%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE023+2 : 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 : 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 11:40:06 AM UTC 2026
% Result : Theorem 11.81s 7.34s
% Output : Refutation 12.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 23
% Syntax : Number of formulae : 170 ( 138 unt; 9 def)
% Number of atoms : 232 ( 173 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 102 ( 40 ~; 33 |; 20 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 137 ( 0 sgn 131 !; 6 ?)
% 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(f10,axiom,
! [X0] : multiplication(X0,zero) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_annihilation) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
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(f19,conjecture,
! [X0,X1,X2] :
( ( test(X1)
& test(X2) )
=> ( addition(multiplication(X1,X0),multiplication(X0,X2)) = multiplication(X0,X2)
=> addition(multiplication(X0,c(X2)),multiplication(c(X1),X0)) = multiplication(c(X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X0,X1,X2] :
( ( test(X1)
& test(X2) )
=> ( addition(multiplication(X1,X0),multiplication(X0,X2)) = multiplication(X0,X2)
=> addition(multiplication(X0,c(X2)),multiplication(c(X1),X0)) = multiplication(c(X1),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(f27,plain,
? [X0,X1,X2] :
( multiplication(c(X1),X0) != addition(multiplication(X0,c(X2)),multiplication(c(X1),X0))
& addition(multiplication(X1,X0),multiplication(X0,X2)) = multiplication(X0,X2)
& test(X1)
& test(X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f28,plain,
? [X0,X1,X2] :
( multiplication(c(X1),X0) != addition(multiplication(X0,c(X2)),multiplication(c(X1),X0))
& addition(multiplication(X1,X0),multiplication(X0,X2)) = multiplication(X0,X2)
& test(X1)
& test(X2) ),
inference(flattening,[],[f27]) ).
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(nnf_transformation,[],[f14]) ).
fof(f33,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,[],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f21]) ).
fof(f35,plain,
( multiplication(c(sK2),sK1) != addition(multiplication(sK1,c(sK3)),multiplication(c(sK2),sK1))
& multiplication(sK1,sK3) = addition(multiplication(sK2,sK1),multiplication(sK1,sK3))
& test(sK2)
& test(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f28]) ).
fof(f36,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f37,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f38,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f39,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f40,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f41,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f42,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f43,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f44,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f45,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f46,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f49,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f33]) ).
fof(f50,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f51,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f53,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f58,plain,
test(sK3),
inference(cnf_transformation,[],[f35]) ).
fof(f59,plain,
test(sK2),
inference(cnf_transformation,[],[f35]) ).
fof(f60,plain,
multiplication(sK1,sK3) = addition(multiplication(sK2,sK1),multiplication(sK1,sK3)),
inference(cnf_transformation,[],[f35]) ).
fof(f61,plain,
multiplication(c(sK2),sK1) != addition(multiplication(sK1,c(sK3)),multiplication(c(sK2),sK1)),
inference(cnf_transformation,[],[f35]) ).
fof(f62,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f53]) ).
fof(f63,definition,
sF4 = c(sK2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f64,plain,
c(sK2) = sF4,
inference(reorient_equations,[],[f63]) ).
fof(f65,definition,
sF5 = multiplication(sF4,sK1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f66,plain,
multiplication(sF4,sK1) = sF5,
inference(reorient_equations,[],[f65]) ).
fof(f67,definition,
sF6 = c(sK3),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f68,plain,
c(sK3) = sF6,
inference(reorient_equations,[],[f67]) ).
fof(f69,definition,
sF7 = multiplication(sK1,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f70,plain,
multiplication(sK1,sF6) = sF7,
inference(reorient_equations,[],[f69]) ).
fof(f71,definition,
sF8 = addition(sF7,sF5),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f72,plain,
addition(sF7,sF5) = sF8,
inference(reorient_equations,[],[f71]) ).
fof(f73,plain,
sF5 != sF8,
inference(definition_folding,[],[f61,f72,f66,f64,f70,f68,f66,f64]) ).
fof(f74,definition,
sF9 = multiplication(sK1,sK3),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f75,plain,
multiplication(sK1,sK3) = sF9,
inference(reorient_equations,[],[f74]) ).
fof(f76,definition,
sF10 = multiplication(sK2,sK1),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f77,plain,
multiplication(sK2,sK1) = sF10,
inference(reorient_equations,[],[f76]) ).
