%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE033+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 : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:40:09 AM UTC 2026
% Result : Theorem 13.59s 3.20s
% Output : Refutation 16.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 17
% Syntax : Number of formulae : 152 ( 101 unt; 2 def)
% Number of atoms : 305 ( 121 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 247 ( 94 ~; 92 |; 50 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-3 aty)
% Number of variables : 194 ( 185 !; 9 ?)
% 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(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
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(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_3) ).
fof(f17,axiom,
! [X0,X1,X2] :
( ismeet(X2,X0,X1)
<=> ( leq(X2,X0)
& leq(X2,X1)
& ! [X3] :
( ( leq(X3,X0)
& leq(X3,X1) )
=> leq(X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ismeet) ).
fof(f19,conjecture,
! [X0,X1,X2] :
( ( test(X2)
& test(X1)
& ismeet(zero,X1,X2) )
=> ismeet(zero,multiplication(X1,X0),multiplication(X2,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1,X2] :
( ( test(X2)
& test(X1)
& ismeet(zero,X1,X2) )
=> ismeet(zero,multiplication(X1,X0),multiplication(X2,X0)) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ismeet(X2,X0,X1)
<=> ( leq(X2,X0)
& leq(X2,X1)
& ! [X3] :
( leq(X3,X2)
| ~ leq(X3,X0)
| ~ leq(X3,X1) ) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ismeet(X2,X0,X1)
<=> ( leq(X2,X0)
& leq(X2,X1)
& ! [X3] :
( leq(X3,X2)
| ~ leq(X3,X0)
| ~ leq(X3,X1) ) ) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
? [X0,X1,X2] :
( ~ ismeet(zero,multiplication(X1,X0),multiplication(X2,X0))
& test(X2)
& test(X1)
& ismeet(zero,X1,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f26,plain,
? [X0,X1,X2] :
( ~ ismeet(zero,multiplication(X1,X0),multiplication(X2,X0))
& test(X2)
& test(X1)
& ismeet(zero,X1,X2) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f31,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f32,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f21]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( ismeet(X2,X0,X1)
| ~ leq(X2,X0)
| ~ leq(X2,X1)
| ? [X3] :
( ~ leq(X3,X2)
& leq(X3,X0)
& leq(X3,X1) ) )
& ( ( leq(X2,X0)
& leq(X2,X1)
& ! [X3] :
( leq(X3,X2)
| ~ leq(X3,X0)
| ~ leq(X3,X1) ) )
| ~ ismeet(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( ismeet(X2,X0,X1)
| ~ leq(X2,X0)
| ~ leq(X2,X1)
| ? [X3] :
( ~ leq(X3,X2)
& leq(X3,X0)
& leq(X3,X1) ) )
& ( ( leq(X2,X0)
& leq(X2,X1)
& ! [X3] :
( leq(X3,X2)
| ~ leq(X3,X0)
| ~ leq(X3,X1) ) )
| ~ ismeet(X2,X0,X1) ) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( ismeet(X2,X0,X1)
| ~ leq(X2,X0)
| ~ leq(X2,X1)
| ? [X3] :
( ~ leq(X3,X2)
& leq(X3,X0)
& leq(X3,X1) ) )
& ( ( leq(X2,X0)
& leq(X2,X1)
& ! [X4] :
( leq(X4,X2)
| ~ leq(X4,X0)
| ~ leq(X4,X1) ) )
| ~ ismeet(X2,X0,X1) ) ),
inference(rectify,[],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( ismeet(X2,X0,X1)
| ~ leq(X2,X0)
| ~ leq(X2,X1)
| ( ~ leq(sK1(X0,X1,X2),X2)
& leq(sK1(X0,X1,X2),X0)
& leq(sK1(X0,X1,X2),X1) ) )
& ( ( leq(X2,X0)
& leq(X2,X1)
& ! [X4] :
( leq(X4,X2)
| ~ leq(X4,X0)
| ~ leq(X4,X1) ) )
| ~ ismeet(X2,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f36]) ).
fof(f38,plain,
( ~ ismeet(zero,multiplication(sK3,sK2),multiplication(sK4,sK2))
& test(sK4)
& test(sK3)
& ismeet(zero,sK3,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f26]) ).
fof(f39,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f40,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f41,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f42,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f43,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f44,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f45,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f46,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f47,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f49,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f50,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f27]) ).
fof(f51,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f54,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f32]) ).
