%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE152+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 11:40:30 AM UTC 2026
% Result : Theorem 144.02s 28.11s
% Output : Refutation 192.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 25
% Syntax : Number of formulae : 317 ( 275 unt; 7 def)
% Number of atoms : 361 ( 282 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 91 ( 47 ~; 39 |; 1 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 412 ( 0 sgn 410 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
fof(f10,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f11,axiom,
! [X0] : addition(one,multiplication(X0,star(X0))) = star(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold1) ).
fof(f12,axiom,
! [X0] : addition(one,multiplication(star(X0),X0)) = star(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold2) ).
fof(f13,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X2),X1),X2)
=> leq(multiplication(star(X0),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_induction1) ).
fof(f15,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infty_unfold1) ).
fof(f16,axiom,
! [X0,X1,X2] :
( leq(X2,addition(multiplication(X0,X2),X1))
=> leq(X2,multiplication(strong_iteration(X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infty_coinduction) ).
fof(f17,axiom,
! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isolation) ).
fof(f18,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f19,conjecture,
! [X0,X1] : leq(multiplication(strong_iteration(multiplication(X0,X1)),X0),multiplication(X0,strong_iteration(multiplication(X1,X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1] : leq(multiplication(strong_iteration(multiplication(X0,X1)),X0),multiplication(X0,strong_iteration(multiplication(X1,X0)))),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X1),X2)
| ~ leq(addition(multiplication(X0,X2),X1),X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f23,plain,
! [X0,X1,X2] :
( leq(X2,multiplication(strong_iteration(X0),X1))
| ~ leq(X2,addition(multiplication(X0,X2),X1)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f24,plain,
? [X0,X1] : ~ leq(multiplication(strong_iteration(multiplication(X0,X1)),X0),multiplication(X0,strong_iteration(multiplication(X1,X0)))),
inference(ennf_transformation,[],[f20]) ).
fof(f25,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f26,plain,
~ leq(multiplication(strong_iteration(multiplication(sK0,sK1)),sK0),multiplication(sK0,strong_iteration(multiplication(sK1,sK0)))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f24]) ).
fof(f27,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f29,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f30,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f32,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f33,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f34,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f35,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f36,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f37,plain,
! [X0] : star(X0) = addition(one,multiplication(X0,star(X0))),
inference(cnf_transformation,[],[f11]) ).
fof(f38,plain,
! [X0] : star(X0) = addition(one,multiplication(star(X0),X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X2),X1),X2)
| leq(multiplication(star(X0),X1),X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f41,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[],[f15]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ leq(X2,addition(multiplication(X0,X2),X1))
| leq(X2,multiplication(strong_iteration(X0),X1)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f43,plain,
! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
inference(cnf_transformation,[],[f17]) ).
fof(f44,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f45,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f46,plain,
~ leq(multiplication(strong_iteration(multiplication(sK0,sK1)),sK0),multiplication(sK0,strong_iteration(multiplication(sK1,sK0)))),
inference(cnf_transformation,[],[f26]) ).
fof(f47,definition,
sF2 = multiplication(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f48,plain,
multiplication(sK0,sK1) = sF2,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF3 = strong_iteration(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f50,plain,
strong_iteration(sF2) = sF3,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF4 = multiplication(sF3,sK0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f52,plain,
multiplication(sF3,sK0) = sF4,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF5 = multiplication(sK1,sK0),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f54,plain,
multiplication(sK1,sK0) = sF5,
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
sF6 = strong_iteration(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f56,plain,
strong_iteration(sF5) = sF6,
inference(reorient_equations,[],[f55]) ).
fof(f57,definition,
sF7 = multiplication(sK0,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f58,plain,
multiplication(sK0,sF6) = sF7,
inference(reorient_equations,[],[f57]) ).
fof(f59,plain,
~ leq(sF4,sF7),
inference(definition_folding,[],[f46,f58,f56,f54,f52,f50,f48]) ).
fof(f60,plain,
! [X0] : multiplication(sF3,addition(sK0,X0)) = addition(sF4,multiplication(sF3,X0)),
inference(superposition,[],[f34,f52]) ).
fof(f67,plain,
! [X0] : multiplication(sK1,addition(X0,sK0)) = addition(multiplication(sK1,X0),sF5),
inference(superposition,[],[f34,f54]) ).
fof(f70,plain,
! [X0] : multiplication(sK0,multiplication(sK1,X0)) = multiplication(sF2,X0),
inference(superposition,[],[f31,f48]) ).
fof(f71,plain,
! [X0] : multiplication(sK1,multiplication(sK0,X0)) = multiplication(sF5,X0),
inference(superposition,[],[f31,f54]) ).
fof(f72,plain,
! [X0] : multiplication(sF3,multiplication(sK0,X0)) = multiplication(sF4,X0),
inference(superposition,[],[f31,f52]) ).
fof(f83,plain,
! [X2,X0,X1] :
( multiplication(X0,addition(X1,X2)) != multiplication(X0,X2)
| leq(multiplication(X0,X1),multiplication(X0,X2)) ),
inference(superposition,[],[f45,f34]) ).
fof(f88,plain,
! [X2,X0,X1] : addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X2,X1)),
inference(superposition,[],[f34,f27]) ).
fof(f89,plain,
! [X0,X1] :
( addition(X0,X1) != X0
| leq(X1,X0) ),
inference(superposition,[],[f45,f27]) ).
fof(f90,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = multiplication(X0,addition(X2,X1)),
inference(forward_demodulation,[],[f88,f34]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ leq(X2,addition(X0,multiplication(X1,X2)))
| leq(X2,multiplication(strong_iteration(X1),X0)) ),
inference(superposition,[],[f42,f27]) ).
fof(f102,plain,
sF3 = addition(multiplication(sF2,sF3),one),
inference(superposition,[],[f41,f50]) ).
fof(f112,plain,
! [X2,X3,X0,X1] : multiplication(addition(multiplication(X0,X1),X3),X2) = addition(multiplication(X0,multiplication(X1,X2)),multiplication(X3,X2)),
inference(superposition,[],[f35,f31]) ).
fof(f116,plain,
! [X0] : multiplication(addition(sF3,X0),sK0) = addition(sF4,multiplication(X0,sK0)),
inference(superposition,[],[f35,f52]) ).
fof(f117,plain,
! [X2,X3,X0,X1] : multiplication(addition(X3,multiplication(X0,X1)),X2) = addition(multiplication(X3,X2),multiplication(X0,multiplication(X1,X2))),
inference(superposition,[],[f35,f31]) ).
fof(f141,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(superposition,[],[f34,f32]) ).
fof(f142,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f34,f32]) ).
fof(f180,plain,
! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0),
inference(superposition,[],[f35,f33]) ).
fof(f181,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f35,f33]) ).
fof(f188,plain,
! [X0,X1] : addition(X1,multiplication(X0,X1)) = multiplication(addition(X0,one),X1),
inference(superposition,[],[f181,f27]) ).
fof(f192,plain,
! [X2,X0,X1] : multiplication(addition(one,multiplication(X0,X1)),X2) = addition(X2,multiplication(X0,multiplication(X1,X2))),
inference(superposition,[],[f181,f31]) ).
fof(f217,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f28,f34]) ).
fof(f218,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X2),addition(multiplication(X1,X2),X3)) = addition(multiplication(addition(X0,X1),X2),X3),
inference(superposition,[],[f28,f35]) ).
fof(f230,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f27,f28]) ).
fof(f232,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),addition(one,X2)) = addition(X0,addition(X1,multiplication(addition(X0,X1),X2))),
inference(superposition,[],[f142,f28]) ).
fof(f238,plain,
multiplication(sF2,sK0) = multiplication(sK0,sF5),
inference(superposition,[],[f70,f54]) ).
fof(f256,plain,
! [X0] : multiplication(sK0,multiplication(sF5,X0)) = multiplication(multiplication(sF2,sK0),X0),
inference(superposition,[],[f31,f238]) ).
fof(f262,plain,
! [X0] : multiplication(sK0,multiplication(sF5,X0)) = multiplication(sF2,multiplication(sK0,X0)),
inference(forward_demodulation,[],[f256,f31]) ).
fof(f263,plain,
! [X0] : multiplication(sF5,multiplication(sK1,X0)) = multiplication(sK1,multiplication(sF2,X0)),
inference(superposition,[],[f71,f70]) ).
fof(f296,plain,
! [X0,X1] : addition(strong_iteration(X0),X1) = addition(star(X0),addition(multiplication(strong_iteration(X0),zero),X1)),
inference(superposition,[],[f28,f43]) ).
fof(f301,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f28,f30]) ).
fof(f302,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f45,f30]) ).
fof(f303,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1))),
inference(superposition,[],[f28,f30]) ).
fof(f309,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f302]) ).
fof(f361,plain,
! [X0,X1] : multiplication(addition(one,X0),X1) = addition(multiplication(X0,X1),X1),
inference(superposition,[],[f180,f27]) ).
fof(f363,plain,
! [X0,X1] : multiplication(strong_iteration(X0),X1) = addition(multiplication(multiplication(X0,strong_iteration(X0)),X1),X1),
inference(superposition,[],[f180,f41]) ).
fof(f369,plain,
! [X2,X0,X1] : multiplication(addition(multiplication(X0,X1),one),X2) = addition(multiplication(X0,multiplication(X1,X2)),X2),
inference(superposition,[],[f180,f31]) ).
fof(f407,plain,
! [X0,X1] : multiplication(strong_iteration(X0),X1) = addition(multiplication(X0,multiplication(strong_iteration(X0),X1)),X1),
inference(forward_demodulation,[],[f363,f31]) ).
fof(f422,plain,
! [X0,X1] : addition(multiplication(X1,multiplication(X0,strong_iteration(X0))),X1) = multiplication(X1,strong_iteration(X0)),
inference(superposition,[],[f141,f41]) ).
fof(f551,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,addition(X3,X2)),multiplication(X1,X2)) = addition(multiplication(X0,X3),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f217,f35]) ).
fof(f639,plain,
! [X2,X3,X0,X1] : addition(multiplication(X2,X1),multiplication(addition(X2,X3),X0)) = addition(multiplication(X2,addition(X0,X1)),multiplication(X3,X0)),
inference(superposition,[],[f551,f27]) ).
fof(f651,plain,
! [X2,X0,X1] : addition(multiplication(X1,multiplication(X0,strong_iteration(X0))),multiplication(addition(X1,X2),one)) = addition(multiplication(X1,strong_iteration(X0)),multiplication(X2,one)),
inference(superposition,[],[f551,f41]) ).
fof(f700,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),addition(X1,X2)),multiplication(multiplication(strong_iteration(X0),zero),X2)) = addition(multiplication(star(X0),X1),multiplication(strong_iteration(X0),X2)),
inference(superposition,[],[f551,f43]) ).
fof(f741,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),multiplication(strong_iteration(X0),X2)) = addition(multiplication(star(X0),addition(X1,X2)),multiplication(strong_iteration(X0),multiplication(zero,X2))),
inference(forward_demodulation,[],[f700,f31]) ).
fof(f770,plain,
! [X2,X0,X1] : addition(multiplication(X1,multiplication(X0,strong_iteration(X0))),multiplication(addition(X1,X2),one)) = addition(multiplication(X1,strong_iteration(X0)),X2),
inference(forward_demodulation,[],[f651,f32]) ).
fof(f781,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),multiplication(strong_iteration(X0),X2)) = addition(multiplication(star(X0),addition(X1,X2)),multiplication(strong_iteration(X0),zero)),
inference(forward_demodulation,[],[f741,f36]) ).
fof(f803,plain,
! [X2,X0,X1] : addition(multiplication(X1,strong_iteration(X0)),X2) = addition(multiplication(X1,multiplication(X0,strong_iteration(X0))),addition(X1,X2)),
inference(forward_demodulation,[],[f770,f32]) ).
fof(f832,plain,
multiplication(sF4,sK1) = multiplication(sF3,sF2),
inference(superposition,[],[f72,f48]) ).
fof(f834,plain,
multiplication(sF4,sF6) = multiplication(sF3,sF7),
inference(superposition,[],[f72,f58]) ).
fof(f962,plain,
! [X0,X1] : multiplication(star(X0),X1) = addition(X1,multiplication(multiplication(X0,star(X0)),X1)),
inference(superposition,[],[f181,f37]) ).
