%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE143+2 : 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 : n004.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 11:40:27 AM UTC 2026
% Result : Theorem 9.74s 3.03s
% Output : Refutation 9.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 20
% Syntax : Number of formulae : 122 ( 86 unt; 2 def)
% Number of atoms : 160 ( 86 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 72 ( 34 ~; 30 |; 3 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 167 ( 0 sgn 166 !; 1 ?)
% 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] :
( leq(multiplication(strong_iteration(X0),strong_iteration(X0)),strong_iteration(X0))
& leq(strong_iteration(X0),multiplication(strong_iteration(X0),strong_iteration(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0] :
( leq(multiplication(strong_iteration(X0),strong_iteration(X0)),strong_iteration(X0))
& leq(strong_iteration(X0),multiplication(strong_iteration(X0),strong_iteration(X0))) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
? [X0] :
( ~ leq(multiplication(strong_iteration(X0),strong_iteration(X0)),strong_iteration(X0))
| ~ leq(strong_iteration(X0),multiplication(strong_iteration(X0),strong_iteration(X0))) ),
inference(ennf_transformation,[],[f20]) ).
fof(f22,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,X2] :
( leq(multiplication(star(X0),X1),X2)
| ~ leq(addition(multiplication(X0,X2),X1),X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f25,plain,
( ~ leq(multiplication(strong_iteration(sK0),strong_iteration(sK0)),strong_iteration(sK0))
| ~ leq(strong_iteration(sK0),multiplication(strong_iteration(sK0),strong_iteration(sK0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f21]) ).
fof(f26,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f27,plain,
( ~ leq(multiplication(strong_iteration(sK0),strong_iteration(sK0)),strong_iteration(sK0))
| ~ leq(strong_iteration(sK0),multiplication(strong_iteration(sK0),strong_iteration(sK0))) ),
inference(cnf_transformation,[],[f25]) ).
fof(f28,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f29,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ leq(X2,addition(multiplication(X0,X2),X1))
| leq(X2,multiplication(strong_iteration(X0),X1)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X2),X1),X2)
| leq(multiplication(star(X0),X1),X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f33,plain,
! [X0] : star(X0) = addition(one,multiplication(star(X0),X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f34,plain,
! [X0] : star(X0) = addition(one,multiplication(X0,star(X0))),
inference(cnf_transformation,[],[f11]) ).
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,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f37,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f38,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f39,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f40,plain,
! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
inference(cnf_transformation,[],[f17]) ).
fof(f41,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[],[f15]) ).
fof(f42,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f43,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f44,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f45,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f46,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f47,plain,
! [X0] : strong_iteration(X0) = addition(one,multiplication(X0,strong_iteration(X0))),
inference(forward_demodulation,[],[f41,f44]) ).
fof(f49,definition,
( spl1_1
<=> leq(strong_iteration(sK0),multiplication(strong_iteration(sK0),strong_iteration(sK0))) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f51,plain,
( ~ leq(strong_iteration(sK0),multiplication(strong_iteration(sK0),strong_iteration(sK0)))
| spl1_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f53,definition,
( spl1_2
<=> leq(multiplication(strong_iteration(sK0),strong_iteration(sK0)),strong_iteration(sK0)) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f55,plain,
( ~ leq(multiplication(strong_iteration(sK0),strong_iteration(sK0)),strong_iteration(sK0))
| spl1_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f56,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f27,f53,f49]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ leq(X2,addition(X0,multiplication(X1,X2)))
| leq(X2,multiplication(strong_iteration(X1),X0)) ),
inference(superposition,[],[f30,f44]) ).
fof(f79,plain,
! [X0,X1] : strong_iteration(multiplication(X0,X1)) = addition(one,multiplication(X0,multiplication(X1,strong_iteration(multiplication(X0,X1))))),
inference(superposition,[],[f47,f39]) ).
fof(f88,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f35,f37]) ).
fof(f108,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f29,f42]) ).
fof(f109,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f108]) ).
fof(f115,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f36,f38]) ).
fof(f123,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f43,f42]) ).
fof(f127,plain,
! [X0,X1] : addition(one,addition(multiplication(X0,strong_iteration(X0)),X1)) = addition(strong_iteration(X0),X1),
inference(superposition,[],[f43,f47]) ).
