%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE170+1.006 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:41:02 AM UTC 2026
% Result : Theorem 34.77s 5.47s
% Output : Refutation 34.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 19
% Syntax : Number of formulae : 143 ( 126 unt; 6 def)
% Number of atoms : 162 ( 108 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 20 ~; 16 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 106 ( 106 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE002+0.ax',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/KLE002+0.ax',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',order) ).
fof(f13,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_unfold_right) ).
fof(f14,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE002+0.ax',star_induction_left) ).
fof(f17,conjecture,
leq(multiplication(a,multiplication(a,multiplication(a,multiplication(a,multiplication(a,a))))),star(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a) ).
fof(f18,negated_conjecture,
~ leq(multiplication(a,multiplication(a,multiplication(a,multiplication(a,multiplication(a,a))))),star(a)),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
~ leq(multiplication(a,multiplication(a,multiplication(a,multiplication(a,multiplication(a,a))))),star(a)),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X2),X1)
| ~ leq(addition(multiplication(X0,X1),X2),X1) ),
inference(ennf_transformation,[],[f15]) ).
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,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f24,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f27,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f28,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f29,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f30,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f35,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f36,plain,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f37,plain,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),X2),X1)
| leq(multiplication(star(X0),X2),X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f40,plain,
~ leq(multiplication(a,multiplication(a,multiplication(a,multiplication(a,multiplication(a,a))))),star(a)),
inference(cnf_transformation,[],[f19]) ).
fof(f41,definition,
sF0 = multiplication(a,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f42,plain,
multiplication(a,a) = sF0,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF1 = multiplication(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f44,plain,
multiplication(a,sF0) = sF1,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF2 = multiplication(a,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f46,plain,
multiplication(a,sF1) = sF2,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF3 = multiplication(a,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f48,plain,
multiplication(a,sF2) = sF3,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF4 = multiplication(a,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f50,plain,
multiplication(a,sF3) = sF4,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF5 = star(a),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f52,plain,
star(a) = sF5,
inference(reorient_equations,[],[f51]) ).
fof(f53,plain,
~ leq(sF4,sF5),
inference(definition_folding,[],[f40,f52,f50,f48,f46,f44,f42]) ).
fof(f69,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(resolution,[],[f36,f34]) ).
fof(f72,plain,
leq(addition(one,multiplication(a,sF5)),sF5),
inference(superposition,[],[f36,f52]) ).
fof(f74,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f69,f23]) ).
fof(f79,plain,
leq(addition(one,multiplication(sF5,a)),sF5),
inference(superposition,[],[f37,f52]) ).
fof(f84,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f24,f26]) ).
fof(f86,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f24,f23]) ).
fof(f94,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1))),
inference(superposition,[],[f26,f24]) ).
fof(f97,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f23,f24]) ).
fof(f106,plain,
! [X0] : multiplication(a,multiplication(a,X0)) = multiplication(sF0,X0),
inference(superposition,[],[f27,f42]) ).
fof(f107,plain,
! [X0] : multiplication(a,multiplication(sF0,X0)) = multiplication(sF1,X0),
inference(superposition,[],[f27,f44]) ).
fof(f123,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f30,f28]) ).
fof(f129,plain,
! [X0] : multiplication(a,addition(sF0,X0)) = addition(sF1,multiplication(a,X0)),
inference(superposition,[],[f30,f44]) ).
fof(f178,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f31,f29]) ).
fof(f201,plain,
! [X2,X0,X1] :
( multiplication(X1,X2) != multiplication(addition(X0,X1),X2)
| leq(multiplication(X0,X2),multiplication(X1,X2)) ),
inference(superposition,[],[f35,f31]) ).
fof(f220,plain,
sF5 = addition(addition(one,multiplication(a,sF5)),sF5),
inference(resolution,[],[f72,f34]) ).
fof(f221,plain,
sF5 = addition(one,addition(multiplication(a,sF5),sF5)),
inference(forward_demodulation,[],[f220,f24]) ).
fof(f222,plain,
sF5 = addition(one,addition(sF5,multiplication(a,sF5))),
inference(forward_demodulation,[],[f221,f23]) ).
fof(f223,plain,
sF5 = addition(one,multiplication(addition(one,a),sF5)),
inference(forward_demodulation,[],[f222,f178]) ).