fof(f964,plain,
! [X0,X1] : addition(one,addition(multiplication(X0,star(X0)),X1)) = addition(star(X0),X1),
inference(superposition,[],[f28,f37]) ).
fof(f966,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(superposition,[],[f301,f37]) ).
fof(f970,plain,
! [X0,X1] : multiplication(star(X0),X1) = addition(X1,multiplication(X0,multiplication(star(X0),X1))),
inference(forward_demodulation,[],[f962,f31]) ).
fof(f1015,plain,
! [X0,X1] : multiplication(star(X0),X1) = addition(X1,multiplication(multiplication(star(X0),X0),X1)),
inference(superposition,[],[f181,f38]) ).
fof(f1017,plain,
! [X0,X1] : addition(star(X0),X1) = addition(one,addition(multiplication(star(X0),X0),X1)),
inference(superposition,[],[f28,f38]) ).
fof(f1023,plain,
! [X0,X1] : multiplication(star(X0),X1) = addition(X1,multiplication(star(X0),multiplication(X0,X1))),
inference(forward_demodulation,[],[f1015,f31]) ).
fof(f1070,plain,
! [X0,X1] : addition(multiplication(X0,sF3),X1) = addition(multiplication(X0,multiplication(sF2,sF3)),addition(X0,X1)),
inference(superposition,[],[f803,f50]) ).
fof(f1080,plain,
! [X0,X1] : addition(multiplication(X0,multiplication(X1,strong_iteration(X1))),X0) = addition(multiplication(X0,strong_iteration(X1)),X0),
inference(superposition,[],[f803,f30]) ).
fof(f1104,plain,
! [X2,X0,X1] : addition(multiplication(X0,strong_iteration(X1)),X2) = addition(addition(X0,X2),multiplication(X0,multiplication(X1,strong_iteration(X1)))),
inference(superposition,[],[f27,f803]) ).
fof(f1114,plain,
! [X2,X0,X1] : addition(multiplication(X0,strong_iteration(X1)),X2) = addition(X0,addition(X2,multiplication(X0,multiplication(X1,strong_iteration(X1))))),
inference(forward_demodulation,[],[f1104,f28]) ).
fof(f1132,plain,
! [X0,X1] : multiplication(X0,strong_iteration(X1)) = addition(multiplication(X0,strong_iteration(X1)),X0),
inference(forward_demodulation,[],[f1080,f422]) ).
fof(f1234,plain,
! [X2,X0,X1] :
( leq(multiplication(star(X0),multiplication(X1,X2)),X2)
| ~ leq(multiplication(addition(X0,X1),X2),X2) ),
inference(superposition,[],[f39,f35]) ).
fof(f1240,plain,
! [X2,X0,X1] :
( ~ leq(addition(X0,multiplication(X1,X2)),X2)
| leq(multiplication(star(X1),X0),X2) ),
inference(superposition,[],[f39,f27]) ).
fof(f1308,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f27,f29]) ).
fof(f1322,plain,
multiplication(sF3,sK0) = addition(sF4,multiplication(sF3,zero)),
inference(superposition,[],[f60,f29]) ).
fof(f1329,plain,
sF4 = addition(sF4,multiplication(sF3,zero)),
inference(forward_demodulation,[],[f1322,f52]) ).
fof(f1651,plain,
! [X2,X3,X0,X1] : addition(multiplication(addition(X3,X0),X1),multiplication(X0,X2)) = addition(multiplication(X3,X1),multiplication(X0,addition(X1,X2))),
inference(superposition,[],[f218,f34]) ).
fof(f1655,plain,
! [X0,X1] : addition(multiplication(addition(X1,X0),strong_iteration(X0)),one) = addition(multiplication(X1,strong_iteration(X0)),strong_iteration(X0)),
inference(superposition,[],[f218,f41]) ).
fof(f1851,plain,
! [X0,X1] : addition(X0,multiplication(X0,multiplication(X1,strong_iteration(X1)))) = addition(X0,addition(multiplication(X0,strong_iteration(X1)),multiplication(X0,multiplication(X1,strong_iteration(X1))))),
inference(superposition,[],[f303,f803]) ).
fof(f1917,plain,
! [X0,X1] : addition(X0,multiplication(X0,multiplication(X1,strong_iteration(X1)))) = addition(multiplication(X0,strong_iteration(X1)),multiplication(X0,strong_iteration(X1))),
inference(forward_demodulation,[],[f1851,f1114]) ).
fof(f1965,plain,
! [X0,X1] : addition(X0,multiplication(X0,multiplication(X1,strong_iteration(X1)))) = multiplication(addition(X0,X0),strong_iteration(X1)),
inference(forward_demodulation,[],[f1917,f35]) ).
fof(f1988,plain,
! [X0,X1] : multiplication(X0,strong_iteration(X1)) = addition(X0,multiplication(X0,multiplication(X1,strong_iteration(X1)))),
inference(forward_demodulation,[],[f1965,f30]) ).
fof(f2147,plain,
! [X0] : multiplication(X0,one) = addition(multiplication(X0,zero),X0),
inference(superposition,[],[f141,f1308]) ).
fof(f2155,plain,
! [X0] : addition(multiplication(X0,zero),X0) = X0,
inference(forward_demodulation,[],[f2147,f32]) ).
fof(f2220,plain,
! [X0] : multiplication(sF3,X0) = addition(multiplication(sF2,multiplication(sF3,X0)),X0),
inference(superposition,[],[f407,f50]) ).
fof(f2232,plain,
! [X0] : multiplication(strong_iteration(X0),X0) = multiplication(X0,addition(multiplication(strong_iteration(X0),X0),one)),
inference(superposition,[],[f141,f407]) ).
fof(f2340,plain,
addition(one,zero) = star(zero),
inference(superposition,[],[f37,f36]) ).
fof(f2344,plain,
one = star(zero),
inference(forward_demodulation,[],[f2340,f29]) ).
fof(f2615,plain,
! [X0,X1] : multiplication(star(X0),X1) = addition(X1,multiplication(star(X0),X1)),
inference(superposition,[],[f301,f1023]) ).
fof(f2722,plain,
! [X0,X1] : addition(multiplication(X0,star(X0)),addition(X1,one)) = addition(X1,star(X0)),
inference(superposition,[],[f230,f37]) ).
fof(f3064,plain,
! [X0] : multiplication(star(X0),X0) = multiplication(X0,addition(one,multiplication(star(X0),X0))),
inference(superposition,[],[f142,f970]) ).
fof(f3080,plain,
! [X0,X1] : multiplication(star(X0),multiplication(X0,X1)) = multiplication(X0,addition(X1,multiplication(star(X0),multiplication(X0,X1)))),
inference(superposition,[],[f34,f970]) ).
fof(f3105,plain,
! [X0,X1] : multiplication(X0,multiplication(star(X0),X1)) = multiplication(star(X0),multiplication(X0,X1)),
inference(forward_demodulation,[],[f3080,f1023]) ).
fof(f3110,plain,
! [X0] : multiplication(X0,star(X0)) = multiplication(star(X0),X0),
inference(forward_demodulation,[],[f3064,f38]) ).
fof(f3203,plain,
! [X2,X0,X1] : multiplication(star(X0),addition(X2,multiplication(X0,X1))) = addition(multiplication(star(X0),X2),multiplication(X0,multiplication(star(X0),X1))),
inference(superposition,[],[f34,f3105]) ).
fof(f3506,plain,
! [X0] : multiplication(X0,sF3) = addition(multiplication(X0,sF3),X0),
inference(superposition,[],[f1132,f50]) ).
fof(f3507,plain,
! [X0] : multiplication(X0,sF6) = addition(multiplication(X0,sF6),X0),
inference(superposition,[],[f1132,f56]) ).
fof(f3525,plain,
! [X0,X1] : multiplication(X0,strong_iteration(X1)) = multiplication(X0,addition(strong_iteration(X1),one)),
inference(superposition,[],[f141,f1132]) ).
fof(f3604,plain,
sF3 = addition(sF3,one),
inference(superposition,[],[f3506,f33]) ).
fof(f3701,plain,
multiplication(sF3,sF7) = addition(multiplication(sF3,sF7),sF4),
inference(superposition,[],[f3507,f834]) ).
fof(f3945,plain,
multiplication(sF3,sK0) = addition(sF4,multiplication(one,sK0)),
inference(superposition,[],[f116,f3604]) ).
fof(f3975,plain,
multiplication(sF3,sK0) = addition(sF4,sK0),
inference(forward_demodulation,[],[f3945,f33]) ).
fof(f3978,plain,
sF4 = addition(sF4,sK0),
inference(forward_demodulation,[],[f3975,f52]) ).
fof(f3982,plain,
multiplication(sK1,sF4) = addition(multiplication(sK1,sF4),sF5),
inference(superposition,[],[f67,f3978]) ).
fof(f4252,plain,
! [X0,X1] : addition(X1,X0) = addition(X0,addition(X1,multiplication(X0,zero))),
inference(superposition,[],[f230,f2155]) ).
fof(f4471,plain,
! [X2,X0,X1] : addition(multiplication(one,X1),multiplication(multiplication(X0,star(X0)),addition(X1,X2))) = addition(multiplication(star(X0),X1),multiplication(multiplication(X0,star(X0)),X2)),
inference(superposition,[],[f1651,f37]) ).
fof(f4476,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),multiplication(multiplication(strong_iteration(X0),zero),addition(X1,X2))) = addition(multiplication(strong_iteration(X0),X1),multiplication(multiplication(strong_iteration(X0),zero),X2)),
inference(superposition,[],[f1651,f43]) ).
fof(f4760,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),multiplication(multiplication(strong_iteration(X0),zero),addition(X1,X2))) = addition(multiplication(strong_iteration(X0),X1),multiplication(strong_iteration(X0),multiplication(zero,X2))),
inference(forward_demodulation,[],[f4476,f31]) ).
fof(f4765,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),multiplication(X0,multiplication(star(X0),X2))) = addition(multiplication(one,X1),multiplication(multiplication(X0,star(X0)),addition(X1,X2))),
inference(forward_demodulation,[],[f4471,f31]) ).
fof(f4853,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),multiplication(multiplication(strong_iteration(X0),zero),addition(X1,X2))) = multiplication(strong_iteration(X0),addition(X1,multiplication(zero,X2))),
inference(forward_demodulation,[],[f4760,f34]) ).
fof(f4858,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),multiplication(X0,multiplication(star(X0),X2))) = addition(multiplication(one,X1),multiplication(X0,multiplication(star(X0),addition(X1,X2)))),
inference(forward_demodulation,[],[f4765,f31]) ).
fof(f4907,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),multiplication(multiplication(strong_iteration(X0),zero),addition(X1,X2))) = multiplication(strong_iteration(X0),addition(X1,zero)),
inference(forward_demodulation,[],[f4853,f36]) ).
fof(f4909,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),multiplication(X0,multiplication(star(X0),X2))) = addition(X1,multiplication(X0,multiplication(star(X0),addition(X1,X2)))),
inference(forward_demodulation,[],[f4858,f33]) ).
fof(f4935,plain,
! [X2,X0,X1] : multiplication(strong_iteration(X0),X1) = addition(multiplication(star(X0),X1),multiplication(multiplication(strong_iteration(X0),zero),addition(X1,X2))),
inference(forward_demodulation,[],[f4907,f29]) ).
fof(f4937,plain,
! [X2,X0,X1] : multiplication(star(X0),addition(X1,multiplication(X0,X2))) = addition(X1,multiplication(X0,multiplication(star(X0),addition(X1,X2)))),
inference(forward_demodulation,[],[f4909,f3203]) ).
fof(f4951,plain,
! [X2,X0,X1] : multiplication(strong_iteration(X0),X1) = addition(multiplication(star(X0),X1),multiplication(strong_iteration(X0),multiplication(zero,addition(X1,X2)))),
inference(forward_demodulation,[],[f4935,f31]) ).
fof(f4958,plain,
! [X0,X1] : multiplication(strong_iteration(X0),X1) = addition(multiplication(star(X0),X1),multiplication(strong_iteration(X0),zero)),
inference(forward_demodulation,[],[f4951,f36]) ).
fof(f4974,plain,
! [X0] : addition(star(X0),multiplication(strong_iteration(X0),zero)) = addition(one,multiplication(strong_iteration(X0),X0)),
inference(superposition,[],[f1017,f4958]) ).
