%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE044+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 11:40:45 AM UTC 2026
% Result : Theorem 95.63s 14.02s
% Output : Refutation 95.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 16
% Syntax : Number of formulae : 149 ( 63 unt; 2 def)
% Number of atoms : 241 ( 86 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 186 ( 94 ~; 87 |; 1 &)
% ( 3 <=>; 1 =>; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 197 ( 0 sgn 196 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',additive_idempotence) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',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/Axioms/KLE002+0.ax',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',left_distributivity) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',left_annihilation) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_unfold_right) ).
fof(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_unfold_left) ).
fof(f15,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X1)
=> leq(multiplication(star(X0),X2),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_induction_left) ).
fof(f17,conjecture,
! [X0] : star(addition(one,X0)) = star(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] : star(addition(one,X0)) = star(X0),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f21,plain,
? [X0] : star(X0) != star(addition(one,X0)),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f23,plain,
star(sK0) != star(addition(one,sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f21]) ).
fof(f24,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f25,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f27,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f29,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f30,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f32,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f35,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f36,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f37,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f38,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f41,plain,
star(sK0) != star(addition(one,sK0)),
inference(cnf_transformation,[],[f23]) ).
fof(f42,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f24,f26]) ).
fof(f51,plain,
! [X0] : leq(X0,X0),
inference(unit_resulting_resolution,[],[f36,f27]) ).
fof(f92,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f37,f35]) ).
fof(f94,plain,
leq(addition(one,zero),star(zero)),
inference(superposition,[],[f37,f34]) ).
fof(f97,plain,
leq(one,star(zero)),
inference(forward_demodulation,[],[f94,f26]) ).
fof(f98,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f92,f24]) ).
fof(f101,plain,
star(zero) = addition(one,star(zero)),
inference(resolution,[],[f97,f35]) ).
fof(f102,plain,
star(zero) = addition(star(zero),one),
inference(forward_demodulation,[],[f101,f24]) ).
fof(f113,definition,
( spl1_1
<=> leq(star(zero),one) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f115,plain,
( leq(star(zero),one)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f117,definition,
( spl1_2
<=> one = star(zero) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f118,plain,
( one = star(zero)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f119,plain,
( one != star(zero)
| spl1_2 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f122,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(resolution,[],[f38,f35]) ).
fof(f128,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(star(X0),X0))),
inference(forward_demodulation,[],[f122,f24]) ).
fof(f155,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f25,f27]) ).
fof(f164,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X2,X0)),
inference(superposition,[],[f25,f24]) ).
fof(f175,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(unit_resulting_resolution,[],[f36,f155]) ).
fof(f177,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,addition(X0,X1)),
inference(superposition,[],[f155,f24]) ).
fof(f198,plain,
! [X0,X1] : leq(X1,addition(X0,X1)),
inference(superposition,[],[f175,f24]) ).
fof(f202,plain,
! [X2,X0,X1] : leq(addition(X0,X1),addition(X0,addition(X1,X2))),
inference(superposition,[],[f175,f25]) ).
fof(f213,plain,
! [X2,X0,X1] : leq(X2,addition(X0,addition(X1,X2))),
inference(superposition,[],[f198,f25]) ).
fof(f433,plain,
! [X2,X0,X1] : leq(addition(X0,X1),addition(X1,addition(X0,X2))),
inference(superposition,[],[f202,f24]) ).
fof(f444,plain,
! [X2,X0,X1] : leq(addition(X2,X1),addition(X2,addition(X0,X1))),
inference(superposition,[],[f202,f24]) ).
fof(f1057,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(superposition,[],[f31,f29]) ).
fof(f1072,plain,
! [X2,X0,X1] : leq(multiplication(X0,X1),multiplication(X0,addition(X1,X2))),
inference(superposition,[],[f175,f31]) ).
fof(f1078,plain,
! [X2,X3,X0,X1] : leq(multiplication(X0,X2),addition(X3,multiplication(X0,addition(X1,X2)))),
inference(superposition,[],[f213,f31]) ).
fof(f1103,plain,
! [X0,X1] : addition(X0,multiplication(X0,X1)) = multiplication(X0,addition(X1,one)),
inference(forward_demodulation,[],[f1057,f24]) ).
fof(f1819,plain,
! [X2,X3,X0,X1] : leq(multiplication(X3,X1),multiplication(X3,addition(X0,addition(X1,X2)))),
inference(superposition,[],[f1072,f164]) ).
fof(f2794,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f32,f30]) ).
fof(f2819,plain,
! [X2,X0,X1] : leq(multiplication(X0,X2),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f175,f32]) ).
fof(f2905,plain,
! [X2,X3,X0,X1] : leq(multiplication(X1,X3),multiplication(addition(X0,addition(X1,X2)),X3)),
inference(superposition,[],[f2819,f164]) ).
fof(f3409,plain,
! [X0,X1] :
( ~ leq(addition(zero,X1),X0)
| leq(multiplication(star(zero),X1),X0) ),
inference(superposition,[],[f39,f34]) ).
fof(f3414,plain,
! [X0,X1] :
( leq(multiplication(star(X0),multiplication(X0,X1)),X1)
| ~ leq(multiplication(X0,X1),X1) ),
inference(superposition,[],[f39,f27]) ).
fof(f3416,plain,
! [X2,X0,X1] :
( ~ leq(addition(X0,multiplication(X1,X2)),X2)
| leq(multiplication(star(X1),X0),X2) ),
inference(superposition,[],[f39,f24]) ).
