%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE039+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 : n015.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 11:40:43 AM UTC 2026
% Result : Theorem 39.88s 6.08s
% Output : Refutation 39.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 15
% Syntax : Number of formulae : 159 ( 129 unt; 2 def)
% Number of atoms : 191 ( 115 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 34 ~; 28 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 131 ( 130 !; 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(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(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(f16,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X1),X2),X0)
=> leq(multiplication(X2,star(X1)),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE002+0.ax',star_induction_right) ).
fof(f17,conjecture,
! [X0] : star(star(X0)) = star(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0] : star(star(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(f20,plain,
! [X0,X1,X2] :
( leq(multiplication(X2,star(X1)),X0)
| ~ leq(addition(multiplication(X0,X1),X2),X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f21,plain,
? [X0] : star(X0) != star(star(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(star(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(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(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(f40,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X0)
| leq(multiplication(X2,star(X1)),X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f41,plain,
star(sK0) != star(star(sK0)),
inference(cnf_transformation,[],[f23]) ).
fof(f42,definition,
sF1 = star(sK0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f43,plain,
star(sK0) = sF1,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF2 = star(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f45,plain,
star(sF1) = sF2,
inference(reorient_equations,[],[f44]) ).
fof(f46,plain,
sF1 != sF2,
inference(definition_folding,[],[f41,f45,f43,f43]) ).
fof(f56,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f36,f27]) ).
fof(f61,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f56]) ).
fof(f62,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f37,f35]) ).
fof(f65,plain,
leq(addition(one,multiplication(sK0,sF1)),sF1),
inference(superposition,[],[f37,f43]) ).
fof(f66,plain,
leq(addition(one,multiplication(sF1,sF2)),sF2),
inference(superposition,[],[f37,f45]) ).
fof(f68,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f62,f24]) ).
fof(f70,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(resolution,[],[f38,f35]) ).
fof(f74,plain,
leq(addition(one,multiplication(sF2,sF1)),sF2),
inference(superposition,[],[f38,f45]) ).
fof(f76,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(star(X0),X0))),
inference(forward_demodulation,[],[f70,f24]) ).
fof(f79,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f25,f27]) ).
fof(f81,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f25,f24]) ).
fof(f89,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1))),
inference(superposition,[],[f27,f25]) ).
fof(f92,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f24,f25]) ).
fof(f113,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f31,f29]) ).
fof(f118,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(superposition,[],[f31,f29]) ).
fof(f128,plain,
! [X2,X0,X1] :
( multiplication(X0,addition(X1,X2)) != multiplication(X0,X2)
| leq(multiplication(X0,X1),multiplication(X0,X2)) ),
inference(superposition,[],[f36,f31]) ).
fof(f135,plain,
! [X0,X1] : addition(X0,multiplication(X0,X1)) = multiplication(X0,addition(X1,one)),
inference(forward_demodulation,[],[f118,f24]) ).
fof(f154,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f32,f30]) ).
fof(f181,plain,
sF1 = addition(addition(one,multiplication(sK0,sF1)),sF1),
inference(resolution,[],[f65,f35]) ).
fof(f182,plain,
sF1 = addition(sF1,addition(one,multiplication(sK0,sF1))),
inference(forward_demodulation,[],[f181,f24]) ).
fof(f183,plain,
sF1 = addition(one,addition(multiplication(sK0,sF1),sF1)),
inference(forward_demodulation,[],[f182,f92]) ).
fof(f184,plain,
sF1 = addition(one,addition(sF1,multiplication(sK0,sF1))),
inference(forward_demodulation,[],[f183,f24]) ).
fof(f185,plain,
sF1 = addition(one,multiplication(addition(one,sK0),sF1)),
inference(forward_demodulation,[],[f184,f154]) ).
fof(f194,plain,
! [X0,X1] :
( leq(multiplication(star(X0),multiplication(X0,X1)),X1)
| ~ leq(multiplication(X0,X1),X1) ),
inference(superposition,[],[f39,f27]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ~ leq(addition(X0,multiplication(X1,X2)),X2)
| leq(multiplication(star(X1),X0),X2) ),
inference(superposition,[],[f39,f24]) ).
fof(f200,plain,
sF2 = addition(addition(one,multiplication(sF1,sF2)),sF2),
inference(resolution,[],[f66,f35]) ).
fof(f201,plain,
sF2 = addition(sF2,addition(one,multiplication(sF1,sF2))),
inference(forward_demodulation,[],[f200,f24]) ).
fof(f202,plain,
sF2 = addition(one,addition(multiplication(sF1,sF2),sF2)),
inference(forward_demodulation,[],[f201,f92]) ).