fof(f56,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f58,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f61,plain,
! [X2,X0,X1,X4] :
( ~ ismeet(X2,X0,X1)
| ~ leq(X4,X0)
| ~ leq(X4,X1)
| leq(X4,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ ismeet(X2,X0,X1)
| leq(X2,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ ismeet(X2,X0,X1)
| leq(X2,X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f64,plain,
! [X2,X0,X1] :
( leq(sK1(X0,X1,X2),X1)
| ~ leq(X2,X0)
| ~ leq(X2,X1)
| ismeet(X2,X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f65,plain,
! [X2,X0,X1] :
( leq(sK1(X0,X1,X2),X0)
| ~ leq(X2,X0)
| ~ leq(X2,X1)
| ismeet(X2,X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ leq(sK1(X0,X1,X2),X2)
| ~ leq(X2,X0)
| ~ leq(X2,X1)
| ismeet(X2,X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f67,plain,
ismeet(zero,sK3,sK4),
inference(cnf_transformation,[],[f38]) ).
fof(f68,plain,
test(sK3),
inference(cnf_transformation,[],[f38]) ).
fof(f69,plain,
test(sK4),
inference(cnf_transformation,[],[f38]) ).
fof(f70,plain,
~ ismeet(zero,multiplication(sK3,sK2),multiplication(sK4,sK2)),
inference(cnf_transformation,[],[f38]) ).
fof(f71,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f58]) ).
fof(f72,definition,
sF5 = multiplication(sK3,sK2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f73,plain,
multiplication(sK3,sK2) = sF5,
inference(reorient_equations,[],[f72]) ).
fof(f74,definition,
sF6 = multiplication(sK4,sK2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f75,plain,
multiplication(sK4,sK2) = sF6,
inference(reorient_equations,[],[f74]) ).
fof(f76,plain,
~ ismeet(zero,sF5,sF6),
inference(definition_folding,[],[f70,f75,f73]) ).
fof(f77,plain,
leq(zero,sK4),
inference(resolution,[],[f62,f67]) ).
fof(f78,plain,
leq(zero,sK3),
inference(resolution,[],[f63,f67]) ).
fof(f79,plain,
! [X0] :
( ~ leq(X0,sK4)
| ~ leq(X0,sK3)
| leq(X0,zero) ),
inference(resolution,[],[f61,f67]) ).
fof(f82,plain,
! [X0] :
( ~ test(X0)
| one = addition(c(X0),X0) ),
inference(resolution,[],[f54,f71]) ).
fof(f89,plain,
! [X2,X0,X1] :
( multiplication(X0,addition(X1,X2)) != multiplication(X0,X2)
| leq(multiplication(X0,X1),multiplication(X0,X2)) ),
inference(superposition,[],[f51,f46]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ismeet(X0,X1,X2)
| ~ leq(X0,X2)
| ~ leq(X0,X1)
| addition(sK1(X1,X2,X0),X2) = X2 ),
inference(resolution,[],[f64,f50]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ismeet(X0,X1,X2)
| ~ leq(X0,X2)
| ~ leq(X0,X1)
| addition(sK1(X1,X2,X0),X1) = X1 ),
inference(resolution,[],[f65,f50]) ).
fof(f117,plain,
( ~ leq(zero,sK3)
| leq(zero,zero) ),
inference(resolution,[],[f79,f77]) ).
fof(f120,plain,
leq(zero,zero),
inference(forward_subsumption_resolution,[],[f117,f78]) ).
fof(f125,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f39,f41]) ).
fof(f134,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f47,f45]) ).
fof(f152,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(c(X0),X0) ),
inference(resolution,[],[f56,f71]) ).
fof(f229,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f40,f42]) ).
fof(f233,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f40,f46]) ).
fof(f260,plain,
! [X0,X1] :
( addition(X0,X1) != addition(X0,X1)
| leq(X0,addition(X0,X1)) ),
inference(superposition,[],[f51,f229]) ).
fof(f262,plain,
! [X0,X1] : leq(X0,addition(X0,X1)),
inference(trivial_inequality_removal,[],[f260]) ).
fof(f272,plain,
! [X0,X1] : leq(X1,addition(X0,X1)),
inference(superposition,[],[f262,f39]) ).
fof(f285,plain,
! [X0] :
( X0 != X0
| leq(zero,X0) ),
inference(superposition,[],[f51,f125]) ).
fof(f288,plain,
! [X0] : leq(zero,X0),
inference(trivial_inequality_removal,[],[f285]) ).
fof(f306,plain,
one = addition(c(sK4),sK4),
inference(resolution,[],[f82,f69]) ).
