%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE145+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 : n026.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 11:40:58 AM UTC 2026
% Result : Theorem 3.80s 1.17s
% Output : Refutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 22
% Syntax : Number of formulae : 185 ( 123 unt; 5 def)
% Number of atoms : 263 ( 136 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 155 ( 77 ~; 72 |; 1 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 155 ( 0 sgn 154 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+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/KLE004+0.ax',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+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/KLE004+0.ax',distributivity1) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',distributivity2) ).
fof(f10,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',left_annihilation) ).
fof(f11,axiom,
! [X0] : addition(one,multiplication(X0,star(X0))) = star(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',star_unfold1) ).
fof(f12,axiom,
! [X0] : addition(one,multiplication(star(X0),X0)) = star(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',star_unfold2) ).
fof(f13,axiom,
! [X0,X1,X2] :
( leq(addition(multiplication(X0,X2),X1),X2)
=> leq(multiplication(star(X0),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',star_induction1) ).
fof(f15,axiom,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',infty_unfold1) ).
fof(f17,axiom,
! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',isolation) ).
fof(f18,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE004+0.ax',order) ).
fof(f19,conjecture,
! [X0] : star(strong_iteration(X0)) = strong_iteration(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0] : star(strong_iteration(X0)) = strong_iteration(X0),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1,X2] :
( leq(multiplication(star(X0),X1),X2)
| ~ leq(addition(multiplication(X0,X2),X1),X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f24,plain,
? [X0] : strong_iteration(X0) != star(strong_iteration(X0)),
inference(ennf_transformation,[],[f20]) ).
fof(f25,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f26,plain,
strong_iteration(sK0) != star(strong_iteration(sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f24]) ).
fof(f27,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f29,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f30,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f31,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f32,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f33,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f34,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f35,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f36,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f37,plain,
! [X0] : star(X0) = addition(one,multiplication(X0,star(X0))),
inference(cnf_transformation,[],[f11]) ).
fof(f38,plain,
! [X0] : star(X0) = addition(one,multiplication(star(X0),X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ leq(addition(multiplication(X0,X2),X1),X2)
| leq(multiplication(star(X0),X1),X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f41,plain,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
inference(cnf_transformation,[],[f15]) ).
fof(f43,plain,
! [X0] : strong_iteration(X0) = addition(star(X0),multiplication(strong_iteration(X0),zero)),
inference(cnf_transformation,[],[f17]) ).
fof(f44,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f45,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f46,plain,
strong_iteration(sK0) != star(strong_iteration(sK0)),
inference(cnf_transformation,[],[f26]) ).
fof(f47,definition,
sF1 = strong_iteration(sK0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f48,plain,
strong_iteration(sK0) = sF1,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF2 = star(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f50,plain,
star(sF1) = sF2,
inference(reorient_equations,[],[f49]) ).
fof(f51,plain,
sF1 != sF2,
inference(definition_folding,[],[f46,f50,f48,f48]) ).
fof(f61,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f45,f30]) ).
fof(f66,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f61]) ).
fof(f68,plain,
sF2 = addition(one,multiplication(sF1,sF2)),
inference(superposition,[],[f37,f50]) ).
fof(f74,plain,
sF2 = addition(one,multiplication(sF2,sF1)),
inference(superposition,[],[f38,f50]) ).
fof(f81,plain,
sF1 = addition(multiplication(sK0,sF1),one),
inference(superposition,[],[f41,f48]) ).
fof(f91,plain,
sF1 = addition(one,multiplication(sK0,sF1)),
inference(forward_demodulation,[],[f81,f27]) ).
fof(f97,plain,
sF1 = addition(star(sK0),multiplication(sF1,zero)),
inference(superposition,[],[f43,f48]) ).
fof(f101,plain,
sF1 = addition(multiplication(sF1,zero),star(sK0)),
inference(forward_demodulation,[],[f97,f27]) ).
fof(f109,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f28,f30]) ).
fof(f116,plain,
! [X0,X1] : addition(star(X0),X1) = addition(one,addition(multiplication(star(X0),X0),X1)),
inference(superposition,[],[f28,f38]) ).
fof(f126,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f27,f28]) ).
fof(f129,plain,
! [X0] : addition(one,addition(multiplication(sF1,sF2),X0)) = addition(sF2,X0),
inference(superposition,[],[f28,f68]) ).