fof(f138,plain,
! [X2,X0,X1] : multiplication(addition(one,multiplication(X0,X1)),X2) = addition(X2,multiplication(X0,multiplication(X1,X2))),
inference(superposition,[],[f88,f39]) ).
fof(f173,plain,
! [X0] : strong_iteration(X0) = addition(one,strong_iteration(X0)),
inference(superposition,[],[f123,f47]) ).
fof(f176,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f29,f123]) ).
fof(f179,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f176]) ).
fof(f190,plain,
! [X0,X1] : leq(X0,multiplication(strong_iteration(X1),X0)),
inference(resolution,[],[f179,f64]) ).
fof(f194,plain,
! [X0,X1] : leq(X1,addition(X0,X1)),
inference(superposition,[],[f179,f44]) ).
fof(f201,plain,
( $false
| spl1_1 ),
inference(resolution,[],[f190,f51]) ).
fof(f204,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f201]) ).
fof(f215,plain,
! [X0] : addition(one,multiplication(X0,strong_iteration(X0))) = addition(strong_iteration(X0),multiplication(X0,strong_iteration(X0))),
inference(superposition,[],[f127,f42]) ).
fof(f227,plain,
! [X0] : addition(one,multiplication(X0,strong_iteration(X0))) = multiplication(addition(one,X0),strong_iteration(X0)),
inference(forward_demodulation,[],[f215,f88]) ).
fof(f231,plain,
! [X0] : strong_iteration(X0) = multiplication(addition(one,X0),strong_iteration(X0)),
inference(forward_demodulation,[],[f227,f47]) ).
fof(f235,plain,
! [X0,X1] : addition(strong_iteration(X0),X1) = addition(star(X0),addition(multiplication(strong_iteration(X0),zero),X1)),
inference(superposition,[],[f43,f40]) ).
fof(f312,plain,
! [X0,X1] :
( ~ leq(multiplication(X1,strong_iteration(multiplication(X0,X1))),strong_iteration(multiplication(X0,X1)))
| leq(multiplication(X1,strong_iteration(multiplication(X0,X1))),multiplication(strong_iteration(X0),one)) ),
inference(superposition,[],[f64,f79]) ).
fof(f321,plain,
! [X0,X1] :
( ~ leq(multiplication(X1,strong_iteration(multiplication(X0,X1))),strong_iteration(multiplication(X0,X1)))
| leq(multiplication(X1,strong_iteration(multiplication(X0,X1))),strong_iteration(X0)) ),
inference(forward_demodulation,[],[f312,f38]) ).
fof(f338,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f44,f46]) ).
fof(f420,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(superposition,[],[f123,f34]) ).
fof(f515,plain,
! [X0,X1] : addition(strong_iteration(X0),multiplication(strong_iteration(X0),X1)) = addition(star(X0),multiplication(strong_iteration(X0),addition(zero,X1))),
inference(superposition,[],[f235,f36]) ).
fof(f539,plain,
! [X0,X1] : addition(strong_iteration(X0),multiplication(strong_iteration(X0),X1)) = addition(star(X0),multiplication(strong_iteration(X0),X1)),
inference(forward_demodulation,[],[f515,f338]) ).
fof(f545,plain,
! [X0,X1] : multiplication(strong_iteration(X0),addition(one,X1)) = addition(star(X0),multiplication(strong_iteration(X0),X1)),
inference(forward_demodulation,[],[f539,f115]) ).
fof(f577,plain,
! [X0,X1] : addition(star(X0),X1) = addition(one,addition(multiplication(star(X0),X0),X1)),
inference(superposition,[],[f43,f33]) ).
fof(f980,plain,
! [X0,X1] : addition(star(X0),multiplication(star(X0),X1)) = addition(one,multiplication(star(X0),addition(X0,X1))),
inference(superposition,[],[f577,f36]) ).
fof(f981,plain,
! [X0,X1] : addition(star(X0),multiplication(X1,X0)) = addition(one,multiplication(addition(star(X0),X1),X0)),
inference(superposition,[],[f577,f35]) ).
fof(f1017,plain,
! [X0,X1] : addition(one,multiplication(star(X0),addition(X0,X1))) = multiplication(star(X0),addition(one,X1)),
inference(forward_demodulation,[],[f980,f115]) ).
