%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP721-1 : 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 10:16:03 AM UTC 2026
% Result : Unsatisfiable 125.50s 35.67s
% Output : Refutation 247.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 93
% Number of leaves : 17
% Syntax : Number of formulae : 432 ( 432 unt; 9 def)
% Number of atoms : 432 ( 431 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-2 aty)
% Number of variables : 383 ( 383 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
fof(f2,negated_conjecture,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
fof(f3,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
fof(f4,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
fof(f5,axiom,
! [X0,X1] : mult(X0,X1) = mult(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
fof(f6,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',c06) ).
fof(f8,negated_conjecture,
! [X0,X1] : f(X0,X1) = ld(mult(ld(mult(X0,X1),X0),ld(mult(X0,X1),X1)),unit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
fof(f9,negated_conjecture,
mult(mult(a,a),mult(b,b)) != mult(f(a,b),f(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f10,plain,
mult(mult(a,a),mult(b,b)) != mult(ld(mult(ld(mult(a,b),a),ld(mult(a,b),b)),unit),ld(mult(ld(mult(a,b),a),ld(mult(a,b),b)),unit)),
inference(definition_unfolding,[],[f9,f8,f8]) ).
fof(f11,definition,
sF0 = mult(a,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f12,plain,
mult(a,a) = sF0,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF1 = mult(b,b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
mult(b,b) = sF1,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF2 = mult(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f16,plain,
mult(sF0,sF1) = sF2,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF3 = mult(a,b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
mult(a,b) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = ld(sF3,a),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
ld(sF3,a) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = ld(sF3,b),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
ld(sF3,b) = sF5,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF6 = mult(sF4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f24,plain,
mult(sF4,sF5) = sF6,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF7 = ld(sF6,unit),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f26,plain,
ld(sF6,unit) = sF7,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF8 = mult(sF7,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f28,plain,
mult(sF7,sF7) = sF8,
inference(reorient_equations,[],[f27]) ).
fof(f29,plain,
sF2 != sF8,
inference(definition_folding,[],[f10,f28,f26,f24,f22,f18,f20,f18,f26,f24,f22,f18,f20,f18,f16,f14,f12]) ).
fof(f34,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,[],[f6,f3]) ).
fof(f35,plain,
! [X2,X3,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),mult(X2,X3)))) = mult(ld(X0,mult(X1,mult(ld(X1,X0),X2))),ld(X0,mult(X1,mult(ld(X1,X0),X3)))),
inference(superposition,[],[f6,f3]) ).
fof(f36,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,[],[f6,f3]) ).
fof(f40,plain,
b = ld(a,sF3),
inference(superposition,[],[f4,f18]) ).
fof(f75,plain,
b = ld(b,sF1),
inference(superposition,[],[f4,f14]) ).
fof(f86,plain,
sF7 = ld(sF7,sF8),
inference(superposition,[],[f4,f28]) ).
fof(f105,plain,
unit = mult(sF6,sF7),
inference(superposition,[],[f3,f26]) ).
fof(f106,plain,
unit = mult(sF7,sF6),
inference(forward_demodulation,[],[f105,f5]) ).
fof(f115,plain,
! [X0,X1] : ld(X1,mult(X0,X1)) = X0,
inference(superposition,[],[f4,f5]) ).
fof(f162,plain,
! [X0,X1] : ld(ld(X1,X0),X0) = X1,
inference(superposition,[],[f115,f3]) ).
fof(f164,plain,
a = ld(b,sF3),
inference(superposition,[],[f115,f18]) ).
fof(f172,plain,
sF4 = ld(sF5,sF6),
inference(superposition,[],[f115,f24]) ).
fof(f173,plain,
sF5 = ld(sF4,sF6),
inference(superposition,[],[f4,f24]) ).
fof(f176,plain,
! [X0] : ld(unit,X0) = X0,
inference(superposition,[],[f115,f1]) ).
fof(f179,plain,
! [X0] : unit = ld(X0,X0),
inference(superposition,[],[f4,f1]) ).
fof(f201,plain,
! [X2,X0,X1] : ld(mult(X0,X1),mult(X0,mult(X1,mult(ld(X1,mult(X0,X1)),X2)))) = mult(X0,ld(mult(X0,X1),mult(X0,mult(X1,X2)))),
inference(superposition,[],[f36,f115]) ).
fof(f207,plain,
! [X2,X3,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),mult(ld(ld(X1,X0),X2),X3)))) = mult(ld(X0,mult(X1,X2)),ld(X0,mult(X1,mult(ld(X1,X0),X3)))),
inference(superposition,[],[f36,f3]) ).
fof(f250,plain,
! [X2,X0,X1] : mult(X0,ld(mult(X0,X1),mult(X0,mult(X1,X2)))) = ld(mult(X0,X1),mult(X0,mult(X1,mult(X0,X2)))),
inference(forward_demodulation,[],[f201,f115]) ).
fof(f286,plain,
! [X0,X1] : ld(mult(X0,a),mult(X0,mult(a,mult(a,ld(a,X1))))) = mult(ld(mult(X0,a),mult(X0,sF0)),ld(mult(X0,a),mult(X0,X1))),
inference(superposition,[],[f34,f12]) ).
fof(f288,plain,
! [X0,X1] : ld(mult(X0,b),mult(X0,mult(b,mult(b,ld(b,X1))))) = mult(ld(mult(X0,b),mult(X0,sF1)),ld(mult(X0,b),mult(X0,X1))),
inference(superposition,[],[f34,f14]) ).
fof(f291,plain,
! [X0,X1] : ld(mult(X0,sF7),mult(X0,mult(sF7,mult(sF7,ld(sF7,X1))))) = mult(ld(mult(X0,sF7),mult(X0,sF8)),ld(mult(X0,sF7),mult(X0,X1))),
inference(superposition,[],[f34,f28]) ).
fof(f313,plain,
! [X2,X3,X0,X1] : ld(mult(X1,X2),mult(X1,mult(X2,mult(X3,ld(X2,ld(X1,X0)))))) = mult(ld(mult(X1,X2),mult(X1,mult(X2,X3))),ld(mult(X1,X2),X0)),
inference(superposition,[],[f34,f3]) ).
fof(f322,plain,
! [X2,X0,X1] : ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,ld(X1,mult(X0,X1)))))) = mult(ld(mult(X0,X1),mult(X0,mult(X1,X2))),X0),
inference(superposition,[],[f34,f115]) ).
fof(f339,plain,
! [X2,X0,X1] : mult(X0,ld(mult(X0,X1),mult(X0,mult(X1,X2)))) = ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,ld(X1,mult(X0,X1)))))),
inference(forward_demodulation,[],[f322,f5]) ).
fof(f352,plain,
! [X0,X1] : ld(mult(X0,sF7),mult(X0,mult(sF7,X1))) = mult(ld(mult(X0,sF7),mult(X0,sF8)),ld(mult(X0,sF7),mult(X0,X1))),
inference(forward_demodulation,[],[f291,f3]) ).
fof(f353,plain,
! [X0,X1] : ld(mult(X0,b),mult(X0,mult(b,X1))) = mult(ld(mult(X0,b),mult(X0,sF1)),ld(mult(X0,b),mult(X0,X1))),
inference(forward_demodulation,[],[f288,f3]) ).
fof(f354,plain,
! [X0,X1] : ld(mult(X0,a),mult(X0,mult(a,X1))) = mult(ld(mult(X0,a),mult(X0,sF0)),ld(mult(X0,a),mult(X0,X1))),
inference(forward_demodulation,[],[f286,f3]) ).
fof(f358,plain,
! [X2,X0,X1] : mult(X0,ld(mult(X0,X1),mult(X0,mult(X1,X2)))) = ld(mult(X0,X1),mult(X0,mult(X1,mult(X2,X0)))),
inference(forward_demodulation,[],[f339,f115]) ).
fof(f384,plain,
sF6 = ld(sF7,unit),
inference(superposition,[],[f162,f26]) ).
fof(f463,plain,
! [X2,X3,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),X3))) = ld(ld(X0,mult(X1,mult(ld(X1,X0),X2))),ld(X0,mult(X1,mult(ld(X1,X0),mult(X2,X3))))),
inference(superposition,[],[f4,f35]) ).
fof(f698,plain,
! [X0] : ld(sF0,mult(a,mult(a,X0))) = mult(ld(sF0,mult(a,sF0)),ld(sF0,mult(a,X0))),
inference(superposition,[],[f354,f12]) ).
fof(f713,plain,
ld(mult(b,a),mult(b,mult(a,b))) = mult(ld(mult(b,a),mult(b,sF0)),ld(mult(b,a),sF1)),
inference(superposition,[],[f354,f14]) ).
fof(f748,plain,
ld(mult(b,a),mult(b,mult(a,b))) = mult(ld(mult(b,a),sF1),ld(mult(b,a),mult(b,sF0))),
inference(forward_demodulation,[],[f713,f5]) ).
fof(f761,plain,
! [X0] : ld(sF0,mult(a,mult(a,X0))) = mult(a,ld(sF0,mult(a,X0))),
inference(forward_demodulation,[],[f698,f115]) ).
fof(f771,plain,
ld(mult(b,a),mult(b,mult(a,b))) = mult(ld(mult(b,a),sF1),ld(mult(b,a),mult(sF0,b))),
inference(forward_demodulation,[],[f748,f5]) ).
fof(f786,plain,
ld(mult(a,b),mult(b,mult(a,b))) = mult(ld(mult(a,b),sF1),ld(mult(a,b),mult(sF0,b))),
inference(forward_demodulation,[],[f771,f5]) ).
fof(f795,plain,
ld(sF3,mult(b,sF3)) = mult(ld(sF3,sF1),ld(sF3,mult(sF0,b))),
inference(forward_demodulation,[],[f786,f18]) ).
fof(f802,plain,
b = mult(ld(sF3,sF1),ld(sF3,mult(sF0,b))),
inference(forward_demodulation,[],[f795,f115]) ).
fof(f814,plain,
! [X0] : ld(sF3,mult(a,mult(b,X0))) = mult(ld(sF3,mult(a,sF1)),ld(sF3,mult(a,X0))),
inference(superposition,[],[f353,f18]) ).
fof(f815,plain,
! [X0] : ld(sF1,mult(b,mult(b,X0))) = mult(ld(sF1,mult(b,sF1)),ld(sF1,mult(b,X0))),
inference(superposition,[],[f353,f14]) ).
fof(f878,plain,
! [X0] : ld(sF1,mult(b,mult(b,X0))) = mult(b,ld(sF1,mult(b,X0))),
inference(forward_demodulation,[],[f815,f115]) ).
fof(f879,plain,
! [X0] : ld(sF3,mult(a,mult(b,X0))) = mult(ld(sF3,mult(sF1,a)),ld(sF3,mult(a,X0))),
inference(forward_demodulation,[],[f814,f5]) ).
fof(f1199,plain,
! [X0] : ld(sF0,mult(a,X0)) = mult(a,ld(sF0,X0)),
inference(superposition,[],[f761,f3]) ).
fof(f1223,plain,
! [X0] : ld(sF0,mult(X0,a)) = mult(a,ld(sF0,X0)),
inference(superposition,[],[f1199,f5]) ).
fof(f1225,plain,
! [X0] : ld(sF0,X0) = mult(a,ld(sF0,ld(a,X0))),
inference(superposition,[],[f1199,f3]) ).
fof(f1284,plain,
! [X0] : ld(sF0,ld(a,X0)) = ld(a,ld(sF0,X0)),
inference(superposition,[],[f4,f1225]) ).
fof(f1295,plain,
! [X0] : ld(a,X0) = ld(sF0,ld(a,mult(sF0,X0))),
inference(superposition,[],[f1284,f4]) ).
fof(f1314,plain,
! [X0] : ld(a,mult(sF0,X0)) = mult(sF0,ld(a,X0)),
inference(superposition,[],[f3,f1295]) ).
fof(f1325,plain,
! [X0] : ld(a,mult(X0,sF0)) = mult(sF0,ld(a,X0)),
inference(superposition,[],[f1314,f5]) ).
fof(f1336,plain,
! [X0] : mult(sF0,X0) = mult(a,mult(sF0,ld(a,X0))),
inference(superposition,[],[f3,f1314]) ).
fof(f1355,plain,
! [X0] : mult(a,mult(sF0,X0)) = mult(sF0,mult(X0,a)),
inference(superposition,[],[f1336,f115]) ).
fof(f1529,plain,
! [X0] : ld(sF1,mult(b,X0)) = mult(b,ld(sF1,X0)),
inference(superposition,[],[f878,f3]) ).
fof(f1551,plain,
! [X0] : ld(sF1,mult(X0,b)) = mult(b,ld(sF1,X0)),
inference(superposition,[],[f1529,f5]) ).
fof(f2661,plain,
! [X2,X0,X1] : mult(ld(mult(X0,X2),mult(X0,mult(X2,X2))),ld(mult(X0,X2),X1)) = ld(mult(X0,X2),mult(X0,mult(X2,ld(X0,X1)))),
inference(superposition,[],[f313,f3]) ).
fof(f2847,plain,
ld(mult(sF7,sF7),mult(sF7,unit)) = mult(ld(mult(sF7,sF7),mult(sF7,sF8)),ld(mult(sF7,sF7),unit)),
inference(superposition,[],[f352,f106]) ).
fof(f2886,plain,
ld(mult(sF7,sF7),mult(sF7,unit)) = mult(ld(mult(sF7,sF7),unit),ld(mult(sF7,sF7),mult(sF7,sF8))),
inference(forward_demodulation,[],[f2847,f5]) ).
fof(f2941,plain,
ld(sF8,mult(sF7,unit)) = mult(ld(sF8,unit),ld(sF8,mult(sF7,sF8))),
inference(forward_demodulation,[],[f2886,f28]) ).
fof(f2986,plain,
ld(sF8,mult(sF7,unit)) = mult(ld(sF8,unit),sF7),
inference(forward_demodulation,[],[f2941,f115]) ).
fof(f3008,plain,
ld(sF8,mult(sF7,unit)) = mult(sF7,ld(sF8,unit)),
inference(forward_demodulation,[],[f2986,f5]) ).
fof(f3013,plain,
mult(sF7,ld(sF8,unit)) = ld(sF8,sF7),
inference(forward_demodulation,[],[f3008,f1]) ).
fof(f3016,plain,
ld(sF8,unit) = ld(sF7,ld(sF8,sF7)),
inference(superposition,[],[f4,f3013]) ).
fof(f3048,plain,
ld(sF3,sF1) = ld(ld(sF3,mult(sF0,b)),b),
inference(superposition,[],[f115,f802]) ).