fof(f136,definition,
( spl3_2
<=> sF2 = multiplication(sF1,sF2) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f137,plain,
( sF2 = multiplication(sF1,sF2)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f138,plain,
( sF2 != multiplication(sF1,sF2)
| spl3_2 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f160,plain,
! [X0,X1] : multiplication(X1,star(X0)) = addition(multiplication(X1,one),multiplication(X1,multiplication(star(X0),X0))),
inference(superposition,[],[f34,f38]) ).
fof(f170,plain,
! [X0,X1] : star(addition(X0,X1)) = addition(one,addition(multiplication(star(addition(X0,X1)),X0),multiplication(star(addition(X0,X1)),X1))),
inference(superposition,[],[f38,f34]) ).
fof(f179,plain,
! [X0,X1] : multiplication(X1,star(X0)) = addition(X1,multiplication(X1,multiplication(star(X0),X0))),
inference(forward_demodulation,[],[f160,f32]) ).
fof(f207,plain,
! [X0,X1] : multiplication(star(X0),X1) = addition(multiplication(one,X1),multiplication(multiplication(X0,star(X0)),X1)),
inference(superposition,[],[f35,f37]) ).
fof(f208,plain,
! [X0,X1] : multiplication(star(X0),X1) = addition(multiplication(one,X1),multiplication(multiplication(star(X0),X0),X1)),
inference(superposition,[],[f35,f38]) ).
fof(f228,plain,
! [X0,X1] : multiplication(star(X0),X1) = addition(multiplication(one,X1),multiplication(star(X0),multiplication(X0,X1))),
inference(forward_demodulation,[],[f208,f31]) ).
fof(f229,plain,
! [X0,X1] : multiplication(star(X0),X1) = addition(multiplication(one,X1),multiplication(X0,multiplication(star(X0),X1))),
inference(forward_demodulation,[],[f207,f31]) ).
fof(f239,plain,
! [X0,X1] : multiplication(star(X0),X1) = addition(X1,multiplication(star(X0),multiplication(X0,X1))),
inference(forward_demodulation,[],[f228,f33]) ).
fof(f240,plain,
! [X0,X1] : multiplication(star(X0),X1) = addition(X1,multiplication(X0,multiplication(star(X0),X1))),
inference(forward_demodulation,[],[f229,f33]) ).
fof(f256,plain,
! [X2,X3,X0,X1] :
( ~ leq(addition(addition(multiplication(X0,X1),multiplication(X0,X2)),X3),addition(X1,X2))
| leq(multiplication(star(X0),X3),addition(X1,X2)) ),
inference(superposition,[],[f39,f34]) ).
fof(f261,plain,
! [X0] :
( ~ leq(strong_iteration(X0),strong_iteration(X0))
| leq(multiplication(star(X0),one),strong_iteration(X0)) ),
inference(superposition,[],[f39,f41]) ).
fof(f263,plain,
! [X0,X1] :
( leq(multiplication(star(X0),multiplication(X0,X1)),X1)
| ~ leq(multiplication(X0,X1),X1) ),
inference(superposition,[],[f39,f30]) ).
fof(f266,plain,
! [X0] : leq(multiplication(star(X0),one),strong_iteration(X0)),
inference(forward_subsumption_resolution,[],[f261,f66]) ).
fof(f269,plain,
! [X2,X3,X0,X1] :
( ~ leq(addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)),addition(X1,X2))
| leq(multiplication(star(X0),X3),addition(X1,X2)) ),
inference(forward_demodulation,[],[f256,f28]) ).
fof(f270,plain,
! [X0] : leq(star(X0),strong_iteration(X0)),
inference(forward_demodulation,[],[f266,f32]) ).
fof(f276,plain,
leq(star(sK0),sF1),
inference(superposition,[],[f270,f48]) ).
fof(f318,plain,
sF1 = addition(star(sK0),sF1),
inference(resolution,[],[f276,f44]) ).
fof(f319,plain,
sF1 = addition(sF1,star(sK0)),
inference(forward_demodulation,[],[f318,f27]) ).
fof(f322,plain,
! [X0] : addition(sF2,X0) = addition(one,addition(multiplication(sF2,sF1),X0)),
inference(superposition,[],[f28,f74]) ).
fof(f329,definition,
( spl3_4
<=> sF2 = multiplication(sF2,sF1) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f330,plain,
( sF2 = multiplication(sF2,sF1)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f331,plain,
( sF2 != multiplication(sF2,sF1)
| spl3_4 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f345,plain,
! [X0] : addition(multiplication(X0,one),multiplication(X0,multiplication(sK0,sF1))) = multiplication(X0,sF1),
inference(superposition,[],[f34,f91]) ).