fof(f1027,plain,
! [X0] : strong_iteration(multiplication(X0,strong_iteration(X0))) = multiplication(strong_iteration(X0),strong_iteration(multiplication(X0,strong_iteration(X0)))),
inference(superposition,[],[f231,f47]) ).
fof(f1480,plain,
! [X0] :
( ~ leq(strong_iteration(multiplication(X0,strong_iteration(X0))),strong_iteration(multiplication(X0,strong_iteration(X0))))
| leq(strong_iteration(multiplication(X0,strong_iteration(X0))),strong_iteration(X0)) ),
inference(superposition,[],[f321,f1027]) ).
fof(f1490,plain,
! [X0] : leq(strong_iteration(multiplication(X0,strong_iteration(X0))),strong_iteration(X0)),
inference(forward_subsumption_resolution,[],[f1480,f109]) ).
fof(f1495,plain,
! [X0] : strong_iteration(X0) = addition(strong_iteration(multiplication(X0,strong_iteration(X0))),strong_iteration(X0)),
inference(resolution,[],[f1490,f28]) ).
fof(f1499,plain,
! [X0] : strong_iteration(X0) = addition(strong_iteration(X0),strong_iteration(multiplication(X0,strong_iteration(X0)))),
inference(forward_demodulation,[],[f1495,f44]) ).
fof(f1514,plain,
! [X0] : multiplication(star(strong_iteration(X0)),addition(one,strong_iteration(multiplication(X0,strong_iteration(X0))))) = addition(one,multiplication(star(strong_iteration(X0)),strong_iteration(X0))),
inference(superposition,[],[f1017,f1499]) ).
fof(f1518,plain,
! [X0] : star(strong_iteration(X0)) = multiplication(star(strong_iteration(X0)),addition(one,strong_iteration(multiplication(X0,strong_iteration(X0))))),
inference(forward_demodulation,[],[f1514,f33]) ).
fof(f1522,plain,
! [X0] : star(strong_iteration(X0)) = multiplication(star(strong_iteration(X0)),strong_iteration(multiplication(X0,strong_iteration(X0)))),
inference(forward_demodulation,[],[f1518,f173]) ).
fof(f1535,plain,
! [X0,X1] :
( leq(multiplication(star(X0),multiplication(X0,X1)),X1)
| ~ leq(multiplication(X0,X1),X1) ),
inference(superposition,[],[f32,f42]) ).
fof(f1550,plain,
! [X0,X1] :
( ~ leq(multiplication(X0,X1),X1)
| addition(multiplication(star(X0),multiplication(X0,X1)),X1) = X1 ),
inference(resolution,[],[f1535,f28]) ).
fof(f1561,plain,
! [X0,X1] :
( addition(X1,multiplication(star(X0),multiplication(X0,X1))) = X1
| ~ leq(multiplication(X0,X1),X1) ),
inference(forward_demodulation,[],[f1550,f44]) ).
fof(f1564,plain,
! [X0,X1] :
( multiplication(addition(one,multiplication(star(X0),X0)),X1) = X1
| ~ leq(multiplication(X0,X1),X1) ),
inference(forward_demodulation,[],[f1561,f138]) ).
fof(f1566,plain,
! [X0,X1] :
( ~ leq(multiplication(X0,X1),X1)
| multiplication(star(X0),X1) = X1 ),
inference(forward_demodulation,[],[f1564,f33]) ).
fof(f2233,plain,
! [X0] :
( ~ leq(strong_iteration(multiplication(X0,strong_iteration(X0))),strong_iteration(multiplication(X0,strong_iteration(X0))))
| strong_iteration(multiplication(X0,strong_iteration(X0))) = multiplication(star(strong_iteration(X0)),strong_iteration(multiplication(X0,strong_iteration(X0)))) ),
inference(superposition,[],[f1566,f1027]) ).
fof(f2234,plain,
! [X0] : strong_iteration(multiplication(X0,strong_iteration(X0))) = multiplication(star(strong_iteration(X0)),strong_iteration(multiplication(X0,strong_iteration(X0)))),
inference(forward_subsumption_resolution,[],[f2233,f109]) ).
fof(f2243,plain,
! [X0] : strong_iteration(multiplication(X0,strong_iteration(X0))) = star(strong_iteration(X0)),
inference(forward_demodulation,[],[f2234,f1522]) ).