fof(f203,plain,
sF2 = addition(one,addition(sF2,multiplication(sF1,sF2))),
inference(forward_demodulation,[],[f202,f24]) ).
fof(f204,plain,
sF2 = addition(one,multiplication(addition(one,sF1),sF2)),
inference(forward_demodulation,[],[f203,f154]) ).
fof(f215,plain,
! [X2,X0,X1] :
( ~ leq(addition(X0,multiplication(X1,X2)),X1)
| leq(multiplication(X0,star(X2)),X1) ),
inference(superposition,[],[f40,f24]) ).
fof(f227,plain,
sF2 = addition(addition(one,multiplication(sF2,sF1)),sF2),
inference(resolution,[],[f74,f35]) ).
fof(f228,plain,
sF2 = addition(sF2,addition(one,multiplication(sF2,sF1))),
inference(forward_demodulation,[],[f227,f24]) ).
fof(f229,plain,
sF2 = addition(one,addition(multiplication(sF2,sF1),sF2)),
inference(forward_demodulation,[],[f228,f92]) ).
fof(f230,plain,
sF2 = addition(one,addition(sF2,multiplication(sF2,sF1))),
inference(forward_demodulation,[],[f229,f24]) ).
fof(f231,plain,
sF2 = addition(one,multiplication(sF2,addition(one,sF1))),
inference(forward_demodulation,[],[f230,f113]) ).
fof(f253,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,addition(X0,X1)),
inference(superposition,[],[f79,f24]) ).
fof(f265,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f36,f79]) ).
fof(f269,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f265]) ).
fof(f286,plain,
! [X0,X1] : leq(X1,addition(X0,X1)),
inference(superposition,[],[f269,f24]) ).
fof(f496,plain,
! [X0,X1] : addition(X1,X0) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f92,f27]) ).
fof(f531,plain,
! [X2,X0,X1] : leq(X1,addition(X0,addition(X1,X2))),
inference(superposition,[],[f269,f92]) ).
fof(f713,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = multiplication(X0,addition(X1,one)),
inference(superposition,[],[f113,f135]) ).
fof(f998,plain,
! [X0] : leq(one,star(X0)),
inference(superposition,[],[f531,f68]) ).
fof(f1178,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(resolution,[],[f998,f35]) ).
fof(f1179,plain,
leq(one,sF1),
inference(superposition,[],[f998,f43]) ).
fof(f1180,plain,
leq(one,sF2),
inference(superposition,[],[f998,f45]) ).
fof(f1233,plain,
sF1 = addition(one,sF1),
inference(resolution,[],[f1179,f35]) ).
fof(f1312,plain,
sF2 = addition(one,sF2),
inference(resolution,[],[f1180,f35]) ).
fof(f1399,plain,
! [X0] : addition(sF1,X0) = addition(sF1,addition(one,X0)),
inference(superposition,[],[f81,f1233]) ).
fof(f1414,plain,
! [X0] : addition(sF1,X0) = addition(one,addition(X0,sF1)),
inference(forward_demodulation,[],[f1399,f92]) ).
fof(f1417,plain,
! [X0] :
( leq(multiplication(sF2,multiplication(sF1,X0)),X0)
| ~ leq(multiplication(sF1,X0),X0) ),
inference(superposition,[],[f194,f45]) ).
fof(f1431,plain,
! [X0] : addition(sF2,X0) = addition(sF2,addition(one,X0)),
inference(superposition,[],[f81,f1312]) ).
fof(f1446,plain,
! [X0] : addition(sF2,X0) = addition(one,addition(X0,sF2)),
inference(forward_demodulation,[],[f1431,f92]) ).
fof(f1458,plain,
! [X0,X1] :
( ~ leq(multiplication(addition(one,X0),X1),X1)
| leq(multiplication(star(X0),X1),X1) ),
inference(superposition,[],[f196,f154]) ).
fof(f1982,plain,
! [X0] :
( multiplication(X0,sF2) != multiplication(X0,sF2)
| leq(multiplication(X0,one),multiplication(X0,sF2)) ),
inference(superposition,[],[f128,f1312]) ).
fof(f1989,plain,
! [X0] : leq(multiplication(X0,one),multiplication(X0,sF2)),
inference(trivial_inequality_removal,[],[f1982]) ).
fof(f2000,plain,
! [X0] : leq(X0,multiplication(X0,sF2)),
inference(forward_demodulation,[],[f1989,f29]) ).
fof(f3134,plain,
! [X0,X1] : addition(star(X0),X1) = addition(star(X0),addition(one,X1)),
inference(superposition,[],[f81,f1178]) ).
fof(f3159,plain,
! [X0,X1] : addition(star(X0),X1) = addition(one,addition(X1,star(X0))),
inference(forward_demodulation,[],[f3134,f92]) ).
