%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE019+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 11:40:39 AM UTC 2026
% Result : Theorem 73.76s 17.87s
% Output : Refutation 73.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 14
% Syntax : Number of formulae : 136 ( 101 unt; 0 def)
% Number of atoms : 220 ( 124 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 134 ( 50 ~; 45 |; 29 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 131 ( 122 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+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/KLE001+0.ax',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+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/KLE001+0.ax',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+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/KLE001+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/KLE001+0.ax',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',order) ).
fof(f13,axiom,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_1) ).
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/Axioms/KLE001+1.ax',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( ( test(X0)
& test(X1)
& test(X2) )
=> ( leq(X0,addition(X1,X2))
=> leq(multiplication(X0,c(X1)),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( ( test(X0)
& test(X1)
& test(X2) )
=> ( leq(X0,addition(X1,X2))
=> leq(multiplication(X0,c(X1)),X2) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f21,plain,
? [X0,X1,X2] :
( ~ leq(multiplication(X0,c(X1)),X2)
& leq(X0,addition(X1,X2))
& test(X0)
& test(X1)
& test(X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
? [X0,X1,X2] :
( ~ leq(multiplication(X0,c(X1)),X2)
& leq(X0,addition(X1,X2))
& test(X0)
& test(X1)
& test(X2) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f24,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f25,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f26,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( complement(sK0(X0),X0)
| ~ test(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f25]) ).
fof(f27,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(f28,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,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f19]) ).
fof(f30,plain,
( ~ leq(multiplication(sK1,c(sK2)),sK3)
& leq(sK1,addition(sK2,sK3))
& test(sK1)
& test(sK2)
& test(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f22]) ).
fof(f31,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f32,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f33,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f34,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f35,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f36,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f37,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f39,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f42,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f23]) ).
fof(f43,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
! [X0] :
( complement(sK0(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f45,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| test(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f46,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f28]) ).
fof(f47,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f48,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f49,plain,
! [X0,X1] :
( zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| complement(X1,X0)
| addition(X0,X1) != one ),
inference(cnf_transformation,[],[f28]) ).
fof(f50,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f51,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| c(X0) = X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f53,plain,
test(sK3),
inference(cnf_transformation,[],[f30]) ).
fof(f54,plain,
test(sK2),
inference(cnf_transformation,[],[f30]) ).
fof(f55,plain,
test(sK1),
inference(cnf_transformation,[],[f30]) ).
fof(f56,plain,
leq(sK1,addition(sK2,sK3)),
inference(cnf_transformation,[],[f30]) ).
fof(f57,plain,
~ leq(multiplication(sK1,c(sK2)),sK3),
inference(cnf_transformation,[],[f30]) ).
fof(f58,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f50]) ).
fof(f59,plain,
complement(sK0(sK3),sK3),
inference(unit_resulting_resolution,[],[f44,f53]) ).
fof(f60,plain,
complement(sK0(sK2),sK2),
inference(unit_resulting_resolution,[],[f44,f54]) ).
fof(f61,plain,
complement(sK0(sK1),sK1),
inference(unit_resulting_resolution,[],[f44,f55]) ).
fof(f70,plain,
complement(sK2,c(sK2)),
inference(unit_resulting_resolution,[],[f58,f54]) ).
fof(f71,plain,
complement(sK1,c(sK1)),
inference(unit_resulting_resolution,[],[f58,f55]) ).
fof(f81,plain,
test(c(sK1)),
inference(unit_resulting_resolution,[],[f45,f71]) ).
fof(f84,plain,
complement(sK0(c(sK1)),c(sK1)),
inference(unit_resulting_resolution,[],[f44,f81]) ).
fof(f243,plain,
addition(sK2,sK3) = addition(sK1,addition(sK2,sK3)),
inference(unit_resulting_resolution,[],[f42,f56]) ).
fof(f345,plain,
! [X0,X1] :
( addition(X0,X1) != X0
| leq(X1,X0) ),
inference(superposition,[],[f43,f31]) ).
fof(f555,plain,
one = addition(c(sK1),sK0(c(sK1))),
inference(unit_resulting_resolution,[],[f46,f84]) ).
fof(f558,plain,
one = addition(sK1,sK0(sK1)),
inference(unit_resulting_resolution,[],[f46,f61]) ).
fof(f559,plain,
one = addition(sK2,sK0(sK2)),
inference(unit_resulting_resolution,[],[f46,f60]) ).
fof(f560,plain,
one = addition(sK3,sK0(sK3)),
inference(unit_resulting_resolution,[],[f46,f59]) ).
fof(f682,plain,
one = addition(c(sK1),sK1),
inference(resolution,[],[f46,f71]) ).
fof(f683,plain,
one = addition(c(sK2),sK2),
inference(resolution,[],[f46,f70]) ).
fof(f686,plain,
one = addition(sK2,c(sK2)),
inference(forward_demodulation,[],[f683,f31]) ).
fof(f687,plain,
one = addition(sK1,c(sK1)),
inference(forward_demodulation,[],[f682,f31]) ).
fof(f1045,plain,
zero = multiplication(sK0(c(sK1)),c(sK1)),
inference(unit_resulting_resolution,[],[f47,f84]) ).
