%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE098+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 : n020.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 11:40:19 AM UTC 2026
% Result : Theorem 12.76s 2.54s
% Output : Refutation 13.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 27
% Syntax : Number of formulae : 140 ( 136 unt; 13 def)
% Number of atoms : 144 ( 143 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 18 con; 0-2 aty)
% Number of variables : 102 ( 99 !; 3 ?)
% 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(f13,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f15,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f16,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f23,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_diamond) ).
fof(f27,conjecture,
! [X0,X1,X2] :
( addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2)
=> addition(multiplication(X0,domain(X1)),multiplication(domain(X2),X0)) = multiplication(domain(X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f28,negated_conjecture,
~ ! [X0,X1,X2] :
( addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2)
=> addition(multiplication(X0,domain(X1)),multiplication(domain(X2),X0)) = multiplication(domain(X2),X0) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
? [X0,X1,X2] :
( multiplication(domain(X2),X0) != addition(multiplication(X0,domain(X1)),multiplication(domain(X2),X0))
& addition(forward_diamond(X0,domain(X1)),domain(X2)) = domain(X2) ),
inference(ennf_transformation,[],[f28]) ).
fof(f30,plain,
( multiplication(domain(sK2),sK0) != addition(multiplication(sK0,domain(sK1)),multiplication(domain(sK2),sK0))
& domain(sK2) = addition(forward_diamond(sK0,domain(sK1)),domain(sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f29]) ).
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] : zero = multiplication(antidomain(X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f44,plain,
! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
inference(cnf_transformation,[],[f15]) ).
fof(f45,plain,
! [X0] : antidomain(antidomain(X0)) = domain(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f52,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f23]) ).
fof(f56,plain,
domain(sK2) = addition(forward_diamond(sK0,domain(sK1)),domain(sK2)),
inference(cnf_transformation,[],[f30]) ).
fof(f57,plain,
multiplication(domain(sK2),sK0) != addition(multiplication(sK0,domain(sK1)),multiplication(domain(sK2),sK0)),
inference(cnf_transformation,[],[f30]) ).
fof(f62,plain,
! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
inference(definition_unfolding,[],[f52,f45,f45]) ).
fof(f64,plain,
multiplication(antidomain(antidomain(sK2)),sK0) != addition(multiplication(sK0,antidomain(antidomain(sK1))),multiplication(antidomain(antidomain(sK2)),sK0)),
inference(definition_unfolding,[],[f57,f45,f45,f45]) ).
fof(f65,plain,
antidomain(antidomain(sK2)) = addition(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(antidomain(sK2))),
inference(definition_unfolding,[],[f56,f45,f62,f45,f45]) ).
fof(f66,definition,
sF3 = antidomain(sK2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f67,plain,
antidomain(sK2) = sF3,
inference(reorient_equations,[],[f66]) ).
fof(f68,definition,
sF4 = antidomain(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f69,plain,
antidomain(sF3) = sF4,
inference(reorient_equations,[],[f68]) ).
fof(f70,definition,
sF5 = multiplication(sF4,sK0),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f71,plain,
multiplication(sF4,sK0) = sF5,
inference(reorient_equations,[],[f70]) ).
fof(f72,definition,
sF6 = antidomain(sK1),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f73,plain,
antidomain(sK1) = sF6,
inference(reorient_equations,[],[f72]) ).
fof(f74,definition,
sF7 = antidomain(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f75,plain,
antidomain(sF6) = sF7,
inference(reorient_equations,[],[f74]) ).
fof(f76,definition,
sF8 = multiplication(sK0,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f77,plain,
multiplication(sK0,sF7) = sF8,
inference(reorient_equations,[],[f76]) ).
fof(f78,definition,
sF9 = addition(sF8,sF5),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f79,plain,
addition(sF8,sF5) = sF9,
inference(reorient_equations,[],[f78]) ).
fof(f80,plain,
sF5 != sF9,
inference(definition_folding,[],[f64,f79,f71,f69,f67,f77,f75,f73,f71,f69,f67]) ).