fof(f2413,plain,
! [X0] : strong_iteration(X0) = addition(strong_iteration(X0),star(strong_iteration(X0))),
inference(superposition,[],[f1499,f2243]) ).
fof(f2781,plain,
! [X0] : addition(star(X0),multiplication(multiplication(strong_iteration(X0),zero),X0)) = addition(one,multiplication(strong_iteration(X0),X0)),
inference(superposition,[],[f981,f40]) ).
fof(f2842,plain,
! [X0] : addition(one,multiplication(strong_iteration(X0),X0)) = addition(star(X0),multiplication(strong_iteration(X0),multiplication(zero,X0))),
inference(forward_demodulation,[],[f2781,f39]) ).
fof(f2853,plain,
! [X0] : addition(one,multiplication(strong_iteration(X0),X0)) = multiplication(strong_iteration(X0),addition(one,multiplication(zero,X0))),
inference(forward_demodulation,[],[f2842,f545]) ).
fof(f2858,plain,
! [X0] : multiplication(strong_iteration(X0),addition(one,zero)) = addition(one,multiplication(strong_iteration(X0),X0)),
inference(forward_demodulation,[],[f2853,f45]) ).
fof(f2860,plain,
! [X0] : multiplication(strong_iteration(X0),one) = addition(one,multiplication(strong_iteration(X0),X0)),
inference(forward_demodulation,[],[f2858,f46]) ).
fof(f2862,plain,
! [X0] : strong_iteration(X0) = addition(one,multiplication(strong_iteration(X0),X0)),
inference(forward_demodulation,[],[f2860,f38]) ).
fof(f2885,plain,
! [X0] : leq(multiplication(strong_iteration(X0),X0),strong_iteration(X0)),
inference(superposition,[],[f194,f2862]) ).
fof(f3022,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(strong_iteration(X0),X0),strong_iteration(X0)),
inference(resolution,[],[f2885,f28]) ).
fof(f3028,plain,
! [X0] : strong_iteration(X0) = addition(strong_iteration(X0),multiplication(strong_iteration(X0),X0)),
inference(forward_demodulation,[],[f3022,f44]) ).
fof(f3029,plain,
! [X0] : strong_iteration(X0) = multiplication(strong_iteration(X0),addition(one,X0)),
inference(forward_demodulation,[],[f3028,f115]) ).
fof(f3059,plain,
! [X0] : strong_iteration(multiplication(X0,strong_iteration(X0))) = multiplication(strong_iteration(multiplication(X0,strong_iteration(X0))),strong_iteration(X0)),
inference(superposition,[],[f3029,f47]) ).
fof(f3128,plain,
! [X0] : star(strong_iteration(X0)) = multiplication(star(strong_iteration(X0)),strong_iteration(X0)),
inference(forward_demodulation,[],[f3059,f2243]) ).
fof(f3169,plain,
! [X0] : addition(strong_iteration(X0),star(strong_iteration(X0))) = multiplication(addition(one,star(strong_iteration(X0))),strong_iteration(X0)),
inference(superposition,[],[f88,f3128]) ).
fof(f3189,plain,
! [X0] : multiplication(star(strong_iteration(X0)),strong_iteration(X0)) = addition(strong_iteration(X0),star(strong_iteration(X0))),
inference(forward_demodulation,[],[f3169,f420]) ).
fof(f3197,plain,
! [X0] : strong_iteration(X0) = multiplication(star(strong_iteration(X0)),strong_iteration(X0)),
inference(forward_demodulation,[],[f3189,f2413]) ).
fof(f3204,plain,
! [X0] : strong_iteration(X0) = star(strong_iteration(X0)),
inference(superposition,[],[f3128,f3197]) ).
fof(f3281,plain,
! [X0] : strong_iteration(X0) = multiplication(strong_iteration(X0),strong_iteration(X0)),
inference(superposition,[],[f3128,f3204]) ).
fof(f3307,plain,
( ~ leq(strong_iteration(sK0),strong_iteration(sK0))
| spl1_2 ),
inference(superposition,[],[f55,f3281]) ).
fof(f3357,plain,
( $false
| spl1_2 ),
inference(forward_subsumption_resolution,[],[f3307,f109]) ).
fof(f3358,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f3357]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f56]) ).
cnf(s2,plain,
spl1_1,
inference(sat_conversion,[],[f204]) ).
cnf(s4,plain,
spl1_2,
inference(sat_conversion,[],[f3358]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s2]) ).
fof(f3374,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE143+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n004.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 13:11:52 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 8.71/2.10 % (3513313)Detected formulas, will run a generic FOF schedule.