fof(f224,plain,
sF5 = addition(one,multiplication(addition(a,one),sF5)),
inference(forward_demodulation,[],[f223,f23]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ leq(addition(X0,multiplication(X1,X2)),X2)
| leq(multiplication(star(X1),X0),X2) ),
inference(superposition,[],[f38,f23]) ).
fof(f249,plain,
sF5 = addition(addition(one,multiplication(sF5,a)),sF5),
inference(resolution,[],[f79,f34]) ).
fof(f250,plain,
sF5 = addition(one,addition(multiplication(sF5,a),sF5)),
inference(forward_demodulation,[],[f249,f24]) ).
fof(f251,plain,
sF5 = addition(one,addition(sF5,multiplication(sF5,a))),
inference(forward_demodulation,[],[f250,f23]) ).
fof(f252,plain,
sF5 = addition(one,multiplication(sF5,addition(one,a))),
inference(forward_demodulation,[],[f251,f123]) ).
fof(f253,plain,
sF5 = addition(one,multiplication(sF5,addition(a,one))),
inference(forward_demodulation,[],[f252,f23]) ).
fof(f310,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f35,f84]) ).
fof(f314,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f310]) ).
fof(f323,plain,
multiplication(a,sF0) = multiplication(sF0,a),
inference(superposition,[],[f106,f42]) ).
fof(f325,plain,
multiplication(a,sF2) = multiplication(sF0,sF1),
inference(superposition,[],[f106,f46]) ).
fof(f344,plain,
sF3 = multiplication(sF0,sF1),
inference(forward_demodulation,[],[f325,f48]) ).
fof(f346,plain,
sF1 = multiplication(sF0,a),
inference(forward_demodulation,[],[f323,f44]) ).
fof(f419,plain,
multiplication(a,sF3) = multiplication(sF1,sF1),
inference(superposition,[],[f107,f344]) ).
fof(f429,plain,
sF4 = multiplication(sF1,sF1),
inference(forward_demodulation,[],[f419,f50]) ).
fof(f666,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f24,f86]) ).
fof(f861,plain,
! [X2,X0,X1] : leq(X1,addition(X0,addition(X1,X2))),
inference(superposition,[],[f314,f97]) ).
fof(f974,plain,
multiplication(a,addition(one,a)) = addition(a,sF0),
inference(superposition,[],[f123,f42]) ).
fof(f979,plain,
multiplication(sF0,addition(one,a)) = addition(sF0,sF1),
inference(superposition,[],[f123,f346]) ).
fof(f986,plain,
multiplication(sF1,addition(one,sF1)) = addition(sF1,sF4),
inference(superposition,[],[f123,f429]) ).
fof(f1037,plain,
addition(sF0,sF1) = multiplication(sF0,addition(a,one)),
inference(forward_demodulation,[],[f979,f23]) ).
fof(f1038,plain,
addition(a,sF0) = multiplication(a,addition(a,one)),
inference(forward_demodulation,[],[f974,f23]) ).
fof(f3268,plain,
! [X0] : leq(one,star(X0)),
inference(superposition,[],[f861,f74]) ).
fof(f3345,plain,
leq(one,sF5),
inference(superposition,[],[f3268,f52]) ).
fof(f3430,plain,
sF5 = addition(one,sF5),
inference(resolution,[],[f3345,f34]) ).
fof(f3508,plain,
! [X0] : addition(sF5,X0) = addition(sF5,addition(one,X0)),
inference(superposition,[],[f86,f3430]) ).
fof(f3523,plain,
! [X0] : addition(sF5,X0) = addition(one,addition(X0,sF5)),
inference(forward_demodulation,[],[f3508,f97]) ).
fof(f3994,plain,
! [X0] :
( ~ leq(multiplication(a,addition(sF0,X0)),X0)
| leq(multiplication(star(a),sF1),X0) ),
inference(superposition,[],[f240,f129]) ).
fof(f4015,plain,
! [X0] :
( ~ leq(multiplication(a,addition(sF0,X0)),X0)
| leq(multiplication(sF5,sF1),X0) ),
inference(forward_demodulation,[],[f3994,f52]) ).
fof(f6674,plain,
sF5 = addition(one,addition(multiplication(addition(a,one),sF5),sF5)),
inference(superposition,[],[f94,f224]) ).
fof(f6696,plain,
sF5 = addition(sF5,multiplication(addition(a,one),sF5)),
inference(forward_demodulation,[],[f6674,f3523]) ).
fof(f6705,plain,
sF5 = multiplication(addition(one,addition(a,one)),sF5),
inference(forward_demodulation,[],[f6696,f178]) ).