fof(f3429,plain,
! [X0,X1] :
( leq(multiplication(star(zero),X1),X0)
| ~ leq(X1,X0) ),
inference(forward_demodulation,[],[f3409,f42]) ).
fof(f3435,plain,
! [X0] : leq(multiplication(star(zero),X0),X0),
inference(unit_resulting_resolution,[],[f3429,f51]) ).
fof(f3562,plain,
leq(star(zero),one),
inference(superposition,[],[f3435,f29]) ).
fof(f3567,plain,
spl1_1,
inference(avatar_split_clause,[],[f3562,f113]) ).
fof(f3569,plain,
( one = addition(star(zero),one)
| ~ spl1_1 ),
inference(unit_resulting_resolution,[],[f35,f115]) ).
fof(f3572,plain,
( one = star(zero)
| ~ spl1_1 ),
inference(forward_demodulation,[],[f3569,f102]) ).
fof(f3575,plain,
( $false
| ~ spl1_1
| spl1_2 ),
inference(forward_subsumption_resolution,[],[f3572,f119]) ).
fof(f3576,plain,
( ~ spl1_1
| spl1_2 ),
inference(avatar_contradiction_clause,[],[f3575]) ).
fof(f3579,plain,
( ! [X0] : multiplication(X0,star(zero)) = X0
| ~ spl1_2 ),
inference(superposition,[],[f29,f118]) ).
fof(f3580,plain,
( ! [X0] : multiplication(star(zero),X0) = X0
| ~ spl1_2 ),
inference(superposition,[],[f30,f118]) ).
fof(f3583,plain,
( star(sK0) != star(addition(star(zero),sK0))
| ~ spl1_2 ),
inference(superposition,[],[f41,f118]) ).
fof(f4516,plain,
( ! [X0,X1] : addition(X0,multiplication(X0,X1)) = multiplication(X0,addition(X1,star(zero)))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f1103,f118]) ).
fof(f4928,plain,
( ! [X0,X1] : addition(X0,multiplication(X1,X0)) = multiplication(addition(star(zero),X1),X0)
| ~ spl1_2 ),
inference(forward_demodulation,[],[f2794,f118]) ).
fof(f8215,plain,
( ! [X0] : star(X0) = addition(star(X0),addition(star(zero),multiplication(X0,star(X0))))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f98,f118]) ).
fof(f17082,plain,
( ! [X0] : star(X0) = addition(star(X0),addition(star(zero),multiplication(star(X0),X0)))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f128,f118]) ).
fof(f20384,plain,
( ! [X0,X1] : multiplication(X1,addition(star(zero),X0)) = addition(X1,multiplication(X1,X0))
| ~ spl1_2 ),
inference(superposition,[],[f4516,f24]) ).
fof(f35419,plain,
( ! [X0,X1] :
( ~ leq(multiplication(addition(star(zero),X0),X1),X1)
| leq(multiplication(star(X0),X1),X1) )
| ~ spl1_2 ),
inference(superposition,[],[f3416,f4928]) ).
fof(f40615,plain,
( ! [X0] : leq(addition(star(X0),star(zero)),star(X0))
| ~ spl1_2 ),
inference(superposition,[],[f202,f8215]) ).
fof(f40616,plain,
( ! [X0] : leq(multiplication(X0,star(X0)),star(X0))
| ~ spl1_2 ),
inference(superposition,[],[f213,f8215]) ).
fof(f40620,plain,
( ! [X0] : leq(addition(star(zero),star(X0)),star(X0))
| ~ spl1_2 ),
inference(superposition,[],[f433,f8215]) ).
fof(f40621,plain,
( ! [X0] : leq(addition(star(X0),multiplication(X0,star(X0))),star(X0))
| ~ spl1_2 ),
inference(superposition,[],[f444,f8215]) ).
fof(f40645,plain,
( ! [X0,X1] : leq(multiplication(X1,star(zero)),multiplication(X1,star(X0)))
| ~ spl1_2 ),
inference(superposition,[],[f1819,f8215]) ).
fof(f40648,plain,
( ! [X0,X1] : leq(multiplication(star(zero),X1),multiplication(star(X0),X1))
| ~ spl1_2 ),
inference(superposition,[],[f2905,f8215]) ).
fof(f40889,plain,
( ! [X0,X1] : leq(X1,multiplication(star(X0),X1))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f40648,f3580]) ).
fof(f40890,plain,
( ! [X0,X1] : leq(X1,multiplication(X1,star(X0)))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f40645,f3579]) ).
fof(f41061,plain,
( ! [X0,X1] : multiplication(star(X0),X1) = addition(X1,multiplication(star(X0),X1))
| ~ spl1_2 ),
inference(unit_resulting_resolution,[],[f35,f40889]) ).
fof(f41083,plain,
( ! [X0,X1] : multiplication(X0,star(X1)) = addition(X0,multiplication(X0,star(X1)))
| ~ spl1_2 ),
inference(unit_resulting_resolution,[],[f35,f40890]) ).
fof(f41107,plain,
( ! [X0] : star(X0) = addition(multiplication(X0,star(X0)),star(X0))
| ~ spl1_2 ),
inference(resolution,[],[f40616,f35]) ).
fof(f41117,plain,
( ! [X0] : star(X0) = addition(star(X0),multiplication(X0,star(X0)))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f41107,f24]) ).