fof(f5013,plain,
! [X0] : strong_iteration(X0) = addition(one,multiplication(strong_iteration(X0),X0)),
inference(forward_demodulation,[],[f4974,f43]) ).
fof(f5055,plain,
sF3 = addition(multiplication(sF2,sF3),sF3),
inference(superposition,[],[f301,f102]) ).
fof(f5347,plain,
! [X2,X3,X0,X1] : multiplication(addition(X3,addition(one,multiplication(X1,X2))),X0) = addition(multiplication(X3,X0),addition(X0,multiplication(X1,multiplication(X2,X0)))),
inference(superposition,[],[f35,f192]) ).
fof(f6074,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),addition(X1,X2)),multiplication(strong_iteration(X0),zero)) = multiplication(strong_iteration(X0),addition(X2,X1)),
inference(superposition,[],[f4958,f90]) ).
fof(f6103,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),multiplication(strong_iteration(X0),X2)) = multiplication(strong_iteration(X0),addition(X2,X1)),
inference(forward_demodulation,[],[f6074,f781]) ).
fof(f6230,plain,
! [X0] : multiplication(strong_iteration(X0),X0) = multiplication(X0,addition(one,multiplication(strong_iteration(X0),X0))),
inference(superposition,[],[f90,f2232]) ).
fof(f6245,plain,
! [X0] : multiplication(addition(X0,one),addition(multiplication(strong_iteration(X0),X0),one)) = addition(multiplication(strong_iteration(X0),X0),addition(multiplication(strong_iteration(X0),X0),one)),
inference(superposition,[],[f180,f2232]) ).
fof(f6287,plain,
! [X0] : multiplication(addition(X0,one),addition(multiplication(strong_iteration(X0),X0),one)) = addition(multiplication(addition(strong_iteration(X0),strong_iteration(X0)),X0),one),
inference(forward_demodulation,[],[f6245,f218]) ).
fof(f6295,plain,
! [X0] : multiplication(X0,strong_iteration(X0)) = multiplication(strong_iteration(X0),X0),
inference(forward_demodulation,[],[f6230,f5013]) ).
fof(f6306,plain,
! [X0] : addition(multiplication(strong_iteration(X0),X0),one) = multiplication(addition(X0,one),addition(multiplication(strong_iteration(X0),X0),one)),
inference(forward_demodulation,[],[f6287,f30]) ).
fof(f6314,plain,
! [X0] : addition(multiplication(X0,strong_iteration(X0)),one) = multiplication(addition(X0,one),addition(multiplication(X0,strong_iteration(X0)),one)),
inference(forward_demodulation,[],[f6306,f6295]) ).
fof(f6320,plain,
! [X0] : strong_iteration(X0) = multiplication(addition(X0,one),strong_iteration(X0)),
inference(forward_demodulation,[],[f6314,f41]) ).
fof(f6326,plain,
multiplication(sF2,sF3) = multiplication(sF3,sF2),
inference(superposition,[],[f6295,f50]) ).
fof(f6327,plain,
multiplication(sF5,sF6) = multiplication(sF6,sF5),
inference(superposition,[],[f6295,f56]) ).
fof(f8255,plain,
! [X2,X0,X1] :
( ~ leq(multiplication(addition(X0,X1),X2),X2)
| addition(multiplication(star(X0),multiplication(X1,X2)),X2) = X2 ),
inference(resolution,[],[f1234,f44]) ).
fof(f10592,plain,
! [X2,X0,X1] : multiplication(addition(X0,multiplication(X1,zero)),X2) = addition(multiplication(X0,X2),multiplication(X1,zero)),
inference(superposition,[],[f117,f36]) ).
fof(f10966,plain,
! [X0,X1] : multiplication(star(X0),X1) = addition(multiplication(star(X0),X1),X1),
inference(superposition,[],[f361,f966]) ).
fof(f11093,plain,
! [X0,X1] : multiplication(addition(one,X0),multiplication(X0,X1)) = multiplication(X0,addition(multiplication(X0,X1),X1)),
inference(superposition,[],[f34,f361]) ).
fof(f13047,plain,
multiplication(sK0,strong_iteration(sF5)) = addition(multiplication(sF2,multiplication(sK0,strong_iteration(sF5))),sK0),
inference(superposition,[],[f422,f262]) ).
fof(f13097,plain,
multiplication(sK0,sF6) = addition(multiplication(sF2,multiplication(sK0,sF6)),sK0),
inference(forward_demodulation,[],[f13047,f56]) ).
fof(f13114,plain,
sF7 = addition(multiplication(sF2,sF7),sK0),
inference(forward_demodulation,[],[f13097,f58]) ).
fof(f13127,plain,
( ~ leq(sF7,sF7)
| leq(sF7,multiplication(strong_iteration(sF2),sK0)) ),
inference(superposition,[],[f42,f13114]) ).
fof(f13143,plain,
sF7 = addition(multiplication(sF2,sF7),sF7),
inference(superposition,[],[f301,f13114]) ).
fof(f13183,plain,
leq(sF7,multiplication(strong_iteration(sF2),sK0)),
inference(forward_subsumption_resolution,[],[f13127,f309]) ).
fof(f13190,plain,
leq(sF7,multiplication(sF3,sK0)),
inference(forward_demodulation,[],[f13183,f50]) ).
fof(f13193,plain,
leq(sF7,sF4),
inference(forward_demodulation,[],[f13190,f52]) ).
fof(f13194,plain,
sF4 = addition(sF7,sF4),
inference(resolution,[],[f13193,f44]) ).
fof(f13201,plain,
! [X0] :
( multiplication(X0,sF4) != multiplication(X0,sF4)
| leq(multiplication(X0,sF7),multiplication(X0,sF4)) ),
inference(superposition,[],[f83,f13194]) ).
fof(f13202,plain,
( sF4 != sF7
| leq(sF4,sF7) ),
inference(superposition,[],[f89,f13194]) ).
fof(f13220,plain,
! [X0] : leq(multiplication(X0,sF7),multiplication(X0,sF4)),
inference(trivial_inequality_removal,[],[f13201]) ).
fof(f13228,plain,
sF4 != sF7,
inference(forward_subsumption_resolution,[],[f13202,f59]) ).
fof(f13338,plain,
( ~ leq(sF7,sF7)
| leq(multiplication(star(sF2),sF7),sF7) ),
inference(superposition,[],[f39,f13143]) ).
fof(f13382,plain,
leq(multiplication(star(sF2),sF7),sF7),
inference(forward_subsumption_resolution,[],[f13338,f309]) ).
fof(f16078,plain,
! [X0] : addition(multiplication(X0,star(X0)),one) = addition(multiplication(X0,star(X0)),addition(star(X0),one)),
inference(superposition,[],[f303,f964]) ).
fof(f16116,plain,
! [X0] : addition(multiplication(X0,star(X0)),one) = addition(star(X0),star(X0)),
inference(forward_demodulation,[],[f16078,f2722]) ).
fof(f16143,plain,
! [X0] : star(X0) = addition(multiplication(X0,star(X0)),one),
inference(forward_demodulation,[],[f16116,f30]) ).
fof(f16679,plain,
! [X0,X1] : multiplication(X0,addition(multiplication(X1,X0),one)) = multiplication(addition(multiplication(X0,X1),one),X0),
inference(superposition,[],[f141,f369]) ).
fof(f19583,plain,
! [X0,X1] : addition(X0,multiplication(X1,multiplication(star(X1),X0))) = multiplication(star(X1),addition(X0,multiplication(X1,X0))),
inference(superposition,[],[f4937,f30]) ).
fof(f19873,plain,
! [X0,X1] : multiplication(star(X1),X0) = multiplication(star(X1),addition(X0,multiplication(X1,X0))),
inference(forward_demodulation,[],[f19583,f970]) ).
fof(f20088,plain,
! [X0,X1] : multiplication(star(X0),X1) = multiplication(star(X0),multiplication(addition(one,X0),X1)),
inference(superposition,[],[f19873,f181]) ).
fof(f24542,plain,
! [X0,X1] : multiplication(star(X0),X1) = multiplication(addition(star(X0),one),X1),
inference(superposition,[],[f188,f2615]) ).
fof(f24922,plain,
sF7 = addition(multiplication(star(sF2),sF7),sF7),
inference(resolution,[],[f13382,f44]) ).
fof(f24923,plain,
sF7 = multiplication(star(sF2),sF7),
inference(forward_demodulation,[],[f24922,f10966]) ).
fof(f24932,plain,
! [X0] : addition(multiplication(star(sF2),X0),sF7) = multiplication(star(sF2),addition(X0,sF7)),
inference(superposition,[],[f34,f24923]) ).
fof(f26830,plain,
! [X2,X0,X1] : addition(multiplication(X1,multiplication(X0,star(X0))),multiplication(addition(X1,X2),one)) = addition(multiplication(X1,star(X0)),multiplication(X2,one)),
inference(superposition,[],[f639,f37]) ).
fof(f27273,plain,
! [X2,X0,X1] : addition(multiplication(X1,star(X0)),X2) = addition(multiplication(X1,multiplication(X0,star(X0))),multiplication(addition(X1,X2),one)),
inference(forward_demodulation,[],[f26830,f32]) ).
fof(f27537,plain,
! [X2,X0,X1] : addition(multiplication(X1,star(X0)),X2) = addition(multiplication(X1,multiplication(X0,star(X0))),addition(X1,X2)),
inference(forward_demodulation,[],[f27273,f32]) ).
fof(f28020,plain,
! [X0,X1] : addition(multiplication(one,star(X1)),multiplication(X0,star(X0))) = addition(multiplication(one,multiplication(X1,star(X1))),star(X0)),
inference(superposition,[],[f27537,f37]) ).
fof(f28029,plain,
! [X0,X1] : addition(multiplication(one,multiplication(X1,star(X1))),star(X0)) = addition(multiplication(one,star(X1)),star(X0)),
inference(superposition,[],[f27537,f966]) ).
fof(f28186,plain,
! [X0,X1] : addition(multiplication(one,multiplication(X1,star(X1))),star(X0)) = addition(star(X1),star(X0)),
inference(forward_demodulation,[],[f28029,f33]) ).
fof(f28195,plain,
! [X0,X1] : addition(multiplication(one,star(X1)),multiplication(X0,star(X0))) = addition(multiplication(X1,star(X1)),star(X0)),
inference(forward_demodulation,[],[f28020,f33]) ).
fof(f28303,plain,
! [X0,X1] : addition(star(X1),star(X0)) = addition(multiplication(X1,star(X1)),star(X0)),
inference(forward_demodulation,[],[f28186,f33]) ).
fof(f28312,plain,
! [X0,X1] : addition(multiplication(X1,star(X1)),star(X0)) = addition(star(X1),multiplication(X0,star(X0))),
inference(forward_demodulation,[],[f28195,f33]) ).
fof(f28395,plain,
! [X0,X1] : addition(star(X1),star(X0)) = addition(star(X1),multiplication(X0,star(X0))),
inference(forward_demodulation,[],[f28312,f28303]) ).
fof(f28484,plain,
! [X0] : addition(star(X0),zero) = addition(star(X0),star(zero)),
inference(superposition,[],[f28395,f36]) ).
fof(f28593,plain,
! [X0] : addition(star(X0),one) = addition(star(X0),zero),
inference(forward_demodulation,[],[f28484,f2344]) ).
fof(f28610,plain,
! [X0] : star(X0) = addition(star(X0),one),
inference(forward_demodulation,[],[f28593,f29]) ).
fof(f28657,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),multiplication(one,addition(X1,X2))) = addition(multiplication(star(X0),X1),multiplication(one,X2)),
inference(superposition,[],[f1651,f28610]) ).
fof(f28670,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),X2) = addition(multiplication(star(X0),X1),multiplication(one,addition(X1,X2))),
inference(forward_demodulation,[],[f28657,f33]) ).
fof(f28692,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),X2) = addition(multiplication(star(X0),X1),addition(X1,X2)),
inference(forward_demodulation,[],[f28670,f33]) ).
fof(f28842,plain,
! [X2,X0,X1] : addition(multiplication(star(X0),X1),X2) = addition(X1,addition(X2,multiplication(star(X0),X1))),
inference(superposition,[],[f230,f28692]) ).
fof(f31048,plain,
! [X0,X1] : multiplication(star(X0),addition(multiplication(X0,X1),X1)) = addition(addition(multiplication(X0,X1),X1),multiplication(star(X0),multiplication(addition(one,X0),multiplication(X0,X1)))),
inference(superposition,[],[f1023,f11093]) ).