fof(f3180,plain,
leq(multiplication(addition(one,sK0),sF1),sF1),
inference(superposition,[],[f286,f185]) ).
fof(f3216,plain,
( ~ leq(sF2,addition(one,sF1))
| leq(multiplication(one,star(sF2)),addition(one,sF1)) ),
inference(superposition,[],[f215,f204]) ).
fof(f3223,plain,
sF2 = addition(one,addition(multiplication(addition(one,sF1),sF2),sF2)),
inference(superposition,[],[f89,f204]) ).
fof(f3250,plain,
sF2 = addition(sF2,multiplication(addition(one,sF1),sF2)),
inference(forward_demodulation,[],[f3223,f1446]) ).
fof(f3255,plain,
( ~ leq(sF2,sF1)
| leq(multiplication(one,star(sF2)),addition(one,sF1)) ),
inference(forward_demodulation,[],[f3216,f1233]) ).
fof(f3264,plain,
sF2 = multiplication(addition(one,addition(one,sF1)),sF2),
inference(forward_demodulation,[],[f3250,f154]) ).
fof(f3268,plain,
( leq(multiplication(one,star(sF2)),sF1)
| ~ leq(sF2,sF1) ),
inference(forward_demodulation,[],[f3255,f1233]) ).
fof(f3273,plain,
sF2 = multiplication(addition(one,sF1),sF2),
inference(forward_demodulation,[],[f3264,f79]) ).
fof(f3277,plain,
( leq(star(sF2),sF1)
| ~ leq(sF2,sF1) ),
inference(forward_demodulation,[],[f3268,f30]) ).
fof(f3280,plain,
sF2 = multiplication(sF1,sF2),
inference(forward_demodulation,[],[f3273,f1233]) ).
fof(f3297,plain,
multiplication(sF1,addition(one,sF2)) = addition(sF1,sF2),
inference(superposition,[],[f113,f3280]) ).
fof(f3315,plain,
( leq(multiplication(star(sF1),sF2),sF2)
| ~ leq(sF2,sF2) ),
inference(superposition,[],[f194,f3280]) ).
fof(f3321,plain,
leq(multiplication(star(sF1),sF2),sF2),
inference(forward_subsumption_resolution,[],[f3315,f61]) ).
fof(f3334,plain,
multiplication(sF1,sF2) = addition(sF1,sF2),
inference(forward_demodulation,[],[f3297,f1312]) ).
fof(f3340,plain,
leq(multiplication(sF2,sF2),sF2),
inference(forward_demodulation,[],[f3321,f45]) ).
fof(f3346,plain,
sF2 = addition(sF1,sF2),
inference(forward_demodulation,[],[f3334,f3280]) ).
fof(f3417,plain,
sF2 = addition(one,addition(multiplication(sF2,addition(one,sF1)),sF2)),
inference(superposition,[],[f89,f231]) ).
fof(f3444,plain,
sF2 = addition(sF2,multiplication(sF2,addition(one,sF1))),
inference(forward_demodulation,[],[f3417,f1446]) ).
fof(f3458,plain,
sF2 = multiplication(sF2,addition(one,addition(one,sF1))),
inference(forward_demodulation,[],[f3444,f113]) ).
fof(f3467,plain,
sF2 = multiplication(sF2,addition(sF1,one)),
inference(forward_demodulation,[],[f3458,f1414]) ).
fof(f3475,plain,
sF2 = multiplication(sF2,addition(one,sF1)),
inference(forward_demodulation,[],[f3467,f713]) ).
fof(f3480,plain,
sF2 = multiplication(sF2,sF1),
inference(forward_demodulation,[],[f3475,f1233]) ).
fof(f3581,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(superposition,[],[f253,f76]) ).
fof(f3650,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(star(X0),X0),star(X0))),
inference(forward_demodulation,[],[f3581,f25]) ).
fof(f3681,plain,
! [X0] : star(X0) = addition(star(X0),multiplication(star(X0),X0)),
inference(forward_demodulation,[],[f3650,f3159]) ).
fof(f3697,plain,
! [X0] : star(X0) = multiplication(star(X0),addition(one,X0)),
inference(forward_demodulation,[],[f3681,f113]) ).
fof(f3734,plain,
sF2 = addition(multiplication(sF2,sF2),sF2),
inference(resolution,[],[f3340,f35]) ).
fof(f3735,plain,
sF2 = addition(sF2,multiplication(sF2,sF2)),
inference(forward_demodulation,[],[f3734,f24]) ).
fof(f3736,plain,
sF2 = multiplication(sF2,addition(one,sF2)),
inference(forward_demodulation,[],[f3735,f113]) ).