fof(f1051,plain,
zero = multiplication(sK1,c(sK1)),
inference(unit_resulting_resolution,[],[f47,f71]) ).
fof(f1052,plain,
zero = multiplication(sK2,c(sK2)),
inference(unit_resulting_resolution,[],[f47,f70]) ).
fof(f1324,plain,
zero = multiplication(c(sK1),sK0(c(sK1))),
inference(unit_resulting_resolution,[],[f48,f84]) ).
fof(f1330,plain,
zero = multiplication(c(sK1),sK1),
inference(unit_resulting_resolution,[],[f48,f71]) ).
fof(f1818,plain,
! [X0] : addition(one,X0) = addition(c(sK1),addition(sK0(c(sK1)),X0)),
inference(superposition,[],[f32,f555]) ).
fof(f1834,plain,
! [X0] : addition(one,X0) = addition(sK1,addition(sK0(sK1),X0)),
inference(superposition,[],[f32,f558]) ).
fof(f1836,plain,
! [X0] : addition(one,X0) = addition(sK2,addition(sK0(sK2),X0)),
inference(superposition,[],[f32,f559]) ).
fof(f1837,plain,
! [X0] : addition(one,X0) = addition(sK2,addition(c(sK2),X0)),
inference(superposition,[],[f32,f686]) ).
fof(f1838,plain,
! [X0] : addition(one,X0) = addition(sK3,addition(sK0(sK3),X0)),
inference(superposition,[],[f32,f560]) ).
fof(f1853,plain,
addition(sK1,sK0(sK1)) = addition(one,sK0(sK1)),
inference(superposition,[],[f1834,f34]) ).
fof(f1854,plain,
! [X0] : addition(one,X0) = addition(sK1,addition(X0,sK0(sK1))),
inference(superposition,[],[f1834,f31]) ).
fof(f1859,plain,
one = addition(one,sK0(sK1)),
inference(forward_demodulation,[],[f1853,f558]) ).
fof(f1887,plain,
addition(sK2,sK0(sK2)) = addition(one,sK0(sK2)),
inference(superposition,[],[f1836,f34]) ).
fof(f1888,plain,
! [X0] : addition(one,X0) = addition(sK2,addition(X0,sK0(sK2))),
inference(superposition,[],[f1836,f31]) ).
fof(f1893,plain,
one = addition(one,sK0(sK2)),
inference(forward_demodulation,[],[f1887,f559]) ).
fof(f1901,plain,
addition(sK2,c(sK2)) = addition(one,c(sK2)),
inference(superposition,[],[f1837,f34]) ).
fof(f1907,plain,
one = addition(one,c(sK2)),
inference(forward_demodulation,[],[f1901,f686]) ).
fof(f1921,plain,
addition(sK3,sK0(sK3)) = addition(one,sK0(sK3)),
inference(superposition,[],[f1838,f34]) ).
fof(f1922,plain,
! [X0] : addition(one,X0) = addition(sK3,addition(X0,sK0(sK3))),
inference(superposition,[],[f1838,f31]) ).
fof(f1927,plain,
one = addition(one,sK0(sK3)),
inference(forward_demodulation,[],[f1921,f560]) ).
fof(f1958,plain,
addition(sK1,one) = addition(one,one),
inference(superposition,[],[f1854,f1859]) ).
fof(f1967,plain,
one = addition(sK1,one),
inference(forward_demodulation,[],[f1958,f34]) ).
fof(f1970,plain,
one = addition(one,sK1),
inference(forward_demodulation,[],[f1967,f31]) ).
fof(f2026,plain,
addition(sK2,one) = addition(one,one),
inference(superposition,[],[f1888,f1893]) ).
fof(f2035,plain,
one = addition(sK2,one),
inference(forward_demodulation,[],[f2026,f34]) ).
fof(f2038,plain,
one = addition(one,sK2),
inference(forward_demodulation,[],[f2035,f31]) ).
fof(f2102,plain,
addition(sK3,one) = addition(one,one),
inference(superposition,[],[f1922,f1927]) ).
fof(f2111,plain,
one = addition(sK3,one),
inference(forward_demodulation,[],[f2102,f34]) ).
fof(f2114,plain,
one = addition(one,sK3),
inference(forward_demodulation,[],[f2111,f31]) ).
fof(f2115,plain,
! [X0] : addition(one,X0) = addition(one,addition(sK3,X0)),
inference(superposition,[],[f32,f2114]) ).
fof(f2132,plain,
! [X0] : addition(one,X0) = addition(one,addition(X0,sK3)),
inference(superposition,[],[f2115,f31]) ).
fof(f3848,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f38,f36]) ).
fof(f4002,plain,
! [X0] : multiplication(sK1,addition(X0,c(sK1))) = addition(multiplication(sK1,X0),zero),
inference(superposition,[],[f38,f1051]) ).
fof(f4033,plain,
! [X0] : multiplication(sK1,X0) = multiplication(sK1,addition(X0,c(sK1))),
inference(forward_demodulation,[],[f4002,f33]) ).
fof(f5140,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f39,f37]) ).