fof(f307,plain,
one = addition(c(sK3),sK3),
inference(resolution,[],[f82,f68]) ).
fof(f312,plain,
one = addition(c(sK3),one),
inference(superposition,[],[f229,f307]) ).
fof(f333,plain,
one = addition(sK4,c(sK4)),
inference(superposition,[],[f39,f306]) ).
fof(f388,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,[],[f233,f47]) ).
fof(f469,plain,
! [X0,X1] : addition(multiplication(X0,c(sK3)),multiplication(addition(X0,X1),sK3)) = addition(multiplication(X0,one),multiplication(X1,sK3)),
inference(superposition,[],[f388,f307]) ).
fof(f470,plain,
! [X0,X1] : addition(multiplication(X0,c(sK4)),multiplication(addition(X0,X1),sK4)) = addition(multiplication(X0,one),multiplication(X1,sK4)),
inference(superposition,[],[f388,f306]) ).
fof(f562,plain,
! [X0,X1] : addition(multiplication(X0,c(sK4)),multiplication(addition(X0,X1),sK4)) = addition(X0,multiplication(X1,sK4)),
inference(forward_demodulation,[],[f470,f44]) ).
fof(f563,plain,
! [X0,X1] : addition(multiplication(X0,c(sK3)),multiplication(addition(X0,X1),sK3)) = addition(X0,multiplication(X1,sK3)),
inference(forward_demodulation,[],[f469,f44]) ).
fof(f970,plain,
( ~ leq(zero,sF6)
| ~ leq(zero,sF5)
| sF5 = addition(sK1(sF5,sF6,zero),sF5) ),
inference(resolution,[],[f115,f76]) ).
fof(f974,plain,
( ~ leq(zero,sF6)
| sF5 = addition(sK1(sF5,sF6,zero),sF5) ),
inference(forward_subsumption_resolution,[],[f970,f288]) ).
fof(f975,plain,
sF5 = addition(sK1(sF5,sF6,zero),sF5),
inference(forward_subsumption_resolution,[],[f974,f288]) ).
fof(f1127,plain,
( ~ leq(zero,sF6)
| ~ leq(zero,sF5)
| sF6 = addition(sK1(sF5,sF6,zero),sF6) ),
inference(resolution,[],[f112,f76]) ).
fof(f1131,plain,
( ~ leq(zero,sF6)
| sF6 = addition(sK1(sF5,sF6,zero),sF6) ),
inference(forward_subsumption_resolution,[],[f1127,f288]) ).
fof(f1132,plain,
sF6 = addition(sK1(sF5,sF6,zero),sF6),
inference(forward_subsumption_resolution,[],[f1131,f288]) ).
fof(f1847,plain,
zero = multiplication(c(sK4),sK4),
inference(resolution,[],[f152,f69]) ).
fof(f1848,plain,
zero = multiplication(c(sK3),sK3),
inference(resolution,[],[f152,f68]) ).
fof(f1851,plain,
! [X0] : multiplication(zero,X0) = multiplication(c(sK4),multiplication(sK4,X0)),
inference(superposition,[],[f43,f1847]) ).
fof(f1872,plain,
! [X0] : zero = multiplication(c(sK4),multiplication(sK4,X0)),
inference(forward_demodulation,[],[f1851,f49]) ).
fof(f1875,plain,
! [X0] : multiplication(zero,X0) = multiplication(c(sK3),multiplication(sK3,X0)),
inference(superposition,[],[f43,f1848]) ).
fof(f1896,plain,
! [X0] : zero = multiplication(c(sK3),multiplication(sK3,X0)),
inference(forward_demodulation,[],[f1875,f49]) ).
fof(f1956,plain,
zero = multiplication(c(sK3),sF5),
inference(superposition,[],[f1896,f73]) ).
fof(f2079,plain,
zero = multiplication(c(sK4),sF6),
inference(superposition,[],[f1872,f75]) ).
fof(f2984,plain,
! [X0] :
( multiplication(X0,sF5) != multiplication(X0,sF5)
| leq(multiplication(X0,sK1(sF5,sF6,zero)),multiplication(X0,sF5)) ),
inference(superposition,[],[f89,f975]) ).
fof(f2989,plain,
! [X0] :
( multiplication(X0,sF6) != multiplication(X0,sF6)
| leq(multiplication(X0,sK1(sF5,sF6,zero)),multiplication(X0,sF6)) ),
inference(superposition,[],[f89,f1132]) ).
