%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE045+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 11:40:11 AM UTC 2026
% Result : Theorem 17.83s 3.49s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 20
% Syntax : Number of formulae : 146 ( 115 unt; 6 def)
% Number of atoms : 179 ( 109 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 63 ( 30 ~; 25 |; 3 &)
% ( 1 <=>; 4 =>; 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 : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 155 ( 152 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_right) ).
fof(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',star_induction_right) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( leq(multiplication(X0,X2),multiplication(X2,X1))
=> leq(multiplication(star(X0),X2),multiplication(X2,star(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( leq(multiplication(X0,X2),multiplication(X2,X1))
=> leq(multiplication(star(X0),X2),multiplication(X2,star(X1))) ),
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,X1,X2] :
( ~ leq(multiplication(star(X0),X2),multiplication(X2,star(X1)))
& leq(multiplication(X0,X2),multiplication(X2,X1)) ),
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,
( ~ leq(multiplication(star(sK0),sK2),multiplication(sK2,star(sK1)))
& leq(multiplication(sK0,sK2),multiplication(sK2,sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[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(f28,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
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,
leq(multiplication(sK0,sK2),multiplication(sK2,sK1)),
inference(cnf_transformation,[],[f23]) ).
fof(f42,plain,
~ leq(multiplication(star(sK0),sK2),multiplication(sK2,star(sK1))),
inference(cnf_transformation,[],[f23]) ).
fof(f43,definition,
sF3 = star(sK0),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f44,plain,
star(sK0) = sF3,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF4 = multiplication(sF3,sK2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f46,plain,
multiplication(sF3,sK2) = sF4,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF5 = star(sK1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f48,plain,
star(sK1) = sF5,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF6 = multiplication(sK2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f50,plain,
multiplication(sK2,sF5) = sF6,
inference(reorient_equations,[],[f49]) ).
fof(f51,plain,
~ leq(sF4,sF6),
inference(definition_folding,[],[f42,f50,f48,f46,f44]) ).
fof(f52,definition,
sF7 = multiplication(sK0,sK2),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f53,plain,
multiplication(sK0,sK2) = sF7,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF8 = multiplication(sK2,sK1),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f55,plain,
multiplication(sK2,sK1) = sF8,
inference(reorient_equations,[],[f54]) ).
fof(f56,plain,
leq(sF7,sF8),
inference(definition_folding,[],[f41,f55,f53]) ).
fof(f57,plain,
! [X0] : multiplication(sK2,addition(sF5,X0)) = addition(sF6,multiplication(sK2,X0)),
inference(superposition,[],[f31,f50]) ).
fof(f58,plain,
! [X0] : multiplication(sK2,addition(sK1,X0)) = addition(sF8,multiplication(sK2,X0)),
inference(superposition,[],[f31,f55]) ).
fof(f68,plain,
! [X2,X0,X1] : addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X2,X1)),
inference(superposition,[],[f31,f24]) ).
fof(f69,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = multiplication(X0,addition(X2,X1)),
inference(forward_demodulation,[],[f68,f31]) ).
fof(f74,plain,
! [X0] : multiplication(sK0,multiplication(sK2,X0)) = multiplication(sF7,X0),
inference(superposition,[],[f28,f53]) ).
fof(f75,plain,
! [X0] : multiplication(sK2,multiplication(sF5,X0)) = multiplication(sF6,X0),
inference(superposition,[],[f28,f50]) ).
fof(f77,plain,
! [X0] : multiplication(sF3,multiplication(sK2,X0)) = multiplication(sF4,X0),
inference(superposition,[],[f28,f46]) ).
fof(f91,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f37,f35]) ).
fof(f95,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(X0,star(X0)),star(X0))),
inference(forward_demodulation,[],[f91,f25]) ).
fof(f96,plain,
sF8 = addition(sF7,sF8),
inference(resolution,[],[f56,f35]) ).
fof(f104,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f32,f30]) ).
fof(f108,plain,
! [X0] : multiplication(addition(sF3,X0),sK2) = addition(sF4,multiplication(X0,sK2)),
inference(superposition,[],[f32,f46]) ).
fof(f110,plain,
! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0),
inference(superposition,[],[f32,f30]) ).
fof(f119,plain,
! [X2,X0,X1] :
( multiplication(X1,X2) != multiplication(addition(X0,X1),X2)
| leq(multiplication(X0,X2),multiplication(X1,X2)) ),
inference(superposition,[],[f36,f32]) ).