fof(f3113,plain,
! [X0,X1] : mult(X0,ld(mult(X0,X1),mult(X0,mult(X1,unit)))) = ld(mult(X0,X1),mult(X0,mult(X1,X0))),
inference(superposition,[],[f358,f2]) ).
fof(f3162,plain,
! [X0] : mult(sF7,ld(mult(sF7,X0),mult(sF7,mult(X0,sF7)))) = ld(mult(sF7,X0),mult(sF7,mult(X0,sF8))),
inference(superposition,[],[f358,f28]) ).
fof(f3230,plain,
! [X0,X1] : ld(mult(X0,X1),mult(X0,mult(X1,X0))) = mult(X0,ld(mult(X0,X1),mult(X0,X1))),
inference(forward_demodulation,[],[f3113,f1]) ).
fof(f3258,plain,
! [X0,X1] : mult(X0,unit) = ld(mult(X0,X1),mult(X0,mult(X1,X0))),
inference(forward_demodulation,[],[f3230,f179]) ).
fof(f3277,plain,
! [X0,X1] : ld(mult(X0,X1),mult(X0,mult(X1,X0))) = X0,
inference(forward_demodulation,[],[f3258,f1]) ).
fof(f3287,plain,
! [X0] : mult(sF7,sF7) = ld(mult(sF7,X0),mult(sF7,mult(X0,sF8))),
inference(backward_demodulation,[],[f3162,f3277]) ).
fof(f3292,plain,
! [X0] : sF8 = ld(mult(sF7,X0),mult(sF7,mult(X0,sF8))),
inference(forward_demodulation,[],[f3287,f28]) ).
fof(f3412,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = mult(X0,mult(X1,X0)),
inference(superposition,[],[f3,f3277]) ).
fof(f3413,plain,
! [X0,X1] : mult(X0,mult(X1,X0)) = mult(X0,mult(X0,X1)),
inference(forward_demodulation,[],[f3412,f5]) ).
fof(f4084,plain,
sF8 = ld(unit,mult(sF7,mult(sF6,sF8))),
inference(superposition,[],[f3292,f106]) ).
fof(f4098,plain,
! [X0] : mult(sF7,mult(X0,sF8)) = mult(mult(sF7,X0),sF8),
inference(superposition,[],[f3,f3292]) ).
fof(f4099,plain,
! [X0] : mult(sF8,mult(sF7,X0)) = mult(sF7,mult(X0,sF8)),
inference(forward_demodulation,[],[f4098,f5]) ).
fof(f4107,plain,
sF8 = mult(sF7,mult(sF6,sF8)),
inference(forward_demodulation,[],[f4084,f176]) ).
fof(f4126,plain,
mult(sF8,ld(mult(sF8,sF7),mult(sF8,mult(sF7,sF6)))) = ld(mult(sF8,sF7),mult(sF8,sF8)),
inference(superposition,[],[f358,f4107]) ).
fof(f4129,plain,
ld(sF7,sF8) = mult(sF6,sF8),
inference(superposition,[],[f4,f4107]) ).
fof(f4155,plain,
sF7 = mult(sF6,sF8),
inference(forward_demodulation,[],[f4129,f86]) ).
fof(f4158,plain,
mult(sF8,ld(mult(sF7,sF8),mult(sF8,mult(sF7,sF6)))) = ld(mult(sF7,sF8),mult(sF8,sF8)),
inference(forward_demodulation,[],[f4126,f5]) ).
fof(f4176,plain,
ld(mult(sF7,sF8),mult(sF8,sF8)) = mult(sF8,ld(mult(sF7,sF8),mult(sF7,mult(sF6,sF8)))),
inference(forward_demodulation,[],[f4158,f4099]) ).
fof(f4189,plain,
ld(mult(sF7,sF8),mult(sF8,sF8)) = mult(sF8,ld(mult(sF7,sF8),mult(sF7,sF7))),
inference(forward_demodulation,[],[f4176,f4155]) ).
fof(f4198,plain,
ld(mult(sF7,sF8),mult(sF8,sF8)) = mult(sF8,ld(mult(sF7,sF8),sF8)),
inference(forward_demodulation,[],[f4189,f28]) ).
fof(f4210,plain,
sF6 = ld(sF8,sF7),
inference(superposition,[],[f115,f4155]) ).
fof(f4224,plain,
ld(sF8,unit) = ld(sF7,sF6),
inference(backward_demodulation,[],[f3016,f4210]) ).
fof(f4275,plain,
! [X0] : mult(sF8,X0) = mult(sF7,mult(ld(sF7,X0),sF8)),
inference(superposition,[],[f4099,f3]) ).
fof(f4277,plain,
mult(sF7,mult(sF7,sF8)) = mult(sF8,sF8),
inference(superposition,[],[f4099,f28]) ).
fof(f4314,plain,
! [X0] : mult(sF8,X0) = mult(sF7,mult(sF8,ld(sF7,X0))),
inference(forward_demodulation,[],[f4275,f5]) ).
fof(f4349,plain,
! [X0] : mult(sF8,mult(sF7,X0)) = mult(sF7,mult(sF8,X0)),
inference(superposition,[],[f4314,f4]) ).
fof(f4358,plain,
! [X0] : mult(sF8,ld(sF7,X0)) = ld(sF7,mult(sF8,X0)),
inference(superposition,[],[f4,f4314]) ).
fof(f4418,plain,
! [X0] : mult(sF7,X0) = ld(sF8,mult(sF7,mult(sF8,X0))),
inference(superposition,[],[f4,f4349]) ).
fof(f4481,plain,
! [X0] : ld(sF8,mult(sF7,X0)) = mult(sF7,ld(sF8,X0)),
inference(superposition,[],[f4418,f3]) ).
fof(f4524,plain,
! [X0] : mult(sF7,ld(sF8,X0)) = ld(sF8,mult(X0,sF7)),
inference(superposition,[],[f4481,f5]) ).
fof(f4529,plain,
! [X0] : ld(sF8,X0) = mult(sF7,ld(sF8,ld(sF7,X0))),
inference(superposition,[],[f4481,f3]) ).
fof(f4530,plain,
ld(sF8,unit) = mult(sF7,ld(sF8,sF6)),
inference(superposition,[],[f4481,f106]) ).
fof(f4548,plain,
ld(sF7,sF6) = mult(sF7,ld(sF8,sF6)),
inference(forward_demodulation,[],[f4530,f4224]) ).
fof(f4579,plain,
! [X0] : ld(sF7,ld(sF8,X0)) = ld(sF8,ld(sF7,X0)),
inference(superposition,[],[f4,f4529]) ).
fof(f4664,plain,
ld(sF8,sF6) = ld(sF7,ld(sF8,unit)),
inference(superposition,[],[f4579,f384]) ).
fof(f4681,plain,
ld(sF8,sF6) = ld(sF7,ld(sF7,sF6)),
inference(forward_demodulation,[],[f4664,f4224]) ).
fof(f4948,plain,
sF7 = ld(mult(sF7,sF8),mult(sF8,sF8)),
inference(superposition,[],[f115,f4277]) ).
fof(f4961,plain,
sF7 = mult(sF8,ld(mult(sF7,sF8),sF8)),
inference(backward_demodulation,[],[f4198,f4948]) ).
fof(f5244,plain,
ld(sF8,sF7) = ld(mult(sF7,sF8),sF8),
inference(superposition,[],[f4,f4961]) ).
fof(f5273,plain,
sF6 = ld(mult(sF7,sF8),sF8),
inference(forward_demodulation,[],[f5244,f4210]) ).
fof(f5315,plain,
sF8 = mult(mult(sF7,sF8),sF6),
inference(superposition,[],[f3,f5273]) ).
fof(f5316,plain,
sF8 = mult(sF6,mult(sF7,sF8)),
inference(forward_demodulation,[],[f5315,f5]) ).
fof(f5319,plain,
mult(sF8,ld(mult(sF8,sF6),mult(sF8,mult(sF6,sF7)))) = ld(mult(sF8,sF6),mult(sF8,sF8)),
inference(superposition,[],[f358,f5316]) ).
fof(f5320,plain,
! [X0] : ld(mult(sF6,sF7),mult(sF6,mult(sF7,mult(sF8,ld(sF7,X0))))) = mult(ld(mult(sF6,sF7),sF8),ld(mult(sF6,sF7),mult(sF6,X0))),
inference(superposition,[],[f34,f5316]) ).
fof(f5347,plain,
! [X0] : ld(mult(sF7,sF6),mult(sF6,mult(sF7,mult(sF8,ld(sF7,X0))))) = mult(ld(mult(sF7,sF6),sF8),ld(mult(sF7,sF6),mult(sF6,X0))),
inference(forward_demodulation,[],[f5320,f5]) ).
fof(f5348,plain,
mult(sF8,ld(mult(sF6,sF8),mult(sF8,mult(sF6,sF7)))) = ld(mult(sF6,sF8),mult(sF8,sF8)),
inference(forward_demodulation,[],[f5319,f5]) ).
fof(f5354,plain,
! [X0] : ld(unit,mult(sF6,mult(sF7,mult(sF8,ld(sF7,X0))))) = mult(ld(unit,sF8),ld(unit,mult(sF6,X0))),
inference(forward_demodulation,[],[f5347,f106]) ).
fof(f5355,plain,
ld(sF7,mult(sF8,sF8)) = mult(sF8,ld(sF7,mult(sF8,mult(sF6,sF7)))),
inference(forward_demodulation,[],[f5348,f4155]) ).
fof(f5359,plain,
! [X0] : ld(unit,mult(sF6,mult(sF7,mult(sF8,ld(sF7,X0))))) = mult(ld(unit,sF8),mult(sF6,X0)),
inference(forward_demodulation,[],[f5354,f176]) ).
fof(f5360,plain,
ld(sF7,mult(sF8,sF8)) = mult(sF8,mult(sF8,ld(sF7,mult(sF6,sF7)))),
inference(forward_demodulation,[],[f5355,f4358]) ).
fof(f5363,plain,
! [X0] : mult(sF8,mult(sF6,X0)) = ld(unit,mult(sF6,mult(sF7,mult(sF8,ld(sF7,X0))))),
inference(forward_demodulation,[],[f5359,f176]) ).
fof(f5364,plain,
mult(sF8,mult(sF8,sF6)) = ld(sF7,mult(sF8,sF8)),
inference(forward_demodulation,[],[f5360,f115]) ).
fof(f5367,plain,
! [X0] : mult(sF8,mult(sF6,X0)) = mult(sF6,mult(sF7,mult(sF8,ld(sF7,X0)))),
inference(forward_demodulation,[],[f5363,f176]) ).
fof(f5368,plain,
mult(sF8,mult(sF8,sF6)) = mult(sF8,ld(sF7,sF8)),
inference(forward_demodulation,[],[f5364,f4358]) ).
fof(f5370,plain,
! [X0] : mult(sF6,mult(sF8,X0)) = mult(sF8,mult(sF6,X0)),
inference(forward_demodulation,[],[f5367,f4314]) ).
fof(f5371,plain,
mult(sF8,sF7) = mult(sF8,mult(sF8,sF6)),
inference(forward_demodulation,[],[f5368,f86]) ).
fof(f5375,plain,
mult(sF8,sF7) = mult(sF8,mult(sF6,sF8)),
inference(forward_demodulation,[],[f5371,f3413]) ).
fof(f5379,plain,
mult(sF8,sF7) = mult(sF6,mult(sF8,sF8)),
inference(forward_demodulation,[],[f5375,f5370]) ).
fof(f5380,plain,
mult(sF7,sF8) = mult(sF6,mult(sF8,sF8)),
inference(forward_demodulation,[],[f5379,f5]) ).
fof(f5390,plain,
! [X0] : ld(mult(sF6,sF8),mult(sF6,mult(sF8,mult(sF8,ld(sF8,X0))))) = mult(ld(mult(sF6,sF8),mult(sF7,sF8)),ld(mult(sF6,sF8),mult(sF6,X0))),
inference(superposition,[],[f34,f5380]) ).
fof(f5415,plain,
! [X0] : ld(sF7,mult(sF6,mult(sF8,mult(sF8,ld(sF8,X0))))) = mult(ld(sF7,mult(sF7,sF8)),ld(sF7,mult(sF6,X0))),
inference(forward_demodulation,[],[f5390,f4155]) ).
fof(f5422,plain,
! [X0] : mult(sF8,ld(sF7,mult(sF6,X0))) = ld(sF7,mult(sF6,mult(sF8,mult(sF8,ld(sF8,X0))))),
inference(forward_demodulation,[],[f5415,f4]) ).
fof(f5427,plain,
! [X0] : ld(sF7,mult(sF6,mult(sF8,X0))) = mult(sF8,ld(sF7,mult(sF6,X0))),
inference(forward_demodulation,[],[f5422,f3]) ).
fof(f5462,plain,
! [X0] : mult(sF6,X0) = ld(sF8,mult(sF6,mult(sF8,X0))),
inference(superposition,[],[f4,f5370]) ).
fof(f5611,plain,
! [X0] : mult(sF6,ld(sF8,X0)) = ld(sF8,mult(sF6,X0)),
inference(superposition,[],[f5462,f3]) ).
fof(f5614,plain,
mult(sF6,sF6) = ld(sF8,mult(sF6,mult(sF6,sF8))),
inference(superposition,[],[f5462,f3413]) ).
fof(f5623,plain,
mult(sF6,sF6) = ld(sF8,mult(sF6,sF7)),
inference(forward_demodulation,[],[f5614,f4155]) ).
fof(f5642,plain,
mult(sF7,ld(sF8,sF6)) = mult(sF6,sF6),
inference(forward_demodulation,[],[f5623,f4524]) ).
fof(f5653,plain,
ld(sF7,sF6) = mult(sF6,sF6),
inference(backward_demodulation,[],[f4548,f5642]) ).
fof(f5660,plain,
ld(sF8,sF6) = ld(sF7,mult(sF6,sF6)),
inference(backward_demodulation,[],[f4681,f5653]) ).
fof(f5773,plain,
! [X0] : ld(sF8,X0) = mult(sF6,ld(sF8,ld(sF6,X0))),
inference(superposition,[],[f5611,f3]) ).
fof(f5823,plain,
! [X0] : mult(ld(mult(sF6,sF8),mult(sF6,mult(sF8,sF6))),ld(mult(sF6,sF8),X0)) = ld(mult(sF6,sF8),mult(sF6,mult(sF8,ld(sF8,X0)))),
inference(superposition,[],[f313,f5773]) ).