fof(f346,plain,
! [X0] : addition(one,addition(multiplication(sK0,sF1),X0)) = addition(sF1,X0),
inference(superposition,[],[f28,f91]) ).
fof(f357,plain,
! [X0] : multiplication(X0,sF1) = addition(X0,multiplication(X0,multiplication(sK0,sF1))),
inference(forward_demodulation,[],[f345,f32]) ).
fof(f421,plain,
! [X0] : addition(sF1,X0) = addition(multiplication(sF1,zero),addition(star(sK0),X0)),
inference(superposition,[],[f28,f101]) ).
fof(f423,plain,
! [X0] : multiplication(sF1,X0) = addition(multiplication(multiplication(sF1,zero),X0),multiplication(star(sK0),X0)),
inference(superposition,[],[f35,f101]) ).
fof(f444,plain,
! [X0] : multiplication(sF1,X0) = addition(multiplication(sF1,multiplication(zero,X0)),multiplication(star(sK0),X0)),
inference(forward_demodulation,[],[f423,f31]) ).
fof(f447,plain,
! [X0] : multiplication(sF1,X0) = addition(multiplication(sF1,zero),multiplication(star(sK0),X0)),
inference(forward_demodulation,[],[f444,f36]) ).
fof(f514,plain,
sF1 = addition(one,sF1),
inference(superposition,[],[f109,f91]) ).
fof(f516,plain,
sF2 = addition(one,sF2),
inference(superposition,[],[f109,f74]) ).
fof(f525,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f45,f109]) ).
fof(f531,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f525]) ).
fof(f812,plain,
! [X0] : addition(one,addition(multiplication(sK0,sF1),X0)) = addition(X0,sF1),
inference(superposition,[],[f126,f91]) ).
fof(f813,plain,
! [X0] : addition(one,addition(multiplication(sF1,sF2),X0)) = addition(X0,sF2),
inference(superposition,[],[f126,f68]) ).
fof(f814,plain,
! [X0] : addition(one,addition(multiplication(sF2,sF1),X0)) = addition(X0,sF2),
inference(superposition,[],[f126,f74]) ).
fof(f943,plain,
! [X0] : multiplication(X0,sF1) = addition(multiplication(X0,one),multiplication(X0,sF1)),
inference(superposition,[],[f34,f514]) ).
fof(f944,plain,
! [X0] : multiplication(sF1,X0) = addition(multiplication(one,X0),multiplication(sF1,X0)),
inference(superposition,[],[f35,f514]) ).
fof(f956,plain,
! [X0] : multiplication(sF1,X0) = addition(X0,multiplication(sF1,X0)),
inference(forward_demodulation,[],[f944,f33]) ).
fof(f957,plain,
! [X0] : multiplication(X0,sF1) = addition(X0,multiplication(X0,sF1)),
inference(forward_demodulation,[],[f943,f32]) ).
fof(f1017,plain,
! [X0] : addition(sF2,X0) = addition(one,addition(sF2,X0)),
inference(superposition,[],[f28,f516]) ).
fof(f1018,plain,
! [X0] : multiplication(X0,sF2) = addition(multiplication(X0,one),multiplication(X0,sF2)),
inference(superposition,[],[f34,f516]) ).
fof(f1025,plain,
! [X0] : addition(X0,sF2) = addition(one,addition(sF2,X0)),
inference(superposition,[],[f126,f516]) ).
fof(f1032,plain,
! [X0] : multiplication(X0,sF2) = addition(X0,multiplication(X0,sF2)),
inference(forward_demodulation,[],[f1018,f32]) ).
fof(f1293,plain,
! [X0,X1] : leq(X1,addition(X0,X1)),
inference(superposition,[],[f531,f27]) ).
fof(f1728,plain,
leq(multiplication(sK0,sF1),sF1),
inference(superposition,[],[f1293,f91]) ).
fof(f1729,plain,
leq(multiplication(sF1,sF2),sF2),
inference(superposition,[],[f1293,f68]) ).
fof(f1730,plain,
leq(multiplication(sF2,sF1),sF2),
inference(superposition,[],[f1293,f74]) ).
fof(f1918,plain,
! [X0,X1] : multiplication(X0,star(X1)) = addition(X0,multiplication(X0,star(X1))),
inference(superposition,[],[f109,f179]) ).
fof(f1987,plain,
sF2 = addition(multiplication(sF1,sF2),sF2),
inference(resolution,[],[f1729,f44]) ).