fof(f78,definition,
sF11 = addition(sF10,sF9),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f79,plain,
addition(sF10,sF9) = sF11,
inference(reorient_equations,[],[f78]) ).
fof(f80,plain,
sF9 = sF11,
inference(definition_folding,[],[f60,f79,f75,f77,f75]) ).
fof(f81,plain,
sF9 = addition(sF10,sF9),
inference(forward_demodulation,[],[f79,f80]) ).
fof(f84,plain,
! [X0] : multiplication(sK2,addition(sK1,X0)) = addition(sF10,multiplication(sK2,X0)),
inference(superposition,[],[f43,f77]) ).
fof(f85,plain,
! [X0] : multiplication(sF4,addition(sK1,X0)) = addition(sF5,multiplication(sF4,X0)),
inference(superposition,[],[f43,f66]) ).
fof(f87,plain,
! [X0] : multiplication(sK1,addition(X0,sF6)) = addition(multiplication(sK1,X0),sF7),
inference(superposition,[],[f43,f70]) ).
fof(f99,plain,
( complement(sK3,sF6)
| ~ test(sK3) ),
inference(superposition,[],[f62,f68]) ).
fof(f100,plain,
( complement(sK2,sF4)
| ~ test(sK2) ),
inference(superposition,[],[f62,f64]) ).
fof(f101,plain,
complement(sK2,sF4),
inference(forward_subsumption_resolution,[],[f100,f59]) ).
fof(f102,plain,
complement(sK3,sF6),
inference(forward_subsumption_resolution,[],[f99,f58]) ).
fof(f103,plain,
! [X0] : multiplication(addition(sK1,X0),sK3) = addition(sF9,multiplication(X0,sK3)),
inference(superposition,[],[f44,f75]) ).
fof(f105,plain,
! [X0] : multiplication(addition(sK2,X0),sK1) = addition(sF10,multiplication(X0,sK1)),
inference(superposition,[],[f44,f77]) ).
fof(f106,plain,
! [X0] : multiplication(addition(sF4,X0),sK1) = addition(sF5,multiplication(X0,sK1)),
inference(superposition,[],[f44,f66]) ).
fof(f129,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f37,f43]) ).
fof(f131,plain,
! [X0] : addition(sF7,addition(sF5,X0)) = addition(sF8,X0),
inference(superposition,[],[f37,f72]) ).
fof(f137,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f36,f37]) ).
fof(f143,plain,
! [X0] : multiplication(sK1,multiplication(sK3,X0)) = multiplication(sF9,X0),
inference(superposition,[],[f40,f75]) ).
fof(f145,plain,
! [X0] : multiplication(sK2,multiplication(sK1,X0)) = multiplication(sF10,X0),
inference(superposition,[],[f40,f77]) ).
fof(f146,plain,
! [X0] : multiplication(sF4,multiplication(sK1,X0)) = multiplication(sF5,X0),
inference(superposition,[],[f40,f66]) ).
fof(f160,plain,
multiplication(sF10,sK3) = multiplication(sK2,sF9),
inference(superposition,[],[f145,f75]) ).
fof(f181,plain,
one = addition(sF4,sK2),
inference(resolution,[],[f101,f49]) ).
fof(f183,plain,
one = addition(sF6,sK3),
inference(resolution,[],[f102,f49]) ).
fof(f201,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f44,f42]) ).
fof(f262,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,[],[f129,f44]) ).
fof(f307,plain,
! [X0,X1] : addition(multiplication(X0,sF4),multiplication(addition(X0,X1),sK2)) = addition(multiplication(X0,one),multiplication(X1,sK2)),
inference(superposition,[],[f262,f181]) ).
fof(f308,plain,
! [X0,X1] : addition(multiplication(X0,sF6),multiplication(addition(X0,X1),sK3)) = addition(multiplication(X0,one),multiplication(X1,sK3)),
inference(superposition,[],[f262,f183]) ).
fof(f375,plain,
! [X0,X1] : addition(multiplication(X0,sF6),multiplication(addition(X0,X1),sK3)) = addition(X0,multiplication(X1,sK3)),
inference(forward_demodulation,[],[f308,f41]) ).
fof(f376,plain,
! [X0,X1] : addition(multiplication(X0,sF4),multiplication(addition(X0,X1),sK2)) = addition(X0,multiplication(X1,sK2)),
inference(forward_demodulation,[],[f307,f41]) ).
fof(f554,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f37,f39]) ).