fof(f5857,plain,
! [X0] : ld(mult(sF6,sF8),mult(sF6,X0)) = mult(ld(mult(sF6,sF8),mult(sF6,mult(sF8,sF6))),ld(mult(sF6,sF8),X0)),
inference(forward_demodulation,[],[f5823,f3]) ).
fof(f5868,plain,
! [X0] : ld(sF7,mult(sF6,X0)) = mult(ld(sF7,mult(sF6,mult(sF8,sF6))),ld(sF7,X0)),
inference(forward_demodulation,[],[f5857,f4155]) ).
fof(f5877,plain,
! [X0] : ld(sF7,mult(sF6,X0)) = mult(mult(sF8,ld(sF7,mult(sF6,sF6))),ld(sF7,X0)),
inference(forward_demodulation,[],[f5868,f5427]) ).
fof(f5880,plain,
! [X0] : ld(sF7,mult(sF6,X0)) = mult(mult(sF8,ld(sF8,sF6)),ld(sF7,X0)),
inference(forward_demodulation,[],[f5877,f5660]) ).
fof(f5881,plain,
! [X0] : mult(sF6,ld(sF7,X0)) = ld(sF7,mult(sF6,X0)),
inference(forward_demodulation,[],[f5880,f3]) ).
fof(f5956,plain,
! [X0] : mult(sF6,X0) = mult(sF7,mult(sF6,ld(sF7,X0))),
inference(superposition,[],[f3,f5881]) ).
fof(f6054,plain,
! [X0] : mult(sF7,mult(sF6,X0)) = mult(sF6,mult(X0,sF7)),
inference(superposition,[],[f5956,f115]) ).
fof(f10728,plain,
! [X0,X1] : ld(mult(X0,X0),mult(X0,mult(X0,ld(X0,X1)))) = mult(X0,ld(mult(X0,X0),X1)),
inference(superposition,[],[f2661,f115]) ).
fof(f10784,plain,
! [X2,X0,X1] : mult(ld(X0,mult(X1,mult(ld(X1,X0),ld(X1,X0)))),ld(X0,X2)) = ld(X0,mult(X1,mult(ld(X1,X0),ld(X1,X2)))),
inference(superposition,[],[f2661,f3]) ).
fof(f10809,plain,
! [X0] : mult(ld(sF3,mult(a,mult(b,b))),ld(sF3,X0)) = ld(sF3,mult(a,mult(b,ld(a,X0)))),
inference(superposition,[],[f2661,f18]) ).
fof(f10903,plain,
! [X0] : ld(sF3,mult(a,mult(b,ld(a,X0)))) = mult(ld(sF3,mult(a,sF1)),ld(sF3,X0)),
inference(forward_demodulation,[],[f10809,f14]) ).
fof(f10923,plain,
! [X0,X1] : ld(mult(X0,X0),mult(X0,X1)) = mult(X0,ld(mult(X0,X0),X1)),
inference(forward_demodulation,[],[f10728,f3]) ).
fof(f10974,plain,
! [X0] : ld(sF3,mult(a,mult(b,ld(a,X0)))) = mult(ld(sF3,mult(sF1,a)),ld(sF3,X0)),
inference(forward_demodulation,[],[f10903,f5]) ).
fof(f11276,plain,
! [X0] : unit = mult(X0,ld(mult(X0,X0),X0)),
inference(superposition,[],[f179,f10923]) ).
fof(f11277,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,X0),mult(X0,ld(mult(X0,X0),X1))),
inference(superposition,[],[f3,f10923]) ).
fof(f12267,plain,
! [X0] : ld(X0,unit) = ld(mult(X0,X0),X0),
inference(superposition,[],[f4,f11276]) ).
fof(f12283,plain,
! [X0,X1] : mult(ld(unit,mult(X0,mult(ld(mult(X0,X0),X0),ld(mult(X0,X0),X0)))),ld(unit,X1)) = ld(unit,mult(X0,mult(ld(mult(X0,X0),X0),ld(X0,X1)))),
inference(superposition,[],[f2661,f11276]) ).
fof(f12339,plain,
! [X0,X1] : mult(X0,mult(ld(mult(X0,X0),X0),ld(X0,X1))) = mult(ld(unit,mult(X0,mult(ld(mult(X0,X0),X0),ld(mult(X0,X0),X0)))),ld(unit,X1)),
inference(forward_demodulation,[],[f12283,f176]) ).
fof(f12394,plain,
! [X0,X1] : mult(X0,mult(ld(mult(X0,X0),X0),ld(X0,X1))) = mult(ld(unit,mult(X0,mult(ld(mult(X0,X0),X0),ld(mult(X0,X0),X0)))),X1),
inference(forward_demodulation,[],[f12339,f176]) ).
fof(f12440,plain,
! [X0,X1] : mult(X0,mult(ld(mult(X0,X0),X0),ld(X0,X1))) = mult(mult(X0,mult(ld(mult(X0,X0),X0),ld(mult(X0,X0),X0))),X1),
inference(forward_demodulation,[],[f12394,f176]) ).
fof(f12477,plain,
! [X0,X1] : mult(X0,mult(ld(X0,unit),ld(X0,X1))) = mult(mult(X0,mult(ld(X0,unit),ld(X0,unit))),X1),
inference(forward_demodulation,[],[f12440,f12267]) ).
fof(f12569,plain,
! [X0] : mult(X0,X0) = ld(ld(X0,unit),X0),
inference(superposition,[],[f162,f12267]) ).
fof(f12620,plain,
! [X0] : ld(X0,ld(X0,unit)) = mult(ld(X0,unit),ld(X0,unit)),
inference(superposition,[],[f12569,f162]) ).
fof(f12646,plain,
! [X0,X1] : mult(X0,mult(ld(X0,unit),ld(X0,X1))) = mult(mult(X0,ld(X0,ld(X0,unit))),X1),
inference(backward_demodulation,[],[f12477,f12620]) ).
fof(f12660,plain,
! [X0,X1] : mult(ld(X0,unit),X1) = mult(X0,mult(ld(X0,unit),ld(X0,X1))),
inference(forward_demodulation,[],[f12646,f3]) ).
fof(f13184,plain,
! [X0,X1] : mult(ld(X0,unit),X1) = mult(X0,mult(ld(X0,X1),ld(X0,unit))),
inference(superposition,[],[f12660,f5]) ).
fof(f13195,plain,
! [X0,X1] : mult(ld(X0,unit),ld(X0,X1)) = ld(X0,mult(ld(X0,unit),X1)),
inference(superposition,[],[f4,f12660]) ).
fof(f13527,plain,
! [X0,X1] : mult(ld(X1,unit),ld(X1,X0)) = ld(X1,mult(X0,ld(X1,unit))),
inference(superposition,[],[f13195,f5]) ).
fof(f13866,plain,
! [X0,X1] : mult(X1,mult(mult(X1,X1),X0)) = mult(mult(X1,X1),mult(X1,X0)),
inference(superposition,[],[f11277,f4]) ).
fof(f14142,plain,
! [X0,X1] : mult(mult(X1,X1),X0) = mult(X1,mult(mult(X1,X1),ld(X1,X0))),
inference(superposition,[],[f13866,f3]) ).
fof(f14638,plain,
! [X0,X1] : mult(mult(X0,X0),X1) = mult(X0,mult(ld(X0,X1),mult(X0,X0))),
inference(superposition,[],[f14142,f5]) ).
fof(f14645,plain,
! [X0,X1] : ld(X0,mult(mult(X0,X0),X1)) = mult(mult(X0,X0),ld(X0,X1)),
inference(superposition,[],[f4,f14142]) ).
fof(f14652,plain,
! [X0,X1] : ld(mult(mult(X0,X0),ld(X0,X1)),mult(mult(X0,X0),X1)) = X0,
inference(superposition,[],[f115,f14142]) ).
fof(f16987,plain,
! [X0,X1] : ld(X0,mult(mult(X0,X0),X1)) = mult(ld(X0,X1),mult(X0,X0)),
inference(superposition,[],[f4,f14638]) ).
fof(f20244,plain,
mult(ld(sF3,mult(sF1,a)),ld(sF3,a)) = ld(sF3,mult(a,mult(b,unit))),
inference(superposition,[],[f10974,f179]) ).
fof(f20245,plain,
! [X0] : mult(a,mult(b,ld(a,X0))) = mult(sF3,mult(ld(sF3,mult(sF1,a)),ld(sF3,X0))),
inference(superposition,[],[f3,f10974]) ).
fof(f20261,plain,
mult(ld(sF3,mult(sF1,a)),ld(sF3,a)) = ld(sF3,mult(a,b)),
inference(forward_demodulation,[],[f20244,f1]) ).
fof(f20273,plain,
ld(sF3,sF3) = mult(ld(sF3,mult(sF1,a)),ld(sF3,a)),
inference(forward_demodulation,[],[f20261,f18]) ).
fof(f20281,plain,
ld(sF3,sF3) = mult(ld(sF3,a),ld(sF3,mult(sF1,a))),
inference(forward_demodulation,[],[f20273,f5]) ).
fof(f20285,plain,
ld(sF3,sF3) = mult(sF4,ld(sF3,mult(sF1,a))),
inference(forward_demodulation,[],[f20281,f20]) ).
fof(f20288,plain,
unit = mult(sF4,ld(sF3,mult(sF1,a))),
inference(forward_demodulation,[],[f20285,f179]) ).
fof(f20289,plain,
ld(sF3,mult(sF1,a)) = ld(sF4,unit),
inference(superposition,[],[f4,f20288]) ).
fof(f20337,plain,
! [X0] : ld(sF3,mult(a,mult(b,X0))) = mult(ld(sF4,unit),ld(sF3,mult(a,X0))),
inference(backward_demodulation,[],[f879,f20289]) ).
fof(f20356,plain,
! [X0] : ld(sF3,mult(a,mult(b,ld(a,X0)))) = mult(ld(sF4,unit),ld(sF3,X0)),
inference(backward_demodulation,[],[f10974,f20289]) ).
fof(f20365,plain,
! [X0] : mult(a,mult(b,ld(a,X0))) = mult(sF3,mult(ld(sF4,unit),ld(sF3,X0))),
inference(backward_demodulation,[],[f20245,f20289]) ).
fof(f20799,plain,
! [X0] : ld(sF3,mult(a,X0)) = ld(ld(sF4,unit),ld(sF3,mult(a,mult(b,X0)))),
inference(superposition,[],[f4,f20337]) ).
fof(f20937,plain,
! [X0] : ld(sF3,mult(a,ld(b,X0))) = ld(ld(sF4,unit),ld(sF3,mult(a,X0))),
inference(superposition,[],[f20799,f3]) ).
fof(f21531,plain,
mult(a,mult(b,ld(a,b))) = mult(sF3,mult(ld(sF4,unit),sF5)),
inference(superposition,[],[f20365,f22]) ).
fof(f21538,plain,
! [X0] : mult(sF3,mult(ld(sF4,unit),X0)) = mult(a,mult(b,ld(a,mult(sF3,X0)))),
inference(superposition,[],[f20365,f4]) ).
fof(f21603,plain,
mult(a,mult(b,ld(a,b))) = mult(sF3,mult(sF5,ld(sF4,unit))),
inference(forward_demodulation,[],[f21531,f5]) ).
fof(f22818,plain,
mult(b,ld(mult(b,a),mult(b,mult(a,ld(a,b))))) = ld(mult(b,a),mult(b,mult(sF3,mult(sF5,ld(sF4,unit))))),
inference(superposition,[],[f250,f21603]) ).
fof(f22861,plain,
mult(b,ld(mult(a,b),mult(b,mult(a,ld(a,b))))) = ld(mult(a,b),mult(b,mult(sF3,mult(sF5,ld(sF4,unit))))),
inference(forward_demodulation,[],[f22818,f5]) ).
fof(f22875,plain,
mult(b,ld(sF3,mult(b,mult(a,ld(a,b))))) = ld(sF3,mult(b,mult(sF3,mult(sF5,ld(sF4,unit))))),
inference(forward_demodulation,[],[f22861,f18]) ).
fof(f22883,plain,
ld(sF3,mult(b,mult(sF3,mult(sF5,ld(sF4,unit))))) = mult(b,ld(sF3,mult(b,b))),
inference(forward_demodulation,[],[f22875,f3]) ).
fof(f22889,plain,
mult(b,ld(sF3,sF1)) = ld(sF3,mult(b,mult(sF3,mult(sF5,ld(sF4,unit))))),
inference(forward_demodulation,[],[f22883,f14]) ).
fof(f27343,plain,
! [X0] : mult(b,ld(mult(b,a),mult(b,mult(a,ld(a,mult(sF3,X0)))))) = ld(mult(b,a),mult(b,mult(sF3,mult(ld(sF4,unit),X0)))),
inference(superposition,[],[f250,f21538]) ).
fof(f27394,plain,
! [X0] : mult(b,ld(mult(a,b),mult(b,mult(a,ld(a,mult(sF3,X0)))))) = ld(mult(a,b),mult(b,mult(sF3,mult(ld(sF4,unit),X0)))),
inference(forward_demodulation,[],[f27343,f5]) ).
fof(f27426,plain,
! [X0] : mult(b,ld(sF3,mult(b,mult(a,ld(a,mult(sF3,X0)))))) = ld(sF3,mult(b,mult(sF3,mult(ld(sF4,unit),X0)))),
inference(forward_demodulation,[],[f27394,f18]) ).
fof(f27443,plain,
! [X0] : ld(sF3,mult(b,mult(sF3,mult(ld(sF4,unit),X0)))) = mult(b,ld(sF3,mult(b,mult(sF3,X0)))),
inference(forward_demodulation,[],[f27426,f3]) ).
fof(f29179,plain,
mult(b,mult(sF3,mult(sF5,ld(sF4,unit)))) = mult(sF3,mult(b,ld(sF3,sF1))),
inference(superposition,[],[f3,f22889]) ).
fof(f32548,plain,
! [X0] : ld(ld(sF4,unit),ld(sF3,X0)) = ld(sF3,mult(a,ld(b,ld(a,X0)))),
inference(superposition,[],[f20937,f3]) ).
fof(f33909,plain,
! [X2,X3,X0,X1] : ld(X2,mult(X3,mult(ld(X3,X2),mult(X1,X0)))) = ld(ld(X2,mult(X3,mult(ld(X3,X2),X0))),ld(X2,mult(X3,mult(ld(X3,X2),mult(X0,mult(X0,X1)))))),
inference(superposition,[],[f463,f3413]) ).