fof(f1988,plain,
sF2 = addition(one,addition(sF2,multiplication(sF1,sF2))),
inference(forward_demodulation,[],[f1987,f1025]) ).
fof(f1990,plain,
sF2 = addition(sF2,multiplication(sF1,sF2)),
inference(forward_demodulation,[],[f1988,f1017]) ).
fof(f1991,plain,
sF2 = multiplication(sF1,sF2),
inference(forward_demodulation,[],[f1990,f956]) ).
fof(f1992,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f1991,f138]) ).
fof(f1993,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f1992]) ).
fof(f2427,plain,
sF2 = addition(multiplication(sF2,sF1),sF2),
inference(resolution,[],[f1730,f44]) ).
fof(f2428,plain,
sF2 = addition(one,addition(multiplication(sF1,sF2),multiplication(sF2,sF1))),
inference(forward_demodulation,[],[f2427,f813]) ).
fof(f2429,plain,
sF2 = addition(sF2,multiplication(sF2,sF1)),
inference(forward_demodulation,[],[f2428,f129]) ).
fof(f2430,plain,
sF2 = multiplication(sF2,sF1),
inference(forward_demodulation,[],[f2429,f957]) ).
fof(f2431,plain,
( $false
| spl3_4 ),
inference(forward_subsumption_resolution,[],[f2430,f331]) ).
fof(f2432,plain,
spl3_4,
inference(avatar_contradiction_clause,[],[f2431]) ).
fof(f2452,plain,
! [X0,X1] : multiplication(star(X0),X1) = addition(X1,multiplication(star(X0),X1)),
inference(superposition,[],[f109,f239]) ).
fof(f2542,plain,
! [X0] : multiplication(X0,star(X0)) = multiplication(star(X0),X0),
inference(superposition,[],[f179,f240]) ).
fof(f2633,definition,
( spl3_48
<=> leq(sF2,sF1) ),
introduced(definition,[new_symbols(definition,[spl3_48])],[avatar_definition]) ).
fof(f2634,plain,
( leq(sF2,sF1)
| ~ spl3_48 ),
inference(avatar_component_clause,[],[f2633]) ).
fof(f2635,plain,
( ~ leq(sF2,sF1)
| spl3_48 ),
inference(avatar_component_clause,[],[f2633]) ).
fof(f2771,plain,
! [X0,X1] :
( ~ leq(multiplication(X0,X1),X1)
| addition(multiplication(star(X0),multiplication(X0,X1)),X1) = X1 ),
inference(resolution,[],[f263,f44]) ).
fof(f2782,plain,
( leq(multiplication(star(sF1),sF2),sF2)
| ~ leq(sF2,sF2)
| ~ spl3_2 ),
inference(superposition,[],[f263,f137]) ).
fof(f2784,plain,
( leq(multiplication(star(sF1),sF2),sF2)
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f2782,f66]) ).
fof(f2793,plain,
! [X0,X1] :
( addition(X1,multiplication(star(X0),multiplication(X0,X1))) = X1
| ~ leq(multiplication(X0,X1),X1) ),
inference(forward_demodulation,[],[f2771,f27]) ).
fof(f2794,plain,
( leq(multiplication(sF2,sF2),sF2)
| ~ spl3_2 ),
inference(forward_demodulation,[],[f2784,f50]) ).
fof(f2796,plain,
! [X0,X1] :
( ~ leq(multiplication(X0,X1),X1)
| multiplication(star(X0),X1) = X1 ),
inference(forward_demodulation,[],[f2793,f239]) ).
fof(f2915,plain,
( sF2 = addition(multiplication(sF2,sF2),sF2)
| ~ spl3_2 ),
inference(resolution,[],[f2794,f44]) ).
fof(f2916,plain,
( sF2 = addition(one,addition(multiplication(sF2,sF1),multiplication(sF2,sF2)))
| ~ spl3_2 ),
inference(forward_demodulation,[],[f2915,f814]) ).
fof(f2917,plain,
( sF2 = addition(sF2,multiplication(sF2,sF2))
| ~ spl3_2 ),
inference(forward_demodulation,[],[f2916,f322]) ).
fof(f2918,plain,
( sF2 = multiplication(sF2,sF2)
| ~ spl3_2 ),
inference(forward_demodulation,[],[f2917,f1032]) ).
fof(f2955,plain,
( leq(multiplication(star(sF2),sF2),sF2)
| ~ leq(sF2,sF2)
| ~ spl3_2 ),
inference(superposition,[],[f263,f2918]) ).