fof(f557,plain,
! [X0] : addition(X0,multiplication(X0,sK3)) = addition(multiplication(X0,sF6),multiplication(X0,sK3)),
inference(superposition,[],[f375,f39]) ).
fof(f558,plain,
! [X0] : addition(X0,multiplication(X0,sK2)) = addition(multiplication(X0,sF4),multiplication(X0,sK2)),
inference(superposition,[],[f376,f39]) ).
fof(f559,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1))),
inference(superposition,[],[f37,f39]) ).
fof(f564,plain,
! [X0] : multiplication(X0,addition(sF4,sK2)) = addition(X0,multiplication(X0,sK2)),
inference(forward_demodulation,[],[f558,f43]) ).
fof(f565,plain,
! [X0] : multiplication(X0,addition(sF6,sK3)) = addition(X0,multiplication(X0,sK3)),
inference(forward_demodulation,[],[f557,f43]) ).
fof(f569,plain,
! [X0] : multiplication(X0,one) = addition(X0,multiplication(X0,sK2)),
inference(forward_demodulation,[],[f564,f181]) ).
fof(f570,plain,
! [X0] : multiplication(X0,one) = addition(X0,multiplication(X0,sK3)),
inference(forward_demodulation,[],[f565,f183]) ).
fof(f574,plain,
! [X0] : addition(X0,multiplication(X0,sK2)) = X0,
inference(forward_demodulation,[],[f569,f41]) ).
fof(f575,plain,
! [X0] : addition(X0,multiplication(X0,sK3)) = X0,
inference(forward_demodulation,[],[f570,f41]) ).
fof(f578,plain,
one = addition(one,sK3),
inference(superposition,[],[f575,f42]) ).
fof(f614,plain,
! [X0,X1] : addition(multiplication(X0,one),multiplication(X1,sK3)) = addition(multiplication(X0,one),multiplication(addition(X0,X1),sK3)),
inference(superposition,[],[f262,f578]) ).
fof(f619,plain,
! [X0,X1] : addition(X0,multiplication(X1,sK3)) = addition(X0,multiplication(addition(X0,X1),sK3)),
inference(forward_demodulation,[],[f614,f41]) ).
fof(f635,plain,
one = addition(one,sK2),
inference(superposition,[],[f574,f42]) ).
fof(f728,plain,
multiplication(addition(sF4,sK2),sK1) = addition(sF5,sF10),
inference(superposition,[],[f106,f77]) ).
fof(f741,plain,
multiplication(one,sK1) = addition(sF5,sF10),
inference(forward_demodulation,[],[f728,f181]) ).
fof(f745,plain,
sK1 = addition(sF5,sF10),
inference(forward_demodulation,[],[f741,f42]) ).
fof(f751,plain,
sK1 = addition(sF10,sF5),
inference(superposition,[],[f36,f745]) ).
fof(f890,plain,
one = addition(sF6,one),
inference(superposition,[],[f554,f183]) ).
fof(f971,plain,
one = addition(one,sF6),
inference(superposition,[],[f36,f890]) ).
fof(f1073,plain,
addition(sK1,sF7) = multiplication(sK1,addition(one,sF6)),
inference(superposition,[],[f87,f41]) ).
fof(f1088,plain,
multiplication(sK1,one) = addition(sK1,sF7),
inference(forward_demodulation,[],[f1073,f971]) ).
fof(f1095,plain,
sK1 = addition(sK1,sF7),
inference(forward_demodulation,[],[f1088,f41]) ).
fof(f1207,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f36,f38]) ).
fof(f1257,plain,
addition(sK1,sF10) = multiplication(addition(one,sK2),sK1),
inference(superposition,[],[f201,f77]) ).
fof(f1306,plain,
multiplication(one,sK1) = addition(sK1,sF10),
inference(forward_demodulation,[],[f1257,f635]) ).
fof(f1325,plain,
sK1 = addition(sK1,sF10),
inference(forward_demodulation,[],[f1306,f42]) ).
fof(f1414,plain,
multiplication(sF5,sF6) = multiplication(sF4,sF7),
inference(superposition,[],[f146,f70]) ).
fof(f1555,plain,
! [X0] : addition(sF5,addition(X0,sF7)) = addition(X0,sF8),
inference(superposition,[],[f137,f72]) ).
fof(f1838,plain,
zero = multiplication(sK3,sF6),
inference(resolution,[],[f50,f102]) ).