fof(f34004,plain,
! [X2,X3,X0,X1] : ld(X1,mult(X2,mult(ld(X2,X1),ld(X3,X0)))) = ld(ld(X1,mult(X2,mult(ld(X2,X1),X3))),ld(X1,mult(X2,mult(ld(X2,X1),X0)))),
inference(superposition,[],[f463,f3]) ).
fof(f34301,plain,
! [X2,X3,X0,X1] : ld(X2,mult(X3,mult(ld(X3,X2),mult(X1,X0)))) = ld(X2,mult(X3,mult(ld(X3,X2),ld(X0,mult(X0,mult(X0,X1)))))),
inference(forward_demodulation,[],[f33909,f34004]) ).
fof(f34538,plain,
! [X2,X3,X0,X1] : ld(X2,mult(X3,mult(ld(X3,X2),mult(X1,X0)))) = ld(X2,mult(X3,mult(ld(X3,X2),mult(X0,X1)))),
inference(forward_demodulation,[],[f34301,f4]) ).
fof(f40006,plain,
! [X2,X3,X0,X1] : mult(X0,ld(X0,mult(X1,mult(ld(X1,X0),mult(X2,X3))))) = mult(X1,mult(ld(X1,X0),mult(X3,X2))),
inference(superposition,[],[f3,f34538]) ).
fof(f40045,plain,
! [X2,X3,X0,X1] : mult(X1,mult(ld(X1,X0),mult(X2,X3))) = mult(X1,mult(ld(X1,X0),mult(X3,X2))),
inference(forward_demodulation,[],[f40006,f3]) ).
fof(f40597,plain,
! [X2,X3,X0,X1] : mult(X1,mult(X0,mult(X2,X3))) = mult(X1,mult(X0,mult(X3,X2))),
inference(superposition,[],[f40045,f115]) ).
fof(f40922,plain,
! [X2,X0,X1] : mult(unit,mult(ld(unit,X0),mult(X1,X2))) = mult(ld(unit,X0),mult(X2,X1)),
inference(superposition,[],[f2,f40045]) ).
fof(f40994,plain,
! [X2,X0,X1] : mult(X0,mult(X2,X1)) = mult(unit,mult(X0,mult(X1,X2))),
inference(forward_demodulation,[],[f40922,f176]) ).
fof(f41132,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(X0,mult(X2,X1)),
inference(forward_demodulation,[],[f40994,f2]) ).
fof(f41906,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(mult(X2,X1),X0),
inference(superposition,[],[f5,f41132]) ).
fof(f41957,plain,
! [X2,X0,X1] : ld(X0,mult(mult(X0,X0),mult(X1,X2))) = mult(ld(X0,mult(X2,X1)),mult(X0,X0)),
inference(superposition,[],[f16987,f41132]) ).
fof(f42038,plain,
! [X2,X0,X1] : mult(mult(X0,X0),ld(X0,mult(X1,X2))) = mult(ld(X0,mult(X2,X1)),mult(X0,X0)),
inference(forward_demodulation,[],[f41957,f14645]) ).
fof(f42502,plain,
! [X2,X3,X0,X1] : mult(mult(X0,X1),mult(X2,X3)) = mult(mult(X1,X0),mult(X3,X2)),
inference(superposition,[],[f41906,f41906]) ).
fof(f42716,plain,
! [X2,X3,X0,X1] : mult(mult(X0,X1),mult(X2,X3)) = mult(mult(X3,X2),mult(X1,X0)),
inference(superposition,[],[f41132,f41906]) ).
fof(f45375,plain,
! [X2,X3,X0,X1,X4] : mult(X3,mult(X4,mult(X0,mult(X2,X1)))) = mult(X3,mult(X4,mult(X0,mult(X1,X2)))),
inference(superposition,[],[f40597,f41906]) ).
fof(f80762,plain,
! [X2,X0,X1] : ld(X0,mult(X2,X1)) = ld(mult(X0,X0),mult(mult(X0,X0),ld(X0,mult(X1,X2)))),
inference(superposition,[],[f115,f42038]) ).
fof(f80888,plain,
! [X2,X0,X1] : ld(X0,mult(X1,X2)) = ld(X0,mult(X2,X1)),
inference(forward_demodulation,[],[f80762,f4]) ).
fof(f81864,plain,
! [X2,X3,X0,X1] : ld(X3,mult(X0,mult(X1,X2))) = ld(X3,mult(X0,mult(X2,X1))),
inference(superposition,[],[f80888,f41906]) ).
fof(f81881,plain,
! [X2,X3,X0,X1] : ld(X3,mult(mult(X2,X1),X0)) = ld(X3,mult(X0,mult(X1,X2))),
inference(superposition,[],[f80888,f41132]) ).
fof(f91136,plain,
! [X0] : mult(b,ld(sF3,mult(b,mult(sF3,ld(sF3,mult(a,X0)))))) = ld(sF3,mult(b,mult(sF3,ld(sF3,mult(a,mult(b,X0)))))),
inference(superposition,[],[f27443,f20337]) ).
fof(f91138,plain,
! [X0] : ld(sF3,mult(b,mult(sF3,X0))) = mult(b,ld(sF3,mult(b,mult(sF3,ld(ld(sF4,unit),X0))))),
inference(superposition,[],[f27443,f3]) ).
fof(f91192,plain,
! [X0] : ld(sF3,mult(b,mult(a,mult(b,X0)))) = mult(b,ld(sF3,mult(b,mult(sF3,ld(sF3,mult(a,X0)))))),
inference(forward_demodulation,[],[f91136,f3]) ).
fof(f91228,plain,
! [X0] : mult(b,ld(sF3,mult(b,mult(a,X0)))) = ld(sF3,mult(b,mult(a,mult(b,X0)))),
inference(forward_demodulation,[],[f91192,f3]) ).
fof(f91321,plain,
! [X0] : ld(sF3,mult(b,mult(a,X0))) = mult(b,ld(sF3,mult(b,mult(a,ld(b,X0))))),
inference(superposition,[],[f91228,f3]) ).
fof(f91345,plain,
! [X0] : mult(b,mult(a,mult(b,X0))) = mult(sF3,mult(b,ld(sF3,mult(b,mult(a,X0))))),
inference(superposition,[],[f3,f91228]) ).
fof(f91561,plain,
! [X0] : ld(sF3,mult(b,mult(a,ld(b,X0)))) = ld(b,ld(sF3,mult(b,mult(a,X0)))),
inference(superposition,[],[f4,f91321]) ).
fof(f91890,plain,
! [X0] : mult(b,mult(a,mult(b,ld(a,X0)))) = mult(sF3,mult(b,ld(sF3,mult(b,X0)))),
inference(superposition,[],[f91345,f3]) ).
fof(f93370,plain,
ld(sF3,mult(b,mult(a,ld(b,a)))) = ld(b,ld(sF3,mult(b,sF0))),
inference(superposition,[],[f91561,f12]) ).
fof(f93432,plain,
ld(sF3,mult(b,mult(a,ld(b,a)))) = ld(b,ld(sF3,mult(sF0,b))),
inference(forward_demodulation,[],[f93370,f80888]) ).
fof(f93828,plain,
! [X0] : mult(a,mult(b,ld(a,X0))) = ld(b,mult(sF3,mult(b,ld(sF3,mult(b,X0))))),
inference(superposition,[],[f4,f91890]) ).
fof(f94263,plain,
! [X0] : mult(a,mult(b,ld(a,ld(b,X0)))) = ld(b,mult(sF3,mult(b,ld(sF3,X0)))),
inference(superposition,[],[f93828,f3]) ).
fof(f94525,plain,
! [X0] : mult(a,mult(b,ld(a,ld(b,mult(sF3,X0))))) = ld(b,mult(sF3,mult(b,X0))),
inference(superposition,[],[f94263,f4]) ).
fof(f95093,plain,
! [X0] : mult(ld(sF4,unit),ld(sF3,ld(b,mult(sF3,X0)))) = ld(sF3,ld(b,mult(sF3,mult(b,X0)))),
inference(superposition,[],[f20356,f94525]) ).
fof(f95109,plain,
! [X0] : mult(b,ld(a,ld(b,mult(sF3,X0)))) = ld(a,ld(b,mult(sF3,mult(b,X0)))),
inference(superposition,[],[f4,f94525]) ).
fof(f99216,plain,
! [X0,X1] : mult(ld(X1,unit),mult(X1,X0)) = mult(X1,mult(X0,ld(X1,unit))),
inference(superposition,[],[f13184,f4]) ).
fof(f107824,plain,
! [X0,X1] : mult(X0,ld(ld(X0,unit),X1)) = ld(ld(X0,unit),mult(X1,X0)),
inference(superposition,[],[f13527,f162]) ).
fof(f108978,plain,
! [X0] : mult(a,ld(b,ld(a,X0))) = mult(sF3,ld(ld(sF4,unit),ld(sF3,X0))),
inference(superposition,[],[f3,f32548]) ).
fof(f109112,plain,
! [X0] : mult(sF3,ld(ld(sF4,unit),X0)) = mult(a,ld(b,ld(a,mult(sF3,X0)))),
inference(superposition,[],[f108978,f4]) ).
fof(f111412,plain,
! [X0] : mult(ld(mult(a,b),mult(a,mult(b,a))),ld(mult(a,b),mult(sF3,X0))) = ld(mult(a,b),mult(a,mult(b,mult(sF3,ld(ld(sF4,unit),X0))))),
inference(superposition,[],[f313,f109112]) ).
fof(f111565,plain,
! [X0] : mult(ld(sF3,mult(a,mult(b,a))),ld(sF3,mult(sF3,X0))) = ld(sF3,mult(a,mult(b,mult(sF3,ld(ld(sF4,unit),X0))))),
inference(forward_demodulation,[],[f111412,f18]) ).
fof(f111679,plain,
! [X0] : ld(sF3,mult(a,mult(b,mult(sF3,ld(ld(sF4,unit),X0))))) = mult(ld(sF3,mult(a,mult(b,a))),X0),
inference(forward_demodulation,[],[f111565,f4]) ).
fof(f111717,plain,
! [X0] : ld(sF3,mult(a,mult(b,mult(sF3,ld(ld(sF4,unit),X0))))) = mult(ld(sF3,mult(a,mult(a,b))),X0),
inference(forward_demodulation,[],[f111679,f81864]) ).
fof(f111743,plain,
! [X0] : ld(sF3,mult(a,mult(b,mult(sF3,ld(ld(sF4,unit),X0))))) = mult(ld(sF3,mult(a,sF3)),X0),
inference(forward_demodulation,[],[f111717,f18]) ).
fof(f111758,plain,
! [X0] : mult(a,X0) = ld(sF3,mult(a,mult(b,mult(sF3,ld(ld(sF4,unit),X0))))),
inference(forward_demodulation,[],[f111743,f115]) ).
fof(f111814,plain,
! [X0] : mult(a,mult(b,mult(sF3,ld(ld(sF4,unit),X0)))) = mult(sF3,mult(a,X0)),
inference(superposition,[],[f3,f111758]) ).
fof(f112009,plain,
! [X0] : mult(b,mult(sF3,ld(ld(sF4,unit),X0))) = ld(a,mult(sF3,mult(a,X0))),
inference(superposition,[],[f4,f111814]) ).
fof(f112159,plain,
! [X0] : ld(sF3,mult(b,mult(sF3,X0))) = mult(b,ld(sF3,ld(a,mult(sF3,mult(a,X0))))),
inference(backward_demodulation,[],[f91138,f112009]) ).
fof(f113091,plain,
! [X0] : ld(a,ld(b,mult(sF3,ld(sF3,mult(b,mult(sF3,X0)))))) = mult(b,ld(a,ld(b,mult(sF3,ld(sF3,ld(a,mult(sF3,mult(a,X0)))))))),
inference(superposition,[],[f95109,f112159]) ).
fof(f113246,plain,
! [X0] : ld(a,ld(b,mult(sF3,ld(sF3,mult(b,mult(sF3,X0)))))) = mult(b,ld(a,ld(b,ld(a,mult(sF3,mult(a,X0)))))),
inference(forward_demodulation,[],[f113091,f3]) ).
fof(f113367,plain,
! [X0] : ld(a,ld(b,mult(b,mult(sF3,X0)))) = mult(b,ld(a,ld(b,ld(a,mult(sF3,mult(a,X0)))))),
inference(forward_demodulation,[],[f113246,f3]) ).
fof(f113388,plain,
! [X0] : ld(a,mult(sF3,X0)) = mult(b,ld(a,ld(b,ld(a,mult(sF3,mult(a,X0)))))),
inference(forward_demodulation,[],[f113367,f4]) ).
fof(f113495,plain,
! [X0] : ld(a,mult(sF3,ld(a,X0))) = mult(b,ld(a,ld(b,ld(a,mult(sF3,X0))))),
inference(superposition,[],[f113388,f3]) ).
fof(f115722,plain,
! [X0] : ld(a,mult(sF3,ld(a,mult(ld(sF4,unit),ld(sF3,X0))))) = mult(b,ld(a,ld(b,ld(a,mult(a,mult(b,ld(a,X0))))))),
inference(superposition,[],[f113495,f20365]) ).
fof(f115765,plain,
! [X0] : ld(a,mult(sF3,ld(a,ld(sF3,X0)))) = mult(b,ld(a,ld(b,ld(a,X0)))),
inference(superposition,[],[f113495,f3]) ).
fof(f116000,plain,
! [X0] : ld(a,mult(sF3,ld(a,mult(ld(sF4,unit),ld(sF3,X0))))) = mult(b,ld(a,ld(b,mult(b,ld(a,X0))))),
inference(forward_demodulation,[],[f115722,f4]) ).
fof(f116083,plain,
! [X0] : mult(b,ld(a,ld(a,X0))) = ld(a,mult(sF3,ld(a,mult(ld(sF4,unit),ld(sF3,X0))))),
inference(forward_demodulation,[],[f116000,f4]) ).
fof(f116174,plain,
! [X0] : mult(b,ld(a,ld(a,mult(sF3,X0)))) = ld(a,mult(sF3,ld(a,mult(ld(sF4,unit),X0)))),
inference(superposition,[],[f116083,f4]) ).
fof(f121057,plain,
! [X0] : ld(ld(sF4,unit),ld(sF3,mult(sF3,ld(a,ld(sF3,X0))))) = ld(sF3,mult(a,ld(b,mult(b,ld(a,ld(b,ld(a,X0))))))),
inference(superposition,[],[f32548,f115765]) ).
fof(f121102,plain,
! [X0] : ld(ld(sF4,unit),ld(sF3,mult(sF3,ld(a,ld(sF3,X0))))) = ld(sF3,mult(a,ld(a,ld(b,ld(a,X0))))),
inference(forward_demodulation,[],[f121057,f4]) ).