fof(f2960,plain,
( leq(multiplication(star(sF2),sF2),sF2)
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f2955,f66]) ).
fof(f2962,plain,
( leq(multiplication(sF2,star(sF2)),sF2)
| ~ spl3_2 ),
inference(forward_demodulation,[],[f2960,f2542]) ).
fof(f4761,plain,
star(sF1) = addition(one,addition(multiplication(star(sF1),sF1),multiplication(star(sF1),star(sK0)))),
inference(superposition,[],[f170,f319]) ).
fof(f4811,plain,
star(sF1) = addition(star(sF1),multiplication(star(sF1),star(sK0))),
inference(forward_demodulation,[],[f4761,f116]) ).
fof(f4861,plain,
star(sF1) = multiplication(star(sF1),star(sK0)),
inference(forward_demodulation,[],[f4811,f1918]) ).
fof(f4891,plain,
sF2 = multiplication(sF2,star(sK0)),
inference(forward_demodulation,[],[f4861,f50]) ).
fof(f5719,plain,
! [X0] :
( ~ leq(addition(multiplication(sF1,X0),sF1),addition(X0,zero))
| leq(multiplication(star(sF1),star(sK0)),addition(X0,zero)) ),
inference(superposition,[],[f269,f101]) ).
fof(f5826,plain,
! [X0] :
( ~ leq(addition(multiplication(sF1,X0),sF1),X0)
| leq(multiplication(star(sF1),star(sK0)),addition(X0,zero)) ),
inference(forward_demodulation,[],[f5719,f29]) ).
fof(f5877,plain,
! [X0] :
( ~ leq(addition(one,addition(multiplication(sK0,sF1),multiplication(sF1,X0))),X0)
| leq(multiplication(star(sF1),star(sK0)),addition(X0,zero)) ),
inference(forward_demodulation,[],[f5826,f812]) ).
fof(f5903,plain,
! [X0] :
( ~ leq(addition(sF1,multiplication(sF1,X0)),X0)
| leq(multiplication(star(sF1),star(sK0)),addition(X0,zero)) ),
inference(forward_demodulation,[],[f5877,f346]) ).
fof(f5918,plain,
! [X0] :
( leq(multiplication(star(sF1),star(sK0)),X0)
| ~ leq(addition(sF1,multiplication(sF1,X0)),X0) ),
inference(forward_demodulation,[],[f5903,f29]) ).
fof(f5924,plain,
! [X0] :
( leq(multiplication(sF2,star(sK0)),X0)
| ~ leq(addition(sF1,multiplication(sF1,X0)),X0) ),
inference(forward_demodulation,[],[f5918,f50]) ).
fof(f5927,plain,
! [X0] :
( ~ leq(addition(sF1,multiplication(sF1,X0)),X0)
| leq(sF2,X0) ),
inference(forward_demodulation,[],[f5924,f4891]) ).
fof(f9698,plain,
! [X0,X1] : multiplication(multiplication(X0,star(X0)),X1) = multiplication(star(X0),multiplication(X0,X1)),
inference(superposition,[],[f31,f2542]) ).
fof(f9788,plain,
! [X0,X1] : multiplication(star(X0),multiplication(X0,X1)) = multiplication(X0,multiplication(star(X0),X1)),
inference(forward_demodulation,[],[f9698,f31]) ).
fof(f12374,plain,
( sF2 = addition(multiplication(sF2,star(sF2)),sF2)
| ~ spl3_2 ),
inference(resolution,[],[f2962,f44]) ).
fof(f12375,plain,
( sF2 = addition(one,addition(multiplication(sF2,sF1),multiplication(sF2,star(sF2))))
| ~ spl3_2 ),
inference(forward_demodulation,[],[f12374,f814]) ).
fof(f12376,plain,
( sF2 = addition(sF2,multiplication(sF2,star(sF2)))
| ~ spl3_2 ),
inference(forward_demodulation,[],[f12375,f322]) ).
fof(f12377,plain,
( sF2 = multiplication(sF2,star(sF2))
| ~ spl3_2 ),
inference(forward_demodulation,[],[f12376,f1918]) ).
fof(f22482,plain,
( addition(one,sF2) = star(sF2)
| ~ spl3_2 ),
inference(superposition,[],[f37,f12377]) ).
fof(f22545,plain,
( sF2 = star(sF2)
| ~ spl3_2 ),
inference(forward_demodulation,[],[f22482,f516]) ).