fof(f41208,plain,
( ! [X0] : star(X0) = addition(addition(star(X0),star(zero)),star(X0))
| ~ spl1_2 ),
inference(resolution,[],[f40615,f35]) ).
fof(f41216,plain,
( ! [X0] : star(X0) = addition(star(X0),addition(star(X0),star(zero)))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f41208,f24]) ).
fof(f41225,plain,
( ! [X0] : star(X0) = addition(star(X0),star(zero))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f41216,f155]) ).
fof(f41243,plain,
( ! [X0] : star(X0) = addition(addition(star(zero),star(X0)),star(X0))
| ~ spl1_2 ),
inference(resolution,[],[f40620,f35]) ).
fof(f41252,plain,
( ! [X0] : star(X0) = addition(star(X0),addition(star(zero),star(X0)))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f41243,f24]) ).
fof(f41259,plain,
( ! [X0] : star(X0) = addition(star(zero),star(X0))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f41252,f177]) ).
fof(f41434,plain,
( ! [X2,X0,X1] : leq(multiplication(X1,star(zero)),addition(X2,multiplication(X1,star(X0))))
| ~ spl1_2 ),
inference(superposition,[],[f1078,f41225]) ).
fof(f41607,plain,
( ! [X2,X0,X1] : leq(X1,addition(X2,multiplication(X1,star(X0))))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f41434,f3579]) ).
fof(f43143,plain,
( ! [X0] : leq(multiplication(star(X0),X0),star(X0))
| ~ spl1_2 ),
inference(superposition,[],[f213,f17082]) ).
fof(f43580,plain,
( ! [X0] : star(X0) = addition(multiplication(star(X0),X0),star(X0))
| ~ spl1_2 ),
inference(resolution,[],[f43143,f35]) ).
fof(f43589,plain,
( ! [X0] : star(X0) = addition(star(X0),multiplication(star(X0),X0))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f43580,f24]) ).
fof(f44245,plain,
( ! [X0] : leq(multiplication(star(X0),star(X0)),star(X0))
| ~ spl1_2 ),
inference(unit_resulting_resolution,[],[f3416,f40621]) ).
fof(f44307,plain,
( ! [X0] : star(X0) = addition(multiplication(star(X0),star(X0)),star(X0))
| ~ spl1_2 ),
inference(resolution,[],[f44245,f35]) ).
fof(f44312,plain,
( ! [X0] : star(X0) = addition(star(X0),multiplication(star(X0),star(X0)))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f44307,f24]) ).
fof(f44934,plain,
( ! [X0] : star(X0) = multiplication(addition(star(zero),X0),star(X0))
| ~ spl1_2 ),
inference(superposition,[],[f41117,f4928]) ).
fof(f45014,plain,
( ! [X0] : leq(X0,star(X0))
| ~ spl1_2 ),
inference(superposition,[],[f41607,f41117]) ).
fof(f45334,plain,
( ! [X0] : star(X0) = addition(X0,star(X0))
| ~ spl1_2 ),
inference(unit_resulting_resolution,[],[f35,f45014]) ).
fof(f51235,plain,
( ! [X0] : star(X0) = multiplication(star(X0),addition(star(zero),X0))
| ~ spl1_2 ),
inference(superposition,[],[f43589,f20384]) ).
fof(f51350,plain,
( ! [X0,X1] : leq(multiplication(star(addition(X0,X1)),X1),star(addition(X0,X1)))
| ~ spl1_2 ),
inference(superposition,[],[f1078,f43589]) ).
fof(f55161,plain,
( ! [X0] :
( leq(multiplication(star(addition(star(zero),X0)),star(X0)),star(X0))
| ~ leq(star(X0),star(X0)) )
| ~ spl1_2 ),
inference(superposition,[],[f3414,f44934]) ).
fof(f55215,plain,
( ! [X0] : leq(multiplication(star(addition(star(zero),X0)),star(X0)),star(X0))
| ~ spl1_2 ),
inference(forward_subsumption_resolution,[],[f55161,f51]) ).
fof(f55314,plain,
( ! [X0] : star(star(X0)) = multiplication(star(star(X0)),star(X0))
| ~ spl1_2 ),
inference(superposition,[],[f51235,f41259]) ).
fof(f98134,plain,
( ! [X0] : star(X0) = multiplication(star(X0),star(X0))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f44312,f41083]) ).
fof(f98365,plain,
( ! [X0] :
( leq(multiplication(star(star(X0)),star(X0)),star(X0))
| ~ leq(star(X0),star(X0)) )
| ~ spl1_2 ),
inference(superposition,[],[f3414,f98134]) ).
fof(f98453,plain,
( ! [X0] : leq(multiplication(star(star(X0)),star(X0)),star(X0))
| ~ spl1_2 ),
inference(forward_subsumption_resolution,[],[f98365,f51]) ).
fof(f98479,plain,
( ! [X0] : leq(star(star(X0)),star(X0))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f98453,f55314]) ).
fof(f98494,plain,
( ! [X0] : star(X0) = addition(star(star(X0)),star(X0))
| ~ spl1_2 ),
inference(resolution,[],[f98479,f35]) ).
fof(f98497,plain,
( ! [X0] : star(X0) = addition(star(X0),star(star(X0)))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f98494,f24]) ).
fof(f98503,plain,
( ! [X0] : star(X0) = star(star(X0))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f98497,f45334]) ).