fof(f31155,plain,
! [X0,X1] : multiplication(star(X0),addition(multiplication(X0,X1),X1)) = addition(multiplication(X0,X1),addition(X1,multiplication(star(X0),multiplication(addition(one,X0),multiplication(X0,X1))))),
inference(forward_demodulation,[],[f31048,f28]) ).
fof(f31400,plain,
! [X0,X1] : multiplication(star(X0),addition(multiplication(X0,X1),X1)) = addition(multiplication(X0,X1),addition(X1,multiplication(star(X0),multiplication(X0,X1)))),
inference(forward_demodulation,[],[f31155,f20088]) ).
fof(f31554,plain,
! [X0,X1] : multiplication(star(X0),addition(multiplication(X0,X1),X1)) = multiplication(addition(X0,addition(one,multiplication(star(X0),X0))),X1),
inference(forward_demodulation,[],[f31400,f5347]) ).
fof(f31661,plain,
! [X0,X1] : multiplication(addition(multiplication(star(X0),X0),one),X1) = multiplication(star(X0),addition(multiplication(X0,X1),X1)),
inference(forward_demodulation,[],[f31554,f28842]) ).
fof(f31724,plain,
! [X0,X1] : multiplication(addition(multiplication(X0,star(X0)),one),X1) = multiplication(star(X0),addition(multiplication(X0,X1),X1)),
inference(forward_demodulation,[],[f31661,f3110]) ).
fof(f31773,plain,
! [X0,X1] : multiplication(star(X0),X1) = multiplication(star(X0),addition(multiplication(X0,X1),X1)),
inference(forward_demodulation,[],[f31724,f16143]) ).
fof(f34620,plain,
! [X0,X1] : multiplication(addition(multiplication(X0,sF4),X1),sK1) = addition(multiplication(X0,multiplication(sF3,sF2)),multiplication(X1,sK1)),
inference(superposition,[],[f112,f832]) ).
fof(f34962,plain,
! [X0,X1] : multiplication(addition(multiplication(X0,sF4),X1),sK1) = addition(multiplication(X0,multiplication(sF2,sF3)),multiplication(X1,sK1)),
inference(forward_demodulation,[],[f34620,f6326]) ).
fof(f37427,plain,
sF4 = addition(multiplication(sF2,sF4),sK0),
inference(superposition,[],[f2220,f52]) ).
fof(f37749,plain,
! [X0] : addition(multiplication(star(X0),multiplication(sF2,sF4)),sK0) = addition(multiplication(star(X0),multiplication(sF2,sF4)),sF4),
inference(superposition,[],[f28692,f37427]) ).
fof(f40816,plain,
sF3 = addition(sF3,multiplication(sF2,sF3)),
inference(superposition,[],[f27,f5055]) ).
fof(f45944,plain,
multiplication(sF3,sK0) = addition(sF4,multiplication(multiplication(sF2,sF3),sK0)),
inference(superposition,[],[f116,f40816]) ).
fof(f46007,plain,
multiplication(sF3,sK0) = addition(sF4,multiplication(sF2,multiplication(sF3,sK0))),
inference(forward_demodulation,[],[f45944,f31]) ).
fof(f46022,plain,
sF4 = addition(sF4,multiplication(sF2,sF4)),
inference(forward_demodulation,[],[f46007,f52]) ).
fof(f46029,plain,
( ~ leq(sF4,sF4)
| leq(multiplication(star(sF2),sF4),sF4) ),
inference(superposition,[],[f1240,f46022]) ).
fof(f46089,plain,
leq(multiplication(star(sF2),sF4),sF4),
inference(forward_subsumption_resolution,[],[f46029,f309]) ).
fof(f46108,plain,
sF4 = addition(multiplication(star(sF2),sF4),sF4),
inference(resolution,[],[f46089,f44]) ).
fof(f46109,plain,
sF4 = multiplication(star(sF2),sF4),
inference(forward_demodulation,[],[f46108,f10966]) ).
fof(f46114,plain,
multiplication(strong_iteration(sF2),sF4) = addition(sF4,multiplication(strong_iteration(sF2),zero)),
inference(superposition,[],[f4958,f46109]) ).
fof(f46193,plain,
addition(sF4,multiplication(sF3,zero)) = multiplication(sF3,sF4),
inference(forward_demodulation,[],[f46114,f50]) ).
fof(f46208,plain,
sF4 = multiplication(sF3,sF4),
inference(forward_demodulation,[],[f46193,f1329]) ).
fof(f46222,plain,
leq(multiplication(sF3,sF7),sF4),
inference(superposition,[],[f13220,f46208]) ).
fof(f46443,plain,
sF4 = addition(multiplication(sF3,sF7),sF4),
inference(resolution,[],[f46222,f44]) ).
fof(f46444,plain,
sF4 = multiplication(sF3,sF7),
inference(forward_demodulation,[],[f46443,f3701]) ).
fof(f46451,plain,
sF4 = addition(multiplication(sF2,sF4),sF7),
inference(superposition,[],[f2220,f46444]) ).
fof(f46602,plain,
! [X0] : addition(multiplication(star(X0),multiplication(sF2,sF4)),sF4) = addition(multiplication(star(X0),multiplication(sF2,sF4)),sF7),
inference(superposition,[],[f28692,f46451]) ).
fof(f46605,plain,
! [X0] : addition(multiplication(star(X0),multiplication(sF2,sF4)),sK0) = addition(multiplication(star(X0),multiplication(sF2,sF4)),sF7),
inference(forward_demodulation,[],[f46602,f37749]) ).
fof(f54834,plain,
! [X0,X1] : multiplication(addition(star(X0),multiplication(strong_iteration(X0),zero)),addition(one,X1)) = addition(strong_iteration(X0),multiplication(addition(star(X0),multiplication(strong_iteration(X0),zero)),X1)),
inference(superposition,[],[f296,f232]) ).
fof(f54870,plain,
! [X0,X1] : multiplication(addition(star(X0),multiplication(strong_iteration(X0),zero)),addition(one,X1)) = addition(strong_iteration(X0),addition(multiplication(star(X0),X1),multiplication(strong_iteration(X0),zero))),
inference(forward_demodulation,[],[f54834,f10592]) ).
fof(f55166,plain,
! [X0,X1] : addition(multiplication(star(X0),X1),strong_iteration(X0)) = multiplication(addition(star(X0),multiplication(strong_iteration(X0),zero)),addition(one,X1)),
inference(forward_demodulation,[],[f54870,f4252]) ).
fof(f55252,plain,
! [X0,X1] : addition(multiplication(star(X0),addition(one,X1)),multiplication(strong_iteration(X0),zero)) = addition(multiplication(star(X0),X1),strong_iteration(X0)),
inference(forward_demodulation,[],[f55166,f10592]) ).
fof(f55297,plain,
! [X0,X1] : addition(multiplication(star(X0),X1),strong_iteration(X0)) = addition(multiplication(star(X0),one),multiplication(strong_iteration(X0),X1)),
inference(forward_demodulation,[],[f55252,f781]) ).
fof(f55318,plain,
! [X0,X1] : multiplication(strong_iteration(X0),addition(X1,one)) = addition(multiplication(star(X0),X1),strong_iteration(X0)),
inference(forward_demodulation,[],[f55297,f6103]) ).
fof(f55377,plain,
! [X0] : multiplication(strong_iteration(X0),addition(strong_iteration(X0),one)) = multiplication(addition(star(X0),one),strong_iteration(X0)),
inference(superposition,[],[f180,f55318]) ).
fof(f55474,plain,
! [X0] : multiplication(star(X0),strong_iteration(X0)) = multiplication(strong_iteration(X0),addition(strong_iteration(X0),one)),
inference(forward_demodulation,[],[f55377,f24542]) ).
fof(f55534,plain,
! [X0] : multiplication(star(X0),strong_iteration(X0)) = multiplication(strong_iteration(X0),strong_iteration(X0)),
inference(forward_demodulation,[],[f55474,f3525]) ).
fof(f55825,plain,
multiplication(sF3,sF3) = multiplication(star(sF2),sF3),
inference(superposition,[],[f55534,f50]) ).
fof(f59176,plain,
addition(multiplication(multiplication(sK1,sF4),strong_iteration(sF5)),strong_iteration(sF5)) = addition(multiplication(multiplication(sK1,sF4),strong_iteration(sF5)),one),
inference(superposition,[],[f1655,f3982]) ).
fof(f59483,plain,
addition(multiplication(sK1,multiplication(sF4,strong_iteration(sF5))),strong_iteration(sF5)) = addition(multiplication(sK1,multiplication(sF4,strong_iteration(sF5))),one),
inference(forward_demodulation,[],[f59176,f31]) ).
fof(f59653,plain,
addition(multiplication(sK1,multiplication(sF4,sF6)),sF6) = addition(multiplication(sK1,multiplication(sF4,sF6)),one),
inference(forward_demodulation,[],[f59483,f56]) ).
fof(f59739,plain,
addition(multiplication(sK1,multiplication(sF3,sF7)),sF6) = addition(multiplication(sK1,multiplication(sF3,sF7)),one),
inference(forward_demodulation,[],[f59653,f834]) ).
fof(f59779,plain,
addition(multiplication(sK1,sF4),sF6) = addition(multiplication(sK1,sF4),one),
inference(forward_demodulation,[],[f59739,f46444]) ).
fof(f75596,plain,
! [X0] :
( ~ leq(strong_iteration(X0),strong_iteration(X0))
| strong_iteration(X0) = addition(multiplication(star(X0),multiplication(one,strong_iteration(X0))),strong_iteration(X0)) ),
inference(superposition,[],[f8255,f6320]) ).
fof(f75646,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(star(X0),multiplication(one,strong_iteration(X0))),strong_iteration(X0)),
inference(forward_subsumption_resolution,[],[f75596,f309]) ).
fof(f75861,plain,
! [X0] : strong_iteration(X0) = multiplication(strong_iteration(X0),addition(multiplication(one,strong_iteration(X0)),one)),
inference(forward_demodulation,[],[f75646,f55318]) ).
fof(f75984,plain,
! [X0] : strong_iteration(X0) = multiplication(strong_iteration(X0),multiplication(one,strong_iteration(X0))),
inference(forward_demodulation,[],[f75861,f1132]) ).
fof(f76040,plain,
! [X0] : strong_iteration(X0) = multiplication(strong_iteration(X0),strong_iteration(X0)),
inference(forward_demodulation,[],[f75984,f33]) ).
fof(f76065,plain,
! [X0] : strong_iteration(X0) = multiplication(star(X0),strong_iteration(X0)),
inference(forward_demodulation,[],[f76040,f55534]) ).
fof(f76077,plain,
sF3 = multiplication(star(sF2),sF3),
inference(superposition,[],[f76065,f50]) ).
fof(f76213,plain,
sF3 = multiplication(sF3,sF3),
inference(forward_demodulation,[],[f76077,f55825]) ).
fof(f177547,plain,
multiplication(sK1,strong_iteration(sF2)) = addition(sK1,multiplication(sF5,multiplication(sK1,strong_iteration(sF2)))),
inference(superposition,[],[f1988,f263]) ).
fof(f177946,plain,
multiplication(sK1,sF3) = addition(sK1,multiplication(sF5,multiplication(sK1,sF3))),
inference(forward_demodulation,[],[f177547,f50]) ).
fof(f251972,plain,
( ~ leq(multiplication(sK1,sF3),multiplication(sK1,sF3))
| leq(multiplication(sK1,sF3),multiplication(strong_iteration(sF5),sK1)) ),
inference(superposition,[],[f101,f177946]) ).
fof(f252110,plain,
leq(multiplication(sK1,sF3),multiplication(strong_iteration(sF5),sK1)),
inference(forward_subsumption_resolution,[],[f251972,f309]) ).
fof(f252168,plain,
leq(multiplication(sK1,sF3),multiplication(sF6,sK1)),
inference(forward_demodulation,[],[f252110,f56]) ).
fof(f252239,plain,
multiplication(sF6,sK1) = addition(multiplication(sK1,sF3),multiplication(sF6,sK1)),
inference(resolution,[],[f252168,f44]) ).