fof(f3003,plain,
! [X0] : leq(multiplication(X0,sK1(sF5,sF6,zero)),multiplication(X0,sF6)),
inference(trivial_inequality_removal,[],[f2989]) ).
fof(f3008,plain,
! [X0] : leq(multiplication(X0,sK1(sF5,sF6,zero)),multiplication(X0,sF5)),
inference(trivial_inequality_removal,[],[f2984]) ).
fof(f3055,plain,
leq(multiplication(c(sK3),sK1(sF5,sF6,zero)),zero),
inference(superposition,[],[f3008,f1956]) ).
fof(f3074,plain,
leq(multiplication(c(sK4),sK1(sF5,sF6,zero)),zero),
inference(superposition,[],[f3003,f2079]) ).
fof(f3089,plain,
zero = addition(multiplication(c(sK4),sK1(sF5,sF6,zero)),zero),
inference(resolution,[],[f3074,f50]) ).
fof(f3090,plain,
zero = multiplication(c(sK4),sK1(sF5,sF6,zero)),
inference(forward_demodulation,[],[f3089,f41]) ).
fof(f3100,plain,
! [X0] : multiplication(addition(X0,c(sK4)),sK1(sF5,sF6,zero)) = addition(multiplication(X0,sK1(sF5,sF6,zero)),zero),
inference(superposition,[],[f47,f3090]) ).
fof(f3134,plain,
! [X0] : multiplication(X0,sK1(sF5,sF6,zero)) = multiplication(addition(X0,c(sK4)),sK1(sF5,sF6,zero)),
inference(forward_demodulation,[],[f3100,f41]) ).
fof(f3139,plain,
zero = addition(multiplication(c(sK3),sK1(sF5,sF6,zero)),zero),
inference(resolution,[],[f3055,f50]) ).
fof(f3140,plain,
zero = multiplication(c(sK3),sK1(sF5,sF6,zero)),
inference(forward_demodulation,[],[f3139,f41]) ).
fof(f3151,plain,
! [X0] : multiplication(addition(c(sK3),X0),sK1(sF5,sF6,zero)) = addition(zero,multiplication(X0,sK1(sF5,sF6,zero))),
inference(superposition,[],[f47,f3140]) ).
fof(f3183,plain,
! [X0] : multiplication(X0,sK1(sF5,sF6,zero)) = multiplication(addition(c(sK3),X0),sK1(sF5,sF6,zero)),
inference(forward_demodulation,[],[f3151,f125]) ).
fof(f3195,plain,
multiplication(one,sK1(sF5,sF6,zero)) = multiplication(sK4,sK1(sF5,sF6,zero)),
inference(superposition,[],[f3134,f333]) ).
fof(f3224,plain,
sK1(sF5,sF6,zero) = multiplication(sK4,sK1(sF5,sF6,zero)),
inference(forward_demodulation,[],[f3195,f45]) ).
fof(f3958,plain,
! [X0] : addition(X0,multiplication(X0,sK4)) = addition(multiplication(X0,c(sK4)),multiplication(X0,sK4)),
inference(superposition,[],[f562,f42]) ).
fof(f3991,plain,
addition(c(sK3),multiplication(sK3,sK4)) = addition(multiplication(c(sK3),c(sK4)),multiplication(one,sK4)),
inference(superposition,[],[f562,f307]) ).
fof(f4034,plain,
addition(c(sK3),multiplication(sK3,sK4)) = addition(multiplication(c(sK3),c(sK4)),sK4),
inference(forward_demodulation,[],[f3991,f45]) ).
fof(f4060,plain,
! [X0] : multiplication(X0,addition(c(sK4),sK4)) = addition(X0,multiplication(X0,sK4)),
inference(forward_demodulation,[],[f3958,f46]) ).
fof(f4093,plain,
! [X0] : multiplication(X0,one) = addition(X0,multiplication(X0,sK4)),
inference(forward_demodulation,[],[f4060,f306]) ).
fof(f4110,plain,
! [X0] : addition(X0,multiplication(X0,sK4)) = X0,
inference(forward_demodulation,[],[f4093,f44]) ).
fof(f4144,plain,
! [X0] : leq(multiplication(X0,sK4),X0),
inference(superposition,[],[f272,f4110]) ).
fof(f4518,plain,
! [X0] : addition(X0,multiplication(X0,sK3)) = addition(multiplication(X0,c(sK3)),multiplication(X0,sK3)),
inference(superposition,[],[f563,f42]) ).
fof(f4637,plain,
! [X0] : multiplication(X0,addition(c(sK3),sK3)) = addition(X0,multiplication(X0,sK3)),
inference(forward_demodulation,[],[f4518,f46]) ).