fof(f81,definition,
sF10 = antidomain(sF7),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f82,plain,
antidomain(sF7) = sF10,
inference(reorient_equations,[],[f81]) ).
fof(f83,definition,
sF11 = antidomain(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f84,plain,
antidomain(sF10) = sF11,
inference(reorient_equations,[],[f83]) ).
fof(f85,definition,
sF12 = multiplication(sK0,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f86,plain,
multiplication(sK0,sF11) = sF12,
inference(reorient_equations,[],[f85]) ).
fof(f87,definition,
sF13 = antidomain(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f88,plain,
antidomain(sF12) = sF13,
inference(reorient_equations,[],[f87]) ).
fof(f89,definition,
sF14 = antidomain(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f90,plain,
antidomain(sF13) = sF14,
inference(reorient_equations,[],[f89]) ).
fof(f91,definition,
sF15 = addition(sF14,sF4),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f92,plain,
addition(sF14,sF4) = sF15,
inference(reorient_equations,[],[f91]) ).
fof(f93,plain,
sF4 = sF15,
inference(definition_folding,[],[f65,f92,f69,f67,f90,f88,f86,f84,f82,f75,f73,f69,f67]) ).
fof(f94,plain,
sF4 = addition(sF14,sF4),
inference(forward_demodulation,[],[f92,f93]) ).
fof(f97,plain,
zero = multiplication(sF4,sF3),
inference(superposition,[],[f42,f69]) ).
fof(f103,plain,
one = addition(antidomain(sF6),sF6),
inference(superposition,[],[f44,f73]) ).
fof(f104,plain,
one = addition(antidomain(sF3),sF3),
inference(superposition,[],[f44,f67]) ).
fof(f114,plain,
! [X0] : one = addition(antidomain(X0),antidomain(antidomain(X0))),
inference(superposition,[],[f31,f44]) ).
fof(f118,plain,
one = addition(sF4,sF3),
inference(forward_demodulation,[],[f104,f69]) ).
fof(f119,plain,
one = addition(sF7,sF6),
inference(forward_demodulation,[],[f103,f75]) ).
fof(f121,plain,
! [X0,X1] : multiplication(addition(antidomain(X0),X1),X0) = addition(zero,multiplication(X1,X0)),
inference(superposition,[],[f39,f42]) ).
fof(f126,plain,
! [X0,X1] : multiplication(addition(X0,antidomain(X1)),X1) = addition(multiplication(X0,X1),zero),
inference(superposition,[],[f39,f42]) ).
fof(f138,plain,
! [X0,X1] : multiplication(X0,X1) = multiplication(addition(X0,antidomain(X1)),X1),
inference(forward_demodulation,[],[f126,f33]) ).
fof(f145,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X1,X0)) = addition(multiplication(antidomain(X0),X1),zero),
inference(superposition,[],[f38,f42]) ).
fof(f148,plain,
! [X0] : multiplication(sF4,addition(X0,sK0)) = addition(multiplication(sF4,X0),sF5),
inference(superposition,[],[f38,f71]) ).
fof(f161,plain,
! [X0,X1] : multiplication(antidomain(X0),X1) = multiplication(antidomain(X0),addition(X1,X0)),
inference(forward_demodulation,[],[f145,f33]) ).
fof(f173,plain,
! [X0,X1] : multiplication(antidomain(X0),addition(X0,X1)) = multiplication(antidomain(X0),X1),
inference(superposition,[],[f161,f31]) ).
fof(f174,plain,
! [X2,X0,X1] : multiplication(antidomain(multiplication(X1,X2)),multiplication(X0,X2)) = multiplication(antidomain(multiplication(X1,X2)),multiplication(addition(X0,X1),X2)),
inference(superposition,[],[f161,f39]) ).
fof(f197,plain,
! [X0,X1] : multiplication(X1,X0) = multiplication(addition(antidomain(X0),X1),X0),
inference(superposition,[],[f138,f31]) ).