fof(f128,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(resolution,[],[f38,f35]) ).
fof(f131,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(star(X0),X0),star(X0))),
inference(forward_demodulation,[],[f128,f25]) ).
fof(f136,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f36,f27]) ).
fof(f137,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f136]) ).
fof(f146,plain,
! [X2,X0,X1] :
( leq(multiplication(star(X0),multiplication(X1,X2)),X2)
| ~ leq(multiplication(addition(X0,X1),X2),X2) ),
inference(superposition,[],[f39,f32]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ leq(addition(X0,multiplication(X1,X2)),X2)
| leq(multiplication(star(X1),X0),X2) ),
inference(superposition,[],[f39,f24]) ).
fof(f154,plain,
! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(star(X0),X0))),
inference(superposition,[],[f131,f24]) ).
fof(f183,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f25,f27]) ).
fof(f186,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f25,f31]) ).
fof(f211,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(superposition,[],[f183,f131]) ).
fof(f228,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f31,f29]) ).
fof(f344,plain,
! [X2,X0,X1] :
( ~ leq(addition(X0,multiplication(X1,X2)),X1)
| leq(multiplication(X0,star(X2)),X1) ),
inference(superposition,[],[f40,f24]) ).
fof(f393,plain,
sF3 = addition(one,sF3),
inference(superposition,[],[f211,f44]) ).
fof(f394,plain,
sF5 = addition(one,sF5),
inference(superposition,[],[f211,f48]) ).
fof(f403,plain,
! [X0] : multiplication(sF3,X0) = addition(X0,multiplication(sF3,X0)),
inference(superposition,[],[f104,f393]) ).
fof(f406,plain,
! [X0] : addition(sF3,X0) = addition(one,addition(sF3,X0)),
inference(superposition,[],[f25,f393]) ).
fof(f409,plain,
! [X0] : multiplication(X0,sF5) = addition(X0,multiplication(X0,sF5)),
inference(superposition,[],[f228,f394]) ).
fof(f413,plain,
! [X0] : addition(sF5,X0) = addition(one,addition(sF5,X0)),
inference(superposition,[],[f25,f394]) ).
fof(f467,plain,
multiplication(sF7,sF5) = multiplication(sK0,sF6),
inference(superposition,[],[f74,f50]) ).
fof(f605,plain,
! [X0] : addition(sF8,X0) = addition(sF7,addition(sF8,X0)),
inference(superposition,[],[f25,f96]) ).
fof(f608,plain,
multiplication(sF4,sF5) = multiplication(sF3,sF6),
inference(superposition,[],[f77,f50]) ).
fof(f637,plain,
sF3 = addition(one,addition(multiplication(sK0,sF3),sF3)),
inference(superposition,[],[f95,f44]) ).
fof(f734,plain,
! [X0,X1] : multiplication(addition(one,X0),X1) = addition(multiplication(X0,X1),X1),
inference(superposition,[],[f110,f24]) ).
fof(f769,plain,
! [X0] : star(X0) = addition(one,multiplication(addition(X0,one),star(X0))),
inference(superposition,[],[f95,f110]) ).
fof(f1168,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,addition(X3,X2)),multiplication(X1,X2)) = addition(multiplication(X0,X3),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f186,f32]) ).
fof(f1317,plain,
! [X0,X1] : addition(multiplication(X0,one),multiplication(addition(X0,X1),sF5)) = addition(multiplication(X0,sF5),multiplication(X1,sF5)),
inference(superposition,[],[f1168,f394]) ).
fof(f1477,plain,
! [X0,X1] : multiplication(addition(X0,X1),sF5) = addition(multiplication(X0,one),multiplication(addition(X0,X1),sF5)),
inference(forward_demodulation,[],[f1317,f32]) ).
fof(f1533,plain,
! [X0,X1] : multiplication(addition(X0,X1),sF5) = addition(X0,multiplication(addition(X0,X1),sF5)),
inference(forward_demodulation,[],[f1477,f29]) ).
fof(f1809,plain,
! [X2,X0,X1] :
( ~ leq(multiplication(X0,addition(X1,X2)),X2)
| leq(multiplication(star(X0),multiplication(X0,X1)),X2) ),
inference(superposition,[],[f148,f31]) ).