fof(f4677,plain,
! [X0] : multiplication(X0,one) = addition(X0,multiplication(X0,sK3)),
inference(forward_demodulation,[],[f4637,f307]) ).
fof(f4699,plain,
! [X0] : addition(X0,multiplication(X0,sK3)) = X0,
inference(forward_demodulation,[],[f4677,f44]) ).
fof(f4748,plain,
! [X0] : multiplication(one,X0) = addition(X0,multiplication(multiplication(one,sK3),X0)),
inference(superposition,[],[f134,f4699]) ).
fof(f4772,plain,
! [X0] : multiplication(one,X0) = addition(X0,multiplication(one,multiplication(sK3,X0))),
inference(forward_demodulation,[],[f4748,f43]) ).
fof(f4797,plain,
! [X0] : multiplication(one,X0) = addition(X0,multiplication(sK3,X0)),
inference(forward_demodulation,[],[f4772,f45]) ).
fof(f4810,plain,
! [X0] : addition(X0,multiplication(sK3,X0)) = X0,
inference(forward_demodulation,[],[f4797,f45]) ).
fof(f4920,plain,
! [X0] : leq(multiplication(sK3,X0),X0),
inference(superposition,[],[f272,f4810]) ).
fof(f5040,plain,
( ~ leq(multiplication(sK3,sK4),sK3)
| leq(multiplication(sK3,sK4),zero) ),
inference(resolution,[],[f4920,f79]) ).
fof(f5052,plain,
leq(multiplication(sK3,sK4),zero),
inference(forward_subsumption_resolution,[],[f5040,f4144]) ).
fof(f5053,plain,
zero = addition(multiplication(sK3,sK4),zero),
inference(resolution,[],[f5052,f50]) ).
fof(f5054,plain,
zero = multiplication(sK3,sK4),
inference(forward_demodulation,[],[f5053,f41]) ).
fof(f6362,plain,
addition(multiplication(c(sK3),c(sK4)),multiplication(one,sK4)) = addition(c(sK3),multiplication(one,sK4)),
inference(superposition,[],[f562,f312]) ).
fof(f6371,plain,
addition(multiplication(c(sK3),c(sK4)),sK4) = addition(c(sK3),sK4),
inference(forward_demodulation,[],[f6362,f45]) ).
fof(f6380,plain,
addition(c(sK3),multiplication(sK3,sK4)) = addition(c(sK3),sK4),
inference(forward_demodulation,[],[f6371,f4034]) ).
fof(f6382,plain,
addition(c(sK3),zero) = addition(c(sK3),sK4),
inference(forward_demodulation,[],[f6380,f5054]) ).
fof(f6384,plain,
c(sK3) = addition(c(sK3),sK4),
inference(forward_demodulation,[],[f6382,f41]) ).
fof(f6387,plain,
multiplication(c(sK3),sK1(sF5,sF6,zero)) = multiplication(sK4,sK1(sF5,sF6,zero)),
inference(superposition,[],[f3183,f6384]) ).
fof(f6424,plain,
sK1(sF5,sF6,zero) = multiplication(c(sK3),sK1(sF5,sF6,zero)),
inference(forward_demodulation,[],[f6387,f3224]) ).
fof(f6427,plain,
zero = sK1(sF5,sF6,zero),
inference(forward_demodulation,[],[f6424,f3140]) ).
fof(f6481,plain,
( ~ leq(zero,zero)
| ~ leq(zero,sF5)
| ~ leq(zero,sF6)
| ismeet(zero,sF5,sF6) ),
inference(superposition,[],[f66,f6427]) ).
fof(f6482,plain,
( ~ leq(zero,sF5)
| ~ leq(zero,sF6)
| ismeet(zero,sF5,sF6) ),
inference(forward_subsumption_resolution,[],[f6481,f120]) ).
fof(f6511,plain,
( ~ leq(zero,sF5)
| ismeet(zero,sF5,sF6) ),
inference(forward_subsumption_resolution,[],[f6482,f288]) ).
fof(f6514,plain,
ismeet(zero,sF5,sF6),
inference(forward_subsumption_resolution,[],[f6511,f288]) ).
fof(f6515,plain,
$false,
inference(forward_subsumption_resolution,[],[f6514,f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE033+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n015.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
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 13:07:16 UTC 2026
% 0.11/0.38 % 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
% 13.60/3.04 % (1650551)Detected formulas, will run a generic FOF schedule.