fof(f1870,plain,
multiplication(sF9,sF6) = multiplication(sK1,zero),
inference(superposition,[],[f143,f1838]) ).
fof(f1895,plain,
zero = multiplication(sF9,sF6),
inference(forward_demodulation,[],[f1870,f45]) ).
fof(f1969,plain,
! [X0] : addition(zero,multiplication(X0,sF6)) = multiplication(addition(sF9,X0),sF6),
inference(superposition,[],[f44,f1895]) ).
fof(f1980,plain,
! [X0] : multiplication(X0,sF6) = multiplication(addition(sF9,X0),sF6),
inference(forward_demodulation,[],[f1969,f1207]) ).
fof(f2141,plain,
zero = multiplication(sF4,sK2),
inference(resolution,[],[f51,f101]) ).
fof(f2146,plain,
! [X0] : multiplication(zero,X0) = multiplication(sF4,multiplication(sK2,X0)),
inference(superposition,[],[f40,f2141]) ).
fof(f2165,plain,
! [X0] : zero = multiplication(sF4,multiplication(sK2,X0)),
inference(forward_demodulation,[],[f2146,f46]) ).
fof(f2944,plain,
zero = multiplication(sF4,sF10),
inference(superposition,[],[f2165,f77]) ).
fof(f2988,plain,
! [X0] : multiplication(addition(sF4,X0),sF10) = addition(zero,multiplication(X0,sF10)),
inference(superposition,[],[f44,f2944]) ).
fof(f3003,plain,
! [X0] : multiplication(X0,sF10) = multiplication(addition(sF4,X0),sF10),
inference(forward_demodulation,[],[f2988,f1207]) ).
fof(f3014,plain,
multiplication(sK2,sF10) = multiplication(one,sF10),
inference(superposition,[],[f3003,f181]) ).
fof(f3050,plain,
sF10 = multiplication(sK2,sF10),
inference(forward_demodulation,[],[f3014,f42]) ).
fof(f3067,plain,
! [X0] : addition(sF10,multiplication(sK2,X0)) = multiplication(sK2,addition(sF10,X0)),
inference(superposition,[],[f43,f3050]) ).
fof(f3083,plain,
! [X0] : multiplication(sK2,addition(sK1,X0)) = multiplication(sK2,addition(sF10,X0)),
inference(forward_demodulation,[],[f3067,f84]) ).
fof(f5440,plain,
! [X0] : addition(sF10,multiplication(multiplication(X0,sK1),sK3)) = addition(sF10,multiplication(multiplication(addition(sK2,X0),sK1),sK3)),
inference(superposition,[],[f619,f105]) ).
fof(f5513,plain,
! [X0] : addition(sF10,multiplication(multiplication(X0,sK1),sK3)) = addition(sF10,multiplication(addition(sK2,X0),multiplication(sK1,sK3))),
inference(forward_demodulation,[],[f5440,f40]) ).
fof(f5579,plain,
! [X0] : addition(sF10,multiplication(multiplication(X0,sK1),sK3)) = addition(sF10,multiplication(addition(sK2,X0),sF9)),
inference(forward_demodulation,[],[f5513,f75]) ).
fof(f5629,plain,
! [X0] : addition(sF10,multiplication(X0,multiplication(sK1,sK3))) = addition(sF10,multiplication(addition(sK2,X0),sF9)),
inference(forward_demodulation,[],[f5579,f40]) ).
fof(f5661,plain,
! [X0] : addition(sF10,multiplication(X0,sF9)) = addition(sF10,multiplication(addition(sK2,X0),sF9)),
inference(forward_demodulation,[],[f5629,f75]) ).
fof(f6589,definition,
( spl12_58
<=> zero = multiplication(sF10,sF6) ),
introduced(definition,[new_symbols(definition,[spl12_58])],[avatar_definition]) ).
fof(f6590,plain,
( zero = multiplication(sF10,sF6)
| ~ spl12_58 ),
inference(avatar_component_clause,[],[f6589]) ).
fof(f6591,plain,
( zero != multiplication(sF10,sF6)
| spl12_58 ),
inference(avatar_component_clause,[],[f6589]) ).
fof(f7777,plain,
addition(sF5,sF7) = addition(sF5,addition(sF8,sF7)),
inference(superposition,[],[f559,f131]) ).