fof(f2374,plain,
! [X2,X0,X1] :
( ~ leq(multiplication(addition(X0,X1),X2),X2)
| addition(multiplication(star(X0),multiplication(X1,X2)),X2) = X2 ),
inference(resolution,[],[f146,f35]) ).
fof(f2625,plain,
sF5 = addition(one,addition(sF5,multiplication(sF5,sK1))),
inference(superposition,[],[f154,f48]) ).
fof(f2648,plain,
sF5 = addition(sF5,multiplication(sF5,sK1)),
inference(forward_demodulation,[],[f2625,f413]) ).
fof(f3047,plain,
multiplication(sK2,sF5) = addition(sF6,multiplication(sK2,multiplication(sF5,sK1))),
inference(superposition,[],[f57,f2648]) ).
fof(f3075,plain,
multiplication(sK2,sF5) = addition(sF6,multiplication(sF6,sK1)),
inference(forward_demodulation,[],[f3047,f75]) ).
fof(f3077,plain,
sF6 = addition(sF6,multiplication(sF6,sK1)),
inference(forward_demodulation,[],[f3075,f50]) ).
fof(f3309,plain,
sF3 = addition(one,addition(sF3,multiplication(sK0,sF3))),
inference(superposition,[],[f637,f24]) ).
fof(f3332,plain,
sF3 = addition(sF3,multiplication(sK0,sF3)),
inference(forward_demodulation,[],[f3309,f406]) ).
fof(f6172,plain,
! [X0,X1] : multiplication(addition(X0,X1),sF5) = addition(X1,multiplication(addition(X0,X1),sF5)),
inference(superposition,[],[f1533,f24]) ).
fof(f6995,plain,
sF5 = addition(one,multiplication(addition(sK1,one),sF5)),
inference(superposition,[],[f769,f48]) ).
fof(f7040,plain,
sF5 = multiplication(addition(sK1,one),sF5),
inference(forward_demodulation,[],[f6995,f6172]) ).
fof(f7318,plain,
sF5 = addition(sK1,sF5),
inference(superposition,[],[f1533,f7040]) ).
fof(f7372,plain,
multiplication(sK2,sF5) = addition(sF8,multiplication(sK2,sF5)),
inference(superposition,[],[f58,f7318]) ).
fof(f7404,plain,
sF6 = addition(sF8,sF6),
inference(forward_demodulation,[],[f7372,f50]) ).
fof(f7409,plain,
sF6 = addition(sF7,sF6),
inference(superposition,[],[f605,f7404]) ).
fof(f7462,plain,
! [X0] :
( multiplication(sF6,X0) != multiplication(sF6,X0)
| leq(multiplication(sF7,X0),multiplication(sF6,X0)) ),
inference(superposition,[],[f119,f7409]) ).
fof(f7475,plain,
! [X0] : leq(multiplication(sF7,X0),multiplication(sF6,X0)),
inference(trivial_inequality_removal,[],[f7462]) ).
fof(f8386,plain,
multiplication(sF3,sK2) = addition(sF4,multiplication(multiplication(sK0,sF3),sK2)),
inference(superposition,[],[f108,f3332]) ).
fof(f8424,plain,
multiplication(sF3,sK2) = addition(sF4,multiplication(sK0,multiplication(sF3,sK2))),
inference(forward_demodulation,[],[f8386,f28]) ).
fof(f8429,plain,
sF4 = addition(sF4,multiplication(sK0,sF4)),
inference(forward_demodulation,[],[f8424,f46]) ).
fof(f8431,plain,
( ~ leq(sF4,sF4)
| leq(multiplication(star(sK0),sF4),sF4) ),
inference(superposition,[],[f148,f8429]) ).
fof(f8466,plain,
leq(multiplication(star(sK0),sF4),sF4),
inference(forward_subsumption_resolution,[],[f8431,f137]) ).
fof(f8479,plain,
leq(multiplication(sF3,sF4),sF4),
inference(forward_demodulation,[],[f8466,f44]) ).
fof(f8480,plain,
sF4 = addition(multiplication(sF3,sF4),sF4),
inference(resolution,[],[f8479,f35]) ).
fof(f8493,plain,
! [X0] : multiplication(X0,sF4) = multiplication(X0,addition(sF4,multiplication(sF3,sF4))),
inference(superposition,[],[f69,f8480]) ).
fof(f8506,plain,
multiplication(sF4,sF5) = addition(multiplication(sF3,sF4),multiplication(sF4,sF5)),
inference(superposition,[],[f1533,f8480]) ).