% 8.71/2.10 % (3513324)dis-21_1_sil=8000:lcm=predicate:random_seed=2910385079: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)
% 8.71/2.10 % (3513324)Refutation not found, incomplete strategy
% 8.71/2.10 % (3513324)------------------------------
% 8.71/2.10 % (3513324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.10 % (3513324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.10 % (3513324)CaDiCaL version: 2.1.3
% 8.71/2.10 % (3513324)Termination reason: Refutation not found, incomplete strategy
% 8.71/2.10 % (3513324)Time elapsed: 0.001 s
% 8.71/2.10 % (3513324)Peak memory usage: 88 MB
% 8.71/2.10 % (3513324)Instructions burned: 1 (million)
% 8.71/2.10 % (3513318)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=659483772:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.71/2.10 % (3513320)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=1960284591:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.71/2.10 % (3513322)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=302872735:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.71/2.10 % (3513321)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=142873993:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.71/2.10 % (3513319)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=2706320221:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.71/2.10 % (3513323)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1644284791:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.71/2.10 % (3513321)Refutation not found, incomplete strategy
% 8.71/2.10 % (3513321)------------------------------
% 8.71/2.10 % (3513321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.10 % (3513321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.10 % (3513321)CaDiCaL version: 2.1.3
% 8.71/2.10 % (3513321)Termination reason: Refutation not found, incomplete strategy
% 8.71/2.10 % (3513321)Time elapsed: 0.001 s
% 8.71/2.10 % (3513321)Peak memory usage: 88 MB
% 8.71/2.10 % (3513322)Instruction limit reached!
% 8.71/2.10 % (3513322)------------------------------
% 8.71/2.10 % (3513322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.10 % (3513322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.10 % (3513322)CaDiCaL version: 2.1.3
% 8.71/2.10 % (3513322)Termination reason: Instruction limit
% 8.71/2.10 % (3513322)Termination phase: Saturation
% 8.71/2.10 % (3513322)Time elapsed: 0.072 s
% 8.71/2.10 % (3513322)Peak memory usage: 89 MB
% 8.71/2.10 % (3513322)Instructions burned: 119 (million)
% 8.71/2.10 % (3513323)Instruction limit reached!
% 8.71/2.10 % (3513323)------------------------------
% 8.71/2.10 % (3513323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.71/2.10 % (3513323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.71/2.10 % (3513323)CaDiCaL version: 2.1.3
% 8.71/2.10 % (3513323)Termination reason: Instruction limit
% 8.71/2.10 % (3513323)Termination phase: Saturation
% 8.71/2.10 % (3513323)Time elapsed: 0.084 s
% 8.71/2.10 % (3513323)Peak memory usage: 90 MB
% 8.71/2.10 % (3513323)Instructions burned: 140 (million)
% 8.71/2.10 % (3513324)------------------------------
% 8.71/2.10 % (3513324)------------------------------
% 8.71/2.10 % (3513335)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4125662599:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.71/2.10 % (3513333)lrs+10_1_sil=8000:sp=occurrence:random_seed=1557222608:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.71/2.10 % (3513334)lrs+10_1_sil=32000:urr=on:br=off:random_seed=349122327:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.71/2.10 % (3513321)------------------------------
% 8.71/2.10 % (3513321)------------------------------
% 8.71/2.10 % (3513335)Instruction limit reached!
% 8.71/2.10 % (3513335)------------------------------
% 8.71/2.10 % (3513335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.64/2.93 % (3513335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.64/2.93 % (3513335)CaDiCaL version: 2.1.3
% 13.64/2.93 % (3513335)Termination reason: Instruction limit
% 13.64/2.93 % (3513335)Termination phase: Saturation
% 13.64/2.93 % (3513335)Time elapsed: 0.112 s
% 13.64/2.93 % (3513335)Peak memory usage: 93 MB
% 13.64/2.93 % (3513335)Instructions burned: 327 (million)
% 13.64/2.93 % (3513334)Instruction limit reached!