fof(f121154,plain,
! [X0] : ld(ld(sF4,unit),ld(sF3,mult(sF3,ld(a,ld(sF3,X0))))) = ld(sF3,ld(b,ld(a,X0))),
inference(forward_demodulation,[],[f121102,f3]) ).
fof(f121186,plain,
! [X0] : ld(ld(sF4,unit),ld(a,ld(sF3,X0))) = ld(sF3,ld(b,ld(a,X0))),
inference(forward_demodulation,[],[f121154,f4]) ).
fof(f123029,plain,
ld(sF3,ld(b,ld(a,mult(sF1,a)))) = ld(ld(sF4,unit),ld(a,ld(sF4,unit))),
inference(superposition,[],[f121186,f20289]) ).
fof(f123053,plain,
! [X0] : ld(a,ld(sF3,X0)) = mult(ld(sF4,unit),ld(sF3,ld(b,ld(a,X0)))),
inference(superposition,[],[f3,f121186]) ).
fof(f123113,plain,
ld(ld(sF4,unit),ld(a,ld(sF4,unit))) = ld(sF3,ld(b,sF1)),
inference(forward_demodulation,[],[f123029,f115]) ).
fof(f123147,plain,
ld(sF3,b) = ld(ld(sF4,unit),ld(a,ld(sF4,unit))),
inference(forward_demodulation,[],[f123113,f75]) ).
fof(f123174,plain,
sF5 = ld(ld(sF4,unit),ld(a,ld(sF4,unit))),
inference(forward_demodulation,[],[f123147,f22]) ).
fof(f123594,plain,
! [X0] : ld(a,ld(sF3,mult(X0,a))) = mult(ld(sF4,unit),ld(sF3,ld(b,X0))),
inference(superposition,[],[f123053,f115]) ).
fof(f123609,plain,
! [X2,X0,X1] : ld(a,ld(sF3,mult(mult(X2,X1),X0))) = mult(ld(sF4,unit),ld(sF3,ld(b,ld(a,mult(X0,mult(X1,X2)))))),
inference(superposition,[],[f123053,f81881]) ).
fof(f123779,plain,
! [X2,X0,X1] : ld(a,ld(sF3,mult(mult(X2,X1),X0))) = ld(a,ld(sF3,mult(X0,mult(X1,X2)))),
inference(forward_demodulation,[],[f123609,f123053]) ).
fof(f123795,plain,
! [X0] : ld(sF3,ld(b,mult(sF3,mult(b,X0)))) = ld(a,ld(sF3,mult(mult(sF3,X0),a))),
inference(backward_demodulation,[],[f95093,f123594]) ).
fof(f123896,plain,
! [X0] : ld(sF3,ld(b,mult(sF3,mult(b,X0)))) = ld(a,ld(sF3,mult(a,mult(X0,sF3)))),
inference(forward_demodulation,[],[f123795,f123779]) ).
fof(f124114,plain,
mult(ld(sF4,unit),sF5) = ld(a,ld(sF4,unit)),
inference(superposition,[],[f3,f123174]) ).
fof(f124160,plain,
mult(sF5,ld(sF4,unit)) = ld(a,ld(sF4,unit)),
inference(forward_demodulation,[],[f124114,f5]) ).
fof(f124224,plain,
ld(sF4,unit) = mult(a,mult(sF5,ld(sF4,unit))),
inference(superposition,[],[f3,f124160]) ).
fof(f134600,plain,
! [X0] : ld(sF3,mult(a,mult(X0,sF3))) = mult(a,ld(sF3,ld(b,mult(sF3,mult(b,X0))))),
inference(superposition,[],[f3,f123896]) ).
fof(f135224,plain,
! [X0] : ld(sF3,mult(a,mult(ld(b,X0),sF3))) = mult(a,ld(sF3,ld(b,mult(sF3,X0)))),
inference(superposition,[],[f134600,f3]) ).
fof(f135407,plain,
! [X0] : ld(sF3,mult(a,mult(sF3,ld(b,X0)))) = mult(a,ld(sF3,ld(b,mult(sF3,X0)))),
inference(forward_demodulation,[],[f135224,f81864]) ).
fof(f140677,plain,
! [X0] : mult(a,mult(sF3,ld(b,X0))) = mult(sF3,mult(a,ld(sF3,ld(b,mult(sF3,X0))))),
inference(superposition,[],[f3,f135407]) ).
fof(f141298,plain,
! [X0] : mult(a,mult(sF3,ld(b,mult(b,ld(sF3,mult(b,mult(a,X0))))))) = mult(sF3,mult(a,ld(sF3,ld(b,mult(b,mult(a,mult(b,X0))))))),
inference(superposition,[],[f140677,f91345]) ).
fof(f141611,plain,
! [X0] : mult(sF3,mult(a,ld(sF3,mult(a,mult(b,X0))))) = mult(a,mult(sF3,ld(b,mult(b,ld(sF3,mult(b,mult(a,X0))))))),
inference(forward_demodulation,[],[f141298,f4]) ).
fof(f141700,plain,
! [X0] : mult(sF3,mult(a,ld(sF3,mult(a,mult(b,X0))))) = mult(a,mult(sF3,ld(sF3,mult(b,mult(a,X0))))),
inference(forward_demodulation,[],[f141611,f4]) ).
fof(f141760,plain,
! [X0] : mult(a,mult(b,mult(a,X0))) = mult(sF3,mult(a,ld(sF3,mult(a,mult(b,X0))))),
inference(forward_demodulation,[],[f141700,f3]) ).
fof(f177921,plain,
mult(b,ld(a,ld(a,mult(sF3,sF0)))) = ld(a,mult(sF3,mult(sF0,ld(a,ld(sF4,unit))))),
inference(superposition,[],[f116174,f1325]) ).
fof(f178014,plain,
mult(b,ld(a,ld(a,mult(sF3,sF0)))) = ld(a,mult(sF3,mult(sF0,mult(sF5,ld(sF4,unit))))),
inference(forward_demodulation,[],[f177921,f124160]) ).
fof(f178075,plain,
ld(a,mult(sF3,mult(sF0,mult(sF5,ld(sF4,unit))))) = mult(b,ld(a,mult(sF0,ld(a,sF3)))),
inference(forward_demodulation,[],[f178014,f1325]) ).
fof(f178119,plain,
ld(a,mult(sF3,mult(sF0,mult(sF5,ld(sF4,unit))))) = mult(b,mult(sF0,ld(a,ld(a,sF3)))),
inference(forward_demodulation,[],[f178075,f1314]) ).
fof(f178138,plain,
mult(b,mult(sF0,ld(a,b))) = ld(a,mult(sF3,mult(sF0,mult(sF5,ld(sF4,unit))))),
inference(forward_demodulation,[],[f178119,f40]) ).
fof(f199032,plain,
! [X0,X1] : mult(ld(X1,mult(X0,unit)),ld(X1,mult(X0,mult(ld(X0,X1),ld(ld(X0,X1),unit))))) = ld(X1,mult(X0,mult(ld(X0,X1),ld(ld(X0,X1),ld(ld(X0,X1),unit))))),
inference(superposition,[],[f207,f12620]) ).
fof(f199222,plain,
! [X0,X1] : ld(X1,mult(X0,ld(ld(X0,X1),unit))) = mult(ld(X1,mult(X0,unit)),ld(X1,mult(X0,mult(ld(X0,X1),ld(ld(X0,X1),unit))))),
inference(forward_demodulation,[],[f199032,f3]) ).
fof(f199303,plain,
! [X0,X1] : ld(X1,mult(X0,ld(ld(X0,X1),unit))) = mult(ld(X1,mult(X0,unit)),ld(X1,mult(X0,unit))),
inference(forward_demodulation,[],[f199222,f3]) ).
fof(f199354,plain,
! [X0,X1] : mult(ld(X1,X0),ld(X1,X0)) = ld(X1,mult(X0,ld(ld(X0,X1),unit))),
inference(forward_demodulation,[],[f199303,f1]) ).
fof(f199654,plain,
mult(ld(b,sF3),ld(b,sF3)) = ld(b,mult(sF3,ld(sF5,unit))),
inference(superposition,[],[f199354,f22]) ).
fof(f199833,plain,
! [X0,X1] : mult(X0,mult(ld(X0,X1),ld(X0,X1))) = mult(X1,ld(ld(X1,X0),unit)),
inference(superposition,[],[f3,f199354]) ).
fof(f199899,plain,
! [X2,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),ld(X1,X2)))) = mult(ld(X0,mult(X0,ld(ld(X0,X1),unit))),ld(X0,X2)),
inference(backward_demodulation,[],[f10784,f199833]) ).
fof(f200045,plain,
mult(a,a) = ld(b,mult(sF3,ld(sF5,unit))),
inference(forward_demodulation,[],[f199654,f164]) ).
fof(f200159,plain,
! [X2,X0,X1] : ld(X0,mult(X1,mult(ld(X1,X0),ld(X1,X2)))) = mult(ld(ld(X0,X1),unit),ld(X0,X2)),
inference(forward_demodulation,[],[f199899,f4]) ).
fof(f200251,plain,
sF0 = ld(b,mult(sF3,ld(sF5,unit))),
inference(forward_demodulation,[],[f200045,f12]) ).
fof(f200845,plain,
! [X0] : ld(sF3,mult(b,mult(a,ld(b,X0)))) = mult(ld(ld(sF3,b),unit),ld(sF3,X0)),
inference(superposition,[],[f200159,f164]) ).
fof(f200937,plain,
! [X2,X0,X1] : ld(X1,mult(X2,mult(ld(X2,X1),X0))) = mult(ld(ld(X1,X2),unit),ld(X1,mult(X2,X0))),
inference(superposition,[],[f200159,f4]) ).
fof(f201215,plain,
! [X0] : mult(ld(ld(X0,sF7),unit),ld(X0,sF8)) = ld(X0,mult(sF7,mult(ld(sF7,X0),sF7))),
inference(superposition,[],[f200159,f86]) ).
fof(f201557,plain,
! [X0] : mult(ld(ld(X0,sF7),unit),ld(X0,sF8)) = ld(X0,mult(sF7,mult(sF7,ld(sF7,X0)))),
inference(forward_demodulation,[],[f201215,f81864]) ).
fof(f201803,plain,
! [X0] : ld(sF3,mult(b,mult(a,ld(b,X0)))) = mult(ld(sF5,unit),ld(sF3,X0)),
inference(forward_demodulation,[],[f200845,f22]) ).
fof(f201984,plain,
! [X0] : ld(X0,mult(sF7,X0)) = mult(ld(ld(X0,sF7),unit),ld(X0,sF8)),
inference(forward_demodulation,[],[f201557,f3]) ).
fof(f202104,plain,
! [X0] : ld(sF3,mult(b,mult(a,X0))) = mult(b,mult(ld(sF5,unit),ld(sF3,X0))),
inference(backward_demodulation,[],[f91321,f201803]) ).
fof(f202179,plain,
ld(b,ld(sF3,mult(sF0,b))) = mult(ld(sF5,unit),ld(sF3,a)),
inference(backward_demodulation,[],[f93432,f201803]) ).
fof(f202274,plain,
! [X0] : ld(X0,mult(sF7,X0)) = mult(ld(X0,sF8),ld(ld(X0,sF7),unit)),
inference(forward_demodulation,[],[f201984,f5]) ).
fof(f202330,plain,
ld(b,ld(sF3,mult(sF0,b))) = mult(ld(sF3,a),ld(sF5,unit)),
inference(forward_demodulation,[],[f202179,f5]) ).
fof(f202412,plain,
! [X0] : sF7 = mult(ld(X0,sF8),ld(ld(X0,sF7),unit)),
inference(forward_demodulation,[],[f202274,f115]) ).
fof(f202447,plain,
mult(sF4,ld(sF5,unit)) = ld(b,ld(sF3,mult(sF0,b))),
inference(forward_demodulation,[],[f202330,f20]) ).
fof(f202619,plain,
ld(sF3,mult(sF0,b)) = mult(b,mult(sF4,ld(sF5,unit))),
inference(superposition,[],[f3,f202447]) ).
fof(f202634,plain,
b = ld(mult(mult(b,b),mult(sF4,ld(sF5,unit))),mult(mult(b,b),ld(sF3,mult(sF0,b)))),
inference(superposition,[],[f14652,f202447]) ).
fof(f202662,plain,
b = ld(mult(sF1,mult(sF4,ld(sF5,unit))),mult(sF1,ld(sF3,mult(sF0,b)))),
inference(forward_demodulation,[],[f202634,f14]) ).
fof(f202711,plain,
mult(b,sF0) = mult(sF3,ld(sF5,unit)),
inference(superposition,[],[f3,f200251]) ).
fof(f202763,plain,
mult(sF0,b) = mult(sF3,ld(sF5,unit)),
inference(forward_demodulation,[],[f202711,f5]) ).
fof(f202845,plain,
ld(sF3,mult(sF0,b)) = ld(sF5,unit),
inference(superposition,[],[f4,f202763]) ).
fof(f203018,plain,
ld(sF3,sF1) = ld(ld(sF5,unit),b),
inference(backward_demodulation,[],[f3048,f202845]) ).
fof(f203097,plain,
mult(sF4,ld(sF5,unit)) = ld(b,ld(sF5,unit)),
inference(backward_demodulation,[],[f202447,f202845]) ).
fof(f203100,plain,
ld(sF5,unit) = mult(b,mult(sF4,ld(sF5,unit))),
inference(backward_demodulation,[],[f202619,f202845]) ).
fof(f203112,plain,
b = ld(mult(sF1,mult(sF4,ld(sF5,unit))),mult(sF1,ld(sF5,unit))),
inference(backward_demodulation,[],[f202662,f202845]) ).
fof(f204936,plain,
! [X0] : ld(sF3,mult(b,mult(ld(b,sF3),X0))) = mult(ld(sF5,unit),ld(sF3,mult(b,X0))),
inference(superposition,[],[f200937,f22]) ).
fof(f205359,plain,
! [X0,X1] : ld(X1,mult(X0,mult(ld(X0,X1),X1))) = mult(ld(ld(X1,X0),unit),X0),
inference(superposition,[],[f200937,f115]) ).
fof(f205541,plain,
! [X2,X0,X1] : ld(X0,mult(X1,X2)) = ld(ld(ld(X0,X1),unit),ld(X0,mult(X1,mult(ld(X1,X0),X2)))),
inference(superposition,[],[f4,f200937]) ).
fof(f206026,plain,
! [X0,X1] : mult(X0,ld(ld(X1,X0),unit)) = ld(X1,mult(X0,mult(ld(X0,X1),X1))),
inference(forward_demodulation,[],[f205359,f5]) ).