fof(f7799,plain,
addition(sF5,sF7) = addition(sF8,sF8),
inference(forward_demodulation,[],[f7777,f1555]) ).
fof(f7819,plain,
sF8 = addition(sF5,sF7),
inference(forward_demodulation,[],[f7799,f39]) ).
fof(f11642,plain,
addition(sF10,multiplication(sK2,sF9)) = addition(sF10,multiplication(zero,sF9)),
inference(superposition,[],[f5661,f38]) ).
fof(f11684,plain,
addition(sF10,multiplication(sK2,sF9)) = addition(sF10,zero),
inference(forward_demodulation,[],[f11642,f46]) ).
fof(f11701,plain,
sF10 = addition(sF10,multiplication(sK2,sF9)),
inference(forward_demodulation,[],[f11684,f38]) ).
fof(f11715,plain,
sF10 = multiplication(sK2,addition(sK1,sF9)),
inference(forward_demodulation,[],[f11701,f84]) ).
fof(f11723,plain,
sF10 = multiplication(sK2,addition(sF10,sF9)),
inference(forward_demodulation,[],[f11715,f3083]) ).
fof(f11729,plain,
sF10 = multiplication(sK2,sF9),
inference(forward_demodulation,[],[f11723,f81]) ).
fof(f11732,plain,
sF10 = multiplication(sF10,sK3),
inference(forward_demodulation,[],[f11729,f160]) ).
fof(f11741,plain,
addition(sF9,sF10) = multiplication(addition(sK1,sF10),sK3),
inference(superposition,[],[f103,f11732]) ).
fof(f11763,plain,
multiplication(sK1,sK3) = addition(sF9,sF10),
inference(forward_demodulation,[],[f11741,f1325]) ).
fof(f11768,plain,
sF9 = addition(sF9,sF10),
inference(forward_demodulation,[],[f11763,f75]) ).
fof(f11781,plain,
multiplication(sF10,sF6) = multiplication(sF9,sF6),
inference(superposition,[],[f1980,f11768]) ).
fof(f11809,plain,
zero = multiplication(sF10,sF6),
inference(forward_demodulation,[],[f11781,f1895]) ).
fof(f11817,plain,
( $false
| spl12_58 ),
inference(forward_subsumption_resolution,[],[f11809,f6591]) ).
fof(f11818,plain,
spl12_58,
inference(avatar_contradiction_clause,[],[f11817]) ).
fof(f12223,plain,
( ! [X0] : addition(zero,multiplication(X0,sF6)) = multiplication(addition(sF10,X0),sF6)
| ~ spl12_58 ),
inference(superposition,[],[f44,f6590]) ).
fof(f12257,plain,
( ! [X0] : multiplication(X0,sF6) = multiplication(addition(sF10,X0),sF6)
| ~ spl12_58 ),
inference(forward_demodulation,[],[f12223,f1207]) ).
fof(f12278,plain,
( multiplication(sK1,sF6) = multiplication(sF5,sF6)
| ~ spl12_58 ),
inference(superposition,[],[f12257,f751]) ).
fof(f12340,plain,
( multiplication(sK1,sF6) = multiplication(sF4,sF7)
| ~ spl12_58 ),
inference(forward_demodulation,[],[f12278,f1414]) ).
fof(f12392,plain,
( sF7 = multiplication(sF4,sF7)
| ~ spl12_58 ),
inference(forward_demodulation,[],[f12340,f70]) ).
fof(f12400,plain,
( addition(sF5,sF7) = multiplication(sF4,addition(sK1,sF7))
| ~ spl12_58 ),
inference(superposition,[],[f85,f12392]) ).
fof(f12426,plain,
( multiplication(sF4,sK1) = addition(sF5,sF7)
| ~ spl12_58 ),
inference(forward_demodulation,[],[f12400,f1095]) ).
fof(f12432,plain,
( multiplication(sF4,sK1) = sF8
| ~ spl12_58 ),
inference(forward_demodulation,[],[f12426,f7819]) ).
fof(f12434,plain,
( sF5 = sF8
| ~ spl12_58 ),
inference(forward_demodulation,[],[f12432,f66]) ).
fof(f12437,plain,
( $false
| ~ spl12_58 ),
inference(forward_subsumption_resolution,[],[f12434,f73]) ).
fof(f12438,plain,
~ spl12_58,
inference(avatar_contradiction_clause,[],[f12437]) ).
cnf(s72,plain,
spl12_58,
inference(sat_conversion,[],[f11818]) ).