fof(f3737,plain,
sF2 = multiplication(sF2,sF2),
inference(forward_demodulation,[],[f3736,f1312]) ).
fof(f4245,plain,
( leq(multiplication(star(sF2),sF2),sF2)
| ~ leq(sF2,sF2) ),
inference(superposition,[],[f194,f3737]) ).
fof(f4250,plain,
leq(multiplication(star(sF2),sF2),sF2),
inference(forward_subsumption_resolution,[],[f4245,f61]) ).
fof(f4519,plain,
sF2 = addition(multiplication(star(sF2),sF2),sF2),
inference(resolution,[],[f4250,f35]) ).
fof(f4520,plain,
sF2 = addition(sF2,multiplication(star(sF2),sF2)),
inference(forward_demodulation,[],[f4519,f24]) ).
fof(f4521,plain,
sF2 = multiplication(addition(one,star(sF2)),sF2),
inference(forward_demodulation,[],[f4520,f154]) ).
fof(f4522,plain,
sF2 = multiplication(star(sF2),sF2),
inference(forward_demodulation,[],[f4521,f1178]) ).
fof(f6180,plain,
leq(star(sF2),sF2),
inference(superposition,[],[f2000,f4522]) ).
fof(f6189,plain,
multiplication(star(sF2),addition(one,sF2)) = addition(star(sF2),sF2),
inference(superposition,[],[f113,f4522]) ).
fof(f6225,plain,
multiplication(star(sF2),addition(one,sF2)) = addition(sF2,star(sF2)),
inference(forward_demodulation,[],[f6189,f24]) ).
fof(f6238,plain,
star(sF2) = addition(sF2,star(sF2)),
inference(forward_demodulation,[],[f6225,f3697]) ).
fof(f6562,plain,
sF2 = addition(star(sF2),sF2),
inference(resolution,[],[f6180,f35]) ).
fof(f6563,plain,
sF2 = addition(sF2,star(sF2)),
inference(forward_demodulation,[],[f6562,f24]) ).
fof(f7019,plain,
addition(sF2,sF2) = addition(star(sF2),sF2),
inference(superposition,[],[f496,f6563]) ).
fof(f7027,plain,
addition(sF2,sF2) = addition(sF2,star(sF2)),
inference(forward_demodulation,[],[f7019,f24]) ).
fof(f7036,plain,
addition(sF2,sF2) = star(sF2),
inference(forward_demodulation,[],[f7027,f6238]) ).
fof(f7039,plain,
sF2 = star(sF2),
inference(forward_demodulation,[],[f7036,f27]) ).
fof(f9758,plain,
( ~ leq(sF2,sF1)
| sF1 = addition(star(sF2),sF1) ),
inference(resolution,[],[f3277,f35]) ).
fof(f9760,plain,
( sF1 = addition(sF1,star(sF2))
| ~ leq(sF2,sF1) ),
inference(forward_demodulation,[],[f9758,f24]) ).
fof(f9763,plain,
( sF1 = addition(sF1,sF2)
| ~ leq(sF2,sF1) ),
inference(forward_demodulation,[],[f9760,f7039]) ).
fof(f9766,plain,
( sF1 = sF2
| ~ leq(sF2,sF1) ),
inference(forward_demodulation,[],[f9763,f3346]) ).
fof(f9769,plain,
~ leq(sF2,sF1),
inference(forward_subsumption_resolution,[],[f9766,f46]) ).
fof(f14137,plain,
leq(multiplication(star(sK0),sF1),sF1),
inference(resolution,[],[f1458,f3180]) ).
fof(f14211,plain,
leq(multiplication(sF1,sF1),sF1),
inference(forward_demodulation,[],[f14137,f43]) ).
fof(f14239,plain,
sF1 = addition(multiplication(sF1,sF1),sF1),
inference(resolution,[],[f14211,f35]) ).
fof(f14240,plain,
sF1 = addition(sF1,multiplication(sF1,sF1)),
inference(forward_demodulation,[],[f14239,f24]) ).
fof(f14243,plain,
sF1 = multiplication(sF1,addition(one,sF1)),
inference(forward_demodulation,[],[f14240,f113]) ).
fof(f14246,plain,
sF1 = multiplication(sF1,sF1),
inference(forward_demodulation,[],[f14243,f1233]) ).
fof(f14309,plain,
( leq(multiplication(sF2,sF1),sF1)
| ~ leq(sF1,sF1) ),
inference(superposition,[],[f1417,f14246]) ).
fof(f14371,plain,
leq(multiplication(sF2,sF1),sF1),
inference(forward_subsumption_resolution,[],[f14309,f61]) ).
fof(f14383,plain,
leq(sF2,sF1),
inference(forward_demodulation,[],[f14371,f3480]) ).
fof(f14389,plain,
$false,
inference(forward_subsumption_resolution,[],[f14383,f9769]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE039+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n015.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 13:08:46 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 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
% 20.49/3.33 % (1653266)Will run a generic schedule for satisfiability detection.