fof(f252292,plain,
addition(multiplication(multiplication(sK1,sF3),sF3),multiplication(sF6,sK1)) = addition(multiplication(multiplication(sK1,sF3),multiplication(sF2,sF3)),multiplication(sF6,sK1)),
inference(superposition,[],[f1070,f252239]) ).
fof(f252354,plain,
addition(multiplication(multiplication(sK1,sF3),sF3),multiplication(sF6,sK1)) = multiplication(addition(multiplication(multiplication(sK1,sF3),sF4),sF6),sK1),
inference(forward_demodulation,[],[f252292,f34962]) ).
fof(f252380,definition,
( spl8_893
<=> multiplication(sK1,sF3) = multiplication(sF6,sK1) ),
introduced(definition,[new_symbols(definition,[spl8_893])],[avatar_definition]) ).
fof(f252381,plain,
( multiplication(sK1,sF3) = multiplication(sF6,sK1)
| ~ spl8_893 ),
inference(avatar_component_clause,[],[f252380]) ).
fof(f252423,plain,
addition(multiplication(multiplication(sK1,sF3),sF3),multiplication(sF6,sK1)) = multiplication(addition(multiplication(sK1,multiplication(sF3,sF4)),sF6),sK1),
inference(forward_demodulation,[],[f252354,f31]) ).
fof(f252473,plain,
addition(multiplication(multiplication(sK1,sF3),sF3),multiplication(sF6,sK1)) = multiplication(addition(multiplication(sK1,sF4),sF6),sK1),
inference(forward_demodulation,[],[f252423,f46208]) ).
fof(f252488,plain,
addition(multiplication(multiplication(sK1,sF3),sF3),multiplication(sF6,sK1)) = multiplication(addition(multiplication(sK1,sF4),one),sK1),
inference(forward_demodulation,[],[f252473,f59779]) ).
fof(f252495,plain,
addition(multiplication(multiplication(sK1,sF3),sF3),multiplication(sF6,sK1)) = multiplication(sK1,addition(multiplication(sF4,sK1),one)),
inference(forward_demodulation,[],[f252488,f16679]) ).
fof(f252496,plain,
addition(multiplication(multiplication(sK1,sF3),sF3),multiplication(sF6,sK1)) = multiplication(sK1,addition(multiplication(sF3,sF2),one)),
inference(forward_demodulation,[],[f252495,f832]) ).
fof(f252497,plain,
addition(multiplication(multiplication(sK1,sF3),sF3),multiplication(sF6,sK1)) = multiplication(sK1,addition(multiplication(sF2,sF3),one)),
inference(forward_demodulation,[],[f252496,f6326]) ).
fof(f252498,plain,
multiplication(sK1,sF3) = addition(multiplication(multiplication(sK1,sF3),sF3),multiplication(sF6,sK1)),
inference(forward_demodulation,[],[f252497,f102]) ).
fof(f252499,plain,
multiplication(sK1,sF3) = addition(multiplication(sK1,multiplication(sF3,sF3)),multiplication(sF6,sK1)),
inference(forward_demodulation,[],[f252498,f31]) ).
fof(f252500,plain,
multiplication(sK1,sF3) = addition(multiplication(sK1,sF3),multiplication(sF6,sK1)),
inference(forward_demodulation,[],[f252499,f76213]) ).
fof(f252501,plain,
multiplication(sK1,sF3) = multiplication(sF6,sK1),
inference(forward_demodulation,[],[f252500,f252239]) ).
fof(f252502,plain,
spl8_893,
inference(avatar_split_clause,[],[f252501,f252380]) ).
fof(f252518,plain,
( ! [X0] : multiplication(sK1,multiplication(sF3,X0)) = multiplication(multiplication(sF6,sK1),X0)
| ~ spl8_893 ),
inference(superposition,[],[f31,f252381]) ).
fof(f252660,plain,
( ! [X0] : multiplication(sK1,multiplication(sF3,X0)) = multiplication(sF6,multiplication(sK1,X0))
| ~ spl8_893 ),
inference(forward_demodulation,[],[f252518,f31]) ).
fof(f252928,plain,
( multiplication(sK1,sF4) = multiplication(sF6,multiplication(sK1,sK0))
| ~ spl8_893 ),
inference(superposition,[],[f252660,f52]) ).
fof(f253192,plain,
( multiplication(sK1,sF4) = multiplication(sF6,sF5)
| ~ spl8_893 ),
inference(forward_demodulation,[],[f252928,f54]) ).
fof(f253272,plain,
( multiplication(sF5,sF6) = multiplication(sK1,sF4)
| ~ spl8_893 ),
inference(forward_demodulation,[],[f253192,f6327]) ).
fof(f253361,plain,
( multiplication(sK0,multiplication(sF5,sF6)) = multiplication(sF2,sF4)
| ~ spl8_893 ),
inference(superposition,[],[f70,f253272]) ).
fof(f253544,plain,
( multiplication(sF2,multiplication(sK0,sF6)) = multiplication(sF2,sF4)
| ~ spl8_893 ),
inference(forward_demodulation,[],[f253361,f262]) ).
fof(f253564,plain,
( multiplication(sF2,sF7) = multiplication(sF2,sF4)
| ~ spl8_893 ),
inference(forward_demodulation,[],[f253544,f58]) ).
fof(f253685,plain,
( multiplication(star(sF2),sF7) = multiplication(star(sF2),addition(multiplication(sF2,sF4),sF7))
| ~ spl8_893 ),
inference(superposition,[],[f31773,f253564]) ).
fof(f253733,plain,
( multiplication(star(sF2),sF7) = addition(multiplication(star(sF2),multiplication(sF2,sF4)),sF7)
| ~ spl8_893 ),
inference(forward_demodulation,[],[f253685,f24932]) ).
fof(f253791,plain,
( multiplication(star(sF2),sF7) = addition(multiplication(star(sF2),multiplication(sF2,sF4)),sK0)
| ~ spl8_893 ),
inference(forward_demodulation,[],[f253733,f46605]) ).
fof(f253826,plain,
( multiplication(star(sF2),sF7) = addition(multiplication(sF2,multiplication(star(sF2),sF4)),sK0)
| ~ spl8_893 ),
inference(forward_demodulation,[],[f253791,f3105]) ).
fof(f253836,plain,
( multiplication(star(sF2),sF7) = addition(multiplication(sF2,sF4),sK0)
| ~ spl8_893 ),
inference(forward_demodulation,[],[f253826,f46109]) ).
fof(f253841,plain,
( sF4 = multiplication(star(sF2),sF7)
| ~ spl8_893 ),
inference(forward_demodulation,[],[f253836,f37427]) ).
fof(f253846,plain,
( sF4 = sF7
| ~ spl8_893 ),
inference(forward_demodulation,[],[f253841,f24923]) ).
fof(f253847,plain,
( $false
| ~ spl8_893 ),
inference(forward_subsumption_resolution,[],[f253846,f13228]) ).
fof(f253848,plain,
~ spl8_893,
inference(avatar_contradiction_clause,[],[f253847]) ).
cnf(s606,plain,
spl8_893,
inference(sat_conversion,[],[f252502]) ).
cnf(s640,plain,
~ spl8_893,
inference(sat_conversion,[],[f253848]) ).
cnf(s641,plain,
$false,
inference(rat,[],[s606,s640]) ).
fof(f253849,plain,
$false,
inference(avatar_sat_refutation,[],[s641]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE152+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 % Computer : n013.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 13:12:07 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.47 Running first-order theorem proving
% 0.14/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.84/3.23 % (221042)Detected formulas, will run a generic FOF schedule.
% 15.84/3.23 % (221059)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3624600944:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 15.84/3.23 % (221061)dis-21_1_sil=8000:lcm=predicate:random_seed=1638354154:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 15.84/3.23 % (221061)Refutation not found, incomplete strategy
% 15.84/3.23 % (221061)------------------------------
% 15.84/3.23 % (221061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.23 % (221061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.23 % (221061)CaDiCaL version: 2.1.3
% 15.84/3.23 % (221061)Termination reason: Refutation not found, incomplete strategy
% 15.84/3.23 % (221061)Time elapsed: 0.003 s
% 15.84/3.23 % (221061)Peak memory usage: 88 MB
% 15.84/3.23 % (221061)Instructions burned: 1 (million)
% 15.84/3.23 % (221055)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=374376875:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 15.84/3.23 % (221059)Instruction limit reached!
% 15.84/3.23 % (221059)------------------------------
% 15.84/3.23 % (221059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.23 % (221059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.23 % (221059)CaDiCaL version: 2.1.3
% 15.84/3.23 % (221059)Termination reason: Instruction limit
% 15.84/3.23 % (221059)Termination phase: Saturation
% 15.84/3.23 % (221059)Time elapsed: 0.065 s
% 15.84/3.23 % (221059)Peak memory usage: 89 MB
% 15.84/3.23 % (221059)Instructions burned: 120 (million)
% 15.84/3.23 % (221056)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3239037520:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 15.84/3.23 % (221057)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4029865606:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 15.84/3.23 % (221060)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2023973958:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 15.84/3.23 % (221058)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1174799260:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 15.84/3.23 % (221058)Refutation not found, incomplete strategy
% 15.84/3.23 % (221058)------------------------------
% 15.84/3.23 % (221058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.23 % (221058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.23 % (221058)CaDiCaL version: 2.1.3
% 15.84/3.23 % (221058)Termination reason: Refutation not found, incomplete strategy
% 15.84/3.23 % (221058)Time elapsed: 0.002 s
% 15.84/3.23 % (221058)Peak memory usage: 88 MB
% 15.84/3.23 % (221060)Instruction limit reached!
% 15.84/3.23 % (221060)------------------------------
% 15.84/3.23 % (221060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.23 % (221060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.23 % (221060)CaDiCaL version: 2.1.3
% 15.84/3.23 % (221060)Termination reason: Instruction limit
% 15.84/3.23 % (221060)Termination phase: Saturation
% 15.84/3.23 % (221060)Time elapsed: 0.139 s
% 15.84/3.23 % (221060)Peak memory usage: 90 MB
% 15.84/3.23 % (221060)Instructions burned: 139 (million)
% 15.84/3.23 % (221067)lrs+10_1_sil=8000:sp=occurrence:random_seed=972336913:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 15.84/3.23 % (221067)Instruction limit reached!
% 15.84/3.23 % (221067)------------------------------
% 15.84/3.23 % (221067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.23 % (221067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.23 % (221067)CaDiCaL version: 2.1.3
% 15.84/3.23 % (221067)Termination reason: Instruction limit
% 15.84/3.23 % (221067)Termination phase: Saturation
% 15.84/3.23 % (221067)Time elapsed: 0.157 s
% 15.84/3.23 % (221067)Peak memory usage: 91 MB
% 15.84/3.23 % (221067)Instructions burned: 287 (million)
% 15.84/3.23 % (221061)------------------------------
% 15.84/3.23 % (221061)------------------------------
% 15.84/3.23 % (221070)lrs+10_1_sil=32000:urr=on:br=off:random_seed=42460420:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 24.30/4.50 % (221058)------------------------------
% 24.30/4.50 % (221058)------------------------------
% 24.30/4.50 % (221074)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2673980112:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 24.30/4.50 % (221070)Instruction limit reached!
% 24.30/4.50 % (221070)------------------------------
% 24.30/4.50 % (221070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.30/4.50 % (221070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.30/4.50 % (221070)CaDiCaL version: 2.1.3
% 24.30/4.50 % (221070)Termination reason: Instruction limit
% 24.30/4.50 % (221070)Termination phase: Saturation
% 24.30/4.50 % (221070)Time elapsed: 0.162 s
% 24.30/4.50 % (221070)Peak memory usage: 90 MB
% 24.30/4.50 % (221070)Instructions burned: 157 (million)
% 24.30/4.50 % (221075)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2491978292:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 24.30/4.50 % (221077)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2048192810:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 24.30/4.50 % (221077)Refutation not found, incomplete strategy
% 24.30/4.50 % (221077)------------------------------
% 24.30/4.50 % (221077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.30/4.50 % (221077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.30/4.50 % (221077)CaDiCaL version: 2.1.3
% 24.30/4.50 % (221077)Termination reason: Refutation not found, incomplete strategy
% 24.30/4.50 % (221077)Time elapsed: 0.002 s
% 24.30/4.50 % (221077)Peak memory usage: 88 MB
% 24.30/4.50 % (221077)Instructions burned: 1 (million)
% 24.30/4.50 % (221074)Instruction limit reached!