cnf(s76,plain,
~ spl12_58,
inference(sat_conversion,[],[f12438]) ).
cnf(s77,plain,
$false,
inference(rat,[],[s72,s76]) ).
fof(f12439,plain,
$false,
inference(avatar_sat_refutation,[],[s77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE023+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.40 % Computer : n017.cluster.edu
% 0.11/5.40 % Model : x86_64 x86_64
% 0.11/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.40 % Memory : 8046.5625MB
% 0.11/5.40 % OS : Linux 6.8.0-71-generic
% 0.05/5.40 % CPULimit : 300
% 0.05/5.40 % WCLimit : 300
% 0.05/5.40 % DateTime : Sun Sep 27 12:55:25 UTC 2026
% 0.05/5.40 % CPUTime :
% 0.05/5.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/5.43 Running first-order theorem proving
% 0.05/5.43 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
% 11.81/7.34 % (2530054)Detected formulas, will run a generic FOF schedule.
% 11.81/7.34 % (2530064)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1730488782:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.81/7.34 % (2530059)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=1691022355:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.81/7.34 % (2530062)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1926402528:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.81/7.34 % (2530065)dis-21_1_sil=8000:lcm=predicate:random_seed=1667061270: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)
% 11.81/7.34 % (2530061)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=4284357917:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.81/7.34 % (2530063)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1204428709:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.81/7.34 % (2530060)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=3000233638:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.81/7.34 % (2530065)Refutation not found, incomplete strategy
% 11.81/7.34 % (2530065)------------------------------
% 11.81/7.34 % (2530065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.81/7.34 % (2530065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/7.34 % (2530065)CaDiCaL version: 2.1.3
% 11.81/7.34 % (2530065)Termination reason: Refutation not found, incomplete strategy
% 11.81/7.34 % (2530065)Time elapsed: 0.002 s
% 11.81/7.34 % (2530065)Peak memory usage: 88 MB
% 11.81/7.34 % (2530065)Instructions burned: 2 (million)
% 11.81/7.34 % (2530062)Instruction limit reached!
% 11.81/7.34 % (2530062)------------------------------
% 11.81/7.34 % (2530062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.81/7.34 % (2530062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/7.34 % (2530062)CaDiCaL version: 2.1.3
% 11.81/7.34 % (2530062)Termination reason: Instruction limit
% 11.81/7.34 % (2530062)Termination phase: Saturation
% 11.81/7.34 % (2530062)Time elapsed: 0.066 s
% 11.81/7.34 % (2530062)Peak memory usage: 89 MB
% 11.81/7.34 % (2530062)Instructions burned: 110 (million)
% 11.81/7.34 % (2530063)Instruction limit reached!
% 11.81/7.34 % (2530063)------------------------------
% 11.81/7.34 % (2530063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.81/7.34 % (2530063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/7.34 % (2530063)CaDiCaL version: 2.1.3
% 11.81/7.34 % (2530063)Termination reason: Instruction limit
% 11.81/7.34 % (2530063)Termination phase: Saturation
% 11.81/7.34 % (2530063)Time elapsed: 0.066 s
% 11.81/7.34 % (2530063)Peak memory usage: 88 MB
% 11.81/7.34 % (2530063)Instructions burned: 120 (million)
% 11.81/7.34 % (2530064)Instruction limit reached!
% 11.81/7.34 % (2530064)------------------------------
% 11.81/7.34 % (2530064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.81/7.34 % (2530064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/7.34 % (2530064)CaDiCaL version: 2.1.3
% 11.81/7.34 % (2530064)Termination reason: Instruction limit
% 11.81/7.34 % (2530064)Termination phase: Saturation
% 11.81/7.34 % (2530064)Time elapsed: 0.082 s
% 11.81/7.34 % (2530064)Peak memory usage: 90 MB
% 11.81/7.34 % (2530064)Instructions burned: 140 (million)
% 11.81/7.34 % (2530073)lrs+10_1_sil=8000:sp=occurrence:random_seed=4056765161:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.81/7.34 % (2530074)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2979604963:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.81/7.34 % (2530075)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1718222498:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.81/7.34 % (2530065)------------------------------
% 11.81/7.34 % (2530065)------------------------------
% 11.81/7.34 % (2530074)Instruction limit reached!