% 20.49/3.33 % (1653275)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=924726311:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 20.49/3.33 % (1653272)% WARNING: option uhcvi not known.
% 20.49/3.33 % (1653272)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=232736167:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 20.49/3.33 % (1653276)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=891823919:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 20.49/3.33 % (1653274)dis+10_1_sil=32000:sp=arity:random_seed=3318531964:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 20.49/3.33 % (1653273)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3442490314:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 20.49/3.33 % (1653277)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2954926306:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 20.49/3.33 % (1653271)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=344039753_2999 on theBenchmark for (2999ds/0Mi)
% 20.49/3.33 % TRYING [1]
% 20.49/3.33 % TRYING [2]
% 20.49/3.33 % TRYING [3]
% 20.49/3.33 % TRYING [4]
% 20.49/3.33 % (1653275)Instruction limit reached!
% 20.49/3.33 % (1653275)------------------------------
% 20.49/3.33 % (1653275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.49/3.33 % (1653275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.49/3.33 % (1653275)CaDiCaL version: 2.1.3
% 20.49/3.33 % (1653275)Termination reason: Instruction limit
% 20.49/3.33 % (1653275)Termination phase: Saturation
% 20.49/3.33 % (1653275)Time elapsed: 0.040 s
% 20.49/3.33 % (1653275)Peak memory usage: 13 MB
% 20.49/3.33 % (1653275)Instructions burned: 119 (million)
% 20.49/3.33 % (1653285)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3321297243:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 20.49/3.33 % TRYING [1]
% 20.49/3.33 % TRYING [2]
% 20.49/3.33 % TRYING [3]
% 20.49/3.33 % TRYING [4]
% 20.49/3.33 % TRYING [5]
% 20.49/3.33 % TRYING [5]
% 20.49/3.33 % (1653274)Instruction limit reached!
% 20.49/3.33 % (1653274)------------------------------
% 20.49/3.33 % (1653274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.49/3.33 % (1653274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.49/3.33 % (1653274)CaDiCaL version: 2.1.3
% 20.49/3.33 % (1653274)Termination reason: Instruction limit
% 20.49/3.33 % (1653274)Termination phase: Saturation
% 20.49/3.33 % (1653274)Time elapsed: 0.063 s
% 20.49/3.33 % (1653274)Peak memory usage: 12 MB
% 20.49/3.33 % (1653274)Instructions burned: 103 (million)
% 20.49/3.33 % (1653276)Instruction limit reached!
% 20.49/3.33 % (1653276)------------------------------
% 20.49/3.33 % (1653276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.49/3.33 % (1653276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.49/3.33 % (1653276)CaDiCaL version: 2.1.3
% 20.49/3.33 % (1653276)Termination reason: Instruction limit
% 20.49/3.33 % (1653276)Termination phase: Saturation
% 20.49/3.33 % (1653276)Time elapsed: 0.077 s
% 20.49/3.33 % (1653276)Peak memory usage: 13 MB
% 20.49/3.33 % (1653276)Instructions burned: 132 (million)
% 20.49/3.33 % (1653287)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3669460724:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 20.49/3.33 % (1653288)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=1508451045:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 20.49/3.33 % (1653277)Instruction limit reached!
% 20.49/3.33 % (1653277)------------------------------
% 20.49/3.33 % (1653277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.49/3.33 % (1653277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.49/3.33 % (1653277)CaDiCaL version: 2.1.3
% 20.49/3.33 % (1653277)Termination reason: Instruction limit
% 20.49/3.33 % (1653277)Termination phase: Saturation
% 20.49/3.33 % (1653277)Time elapsed: 0.099 s
% 20.49/3.33 % (1653277)Peak memory usage: 13 MB
% 20.49/3.33 % (1653277)Instructions burned: 160 (million)
% 20.49/3.33 % TRYING [6]
% 20.49/3.33 % (1653291)ott-21_1_sil=16000:fs=off:random_seed=1170463547:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 20.49/3.33 % TRYING [6]
% 20.49/3.33 % (1653287)Instruction limit reached!
% 20.49/3.33 % (1653287)------------------------------
% 20.49/3.33 % (1653287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.88/6.08 % (1653287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.88/6.08 % (1653287)CaDiCaL version: 2.1.3
% 39.88/6.08 % (1653287)Termination reason: Instruction limit
% 39.88/6.08 % (1653287)Termination phase: Saturation
% 39.88/6.08 % (1653287)Time elapsed: 0.087 s
% 39.88/6.08 % (1653287)Peak memory usage: 13 MB
% 39.88/6.08 % (1653287)Instructions burned: 131 (million)
% 39.88/6.08 % (1653293)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1916793889:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 39.88/6.08 % (1653291)Instruction limit reached!