% 13.64/2.93 % (3513334)------------------------------
% 13.64/2.93 % (3513334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.64/2.93 % (3513334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.64/2.93 % (3513334)CaDiCaL version: 2.1.3
% 13.64/2.93 % (3513334)Termination reason: Instruction limit
% 13.64/2.93 % (3513334)Termination phase: Saturation
% 13.64/2.93 % (3513334)Time elapsed: 0.099 s
% 13.64/2.93 % (3513334)Peak memory usage: 91 MB
% 13.64/2.93 % (3513334)Instructions burned: 158 (million)
% 13.64/2.93 % (3513339)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=2933690670:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 13.64/2.93 % (3513340)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2941418324:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 13.64/2.93 % (3513340)Refutation not found, incomplete strategy
% 13.64/2.93 % (3513340)------------------------------
% 13.64/2.93 % (3513340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.64/2.93 % (3513340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.64/2.93 % (3513340)CaDiCaL version: 2.1.3
% 13.64/2.93 % (3513340)Termination reason: Refutation not found, incomplete strategy
% 13.64/2.93 % (3513340)Time elapsed: 0.001 s
% 13.64/2.93 % (3513340)Peak memory usage: 88 MB
% 13.64/2.93 % (3513340)Instructions burned: 1 (million)
% 13.64/2.93 % (3513333)Instruction limit reached!
% 13.64/2.93 % (3513333)------------------------------
% 13.64/2.93 % (3513333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.64/2.93 % (3513333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.64/2.93 % (3513333)CaDiCaL version: 2.1.3
% 13.64/2.93 % (3513333)Termination reason: Instruction limit
% 13.64/2.93 % (3513333)Termination phase: Saturation
% 13.64/2.93 % (3513333)Time elapsed: 0.185 s
% 13.64/2.93 % (3513333)Peak memory usage: 91 MB
% 13.64/2.93 % (3513333)Instructions burned: 286 (million)
% 13.64/2.93 % (3513341)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3969222638:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 13.64/2.93 % (3513344)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1887056821:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 13.64/2.93 % (3513344)Refutation not found, incomplete strategy
% 13.64/2.93 % (3513344)------------------------------
% 13.64/2.93 % (3513344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.64/2.93 % (3513344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.64/2.93 % (3513344)CaDiCaL version: 2.1.3
% 13.64/2.93 % (3513344)Termination reason: Refutation not found, incomplete strategy
% 13.64/2.93 % (3513344)Time elapsed: 0.002 s
% 13.64/2.93 % (3513344)Peak memory usage: 88 MB
% 13.64/2.93 % (3513344)Instructions burned: 1 (million)
% 13.64/2.93 % (3513340)------------------------------
% 13.64/2.93 % (3513340)------------------------------
% 13.64/2.93 % (3513339)Instruction limit reached!
% 13.64/2.93 % (3513339)------------------------------
% 13.64/2.93 % (3513339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.64/2.93 % (3513339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.64/2.93 % (3513339)CaDiCaL version: 2.1.3
% 13.64/2.93 % (3513339)Termination reason: Instruction limit
% 13.64/2.93 % (3513339)Termination phase: Saturation
% 13.64/2.93 % (3513339)Time elapsed: 0.164 s
% 13.64/2.93 % (3513339)Peak memory usage: 92 MB
% 13.64/2.93 % (3513339)Instructions burned: 248 (million)
% 13.64/2.93 % (3513320)Refutation not found, incomplete strategy
% 13.64/2.93 % (3513320)------------------------------
% 13.64/2.93 % (3513320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.64/2.93 % (3513320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.64/2.93 % (3513320)CaDiCaL version: 2.1.3
% 13.64/2.93 % (3513320)Termination reason: Refutation not found, incomplete strategy
% 9.74/3.03 % (3513320)Time elapsed: 0.604 s
% 9.74/3.03 % (3513320)Peak memory usage: 128 MB
% 9.74/3.03 % (3513320)Instructions burned: 900 (million)
% 9.74/3.03 % (3513347)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4218281158:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 9.74/3.03 % (3513347)Refutation not found, incomplete strategy
% 9.74/3.03 % (3513347)------------------------------
% 9.74/3.03 % (3513347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.03 % (3513347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.03 % (3513347)CaDiCaL version: 2.1.3
% 9.74/3.03 % (3513347)Termination reason: Refutation not found, incomplete strategy
% 9.74/3.03 % (3513347)Time elapsed: 0.0000 s