fof(f22634,plain,
! [X0] : addition(one,multiplication(star(X0),multiplication(sK0,sF1))) = addition(sF1,multiplication(star(X0),multiplication(sK0,sF1))),
inference(superposition,[],[f346,f2452]) ).
fof(f23866,plain,
sF1 = multiplication(star(sK0),sF1),
inference(resolution,[],[f2796,f1728]) ).
fof(f23889,plain,
( ~ leq(sF2,sF1)
| sF1 = multiplication(star(sF2),sF1)
| ~ spl3_4 ),
inference(superposition,[],[f2796,f330]) ).
fof(f24426,plain,
addition(sF1,multiplication(star(sK0),multiplication(sK0,sF1))) = addition(multiplication(sF1,zero),multiplication(star(sK0),sF1)),
inference(superposition,[],[f421,f357]) ).
fof(f24571,plain,
multiplication(sF1,sF1) = addition(sF1,multiplication(star(sK0),multiplication(sK0,sF1))),
inference(forward_demodulation,[],[f24426,f447]) ).
fof(f24640,plain,
multiplication(sF1,sF1) = addition(one,multiplication(star(sK0),multiplication(sK0,sF1))),
inference(forward_demodulation,[],[f24571,f22634]) ).
fof(f24677,plain,
multiplication(sF1,sF1) = addition(one,multiplication(sK0,multiplication(star(sK0),sF1))),
inference(forward_demodulation,[],[f24640,f9788]) ).
fof(f24699,plain,
addition(one,multiplication(sK0,sF1)) = multiplication(sF1,sF1),
inference(forward_demodulation,[],[f24677,f23866]) ).
fof(f24711,plain,
sF1 = multiplication(sF1,sF1),
inference(forward_demodulation,[],[f24699,f91]) ).
fof(f24736,plain,
( ~ leq(addition(sF1,sF1),sF1)
| leq(sF2,sF1) ),
inference(superposition,[],[f5927,f24711]) ).
fof(f24803,plain,
( ~ leq(addition(sF1,sF1),sF1)
| spl3_48 ),
inference(forward_subsumption_resolution,[],[f24736,f2635]) ).
fof(f24814,plain,
( ~ leq(sF1,sF1)
| spl3_48 ),
inference(forward_demodulation,[],[f24803,f30]) ).
fof(f24821,plain,
( $false
| spl3_48 ),
inference(forward_subsumption_resolution,[],[f24814,f66]) ).
fof(f24822,plain,
spl3_48,
inference(avatar_contradiction_clause,[],[f24821]) ).
fof(f24833,plain,
( sF1 = multiplication(star(sF2),sF1)
| ~ spl3_4
| ~ spl3_48 ),
inference(forward_subsumption_resolution,[],[f23889,f2634]) ).
fof(f24841,plain,
( sF1 = multiplication(sF2,sF1)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_48 ),
inference(forward_demodulation,[],[f24833,f22545]) ).
fof(f26329,plain,
( sF2 = addition(one,sF1)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_48 ),
inference(superposition,[],[f74,f24841]) ).
fof(f26406,plain,
( sF1 = sF2
| ~ spl3_2
| ~ spl3_4
| ~ spl3_48 ),
inference(forward_demodulation,[],[f26329,f514]) ).
fof(f26418,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_48 ),
inference(forward_subsumption_resolution,[],[f26406,f51]) ).
fof(f26419,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_48 ),
inference(avatar_contradiction_clause,[],[f26418]) ).
cnf(s27,plain,
spl3_2,
inference(sat_conversion,[],[f1993]) ).
cnf(s29,plain,
spl3_4,
inference(sat_conversion,[],[f2432]) ).
cnf(s59,plain,
spl3_48,
inference(sat_conversion,[],[f24822]) ).
cnf(s76,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_48 ),
inference(sat_conversion,[],[f26419]) ).
cnf(s82,plain,
~ spl3_2,
inference(rat,[],[s76,s59,s29]) ).
cnf(s84,plain,
$false,
inference(rat,[],[s27,s82]) ).
fof(f26425,plain,
$false,
inference(avatar_sat_refutation,[],[s84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE145+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.37 % Computer : n026.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sun Sep 27 13:15:11 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 Running first-order model finding
% 0.13/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.80/1.17 % (2842444)Will run a generic schedule for satisfiability detection.