% 24.30/4.50 % (221074)------------------------------
% 24.30/4.50 % (221074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.30/4.50 % (221074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.30/4.50 % (221074)CaDiCaL version: 2.1.3
% 24.30/4.50 % (221074)Termination reason: Instruction limit
% 24.30/4.50 % (221074)Termination phase: Saturation
% 24.30/4.50 % (221074)Time elapsed: 0.183 s
% 24.30/4.50 % (221074)Peak memory usage: 93 MB
% 24.30/4.50 % (221074)Instructions burned: 326 (million)
% 24.30/4.50 % (221079)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2972239264:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 24.30/4.50 % (221082)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2051993802:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 24.30/4.50 % (221075)Instruction limit reached!
% 24.30/4.50 % (221075)------------------------------
% 24.30/4.50 % (221075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.30/4.50 % (221075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.30/4.50 % (221075)CaDiCaL version: 2.1.3
% 24.30/4.50 % (221075)Termination reason: Instruction limit
% 24.30/4.50 % (221075)Termination phase: Saturation
% 24.30/4.50 % (221075)Time elapsed: 0.245 s
% 24.30/4.50 % (221075)Peak memory usage: 92 MB
% 24.30/4.50 % (221075)Instructions burned: 248 (million)
% 24.30/4.50 % (221082)Refutation not found, incomplete strategy
% 24.30/4.50 % (221082)------------------------------
% 24.30/4.50 % (221082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.30/4.50 % (221082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.30/4.50 % (221082)CaDiCaL version: 2.1.3
% 24.30/4.50 % (221082)Termination reason: Refutation not found, incomplete strategy
% 24.30/4.50 % (221082)Time elapsed: 0.002 s
% 24.30/4.50 % (221082)Peak memory usage: 88 MB
% 24.30/4.50 % (221082)Instructions burned: 1 (million)
% 24.30/4.50 % (221057)Refutation not found, incomplete strategy
% 24.30/4.50 % (221057)------------------------------
% 24.30/4.50 % (221057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.30/4.50 % (221057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.30/4.50 % (221057)CaDiCaL version: 2.1.3
% 24.30/4.50 % (221057)Termination reason: Refutation not found, incomplete strategy
% 24.30/4.50 % (221057)Time elapsed: 0.915 s
% 24.30/4.50 % (221057)Peak memory usage: 127 MB
% 24.30/4.50 % (221057)Instructions burned: 896 (million)
% 24.30/4.50 % (221077)------------------------------
% 41.54/6.91 % (221077)------------------------------
% 41.54/6.91 % (221085)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2043521969:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 41.54/6.91 % (221085)Refutation not found, incomplete strategy
% 41.54/6.91 % (221085)------------------------------
% 41.54/6.91 % (221085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.54/6.91 % (221085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.54/6.91 % (221085)CaDiCaL version: 2.1.3
% 41.54/6.91 % (221085)Termination reason: Refutation not found, incomplete strategy
% 41.54/6.91 % (221085)Time elapsed: 0.002 s
% 41.54/6.91 % (221085)Peak memory usage: 88 MB
% 41.54/6.91 % (221082)------------------------------
% 41.54/6.91 % (221082)------------------------------
% 41.54/6.91 % (221086)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=368914540:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 41.54/6.91 % (221086)Refutation not found, incomplete strategy
% 41.54/6.91 % (221086)------------------------------
% 41.54/6.91 % (221086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.54/6.91 % (221086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.54/6.91 % (221086)CaDiCaL version: 2.1.3
% 41.54/6.91 % (221086)Termination reason: Refutation not found, incomplete strategy
% 41.54/6.91 % (221086)Time elapsed: 0.002 s
% 41.54/6.91 % (221086)Peak memory usage: 88 MB
% 41.54/6.91 % (221086)Instructions burned: 1 (million)
% 41.54/6.91 % (221057)------------------------------
% 41.54/6.91 % (221057)------------------------------
% 41.54/6.91 % (221088)lrs+10_1_sil=8000:sp=occurrence:random_seed=352057882:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 41.54/6.91 % (221091)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3565764644:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 41.54/6.91 % (221091)Refutation not found, incomplete strategy
% 41.54/6.91 % (221091)------------------------------
% 41.54/6.91 % (221091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.54/6.91 % (221091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.54/6.91 % (221091)CaDiCaL version: 2.1.3
% 41.54/6.91 % (221091)Termination reason: Refutation not found, incomplete strategy
% 41.54/6.91 % (221091)Time elapsed: 0.001 s
% 41.54/6.91 % (221091)Peak memory usage: 88 MB
% 41.54/6.91 % (221085)------------------------------
% 41.54/6.91 % (221085)------------------------------
% 41.54/6.91 % (221086)------------------------------
% 41.54/6.91 % (221086)------------------------------
% 41.54/6.91 % (221091)------------------------------
% 41.54/6.91 % (221091)------------------------------
% 41.54/6.91 % (221093)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3480564408:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 41.54/6.91 % (221095)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3973200231:st=8:i=592:sd=3:ep=RST:ss=axioms_2981 on theBenchmark for (2981ds/592Mi)
% 41.54/6.91 % (221095)Refutation not found, incomplete strategy
% 41.54/6.91 % (221095)------------------------------
% 41.54/6.91 % (221095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.54/6.91 % (221095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.54/6.91 % (221095)CaDiCaL version: 2.1.3
% 41.54/6.91 % (221095)Termination reason: Refutation not found, incomplete strategy
% 41.54/6.91 % (221095)Time elapsed: 0.001 s
% 41.54/6.91 % (221095)Peak memory usage: 88 MB
% 41.54/6.91 % (221095)Instructions burned: 1 (million)
% 41.54/6.91 % (221094)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1839657520:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 41.54/6.91 % (221094)Refutation not found, incomplete strategy
% 41.54/6.91 % (221094)------------------------------
% 41.54/6.91 % (221094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.54/6.91 % (221094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.54/6.91 % (221094)CaDiCaL version: 2.1.3
% 41.54/6.91 % (221094)Termination reason: Refutation not found, incomplete strategy
% 41.54/6.91 % (221094)Time elapsed: 0.003 s
% 41.54/6.91 % (221094)Peak memory usage: 89 MB
% 41.54/6.91 % (221094)Instructions burned: 1 (million)
% 41.54/6.91 % (221095)------------------------------
% 41.54/6.91 % (221095)------------------------------
% 72.26/11.15 % (221088)Instruction limit reached!
% 72.26/11.15 % (221088)------------------------------
% 72.26/11.15 % (221088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.26/11.15 % (221088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.26/11.15 % (221088)CaDiCaL version: 2.1.3
% 72.26/11.15 % (221088)Termination reason: Instruction limit
% 72.26/11.15 % (221088)Termination phase: Saturation
% 72.26/11.15 % (221088)Time elapsed: 0.902 s
% 72.26/11.15 % (221088)Peak memory usage: 97 MB
% 72.26/11.15 % (221088)Instructions burned: 908 (million)
% 72.26/11.15 % (221103)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1896397967:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 72.26/11.15 % (221094)------------------------------
% 72.26/11.15 % (221094)------------------------------
% 72.26/11.15 % (221104)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=98100880:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/125Mi)
% 72.26/11.15 % (221106)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=311805204:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 72.26/11.15 % (221104)Instruction limit reached!
% 72.26/11.15 % (221104)------------------------------
% 72.26/11.15 % (221104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.26/11.15 % (221104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.26/11.15 % (221104)CaDiCaL version: 2.1.3
% 72.26/11.15 % (221104)Termination reason: Instruction limit
% 72.26/11.15 % (221104)Termination phase: Saturation
% 72.26/11.15 % (221104)Time elapsed: 0.140 s
% 72.26/11.15 % (221104)Peak memory usage: 90 MB
% 72.26/11.15 % (221104)Instructions burned: 126 (million)
% 72.26/11.15 % (221106)Instruction limit reached!
% 72.26/11.15 % (221106)------------------------------
% 72.26/11.15 % (221106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.26/11.15 % (221106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.26/11.15 % (221106)CaDiCaL version: 2.1.3
% 72.26/11.15 % (221106)Termination reason: Instruction limit
% 72.26/11.15 % (221106)Termination phase: Saturation
% 72.26/11.15 % (221106)Time elapsed: 0.123 s
% 72.26/11.15 % (221106)Peak memory usage: 89 MB
% 72.26/11.15 % (221106)Instructions burned: 135 (million)
% 72.26/11.15 % (221109)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1875041595:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/141Mi)
% 72.26/11.15 % (221109)Refutation not found, incomplete strategy
% 72.26/11.15 % (221109)------------------------------
% 72.26/11.15 % (221109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.26/11.15 % (221109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.26/11.15 % (221109)CaDiCaL version: 2.1.3
% 72.26/11.15 % (221109)Termination reason: Refutation not found, incomplete strategy
% 72.26/11.15 % (221109)Time elapsed: 0.002 s
% 72.26/11.15 % (221109)Peak memory usage: 88 MB
% 72.26/11.15 % (221110)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2463961074:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2972 on theBenchmark for (2972ds/431Mi)
% 72.26/11.15 % (221110)Refutation not found, incomplete strategy
% 72.26/11.15 % (221110)------------------------------
% 72.26/11.15 % (221110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.26/11.15 % (221110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.26/11.15 % (221110)CaDiCaL version: 2.1.3
% 72.26/11.15 % (221110)Termination reason: Refutation not found, incomplete strategy
% 72.26/11.15 % (221110)Time elapsed: 0.002 s
% 72.26/11.15 % (221110)Peak memory usage: 88 MB
% 72.26/11.15 % (221109)------------------------------
% 72.26/11.15 % (221109)------------------------------
% 72.26/11.15 % (221110)------------------------------
% 72.26/11.15 % (221110)------------------------------
% 72.26/11.15 % (221113)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=141751548:i=6060:aac=none:ins=25_2967 on theBenchmark for (2967ds/6060Mi)
% 72.26/11.15 % (221079)Instruction limit reached!
% 72.26/11.15 % (221079)------------------------------
% 72.26/11.15 % (221079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.26/11.15 % (221079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.35/17.55 % (221079)CaDiCaL version: 2.1.3
% 117.35/17.55 % (221079)Termination reason: Instruction limit
% 117.35/17.55 % (221079)Termination phase: Saturation
% 117.35/17.55 % (221079)Time elapsed: 2.479 s
% 117.35/17.55 % (221079)Peak memory usage: 144 MB
% 117.35/17.55 % (221079)Instructions burned: 2350 (million)
% 117.35/17.55 % (221114)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=4048387895:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2965 on theBenchmark for (2965ds/150Mi)
% 117.35/17.55 % (221116)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=400472566:i=14155:bd=all_2965 on theBenchmark for (2965ds/14155Mi)
% 117.35/17.55 % (221114)Instruction limit reached!
% 117.35/17.55 % (221114)------------------------------
% 117.35/17.55 % (221114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 117.35/17.55 % (221114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.35/17.55 % (221114)CaDiCaL version: 2.1.3
% 117.35/17.55 % (221114)Termination reason: Instruction limit
% 117.35/17.55 % (221114)Termination phase: Saturation
% 117.35/17.55 % (221114)Time elapsed: 0.156 s
% 117.35/17.55 % (221114)Peak memory usage: 90 MB
% 117.35/17.55 % (221114)Instructions burned: 150 (million)
% 117.35/17.55 % (221121)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4230090332:i=667:av=off:fsr=off_2962 on theBenchmark for (2962ds/667Mi)
% 117.35/17.55 % (221121)Refutation not found, incomplete strategy
% 117.35/17.55 % (221121)------------------------------
% 117.35/17.55 % (221121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 117.35/17.55 % (221121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.35/17.55 % (221121)CaDiCaL version: 2.1.3
% 117.35/17.55 % (221121)Termination reason: Refutation not found, incomplete strategy
% 117.35/17.55 % (221121)Time elapsed: 0.002 s
% 117.35/17.55 % (221121)Peak memory usage: 88 MB
% 117.35/17.55 % (221121)Instructions burned: 1 (million)
% 117.35/17.55 % (221121)------------------------------
% 117.35/17.55 % (221121)------------------------------
% 117.35/17.55 % (221125)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=615221158:s2a=on:i=185:s2at=1.8:fdi=4_2955 on theBenchmark for (2955ds/185Mi)
% 117.35/17.55 % (221125)Instruction limit reached!