fof(f6712,plain,
sF5 = multiplication(addition(a,addition(one,one)),sF5),
inference(forward_demodulation,[],[f6705,f97]) ).
fof(f6717,plain,
sF5 = multiplication(addition(a,one),sF5),
inference(forward_demodulation,[],[f6712,f26]) ).
fof(f6732,plain,
sF5 = addition(one,addition(multiplication(sF5,addition(a,one)),sF5)),
inference(superposition,[],[f94,f253]) ).
fof(f6754,plain,
sF5 = addition(sF5,multiplication(sF5,addition(a,one))),
inference(forward_demodulation,[],[f6732,f3523]) ).
fof(f6763,plain,
sF5 = multiplication(sF5,addition(one,addition(a,one))),
inference(forward_demodulation,[],[f6754,f123]) ).
fof(f6770,plain,
sF5 = multiplication(sF5,addition(a,addition(one,one))),
inference(forward_demodulation,[],[f6763,f97]) ).
fof(f6775,plain,
sF5 = multiplication(sF5,addition(a,one)),
inference(forward_demodulation,[],[f6770,f26]) ).
fof(f6781,plain,
( sF5 != multiplication(one,sF5)
| leq(multiplication(a,sF5),multiplication(one,sF5)) ),
inference(superposition,[],[f201,f6717]) ).
fof(f6793,plain,
multiplication(addition(a,one),addition(one,sF5)) = addition(addition(a,one),sF5),
inference(superposition,[],[f123,f6717]) ).
fof(f6830,plain,
multiplication(addition(a,one),addition(one,sF5)) = addition(a,addition(one,sF5)),
inference(forward_demodulation,[],[f6793,f24]) ).
fof(f6835,plain,
leq(multiplication(a,sF5),multiplication(one,sF5)),
inference(forward_subsumption_resolution,[],[f6781,f29]) ).
fof(f6843,plain,
multiplication(addition(a,one),sF5) = addition(a,sF5),
inference(forward_demodulation,[],[f6830,f3430]) ).
fof(f6846,plain,
leq(multiplication(a,sF5),sF5),
inference(forward_demodulation,[],[f6835,f29]) ).
fof(f6851,plain,
sF5 = addition(a,sF5),
inference(forward_demodulation,[],[f6843,f6717]) ).
fof(f7187,plain,
! [X0] : addition(sF5,X0) = addition(sF5,addition(a,X0)),
inference(superposition,[],[f86,f6851]) ).
fof(f7193,plain,
! [X0] :
( multiplication(sF5,X0) != multiplication(sF5,X0)
| leq(multiplication(a,X0),multiplication(sF5,X0)) ),
inference(superposition,[],[f201,f6851]) ).
fof(f7204,plain,
! [X0] : leq(multiplication(a,X0),multiplication(sF5,X0)),
inference(trivial_inequality_removal,[],[f7193]) ).
fof(f7211,plain,
! [X0] : addition(sF5,X0) = addition(a,addition(X0,sF5)),
inference(forward_demodulation,[],[f7187,f97]) ).
fof(f11496,plain,
leq(multiplication(a,addition(a,one)),sF5),
inference(superposition,[],[f7204,f6775]) ).
fof(f11503,plain,
leq(addition(a,sF0),sF5),
inference(forward_demodulation,[],[f11496,f1038]) ).
fof(f11510,plain,
sF5 = addition(addition(a,sF0),sF5),
inference(resolution,[],[f11503,f34]) ).
fof(f11511,plain,
sF5 = addition(a,addition(sF0,sF5)),
inference(forward_demodulation,[],[f11510,f24]) ).
fof(f11512,plain,
sF5 = addition(sF5,sF0),
inference(forward_demodulation,[],[f11511,f7211]) ).
fof(f11513,plain,
sF5 = addition(sF0,sF5),
inference(forward_demodulation,[],[f11512,f23]) ).
fof(f11539,plain,
! [X0] : addition(sF5,X0) = addition(sF5,addition(sF0,X0)),
inference(superposition,[],[f86,f11513]) ).
fof(f11545,plain,
! [X0] :
( multiplication(sF5,X0) != multiplication(sF5,X0)
| leq(multiplication(sF0,X0),multiplication(sF5,X0)) ),
inference(superposition,[],[f201,f11513]) ).
fof(f11560,plain,
! [X0] : leq(multiplication(sF0,X0),multiplication(sF5,X0)),
inference(trivial_inequality_removal,[],[f11545]) ).