% 39.88/6.08 % (1653291)------------------------------
% 39.88/6.08 % (1653291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.88/6.08 % (1653291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.88/6.08 % (1653291)CaDiCaL version: 2.1.3
% 39.88/6.08 % (1653291)Termination reason: Instruction limit
% 39.88/6.08 % (1653291)Termination phase: Saturation
% 39.88/6.08 % (1653291)Time elapsed: 0.075 s
% 39.88/6.08 % (1653291)Peak memory usage: 12 MB
% 39.88/6.08 % (1653291)Instructions burned: 181 (million)
% 39.88/6.08 % (1653295)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1618883023:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 39.88/6.08 % TRYING [1]
% 39.88/6.08 % TRYING [2]
% 39.88/6.08 % TRYING [3]
% 39.88/6.08 % TRYING [4]
% 39.88/6.08 % (1653285)Instruction limit reached!
% 39.88/6.08 % (1653285)------------------------------
% 39.88/6.08 % (1653285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.88/6.08 % (1653285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.88/6.08 % (1653285)CaDiCaL version: 2.1.3
% 39.88/6.08 % (1653285)Termination reason: Instruction limit
% 39.88/6.08 % (1653285)Termination phase: Finite model building SAT solving
% 39.88/6.08 % (1653285)Time elapsed: 0.225 s
% 39.88/6.08 % (1653285)Peak memory usage: 31 MB
% 39.88/6.08 % (1653285)Instructions burned: 714 (million)
% 39.88/6.08 % TRYING [5]
% 39.88/6.08 % (1653297)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1646226911:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 39.88/6.08 % TRYING [7]
% 39.88/6.08 % TRYING [6]
% 39.88/6.08 % (1653288)Instruction limit reached!
% 39.88/6.08 % (1653288)------------------------------
% 39.88/6.08 % (1653288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.88/6.08 % (1653288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.88/6.08 % (1653288)CaDiCaL version: 2.1.3
% 39.88/6.08 % (1653288)Termination reason: Instruction limit
% 39.88/6.08 % (1653288)Termination phase: Saturation
% 39.88/6.08 % (1653288)Time elapsed: 0.429 s
% 39.88/6.08 % (1653288)Peak memory usage: 17 MB
% 39.88/6.08 % (1653288)Instructions burned: 685 (million)
% 39.88/6.08 % (1653308)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=12857794:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 39.88/6.08 % (1653293)Instruction limit reached!
% 39.88/6.08 % (1653293)------------------------------
% 39.88/6.08 % (1653293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.88/6.08 % (1653293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.88/6.08 % (1653293)CaDiCaL version: 2.1.3
% 39.88/6.08 % (1653293)Termination reason: Instruction limit
% 39.88/6.08 % (1653293)Termination phase: Saturation
% 39.88/6.08 % (1653293)Time elapsed: 0.413 s
% 39.88/6.08 % (1653293)Peak memory usage: 14 MB
% 39.88/6.08 % (1653293)Instructions burned: 477 (million)
% 39.88/6.08 % (1653316)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=2409514293:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 39.88/6.08 % (1653295)Instruction limit reached!
% 39.88/6.08 % (1653295)------------------------------
% 39.88/6.08 % (1653295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.88/6.08 % (1653295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.88/6.08 % (1653295)CaDiCaL version: 2.1.3
% 39.88/6.08 % (1653295)Termination reason: Instruction limit
% 39.88/6.08 % (1653295)Termination phase: Finite model building SAT solving
% 39.88/6.08 % (1653295)Time elapsed: 0.487 s
% 39.88/6.08 % (1653295)Peak memory usage: 25 MB
% 39.88/6.08 % (1653295)Instructions burned: 866 (million)
% 39.88/6.08 % (1653319)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1756471677:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 39.88/6.08 % (1653297)Instruction limit reached!
% 39.88/6.08 % (1653297)------------------------------
% 39.88/6.08 % (1653297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.88/6.08 % (1653297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.88/6.08 % (1653297)CaDiCaL version: 2.1.3
% 39.88/6.08 % (1653297)Termination reason: Instruction limit
% 39.88/6.08 % (1653297)Termination phase: Saturation
% 39.88/6.08 % (1653297)Time elapsed: 0.497 s
% 39.88/6.08 % (1653297)Peak memory usage: 19 MB
% 39.88/6.08 % (1653297)Instructions burned: 1180 (million)
% 39.88/6.08 % TRYING [14]
% 39.88/6.08 % (1653323)fmb+10_1_sil=64000:random_seed=1623662015:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 39.88/6.08 % TRYING [1]
% 39.88/6.08 % TRYING [2]
% 39.88/6.08 % TRYING [3]
% 39.88/6.08 % TRYING [4]
% 39.88/6.08 % TRYING [5]
% 39.88/6.08 % TRYING [8]
% 39.88/6.08 % TRYING [6]
% 39.88/6.08 % (1653308)Instruction limit reached!