fof(f198,plain,
! [X0] : multiplication(one,X0) = multiplication(antidomain(antidomain(X0)),X0),
inference(superposition,[],[f138,f44]) ).
fof(f205,plain,
! [X0] : multiplication(antidomain(antidomain(X0)),X0) = X0,
inference(forward_demodulation,[],[f198,f37]) ).
fof(f206,plain,
! [X0,X1] : multiplication(X1,X0) = addition(zero,multiplication(X1,X0)),
inference(forward_demodulation,[],[f197,f121]) ).
fof(f243,plain,
! [X0] : multiplication(antidomain(multiplication(sF4,X0)),multiplication(sF14,X0)) = multiplication(antidomain(multiplication(sF4,X0)),multiplication(sF4,X0)),
inference(superposition,[],[f174,f94]) ).
fof(f250,plain,
! [X0] : zero = multiplication(antidomain(multiplication(sF4,X0)),multiplication(sF14,X0)),
inference(forward_demodulation,[],[f243,f42]) ).
fof(f266,plain,
! [X0,X1] : addition(one,X1) = addition(antidomain(antidomain(X0)),addition(antidomain(X0),X1)),
inference(superposition,[],[f32,f44]) ).
fof(f319,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(superposition,[],[f38,f36]) ).
fof(f320,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f38,f36]) ).
fof(f325,plain,
zero = antidomain(one),
inference(superposition,[],[f42,f36]) ).
fof(f348,plain,
! [X0] : multiplication(sF5,X0) = multiplication(sF4,multiplication(sK0,X0)),
inference(superposition,[],[f35,f71]) ).
fof(f491,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f32,f34]) ).
fof(f516,plain,
! [X0] : multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)) = multiplication(antidomain(antidomain(antidomain(X0))),one),
inference(superposition,[],[f173,f44]) ).
fof(f533,plain,
! [X0] : antidomain(antidomain(antidomain(X0))) = multiplication(antidomain(antidomain(antidomain(X0))),antidomain(X0)),
inference(forward_demodulation,[],[f516,f36]) ).
fof(f538,plain,
! [X0] : antidomain(X0) = antidomain(antidomain(antidomain(X0))),
inference(forward_demodulation,[],[f533,f205]) ).
fof(f541,plain,
sF3 = antidomain(antidomain(sF3)),
inference(superposition,[],[f538,f67]) ).
fof(f543,plain,
sF7 = antidomain(antidomain(sF7)),
inference(superposition,[],[f538,f75]) ).
fof(f546,plain,
sF13 = antidomain(antidomain(sF13)),
inference(superposition,[],[f538,f88]) ).
fof(f556,plain,
sF13 = antidomain(sF14),
inference(forward_demodulation,[],[f546,f90]) ).
fof(f558,plain,
sF7 = antidomain(sF10),
inference(forward_demodulation,[],[f543,f82]) ).
fof(f559,plain,
sF3 = antidomain(sF4),
inference(forward_demodulation,[],[f541,f69]) ).
fof(f561,plain,
sF7 = sF11,
inference(forward_demodulation,[],[f558,f84]) ).
fof(f563,plain,
multiplication(sK0,sF7) = sF12,
inference(superposition,[],[f86,f561]) ).
fof(f564,plain,
sF8 = sF12,
inference(forward_demodulation,[],[f563,f77]) ).
fof(f567,plain,
sF13 = antidomain(sF8),
inference(superposition,[],[f88,f564]) ).
fof(f568,plain,
zero = multiplication(sF13,sF8),
inference(superposition,[],[f42,f567]) ).
fof(f1172,plain,
! [X0] : addition(zero,multiplication(X0,sF8)) = multiplication(addition(sF13,X0),sF8),
inference(superposition,[],[f121,f567]) ).
fof(f1237,plain,
! [X0] : multiplication(X0,sF8) = multiplication(addition(sF13,X0),sF8),
inference(forward_demodulation,[],[f1172,f206]) ).
fof(f1327,plain,
one = multiplication(antidomain(zero),one),
inference(superposition,[],[f205,f325]) ).