fof(f11569,plain,
! [X0] : addition(sF5,X0) = addition(sF0,addition(X0,sF5)),
inference(forward_demodulation,[],[f11539,f97]) ).
fof(f19103,plain,
leq(multiplication(sF0,addition(a,one)),sF5),
inference(superposition,[],[f11560,f6775]) ).
fof(f19112,plain,
leq(addition(sF0,sF1),sF5),
inference(forward_demodulation,[],[f19103,f1037]) ).
fof(f20113,plain,
sF5 = addition(addition(sF0,sF1),sF5),
inference(resolution,[],[f19112,f34]) ).
fof(f20114,plain,
sF5 = addition(sF0,addition(sF1,sF5)),
inference(forward_demodulation,[],[f20113,f24]) ).
fof(f20117,plain,
sF5 = addition(sF5,sF1),
inference(forward_demodulation,[],[f20114,f11569]) ).
fof(f20120,plain,
sF5 = addition(sF1,sF5),
inference(forward_demodulation,[],[f20117,f23]) ).
fof(f20596,plain,
! [X0] :
( multiplication(sF5,X0) != multiplication(sF5,X0)
| leq(multiplication(sF1,X0),multiplication(sF5,X0)) ),
inference(superposition,[],[f201,f20120]) ).
fof(f20607,plain,
! [X0] : addition(X0,sF5) = addition(sF1,addition(X0,sF5)),
inference(superposition,[],[f666,f20120]) ).
fof(f20623,plain,
! [X0] : leq(multiplication(sF1,X0),multiplication(sF5,X0)),
inference(trivial_inequality_removal,[],[f20596]) ).
fof(f24332,plain,
( ~ leq(multiplication(a,sF5),sF5)
| leq(multiplication(sF5,sF1),sF5) ),
inference(superposition,[],[f4015,f11513]) ).
fof(f24365,plain,
leq(multiplication(sF5,sF1),sF5),
inference(forward_subsumption_resolution,[],[f24332,f6846]) ).
fof(f24371,plain,
sF5 = addition(multiplication(sF5,sF1),sF5),
inference(resolution,[],[f24365,f34]) ).
fof(f24372,plain,
sF5 = addition(sF5,multiplication(sF5,sF1)),
inference(forward_demodulation,[],[f24371,f23]) ).
fof(f24375,plain,
sF5 = multiplication(sF5,addition(one,sF1)),
inference(forward_demodulation,[],[f24372,f123]) ).
fof(f24404,plain,
leq(multiplication(sF1,addition(one,sF1)),sF5),
inference(superposition,[],[f20623,f24375]) ).
fof(f24462,plain,
leq(addition(sF1,sF4),sF5),
inference(forward_demodulation,[],[f24404,f986]) ).
fof(f25466,plain,
sF5 = addition(addition(sF1,sF4),sF5),
inference(resolution,[],[f24462,f34]) ).
fof(f25467,plain,
sF5 = addition(sF1,addition(sF4,sF5)),
inference(forward_demodulation,[],[f25466,f24]) ).
fof(f25470,plain,
sF5 = addition(sF4,sF5),
inference(forward_demodulation,[],[f25467,f20607]) ).
fof(f27679,plain,
leq(sF4,sF5),
inference(superposition,[],[f314,f25470]) ).
fof(f27718,plain,
$false,
inference(forward_subsumption_resolution,[],[f27679,f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE170+1.006 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 % Computer : n004.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Sun Sep 27 13:15:07 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44 Running first-order model finding
% 0.12/0.44 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.79/2.46 % (3518502)Will run a generic schedule for satisfiability detection.
% 13.79/2.46 % (3518511)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1784943030:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.79/2.46 % (3518508)% WARNING: option uhcvi not known.
% 13.79/2.46 % (3518507)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1967882584_2999 on theBenchmark for (2999ds/0Mi)
% 13.79/2.46 % (3518509)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1006456984:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.79/2.46 % (3518513)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=518118355:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.79/2.46 % (3518508)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3569460714:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.79/2.46 % (3518510)dis+10_1_sil=32000:sp=arity:random_seed=2052073169:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.79/2.46 % (3518512)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3254205608:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.79/2.46 % TRYING [1]
% 13.79/2.46 % TRYING [2]
% 13.79/2.46 % TRYING [3]
% 13.79/2.46 % TRYING [4]
% 13.79/2.46 % TRYING [5]
% 13.79/2.46 % (3518511)Instruction limit reached!