fof(f8519,plain,
multiplication(sF3,sF6) = addition(multiplication(sF3,sF4),multiplication(sF3,sF6)),
inference(forward_demodulation,[],[f8506,f608]) ).
fof(f8524,plain,
! [X0] : multiplication(X0,sF4) = multiplication(X0,multiplication(sF3,sF4)),
inference(forward_demodulation,[],[f8493,f403]) ).
fof(f8535,plain,
multiplication(sF3,sF6) = multiplication(sF3,addition(sF4,sF6)),
inference(forward_demodulation,[],[f8519,f31]) ).
fof(f8766,plain,
( ~ leq(sF6,sF6)
| leq(multiplication(sF6,star(sK1)),sF6) ),
inference(superposition,[],[f344,f3077]) ).
fof(f8810,plain,
leq(multiplication(sF6,star(sK1)),sF6),
inference(forward_subsumption_resolution,[],[f8766,f137]) ).
fof(f8813,plain,
leq(multiplication(sF6,sF5),sF6),
inference(forward_demodulation,[],[f8810,f48]) ).
fof(f8816,plain,
sF6 = addition(multiplication(sF6,sF5),sF6),
inference(resolution,[],[f8813,f35]) ).
fof(f10299,plain,
sF6 = addition(sF6,multiplication(sF6,sF5)),
inference(superposition,[],[f24,f8816]) ).
fof(f10336,plain,
sF6 = multiplication(sF6,sF5),
inference(forward_demodulation,[],[f10299,f409]) ).
fof(f15800,plain,
! [X0,X1] : multiplication(star(X0),X1) = addition(multiplication(star(X0),X1),X1),
inference(superposition,[],[f734,f211]) ).
fof(f17993,plain,
( ~ leq(multiplication(sF3,sF6),sF6)
| leq(multiplication(star(sF3),multiplication(sF3,sF4)),sF6) ),
inference(superposition,[],[f1809,f8535]) ).
fof(f18202,plain,
! [X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X1),X1)
| addition(multiplication(star(X0),multiplication(one,X1)),X1) = X1 ),
inference(superposition,[],[f2374,f110]) ).
fof(f18244,plain,
! [X0,X1] :
( addition(multiplication(star(X0),X1),X1) = X1
| ~ leq(addition(multiplication(X0,X1),X1),X1) ),
inference(forward_demodulation,[],[f18202,f30]) ).
fof(f18329,plain,
! [X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X1),X1)
| multiplication(star(X0),X1) = X1 ),
inference(forward_demodulation,[],[f18244,f15800]) ).
fof(f18885,plain,
( ~ leq(sF4,sF4)
| sF4 = multiplication(star(sF3),sF4) ),
inference(superposition,[],[f18329,f8480]) ).
fof(f18896,plain,
sF4 = multiplication(star(sF3),sF4),
inference(forward_subsumption_resolution,[],[f18885,f137]) ).
fof(f21715,plain,
leq(multiplication(sF7,sF5),sF6),
inference(superposition,[],[f7475,f10336]) ).
fof(f21732,plain,
leq(multiplication(sK0,sF6),sF6),
inference(forward_demodulation,[],[f21715,f467]) ).
fof(f21740,plain,
sF6 = addition(multiplication(sK0,sF6),sF6),
inference(resolution,[],[f21732,f35]) ).
fof(f21743,plain,
( ~ leq(sF6,sF6)
| sF6 = multiplication(star(sK0),sF6) ),
inference(superposition,[],[f18329,f21740]) ).
fof(f21817,plain,
sF6 = multiplication(star(sK0),sF6),
inference(forward_subsumption_resolution,[],[f21743,f137]) ).
fof(f21824,plain,
sF6 = multiplication(sF3,sF6),
inference(forward_demodulation,[],[f21817,f44]) ).
fof(f21831,plain,
( ~ leq(sF6,sF6)
| leq(multiplication(star(sF3),multiplication(sF3,sF4)),sF6) ),
inference(forward_demodulation,[],[f17993,f21824]) ).
fof(f21835,plain,
leq(multiplication(star(sF3),multiplication(sF3,sF4)),sF6),
inference(forward_subsumption_resolution,[],[f21831,f137]) ).
fof(f21836,plain,
leq(multiplication(star(sF3),sF4),sF6),
inference(forward_demodulation,[],[f21835,f8524]) ).
fof(f21837,plain,
leq(sF4,sF6),
inference(forward_demodulation,[],[f21836,f18896]) ).
fof(f21838,plain,
$false,
inference(forward_subsumption_resolution,[],[f21837,f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE045+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n007.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % 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 13:05:05 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.60/2.48 % (1401201)Detected formulas, will run a generic FOF schedule.