fof(f106040,plain,
( ! [X0] : star(X0) = addition(multiplication(star(addition(star(zero),X0)),star(X0)),star(X0))
| ~ spl1_2 ),
inference(resolution,[],[f55215,f35]) ).
fof(f106104,plain,
( ! [X0] : star(X0) = addition(star(X0),multiplication(star(addition(star(zero),X0)),star(X0)))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f106040,f24]) ).
fof(f106121,plain,
( ! [X0] : star(X0) = multiplication(star(addition(star(zero),X0)),star(X0))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f106104,f41061]) ).
fof(f124165,plain,
( ! [X0] : star(X0) = addition(star(addition(star(zero),X0)),star(X0))
| ~ spl1_2 ),
inference(superposition,[],[f41083,f106121]) ).
fof(f124388,plain,
( ! [X0] : star(X0) = addition(star(X0),star(addition(star(zero),X0)))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f124165,f24]) ).
fof(f155200,plain,
( ! [X0] : leq(multiplication(star(star(X0)),star(addition(star(zero),X0))),star(star(X0)))
| ~ spl1_2 ),
inference(superposition,[],[f51350,f124388]) ).
fof(f155375,plain,
( ! [X0] : leq(multiplication(star(X0),star(addition(star(zero),X0))),star(X0))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f155200,f98503]) ).
fof(f171709,plain,
( ! [X0] : star(X0) = addition(multiplication(star(X0),star(addition(star(zero),X0))),star(X0))
| ~ spl1_2 ),
inference(resolution,[],[f155375,f35]) ).
fof(f171779,plain,
( ! [X0] : star(X0) = addition(star(X0),multiplication(star(X0),star(addition(star(zero),X0))))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f171709,f24]) ).
fof(f171792,plain,
( ! [X0] : star(X0) = multiplication(star(X0),star(addition(star(zero),X0)))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f171779,f41083]) ).
fof(f203825,plain,
( ! [X0] : leq(multiplication(star(X0),star(addition(star(zero),X0))),star(addition(star(zero),X0)))
| ~ spl1_2 ),
inference(resolution,[],[f35419,f40616]) ).
fof(f203945,plain,
( ! [X0] : leq(star(X0),star(addition(star(zero),X0)))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f203825,f171792]) ).
fof(f204021,plain,
( ! [X0] : star(addition(star(zero),X0)) = addition(star(X0),star(addition(star(zero),X0)))
| ~ spl1_2 ),
inference(resolution,[],[f203945,f35]) ).
fof(f204098,plain,
( ! [X0] : star(X0) = star(addition(star(zero),X0))
| ~ spl1_2 ),
inference(forward_demodulation,[],[f204021,f124388]) ).
fof(f204165,plain,
( $false
| ~ spl1_2 ),
inference(unit_resulting_resolution,[],[f204098,f3583]) ).
fof(f205643,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f204165]) ).
cnf(s3,plain,
spl1_1,
inference(sat_conversion,[],[f3567]) ).
cnf(s5,plain,
( ~ spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f3576]) ).
cnf(s12,plain,
~ spl1_2,
inference(sat_conversion,[],[f205643]) ).
cnf(s13,plain,
~ spl1_1,
inference(rat,[],[s5,s12]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s3,s13]) ).
fof(f206330,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE044+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 13:07:00 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.17/2.75 % (2020286)Will run a generic schedule for satisfiability detection.
% 16.17/2.75 % (2020291)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3758399592_2999 on theBenchmark for (2999ds/0Mi)
% 16.17/2.75 % TRYING [1]
% 16.17/2.75 % TRYING [2]
% 16.17/2.75 % TRYING [3]
% 16.17/2.75 % (2020292)% WARNING: option uhcvi not known.
% 16.17/2.75 % TRYING [4]
% 16.17/2.75 % (2020293)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2285928010:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.17/2.75 % (2020294)dis+10_1_sil=32000:sp=arity:random_seed=3706757942:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.17/2.75 % (2020295)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2916981886:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.17/2.75 % (2020296)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1974733327:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.17/2.75 % (2020297)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3727465001:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.17/2.75 % (2020292)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1213050760:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.17/2.75 % TRYING [5]
% 16.17/2.75 % TRYING [6]
% 16.17/2.75 % (2020294)Instruction limit reached!
% 16.17/2.75 % (2020294)------------------------------
% 16.17/2.75 % (2020294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.17/2.75 % (2020294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/2.75 % (2020294)CaDiCaL version: 2.1.3
% 16.17/2.75 % (2020294)Termination reason: Instruction limit
% 16.17/2.75 % (2020294)Termination phase: Saturation
% 16.17/2.75 % (2020294)Time elapsed: 0.063 s
% 16.17/2.75 % (2020294)Peak memory usage: 12 MB
% 16.17/2.75 % (2020294)Instructions burned: 103 (million)
% 16.17/2.75 % (2020295)Instruction limit reached!
% 16.17/2.75 % (2020295)------------------------------
% 16.17/2.75 % (2020295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.17/2.75 % (2020295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/2.75 % (2020295)CaDiCaL version: 2.1.3
% 16.17/2.75 % (2020295)Termination reason: Instruction limit
% 16.17/2.75 % (2020295)Termination phase: Saturation
% 16.17/2.75 % (2020295)Time elapsed: 0.073 s
% 16.17/2.75 % (2020295)Peak memory usage: 13 MB
% 16.17/2.75 % (2020295)Instructions burned: 117 (million)
% 16.17/2.75 % (2020296)Instruction limit reached!