% 13.79/2.46 % (3518511)------------------------------
% 13.79/2.46 % (3518511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.79/2.46 % (3518511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/2.46 % (3518511)CaDiCaL version: 2.1.3
% 13.79/2.46 % (3518511)Termination reason: Instruction limit
% 13.79/2.46 % (3518511)Termination phase: Saturation
% 13.79/2.46 % (3518511)Time elapsed: 0.040 s
% 13.79/2.46 % (3518511)Peak memory usage: 13 MB
% 13.79/2.46 % (3518511)Instructions burned: 119 (million)
% 13.79/2.46 % (3518521)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1376106089:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.79/2.46 % TRYING [1]
% 13.79/2.46 % TRYING [2]
% 13.79/2.46 % TRYING [3]
% 13.79/2.46 % TRYING [4]
% 13.79/2.46 % (3518510)Instruction limit reached!
% 13.79/2.46 % (3518510)------------------------------
% 13.79/2.46 % (3518510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.79/2.46 % (3518510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/2.46 % (3518510)CaDiCaL version: 2.1.3
% 13.79/2.46 % (3518510)Termination reason: Instruction limit
% 13.79/2.46 % (3518510)Termination phase: Saturation
% 13.79/2.46 % (3518510)Time elapsed: 0.063 s
% 13.79/2.46 % (3518510)Peak memory usage: 12 MB
% 13.79/2.46 % (3518510)Instructions burned: 104 (million)
% 13.79/2.46 % TRYING [5]
% 13.79/2.46 % (3518512)Instruction limit reached!
% 13.79/2.46 % (3518512)------------------------------
% 13.79/2.46 % (3518512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.79/2.46 % (3518512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/2.46 % (3518512)CaDiCaL version: 2.1.3
% 13.79/2.46 % (3518512)Termination reason: Instruction limit
% 13.79/2.46 % (3518512)Termination phase: Saturation
% 13.79/2.46 % (3518512)Time elapsed: 0.076 s
% 13.79/2.46 % (3518512)Peak memory usage: 12 MB
% 13.79/2.46 % (3518512)Instructions burned: 131 (million)
% 13.79/2.46 % (3518523)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1913833289:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.79/2.46 % (3518524)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=1000235947:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.79/2.46 % TRYING [6]
% 13.79/2.46 % (3518513)Instruction limit reached!
% 13.79/2.46 % (3518513)------------------------------
% 13.79/2.46 % (3518513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.79/2.46 % (3518513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/2.46 % (3518513)CaDiCaL version: 2.1.3
% 13.79/2.46 % (3518513)Termination reason: Instruction limit
% 13.79/2.46 % (3518513)Termination phase: Saturation
% 13.79/2.46 % (3518513)Time elapsed: 0.100 s
% 13.79/2.46 % (3518513)Peak memory usage: 12 MB
% 13.79/2.46 % (3518513)Instructions burned: 160 (million)
% 13.79/2.46 % TRYING [6]
% 13.79/2.46 % (3518527)ott-21_1_sil=16000:fs=off:random_seed=1920144522:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.79/2.46 % (3518523)Instruction limit reached!
% 13.79/2.46 % (3518523)------------------------------
% 13.79/2.46 % (3518523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.77/5.47 % (3518523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.77/5.47 % (3518523)CaDiCaL version: 2.1.3
% 34.77/5.47 % (3518523)Termination reason: Instruction limit
% 34.77/5.47 % (3518523)Termination phase: Saturation
% 34.77/5.47 % (3518523)Time elapsed: 0.089 s
% 34.77/5.47 % (3518523)Peak memory usage: 13 MB
% 34.77/5.47 % (3518523)Instructions burned: 132 (million)
% 34.77/5.47 % (3518529)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1527425034:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 34.77/5.47 % (3518527)Instruction limit reached!
% 34.77/5.47 % (3518527)------------------------------
% 34.77/5.47 % (3518527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.77/5.47 % (3518527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.77/5.47 % (3518527)CaDiCaL version: 2.1.3
% 34.77/5.47 % (3518527)Termination reason: Instruction limit
% 34.77/5.47 % (3518527)Termination phase: Saturation
% 34.77/5.47 % (3518527)Time elapsed: 0.075 s
% 34.77/5.47 % (3518527)Peak memory usage: 11 MB
% 34.77/5.47 % (3518527)Instructions burned: 182 (million)
% 34.77/5.47 % (3518531)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=862662086:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 34.77/5.47 % TRYING [1]
% 34.77/5.47 % TRYING [2]
% 34.77/5.47 % TRYING [3]
% 34.77/5.47 % (3518521)Instruction limit reached!