% 10.60/2.48 % (1401207)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=3938940347:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.60/2.48 % (1401209)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1107471050:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.60/2.48 % (1401208)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=61248589:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.60/2.48 % (1401210)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=262129218:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.60/2.48 % (1401206)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=1110028905:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.60/2.49 % (1401209)Refutation not found, incomplete strategy
% 10.60/2.49 % (1401209)------------------------------
% 10.60/2.49 % (1401209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.49 % (1401209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.49 % (1401209)CaDiCaL version: 2.1.3
% 10.60/2.49 % (1401209)Termination reason: Refutation not found, incomplete strategy
% 10.60/2.49 % (1401209)Time elapsed: 0.001 s
% 10.60/2.49 % (1401209)Peak memory usage: 88 MB
% 10.60/2.49 % (1401211)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=13617797:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.60/2.49 % (1401212)dis-21_1_sil=8000:lcm=predicate:random_seed=370985515: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)
% 10.60/2.49 % (1401212)Refutation not found, incomplete strategy
% 10.60/2.49 % (1401212)------------------------------
% 10.60/2.49 % (1401212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.49 % (1401212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.49 % (1401212)CaDiCaL version: 2.1.3
% 10.60/2.49 % (1401212)Termination reason: Refutation not found, incomplete strategy
% 10.60/2.49 % (1401212)Time elapsed: 0.002 s
% 10.60/2.49 % (1401212)Peak memory usage: 88 MB
% 10.60/2.49 % (1401212)Instructions burned: 1 (million)
% 10.60/2.49 % (1401210)Instruction limit reached!
% 10.60/2.49 % (1401210)------------------------------
% 10.60/2.49 % (1401210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.49 % (1401210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.49 % (1401210)CaDiCaL version: 2.1.3
% 10.60/2.49 % (1401210)Termination reason: Instruction limit
% 10.60/2.49 % (1401210)Termination phase: Saturation
% 10.60/2.49 % (1401210)Time elapsed: 0.069 s
% 10.60/2.49 % (1401210)Peak memory usage: 88 MB
% 10.60/2.49 % (1401210)Instructions burned: 120 (million)
% 10.60/2.49 % (1401211)Instruction limit reached!
% 10.60/2.49 % (1401211)------------------------------
% 10.60/2.49 % (1401211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.49 % (1401211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.60/2.49 % (1401211)CaDiCaL version: 2.1.3
% 10.60/2.49 % (1401211)Termination reason: Instruction limit
% 10.60/2.49 % (1401211)Termination phase: Saturation
% 10.60/2.49 % (1401211)Time elapsed: 0.086 s
% 10.60/2.49 % (1401211)Peak memory usage: 89 MB
% 10.60/2.49 % (1401211)Instructions burned: 140 (million)
% 10.60/2.49 % (1401220)lrs+10_1_sil=8000:sp=occurrence:random_seed=3859207382:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.60/2.49 % (1401209)------------------------------
% 10.60/2.49 % (1401209)------------------------------
% 10.60/2.49 % (1401221)lrs+10_1_sil=32000:urr=on:br=off:random_seed=754829970:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.60/2.49 % (1401212)------------------------------
% 10.60/2.49 % (1401212)------------------------------
% 10.60/2.49 % (1401221)Instruction limit reached!
% 10.60/2.49 % (1401221)------------------------------
% 10.60/2.49 % (1401221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.60/2.49 % (1401221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.65/3.13 % (1401221)CaDiCaL version: 2.1.3
% 15.65/3.13 % (1401221)Termination reason: Instruction limit
% 15.65/3.13 % (1401221)Termination phase: Saturation
% 15.65/3.13 % (1401221)Time elapsed: 0.081 s
% 15.65/3.13 % (1401221)Peak memory usage: 90 MB
% 15.65/3.13 % (1401221)Instructions burned: 158 (million)
% 15.65/3.13 % (1401223)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3326977092:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 15.65/3.13 % (1401220)Instruction limit reached!