% 39.88/6.08 % (1653308)------------------------------
% 39.88/6.08 % (1653308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.88/6.08 % (1653308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.88/6.08 % (1653308)CaDiCaL version: 2.1.3
% 39.88/6.08 % (1653308)Termination reason: Instruction limit
% 39.88/6.08 % (1653308)Termination phase: Finite model building constraint generation
% 39.88/6.08 % (1653308)Time elapsed: 0.613 s
% 39.88/6.08 % (1653308)Peak memory usage: 81 MB
% 39.88/6.08 % (1653308)Instructions burned: 890 (million)
% 39.88/6.08 % TRYING [7]
% 39.88/6.08 % (1653332)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=86054679:i=9515:nm=5_2987 on theBenchmark for (2987ds/9515Mi)
% 39.88/6.08 % TRYING [20]
% 39.88/6.08 % (1653316)Instruction limit reached!
% 39.88/6.08 % (1653316)------------------------------
% 39.88/6.08 % (1653316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.88/6.08 % (1653316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.88/6.08 % (1653316)CaDiCaL version: 2.1.3
% 39.88/6.08 % (1653316)Termination reason: Instruction limit
% 39.88/6.08 % (1653316)Termination phase: Saturation
% 39.88/6.08 % (1653316)Time elapsed: 0.672 s
% 39.88/6.08 % (1653316)Peak memory usage: 18 MB
% 39.88/6.08 % (1653316)Instructions burned: 692 (million)
% 39.88/6.08 % (1653334)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2544834266:fmbsr=1.7:i=920_2986 on theBenchmark for (2986ds/920Mi)
% 39.88/6.08 % TRYING [8]
% 39.88/6.08 % (1653319)Instruction limit reached!
% 39.88/6.08 % (1653319)------------------------------
% 39.88/6.08 % (1653319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.88/6.08 % (1653319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.88/6.08 % (1653319)CaDiCaL version: 2.1.3
% 39.88/6.08 % (1653319)Termination reason: Instruction limit
% 39.88/6.08 % (1653319)Termination phase: Saturation
% 39.88/6.08 % (1653319)Time elapsed: 0.867 s
% 39.88/6.08 % (1653319)Peak memory usage: 19 MB
% 39.88/6.08 % (1653319)Instructions burned: 879 (million)
% 39.88/6.08 % (1653344)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1674766561:i=5131_2983 on theBenchmark for (2983ds/5131Mi)
% 39.88/6.08 % TRYING [8]
% 39.88/6.08 % (1653334)Instruction limit reached!
% 39.88/6.08 % (1653334)------------------------------
% 39.88/6.08 % (1653334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.88/6.08 % (1653334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.88/6.08 % (1653334)CaDiCaL version: 2.1.3
% 39.88/6.08 % (1653334)Termination reason: Instruction limit
% 39.88/6.08 % (1653334)Termination phase: Finite model building constraint generation
% 39.88/6.08 % (1653334)Time elapsed: 0.675 s
% 39.88/6.08 % (1653334)Peak memory usage: 66 MB
% 39.88/6.08 % (1653334)Instructions burned: 921 (million)
% 39.88/6.08 % (1653351)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=318209783:i=1472:ins=7:fdi=8:gsp=on_2979 on theBenchmark for (2979ds/1472Mi)
% 39.88/6.08 % TRYING [9]
% 39.88/6.08 % TRYING [9]
% 39.88/6.08 % (1653351)Instruction limit reached!
% 39.88/6.08 % (1653351)------------------------------
% 39.88/6.08 % (1653351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.88/6.08 % (1653351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.88/6.08 % (1653351)CaDiCaL version: 2.1.3
% 39.88/6.08 % (1653351)Termination reason: Instruction limit
% 39.88/6.08 % (1653351)Termination phase: Saturation
% 39.88/6.08 % (1653351)Time elapsed: 0.779 s
% 39.88/6.08 % (1653351)Peak memory usage: 28 MB
% 39.88/6.08 % (1653351)Instructions burned: 1473 (million)
% 39.88/6.08 % (1653408)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1256927294:i=6324_2970 on theBenchmark for (2970ds/6324Mi)
% 39.88/6.08 % TRYING [77]
% 39.88/6.08 % TRYING [10]
% 39.88/6.08 % TRYING [10]
% 39.88/6.08 % (1653344)Instruction limit reached!