% 34.77/5.47 % (3518521)------------------------------
% 34.77/5.47 % (3518521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.77/5.47 % (3518521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.77/5.47 % (3518521)CaDiCaL version: 2.1.3
% 34.77/5.47 % (3518521)Termination reason: Instruction limit
% 34.77/5.47 % (3518521)Termination phase: Finite model building SAT solving
% 34.77/5.47 % (3518521)Time elapsed: 0.182 s
% 34.77/5.47 % (3518521)Peak memory usage: 31 MB
% 34.77/5.47 % (3518521)Instructions burned: 715 (million)
% 34.77/5.47 % TRYING [4]
% 34.77/5.47 % (3518533)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=922051640:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 34.77/5.47 % TRYING [5]
% 34.77/5.47 % TRYING [7]
% 34.77/5.47 % TRYING [6]
% 34.77/5.47 % (3518524)Instruction limit reached!
% 34.77/5.47 % (3518524)------------------------------
% 34.77/5.47 % (3518524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.77/5.47 % (3518524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.77/5.47 % (3518524)CaDiCaL version: 2.1.3
% 34.77/5.47 % (3518524)Termination reason: Instruction limit
% 34.77/5.47 % (3518524)Termination phase: Saturation
% 34.77/5.47 % (3518524)Time elapsed: 0.345 s
% 34.77/5.47 % (3518524)Peak memory usage: 17 MB
% 34.77/5.47 % (3518524)Instructions burned: 685 (million)
% 34.77/5.47 % (3518535)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=290488769:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 34.77/5.47 % (3518529)Instruction limit reached!
% 34.77/5.47 % (3518529)------------------------------
% 34.77/5.47 % (3518529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.77/5.47 % (3518529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.77/5.47 % (3518529)CaDiCaL version: 2.1.3
% 34.77/5.47 % (3518529)Termination reason: Instruction limit
% 34.77/5.47 % (3518529)Termination phase: Saturation
% 34.77/5.47 % (3518529)Time elapsed: 0.299 s
% 34.77/5.47 % (3518529)Peak memory usage: 14 MB
% 34.77/5.47 % (3518529)Instructions burned: 478 (million)
% 34.77/5.47 % (3518537)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=2998832062: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)
% 34.77/5.47 % (3518531)Instruction limit reached!
% 34.77/5.47 % (3518531)------------------------------
% 34.77/5.47 % (3518531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.77/5.47 % (3518531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.77/5.47 % (3518531)CaDiCaL version: 2.1.3
% 34.77/5.47 % (3518531)Termination reason: Instruction limit
% 34.77/5.47 % (3518531)Termination phase: Finite model building SAT solving
% 34.77/5.47 % (3518531)Time elapsed: 0.334 s
% 34.77/5.47 % (3518531)Peak memory usage: 25 MB
% 34.77/5.47 % (3518531)Instructions burned: 866 (million)
% 34.77/5.47 % (3518539)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2063570151:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 34.77/5.47 % (3518533)Instruction limit reached!
% 34.77/5.47 % (3518533)------------------------------
% 34.77/5.47 % (3518533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.77/5.47 % (3518533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.77/5.47 % (3518533)CaDiCaL version: 2.1.3
% 34.77/5.47 % (3518533)Termination reason: Instruction limit
% 34.77/5.47 % (3518533)Termination phase: Saturation
% 34.77/5.47 % (3518533)Time elapsed: 0.349 s
% 34.77/5.47 % (3518533)Peak memory usage: 19 MB
% 34.77/5.47 % (3518533)Instructions burned: 1181 (million)
% 34.77/5.47 % TRYING [14]
% 34.77/5.47 % (3518541)fmb+10_1_sil=64000:random_seed=437328628:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 34.77/5.47 % TRYING [1]
% 34.77/5.47 % TRYING [2]
% 34.77/5.47 % TRYING [3]
% 34.77/5.47 % TRYING [4]
% 34.77/5.47 % TRYING [5]
% 34.77/5.47 % TRYING [6]
% 34.77/5.47 % (3518535)Instruction limit reached!