% 9.74/3.03 % (3513347)Peak memory usage: 88 MB
% 9.74/3.03 % (3513348)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4056587441:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 9.74/3.03 % (3513348)Refutation not found, incomplete strategy
% 9.74/3.03 % (3513348)------------------------------
% 9.74/3.03 % (3513348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.03 % (3513348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.03 % (3513348)CaDiCaL version: 2.1.3
% 9.74/3.03 % (3513348)Termination reason: Refutation not found, incomplete strategy
% 9.74/3.03 % (3513348)Time elapsed: 0.002 s
% 9.74/3.03 % (3513348)Peak memory usage: 88 MB
% 9.74/3.03 % (3513348)Instructions burned: 1 (million)
% 9.74/3.03 % (3513344)------------------------------
% 9.74/3.03 % (3513344)------------------------------
% 9.74/3.03 % (3513347)------------------------------
% 9.74/3.03 % (3513347)------------------------------
% 9.74/3.03 % (3513320)------------------------------
% 9.74/3.03 % (3513320)------------------------------
% 9.74/3.03 % (3513352)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4075661300:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 9.74/3.03 % (3513352)Refutation not found, incomplete strategy
% 9.74/3.03 % (3513352)------------------------------
% 9.74/3.03 % (3513352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.03 % (3513352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.03 % (3513352)CaDiCaL version: 2.1.3
% 9.74/3.03 % (3513352)Termination reason: Refutation not found, incomplete strategy
% 9.74/3.03 % (3513352)Time elapsed: 0.001 s
% 9.74/3.03 % (3513352)Peak memory usage: 88 MB
% 9.74/3.03 % (3513351)lrs+10_1_sil=8000:sp=occurrence:random_seed=1070455488:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 9.74/3.03 % (3513348)------------------------------
% 9.74/3.03 % (3513348)------------------------------
% 9.74/3.03 % (3513353)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2411151477:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 9.74/3.03 % (3513352)------------------------------
% 9.74/3.03 % (3513352)------------------------------
% 9.74/3.03 % (3513356)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1484278039:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 9.74/3.03 % (3513356)Refutation not found, incomplete strategy
% 9.74/3.03 % (3513356)------------------------------
% 9.74/3.03 % (3513356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.03 % (3513356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.03 % (3513356)CaDiCaL version: 2.1.3
% 9.74/3.03 % (3513356)Termination reason: Refutation not found, incomplete strategy
% 9.74/3.03 % (3513356)Time elapsed: 0.002 s
% 9.74/3.03 % (3513356)Peak memory usage: 89 MB
% 9.74/3.03 % (3513356)Instructions burned: 1 (million)
% 9.74/3.03 % (3513358)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3067605969:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 9.74/3.03 % (3513358)Refutation not found, incomplete strategy
% 9.74/3.03 % (3513358)------------------------------
% 9.74/3.03 % (3513358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.03 % (3513358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.03 % (3513358)CaDiCaL version: 2.1.3
% 9.74/3.03 % (3513358)Termination reason: Refutation not found, incomplete strategy
% 9.74/3.03 % (3513358)Time elapsed: 0.001 s
% 9.74/3.03 % (3513358)Peak memory usage: 88 MB
% 9.74/3.03 % (3513358)Instructions burned: 1 (million)
% 9.74/3.03 % (3513358)------------------------------
% 9.74/3.03 % (3513358)------------------------------
% 9.74/3.03 % (3513356)------------------------------
% 9.74/3.03 % (3513356)------------------------------
% 9.74/3.03 % (3513361)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3709710103:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 9.74/3.03 % (3513362)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=914114501:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 9.74/3.03 % (3513351)Instruction limit reached!
% 9.74/3.03 % (3513351)------------------------------
% 9.74/3.03 % (3513351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.03 % (3513351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.03 % (3513351)CaDiCaL version: 2.1.3
% 9.74/3.03 % (3513351)Termination reason: Instruction limit
% 9.74/3.03 % (3513351)Termination phase: Saturation
% 9.74/3.03 % (3513351)Time elapsed: 0.571 s
% 9.74/3.03 % (3513351)Peak memory usage: 97 MB
% 9.74/3.03 % (3513351)Instructions burned: 907 (million)
% 9.74/3.03 % (3513362)Instruction limit reached!