fof(f5296,plain,
! [X0] : addition(multiplication(X0,c(sK2)),zero) = multiplication(addition(X0,sK2),c(sK2)),
inference(superposition,[],[f39,f1052]) ).
fof(f5327,plain,
! [X0] : multiplication(X0,c(sK2)) = multiplication(addition(X0,sK2),c(sK2)),
inference(forward_demodulation,[],[f5296,f33]) ).
fof(f5554,plain,
! [X0] : multiplication(sK1,X0) = multiplication(sK1,addition(c(sK1),X0)),
inference(superposition,[],[f4033,f31]) ).
fof(f6150,plain,
! [X0] : multiplication(X0,c(sK2)) = multiplication(addition(sK2,X0),c(sK2)),
inference(superposition,[],[f5327,f31]) ).
fof(f6212,plain,
complement(c(sK1),sK1),
inference(unit_resulting_resolution,[],[f49,f687,f1051,f1330]) ).
fof(f6296,plain,
( zero != zero
| zero != multiplication(sK0(c(sK1)),c(sK1))
| complement(c(sK1),sK0(c(sK1)))
| one != addition(sK0(c(sK1)),c(sK1)) ),
inference(superposition,[],[f49,f1324]) ).
fof(f6409,plain,
( zero != multiplication(sK0(c(sK1)),c(sK1))
| complement(c(sK1),sK0(c(sK1)))
| one != addition(sK0(c(sK1)),c(sK1)) ),
inference(trivial_inequality_removal,[],[f6296]) ).
fof(f6513,plain,
( complement(c(sK1),sK0(c(sK1)))
| one != addition(sK0(c(sK1)),c(sK1)) ),
inference(forward_subsumption_resolution,[],[f6409,f1045]) ).
fof(f6748,plain,
( one != addition(c(sK1),sK0(c(sK1)))
| complement(c(sK1),sK0(c(sK1))) ),
inference(forward_demodulation,[],[f6513,f31]) ).
fof(f6763,plain,
complement(c(sK1),sK0(c(sK1))),
inference(forward_subsumption_resolution,[],[f6748,f555]) ).
fof(f6776,plain,
sK1 = c(c(sK1)),
inference(unit_resulting_resolution,[],[f51,f81,f6212]) ).
fof(f7271,plain,
c(c(sK1)) = sK0(c(sK1)),
inference(unit_resulting_resolution,[],[f51,f81,f6763]) ).
fof(f7283,plain,
sK1 = sK0(c(sK1)),
inference(forward_demodulation,[],[f7271,f6776]) ).
fof(f7292,plain,
! [X0] : addition(one,X0) = addition(c(sK1),addition(sK1,X0)),
inference(superposition,[],[f1818,f7283]) ).
fof(f7336,plain,
addition(one,addition(sK2,sK3)) = addition(c(sK1),addition(sK2,sK3)),
inference(superposition,[],[f7292,f243]) ).
fof(f7371,plain,
addition(one,sK2) = addition(c(sK1),addition(sK2,sK3)),
inference(forward_demodulation,[],[f7336,f2132]) ).
fof(f7382,plain,
one = addition(c(sK1),addition(sK2,sK3)),
inference(forward_demodulation,[],[f7371,f2038]) ).
fof(f7384,plain,
multiplication(sK1,one) = multiplication(sK1,addition(sK2,sK3)),
inference(superposition,[],[f5554,f7382]) ).
fof(f7392,plain,
sK1 = multiplication(sK1,addition(sK2,sK3)),
inference(forward_demodulation,[],[f7384,f36]) ).
fof(f7405,plain,
! [X0] : multiplication(sK1,X0) = multiplication(sK1,multiplication(addition(sK2,sK3),X0)),
inference(superposition,[],[f35,f7392]) ).
fof(f14008,plain,
multiplication(sK1,c(sK2)) = multiplication(sK1,multiplication(sK3,c(sK2))),
inference(superposition,[],[f7405,f6150]) ).
fof(f18144,plain,
! [X2,X0,X1] :
( addition(X0,X1) != addition(X0,addition(X1,X2))
| leq(X2,addition(X0,X1)) ),
inference(superposition,[],[f345,f32]) ).
fof(f62440,plain,
! [X0] : multiplication(X0,one) = addition(X0,multiplication(X0,c(sK2))),
inference(superposition,[],[f3848,f1907]) ).
fof(f63520,plain,
! [X0] : addition(X0,multiplication(X0,c(sK2))) = X0,
inference(forward_demodulation,[],[f62440,f36]) ).
fof(f80158,plain,
! [X0] : multiplication(one,X0) = addition(X0,multiplication(sK1,X0)),
inference(superposition,[],[f5140,f1970]) ).
fof(f81284,plain,
! [X0] : addition(X0,multiplication(sK1,X0)) = X0,
inference(forward_demodulation,[],[f80158,f37]) ).
fof(f444462,plain,
! [X0,X1] :
( addition(X1,X0) != addition(X1,X0)
| leq(multiplication(X0,c(sK2)),addition(X1,X0)) ),
inference(superposition,[],[f18144,f63520]) ).
fof(f445060,plain,
! [X0,X1] : leq(multiplication(X0,c(sK2)),addition(X1,X0)),
inference(trivial_inequality_removal,[],[f444462]) ).