% 11.81/7.34 % (2530074)------------------------------
% 11.81/7.34 % (2530074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.81/7.34 % (2530074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/7.34 % (2530074)CaDiCaL version: 2.1.3
% 11.81/7.34 % (2530074)Termination reason: Instruction limit
% 11.81/7.34 % (2530074)Termination phase: Saturation
% 11.81/7.34 % (2530074)Time elapsed: 0.096 s
% 11.81/7.34 % (2530074)Peak memory usage: 90 MB
% 11.81/7.34 % (2530074)Instructions burned: 157 (million)
% 11.81/7.34 % (2530073)Instruction limit reached!
% 11.81/7.34 % (2530073)------------------------------
% 11.81/7.34 % (2530073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.81/7.34 % (2530073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/7.34 % (2530073)CaDiCaL version: 2.1.3
% 11.81/7.34 % (2530073)Termination reason: Instruction limit
% 11.81/7.34 % (2530073)Termination phase: Saturation
% 11.81/7.34 % (2530073)Time elapsed: 0.178 s
% 11.81/7.34 % (2530073)Peak memory usage: 92 MB
% 11.81/7.34 % (2530073)Instructions burned: 286 (million)
% 11.81/7.34 % (2530079)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=1926899027:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 11.81/7.34 % (2530075)Instruction limit reached!
% 11.81/7.34 % (2530075)------------------------------
% 11.81/7.34 % (2530075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.81/7.34 % (2530075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/7.34 % (2530075)CaDiCaL version: 2.1.3
% 11.81/7.34 % (2530075)Termination reason: Instruction limit
% 11.81/7.34 % (2530075)Termination phase: Saturation
% 11.81/7.34 % (2530075)Time elapsed: 0.197 s
% 11.81/7.34 % (2530075)Peak memory usage: 92 MB
% 11.81/7.34 % (2530075)Instructions burned: 326 (million)
% 11.81/7.34 % (2530080)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2021687772:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 11.81/7.34 % (2530080)Instruction limit reached!
% 11.81/7.34 % (2530080)------------------------------
% 11.81/7.34 % (2530080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.81/7.34 % (2530080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/7.34 % (2530080)CaDiCaL version: 2.1.3
% 11.81/7.34 % (2530080)Termination reason: Instruction limit
% 11.81/7.34 % (2530080)Termination phase: Saturation
% 11.81/7.34 % (2530080)Time elapsed: 0.100 s
% 11.81/7.34 % (2530080)Peak memory usage: 91 MB
% 11.81/7.34 % (2530080)Instructions burned: 298 (million)
% 11.81/7.34 % (2530081)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3573748617:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 11.81/7.34 % (2530079)Instruction limit reached!
% 11.81/7.34 % (2530079)------------------------------
% 11.81/7.34 % (2530079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.81/7.34 % (2530079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/7.34 % (2530079)CaDiCaL version: 2.1.3
% 11.81/7.34 % (2530079)Termination reason: Instruction limit
% 11.81/7.34 % (2530079)Termination phase: Saturation
% 11.81/7.34 % (2530079)Time elapsed: 0.153 s
% 11.81/7.34 % (2530079)Peak memory usage: 92 MB
% 11.81/7.34 % (2530079)Instructions burned: 249 (million)
% 11.81/7.34 % (2530084)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1320694319:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 11.81/7.34 % (2530085)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1757928764:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 11.81/7.34 % (2530084)Instruction limit reached!
% 11.81/7.34 % (2530084)------------------------------
% 11.81/7.34 % (2530084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.81/7.34 % (2530084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/7.34 % (2530084)CaDiCaL version: 2.1.3
% 11.81/7.34 % (2530084)Termination reason: Instruction limit
% 11.81/7.34 % (2530084)Termination phase: Saturation
% 11.81/7.34 % (2530084)Time elapsed: 0.074 s
% 11.81/7.34 % (2530084)Peak memory usage: 90 MB
% 11.81/7.34 % (2530084)Instructions burned: 113 (million)
% 11.81/7.34 % (2530085)Instruction limit reached!
% 11.81/7.34 % (2530085)------------------------------
% 11.81/7.34 % (2530085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.81/7.34 % (2530085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/7.34 % (2530085)CaDiCaL version: 2.1.3
% 11.81/7.34 % (2530085)Termination reason: Instruction limit
% 11.81/7.34 % (2530085)Termination phase: Saturation
% 11.81/7.34 % (2530085)Time elapsed: 0.028 s
% 11.81/7.34 % (2530085)Peak memory usage: 88 MB
% 11.81/7.34 % (2530085)Instructions burned: 129 (million)
% 11.81/7.34 % (2530087)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4043877971:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 11.81/7.34 % (2530087)Instruction limit reached!