% 13.60/3.04 % (1650572)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=645521478:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.60/3.04 % (1650572)Refutation not found, incomplete strategy
% 13.60/3.04 % (1650572)------------------------------
% 13.60/3.04 % (1650572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.60/3.04 % (1650572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.60/3.04 % (1650572)CaDiCaL version: 2.1.3
% 13.60/3.04 % (1650572)Termination reason: Refutation not found, incomplete strategy
% 13.60/3.04 % (1650572)Time elapsed: 0.001 s
% 13.60/3.04 % (1650572)Peak memory usage: 88 MB
% 13.60/3.04 % (1650572)Instructions burned: 1 (million)
% 13.60/3.04 % (1650571)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=338507635:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.60/3.04 % (1650570)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=2735394644:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.60/3.04 % (1650569)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=729269370:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.60/3.04 % (1650574)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=77744347:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.60/3.04 % (1650575)dis-21_1_sil=8000:lcm=predicate:random_seed=75889587: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)
% 13.60/3.04 % (1650573)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2608613265:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.60/3.04 % (1650575)Instruction limit reached!
% 13.60/3.04 % (1650575)------------------------------
% 13.60/3.04 % (1650575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.60/3.04 % (1650575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.60/3.04 % (1650575)CaDiCaL version: 2.1.3
% 13.60/3.04 % (1650575)Termination reason: Instruction limit
% 13.60/3.04 % (1650575)Termination phase: Saturation
% 13.60/3.04 % (1650575)Time elapsed: 0.071 s
% 13.60/3.04 % (1650575)Peak memory usage: 89 MB
% 13.60/3.04 % (1650575)Instructions burned: 130 (million)
% 13.60/3.04 % (1650574)Instruction limit reached!
% 13.60/3.04 % (1650574)------------------------------
% 13.60/3.04 % (1650574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.60/3.04 % (1650574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.60/3.04 % (1650574)CaDiCaL version: 2.1.3
% 13.60/3.04 % (1650574)Termination reason: Instruction limit
% 13.60/3.04 % (1650574)Termination phase: Saturation
% 13.60/3.04 % (1650574)Time elapsed: 0.080 s
% 13.60/3.04 % (1650574)Peak memory usage: 90 MB
% 13.60/3.04 % (1650574)Instructions burned: 140 (million)
% 13.60/3.04 % (1650573)Instruction limit reached!
% 13.60/3.04 % (1650573)------------------------------
% 13.60/3.04 % (1650573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.60/3.04 % (1650573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.60/3.04 % (1650573)CaDiCaL version: 2.1.3
% 13.60/3.04 % (1650573)Termination reason: Instruction limit
% 13.60/3.04 % (1650573)Termination phase: Saturation
% 13.60/3.04 % (1650573)Time elapsed: 0.085 s
% 13.60/3.04 % (1650573)Peak memory usage: 88 MB
% 13.60/3.04 % (1650573)Instructions burned: 119 (million)
% 13.60/3.04 % (1650572)------------------------------
% 13.60/3.04 % (1650572)------------------------------
% 13.60/3.04 % (1650583)lrs+10_1_sil=8000:sp=occurrence:random_seed=1582747660:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.60/3.04 % (1650593)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3051296829:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.60/3.04 % (1650594)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=3151101984:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 13.60/3.04 % (1650587)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2367706062:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.59/3.20 % (1650594)Instruction limit reached!
% 13.59/3.20 % (1650594)------------------------------
% 13.59/3.20 % (1650594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/3.20 % (1650594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/3.20 % (1650594)CaDiCaL version: 2.1.3
% 13.59/3.20 % (1650594)Termination reason: Instruction limit
% 13.59/3.20 % (1650594)Termination phase: Saturation
% 13.59/3.20 % (1650594)Time elapsed: 0.121 s
% 13.59/3.20 % (1650594)Peak memory usage: 91 MB
% 13.59/3.20 % (1650594)Instructions burned: 250 (million)
% 13.59/3.20 % (1650587)Instruction limit reached!
% 13.59/3.20 % (1650587)------------------------------
% 13.59/3.20 % (1650587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/3.20 % (1650587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/3.20 % (1650587)CaDiCaL version: 2.1.3
% 13.59/3.20 % (1650587)Termination reason: Instruction limit
% 13.59/3.20 % (1650587)Termination phase: Saturation
% 13.59/3.20 % (1650587)Time elapsed: 0.137 s
% 13.59/3.20 % (1650587)Peak memory usage: 89 MB
% 13.59/3.20 % (1650587)Instructions burned: 157 (million)
% 13.59/3.20 % (1650583)Instruction limit reached!