fof(f466168,plain,
! [X0] : leq(multiplication(multiplication(sK1,X0),c(sK2)),X0),
inference(superposition,[],[f445060,f81284]) ).
fof(f466701,plain,
! [X0] : leq(multiplication(sK1,multiplication(X0,c(sK2))),X0),
inference(forward_demodulation,[],[f466168,f35]) ).
fof(f474766,plain,
leq(multiplication(sK1,c(sK2)),sK3),
inference(superposition,[],[f466701,f14008]) ).
fof(f474772,plain,
$false,
inference(forward_subsumption_resolution,[],[f474766,f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE019+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 % Computer : n017.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 12:54:20 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 20.33/3.32 % (2527656)Will run a generic schedule for satisfiability detection.
% 20.33/3.32 % (2527661)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1912611019_2999 on theBenchmark for (2999ds/0Mi)
% 20.33/3.32 % TRYING [1]
% 20.33/3.32 % TRYING [2]
% 20.33/3.32 % TRYING [3]
% 20.33/3.32 % (2527662)% WARNING: option uhcvi not known.
% 20.33/3.32 % TRYING [4]
% 20.33/3.32 % (2527662)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3159825031:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 20.33/3.32 % (2527665)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=487179960:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 20.33/3.32 % (2527664)dis+10_1_sil=32000:sp=arity:random_seed=3051090168:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 20.33/3.32 % (2527663)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1499969849:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 20.33/3.32 % (2527666)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1470065936:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 20.33/3.32 % (2527667)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2086253593:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 20.33/3.32 % TRYING [5]
% 20.33/3.32 % TRYING [6]
% 20.33/3.32 % (2527664)Instruction limit reached!
% 20.33/3.32 % (2527664)------------------------------
% 20.33/3.32 % (2527664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.33/3.32 % (2527664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.33/3.32 % (2527664)CaDiCaL version: 2.1.3
% 20.33/3.32 % (2527664)Termination reason: Instruction limit
% 20.33/3.32 % (2527664)Termination phase: Saturation
% 20.33/3.32 % (2527664)Time elapsed: 0.062 s
% 20.33/3.32 % (2527664)Peak memory usage: 13 MB
% 20.33/3.32 % (2527664)Instructions burned: 104 (million)
% 20.33/3.32 % (2527665)Instruction limit reached!
% 20.33/3.32 % (2527665)------------------------------
% 20.33/3.32 % (2527665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.33/3.32 % (2527665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.33/3.32 % (2527665)CaDiCaL version: 2.1.3
% 20.33/3.32 % (2527665)Termination reason: Instruction limit
% 20.33/3.32 % (2527665)Termination phase: Saturation
% 20.33/3.32 % (2527665)Time elapsed: 0.068 s
% 20.33/3.32 % (2527665)Peak memory usage: 13 MB
% 20.33/3.32 % (2527665)Instructions burned: 117 (million)
% 20.33/3.32 % (2527666)Instruction limit reached!
% 20.33/3.32 % (2527666)------------------------------
% 20.33/3.32 % (2527666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.33/3.32 % (2527666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.33/3.32 % (2527666)CaDiCaL version: 2.1.3
% 20.33/3.32 % (2527666)Termination reason: Instruction limit
% 20.33/3.32 % (2527666)Termination phase: Saturation
% 20.33/3.32 % (2527666)Time elapsed: 0.074 s
% 20.33/3.32 % (2527666)Peak memory usage: 13 MB
% 20.33/3.32 % (2527666)Instructions burned: 132 (million)
% 20.33/3.32 % (2527696)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4080020584:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 20.33/3.32 % TRYING [1]
% 20.33/3.32 % TRYING [2]
% 20.33/3.32 % (2527697)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2453529917:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 20.33/3.32 % TRYING [3]
% 20.33/3.32 % TRYING [7]
% 20.33/3.32 % TRYING [4]
% 20.33/3.32 % (2527701)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=553347724:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 20.33/3.32 % (2527667)Instruction limit reached!
% 20.33/3.32 % (2527667)------------------------------
% 20.33/3.32 % (2527667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.33/3.32 % (2527667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.33/3.32 % (2527667)CaDiCaL version: 2.1.3
% 20.33/3.32 % (2527667)Termination reason: Instruction limit
% 20.33/3.32 % (2527667)Termination phase: Saturation
% 20.33/3.32 % (2527667)Time elapsed: 0.106 s
% 20.33/3.32 % (2527667)Peak memory usage: 13 MB
% 20.33/3.32 % (2527667)Instructions burned: 159 (million)
% 20.33/3.32 % TRYING [5]
% 20.33/3.32 % (2527714)ott-21_1_sil=16000:fs=off:random_seed=2501717110:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 20.33/3.32 % TRYING [6]
% 20.33/3.32 % (2527697)Instruction limit reached!