% 117.35/17.55 % (221125)------------------------------
% 117.35/17.55 % (221125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 117.35/17.55 % (221125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.35/17.55 % (221125)CaDiCaL version: 2.1.3
% 117.35/17.55 % (221125)Termination reason: Instruction limit
% 117.35/17.55 % (221125)Termination phase: Saturation
% 117.35/17.55 % (221125)Time elapsed: 0.196 s
% 117.35/17.55 % (221125)Peak memory usage: 91 MB
% 117.35/17.55 % (221125)Instructions burned: 185 (million)
% 117.35/17.55 % (221129)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=4159505042:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2951 on theBenchmark for (2951ds/193Mi)
% 117.35/17.55 % (221129)Instruction limit reached!
% 117.35/17.55 % (221129)------------------------------
% 117.35/17.55 % (221129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 117.35/17.55 % (221129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.35/17.55 % (221129)CaDiCaL version: 2.1.3
% 117.35/17.55 % (221129)Termination reason: Instruction limit
% 117.35/17.55 % (221129)Termination phase: Saturation
% 117.35/17.55 % (221129)Time elapsed: 0.207 s
% 117.35/17.55 % (221129)Peak memory usage: 92 MB
% 117.35/17.55 % (221129)Instructions burned: 193 (million)
% 117.35/17.55 % (221131)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=4099735374:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2947 on theBenchmark for (2947ds/4850Mi)
% 117.35/17.55 % (221131)Refutation not found, incomplete strategy
% 117.35/17.55 % (221131)------------------------------
% 117.35/17.55 % (221131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 117.35/17.55 % (221131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 117.35/17.55 % (221131)CaDiCaL version: 2.1.3
% 117.35/17.55 % (221131)Termination reason: Refutation not found, incomplete strategy
% 117.35/17.55 % (221131)Time elapsed: 0.002 s
% 117.35/17.55 % (221131)Peak memory usage: 88 MB
% 117.35/17.55 % (221131)------------------------------
% 117.35/17.55 % (221131)------------------------------
% 140.70/20.82 % (221133)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3298135430:i=12111:sd=1:ss=included_2941 on theBenchmark for (2941ds/12111Mi)
% 140.70/20.82 % (221093)Instruction limit reached!
% 140.70/20.82 % (221093)------------------------------
% 140.70/20.82 % (221093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.70/20.82 % (221093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.70/20.82 % (221093)CaDiCaL version: 2.1.3
% 140.70/20.82 % (221093)Termination reason: Instruction limit
% 140.70/20.82 % (221093)Termination phase: Saturation
% 140.70/20.82 % (221093)Time elapsed: 5.246 s
% 140.70/20.82 % (221093)Peak memory usage: 168 MB
% 140.70/20.82 % (221093)Instructions burned: 5203 (million)
% 140.70/20.82 % (221137)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=159619210:i=319:kws=precedence:fsr=off_2928 on theBenchmark for (2928ds/319Mi)
% 140.70/20.82 % (221137)Instruction limit reached!
% 140.70/20.82 % (221137)------------------------------
% 140.70/20.82 % (221137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.70/20.82 % (221137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.70/20.82 % (221137)CaDiCaL version: 2.1.3
% 140.70/20.82 % (221137)Termination reason: Instruction limit
% 140.70/20.82 % (221137)Termination phase: Saturation
% 140.70/20.82 % (221137)Time elapsed: 0.308 s
% 140.70/20.82 % (221137)Peak memory usage: 93 MB
% 140.70/20.82 % (221137)Instructions burned: 320 (million)
% 140.70/20.82 % (221139)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1481154213:i=2064:ep=RST_2923 on theBenchmark for (2923ds/2064Mi)
% 140.70/20.82 % (221139)Refutation not found, incomplete strategy
% 140.70/20.82 % (221139)------------------------------
% 140.70/20.82 % (221139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.70/20.82 % (221139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.70/20.82 % (221139)CaDiCaL version: 2.1.3
% 140.70/20.82 % (221139)Termination reason: Refutation not found, incomplete strategy
% 140.70/20.82 % (221139)Time elapsed: 0.002 s
% 140.70/20.82 % (221139)Peak memory usage: 88 MB
% 140.70/20.82 % (221139)Instructions burned: 1 (million)
% 140.70/20.82 % (221139)------------------------------
% 140.70/20.82 % (221139)------------------------------
% 140.70/20.82 % (221141)dis-1011_128_sil=32000:random_seed=1093929901:i=3706:ep=RST:av=off_2917 on theBenchmark for (2917ds/3706Mi)
% 140.70/20.82 % (221113)Instruction limit reached!
% 140.70/20.82 % (221113)------------------------------
% 140.70/20.82 % (221113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.70/20.82 % (221113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.70/20.82 % (221113)CaDiCaL version: 2.1.3
% 140.70/20.82 % (221113)Termination reason: Instruction limit
% 140.70/20.82 % (221113)Termination phase: Saturation
% 140.70/20.82 % (221113)Time elapsed: 6.144 s
% 140.70/20.82 % (221113)Peak memory usage: 181 MB
% 140.70/20.82 % (221113)Instructions burned: 6060 (million)
% 140.70/20.82 % (221145)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3476023182:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2903 on theBenchmark for (2903ds/757Mi)
% 140.70/20.82 % (221145)Refutation not found, incomplete strategy
% 140.70/20.82 % (221145)------------------------------
% 140.70/20.82 % (221145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.70/20.82 % (221145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.70/20.82 % (221145)CaDiCaL version: 2.1.3
% 140.70/20.82 % (221145)Termination reason: Refutation not found, incomplete strategy
% 140.70/20.82 % (221145)Time elapsed: 0.002 s
% 140.70/20.82 % (221145)Peak memory usage: 88 MB
% 140.70/20.82 % (221145)Instructions burned: 1 (million)
% 140.70/20.82 % (221103)Instruction limit reached!
% 140.70/20.82 % (221103)------------------------------
% 140.70/20.82 % (221103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 140.70/20.82 % (221103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 140.70/20.82 % (221103)CaDiCaL version: 2.1.3
% 140.70/20.82 % (221103)Termination reason: Instruction limit
% 140.70/20.82 % (221103)Termination phase: Saturation
% 140.70/20.82 % (221103)Time elapsed: 7.551 s
% 140.70/20.82 % (221103)Peak memory usage: 244 MB
% 140.70/20.82 % (221103)Instructions burned: 13194 (million)
% 140.70/20.82 % (221149)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=561130473:i=13913:ss=axioms:sgt=8_2900 on theBenchmark for (2900ds/13913Mi)
% 166.98/24.53 % (221145)------------------------------
% 166.98/24.53 % (221145)------------------------------
% 166.98/24.53 % (221151)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1201316577:i=9925:aac=none_2897 on theBenchmark for (2897ds/9925Mi)
% 166.98/24.53 % (221151)Refutation not found, incomplete strategy
% 166.98/24.53 % (221151)------------------------------
% 166.98/24.53 % (221151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.98/24.53 % (221151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.98/24.53 % (221151)CaDiCaL version: 2.1.3
% 166.98/24.53 % (221151)Termination reason: Refutation not found, incomplete strategy
% 166.98/24.53 % (221151)Time elapsed: 0.986 s
% 166.98/24.53 % (221151)Peak memory usage: 128 MB
% 166.98/24.53 % (221151)Instructions burned: 900 (million)
% 166.98/24.53 % (221151)------------------------------
% 166.98/24.53 % (221151)------------------------------
% 166.98/24.53 % (221141)Instruction limit reached!
% 166.98/24.53 % (221141)------------------------------
% 166.98/24.53 % (221141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.98/24.53 % (221141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.98/24.53 % (221141)CaDiCaL version: 2.1.3
% 166.98/24.53 % (221141)Termination reason: Instruction limit
% 166.98/24.53 % (221141)Termination phase: Saturation
% 166.98/24.53 % (221141)Time elapsed: 3.450 s
% 166.98/24.53 % (221141)Peak memory usage: 114 MB
% 166.98/24.53 % (221141)Instructions burned: 3707 (million)
% 166.98/24.53 % (221153)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2729518069:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2881 on theBenchmark for (2881ds/2479Mi)
% 166.98/24.53 % (221153)Refutation not found, incomplete strategy
% 166.98/24.53 % (221153)------------------------------
% 166.98/24.53 % (221153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.98/24.53 % (221153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.98/24.53 % (221153)CaDiCaL version: 2.1.3
% 166.98/24.53 % (221153)Termination reason: Refutation not found, incomplete strategy
% 166.98/24.53 % (221153)Time elapsed: 0.003 s
% 166.98/24.53 % (221153)Peak memory usage: 88 MB
% 166.98/24.53 % (221153)Instructions burned: 1 (million)
% 166.98/24.53 % (221156)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=63934664:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2880 on theBenchmark for (2880ds/440Mi)
% 166.98/24.53 % (221153)------------------------------
% 166.98/24.53 % (221153)------------------------------
% 166.98/24.53 % (221156)Instruction limit reached!
% 166.98/24.53 % (221156)------------------------------
% 166.98/24.53 % (221156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.98/24.53 % (221156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.98/24.53 % (221156)CaDiCaL version: 2.1.3
% 166.98/24.53 % (221156)Termination reason: Instruction limit
% 166.98/24.53 % (221156)Termination phase: Saturation
% 166.98/24.53 % (221156)Time elapsed: 0.395 s
% 166.98/24.53 % (221156)Peak memory usage: 93 MB
% 166.98/24.53 % (221156)Instructions burned: 441 (million)
% 166.98/24.53 % (221159)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3599794854:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2874 on theBenchmark for (2874ds/11145Mi)
% 166.98/24.53 % (221160)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=3169800890:cts=off:i=3034:av=off:er=known:fsd=on_2874 on theBenchmark for (2874ds/3034Mi)
% 166.98/24.53 % (221160)Instruction limit reached!
% 166.98/24.53 % (221160)------------------------------
% 166.98/24.53 % (221160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.98/24.53 % (221160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.98/24.53 % (221160)CaDiCaL version: 2.1.3
% 166.98/24.53 % (221160)Termination reason: Instruction limit
% 166.98/24.53 % (221160)Termination phase: Saturation
% 166.98/24.53 % (221160)Time elapsed: 2.948 s
% 166.98/24.53 % (221160)Peak memory usage: 142 MB
% 166.98/24.53 % (221160)Instructions burned: 3034 (million)
% 166.98/24.53 % (221166)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=2239429112:st=2:s2a=on:i=524:s2at=2:ss=axioms_2842 on theBenchmark for (2842ds/524Mi)
% 166.98/24.53 % (221166)Instruction limit reached!
% 166.98/24.53 % (221166)------------------------------
% 166.98/24.53 % (221166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 187.56/27.47 % (221166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 187.56/27.47 % (221166)CaDiCaL version: 2.1.3
% 187.56/27.47 % (221166)Termination reason: Instruction limit
% 187.56/27.47 % (221166)Termination phase: Saturation
% 187.56/27.47 % (221166)Time elapsed: 0.499 s
% 187.56/27.47 % (221166)Peak memory usage: 93 MB
% 187.56/27.47 % (221166)Instructions burned: 524 (million)
% 187.56/27.47 % (221170)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=1314262172:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2834 on theBenchmark for (2834ds/1016Mi)
% 187.56/27.47 % (221170)Instruction limit reached!
% 187.56/27.47 % (221170)------------------------------
% 187.56/27.47 % (221170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 187.56/27.47 % (221170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 187.56/27.47 % (221170)CaDiCaL version: 2.1.3
% 187.56/27.47 % (221170)Termination reason: Instruction limit
% 187.56/27.47 % (221170)Termination phase: Saturation
% 187.56/27.47 % (221170)Time elapsed: 0.971 s
% 187.56/27.47 % (221170)Peak memory usage: 101 MB
% 187.56/27.47 % (221170)Instructions burned: 1016 (million)
% 187.56/27.47 % (221133)Instruction limit reached!
% 187.56/27.47 % (221133)------------------------------
% 187.56/27.47 % (221133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 187.56/27.47 % (221133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 187.56/27.47 % (221133)CaDiCaL version: 2.1.3
% 187.56/27.47 % (221133)Termination reason: Instruction limit
% 187.56/27.47 % (221133)Termination phase: Saturation
% 187.56/27.47 % (221133)Time elapsed: 11.826 s
% 187.56/27.47 % (221133)Peak memory usage: 251 MB
% 187.56/27.47 % (221133)Instructions burned: 12111 (million)
% 187.56/27.47 % (221174)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=2696731350:i=14123:bd=preordered:ins=4_2822 on theBenchmark for (2822ds/14123Mi)
% 187.56/27.47 % (221149)Instruction limit reached!