fof(f1331,plain,
one = antidomain(zero),
inference(forward_demodulation,[],[f1327,f36]) ).
fof(f1983,plain,
one = addition(sF3,sF4),
inference(superposition,[],[f31,f118]) ).
fof(f2223,plain,
one = addition(sF13,antidomain(sF13)),
inference(superposition,[],[f114,f556]) ).
fof(f2245,plain,
one = addition(sF13,sF14),
inference(forward_demodulation,[],[f2223,f90]) ).
fof(f2795,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = addition(one,antidomain(X0)),
inference(superposition,[],[f266,f34]) ).
fof(f2819,plain,
! [X0] : one = addition(one,antidomain(X0)),
inference(forward_demodulation,[],[f2795,f44]) ).
fof(f2849,plain,
one = addition(one,sF3),
inference(superposition,[],[f2819,f559]) ).
fof(f3321,plain,
one = addition(sF7,one),
inference(superposition,[],[f491,f119]) ).
fof(f3685,plain,
multiplication(sF4,sF8) = multiplication(sF5,sF7),
inference(superposition,[],[f348,f77]) ).
fof(f4087,plain,
multiplication(sF5,addition(sF7,one)) = addition(multiplication(sF4,sF8),sF5),
inference(superposition,[],[f319,f3685]) ).
fof(f4159,plain,
multiplication(sF5,addition(sF7,one)) = multiplication(sF4,addition(sF8,sK0)),
inference(forward_demodulation,[],[f4087,f148]) ).
fof(f4195,plain,
multiplication(sF5,one) = multiplication(sF4,addition(sF8,sK0)),
inference(forward_demodulation,[],[f4159,f3321]) ).
fof(f4223,plain,
sF5 = multiplication(sF4,addition(sF8,sK0)),
inference(forward_demodulation,[],[f4195,f36]) ).
fof(f6882,plain,
zero = multiplication(antidomain(zero),multiplication(sF14,sF3)),
inference(superposition,[],[f250,f97]) ).
fof(f6922,plain,
zero = multiplication(one,multiplication(sF14,sF3)),
inference(forward_demodulation,[],[f6882,f1331]) ).
fof(f6934,plain,
zero = multiplication(sF14,sF3),
inference(forward_demodulation,[],[f6922,f37]) ).
fof(f6943,plain,
! [X0] : addition(multiplication(X0,sF3),zero) = multiplication(addition(X0,sF14),sF3),
inference(superposition,[],[f39,f6934]) ).
fof(f6974,plain,
! [X0] : multiplication(X0,sF3) = multiplication(addition(X0,sF14),sF3),
inference(forward_demodulation,[],[f6943,f33]) ).
fof(f7000,plain,
multiplication(one,sF3) = multiplication(sF13,sF3),
inference(superposition,[],[f6974,f2245]) ).
fof(f7045,plain,
sF3 = multiplication(sF13,sF3),
inference(forward_demodulation,[],[f7000,f37]) ).
fof(f7088,plain,
multiplication(sF13,addition(one,sF3)) = addition(sF13,sF3),
inference(superposition,[],[f320,f7045]) ).
fof(f7096,plain,
multiplication(sF13,one) = addition(sF13,sF3),
inference(forward_demodulation,[],[f7088,f2849]) ).
fof(f7107,plain,
sF13 = addition(sF13,sF3),
inference(forward_demodulation,[],[f7096,f36]) ).
fof(f13060,plain,
multiplication(sF13,sF8) = multiplication(sF3,sF8),
inference(superposition,[],[f1237,f7107]) ).
fof(f13122,plain,
zero = multiplication(sF3,sF8),
inference(forward_demodulation,[],[f13060,f568]) ).
fof(f13145,plain,
! [X0] : addition(zero,multiplication(X0,sF8)) = multiplication(addition(sF3,X0),sF8),
inference(superposition,[],[f39,f13122]) ).
fof(f13188,plain,
! [X0] : multiplication(X0,sF8) = multiplication(addition(sF3,X0),sF8),
inference(forward_demodulation,[],[f13145,f206]) ).