% 20.33/3.32 % (2527697)------------------------------
% 20.33/3.32 % (2527697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.12/8.23 % (2527697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.12/8.23 % (2527697)CaDiCaL version: 2.1.3
% 55.12/8.23 % (2527697)Termination reason: Instruction limit
% 55.12/8.23 % (2527697)Termination phase: Saturation
% 55.12/8.23 % (2527697)Time elapsed: 0.089 s
% 55.12/8.23 % (2527697)Peak memory usage: 13 MB
% 55.12/8.23 % (2527697)Instructions burned: 132 (million)
% 55.12/8.23 % (2527732)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=922256306:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 55.12/8.23 % (2527714)Instruction limit reached!
% 55.12/8.23 % (2527714)------------------------------
% 55.12/8.23 % (2527714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.12/8.23 % (2527714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.12/8.23 % (2527714)CaDiCaL version: 2.1.3
% 55.12/8.23 % (2527714)Termination reason: Instruction limit
% 55.12/8.23 % (2527714)Termination phase: Saturation
% 55.12/8.23 % (2527714)Time elapsed: 0.080 s
% 55.12/8.23 % (2527714)Peak memory usage: 12 MB
% 55.12/8.23 % (2527714)Instructions burned: 182 (million)
% 55.12/8.23 % (2527749)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2727141459:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 55.12/8.23 % TRYING [1]
% 55.12/8.23 % TRYING [2]
% 55.12/8.23 % TRYING [3]
% 55.12/8.23 % TRYING [4]
% 55.12/8.23 % TRYING [5]
% 55.12/8.23 % TRYING [8]
% 55.12/8.23 % TRYING [7]
% 55.12/8.23 % (2527696)Instruction limit reached!
% 55.12/8.23 % (2527696)------------------------------
% 55.12/8.23 % (2527696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.12/8.23 % (2527696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.12/8.23 % (2527696)CaDiCaL version: 2.1.3
% 55.12/8.23 % (2527696)Termination reason: Instruction limit
% 55.12/8.23 % (2527696)Termination phase: Finite model building constraint generation
% 55.12/8.23 % (2527696)Time elapsed: 0.275 s
% 55.12/8.23 % (2527696)Peak memory usage: 30 MB
% 55.12/8.23 % (2527696)Instructions burned: 717 (million)
% 55.12/8.23 % TRYING [6]
% 55.12/8.23 % (2527777)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2327848725:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 55.12/8.23 % (2527701)Instruction limit reached!
% 55.12/8.23 % (2527701)------------------------------
% 55.12/8.23 % (2527701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.12/8.23 % (2527701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.12/8.23 % (2527701)CaDiCaL version: 2.1.3
% 55.12/8.23 % (2527701)Termination reason: Instruction limit
% 55.12/8.23 % (2527701)Termination phase: Saturation
% 55.12/8.23 % (2527701)Time elapsed: 0.362 s
% 55.12/8.23 % (2527701)Peak memory usage: 18 MB
% 55.12/8.23 % (2527701)Instructions burned: 684 (million)
% 55.12/8.23 % (2527790)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=887834672:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 55.12/8.23 % (2527732)Instruction limit reached!
% 55.12/8.23 % (2527732)------------------------------
% 55.12/8.23 % (2527732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.12/8.23 % (2527732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.12/8.23 % (2527732)CaDiCaL version: 2.1.3
% 55.12/8.23 % (2527732)Termination reason: Instruction limit
% 55.12/8.23 % (2527732)Termination phase: Saturation
% 55.12/8.23 % (2527732)Time elapsed: 0.298 s
% 55.12/8.23 % (2527732)Peak memory usage: 16 MB
% 55.12/8.23 % (2527732)Instructions burned: 477 (million)
% 55.12/8.23 % (2527792)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=4248297988: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)
% 55.12/8.23 % (2527749)Instruction limit reached!
% 55.12/8.23 % (2527749)------------------------------
% 55.12/8.23 % (2527749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.12/8.23 % (2527749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.12/8.23 % (2527749)CaDiCaL version: 2.1.3
% 55.12/8.23 % (2527749)Termination reason: Instruction limit
% 55.12/8.23 % (2527749)Termination phase: Finite model building SAT solving
% 55.12/8.23 % (2527749)Time elapsed: 0.340 s
% 55.12/8.23 % (2527749)Peak memory usage: 24 MB
% 55.12/8.23 % (2527749)Instructions burned: 865 (million)
% 55.12/8.23 % (2527794)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4101918037:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 107.60/15.61 % TRYING [14]
% 107.60/15.61 % TRYING [9]
% 107.60/15.61 % (2527790)Instruction limit reached!
% 107.60/15.61 % (2527790)------------------------------
% 107.60/15.61 % (2527790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 107.60/15.61 % (2527790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.60/15.61 % (2527790)CaDiCaL version: 2.1.3
% 107.60/15.61 % (2527790)Termination reason: Instruction limit
% 107.60/15.61 % (2527790)Termination phase: Finite model building constraint generation
% 107.60/15.61 % (2527790)Time elapsed: 0.343 s
% 107.60/15.61 % (2527790)Peak memory usage: 81 MB
% 107.60/15.61 % (2527790)Instructions burned: 890 (million)
% 107.60/15.61 % (2527809)fmb+10_1_sil=64000:random_seed=1699501770:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 107.60/15.61 % TRYING [1]
% 107.60/15.61 % TRYING [2]
% 107.60/15.61 % TRYING [3]
% 107.60/15.61 % TRYING [4]
% 107.60/15.61 % TRYING [5]
% 107.60/15.61 % TRYING [6]
% 107.60/15.61 % (2527792)Instruction limit reached!