fof(f206320,plain,
! [X0] : ld(sF3,mult(b,mult(a,X0))) = mult(ld(sF5,unit),ld(sF3,mult(b,X0))),
inference(forward_demodulation,[],[f204936,f164]) ).
fof(f206543,plain,
! [X0,X1] : mult(X0,ld(ld(X1,X0),unit)) = ld(X1,mult(X0,mult(X1,ld(X0,X1)))),
inference(forward_demodulation,[],[f206026,f81864]) ).
fof(f207850,plain,
mult(ld(sF5,unit),ld(ld(b,ld(sF5,unit)),unit)) = ld(b,mult(ld(sF5,unit),mult(b,ld(sF3,sF1)))),
inference(superposition,[],[f206543,f203018]) ).
fof(f208433,plain,
ld(b,mult(ld(sF5,unit),mult(b,ld(sF3,sF1)))) = mult(ld(sF5,unit),ld(mult(sF4,ld(sF5,unit)),unit)),
inference(forward_demodulation,[],[f207850,f203097]) ).
fof(f209224,plain,
! [X0,X1] : mult(X1,mult(X0,X0)) = mult(mult(X0,X1),ld(ld(mult(X0,X1),X1),unit)),
inference(superposition,[],[f199833,f115]) ).
fof(f223585,plain,
! [X0] : ld(X0,sF8) = ld(ld(ld(X0,sF7),unit),sF7),
inference(superposition,[],[f115,f202412]) ).
fof(f228813,plain,
mult(mult(sF5,ld(sF4,unit)),mult(a,a)) = mult(ld(sF4,unit),ld(ld(ld(sF4,unit),mult(sF5,ld(sF4,unit))),unit)),
inference(superposition,[],[f209224,f124224]) ).
fof(f228831,plain,
mult(mult(sF4,ld(sF5,unit)),mult(b,b)) = mult(ld(sF5,unit),ld(ld(ld(sF5,unit),mult(sF4,ld(sF5,unit))),unit)),
inference(superposition,[],[f209224,f203100]) ).
fof(f229580,plain,
mult(mult(sF4,ld(sF5,unit)),mult(b,b)) = mult(ld(sF5,unit),ld(sF4,unit)),
inference(forward_demodulation,[],[f228831,f115]) ).
fof(f229596,plain,
mult(mult(sF5,ld(sF4,unit)),mult(a,a)) = mult(ld(sF4,unit),ld(sF5,unit)),
inference(forward_demodulation,[],[f228813,f115]) ).
fof(f229898,plain,
mult(ld(sF4,unit),ld(sF5,unit)) = mult(mult(sF4,ld(sF5,unit)),mult(b,b)),
inference(forward_demodulation,[],[f229580,f5]) ).
fof(f229910,plain,
mult(ld(sF4,unit),ld(sF5,unit)) = mult(mult(a,a),mult(ld(sF4,unit),sF5)),
inference(forward_demodulation,[],[f229596,f42716]) ).
fof(f230024,plain,
mult(ld(sF4,unit),ld(sF5,unit)) = mult(mult(b,b),mult(ld(sF5,unit),sF4)),
inference(forward_demodulation,[],[f229898,f42716]) ).
fof(f230033,plain,
mult(mult(a,a),mult(sF5,ld(sF4,unit))) = mult(ld(sF4,unit),ld(sF5,unit)),
inference(forward_demodulation,[],[f229910,f42502]) ).
fof(f230111,plain,
mult(ld(sF4,unit),ld(sF5,unit)) = mult(mult(b,b),mult(sF4,ld(sF5,unit))),
inference(forward_demodulation,[],[f230024,f42502]) ).
fof(f230115,plain,
mult(sF0,mult(sF5,ld(sF4,unit))) = mult(ld(sF4,unit),ld(sF5,unit)),
inference(forward_demodulation,[],[f230033,f12]) ).
fof(f230180,plain,
mult(ld(sF4,unit),ld(sF5,unit)) = mult(sF1,mult(sF4,ld(sF5,unit))),
inference(forward_demodulation,[],[f230111,f14]) ).
fof(f230243,plain,
mult(sF0,mult(sF5,ld(sF4,unit))) = mult(sF1,mult(sF4,ld(sF5,unit))),
inference(forward_demodulation,[],[f230180,f230115]) ).
fof(f230282,plain,
b = ld(mult(sF0,mult(sF5,ld(sF4,unit))),mult(sF1,ld(sF5,unit))),
inference(backward_demodulation,[],[f203112,f230243]) ).
fof(f232513,plain,
! [X0] : mult(b,mult(ld(sF5,unit),X0)) = ld(sF3,mult(b,mult(a,mult(sF3,X0)))),
inference(superposition,[],[f202104,f4]) ).
fof(f233782,plain,
! [X0] : ld(X0,mult(sF6,sF7)) = ld(ld(ld(X0,sF6),unit),ld(X0,mult(sF7,mult(sF6,ld(sF6,X0))))),
inference(superposition,[],[f205541,f6054]) ).
fof(f233949,plain,
! [X0] : ld(X0,mult(sF6,sF7)) = ld(ld(ld(X0,sF6),unit),ld(X0,mult(sF7,X0))),
inference(forward_demodulation,[],[f233782,f3]) ).
fof(f234566,plain,
! [X0] : ld(X0,mult(sF6,sF7)) = ld(ld(ld(X0,sF6),unit),sF7),
inference(forward_demodulation,[],[f233949,f115]) ).
fof(f234994,plain,
! [X0] : ld(X0,mult(sF7,sF6)) = ld(ld(ld(X0,sF6),unit),sF7),
inference(forward_demodulation,[],[f234566,f80888]) ).
fof(f235151,plain,
! [X0] : ld(X0,unit) = ld(ld(ld(X0,sF6),unit),sF7),
inference(forward_demodulation,[],[f234994,f106]) ).
fof(f235453,plain,
! [X0] : ld(ld(X0,sF6),unit) = ld(ld(X0,unit),sF7),
inference(superposition,[],[f162,f235151]) ).
fof(f235527,plain,
! [X0] : ld(X0,sF8) = ld(ld(ld(X0,sF7),sF6),unit),
inference(backward_demodulation,[],[f223585,f235453]) ).
fof(f235628,plain,
! [X0] : ld(ld(X0,sF6),unit) = ld(ld(X0,sF7),sF8),
inference(superposition,[],[f235527,f162]) ).
fof(f235832,plain,
! [X0] : ld(ld(X0,sF7),sF8) = ld(ld(X0,unit),sF7),
inference(backward_demodulation,[],[f235453,f235628]) ).
fof(f237562,plain,
ld(sF5,unit) = ld(ld(sF4,sF7),sF8),
inference(superposition,[],[f235628,f173]) ).
fof(f237563,plain,
ld(sF4,unit) = ld(ld(sF5,sF7),sF8),
inference(superposition,[],[f235628,f172]) ).
fof(f237892,plain,
sF7 = mult(ld(sF5,unit),ld(ld(ld(sF4,sF7),sF7),unit)),
inference(superposition,[],[f202412,f237562]) ).
fof(f237968,plain,
sF7 = mult(ld(sF5,unit),ld(sF4,unit)),
inference(forward_demodulation,[],[f237892,f162]) ).
fof(f237983,plain,
sF7 = mult(ld(sF4,unit),ld(sF5,unit)),
inference(forward_demodulation,[],[f237968,f5]) ).
fof(f237990,plain,
sF7 = mult(sF0,mult(sF5,ld(sF4,unit))),
inference(backward_demodulation,[],[f230115,f237983]) ).
fof(f237994,plain,
mult(b,mult(sF0,ld(a,b))) = ld(a,mult(sF3,sF7)),
inference(backward_demodulation,[],[f178138,f237990]) ).
fof(f238000,plain,
b = ld(sF7,mult(sF1,ld(sF5,unit))),
inference(backward_demodulation,[],[f230282,f237990]) ).
fof(f238018,plain,
mult(a,mult(b,mult(a,mult(sF0,ld(a,b))))) = mult(sF3,mult(a,ld(sF3,mult(a,ld(a,mult(sF3,sF7)))))),
inference(superposition,[],[f141760,f237994]) ).
fof(f238203,plain,
mult(a,mult(b,mult(a,mult(sF0,ld(a,b))))) = mult(sF3,mult(a,ld(sF3,mult(sF3,sF7)))),
inference(forward_demodulation,[],[f238018,f3]) ).
fof(f238280,plain,
mult(a,mult(b,mult(a,mult(sF0,ld(a,b))))) = mult(sF3,mult(a,sF7)),
inference(forward_demodulation,[],[f238203,f4]) ).
fof(f238335,plain,
mult(a,mult(b,mult(a,mult(sF0,ld(a,b))))) = mult(sF3,mult(sF7,a)),
inference(forward_demodulation,[],[f238280,f41132]) ).
fof(f238347,plain,
mult(sF3,mult(sF7,a)) = mult(a,mult(b,mult(sF0,mult(ld(a,b),a)))),
inference(forward_demodulation,[],[f238335,f1355]) ).
fof(f238353,plain,
mult(sF3,mult(sF7,a)) = mult(a,mult(b,mult(sF0,mult(a,ld(a,b))))),
inference(forward_demodulation,[],[f238347,f45375]) ).
fof(f238358,plain,
mult(a,mult(b,mult(sF0,b))) = mult(sF3,mult(sF7,a)),
inference(forward_demodulation,[],[f238353,f3]) ).
fof(f238369,plain,
ld(sF3,mult(a,ld(b,mult(b,mult(sF0,b))))) = ld(ld(sF4,unit),ld(sF3,mult(sF3,mult(sF7,a)))),
inference(superposition,[],[f20937,f238358]) ).
fof(f238558,plain,
ld(sF3,mult(a,ld(b,mult(b,mult(sF0,b))))) = ld(ld(sF4,unit),mult(sF7,a)),
inference(forward_demodulation,[],[f238369,f4]) ).
fof(f238635,plain,
ld(sF3,mult(a,mult(sF0,b))) = ld(ld(sF4,unit),mult(sF7,a)),
inference(forward_demodulation,[],[f238558,f4]) ).
fof(f238693,plain,
ld(sF3,mult(sF0,mult(b,a))) = ld(ld(sF4,unit),mult(sF7,a)),
inference(forward_demodulation,[],[f238635,f1355]) ).
fof(f238718,plain,
ld(sF3,mult(sF0,mult(a,b))) = ld(ld(sF4,unit),mult(sF7,a)),
inference(forward_demodulation,[],[f238693,f81864]) ).
fof(f238727,plain,
ld(sF3,mult(sF0,sF3)) = ld(ld(sF4,unit),mult(sF7,a)),
inference(forward_demodulation,[],[f238718,f18]) ).
fof(f238734,plain,
sF0 = ld(ld(sF4,unit),mult(sF7,a)),
inference(forward_demodulation,[],[f238727,f115]) ).
fof(f238761,plain,
ld(sF4,unit) = ld(sF0,mult(sF7,a)),
inference(superposition,[],[f162,f238734]) ).
fof(f238828,plain,
ld(sF4,unit) = mult(a,ld(sF0,sF7)),
inference(forward_demodulation,[],[f238761,f1223]) ).
fof(f239161,plain,
ld(a,ld(sF4,unit)) = ld(sF0,sF7),
inference(superposition,[],[f4,f238828]) ).
fof(f239336,plain,
mult(sF5,ld(sF4,unit)) = ld(sF0,sF7),
inference(backward_demodulation,[],[f124160,f239161]) ).
fof(f239434,plain,
mult(sF3,mult(b,ld(sF3,sF1))) = mult(b,mult(sF3,ld(sF0,sF7))),
inference(backward_demodulation,[],[f29179,f239336]) ).
fof(f239786,plain,
mult(ld(sF5,unit),ld(sF0,sF7)) = mult(sF5,mult(ld(sF4,unit),ld(sF5,unit))),
inference(superposition,[],[f99216,f239336]) ).
fof(f239795,plain,
mult(ld(sF5,unit),ld(sF0,sF7)) = mult(sF5,sF7),
inference(forward_demodulation,[],[f239786,f237983]) ).
fof(f239871,plain,
mult(sF7,sF5) = mult(ld(sF5,unit),ld(sF0,sF7)),
inference(forward_demodulation,[],[f239795,f5]) ).
fof(f239934,plain,
mult(sF7,sF5) = mult(ld(sF0,sF7),ld(sF5,unit)),
inference(forward_demodulation,[],[f239871,f5]) ).
fof(f241608,plain,
mult(sF7,b) = mult(sF1,ld(sF5,unit)),
inference(superposition,[],[f3,f238000]) ).
fof(f241768,plain,
ld(sF5,unit) = ld(sF1,mult(sF7,b)),
inference(superposition,[],[f4,f241608]) ).
fof(f241939,plain,
ld(sF5,unit) = mult(b,ld(sF1,sF7)),
inference(forward_demodulation,[],[f241768,f1551]) ).
fof(f242049,plain,
ld(b,ld(sF5,unit)) = ld(sF1,sF7),
inference(superposition,[],[f4,f241939]) ).
fof(f242224,plain,
mult(sF4,ld(sF5,unit)) = ld(sF1,sF7),
inference(backward_demodulation,[],[f203097,f242049]) ).
fof(f242328,plain,
ld(b,mult(ld(sF5,unit),mult(b,ld(sF3,sF1)))) = mult(ld(sF5,unit),ld(ld(sF1,sF7),unit)),
inference(backward_demodulation,[],[f208433,f242224]) ).
fof(f244318,plain,
ld(sF3,mult(b,mult(a,mult(sF3,ld(sF0,sF7))))) = mult(ld(sF5,unit),ld(sF3,mult(sF3,mult(b,ld(sF3,sF1))))),
inference(superposition,[],[f206320,f239434]) ).
fof(f244684,plain,
mult(ld(sF5,unit),mult(b,ld(sF3,sF1))) = ld(sF3,mult(b,mult(a,mult(sF3,ld(sF0,sF7))))),
inference(forward_demodulation,[],[f244318,f4]) ).
fof(f244807,plain,
mult(ld(sF5,unit),mult(b,ld(sF3,sF1))) = mult(b,mult(ld(sF5,unit),ld(sF0,sF7))),
inference(forward_demodulation,[],[f244684,f232513]) ).
fof(f244848,plain,
mult(ld(sF5,unit),mult(b,ld(sF3,sF1))) = mult(b,mult(ld(sF0,sF7),ld(sF5,unit))),
inference(forward_demodulation,[],[f244807,f41132]) ).