fof(f13212,plain,
multiplication(one,sF8) = multiplication(sF4,sF8),
inference(superposition,[],[f13188,f1983]) ).
fof(f13272,plain,
sF8 = multiplication(sF4,sF8),
inference(forward_demodulation,[],[f13212,f37]) ).
fof(f13292,plain,
addition(sF8,sF5) = multiplication(sF4,addition(sF8,sK0)),
inference(superposition,[],[f148,f13272]) ).
fof(f13338,plain,
sF5 = addition(sF8,sF5),
inference(forward_demodulation,[],[f13292,f4223]) ).
fof(f13350,plain,
sF5 = sF9,
inference(forward_demodulation,[],[f13338,f79]) ).
fof(f13353,plain,
$false,
inference(forward_subsumption_resolution,[],[f13350,f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE098+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n020.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 13:10:51 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.44 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
% 11.05/2.21 % (3369396)Detected formulas, will run a generic FOF schedule.
% 11.05/2.21 % (3369401)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=1025023071:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.05/2.21 % (3369405)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1714176673:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.05/2.21 % (3369403)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=1619258365:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.05/2.21 % (3369407)dis-21_1_sil=8000:lcm=predicate:random_seed=333089253: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)
% 11.05/2.21 % (3369406)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=618372314:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.05/2.21 % (3369404)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1008286015:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.05/2.21 % (3369402)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=627988282:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.05/2.21 % (3369407)Refutation not found, incomplete strategy
% 11.05/2.21 % (3369407)------------------------------
% 11.05/2.21 % (3369407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.05/2.21 % (3369407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.05/2.21 % (3369407)CaDiCaL version: 2.1.3
% 11.05/2.21 % (3369407)Termination reason: Refutation not found, incomplete strategy
% 11.05/2.21 % (3369407)Time elapsed: 0.002 s
% 11.05/2.21 % (3369407)Peak memory usage: 88 MB
% 11.05/2.21 % (3369407)Instructions burned: 1 (million)
% 11.05/2.21 % (3369404)Instruction limit reached!
% 11.05/2.21 % (3369404)------------------------------
% 11.05/2.21 % (3369404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.05/2.21 % (3369404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.05/2.21 % (3369404)CaDiCaL version: 2.1.3
% 11.05/2.21 % (3369404)Termination reason: Instruction limit
% 11.05/2.21 % (3369404)Termination phase: Saturation
% 11.05/2.21 % (3369404)Time elapsed: 0.058 s
% 11.05/2.21 % (3369404)Peak memory usage: 89 MB
% 11.05/2.21 % (3369404)Instructions burned: 109 (million)
% 11.05/2.21 % (3369405)Instruction limit reached!
% 11.05/2.21 % (3369405)------------------------------
% 11.05/2.21 % (3369405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.05/2.21 % (3369405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.05/2.21 % (3369405)CaDiCaL version: 2.1.3
% 11.05/2.21 % (3369405)Termination reason: Instruction limit
% 11.05/2.21 % (3369405)Termination phase: Saturation
% 11.05/2.21 % (3369405)Time elapsed: 0.063 s
% 11.05/2.21 % (3369405)Peak memory usage: 88 MB
% 11.05/2.21 % (3369405)Instructions burned: 120 (million)
% 11.05/2.21 % (3369406)Instruction limit reached!
% 11.05/2.21 % (3369406)------------------------------
% 11.05/2.21 % (3369406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.05/2.21 % (3369406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.05/2.21 % (3369406)CaDiCaL version: 2.1.3
% 11.05/2.21 % (3369406)Termination reason: Instruction limit
% 11.05/2.21 % (3369406)Termination phase: Saturation
% 11.05/2.21 % (3369406)Time elapsed: 0.096 s
% 11.05/2.21 % (3369406)Peak memory usage: 89 MB
% 11.05/2.21 % (3369406)Instructions burned: 139 (million)
% 11.05/2.21 % (3369416)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3591737789:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 11.05/2.21 % (3369416)Instruction limit reached!