% 107.60/15.61 % (2527792)------------------------------
% 107.60/15.61 % (2527792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 107.60/15.61 % (2527792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.60/15.61 % (2527792)CaDiCaL version: 2.1.3
% 107.60/15.61 % (2527792)Termination reason: Instruction limit
% 107.60/15.61 % (2527792)Termination phase: Saturation
% 107.60/15.61 % (2527792)Time elapsed: 0.510 s
% 107.60/15.61 % (2527792)Peak memory usage: 20 MB
% 107.60/15.61 % (2527792)Instructions burned: 693 (million)
% 107.60/15.61 % (2527777)Instruction limit reached!
% 107.60/15.61 % (2527777)------------------------------
% 107.60/15.61 % (2527777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 107.60/15.61 % (2527777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.60/15.61 % (2527777)CaDiCaL version: 2.1.3
% 107.60/15.61 % (2527777)Termination reason: Instruction limit
% 107.60/15.61 % (2527777)Termination phase: Saturation
% 107.60/15.61 % (2527777)Time elapsed: 0.649 s
% 107.60/15.61 % (2527777)Peak memory usage: 18 MB
% 107.60/15.61 % (2527777)Instructions burned: 1180 (million)
% 107.60/15.61 % (2527811)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=826959594:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 107.60/15.61 % (2527812)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3597314180:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 107.60/15.61 % TRYING [8]
% 107.60/15.61 % TRYING [20]
% 107.60/15.61 % (2527794)Instruction limit reached!
% 107.60/15.61 % (2527794)------------------------------
% 107.60/15.61 % (2527794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 107.60/15.61 % (2527794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.60/15.61 % (2527794)CaDiCaL version: 2.1.3
% 107.60/15.61 % (2527794)Termination reason: Instruction limit
% 107.60/15.61 % (2527794)Termination phase: Saturation
% 107.60/15.61 % (2527794)Time elapsed: 0.512 s
% 107.60/15.61 % (2527794)Peak memory usage: 19 MB
% 107.60/15.61 % (2527794)Instructions burned: 879 (million)
% 107.60/15.61 % (2527815)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4185727117:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 107.60/15.61 % TRYING [7]
% 107.60/15.61 % (2527812)Instruction limit reached!
% 107.60/15.61 % (2527812)------------------------------
% 107.60/15.61 % (2527812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 107.60/15.61 % (2527812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.60/15.61 % (2527812)CaDiCaL version: 2.1.3
% 107.60/15.61 % (2527812)Termination reason: Instruction limit
% 107.60/15.61 % (2527812)Termination phase: Finite model building constraint generation
% 107.60/15.61 % (2527812)Time elapsed: 0.407 s
% 107.60/15.61 % (2527812)Peak memory usage: 65 MB
% 107.60/15.61 % (2527812)Instructions burned: 920 (million)
% 107.60/15.61 % (2527827)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3140630298:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 107.60/15.61 % TRYING [8]
% 107.60/15.61 % (2527827)Instruction limit reached!
% 107.60/15.61 % (2527827)------------------------------
% 107.60/15.61 % (2527827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 107.60/15.61 % (2527827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.60/15.61 % (2527827)CaDiCaL version: 2.1.3
% 107.60/15.61 % (2527827)Termination reason: Instruction limit
% 107.60/15.61 % (2527827)Termination phase: Saturation
% 107.60/15.61 % (2527827)Time elapsed: 1.284 s
% 107.60/15.61 % (2527827)Peak memory usage: 25 MB
% 107.60/15.61 % (2527827)Instructions burned: 1473 (million)
% 107.60/15.61 % (2527855)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=290120908:i=6324_2971 on theBenchmark for (2971ds/6324Mi)
% 73.76/17.87 % TRYING [77]
% 73.76/17.87 % TRYING [10]
% 73.76/17.87 % TRYING [9]
% 73.76/17.87 % (2527815)Instruction limit reached!
% 73.76/17.87 % (2527815)------------------------------
% 73.76/17.87 % (2527815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.76/17.87 % (2527815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.76/17.87 % (2527815)CaDiCaL version: 2.1.3
% 73.76/17.87 % (2527815)Termination reason: Instruction limit
% 73.76/17.87 % (2527815)Termination phase: Saturation
% 73.76/17.87 % (2527815)Time elapsed: 3.471 s
% 73.76/17.87 % (2527815)Peak memory usage: 47 MB
% 73.76/17.87 % (2527815)Instructions burned: 5132 (million)
% 73.76/17.87 % (2528013)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3793766530:fmbsr=2.30978:i=2174_2953 on theBenchmark for (2953ds/2174Mi)
% 73.76/17.87 % TRYING [16]
% 73.76/17.87 % (2527855)Instruction limit reached!