% 187.56/27.47 % (221149)------------------------------
% 187.56/27.47 % (221149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 187.56/27.47 % (221149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 187.56/27.47 % (221149)CaDiCaL version: 2.1.3
% 187.56/27.47 % (221149)Termination reason: Instruction limit
% 187.56/27.47 % (221149)Termination phase: Saturation
% 187.56/27.47 % (221149)Time elapsed: 7.918 s
% 187.56/27.47 % (221149)Peak memory usage: 248 MB
% 187.56/27.47 % (221149)Instructions burned: 13914 (million)
% 187.56/27.47 % (221176)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=63987651:i=5781:kws=precedence:bd=all:rawr=on_2820 on theBenchmark for (2820ds/5781Mi)
% 187.56/27.47 % (221177)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=3004788786:i=2448:gtgl=5:bd=preordered:gtg=all_2819 on theBenchmark for (2819ds/2448Mi)
% 187.56/27.47 % (221116)Instruction limit reached!
% 187.56/27.47 % (221116)------------------------------
% 187.56/27.47 % (221116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 187.56/27.47 % (221116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 187.56/27.47 % (221116)CaDiCaL version: 2.1.3
% 187.56/27.47 % (221116)Termination reason: Instruction limit
% 187.56/27.47 % (221116)Termination phase: Saturation
% 187.56/27.47 % (221116)Time elapsed: 15.184 s
% 187.56/27.47 % (221116)Peak memory usage: 249 MB
% 187.56/27.47 % (221116)Instructions burned: 14155 (million)
% 187.56/27.47 % (221180)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=1226758661:i=3223:kws=precedence:fgj=on:av=off_2811 on theBenchmark for (2811ds/3223Mi)
% 187.56/27.47 % (221177)Instruction limit reached!
% 187.56/27.47 % (221177)------------------------------
% 187.56/27.47 % (221177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 187.56/27.47 % (221177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 187.56/27.47 % (221177)CaDiCaL version: 2.1.3
% 187.56/27.47 % (221177)Termination reason: Instruction limit
% 187.56/27.47 % (221177)Termination phase: Saturation
% 187.56/27.47 % (221177)Time elapsed: 1.389 s
% 187.56/27.47 % (221177)Peak memory usage: 144 MB
% 187.56/27.47 % (221177)Instructions burned: 2449 (million)
% 187.56/27.47 % (221182)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=2352266809:st=5.6:i=2033:sd=3:ss=axioms_2803 on theBenchmark for (2803ds/2033Mi)
% 144.02/28.11 % (221182)Refutation not found, incomplete strategy
% 144.02/28.11 % (221182)------------------------------
% 144.02/28.11 % (221182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.02/28.11 % (221182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.02/28.11 % (221182)CaDiCaL version: 2.1.3
% 144.02/28.11 % (221182)Termination reason: Refutation not found, incomplete strategy
% 144.02/28.11 % (221182)Time elapsed: 0.503 s
% 144.02/28.11 % (221182)Peak memory usage: 128 MB
% 144.02/28.11 % (221182)Instructions burned: 858 (million)
% 144.02/28.11 % (221182)------------------------------
% 144.02/28.11 % (221182)------------------------------
% 144.02/28.11 % (221184)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=3951333948:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2794 on theBenchmark for (2794ds/2055Mi)
% 144.02/28.11 % (221184)Instruction limit reached!
% 144.02/28.11 % (221184)------------------------------
% 144.02/28.11 % (221184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.02/28.11 % (221184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.02/28.11 % (221184)CaDiCaL version: 2.1.3
% 144.02/28.11 % (221184)Termination reason: Instruction limit
% 144.02/28.11 % (221184)Termination phase: Saturation
% 144.02/28.11 % (221184)Time elapsed: 1.100 s
% 144.02/28.11 % (221184)Peak memory usage: 136 MB
% 144.02/28.11 % (221184)Instructions burned: 2055 (million)
% 144.02/28.11 % (221186)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=1183796367:i=21611:sd=3:ss=axioms_2782 on theBenchmark for (2782ds/21611Mi)
% 144.02/28.11 % (221180)Instruction limit reached!
% 144.02/28.11 % (221180)------------------------------
% 144.02/28.11 % (221180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.02/28.11 % (221180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.02/28.11 % (221180)CaDiCaL version: 2.1.3
% 144.02/28.11 % (221180)Termination reason: Instruction limit
% 144.02/28.11 % (221180)Termination phase: Saturation
% 144.02/28.11 % (221180)Time elapsed: 3.417 s
% 144.02/28.11 % (221180)Peak memory usage: 153 MB
% 144.02/28.11 % (221180)Instructions burned: 3223 (million)
% 144.02/28.11 % (221190)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=698085975:i=4835:sd=13:ss=axioms:sgt=23_2774 on theBenchmark for (2774ds/4835Mi)
% 144.02/28.11 % (221190)Refutation not found, incomplete strategy
% 144.02/28.11 % (221190)------------------------------
% 144.02/28.11 % (221190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.02/28.11 % (221190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.02/28.11 % (221190)CaDiCaL version: 2.1.3
% 144.02/28.11 % (221190)Termination reason: Refutation not found, incomplete strategy
% 144.02/28.11 % (221190)Time elapsed: 0.002 s
% 144.02/28.11 % (221190)Peak memory usage: 88 MB
% 144.02/28.11 % (221190)Instructions burned: 2 (million)
% 144.02/28.11 % (221190)------------------------------
% 144.02/28.11 % (221190)------------------------------
% 144.02/28.11 % (221192)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=2566317935:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2770 on theBenchmark for (2770ds/797Mi)
% 144.02/28.11 % (221192)Refutation not found, incomplete strategy
% 144.02/28.11 % (221192)------------------------------
% 144.02/28.11 % (221192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.02/28.11 % (221192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.02/28.11 % (221192)CaDiCaL version: 2.1.3
% 144.02/28.11 % (221192)Termination reason: Refutation not found, incomplete strategy
% 144.02/28.11 % (221192)Time elapsed: 0.001 s
% 144.02/28.11 % (221192)Peak memory usage: 88 MB
% 144.02/28.11 % (221192)Instructions burned: 1 (million)
% 144.02/28.11 % (221192)------------------------------
% 144.02/28.11 % (221192)------------------------------
% 144.02/28.11 % (221194)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=3581590116:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2766 on theBenchmark for (2766ds/2326Mi)
% 144.02/28.11 % (221194)Refutation not found, incomplete strategy
% 144.02/28.11 % (221194)------------------------------
% 144.02/28.11 % (221194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.02/28.11 % (221194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.02/28.11 % (221194)CaDiCaL version: 2.1.3
% 144.02/28.11 % (221194)Termination reason: Refutation not found, incomplete strategy
% 144.02/28.11 % (221194)Time elapsed: 0.001 s
% 144.02/28.11 % (221194)Peak memory usage: 88 MB
% 144.02/28.11 % (221194)Instructions burned: 1 (million)
% 144.02/28.11 % (221194)------------------------------
% 144.02/28.11 % (221194)------------------------------
% 144.02/28.11 % (221196)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=2094488526:i=6038:nm=6_2762 on theBenchmark for (2762ds/6038Mi)
% 144.02/28.11 % (221159)Instruction limit reached!
% 144.02/28.11 % (221159)------------------------------
% 144.02/28.11 % (221159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.02/28.11 % (221159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.02/28.11 % (221159)CaDiCaL version: 2.1.3
% 144.02/28.11 % (221159)Termination reason: Instruction limit
% 144.02/28.11 % (221159)Termination phase: Saturation
% 144.02/28.11 % (221159)Time elapsed: 11.187 s
% 144.02/28.11 % (221159)Peak memory usage: 225 MB
% 144.02/28.11 % (221159)Instructions burned: 11145 (million)
% 144.02/28.11 % (221198)lrs+10_1_sil=32000:sp=occurrence:random_seed=4120344196:st=2:i=33334:sd=3:ss=included:sgt=32_2760 on theBenchmark for (2760ds/33334Mi)
% 144.02/28.11 % (221176)Instruction limit reached!
% 144.02/28.11 % (221176)------------------------------
% 144.02/28.11 % (221176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.02/28.11 % (221176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.02/28.11 % (221176)CaDiCaL version: 2.1.3
% 144.02/28.11 % (221176)Termination reason: Instruction limit
% 144.02/28.11 % (221176)Termination phase: Saturation
% 144.02/28.11 % (221176)Time elapsed: 6.165 s
% 144.02/28.11 % (221176)Peak memory usage: 154 MB
% 144.02/28.11 % (221176)Instructions burned: 5781 (million)
% 144.02/28.11 % (221196)Refutation not found, incomplete strategy
% 144.02/28.11 % (221196)------------------------------
% 144.02/28.11 % (221196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.02/28.11 % (221196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.02/28.11 % (221196)CaDiCaL version: 2.1.3
% 144.02/28.11 % (221196)Termination reason: Refutation not found, incomplete strategy
% 144.02/28.11 % (221196)Time elapsed: 0.547 s
% 144.02/28.11 % (221196)Peak memory usage: 128 MB
% 144.02/28.11 % (221196)Instructions burned: 891 (million)
% 144.02/28.11 % (221200)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=1700137251:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2756 on theBenchmark for (2756ds/1008Mi)
% 144.02/28.11 % (221200)Refutation not found, incomplete strategy
% 144.02/28.11 % (221200)------------------------------
% 144.02/28.11 % (221200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.02/28.11 % (221200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.02/28.11 % (221200)CaDiCaL version: 2.1.3
% 144.02/28.11 % (221200)Termination reason: Refutation not found, incomplete strategy
% 144.02/28.11 % (221200)Time elapsed: 0.007 s
% 144.02/28.11 % (221200)Peak memory usage: 88 MB
% 144.02/28.11 % (221200)Instructions burned: 5 (million)
% 144.02/28.11 % (221196)------------------------------
% 144.02/28.11 % (221196)------------------------------
% 144.02/28.11 % (221202)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=1039696053:i=8327:s2at=5:bd=preordered_2753 on theBenchmark for (2753ds/8327Mi)
% 144.02/28.11 % (221200)------------------------------
% 144.02/28.11 % (221200)------------------------------
% 144.02/28.11 % (221204)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=853783830:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2749 on theBenchmark for (2749ds/1083Mi)
% 144.02/28.11 % (221204)Instruction limit reached!
% 144.02/28.11 % (221204)------------------------------
% 144.02/28.11 % (221204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.02/28.11 % (221204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.02/28.11 % (221204)CaDiCaL version: 2.1.3
% 144.02/28.11 % (221204)Termination reason: Instruction limit
% 144.02/28.11 % (221204)Termination phase: Saturation
% 144.02/28.11 % (221204)Time elapsed: 0.928 s
% 144.02/28.11 % (221204)Peak memory usage: 99 MB
% 144.02/28.11 % (221204)Instructions burned: 1083 (million)
% 144.02/28.11 % (221208)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=2718746471:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2737 on theBenchmark for (2737ds/1084Mi)
% 144.02/28.11 % (221055)First to succeed.
% 144.02/28.11 % (221055)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-221042"
% 144.02/28.11 % (221055)Refutation found. Thanks to Tanya!
% 144.02/28.11 % SZS status Theorem for theBenchmark
% 144.02/28.11 % SZS output start Proof for theBenchmark
% See solution above
% 192.76/28.44 % (221055)------------------------------
% 192.76/28.44 % (221055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 192.76/28.44 % (221055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 192.76/28.44 % (221055)CaDiCaL version: 2.1.3
% 192.76/28.44 % (221055)Termination reason: Refutation
% 192.76/28.44 % (221055)Time elapsed: 26.357 s
% 192.76/28.44 % (221055)Peak memory usage: 379 MB
% 192.76/28.44 % (221055)Instructions burned: 26043 (million)
% 192.76/28.44 % (221055)------------------------------
% 192.76/28.44 % (221055)------------------------------
% 192.76/28.44 % (221042)Success in time 27.077 s
% 192.76/28.44 % Vampire exiting
%------------------------------------------------------------------------------