% 11.05/2.21 % (3369416)------------------------------
% 11.05/2.21 % (3369416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.05/2.21 % (3369416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.05/2.21 % (3369416)CaDiCaL version: 2.1.3
% 11.05/2.21 % (3369416)Termination reason: Instruction limit
% 11.05/2.21 % (3369416)Termination phase: Saturation
% 11.05/2.21 % (3369416)Time elapsed: 0.045 s
% 11.05/2.21 % (3369416)Peak memory usage: 89 MB
% 11.05/2.21 % (3369416)Instructions burned: 159 (million)
% 12.76/2.54 % (3369415)lrs+10_1_sil=8000:sp=occurrence:random_seed=1923239056:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 12.76/2.54 % (3369417)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1712480734:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.76/2.54 % (3369407)------------------------------
% 12.76/2.54 % (3369407)------------------------------
% 12.76/2.54 % (3369420)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=3716922713:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 12.76/2.54 % (3369420)Instruction limit reached!
% 12.76/2.54 % (3369420)------------------------------
% 12.76/2.54 % (3369420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.54 % (3369420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.54 % (3369420)CaDiCaL version: 2.1.3
% 12.76/2.54 % (3369420)Termination reason: Instruction limit
% 12.76/2.54 % (3369420)Termination phase: Saturation
% 12.76/2.54 % (3369420)Time elapsed: 0.078 s
% 12.76/2.54 % (3369420)Peak memory usage: 91 MB
% 12.76/2.54 % (3369420)Instructions burned: 248 (million)
% 12.76/2.54 % (3369415)Instruction limit reached!
% 12.76/2.54 % (3369415)------------------------------
% 12.76/2.54 % (3369415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.54 % (3369415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.54 % (3369415)CaDiCaL version: 2.1.3
% 12.76/2.54 % (3369415)Termination reason: Instruction limit
% 12.76/2.54 % (3369415)Termination phase: Saturation
% 12.76/2.54 % (3369415)Time elapsed: 0.170 s
% 12.76/2.54 % (3369415)Peak memory usage: 91 MB
% 12.76/2.54 % (3369415)Instructions burned: 287 (million)
% 12.76/2.54 % (3369422)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2007846450:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 12.76/2.54 % (3369417)Instruction limit reached!
% 12.76/2.54 % (3369417)------------------------------
% 12.76/2.54 % (3369417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.54 % (3369417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.54 % (3369417)CaDiCaL version: 2.1.3
% 12.76/2.54 % (3369417)Termination reason: Instruction limit
% 12.76/2.54 % (3369417)Termination phase: Saturation
% 12.76/2.54 % (3369417)Time elapsed: 0.193 s
% 12.76/2.54 % (3369417)Peak memory usage: 92 MB
% 12.76/2.54 % (3369417)Instructions burned: 325 (million)
% 12.76/2.54 % (3369424)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2909833302:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 12.76/2.54 % (3369425)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1240201612:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 12.76/2.54 % (3369422)Instruction limit reached!
% 12.76/2.54 % (3369422)------------------------------
% 12.76/2.54 % (3369422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.54 % (3369422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.54 % (3369422)CaDiCaL version: 2.1.3
% 12.76/2.54 % (3369422)Termination reason: Instruction limit
% 12.76/2.54 % (3369422)Termination phase: Saturation
% 12.76/2.54 % (3369422)Time elapsed: 0.165 s
% 12.76/2.54 % (3369422)Peak memory usage: 90 MB
% 12.76/2.54 % (3369422)Instructions burned: 296 (million)
% 12.76/2.54 % (3369427)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2599267470:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 12.76/2.54 % (3369427)Refutation not found, incomplete strategy
% 12.76/2.54 % (3369427)------------------------------
% 12.76/2.54 % (3369427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.54 % (3369427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.54 % (3369427)CaDiCaL version: 2.1.3
% 12.76/2.54 % (3369427)Termination reason: Refutation not found, incomplete strategy
% 12.76/2.54 % (3369427)Time elapsed: 0.001 s
% 12.76/2.54 % (3369427)Peak memory usage: 88 MB
% 12.76/2.54 % (3369427)Instructions burned: 1 (million)
% 12.76/2.54 % (3369425)Instruction limit reached!