% 16.17/2.75 % (2020296)------------------------------
% 16.17/2.75 % (2020296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.17/2.75 % (2020296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/2.75 % (2020296)CaDiCaL version: 2.1.3
% 16.17/2.75 % (2020296)Termination reason: Instruction limit
% 16.17/2.75 % (2020296)Termination phase: Saturation
% 16.17/2.75 % (2020296)Time elapsed: 0.076 s
% 16.17/2.75 % (2020296)Peak memory usage: 13 MB
% 16.17/2.75 % (2020296)Instructions burned: 131 (million)
% 16.17/2.75 % (2020305)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=874941625:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.17/2.75 % TRYING [1]
% 16.17/2.75 % TRYING [2]
% 16.17/2.75 % TRYING [3]
% 16.17/2.75 % TRYING [4]
% 16.17/2.75 % (2020306)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2935434333:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.17/2.75 % (2020307)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=449264596:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.17/2.75 % (2020297)Instruction limit reached!
% 16.17/2.75 % (2020297)------------------------------
% 16.17/2.75 % (2020297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.17/2.75 % (2020297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/2.75 % (2020297)CaDiCaL version: 2.1.3
% 16.17/2.75 % (2020297)Termination reason: Instruction limit
% 16.17/2.75 % (2020297)Termination phase: Saturation
% 16.17/2.75 % (2020297)Time elapsed: 0.100 s
% 16.17/2.75 % (2020297)Peak memory usage: 13 MB
% 16.17/2.75 % (2020297)Instructions burned: 160 (million)
% 16.17/2.75 % TRYING [7]
% 16.17/2.75 % TRYING [5]
% 16.17/2.75 % (2020311)ott-21_1_sil=16000:fs=off:random_seed=2974878358:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.17/2.75 % TRYING [6]
% 16.17/2.75 % (2020306)Instruction limit reached!
% 16.17/2.75 % (2020306)------------------------------
% 16.17/2.75 % (2020306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.79/7.35 % (2020306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.79/7.35 % (2020306)CaDiCaL version: 2.1.3
% 48.79/7.35 % (2020306)Termination reason: Instruction limit
% 48.79/7.35 % (2020306)Termination phase: Saturation
% 48.79/7.35 % (2020306)Time elapsed: 0.089 s
% 48.79/7.35 % (2020306)Peak memory usage: 13 MB
% 48.79/7.35 % (2020306)Instructions burned: 131 (million)
% 48.79/7.35 % (2020311)Instruction limit reached!
% 48.79/7.35 % (2020311)------------------------------
% 48.79/7.35 % (2020311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.79/7.35 % (2020311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.79/7.35 % (2020311)CaDiCaL version: 2.1.3
% 48.79/7.35 % (2020311)Termination reason: Instruction limit
% 48.79/7.35 % (2020311)Termination phase: Saturation
% 48.79/7.35 % (2020311)Time elapsed: 0.074 s
% 48.79/7.35 % (2020311)Peak memory usage: 12 MB
% 48.79/7.35 % (2020311)Instructions burned: 180 (million)
% 48.79/7.35 % (2020313)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4208705220:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 48.79/7.35 % (2020314)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3980415061:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 48.79/7.35 % TRYING [1]
% 48.79/7.35 % TRYING [2]
% 48.79/7.35 % TRYING [3]
% 48.79/7.35 % TRYING [4]
% 48.79/7.35 % TRYING [5]
% 48.79/7.35 % TRYING [8]
% 48.79/7.35 % TRYING [6]
% 48.79/7.35 % (2020305)Instruction limit reached!
% 48.79/7.35 % (2020305)------------------------------
% 48.79/7.35 % (2020305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.79/7.35 % (2020305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.79/7.35 % (2020305)CaDiCaL version: 2.1.3
% 48.79/7.35 % (2020305)Termination reason: Instruction limit
% 48.79/7.35 % (2020305)Termination phase: Finite model building SAT solving
% 48.79/7.35 % (2020305)Time elapsed: 0.332 s
% 48.79/7.35 % (2020305)Peak memory usage: 31 MB
% 48.79/7.35 % (2020305)Instructions burned: 715 (million)
% 48.79/7.35 % (2020317)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1012635788:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 48.79/7.35 % (2020307)Instruction limit reached!
% 48.79/7.35 % (2020307)------------------------------
% 48.79/7.35 % (2020307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.79/7.35 % (2020307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.79/7.35 % (2020307)CaDiCaL version: 2.1.3
% 48.79/7.35 % (2020307)Termination reason: Instruction limit
% 48.79/7.35 % (2020307)Termination phase: Saturation
% 48.79/7.35 % (2020307)Time elapsed: 0.357 s
% 48.79/7.35 % (2020307)Peak memory usage: 19 MB
% 48.79/7.35 % (2020307)Instructions burned: 685 (million)
% 48.79/7.35 % (2020319)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3932776629:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 48.79/7.35 % (2020313)Instruction limit reached!
% 48.79/7.35 % (2020313)------------------------------
% 48.79/7.35 % (2020313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.79/7.35 % (2020313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.79/7.35 % (2020313)CaDiCaL version: 2.1.3
% 48.79/7.35 % (2020313)Termination reason: Instruction limit
% 48.79/7.35 % (2020313)Termination phase: Saturation
% 48.79/7.35 % (2020313)Time elapsed: 0.302 s
% 48.79/7.35 % (2020313)Peak memory usage: 14 MB
% 48.79/7.35 % (2020313)Instructions burned: 478 (million)
% 48.79/7.35 % (2020321)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2983564695:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 48.79/7.35 % (2020314)Instruction limit reached!