% 9.74/3.03 % (3513362)------------------------------
% 9.74/3.03 % (3513362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.03 % (3513362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.03 % (3513362)CaDiCaL version: 2.1.3
% 9.74/3.03 % (3513362)Termination reason: Instruction limit
% 9.74/3.03 % (3513362)Termination phase: Saturation
% 9.74/3.03 % (3513362)Time elapsed: 0.080 s
% 9.74/3.03 % (3513362)Peak memory usage: 90 MB
% 9.74/3.03 % (3513362)Instructions burned: 126 (million)
% 9.74/3.03 % (3513365)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2772909987:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 9.74/3.03 % (3513366)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1067423692:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/141Mi)
% 9.74/3.03 % (3513366)Refutation not found, incomplete strategy
% 9.74/3.03 % (3513366)------------------------------
% 9.74/3.03 % (3513366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.03 % (3513366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.03 % (3513366)CaDiCaL version: 2.1.3
% 9.74/3.03 % (3513366)Termination reason: Refutation not found, incomplete strategy
% 9.74/3.03 % (3513366)Time elapsed: 0.001 s
% 9.74/3.03 % (3513366)Peak memory usage: 88 MB
% 9.74/3.03 % (3513365)Instruction limit reached!
% 9.74/3.03 % (3513365)------------------------------
% 9.74/3.03 % (3513365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.03 % (3513365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.03 % (3513365)CaDiCaL version: 2.1.3
% 9.74/3.03 % (3513365)Termination reason: Instruction limit
% 9.74/3.03 % (3513365)Termination phase: Saturation
% 9.74/3.03 % (3513365)Time elapsed: 0.075 s
% 9.74/3.03 % (3513365)Peak memory usage: 89 MB
% 9.74/3.03 % (3513365)Instructions burned: 135 (million)
% 9.74/3.03 % (3513369)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2876700012:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2981 on theBenchmark for (2981ds/431Mi)
% 9.74/3.03 % (3513369)Refutation not found, incomplete strategy
% 9.74/3.03 % (3513369)------------------------------
% 9.74/3.03 % (3513369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.03 % (3513369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.03 % (3513369)CaDiCaL version: 2.1.3
% 9.74/3.03 % (3513369)Termination reason: Refutation not found, incomplete strategy
% 9.74/3.03 % (3513369)Time elapsed: 0.001 s
% 9.74/3.03 % (3513369)Peak memory usage: 88 MB
% 9.74/3.03 % (3513361)First to succeed.
% 9.74/3.03 % (3513361)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3513313"
% 9.74/3.03 % (3513366)------------------------------
% 9.74/3.03 % (3513366)------------------------------
% 9.74/3.03 % (3513341)Instruction limit reached!
% 9.74/3.03 % (3513341)------------------------------
% 9.74/3.03 % (3513341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.03 % (3513341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.03 % (3513341)CaDiCaL version: 2.1.3
% 9.74/3.03 % (3513341)Termination reason: Instruction limit
% 9.74/3.03 % (3513341)Termination phase: Saturation
% 9.74/3.03 % (3513341)Time elapsed: 1.463 s
% 9.74/3.03 % (3513341)Peak memory usage: 143 MB
% 9.74/3.03 % (3513341)Instructions burned: 2350 (million)
% 9.74/3.03 % (3513361)Refutation found. Thanks to Tanya!
% 9.74/3.03 % SZS status Theorem for theBenchmark
% 9.74/3.03 % SZS output start Proof for theBenchmark
% See solution above
% 9.74/3.12 % (3513361)------------------------------
% 9.74/3.12 % (3513361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/3.12 % (3513361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/3.12 % (3513361)CaDiCaL version: 2.1.3
% 9.74/3.12 % (3513361)Termination reason: Refutation
% 9.74/3.12 % (3513361)Time elapsed: 0.527 s
% 9.74/3.12 % (3513361)Peak memory usage: 135 MB
% 9.74/3.12 % (3513361)Instructions burned: 1504 (million)
% 9.74/3.12 % (3513361)------------------------------
% 9.74/3.12 % (3513361)------------------------------
% 9.74/3.12 % (3513313)Success in time 2.175 s
% 9.74/3.12 % Vampire exiting
%------------------------------------------------------------------------------