% 13.59/3.20 % (1650583)------------------------------
% 13.59/3.20 % (1650583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/3.20 % (1650583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/3.20 % (1650583)CaDiCaL version: 2.1.3
% 13.59/3.20 % (1650583)Termination reason: Instruction limit
% 13.59/3.20 % (1650583)Termination phase: Saturation
% 13.59/3.20 % (1650583)Time elapsed: 0.293 s
% 13.59/3.20 % (1650583)Peak memory usage: 91 MB
% 13.59/3.20 % (1650583)Instructions burned: 285 (million)
% 13.59/3.20 % (1650607)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4000768800:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 13.59/3.20 % (1650593)Instruction limit reached!
% 13.59/3.20 % (1650593)------------------------------
% 13.59/3.20 % (1650593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/3.20 % (1650593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/3.20 % (1650593)CaDiCaL version: 2.1.3
% 13.59/3.20 % (1650593)Termination reason: Instruction limit
% 13.59/3.20 % (1650593)Termination phase: Saturation
% 13.59/3.20 % (1650593)Time elapsed: 0.306 s
% 13.59/3.20 % (1650593)Peak memory usage: 93 MB
% 13.59/3.20 % (1650593)Instructions burned: 325 (million)
% 13.59/3.20 % (1650608)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=384302928:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 13.59/3.20 % (1650615)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=200115985:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 13.59/3.20 % (1650612)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2956482045:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 13.59/3.20 % (1650607)Instruction limit reached!
% 13.59/3.20 % (1650607)------------------------------
% 13.59/3.20 % (1650607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/3.20 % (1650607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/3.20 % (1650607)CaDiCaL version: 2.1.3
% 13.59/3.20 % (1650607)Termination reason: Instruction limit
% 13.59/3.20 % (1650607)Termination phase: Saturation
% 13.59/3.20 % (1650607)Time elapsed: 0.282 s
% 13.59/3.20 % (1650607)Peak memory usage: 89 MB
% 13.59/3.20 % (1650607)Instructions burned: 294 (million)
% 13.59/3.20 % (1650615)Instruction limit reached!
% 13.59/3.20 % (1650615)------------------------------
% 13.59/3.20 % (1650615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/3.20 % (1650615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/3.20 % (1650615)CaDiCaL version: 2.1.3
% 13.59/3.20 % (1650615)Termination reason: Instruction limit
% 13.59/3.20 % (1650615)Termination phase: Saturation
% 13.59/3.20 % (1650615)Time elapsed: 0.114 s
% 13.59/3.20 % (1650615)Peak memory usage: 88 MB
% 13.59/3.20 % (1650615)Instructions burned: 127 (million)
% 13.59/3.20 % (1650612)Instruction limit reached!
% 13.59/3.20 % (1650612)------------------------------
% 13.59/3.20 % (1650612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/3.20 % (1650612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/3.20 % (1650612)CaDiCaL version: 2.1.3
% 13.59/3.20 % (1650612)Termination reason: Instruction limit
% 13.59/3.20 % (1650612)Termination phase: Saturation
% 13.59/3.20 % (1650612)Time elapsed: 0.128 s
% 13.59/3.20 % (1650612)Peak memory usage: 90 MB
% 13.59/3.20 % (1650612)Instructions burned: 113 (million)
% 13.59/3.20 % (1650625)lrs+10_1_sil=8000:sp=occurrence:random_seed=2007063579:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 13.59/3.20 % (1650623)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3971535925:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 13.59/3.20 % (1650627)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1303307463:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 13.59/3.20 % (1650627)Refutation not found, incomplete strategy
% 13.59/3.20 % (1650627)------------------------------
% 13.59/3.20 % (1650627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/3.20 % (1650627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/3.20 % (1650627)CaDiCaL version: 2.1.3
% 13.59/3.20 % (1650627)Termination reason: Refutation not found, incomplete strategy
% 13.59/3.20 % (1650627)Time elapsed: 0.002 s
% 13.59/3.20 % (1650627)Peak memory usage: 88 MB
% 13.59/3.20 % (1650627)Instructions burned: 1 (million)
% 13.59/3.20 % (1650623)Instruction limit reached!