% 15.65/3.13 % (1401220)------------------------------
% 15.65/3.13 % (1401220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.65/3.13 % (1401220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.65/3.13 % (1401220)CaDiCaL version: 2.1.3
% 15.65/3.13 % (1401220)Termination reason: Instruction limit
% 15.65/3.13 % (1401220)Termination phase: Saturation
% 15.65/3.13 % (1401220)Time elapsed: 0.182 s
% 15.65/3.13 % (1401220)Peak memory usage: 91 MB
% 15.65/3.13 % (1401220)Instructions burned: 286 (million)
% 15.65/3.13 % (1401225)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=194628952:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 15.65/3.13 % (1401226)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1962470121:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 15.65/3.13 % (1401226)Refutation not found, incomplete strategy
% 15.65/3.13 % (1401226)------------------------------
% 15.65/3.13 % (1401226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.65/3.13 % (1401226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.65/3.13 % (1401226)CaDiCaL version: 2.1.3
% 15.65/3.13 % (1401226)Termination reason: Refutation not found, incomplete strategy
% 15.65/3.13 % (1401226)Time elapsed: 0.002 s
% 15.65/3.13 % (1401226)Peak memory usage: 88 MB
% 15.65/3.13 % (1401226)Instructions burned: 1 (million)
% 15.65/3.13 % (1401228)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2052142613:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 15.65/3.13 % (1401225)Instruction limit reached!
% 15.65/3.13 % (1401225)------------------------------
% 15.65/3.13 % (1401225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.65/3.13 % (1401225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.65/3.13 % (1401225)CaDiCaL version: 2.1.3
% 15.65/3.13 % (1401225)Termination reason: Instruction limit
% 15.65/3.13 % (1401225)Termination phase: Saturation
% 15.65/3.13 % (1401225)Time elapsed: 0.159 s
% 15.65/3.13 % (1401225)Peak memory usage: 92 MB
% 15.65/3.13 % (1401225)Instructions burned: 248 (million)
% 15.65/3.13 % (1401223)Instruction limit reached!
% 15.65/3.13 % (1401223)------------------------------
% 15.65/3.13 % (1401223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.65/3.13 % (1401223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.65/3.13 % (1401223)CaDiCaL version: 2.1.3
% 15.65/3.13 % (1401223)Termination reason: Instruction limit
% 15.65/3.13 % (1401223)Termination phase: Saturation
% 15.65/3.13 % (1401223)Time elapsed: 0.207 s
% 15.65/3.13 % (1401223)Peak memory usage: 93 MB
% 15.65/3.13 % (1401223)Instructions burned: 325 (million)
% 15.65/3.13 % (1401208)Refutation not found, incomplete strategy
% 15.65/3.13 % (1401208)------------------------------
% 15.65/3.13 % (1401208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.65/3.13 % (1401208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.65/3.13 % (1401208)CaDiCaL version: 2.1.3
% 15.65/3.13 % (1401208)Termination reason: Refutation not found, incomplete strategy
% 15.65/3.13 % (1401208)Time elapsed: 0.631 s
% 15.65/3.13 % (1401208)Peak memory usage: 126 MB
% 15.65/3.13 % (1401208)Instructions burned: 906 (million)
% 15.65/3.13 % (1401232)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2995101219:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 15.65/3.13 % (1401226)------------------------------
% 15.65/3.13 % (1401226)------------------------------
% 15.65/3.13 % (1401233)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3445272901:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 15.65/3.13 % (1401233)Refutation not found, incomplete strategy
% 15.65/3.13 % (1401233)------------------------------
% 15.65/3.13 % (1401233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.83/3.48 % (1401233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.83/3.48 % (1401233)CaDiCaL version: 2.1.3
% 17.83/3.48 % (1401233)Termination reason: Refutation not found, incomplete strategy
% 17.83/3.48 % (1401233)Time elapsed: 0.001 s
% 17.83/3.48 % (1401233)Peak memory usage: 88 MB
% 17.83/3.48 % (1401232)Instruction limit reached!