% 11.81/7.34 % (2530087)------------------------------
% 11.81/7.34 % (2530087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.81/7.34 % (2530087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/7.34 % (2530087)CaDiCaL version: 2.1.3
% 11.81/7.34 % (2530087)Termination reason: Instruction limit
% 11.81/7.34 % (2530087)Termination phase: Saturation
% 11.81/7.34 % (2530087)Time elapsed: 0.066 s
% 11.81/7.34 % (2530087)Peak memory usage: 89 MB
% 11.81/7.34 % (2530087)Instructions burned: 114 (million)
% 11.81/7.34 % (2530091)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1996602665:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 11.81/7.34 % (2530090)lrs+10_1_sil=8000:sp=occurrence:random_seed=2575432530:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 11.81/7.34 % (2530091)Instruction limit reached!
% 11.81/7.34 % (2530091)------------------------------
% 11.81/7.34 % (2530091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.81/7.34 % (2530091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/7.34 % (2530091)CaDiCaL version: 2.1.3
% 11.81/7.34 % (2530091)Termination reason: Instruction limit
% 11.81/7.34 % (2530091)Termination phase: Saturation
% 11.81/7.34 % (2530091)Time elapsed: 0.120 s
% 11.81/7.34 % (2530091)Peak memory usage: 90 MB
% 11.81/7.34 % (2530091)Instructions burned: 438 (million)
% 11.81/7.34 % (2530093)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3610115561:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 11.81/7.34 % (2530096)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2281155267:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 11.81/7.34 % (2530096)Refutation not found, incomplete strategy
% 11.81/7.34 % (2530096)------------------------------
% 11.81/7.34 % (2530096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.81/7.34 % (2530096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/7.34 % (2530096)CaDiCaL version: 2.1.3
% 11.81/7.34 % (2530096)Termination reason: Refutation not found, incomplete strategy
% 11.81/7.34 % (2530096)Time elapsed: 0.002 s
% 11.81/7.34 % (2530096)Peak memory usage: 89 MB
% 11.81/7.34 % (2530096)Instructions burned: 2 (million)
% 11.81/7.34 % (2530096)------------------------------
% 11.81/7.34 % (2530096)------------------------------
% 11.81/7.34 % (2530059)First to succeed.
% 11.81/7.34 % (2530059)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2530054"
% 11.81/7.34 % (2530099)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2284027487:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 11.81/7.34 % (2530090)Instruction limit reached!
% 11.81/7.34 % (2530090)------------------------------
% 11.81/7.34 % (2530090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.81/7.34 % (2530090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/7.34 % (2530090)CaDiCaL version: 2.1.3
% 11.81/7.34 % (2530090)Termination reason: Instruction limit
% 11.81/7.34 % (2530090)Termination phase: Saturation
% 11.81/7.34 % (2530090)Time elapsed: 0.524 s
% 11.81/7.34 % (2530090)Peak memory usage: 96 MB
% 11.81/7.34 % (2530090)Instructions burned: 907 (million)
% 11.81/7.34 % (2530101)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1279122812:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 11.81/7.34 % (2530081)Also succeeded, but the first one will report.
% 11.81/7.34 % (2530059)Refutation found. Thanks to Tanya!
% 11.81/7.34 % SZS status Theorem for theBenchmark
% 11.81/7.34 % SZS output start Proof for theBenchmark
% See solution above
% 12.33/7.44 % (2530059)------------------------------
% 12.33/7.44 % (2530059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.33/7.44 % (2530059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.33/7.44 % (2530059)CaDiCaL version: 2.1.3
% 12.33/7.44 % (2530059)Termination reason: Refutation
% 12.33/7.44 % (2530059)Time elapsed: 1.276 s
% 12.33/7.44 % (2530059)Peak memory usage: 142 MB
% 12.33/7.44 % (2530059)Instructions burned: 2293 (million)
% 12.33/7.44 % (2530059)------------------------------
% 12.33/7.44 % (2530059)------------------------------
% 12.33/7.44 % (2530054)Success in time 1.707 s
% 12.33/7.44 % Vampire exiting
%------------------------------------------------------------------------------