% 34.77/5.47 % (3518535)------------------------------
% 34.77/5.47 % (3518535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.77/5.47 % (3518535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.77/5.47 % (3518535)CaDiCaL version: 2.1.3
% 34.77/5.47 % (3518535)Termination reason: Instruction limit
% 34.77/5.47 % (3518535)Termination phase: Finite model building constraint generation
% 34.77/5.47 % (3518535)Time elapsed: 0.341 s
% 34.77/5.47 % (3518535)Peak memory usage: 81 MB
% 34.77/5.47 % (3518535)Instructions burned: 892 (million)
% 34.77/5.47 % (3518543)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=695733603:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 34.77/5.47 % TRYING [20]
% 34.77/5.47 % TRYING [7]
% 34.77/5.47 % (3518537)Instruction limit reached!
% 34.77/5.47 % (3518537)------------------------------
% 34.77/5.47 % (3518537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.77/5.47 % (3518537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.77/5.47 % (3518537)CaDiCaL version: 2.1.3
% 34.77/5.47 % (3518537)Termination reason: Instruction limit
% 34.77/5.47 % (3518537)Termination phase: Saturation
% 34.77/5.47 % (3518537)Time elapsed: 0.379 s
% 34.77/5.47 % (3518537)Peak memory usage: 16 MB
% 34.77/5.47 % (3518537)Instructions burned: 693 (million)
% 34.77/5.47 % (3518545)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=76728715:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 34.77/5.47 % TRYING [8]
% 34.77/5.47 % (3518539)Instruction limit reached!
% 34.77/5.47 % (3518539)------------------------------
% 34.77/5.47 % (3518539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.77/5.47 % (3518539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.77/5.47 % (3518539)CaDiCaL version: 2.1.3
% 34.77/5.47 % (3518539)Termination reason: Instruction limit
% 34.77/5.47 % (3518539)Termination phase: Saturation
% 34.77/5.47 % (3518539)Time elapsed: 0.517 s
% 34.77/5.47 % (3518539)Peak memory usage: 19 MB
% 34.77/5.47 % (3518539)Instructions burned: 880 (million)
% 34.77/5.47 % (3518547)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2151427010:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 34.77/5.47 % TRYING [8]
% 34.77/5.47 % (3518545)Instruction limit reached!
% 34.77/5.47 % (3518545)------------------------------
% 34.77/5.47 % (3518545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.77/5.47 % (3518545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.77/5.47 % (3518545)CaDiCaL version: 2.1.3
% 34.77/5.47 % (3518545)Termination reason: Instruction limit
% 34.77/5.47 % (3518545)Termination phase: Finite model building constraint generation
% 34.77/5.47 % (3518545)Time elapsed: 0.350 s
% 34.77/5.47 % (3518545)Peak memory usage: 66 MB
% 34.77/5.47 % (3518545)Instructions burned: 920 (million)
% 34.77/5.47 % (3518549)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=748727453:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 34.77/5.47 % TRYING [8]
% 34.77/5.47 % (3518549)Instruction limit reached!
% 34.77/5.47 % (3518549)------------------------------
% 34.77/5.47 % (3518549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.77/5.47 % (3518549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.77/5.47 % (3518549)CaDiCaL version: 2.1.3
% 34.77/5.47 % (3518549)Termination reason: Instruction limit
% 34.77/5.47 % (3518549)Termination phase: Saturation
% 34.77/5.47 % (3518549)Time elapsed: 0.659 s
% 34.77/5.47 % (3518549)Peak memory usage: 23 MB
% 34.77/5.47 % (3518549)Instructions burned: 1474 (million)
% 34.77/5.47 % (3518551)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=306505270:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 34.77/5.47 % TRYING [77]
% 34.77/5.47 % TRYING [9]
% 34.77/5.47 % (3518547)Instruction limit reached!
% 34.77/5.47 % (3518547)------------------------------
% 34.77/5.47 % (3518547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.77/5.47 % (3518547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.77/5.47 % (3518547)CaDiCaL version: 2.1.3
% 34.77/5.47 % (3518547)Termination reason: Instruction limit
% 34.77/5.47 % (3518547)Termination phase: Saturation
% 34.77/5.47 % (3518547)Time elapsed: 2.704 s
% 34.77/5.47 % (3518547)Peak memory usage: 48 MB
% 34.77/5.47 % (3518547)Instructions burned: 5132 (million)
% 34.77/5.47 % (3518553)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=948148313:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 34.77/5.47 % TRYING [16]
% 34.77/5.47 % (3518543)Instruction limit reached!