% 3.80/1.17 % (2842461)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3129142950:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.80/1.17 % (2842457)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2617427813:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.80/1.17 % (2842455)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2652839963_2999 on theBenchmark for (2999ds/0Mi)
% 3.80/1.17 % (2842458)dis+10_1_sil=32000:sp=arity:random_seed=277584136:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.80/1.17 % (2842459)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2922103679:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.80/1.17 % (2842460)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=498838809:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.80/1.17 % TRYING [1]
% 3.80/1.17 % TRYING [2]
% 3.80/1.17 % TRYING [3]
% 3.80/1.17 % (2842456)% WARNING: option uhcvi not known.
% 3.80/1.17 % TRYING [4]
% 3.80/1.17 % (2842456)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2705648109:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.80/1.17 % TRYING [5]
% 3.80/1.17 % (2842461)Instruction limit reached!
% 3.80/1.17 % (2842461)------------------------------
% 3.80/1.17 % (2842461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.17 % (2842461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.17 % (2842461)CaDiCaL version: 2.1.3
% 3.80/1.17 % (2842461)Termination reason: Instruction limit
% 3.80/1.17 % (2842461)Termination phase: Saturation
% 3.80/1.17 % (2842461)Time elapsed: 0.055 s
% 3.80/1.17 % (2842461)Peak memory usage: 13 MB
% 3.80/1.17 % (2842461)Instructions burned: 160 (million)
% 3.80/1.17 % (2842480)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1599766696:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.80/1.17 % TRYING [1]
% 3.80/1.17 % TRYING [2]
% 3.80/1.17 % TRYING [3]
% 3.80/1.17 % (2842458)Instruction limit reached!
% 3.80/1.17 % (2842458)------------------------------
% 3.80/1.17 % (2842458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.17 % (2842458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.17 % (2842458)CaDiCaL version: 2.1.3
% 3.80/1.17 % (2842458)Termination reason: Instruction limit
% 3.80/1.17 % (2842458)Termination phase: Saturation
% 3.80/1.17 % (2842458)Time elapsed: 0.064 s
% 3.80/1.17 % (2842458)Peak memory usage: 12 MB
% 3.80/1.17 % (2842458)Instructions burned: 104 (million)
% 3.80/1.17 % TRYING [4]
% 3.80/1.17 % TRYING [5]
% 3.80/1.17 % (2842486)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1684516433:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.80/1.17 % (2842460)Instruction limit reached!
% 3.80/1.17 % (2842460)------------------------------
% 3.80/1.17 % (2842460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.17 % (2842460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.17 % (2842460)CaDiCaL version: 2.1.3
% 3.80/1.17 % (2842460)Termination reason: Instruction limit
% 3.80/1.17 % (2842460)Termination phase: Saturation
% 3.80/1.17 % (2842460)Time elapsed: 0.083 s
% 3.80/1.17 % (2842460)Peak memory usage: 13 MB
% 3.80/1.17 % (2842460)Instructions burned: 132 (million)
% 3.80/1.17 % (2842459)Instruction limit reached!
% 3.80/1.17 % (2842459)------------------------------
% 3.80/1.17 % (2842459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.17 % (2842459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.17 % (2842459)CaDiCaL version: 2.1.3
% 3.80/1.17 % (2842459)Termination reason: Instruction limit
% 3.80/1.17 % (2842459)Termination phase: Saturation
% 3.80/1.17 % (2842459)Time elapsed: 0.089 s
% 3.80/1.17 % (2842459)Peak memory usage: 13 MB
% 3.80/1.17 % (2842459)Instructions burned: 116 (million)
% 3.80/1.17 % TRYING [6]
% 3.80/1.17 % (2842489)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=4156811305:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.80/1.17 % (2842490)ott-21_1_sil=16000:fs=off:random_seed=1814920688:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.80/1.17 % TRYING [6]
% 3.80/1.17 % (2842486)Instruction limit reached!
% 3.80/1.17 % (2842486)------------------------------
% 3.80/1.17 % (2842486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.17 % (2842486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.17 % (2842486)CaDiCaL version: 2.1.3
% 3.80/1.17 % (2842486)Termination reason: Instruction limit
% 3.80/1.17 % (2842486)Termination phase: Saturation
% 3.80/1.17 % (2842486)Time elapsed: 0.095 s
% 3.80/1.17 % (2842486)Peak memory usage: 13 MB
% 3.80/1.17 % (2842486)Instructions burned: 132 (million)
% 3.80/1.17 % (2842490)Instruction limit reached!