% 12.76/2.54 % (3369425)------------------------------
% 12.76/2.54 % (3369425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.54 % (3369425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.54 % (3369425)CaDiCaL version: 2.1.3
% 12.76/2.54 % (3369425)Termination reason: Instruction limit
% 12.76/2.54 % (3369425)Termination phase: Saturation
% 12.76/2.54 % (3369425)Time elapsed: 0.066 s
% 12.76/2.54 % (3369425)Peak memory usage: 89 MB
% 12.76/2.54 % (3369425)Instructions burned: 113 (million)
% 12.76/2.54 % (3369430)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2535923727:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 12.76/2.54 % (3369432)lrs+10_1_sil=8000:sp=occurrence:random_seed=2856968574:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 12.76/2.54 % (3369430)Instruction limit reached!
% 12.76/2.54 % (3369430)------------------------------
% 12.76/2.54 % (3369430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.54 % (3369430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.54 % (3369430)CaDiCaL version: 2.1.3
% 12.76/2.54 % (3369430)Termination reason: Instruction limit
% 12.76/2.54 % (3369430)Termination phase: Saturation
% 12.76/2.54 % (3369430)Time elapsed: 0.057 s
% 12.76/2.54 % (3369430)Peak memory usage: 88 MB
% 12.76/2.54 % (3369430)Instructions burned: 115 (million)
% 12.76/2.54 % (3369427)------------------------------
% 12.76/2.54 % (3369427)------------------------------
% 12.76/2.54 % (3369435)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=520840519:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 12.76/2.54 % (3369436)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=437637863:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 12.76/2.54 % (3369435)Instruction limit reached!
% 12.76/2.54 % (3369435)------------------------------
% 12.76/2.54 % (3369435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.54 % (3369435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.54 % (3369435)CaDiCaL version: 2.1.3
% 12.76/2.54 % (3369435)Termination reason: Instruction limit
% 12.76/2.54 % (3369435)Termination phase: Saturation
% 12.76/2.54 % (3369435)Time elapsed: 0.207 s
% 12.76/2.54 % (3369435)Peak memory usage: 90 MB
% 12.76/2.54 % (3369435)Instructions burned: 439 (million)
% 12.76/2.54 % (3369439)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3496487311:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 12.76/2.54 % (3369439)Refutation not found, incomplete strategy
% 12.76/2.54 % (3369439)------------------------------
% 12.76/2.54 % (3369439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.54 % (3369439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.54 % (3369439)CaDiCaL version: 2.1.3
% 12.76/2.54 % (3369439)Termination reason: Refutation not found, incomplete strategy
% 12.76/2.54 % (3369439)Time elapsed: 0.002 s
% 12.76/2.54 % (3369439)Peak memory usage: 88 MB
% 12.76/2.54 % (3369439)Instructions burned: 1 (million)
% 12.76/2.54 % (3369424)Instruction limit reached!
% 12.76/2.54 % (3369424)------------------------------
% 12.76/2.54 % (3369424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.54 % (3369424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.54 % (3369424)CaDiCaL version: 2.1.3
% 12.76/2.54 % (3369424)Termination reason: Instruction limit
% 12.76/2.54 % (3369424)Termination phase: Saturation
% 12.76/2.54 % (3369424)Time elapsed: 0.780 s
% 12.76/2.54 % (3369424)Peak memory usage: 143 MB
% 12.76/2.54 % (3369424)Instructions burned: 2351 (million)
% 12.76/2.54 % (3369432)Instruction limit reached!