fof(f244868,plain,
mult(ld(sF5,unit),mult(b,ld(sF3,sF1))) = mult(b,mult(sF7,sF5)),
inference(forward_demodulation,[],[f244848,f239934]) ).
fof(f244886,plain,
mult(ld(sF5,unit),ld(ld(sF1,sF7),unit)) = ld(b,mult(b,mult(sF7,sF5))),
inference(backward_demodulation,[],[f242328,f244868]) ).
fof(f244899,plain,
mult(sF7,sF5) = mult(ld(sF5,unit),ld(ld(sF1,sF7),unit)),
inference(forward_demodulation,[],[f244886,f4]) ).
fof(f359674,plain,
ld(ld(sF1,sF7),unit) = ld(ld(sF5,unit),mult(sF7,sF5)),
inference(superposition,[],[f4,f244899]) ).
fof(f359863,plain,
ld(ld(sF1,sF7),unit) = mult(sF5,ld(ld(sF5,unit),sF7)),
inference(forward_demodulation,[],[f359674,f107824]) ).
fof(f359945,plain,
ld(ld(sF1,sF7),unit) = mult(sF5,ld(ld(sF5,sF7),sF8)),
inference(forward_demodulation,[],[f359863,f235832]) ).
fof(f359967,plain,
mult(sF5,ld(sF4,unit)) = ld(ld(sF1,sF7),unit),
inference(forward_demodulation,[],[f359945,f237563]) ).
fof(f359980,plain,
ld(sF0,sF7) = ld(ld(sF1,sF7),unit),
inference(forward_demodulation,[],[f359967,f239336]) ).
fof(f360098,plain,
ld(ld(sF0,sF7),sF7) = ld(ld(ld(sF1,sF7),sF7),sF8),
inference(superposition,[],[f235832,f359980]) ).
fof(f360228,plain,
ld(sF1,sF8) = ld(ld(sF0,sF7),sF7),
inference(forward_demodulation,[],[f360098,f162]) ).
fof(f360299,plain,
sF0 = ld(sF1,sF8),
inference(forward_demodulation,[],[f360228,f162]) ).
fof(f360432,plain,
sF8 = mult(sF1,sF0),
inference(superposition,[],[f3,f360299]) ).
fof(f360512,plain,
mult(sF0,sF1) = sF8,
inference(forward_demodulation,[],[f360432,f5]) ).
fof(f360531,plain,
sF2 = sF8,
inference(forward_demodulation,[],[f360512,f16]) ).
fof(f360539,plain,
$false,
inference(forward_subsumption_resolution,[],[f360531,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP721-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.32 % Computer : n012.cluster.edu
% 0.04/0.32 % Model : x86_64 x86_64
% 0.04/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.32 % Memory : 8046.5625MB
% 0.04/0.32 % OS : Linux 6.8.0-71-generic
% 0.04/0.32 % CPULimit : 300
% 0.04/0.32 % WCLimit : 300
% 0.04/0.32 % DateTime : Sun Sep 27 10:37:05 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.34 Running first-order theorem proving
% 0.04/0.34 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
% 47.70/7.31 % (2185955)Detected a unit-equality problem, will run specialized UEQ schedule.
% 47.70/7.31 % (2185963)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3202755695:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 47.70/7.31 % (2185964)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3716280377:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 47.70/7.31 % (2185966)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=993980102:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 47.70/7.31 % (2185961)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=3910665822:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 47.70/7.31 % (2185962)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=6994175:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 47.70/7.31 % (2185965)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3734328256:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 47.70/7.31 % (2185960)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=895162347:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 47.70/7.31 % (2185963)Instruction limit reached!
% 47.70/7.31 % (2185963)------------------------------
% 47.70/7.31 % (2185963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.70/7.31 % (2185963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.70/7.31 % (2185963)CaDiCaL version: 2.1.3
% 47.70/7.31 % (2185963)Termination reason: Instruction limit
% 47.70/7.31 % (2185963)Termination phase: Saturation
% 47.70/7.31 % (2185963)Time elapsed: 0.041 s
% 47.70/7.31 % (2185963)Peak memory usage: 88 MB
% 47.70/7.31 % (2185963)Instructions burned: 138 (million)
% 47.70/7.31 % (2185964)Instruction limit reached!
% 47.70/7.31 % (2185964)------------------------------
% 47.70/7.31 % (2185964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.70/7.31 % (2185964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.70/7.31 % (2185964)CaDiCaL version: 2.1.3
% 47.70/7.31 % (2185964)Termination reason: Instruction limit
% 47.70/7.31 % (2185964)Termination phase: Saturation
% 47.70/7.31 % (2185964)Time elapsed: 0.049 s
% 47.70/7.31 % (2185964)Peak memory usage: 89 MB
% 47.70/7.31 % (2185964)Instructions burned: 184 (million)
% 47.70/7.31 % (2185965)Instruction limit reached!
% 47.70/7.31 % (2185965)------------------------------
% 47.70/7.31 % (2185965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.70/7.31 % (2185965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.70/7.31 % (2185965)CaDiCaL version: 2.1.3
% 47.70/7.31 % (2185965)Termination reason: Instruction limit
% 47.70/7.31 % (2185965)Termination phase: Saturation
% 47.70/7.31 % (2185965)Time elapsed: 0.082 s
% 47.70/7.31 % (2185965)Peak memory usage: 90 MB
% 47.70/7.31 % (2185965)Instructions burned: 258 (million)
% 47.70/7.31 % (2185974)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=4059366634:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 47.70/7.31 % (2185975)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3918253705:i=4948:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/4948Mi)
% 47.70/7.31 % (2185976)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3518801047:i=215:ep=RSTC_2998 on theBenchmark for (2998ds/215Mi)
% 47.70/7.31 % (2185976)Instruction limit reached!
% 47.70/7.31 % (2185976)------------------------------
% 47.70/7.31 % (2185976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.70/7.31 % (2185976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.70/7.31 % (2185976)CaDiCaL version: 2.1.3
% 47.70/7.31 % (2185976)Termination reason: Instruction limit
% 47.70/7.31 % (2185976)Termination phase: Saturation
% 47.70/7.31 % (2185976)Time elapsed: 0.060 s
% 75.18/11.23 % (2185976)Peak memory usage: 89 MB
% 75.18/11.23 % (2185976)Instructions burned: 217 (million)
% 75.18/11.23 % (2185966)Instruction limit reached!
% 75.18/11.23 % (2185966)------------------------------
% 75.18/11.23 % (2185966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.18/11.23 % (2185966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.18/11.23 % (2185966)CaDiCaL version: 2.1.3
% 75.18/11.23 % (2185966)Termination reason: Instruction limit
% 75.18/11.23 % (2185966)Termination phase: Saturation
% 75.18/11.23 % (2185966)Time elapsed: 0.334 s
% 75.18/11.23 % (2185966)Peak memory usage: 95 MB
% 75.18/11.23 % (2185966)Instructions burned: 1187 (million)
% 75.18/11.23 % (2185980)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=3422015582:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2996 on theBenchmark for (2996ds/317Mi)
% 75.18/11.23 % (2185981)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=131245492:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2995 on theBenchmark for (2995ds/12125Mi)
% 75.18/11.24 % (2185980)Instruction limit reached!
% 75.18/11.24 % (2185980)------------------------------
% 75.18/11.24 % (2185980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.18/11.24 % (2185980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.18/11.24 % (2185980)CaDiCaL version: 2.1.3
% 75.18/11.24 % (2185980)Termination reason: Instruction limit
% 75.18/11.24 % (2185980)Termination phase: Saturation
% 75.18/11.24 % (2185980)Time elapsed: 0.094 s
% 75.18/11.24 % (2185980)Peak memory usage: 90 MB
% 75.18/11.24 % (2185980)Instructions burned: 317 (million)
% 75.18/11.24 % (2185984)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2593488558:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2994 on theBenchmark for (2994ds/2836Mi)
% 75.18/11.24 % (2185974)Instruction limit reached!
% 75.18/11.24 % (2185974)------------------------------
% 75.18/11.24 % (2185974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.18/11.24 % (2185974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.18/11.24 % (2185974)CaDiCaL version: 2.1.3
% 75.18/11.24 % (2185974)Termination reason: Instruction limit
% 75.18/11.24 % (2185974)Termination phase: Saturation
% 75.18/11.24 % (2185974)Time elapsed: 0.692 s
% 75.18/11.24 % (2185974)Peak memory usage: 140 MB
% 75.18/11.24 % (2185974)Instructions burned: 2051 (million)
% 75.18/11.24 % (2185986)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1222211993:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2990 on theBenchmark for (2990ds/14534Mi)
% 75.18/11.24 % (2185984)Instruction limit reached!
% 75.18/11.24 % (2185984)------------------------------
% 75.18/11.24 % (2185984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.18/11.24 % (2185984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.18/11.24 % (2185984)CaDiCaL version: 2.1.3
% 75.18/11.24 % (2185984)Termination reason: Instruction limit
% 75.18/11.24 % (2185984)Termination phase: Saturation
% 75.18/11.24 % (2185984)Time elapsed: 0.889 s
% 75.18/11.24 % (2185984)Peak memory usage: 118 MB
% 75.18/11.24 % (2185984)Instructions burned: 2836 (million)
% 75.18/11.24 % (2185988)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=1211711021:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2984 on theBenchmark for (2984ds/11832Mi)
% 75.18/11.24 % (2185975)Instruction limit reached!
% 75.18/11.24 % (2185975)------------------------------
% 75.18/11.24 % (2185975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 75.18/11.24 % (2185975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 75.18/11.24 % (2185975)CaDiCaL version: 2.1.3
% 75.18/11.24 % (2185975)Termination reason: Instruction limit
% 75.18/11.24 % (2185975)Termination phase: Saturation
% 75.18/11.24 % (2185975)Time elapsed: 1.608 s
% 75.18/11.24 % (2185975)Peak memory usage: 165 MB
% 75.18/11.24 % (2185975)Instructions burned: 4951 (million)
% 75.18/11.24 % (2185991)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=3721166263:i=2279:fgj=on:bd=all_2981 on theBenchmark for (2981ds/2279Mi)
% 75.18/11.24 % (2185991)Instruction limit reached!
% 75.18/11.24 % (2185991)------------------------------
% 126.96/19.12 % (2185991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.96/19.12 % (2185991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.96/19.12 % (2185991)CaDiCaL version: 2.1.3
% 126.96/19.12 % (2185991)Termination reason: Instruction limit
% 126.96/19.12 % (2185991)Termination phase: Saturation
% 126.96/19.12 % (2185991)Time elapsed: 0.748 s
% 126.96/19.12 % (2185991)Peak memory usage: 138 MB
% 126.96/19.12 % (2185991)Instructions burned: 2281 (million)
% 126.96/19.12 % (2185993)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=2982121524:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2972 on theBenchmark for (2972ds/6225Mi)
% 126.96/19.12 % (2185981)Instruction limit reached!
% 126.96/19.12 % (2185981)------------------------------
% 126.96/19.12 % (2185981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.96/19.12 % (2185981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.96/19.12 % (2185981)CaDiCaL version: 2.1.3
% 126.96/19.12 % (2185981)Termination reason: Instruction limit
% 126.96/19.12 % (2185981)Termination phase: Saturation
% 126.96/19.12 % (2185981)Time elapsed: 3.940 s
% 126.96/19.12 % (2185981)Peak memory usage: 231 MB
% 126.96/19.12 % (2185981)Instructions burned: 12126 (million)
% 126.96/19.12 % (2185995)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=4059343045:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2955 on theBenchmark for (2955ds/21755Mi)
% 126.96/19.12 % (2185993)Instruction limit reached!
% 126.96/19.12 % (2185993)------------------------------
% 126.96/19.12 % (2185993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.96/19.12 % (2185993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.96/19.12 % (2185993)CaDiCaL version: 2.1.3
% 126.96/19.12 % (2185993)Termination reason: Instruction limit
% 126.96/19.12 % (2185993)Termination phase: Saturation
% 126.96/19.12 % (2185993)Time elapsed: 1.800 s
% 126.96/19.12 % (2185993)Peak memory usage: 156 MB
% 126.96/19.12 % (2185993)Instructions burned: 6228 (million)
% 126.96/19.12 % (2185997)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=4141985540:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2953 on theBenchmark for (2953ds/16427Mi)
% 126.96/19.12 % (2185988)Instruction limit reached!
% 126.96/19.12 % (2185988)------------------------------
% 126.96/19.12 % (2185988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.96/19.12 % (2185988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.96/19.12 % (2185988)CaDiCaL version: 2.1.3
% 126.96/19.12 % (2185988)Termination reason: Instruction limit
% 126.96/19.12 % (2185988)Termination phase: Saturation
% 126.96/19.12 % (2185988)Time elapsed: 4.080 s
% 126.96/19.12 % (2185988)Peak memory usage: 217 MB
% 126.96/19.12 % (2185988)Instructions burned: 11833 (million)
% 126.96/19.12 % (2185999)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=4133977720:i=9356:fgj=on:bd=preordered:av=off_2942 on theBenchmark for (2942ds/9356Mi)
% 126.96/19.12 % (2185986)Instruction limit reached!
% 126.96/19.12 % (2185986)------------------------------
% 126.96/19.12 % (2185986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.96/19.12 % (2185986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.96/19.12 % (2185986)CaDiCaL version: 2.1.3
% 126.96/19.12 % (2185986)Termination reason: Instruction limit
% 126.96/19.12 % (2185986)Termination phase: Saturation
% 126.96/19.12 % (2185986)Time elapsed: 4.996 s
% 126.96/19.12 % (2185986)Peak memory usage: 246 MB
% 126.96/19.12 % (2185986)Instructions burned: 14535 (million)
% 126.96/19.12 % (2186001)dis+10_6_sil=8000:tgt=ground:prc=on:drc=ordering:spb=non_intro:fd=preordered:foolp=on:slsqc=1:slsq=on:random_seed=4017748657:i=2070:kws=inv_precedence:slsql=off:bd=all_2939 on theBenchmark for (2939ds/2070Mi)
% 126.96/19.12 % (2186001)Instruction limit reached!
% 126.96/19.12 % (2186001)------------------------------
% 126.96/19.12 % (2186001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.96/19.12 % (2186001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.96/19.12 % (2186001)CaDiCaL version: 2.1.3
% 126.96/19.12 % (2186001)Termination reason: Instruction limit
% 126.96/19.12 % (2186001)Termination phase: Saturation
% 125.50/35.67 % (2186001)Time elapsed: 0.633 s
% 125.50/35.67 % (2186001)Peak memory usage: 123 MB
% 125.50/35.67 % (2186001)Instructions burned: 2074 (million)
% 125.50/35.67 % (2186003)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=3386440415:st=3:i=6461:fgj=on:bd=preordered:av=off:ss=axioms_2932 on theBenchmark for (2932ds/6461Mi)
% 125.50/35.67 % (2185999)Instruction limit reached!