% 3.80/1.17 % (2842490)------------------------------
% 3.80/1.17 % (2842490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.17 % (2842490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.17 % (2842490)CaDiCaL version: 2.1.3
% 3.80/1.17 % (2842490)Termination reason: Instruction limit
% 3.80/1.17 % (2842490)Termination phase: Saturation
% 3.80/1.17 % (2842490)Time elapsed: 0.077 s
% 3.80/1.17 % (2842490)Peak memory usage: 11 MB
% 3.80/1.17 % (2842490)Instructions burned: 181 (million)
% 3.80/1.17 % (2842503)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1166727296:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 3.80/1.17 % (2842504)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1608839640:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.80/1.17 % TRYING [1]
% 3.80/1.17 % TRYING [2]
% 3.80/1.17 % TRYING [3]
% 3.80/1.17 % TRYING [4]
% 3.80/1.17 % (2842480)Instruction limit reached!
% 3.80/1.17 % (2842480)------------------------------
% 3.80/1.17 % (2842480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.17 % (2842480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.17 % (2842480)CaDiCaL version: 2.1.3
% 3.80/1.17 % (2842480)Termination reason: Instruction limit
% 3.80/1.17 % (2842480)Termination phase: Finite model building SAT solving
% 3.80/1.17 % (2842480)Time elapsed: 0.176 s
% 3.80/1.17 % (2842480)Peak memory usage: 33 MB
% 3.80/1.17 % (2842480)Instructions burned: 715 (million)
% 3.80/1.17 % (2842507)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2649963222:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 3.80/1.17 % TRYING [7]
% 3.80/1.17 % TRYING [5]
% 3.80/1.17 % TRYING [6]
% 3.80/1.17 % (2842489)Instruction limit reached!
% 3.80/1.17 % (2842489)------------------------------
% 3.80/1.17 % (2842489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.17 % (2842489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.17 % (2842489)CaDiCaL version: 2.1.3
% 3.80/1.17 % (2842489)Termination reason: Instruction limit
% 3.80/1.17 % (2842489)Termination phase: Saturation
% 3.80/1.17 % (2842489)Time elapsed: 0.435 s
% 3.80/1.17 % (2842489)Peak memory usage: 18 MB
% 3.80/1.17 % (2842489)Instructions burned: 684 (million)
% 3.80/1.17 % (2842503)Instruction limit reached!
% 3.80/1.17 % (2842503)------------------------------
% 3.80/1.17 % (2842503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.17 % (2842503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.17 % (2842503)CaDiCaL version: 2.1.3
% 3.80/1.17 % (2842503)Termination reason: Instruction limit
% 3.80/1.17 % (2842503)Termination phase: Saturation
% 3.80/1.17 % (2842503)Time elapsed: 0.351 s
% 3.80/1.17 % (2842503)Peak memory usage: 14 MB
% 3.80/1.17 % (2842503)Instructions burned: 477 (million)
% 3.80/1.17 % (2842504)Instruction limit reached!
% 3.80/1.17 % (2842504)------------------------------
% 3.80/1.17 % (2842504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.17 % (2842504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.17 % (2842504)CaDiCaL version: 2.1.3
% 3.80/1.17 % (2842504)Termination reason: Instruction limit
% 3.80/1.17 % (2842504)Termination phase: Finite model building SAT solving
% 3.80/1.17 % (2842504)Time elapsed: 0.376 s
% 3.80/1.17 % (2842504)Peak memory usage: 25 MB
% 3.80/1.17 % (2842504)Instructions burned: 865 (million)
% 3.80/1.17 % (2842537)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=3620149399: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)
% 3.80/1.17 % (2842536)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3445331685:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 3.80/1.17 % (2842541)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2461605104:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 3.80/1.17 % TRYING [8]
% 3.80/1.17 % (2842507) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2842444-2842507"...
% 3.80/1.17 % (2842507)...printing done.
% 3.80/1.17 % (2842507)Refutation found. Thanks to Tanya!
% 3.80/1.17 % SZS status Theorem for theBenchmark
% 3.80/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 3.80/1.17 % (2842507)------------------------------
% 3.80/1.17 % (2842507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.80/1.17 % (2842507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.80/1.17 % (2842507)CaDiCaL version: 2.1.3
% 3.80/1.17 % (2842507)Termination reason: Refutation
% 3.80/1.17 % (2842507)Time elapsed: 0.457 s
% 3.80/1.17 % (2842507)Peak memory usage: 22 MB
% 3.80/1.17 % (2842507)Instructions burned: 1031 (million)
% 3.80/1.17 % (2842444)Success in time 0.756 s
% 3.80/1.17 % Vampire exiting
%------------------------------------------------------------------------------