% 48.79/7.35 % (2020314)------------------------------
% 48.79/7.35 % (2020314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.79/7.35 % (2020314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.79/7.35 % (2020314)CaDiCaL version: 2.1.3
% 48.79/7.35 % (2020314)Termination reason: Instruction limit
% 48.79/7.35 % (2020314)Termination phase: Finite model building SAT solving
% 48.79/7.35 % (2020314)Time elapsed: 0.349 s
% 48.79/7.35 % (2020314)Peak memory usage: 25 MB
% 48.79/7.35 % (2020314)Instructions burned: 866 (million)
% 48.79/7.35 % (2020323)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2028141291:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 95.63/14.02 % TRYING [14]
% 95.63/14.02 % TRYING [9]
% 95.63/14.02 % (2020319)Instruction limit reached!
% 95.63/14.02 % (2020319)------------------------------
% 95.63/14.02 % (2020319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.63/14.02 % (2020319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.63/14.02 % (2020319)CaDiCaL version: 2.1.3
% 95.63/14.02 % (2020319)Termination reason: Instruction limit
% 95.63/14.02 % (2020319)Termination phase: Finite model building constraint generation
% 95.63/14.02 % (2020319)Time elapsed: 0.341 s
% 95.63/14.02 % (2020319)Peak memory usage: 81 MB
% 95.63/14.02 % (2020319)Instructions burned: 889 (million)
% 95.63/14.02 % (2020325)fmb+10_1_sil=64000:random_seed=2417779364:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 95.63/14.02 % TRYING [1]
% 95.63/14.02 % TRYING [2]
% 95.63/14.02 % TRYING [3]
% 95.63/14.02 % TRYING [4]
% 95.63/14.02 % TRYING [5]
% 95.63/14.02 % (2020321)Instruction limit reached!
% 95.63/14.02 % (2020321)------------------------------
% 95.63/14.02 % (2020321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.63/14.02 % (2020321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.63/14.02 % (2020321)CaDiCaL version: 2.1.3
% 95.63/14.02 % (2020321)Termination reason: Instruction limit
% 95.63/14.02 % (2020321)Termination phase: Saturation
% 95.63/14.02 % (2020321)Time elapsed: 0.374 s
% 95.63/14.02 % (2020321)Peak memory usage: 16 MB
% 95.63/14.02 % (2020321)Instructions burned: 693 (million)
% 95.63/14.02 % (2020327)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4250758222:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 95.63/14.02 % TRYING [20]
% 95.63/14.02 % TRYING [6]
% 95.63/14.02 % (2020323)Instruction limit reached!
% 95.63/14.02 % (2020323)------------------------------
% 95.63/14.02 % (2020323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.63/14.02 % (2020323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.63/14.02 % (2020323)CaDiCaL version: 2.1.3
% 95.63/14.02 % (2020323)Termination reason: Instruction limit
% 95.63/14.02 % (2020323)Termination phase: Saturation
% 95.63/14.02 % (2020323)Time elapsed: 0.516 s
% 95.63/14.02 % (2020323)Peak memory usage: 19 MB
% 95.63/14.02 % (2020323)Instructions burned: 879 (million)
% 95.63/14.02 % (2020329)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4288323396:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 95.63/14.02 % TRYING [8]
% 95.63/14.02 % (2020317)Instruction limit reached!
% 95.63/14.02 % (2020317)------------------------------
% 95.63/14.02 % (2020317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.63/14.02 % (2020317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.63/14.02 % (2020317)CaDiCaL version: 2.1.3
% 95.63/14.02 % (2020317)Termination reason: Instruction limit
% 95.63/14.02 % (2020317)Termination phase: Saturation
% 95.63/14.02 % (2020317)Time elapsed: 0.715 s
% 95.63/14.02 % (2020317)Peak memory usage: 21 MB
% 95.63/14.02 % (2020317)Instructions burned: 1180 (million)
% 95.63/14.02 % (2020331)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3025576153:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 95.63/14.02 % TRYING [7]
% 95.63/14.02 % (2020329)Instruction limit reached!
% 95.63/14.02 % (2020329)------------------------------
% 95.63/14.02 % (2020329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.63/14.02 % (2020329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.63/14.02 % (2020329)CaDiCaL version: 2.1.3
% 95.63/14.02 % (2020329)Termination reason: Instruction limit
% 95.63/14.02 % (2020329)Termination phase: Finite model building constraint generation
% 95.63/14.02 % (2020329)Time elapsed: 0.353 s
% 95.63/14.02 % (2020329)Peak memory usage: 66 MB
% 95.63/14.02 % (2020329)Instructions burned: 921 (million)
% 95.63/14.02 % (2020333)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3528637573:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 95.63/14.02 % TRYING [10]
% 95.63/14.02 % TRYING [8]
% 95.63/14.02 % (2020333)Instruction limit reached!