% 125.50/35.67 % (2185999)------------------------------
% 125.50/35.67 % (2185999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.50/35.67 % (2185999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.50/35.67 % (2185999)CaDiCaL version: 2.1.3
% 125.50/35.67 % (2185999)Termination reason: Instruction limit
% 125.50/35.67 % (2185999)Termination phase: Saturation
% 125.50/35.67 % (2185999)Time elapsed: 2.968 s
% 125.50/35.67 % (2185999)Peak memory usage: 202 MB
% 125.50/35.67 % (2185999)Instructions burned: 9356 (million)
% 125.50/35.67 % (2186005)lrs+10_6_to=lpo:lpd=off:sil=8000:tgt=ground:drc=off:sp=arity:spb=goal:fd=preordered:random_seed=2389498397:i=2310:bd=all:ss=included_2911 on theBenchmark for (2911ds/2310Mi)
% 125.50/35.67 % (2186003)Instruction limit reached!
% 125.50/35.67 % (2186003)------------------------------
% 125.50/35.67 % (2186003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.50/35.67 % (2186003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.50/35.67 % (2186003)CaDiCaL version: 2.1.3
% 125.50/35.67 % (2186003)Termination reason: Instruction limit
% 125.50/35.67 % (2186003)Termination phase: Saturation
% 125.50/35.67 % (2186003)Time elapsed: 2.080 s
% 125.50/35.67 % (2186003)Peak memory usage: 181 MB
% 125.50/35.67 % (2186003)Instructions burned: 6464 (million)
% 125.50/35.67 % (2186007)dis+11_1_sil=8000:fd=off:nwc=20:random_seed=3797666736:st=3:s2pl=on:i=2616:av=off:fsr=off:ss=axioms:sgt=8_2910 on theBenchmark for (2910ds/2616Mi)
% 125.50/35.67 % (2186005)Instruction limit reached!
% 125.50/35.67 % (2186005)------------------------------
% 125.50/35.67 % (2186005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.50/35.67 % (2186005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.50/35.67 % (2186005)CaDiCaL version: 2.1.3
% 125.50/35.67 % (2186005)Termination reason: Instruction limit
% 125.50/35.67 % (2186005)Termination phase: Saturation
% 125.50/35.67 % (2186005)Time elapsed: 0.690 s
% 125.50/35.67 % (2186005)Peak memory usage: 103 MB
% 125.50/35.67 % (2186005)Instructions burned: 2310 (million)
% 125.50/35.67 % (2186009)lrs+0_1_ncem=casc2026/models/loop3.pt:sil=32000:tgt=ground:npcc=on:sp=occurrence:urr=ec_only:fd=preordered:random_seed=3789055061:i=30521:gtgl=2:kws=inv_arity:bd=all:gtg=exists_sym_2903 on theBenchmark for (2903ds/30521Mi)
% 125.50/35.67 % (2186007)Instruction limit reached!
% 125.50/35.67 % (2186007)------------------------------
% 125.50/35.67 % (2186007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.50/35.67 % (2186007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.50/35.67 % (2186007)CaDiCaL version: 2.1.3
% 125.50/35.67 % (2186007)Termination reason: Instruction limit
% 125.50/35.67 % (2186007)Termination phase: Saturation
% 125.50/35.67 % (2186007)Time elapsed: 0.835 s
% 125.50/35.67 % (2186007)Peak memory usage: 116 MB
% 125.50/35.67 % (2186007)Instructions burned: 2618 (million)
% 125.50/35.67 % (2186011)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=216563126:i=3258:fgj=on:bd=all:ins=1_2901 on theBenchmark for (2901ds/3258Mi)
% 125.50/35.67 % (2185997)Instruction limit reached!
% 125.50/35.67 % (2185997)------------------------------
% 125.50/35.67 % (2185997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.50/35.67 % (2185997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.50/35.67 % (2185997)CaDiCaL version: 2.1.3
% 125.50/35.67 % (2185997)Termination reason: Instruction limit
% 125.50/35.67 % (2185997)Termination phase: Saturation
% 125.50/35.67 % (2185997)Time elapsed: 5.426 s
% 125.50/35.67 % (2185997)Peak memory usage: 222 MB
% 125.50/35.67 % (2185997)Instructions burned: 16430 (million)
% 125.50/35.67 % (2186013)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:sp=reverse_frequency:kmz=on:random_seed=3987522642:i=5037:kws=precedence_2898 on theBenchmark for (2898ds/5037Mi)
% 125.50/35.67 % (2185995)Instruction limit reached!
% 125.50/35.67 % (2185995)------------------------------
% 125.50/35.67 % (2185995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.50/35.67 % (2185995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.50/35.67 % (2185995)CaDiCaL version: 2.1.3
% 125.50/35.67 % (2185995)Termination reason: Instruction limit
% 125.50/35.67 % (2185995)Termination phase: Saturation
% 125.50/35.67 % (2185995)Time elapsed: 6.109 s
% 125.50/35.67 % (2185995)Peak memory usage: 300 MB
% 125.50/35.67 % (2185995)Instructions burned: 21758 (million)
% 125.50/35.67 % (2186015)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:acc=on:urr=on:bsr=unit_only:br=off:random_seed=638238647:i=65240_2892 on theBenchmark for (2892ds/65240Mi)
% 125.50/35.67 % (2186011)Instruction limit reached!
% 125.50/35.67 % (2186011)------------------------------
% 125.50/35.67 % (2186011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.50/35.67 % (2186011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.50/35.67 % (2186011)CaDiCaL version: 2.1.3
% 125.50/35.67 % (2186011)Termination reason: Instruction limit
% 125.50/35.67 % (2186011)Termination phase: Saturation
% 125.50/35.67 % (2186011)Time elapsed: 1.098 s
% 125.50/35.67 % (2186011)Peak memory usage: 153 MB
% 125.50/35.67 % (2186011)Instructions burned: 3259 (million)
% 125.50/35.67 % (2186017)lrs-1011_1_ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:fde=unused:sp=weighted_frequency:urr=ec_only:random_seed=4041979674:i=16502:kws=inv_precedence:fgj=on:bd=preordered:ins=3:av=off_2888 on theBenchmark for (2888ds/16502Mi)
% 125.50/35.67 % (2186013)Instruction limit reached!
% 125.50/35.67 % (2186013)------------------------------
% 125.50/35.67 % (2186013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.50/35.67 % (2186013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.50/35.67 % (2186013)CaDiCaL version: 2.1.3
% 125.50/35.67 % (2186013)Termination reason: Instruction limit
% 125.50/35.67 % (2186013)Termination phase: Saturation
% 125.50/35.67 % (2186013)Time elapsed: 1.628 s
% 125.50/35.67 % (2186013)Peak memory usage: 162 MB
% 125.50/35.67 % (2186013)Instructions burned: 5040 (million)
% 125.50/35.67 % (2186019)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=1637116093:i=7623:bd=preordered:er=filter_2881 on theBenchmark for (2881ds/7623Mi)
% 125.50/35.67 % (2186019)Instruction limit reached!
% 125.50/35.67 % (2186019)------------------------------
% 125.50/35.67 % (2186019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.50/35.67 % (2186019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.50/35.67 % (2186019)CaDiCaL version: 2.1.3
% 125.50/35.67 % (2186019)Termination reason: Instruction limit
% 125.50/35.67 % (2186019)Termination phase: Saturation
% 125.50/35.67 % (2186019)Time elapsed: 2.471 s
% 125.50/35.67 % (2186019)Peak memory usage: 186 MB
% 125.50/35.67 % (2186019)Instructions burned: 7625 (million)
% 125.50/35.67 % (2186254)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=1963250138:i=8183:kws=frequency:add=off:gsp=on_2855 on theBenchmark for (2855ds/8183Mi)
% 125.50/35.67 % (2186017)Instruction limit reached!
% 125.50/35.67 % (2186017)------------------------------
% 125.50/35.67 % (2186017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.50/35.67 % (2186017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.50/35.67 % (2186017)CaDiCaL version: 2.1.3
% 125.50/35.67 % (2186017)Termination reason: Instruction limit
% 125.50/35.67 % (2186017)Termination phase: Saturation
% 125.50/35.67 % (2186017)Time elapsed: 6.737 s
% 125.50/35.67 % (2186017)Peak memory usage: 257 MB
% 125.50/35.67 % (2186017)Instructions burned: 16502 (million)
% 125.50/35.67 % (2186321)lrs-1011_1_anc=all_dependent:ncem=casc2026/models/loop4.pt:sil=32000:npcc=on:bsr=unit_only:random_seed=966253185:i=8387_2820 on theBenchmark for (2820ds/8387Mi)
% 125.50/35.67 % (2186254)Instruction limit reached!
% 125.50/35.67 % (2186254)------------------------------
% 125.50/35.67 % (2186254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.50/35.67 % (2186254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.50/35.67 % (2186254)CaDiCaL version: 2.1.3
% 125.50/35.67 % (2186254)Termination reason: Instruction limit
% 125.50/35.67 % (2186254)Termination phase: Saturation
% 125.50/35.67 % (2186254)Time elapsed: 3.999 s
% 125.50/35.67 % (2186254)Peak memory usage: 198 MB
% 125.50/35.67 % (2186254)Instructions burned: 8185 (million)
% 125.50/35.67 % (2186325)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=2429283587:i=53964:kws=inv_arity_squared:fgj=on:bd=preordered_2814 on theBenchmark for (2814ds/53964Mi)
% 125.50/35.67 % (2186321)Instruction limit reached!
% 125.50/35.67 % (2186321)------------------------------
% 125.50/35.67 % (2186321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.50/35.67 % (2186321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.50/35.67 % (2186321)CaDiCaL version: 2.1.3
% 125.50/35.67 % (2186321)Termination reason: Instruction limit
% 125.50/35.67 % (2186321)Termination phase: Saturation
% 125.50/35.67 % (2186321)Time elapsed: 4.623 s
% 125.50/35.67 % (2186321)Peak memory usage: 192 MB
% 125.50/35.67 % (2186321)Instructions burned: 8389 (million)
% 125.50/35.67 % (2186337)lrs-1011_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:tgt=full:npcc=on:sp=reverse_frequency:spb=goal:lsd=20:urr=on:flr=on:random_seed=1839919827:i=10575:s2at=5:gtg=position_2772 on theBenchmark for (2772ds/10575Mi)
% 125.50/35.67 % (2186009)Instruction limit reached!
% 125.50/35.67 % (2186009)------------------------------
% 125.50/35.67 % (2186009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.50/35.67 % (2186009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.50/35.67 % (2186009)CaDiCaL version: 2.1.3
% 125.50/35.67 % (2186009)Termination reason: Instruction limit
% 125.50/35.67 % (2186009)Termination phase: Saturation
% 125.50/35.67 % (2186009)Time elapsed: 14.445 s
% 125.50/35.67 % (2186009)Peak memory usage: 317 MB
% 125.50/35.67 % (2186009)Instructions burned: 30523 (million)
% 125.50/35.67 % (2186341)ott-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=ground:npcc=on:lsd=50:urr=ec_only:random_seed=2447972610:i=12036:s2at=3:gtgl=2:kws=frequency:add=off:fgj=on:bd=preordered:ins=2:gtg=exists_sym_2758 on theBenchmark for (2758ds/12036Mi)
% 125.50/35.67 % (2186337)Instruction limit reached!
% 125.50/35.67 % (2186337)------------------------------
% 125.50/35.67 % (2186337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.50/35.67 % (2186337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.50/35.67 % (2186337)CaDiCaL version: 2.1.3
% 125.50/35.67 % (2186337)Termination reason: Instruction limit
% 125.50/35.67 % (2186337)Termination phase: Saturation
% 125.50/35.67 % (2186337)Time elapsed: 5.682 s
% 125.50/35.67 % (2186337)Peak memory usage: 206 MB
% 125.50/35.67 % (2186337)Instructions burned: 10576 (million)
% 125.50/35.67 % (2186347)lrs+1011_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=none:sp=const_frequency:spb=goal:fd=preordered:random_seed=2092168227:i=16065:fgj=on:bd=preordered:av=off_2714 on theBenchmark for (2714ds/16065Mi)
% 125.50/35.67 % (2186341)Instruction limit reached!
% 125.50/35.67 % (2186341)------------------------------
% 125.50/35.67 % (2186341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.50/35.67 % (2186341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.50/35.67 % (2186341)CaDiCaL version: 2.1.3
% 125.50/35.67 % (2186341)Termination reason: Instruction limit
% 125.50/35.67 % (2186341)Termination phase: Saturation
% 125.50/35.67 % (2186341)Time elapsed: 7.004 s
% 125.50/35.67 % (2186341)Peak memory usage: 239 MB
% 125.50/35.67 % (2186341)Instructions burned: 12036 (million)
% 125.50/35.67 % (2186351)dis-1011_1_to=kbo:ncem=casc2026/models/loop4.pt:sil=64000:tgt=ground:npcc=on:sp=arity:spb=non_intro:random_seed=1037438709:st=8.34:cond=on:i=28442:gtgl=3:sd=8:gtg=all:ss=included_2686 on theBenchmark for (2686ds/28442Mi)
% 125.50/35.67 % (2185962)First to succeed.
% 125.50/35.67 % (2185962)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2185955"
% 125.50/35.67 % (2185962)Refutation found. Thanks to Tanya!
% 125.50/35.67 % SZS status Unsatisfiable for theBenchmark
% 125.50/35.67 % SZS output start Proof for theBenchmark
% See solution above
% 247.73/35.83 % (2185962)------------------------------
% 247.73/35.83 % (2185962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 247.73/35.83 % (2185962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 247.73/35.83 % (2185962)CaDiCaL version: 2.1.3
% 247.73/35.83 % (2185962)Termination reason: Refutation
% 247.73/35.83 % (2185962)Time elapsed: 34.603 s
% 247.73/35.83 % (2185962)Peak memory usage: 593 MB
% 247.73/35.83 % (2185962)Instructions burned: 74571 (million)
% 247.73/35.83 % (2185962)------------------------------
% 247.73/35.83 % (2185962)------------------------------
% 247.73/35.83 % (2185955)Success in time 35.132 s
% 247.73/35.83 % Vampire exiting
%------------------------------------------------------------------------------