% 17.83/3.48 % (1401232)------------------------------
% 17.83/3.48 % (1401232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.83/3.48 % (1401232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.83/3.48 % (1401232)CaDiCaL version: 2.1.3
% 17.83/3.48 % (1401232)Termination reason: Instruction limit
% 17.83/3.48 % (1401232)Termination phase: Saturation
% 17.83/3.48 % (1401232)Time elapsed: 0.068 s
% 17.83/3.48 % (1401232)Peak memory usage: 89 MB
% 17.83/3.48 % (1401232)Instructions burned: 115 (million)
% 17.83/3.48 % (1401208)------------------------------
% 17.83/3.48 % (1401208)------------------------------
% 17.83/3.48 % (1401235)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1373911298:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 17.83/3.48 % (1401235)Refutation not found, incomplete strategy
% 17.83/3.48 % (1401235)------------------------------
% 17.83/3.48 % (1401235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.83/3.48 % (1401235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.83/3.48 % (1401235)CaDiCaL version: 2.1.3
% 17.83/3.48 % (1401235)Termination reason: Refutation not found, incomplete strategy
% 17.83/3.48 % (1401235)Time elapsed: 0.003 s
% 17.83/3.48 % (1401235)Peak memory usage: 88 MB
% 17.83/3.48 % (1401235)Instructions burned: 2 (million)
% 17.83/3.48 % (1401237)lrs+10_1_sil=8000:sp=occurrence:random_seed=775769199:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 17.83/3.48 % (1401233)------------------------------
% 17.83/3.48 % (1401233)------------------------------
% 17.83/3.48 % (1401238)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2563925683:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 17.83/3.48 % (1401238)Refutation not found, incomplete strategy
% 17.83/3.48 % (1401238)------------------------------
% 17.83/3.48 % (1401238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.83/3.48 % (1401238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.83/3.48 % (1401238)CaDiCaL version: 2.1.3
% 17.83/3.48 % (1401238)Termination reason: Refutation not found, incomplete strategy
% 17.83/3.48 % (1401238)Time elapsed: 0.001 s
% 17.83/3.48 % (1401238)Peak memory usage: 88 MB
% 17.83/3.48 % (1401235)------------------------------
% 17.83/3.48 % (1401235)------------------------------
% 17.83/3.48 % (1401241)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=261938523:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 17.83/3.48 % (1401238)------------------------------
% 17.83/3.48 % (1401238)------------------------------
% 17.83/3.48 % (1401243)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3577452937:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 17.83/3.48 % (1401243)Refutation not found, incomplete strategy
% 17.83/3.48 % (1401243)------------------------------
% 17.83/3.48 % (1401243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.83/3.48 % (1401243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.83/3.48 % (1401243)CaDiCaL version: 2.1.3
% 17.83/3.48 % (1401243)Termination reason: Refutation not found, incomplete strategy
% 17.83/3.48 % (1401243)Time elapsed: 0.002 s
% 17.83/3.48 % (1401243)Peak memory usage: 89 MB
% 17.83/3.48 % (1401243)Instructions burned: 1 (million)
% 17.83/3.48 % (1401245)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1971436038:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 17.83/3.48 % (1401245)Refutation not found, incomplete strategy
% 17.83/3.48 % (1401245)------------------------------
% 17.83/3.48 % (1401245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.83/3.48 % (1401245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.83/3.48 % (1401245)CaDiCaL version: 2.1.3
% 17.83/3.48 % (1401245)Termination reason: Refutation not found, incomplete strategy
% 17.83/3.48 % (1401245)Time elapsed: 0.001 s
% 17.83/3.48 % (1401245)Peak memory usage: 88 MB
% 17.83/3.48 % (1401245)Instructions burned: 1 (million)
% 17.83/3.48 % (1401237)Instruction limit reached!
% 17.83/3.48 % (1401237)------------------------------
% 17.83/3.48 % (1401237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.83/3.48 % (1401237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.83/3.48 % (1401237)CaDiCaL version: 2.1.3
% 17.83/3.48 % (1401237)Termination reason: Instruction limit
% 17.83/3.48 % (1401237)Termination phase: Saturation
% 17.83/3.48 % (1401237)Time elapsed: 0.548 s
% 17.83/3.48 % (1401237)Peak memory usage: 96 MB
% 17.83/3.48 % (1401237)Instructions burned: 907 (million)
% 17.83/3.48 % (1401243)------------------------------
% 17.83/3.48 % (1401243)------------------------------
% 17.83/3.48 % (1401248)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3632230345:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 17.83/3.48 % (1401245)------------------------------
% 17.83/3.48 % (1401245)------------------------------
% 17.83/3.48 % (1401249)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=4100552481:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 17.83/3.48 % (1401249)Instruction limit reached!