% 73.76/17.87 % (2527855)------------------------------
% 73.76/17.87 % (2527855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.76/17.87 % (2527855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.76/17.87 % (2527855)CaDiCaL version: 2.1.3
% 73.76/17.87 % (2527855)Termination reason: Instruction limit
% 73.76/17.87 % (2527855)Termination phase: Finite model building constraint generation
% 73.76/17.87 % (2527855)Time elapsed: 2.464 s
% 73.76/17.87 % (2527855)Peak memory usage: 465 MB
% 73.76/17.87 % (2527855)Instructions burned: 6324 (million)
% 73.76/17.87 % (2527811)Instruction limit reached!
% 73.76/17.87 % (2527811)------------------------------
% 73.76/17.87 % (2527811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.76/17.87 % (2527811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.76/17.87 % (2527811)CaDiCaL version: 2.1.3
% 73.76/17.87 % (2527811)Termination reason: Instruction limit
% 73.76/17.87 % (2527811)Termination phase: Finite model building constraint generation
% 73.76/17.87 % (2527811)Time elapsed: 4.303 s
% 73.76/17.87 % (2527811)Peak memory usage: 666 MB
% 73.76/17.87 % (2527811)Instructions burned: 9515 (million)
% 73.76/17.87 % (2528013)Instruction limit reached!
% 73.76/17.87 % (2528013)------------------------------
% 73.76/17.87 % (2528013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.76/17.87 % (2528013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.76/17.87 % (2528013)CaDiCaL version: 2.1.3
% 73.76/17.87 % (2528013)Termination reason: Instruction limit
% 73.76/17.87 % (2528013)Termination phase: Finite model building constraint generation
% 73.76/17.87 % (2528013)Time elapsed: 0.740 s
% 73.76/17.87 % (2528013)Peak memory usage: 135 MB
% 73.76/17.87 % (2528013)Instructions burned: 2176 (million)
% 73.76/17.87 % (2528015)ott-2_1_sil=16000:newcnf=on:random_seed=213767718:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2945 on theBenchmark for (2945ds/869Mi)
% 73.76/17.87 % (2528016)ott+10_1_sil=32000:tgt=ground:random_seed=2343944905:i=5114:av=off_2945 on theBenchmark for (2945ds/5114Mi)
% 73.76/17.87 % (2528019)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1478784706:i=54282_2945 on theBenchmark for (2945ds/54282Mi)
% 73.76/17.87 % TRYING [1]
% 73.76/17.87 % TRYING [2]
% 73.76/17.87 % TRYING [3]
% 73.76/17.87 % TRYING [4]
% 73.76/17.87 % TRYING [5]
% 73.76/17.87 % TRYING [6]
% 73.76/17.87 % TRYING [7]
% 73.76/17.87 % (2528015)Instruction limit reached!
% 73.76/17.87 % (2528015)------------------------------
% 73.76/17.87 % (2528015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.76/17.87 % (2528015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.76/17.87 % (2528015)CaDiCaL version: 2.1.3
% 73.76/17.87 % (2528015)Termination reason: Instruction limit
% 73.76/17.87 % (2528015)Termination phase: Saturation
% 73.76/17.87 % (2528015)Time elapsed: 0.533 s
% 73.76/17.87 % (2528015)Peak memory usage: 16 MB
% 73.76/17.87 % (2528015)Instructions burned: 871 (million)
% 73.76/17.87 % (2528021)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=760267991:i=3512:aac=none_2940 on theBenchmark for (2940ds/3512Mi)
% 73.76/17.87 % TRYING [8]
% 73.76/17.87 % TRYING [10]
% 73.76/17.87 % TRYING [9]
% 73.76/17.87 % (2528021)Instruction limit reached!
% 73.76/17.87 % (2528021)------------------------------
% 73.76/17.87 % (2528021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.76/17.87 % (2528021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.76/17.87 % (2528021)CaDiCaL version: 2.1.3
% 73.76/17.87 % (2528021)Termination reason: Instruction limit
% 73.76/17.87 % (2528021)Termination phase: Saturation
% 73.76/17.87 % (2528021)Time elapsed: 1.800 s
% 73.76/17.87 % (2528021)Peak memory usage: 36 MB
% 73.76/17.87 % (2528021)Instructions burned: 3514 (million)
% 73.76/17.87 % (2528023)dis+21_1_sil=32000:sas=cadical:random_seed=2401447350:i=3773:amm=off_2921 on theBenchmark for (2921ds/3773Mi)
% 73.76/17.87 % (2528016)Instruction limit reached!
% 73.76/17.87 % (2528016)------------------------------
% 73.76/17.87 % (2528016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.76/17.87 % (2528016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.76/17.87 % (2528016)CaDiCaL version: 2.1.3
% 73.76/17.87 % (2528016)Termination reason: Instruction limit
% 73.76/17.87 % (2528016)Termination phase: Saturation
% 73.76/17.87 % (2528016)Time elapsed: 3.011 s
% 73.76/17.87 % (2528016)Peak memory usage: 43 MB
% 73.76/17.87 % (2528016)Instructions burned: 5114 (million)
% 73.76/17.87 % (2528025)ott+11_1_sil=16000:gs=on:random_seed=2657456631:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2915 on theBenchmark for (2915ds/2251Mi)
% 73.76/17.87 % TRYING [10]
% 73.76/17.87 % (2528023)Instruction limit reached!