% 95.63/14.02 % (2020333)------------------------------
% 95.63/14.02 % (2020333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.63/14.02 % (2020333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.63/14.02 % (2020333)CaDiCaL version: 2.1.3
% 95.63/14.02 % (2020333)Termination reason: Instruction limit
% 95.63/14.02 % (2020333)Termination phase: Saturation
% 95.63/14.02 % (2020333)Time elapsed: 0.777 s
% 95.63/14.02 % (2020333)Peak memory usage: 28 MB
% 95.63/14.02 % (2020333)Instructions burned: 1474 (million)
% 95.63/14.02 % (2020335)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1402309101:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 95.63/14.02 % TRYING [77]
% 95.63/14.02 % TRYING [9]
% 95.63/14.02 % (2020331)Instruction limit reached!
% 95.63/14.02 % (2020331)------------------------------
% 95.63/14.02 % (2020331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.63/14.02 % (2020331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.63/14.02 % (2020331)CaDiCaL version: 2.1.3
% 95.63/14.02 % (2020331)Termination reason: Instruction limit
% 95.63/14.02 % (2020331)Termination phase: Saturation
% 95.63/14.02 % (2020331)Time elapsed: 2.723 s
% 95.63/14.02 % (2020331)Peak memory usage: 47 MB
% 95.63/14.02 % (2020331)Instructions burned: 5132 (million)
% 95.63/14.02 % (2020337)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2872490192:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 95.63/14.02 % TRYING [16]
% 95.63/14.02 % (2020327)Instruction limit reached!
% 95.63/14.02 % (2020327)------------------------------
% 95.63/14.02 % (2020327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.63/14.02 % (2020327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.63/14.02 % (2020327)CaDiCaL version: 2.1.3
% 95.63/14.02 % (2020327)Termination reason: Instruction limit
% 95.63/14.02 % (2020327)Termination phase: Finite model building constraint generation
% 95.63/14.02 % (2020327)Time elapsed: 3.466 s
% 95.63/14.02 % (2020327)Peak memory usage: 669 MB
% 95.63/14.02 % (2020327)Instructions burned: 9516 (million)
% 95.63/14.02 % (2020339)ott-2_1_sil=16000:newcnf=on:random_seed=1039386011:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2954 on theBenchmark for (2954ds/869Mi)
% 95.63/14.02 % TRYING [11]
% 95.63/14.02 % (2020337)Instruction limit reached!
% 95.63/14.02 % (2020337)------------------------------
% 95.63/14.02 % (2020337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.63/14.02 % (2020337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.63/14.02 % (2020337)CaDiCaL version: 2.1.3
% 95.63/14.02 % (2020337)Termination reason: Instruction limit
% 95.63/14.02 % (2020337)Termination phase: Finite model building constraint generation
% 95.63/14.02 % (2020337)Time elapsed: 0.734 s
% 95.63/14.02 % (2020337)Peak memory usage: 133 MB
% 95.63/14.02 % (2020337)Instructions burned: 2176 (million)
% 95.63/14.02 % (2020341)ott+10_1_sil=32000:tgt=ground:random_seed=4077896969:i=5114:av=off_2952 on theBenchmark for (2952ds/5114Mi)
% 95.63/14.02 % (2020335)Instruction limit reached!
% 95.63/14.02 % (2020335)------------------------------
% 95.63/14.02 % (2020335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.63/14.02 % (2020335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.63/14.02 % (2020335)CaDiCaL version: 2.1.3
% 95.63/14.02 % (2020335)Termination reason: Instruction limit
% 95.63/14.02 % (2020335)Termination phase: Finite model building constraint generation
% 95.63/14.02 % (2020335)Time elapsed: 2.390 s
% 95.63/14.02 % (2020335)Peak memory usage: 523 MB
% 95.63/14.02 % (2020335)Instructions burned: 6325 (million)
% 95.63/14.02 % (2020343)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3388383304:i=54282_2952 on theBenchmark for (2952ds/54282Mi)
% 95.63/14.02 % TRYING [1]
% 95.63/14.02 % TRYING [2]
% 95.63/14.02 % TRYING [3]
% 95.63/14.02 % TRYING [4]
% 95.63/14.02 % TRYING [5]
% 95.63/14.02 % TRYING [6]
% 95.63/14.02 % TRYING [7]
% 95.63/14.02 % (2020339)Instruction limit reached!
% 95.63/14.02 % (2020339)------------------------------
% 95.63/14.02 % (2020339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.63/14.02 % (2020339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.63/14.02 % (2020339)CaDiCaL version: 2.1.3
% 95.63/14.02 % (2020339)Termination reason: Instruction limit
% 95.63/14.02 % (2020339)Termination phase: Saturation
% 95.63/14.02 % (2020339)Time elapsed: 0.576 s
% 95.63/14.02 % (2020339)Peak memory usage: 19 MB
% 95.63/14.02 % (2020339)Instructions burned: 870 (million)
% 95.63/14.02 % (2020345)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2270447283:i=3512:aac=none_2948 on theBenchmark for (2948ds/3512Mi)
% 95.63/14.02 % TRYING [8]
% 95.63/14.02 % TRYING [9]
% 95.63/14.02 % TRYING [10]
% 95.63/14.02 % (2020345)Instruction limit reached!
% 95.63/14.02 % (2020345)------------------------------
% 95.63/14.02 % (2020345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.63/14.02 % (2020345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.63/14.02 % (2020345)CaDiCaL version: 2.1.3
% 95.63/14.02 % (2020345)Termination reason: Instruction limit
% 95.63/14.02 % (2020345)Termination phase: Saturation
% 95.63/14.02 % (2020345)Time elapsed: 1.816 s
% 95.63/14.02 % (2020345)Peak memory usage: 37 MB
% 95.63/14.02 % (2020345)Instructions burned: 3512 (million)
% 95.63/14.02 % (2020347)dis+21_1_sil=32000:sas=cadical:random_seed=1026447129:i=3773:amm=off_2930 on theBenchmark for (2930ds/3773Mi)
% 95.63/14.02 % (2020341)Instruction limit reached!