% 13.59/3.20 % (1650623)------------------------------
% 13.59/3.20 % (1650623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/3.20 % (1650623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/3.20 % (1650623)CaDiCaL version: 2.1.3
% 13.59/3.20 % (1650623)Termination reason: Instruction limit
% 13.59/3.20 % (1650623)Termination phase: Saturation
% 13.59/3.20 % (1650623)Time elapsed: 0.105 s
% 13.59/3.20 % (1650623)Peak memory usage: 89 MB
% 13.59/3.20 % (1650623)Instructions burned: 114 (million)
% 13.59/3.20 % (1650635)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2310407346:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 13.59/3.20 % (1650627)------------------------------
% 13.59/3.20 % (1650627)------------------------------
% 13.59/3.20 % (1650569)First to succeed.
% 13.59/3.20 % (1650569)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1650551"
% 13.59/3.20 % (1650642)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=226409512:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 13.59/3.20 % (1650642)Refutation not found, incomplete strategy
% 13.59/3.20 % (1650642)------------------------------
% 13.59/3.20 % (1650642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/3.20 % (1650642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/3.20 % (1650642)CaDiCaL version: 2.1.3
% 13.59/3.20 % (1650642)Termination reason: Refutation not found, incomplete strategy
% 13.59/3.20 % (1650642)Time elapsed: 0.004 s
% 13.59/3.20 % (1650642)Peak memory usage: 89 MB
% 13.59/3.20 % (1650642)Instructions burned: 2 (million)
% 13.59/3.20 % (1650608)Instruction limit reached!
% 13.59/3.20 % (1650608)------------------------------
% 13.59/3.20 % (1650608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/3.20 % (1650608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/3.20 % (1650608)CaDiCaL version: 2.1.3
% 13.59/3.20 % (1650608)Termination reason: Instruction limit
% 13.59/3.20 % (1650608)Termination phase: Saturation
% 13.59/3.20 % (1650608)Time elapsed: 1.236 s
% 13.59/3.20 % (1650608)Peak memory usage: 144 MB
% 13.59/3.20 % (1650608)Instructions burned: 2350 (million)
% 13.59/3.20 % (1650625)Instruction limit reached!
% 13.59/3.20 % (1650625)------------------------------
% 13.59/3.20 % (1650625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/3.20 % (1650625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/3.20 % (1650625)CaDiCaL version: 2.1.3
% 13.59/3.20 % (1650625)Termination reason: Instruction limit
% 13.59/3.20 % (1650625)Termination phase: Saturation
% 13.59/3.20 % (1650625)Time elapsed: 0.785 s
% 13.59/3.20 % (1650625)Peak memory usage: 95 MB
% 13.59/3.20 % (1650625)Instructions burned: 907 (million)
% 13.59/3.20 % (1650647)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=51893931:st=8:i=592:sd=3:ep=RST:ss=axioms_2980 on theBenchmark for (2980ds/592Mi)
% 13.59/3.20 % (1650647)Refutation not found, incomplete strategy
% 13.59/3.20 % (1650647)------------------------------
% 13.59/3.20 % (1650647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.59/3.20 % (1650647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.59/3.20 % (1650647)CaDiCaL version: 2.1.3
% 13.59/3.20 % (1650647)Termination reason: Refutation not found, incomplete strategy
% 13.59/3.20 % (1650647)Time elapsed: 0.002 s
% 13.59/3.20 % (1650647)Peak memory usage: 88 MB
% 13.59/3.20 % (1650647)Instructions burned: 2 (million)
% 13.59/3.20 % (1650649)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4294541356:st=3:i=13193:sd=3:ss=axioms_2979 on theBenchmark for (2979ds/13193Mi)
% 13.59/3.20 % (1650642)------------------------------
% 13.59/3.20 % (1650642)------------------------------
% 13.59/3.20 % (1650569)Refutation found. Thanks to Tanya!
% 13.59/3.20 % SZS status Theorem for theBenchmark
% 13.59/3.20 % SZS output start Proof for theBenchmark
% See solution above
% 16.96/3.44 % (1650569)------------------------------
% 16.96/3.44 % (1650569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.96/3.44 % (1650569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.96/3.44 % (1650569)CaDiCaL version: 2.1.3
% 16.96/3.44 % (1650569)Termination reason: Refutation
% 16.96/3.44 % (1650569)Time elapsed: 1.705 s
% 16.96/3.44 % (1650569)Peak memory usage: 137 MB
% 16.96/3.44 % (1650569)Instructions burned: 1814 (million)
% 16.96/3.44 % (1650569)------------------------------
% 16.96/3.44 % (1650569)------------------------------
% 16.96/3.44 % (1650551)Success in time 2.324 s
% 16.96/3.44 % Vampire exiting
%------------------------------------------------------------------------------