% 17.83/3.48 % (1401249)------------------------------
% 17.83/3.48 % (1401249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.83/3.48 % (1401249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.83/3.48 % (1401249)CaDiCaL version: 2.1.3
% 17.83/3.48 % (1401249)Termination reason: Instruction limit
% 17.83/3.48 % (1401249)Termination phase: Saturation
% 17.83/3.48 % (1401249)Time elapsed: 0.085 s
% 17.83/3.48 % (1401249)Peak memory usage: 90 MB
% 17.83/3.48 % (1401249)Instructions burned: 125 (million)
% 17.83/3.48 % (1401251)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2389316052:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 17.83/3.48 % (1401251)Instruction limit reached!
% 17.83/3.48 % (1401251)------------------------------
% 17.83/3.48 % (1401251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.83/3.48 % (1401251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.83/3.48 % (1401251)CaDiCaL version: 2.1.3
% 17.83/3.48 % (1401251)Termination reason: Instruction limit
% 17.83/3.48 % (1401251)Termination phase: Saturation
% 17.83/3.48 % (1401251)Time elapsed: 0.084 s
% 17.83/3.48 % (1401251)Peak memory usage: 90 MB
% 17.83/3.48 % (1401251)Instructions burned: 134 (million)
% 17.83/3.48 % (1401253)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=208132879:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 17.83/3.48 % (1401253)Refutation not found, incomplete strategy
% 17.83/3.48 % (1401253)------------------------------
% 17.83/3.48 % (1401253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.83/3.48 % (1401253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.83/3.48 % (1401253)CaDiCaL version: 2.1.3
% 17.83/3.48 % (1401253)Termination reason: Refutation not found, incomplete strategy
% 17.83/3.48 % (1401253)Time elapsed: 0.001 s
% 17.83/3.48 % (1401253)Peak memory usage: 88 MB
% 17.83/3.48 % (1401228)Instruction limit reached!
% 17.83/3.48 % (1401228)------------------------------
% 17.83/3.48 % (1401228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.83/3.48 % (1401228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.83/3.48 % (1401228)CaDiCaL version: 2.1.3
% 17.83/3.48 % (1401228)Termination reason: Instruction limit
% 17.83/3.48 % (1401228)Termination phase: Saturation
% 17.83/3.48 % (1401228)Time elapsed: 1.458 s
% 17.83/3.48 % (1401228)Peak memory usage: 144 MB
% 17.83/3.48 % (1401228)Instructions burned: 2351 (million)
% 17.83/3.48 % (1401255)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2749345001:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 17.83/3.48 % (1401255)Refutation not found, incomplete strategy
% 17.83/3.48 % (1401255)------------------------------
% 17.83/3.48 % (1401255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.83/3.48 % (1401255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.83/3.48 % (1401255)CaDiCaL version: 2.1.3
% 17.83/3.48 % (1401255)Termination reason: Refutation not found, incomplete strategy
% 17.83/3.48 % (1401255)Time elapsed: 0.001 s
% 17.83/3.49 % (1401255)Peak memory usage: 88 MB
% 17.83/3.49 % (1401206)First to succeed.
% 17.83/3.49 % (1401206)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1401201"
% 17.83/3.49 % (1401257)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1917300108:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 17.83/3.49 % (1401253)------------------------------
% 17.83/3.49 % (1401253)------------------------------
% 17.83/3.49 % (1401255)------------------------------
% 17.83/3.49 % (1401255)------------------------------
% 17.83/3.49 % (1401260)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2601916323:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2975 on theBenchmark for (2975ds/150Mi)
% 17.83/3.49 % (1401207)Also succeeded, but the first one will report.
% 17.83/3.49 % (1401206)Refutation found. Thanks to Tanya!
% 17.83/3.49 % SZS status Theorem for theBenchmark
% 17.83/3.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/3.70 % (1401206)------------------------------
% 0.16/3.70 % (1401206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/3.70 % (1401206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/3.70 % (1401206)CaDiCaL version: 2.1.3
% 0.16/3.70 % (1401206)Termination reason: Refutation
% 0.16/3.70 % (1401206)Time elapsed: 2.182 s
% 0.16/3.70 % (1401206)Peak memory usage: 154 MB
% 0.16/3.70 % (1401206)Instructions burned: 3512 (million)
% 0.16/3.70 % (1401206)------------------------------
% 0.16/3.70 % (1401206)------------------------------
% 0.16/3.70 % (1401201)Success in time 2.611 s
% 0.16/3.70 % Vampire exiting
%------------------------------------------------------------------------------