% 34.77/5.47 % (3518543)------------------------------
% 34.77/5.47 % (3518543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.77/5.47 % (3518543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.77/5.47 % (3518543)CaDiCaL version: 2.1.3
% 34.77/5.47 % (3518543)Termination reason: Instruction limit
% 34.77/5.47 % (3518543)Termination phase: Finite model building constraint generation
% 34.77/5.47 % (3518543)Time elapsed: 3.450 s
% 34.77/5.47 % (3518543)Peak memory usage: 669 MB
% 34.77/5.47 % (3518543)Instructions burned: 9515 (million)
% 34.77/5.47 % (3518551)Instruction limit reached!
% 34.77/5.47 % (3518551)------------------------------
% 34.77/5.47 % (3518551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.77/5.47 % (3518551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.77/5.47 % (3518551)CaDiCaL version: 2.1.3
% 34.77/5.47 % (3518551)Termination reason: Instruction limit
% 34.77/5.47 % (3518551)Termination phase: Finite model building constraint generation
% 34.77/5.47 % (3518551)Time elapsed: 2.366 s
% 34.77/5.47 % (3518551)Peak memory usage: 522 MB
% 34.77/5.47 % (3518551)Instructions burned: 6325 (million)
% 34.77/5.47 % (3518555)ott-2_1_sil=16000:newcnf=on:random_seed=1307952426:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 34.77/5.47 % (3518557)ott+10_1_sil=32000:tgt=ground:random_seed=22084324:i=5114:av=off_2955 on theBenchmark for (2955ds/5114Mi)
% 34.77/5.47 % (3518553)Instruction limit reached!
% 34.77/5.47 % (3518553)------------------------------
% 34.77/5.47 % (3518553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.77/5.47 % (3518553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.77/5.47 % (3518553)CaDiCaL version: 2.1.3
% 34.77/5.47 % (3518553)Termination reason: Instruction limit
% 34.77/5.47 % (3518553)Termination phase: Finite model building constraint generation
% 34.77/5.47 % (3518553)Time elapsed: 0.728 s
% 34.77/5.47 % (3518553)Peak memory usage: 133 MB
% 34.77/5.47 % (3518553)Instructions burned: 2174 (million)
% 34.77/5.47 % (3518559)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1813477874:i=54282_2953 on theBenchmark for (2953ds/54282Mi)
% 34.77/5.47 % TRYING [1]
% 34.77/5.47 % TRYING [2]
% 34.77/5.47 % TRYING [3]
% 34.77/5.47 % TRYING [4]
% 34.77/5.47 % TRYING [5]
% 34.77/5.47 % TRYING [10]
% 34.77/5.47 % TRYING [6]
% 34.77/5.47 % TRYING [7]
% 34.77/5.47 % (3518555)Instruction limit reached!
% 34.77/5.47 % (3518555)------------------------------
% 34.77/5.47 % (3518555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.77/5.47 % (3518555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.77/5.47 % (3518555)CaDiCaL version: 2.1.3
% 34.77/5.47 % (3518555)Termination reason: Instruction limit
% 34.77/5.47 % (3518555)Termination phase: Saturation
% 34.77/5.47 % (3518555)Time elapsed: 0.547 s
% 34.77/5.47 % (3518555)Peak memory usage: 19 MB
% 34.77/5.47 % (3518555)Instructions burned: 870 (million)
% 34.77/5.47 % (3518561)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2921268875:i=3512:aac=none_2950 on theBenchmark for (2950ds/3512Mi)
% 34.77/5.47 % (3518557) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3518502-3518557"...
% 34.77/5.47 % (3518557)...printing done.
% 34.77/5.47 % (3518557)Refutation found. Thanks to Tanya!
% 34.77/5.47 % SZS status Theorem for theBenchmark
% 34.77/5.47 % SZS output start Proof for theBenchmark
% See solution above
% 34.77/5.47 % (3518557)------------------------------
% 34.77/5.47 % (3518557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.77/5.47 % (3518557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.77/5.47 % (3518557)CaDiCaL version: 2.1.3
% 34.77/5.47 % (3518557)Termination reason: Refutation
% 34.77/5.47 % (3518557)Time elapsed: 0.548 s
% 34.77/5.47 % (3518557)Peak memory usage: 21 MB
% 34.77/5.47 % (3518557)Instructions burned: 914 (million)
% 34.77/5.47 % (3518502)Success in time 5.017 s
% 34.77/5.47 % Vampire exiting
%------------------------------------------------------------------------------