Refutation
% 132.98/19.71 % (1218442)Time elapsed: 18.167 s
% 132.98/19.71 % (1218442)Peak memory usage: 352 MB
% 132.98/19.71 % (1218442)Instructions burned: 28745 (million)
% 132.98/19.71 % (1218442)------------------------------
% 132.98/19.71 % (1218442)------------------------------
% 132.98/19.71 % (1218437)Success in time 18.659 s
% 132.98/19.71 % Vampire exiting
%------------------------------------------------------------------------------