% 73.76/17.87 % (2528023)------------------------------
% 73.76/17.87 % (2528023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.76/17.87 % (2528023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.76/17.87 % (2528023)CaDiCaL version: 2.1.3
% 73.76/17.87 % (2528023)Termination reason: Instruction limit
% 73.76/17.87 % (2528023)Termination phase: Saturation
% 73.76/17.87 % (2528023)Time elapsed: 1.926 s
% 73.76/17.87 % (2528023)Peak memory usage: 38 MB
% 73.76/17.87 % (2528023)Instructions burned: 3773 (million)
% 73.76/17.87 % (2528027)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=290686059:fmbsr=1.6:i=67534_2902 on theBenchmark for (2902ds/67534Mi)
% 73.76/17.87 % TRYING [7]
% 73.76/17.87 % (2528025)Instruction limit reached!
% 73.76/17.87 % (2528025)------------------------------
% 73.76/17.87 % (2528025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.76/17.87 % (2528025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.76/17.87 % (2528025)CaDiCaL version: 2.1.3
% 73.76/17.87 % (2528025)Termination reason: Instruction limit
% 73.76/17.87 % (2528025)Termination phase: Saturation
% 73.76/17.87 % (2528025)Time elapsed: 1.307 s
% 73.76/17.87 % (2528025)Peak memory usage: 26 MB
% 73.76/17.87 % (2528025)Instructions burned: 2251 (million)
% 73.76/17.87 % (2528029)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2762518855:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2902 on theBenchmark for (2902ds/4591Mi)
% 73.76/17.87 % (2527809)Instruction limit reached!
% 73.76/17.87 % (2527809)------------------------------
% 73.76/17.87 % (2527809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.76/17.87 % (2527809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.76/17.87 % (2527809)CaDiCaL version: 2.1.3
% 73.76/17.87 % (2527809)Termination reason: Instruction limit
% 73.76/17.87 % (2527809)Termination phase: Finite model building SAT solving
% 73.76/17.87 % (2527809)Time elapsed: 9.384 s
% 73.76/17.87 % (2527809)Peak memory usage: 181 MB
% 73.76/17.87 % (2527809)Instructions burned: 22062 (million)
% 73.76/17.87 % (2528031)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=463666227:i=29340_2897 on theBenchmark for (2897ds/29340Mi)
% 73.76/17.87 % TRYING [8]
% 73.76/17.87 % (2528029)Instruction limit reached!
% 73.76/17.87 % (2528029)------------------------------
% 73.76/17.87 % (2528029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.76/17.87 % (2528029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.76/17.87 % (2528029)CaDiCaL version: 2.1.3
% 73.76/17.87 % (2528029)Termination reason: Instruction limit
% 73.76/17.87 % (2528029)Termination phase: Saturation
% 73.76/17.87 % (2528029)Time elapsed: 2.439 s
% 73.76/17.87 % (2528029)Peak memory usage: 75 MB
% 73.76/17.87 % (2528029)Instructions burned: 4591 (million)
% 73.76/17.87 % (2528033)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1064932995:i=5211_2877 on theBenchmark for (2877ds/5211Mi)
% 73.76/17.87 % TRYING [9]
% 73.76/17.87 % TRYING [11]
% 73.76/17.87 % (2528033)Instruction limit reached!
% 73.76/17.87 % (2528033)------------------------------
% 73.76/17.87 % (2528033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.76/17.87 % (2528033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.76/17.87 % (2528033)CaDiCaL version: 2.1.3
% 73.76/17.87 % (2528033)Termination reason: Instruction limit
% 73.76/17.87 % (2528033)Termination phase: Saturation
% 73.76/17.87 % (2528033)Time elapsed: 2.873 s
% 73.76/17.87 % (2528033)Peak memory usage: 50 MB
% 73.76/17.87 % (2528033)Instructions burned: 5212 (million)
% 73.76/17.87 % (2528293)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=185637650:i=5497:nm=2_2848 on theBenchmark for (2848ds/5497Mi)
% 73.76/17.87 % TRYING [17]
% 73.76/17.87 % TRYING [10]
% 73.76/17.87 % (2528031) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2527656-2528031"...
% 73.76/17.87 % (2528031)...printing done.
% 73.76/17.87 % (2528031)Refutation found. Thanks to Tanya!
% 73.76/17.87 % SZS status Theorem for theBenchmark
% 73.76/17.87 % SZS output start Proof for theBenchmark
% See solution above
% 73.76/17.87 % (2528031)------------------------------
% 73.76/17.87 % (2528031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.76/17.87 % (2528031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.76/17.87 % (2528031)CaDiCaL version: 2.1.3
% 73.76/17.87 % (2528031)Termination reason: Refutation
% 73.76/17.87 % (2528031)Time elapsed: 6.943 s
% 73.76/17.87 % (2528031)Peak memory usage: 89 MB
% 73.76/17.87 % (2528031)Instructions burned: 11801 (million)
% 73.76/17.87 % (2527656)Success in time 17.435 s
% 73.76/17.87 % Vampire exiting
%------------------------------------------------------------------------------