% 95.63/14.02 % (2020341)------------------------------
% 95.63/14.02 % (2020341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.63/14.02 % (2020341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.63/14.02 % (2020341)CaDiCaL version: 2.1.3
% 95.63/14.02 % (2020341)Termination reason: Instruction limit
% 95.63/14.02 % (2020341)Termination phase: Saturation
% 95.63/14.02 % (2020341)Time elapsed: 3.110 s
% 95.63/14.02 % (2020341)Peak memory usage: 43 MB
% 95.63/14.02 % (2020341)Instructions burned: 5114 (million)
% 95.63/14.02 % (2020349)ott+11_1_sil=16000:gs=on:random_seed=1966226807:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2921 on theBenchmark for (2921ds/2251Mi)
% 95.63/14.02 % TRYING [10]
% 95.63/14.02 % TRYING [12]
% 95.63/14.02 % (2020347)Instruction limit reached!
% 95.63/14.02 % (2020347)------------------------------
% 95.63/14.02 % (2020347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.63/14.02 % (2020347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.63/14.02 % (2020347)CaDiCaL version: 2.1.3
% 95.63/14.02 % (2020347)Termination reason: Instruction limit
% 95.63/14.02 % (2020347)Termination phase: Saturation
% 95.63/14.02 % (2020347)Time elapsed: 1.982 s
% 95.63/14.02 % (2020347)Peak memory usage: 38 MB
% 95.63/14.02 % (2020347)Instructions burned: 3773 (million)
% 95.63/14.02 % (2020351)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3326789272:fmbsr=1.6:i=67534_2910 on theBenchmark for (2910ds/67534Mi)
% 95.63/14.02 % TRYING [7]
% 95.63/14.02 % (2020349)Instruction limit reached!
% 95.63/14.02 % (2020349)------------------------------
% 95.63/14.02 % (2020349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.63/14.02 % (2020349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.63/14.02 % (2020349)CaDiCaL version: 2.1.3
% 95.63/14.02 % (2020349)Termination reason: Instruction limit
% 95.63/14.02 % (2020349)Termination phase: Saturation
% 95.63/14.02 % (2020349)Time elapsed: 1.359 s
% 95.63/14.02 % (2020349)Peak memory usage: 28 MB
% 95.63/14.02 % (2020349)Instructions burned: 2252 (million)
% 95.63/14.02 % (2020353)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=745408073:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2907 on theBenchmark for (2907ds/4591Mi)
% 95.63/14.02 % (2020325)Instruction limit reached!
% 95.63/14.02 % (2020325)------------------------------
% 95.63/14.02 % (2020325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.63/14.02 % (2020325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.63/14.02 % (2020325)CaDiCaL version: 2.1.3
% 95.63/14.02 % (2020325)Termination reason: Instruction limit
% 95.63/14.02 % (2020325)Termination phase: Finite model building SAT solving
% 95.63/14.02 % (2020325)Time elapsed: 8.989 s
% 95.63/14.02 % (2020325)Peak memory usage: 189 MB
% 95.63/14.02 % (2020325)Instructions burned: 22061 (million)
% 95.63/14.02 % (2020355)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3597640662:i=29340_2901 on theBenchmark for (2901ds/29340Mi)
% 95.63/14.02 % TRYING [8]
% 95.63/14.02 % (2020353)Instruction limit reached!
% 95.63/14.02 % (2020353)------------------------------
% 95.63/14.02 % (2020353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.63/14.02 % (2020353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.63/14.02 % (2020353)CaDiCaL version: 2.1.3
% 95.63/14.02 % (2020353)Termination reason: Instruction limit
% 95.63/14.02 % (2020353)Termination phase: Saturation
% 95.63/14.02 % (2020353)Time elapsed: 1.898 s
% 95.63/14.02 % (2020353)Peak memory usage: 24 MB
% 95.63/14.02 % (2020353)Instructions burned: 4591 (million)
% 95.63/14.02 % (2020357)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1507934050:i=5211_2888 on theBenchmark for (2888ds/5211Mi)
% 95.63/14.02 % TRYING [9]
% 95.63/14.02 % TRYING [11]
% 95.63/14.02 % (2020355) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2020286-2020355"...
% 95.63/14.02 % (2020355)...printing done.
% 95.63/14.02 % (2020355)Refutation found. Thanks to Tanya!
% 95.63/14.02 % SZS status Theorem for theBenchmark
% 95.63/14.02 % SZS output start Proof for theBenchmark
% See solution above
% 95.63/14.02 % (2020355)------------------------------
% 95.63/14.02 % (2020355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 95.63/14.02 % (2020355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.63/14.02 % (2020355)CaDiCaL version: 2.1.3
% 95.63/14.02 % (2020355)Termination reason: Refutation
% 95.63/14.02 % (2020355)Time elapsed: 3.614 s
% 95.63/14.02 % (2020355)Peak memory usage: 69 MB
% 95.63/14.02 % (2020355)Instructions burned: 6376 (million)
% 95.63/14.02 % (2020286)Success in time 13.603 s
% 95.63/14.02 % Vampire exiting
%------------------------------------------------------------------------------