% 39.88/6.08 % (1653344)------------------------------
% 39.88/6.08 % (1653344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.88/6.08 % (1653344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.88/6.08 % (1653344)CaDiCaL version: 2.1.3
% 39.88/6.08 % (1653344)Termination reason: Instruction limit
% 39.88/6.08 % (1653344)Termination phase: Saturation
% 39.88/6.08 % (1653344)Time elapsed: 2.934 s
% 39.88/6.08 % (1653344)Peak memory usage: 48 MB
% 39.88/6.08 % (1653344)Instructions burned: 5132 (million)
% 39.88/6.08 % (1653509)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3402878761:fmbsr=2.30978:i=2174_2953 on theBenchmark for (2953ds/2174Mi)
% 39.88/6.08 % TRYING [16]
% 39.88/6.08 % (1653332)Instruction limit reached!
% 39.88/6.08 % (1653332)------------------------------
% 39.88/6.08 % (1653332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.88/6.08 % (1653332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.88/6.08 % (1653332)CaDiCaL version: 2.1.3
% 39.88/6.08 % (1653332)Termination reason: Instruction limit
% 39.88/6.08 % (1653332)Termination phase: Finite model building constraint generation
% 39.88/6.08 % (1653332)Time elapsed: 3.924 s
% 39.88/6.08 % (1653332)Peak memory usage: 669 MB
% 39.88/6.08 % (1653332)Instructions burned: 9518 (million)
% 39.88/6.08 % (1653408)Instruction limit reached!
% 39.88/6.08 % (1653408)------------------------------
% 39.88/6.08 % (1653408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.88/6.08 % (1653408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.88/6.08 % (1653408)CaDiCaL version: 2.1.3
% 39.88/6.08 % (1653408)Termination reason: Instruction limit
% 39.88/6.08 % (1653408)Termination phase: Finite model building constraint generation
% 39.88/6.08 % (1653408)Time elapsed: 2.354 s
% 39.88/6.08 % (1653408)Peak memory usage: 523 MB
% 39.88/6.08 % (1653408)Instructions burned: 6325 (million)
% 39.88/6.08 % (1653511)ott-2_1_sil=16000:newcnf=on:random_seed=3077320322:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2947 on theBenchmark for (2947ds/869Mi)
% 39.88/6.08 % (1653513)ott+10_1_sil=32000:tgt=ground:random_seed=2665581361:i=5114:av=off_2946 on theBenchmark for (2946ds/5114Mi)
% 39.88/6.08 % (1653509)Instruction limit reached!
% 39.88/6.08 % (1653509)------------------------------
% 39.88/6.08 % (1653509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.88/6.08 % (1653509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.88/6.08 % (1653509)CaDiCaL version: 2.1.3
% 39.88/6.08 % (1653509)Termination reason: Instruction limit
% 39.88/6.08 % (1653509)Termination phase: Finite model building constraint generation
% 39.88/6.08 % (1653509)Time elapsed: 0.732 s
% 39.88/6.08 % (1653509)Peak memory usage: 133 MB
% 39.88/6.08 % (1653509)Instructions burned: 2176 (million)
% 39.88/6.08 % (1653515)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3218863824:i=54282_2946 on theBenchmark for (2946ds/54282Mi)
% 39.88/6.08 % TRYING [1]
% 39.88/6.08 % TRYING [2]
% 39.88/6.08 % TRYING [3]
% 39.88/6.08 % TRYING [4]
% 39.88/6.08 % TRYING [5]
% 39.88/6.08 % TRYING [6]
% 39.88/6.08 % (1653513) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1653266-1653513"...
% 39.88/6.08 % (1653513)...printing done.
% 39.88/6.08 % (1653513)Refutation found. Thanks to Tanya!
% 39.88/6.08 % SZS status Theorem for theBenchmark
% 39.88/6.08 % SZS output start Proof for theBenchmark
% See solution above
% 39.88/6.09 % (1653513)------------------------------
% 39.88/6.09 % (1653513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.88/6.09 % (1653513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.88/6.09 % (1653513)CaDiCaL version: 2.1.3
% 39.88/6.09 % (1653513)Termination reason: Refutation
% 39.88/6.09 % (1653513)Time elapsed: 0.275 s
% 39.88/6.09 % (1653513)Peak memory usage: 16 MB
% 39.88/6.09 % (1653513)Instructions burned: 457 (million)
% 39.88/6.09 % (1653266)Success in time 5.675 s
% 39.88/6.09 % Vampire exiting
%------------------------------------------------------------------------------