% 12.76/2.54 % (3369432)------------------------------
% 12.76/2.54 % (3369432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.54 % (3369432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.54 % (3369432)CaDiCaL version: 2.1.3
% 12.76/2.54 % (3369432)Termination reason: Instruction limit
% 12.76/2.54 % (3369432)Termination phase: Saturation
% 12.76/2.54 % (3369432)Time elapsed: 0.529 s
% 12.76/2.54 % (3369432)Peak memory usage: 97 MB
% 12.76/2.54 % (3369432)Instructions burned: 908 (million)
% 12.76/2.54 % (3369441)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1127306383:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 12.76/2.54 % (3369442)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=684060222:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 12.76/2.54 % (3369439)------------------------------
% 12.76/2.54 % (3369439)------------------------------
% 12.76/2.54 % (3369401)First to succeed.
% 12.76/2.54 % (3369401)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3369396"
% 12.76/2.54 % (3369441)Instruction limit reached!
% 12.76/2.54 % (3369441)------------------------------
% 12.76/2.54 % (3369441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.54 % (3369441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.54 % (3369441)CaDiCaL version: 2.1.3
% 12.76/2.54 % (3369441)Termination reason: Instruction limit
% 12.76/2.54 % (3369441)Termination phase: Saturation
% 12.76/2.54 % (3369441)Time elapsed: 0.194 s
% 12.76/2.54 % (3369441)Peak memory usage: 96 MB
% 12.76/2.54 % (3369441)Instructions burned: 594 (million)
% 12.76/2.54 % (3369445)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=229095202:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 12.76/2.54 % (3369446)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1701887816:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 12.76/2.54 % (3369446)Instruction limit reached!
% 12.76/2.54 % (3369446)------------------------------
% 12.76/2.54 % (3369446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.54 % (3369446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.54 % (3369446)CaDiCaL version: 2.1.3
% 12.76/2.54 % (3369446)Termination reason: Instruction limit
% 12.76/2.54 % (3369446)Termination phase: Saturation
% 12.76/2.54 % (3369446)Time elapsed: 0.039 s
% 12.76/2.54 % (3369446)Peak memory usage: 89 MB
% 12.76/2.54 % (3369446)Instructions burned: 135 (million)
% 12.76/2.54 % (3369445)Instruction limit reached!
% 12.76/2.54 % (3369445)------------------------------
% 12.76/2.54 % (3369445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.54 % (3369445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.54 % (3369445)CaDiCaL version: 2.1.3
% 12.76/2.54 % (3369445)Termination reason: Instruction limit
% 12.76/2.54 % (3369445)Termination phase: Saturation
% 12.76/2.54 % (3369445)Time elapsed: 0.080 s
% 12.76/2.54 % (3369445)Peak memory usage: 90 MB
% 12.76/2.54 % (3369445)Instructions burned: 125 (million)
% 12.76/2.54 % (3369449)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1165961382:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 12.76/2.54 % (3369449)Refutation not found, incomplete strategy
% 12.76/2.54 % (3369449)------------------------------
% 12.76/2.54 % (3369449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.76/2.54 % (3369449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.76/2.54 % (3369449)CaDiCaL version: 2.1.3
% 12.76/2.54 % (3369449)Termination reason: Refutation not found, incomplete strategy
% 12.76/2.54 % (3369449)Time elapsed: 0.0000 s
% 12.76/2.54 % (3369449)Peak memory usage: 88 MB
% 12.76/2.54 % (3369401)Refutation found. Thanks to Tanya!
% 12.76/2.54 % SZS status Theorem for theBenchmark
% 12.76/2.54 % SZS output start Proof for theBenchmark
% See solution above
% 13.85/2.72 % (3369401)------------------------------
% 13.85/2.72 % (3369401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.85/2.72 % (3369401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/2.72 % (3369401)CaDiCaL version: 2.1.3
% 13.85/2.72 % (3369401)Termination reason: Refutation
% 13.85/2.72 % (3369401)Time elapsed: 1.502 s
% 13.85/2.72 % (3369401)Peak memory usage: 145 MB
% 13.85/2.72 % (3369401)Instructions burned: 2432 (million)
% 13.85/2.72 % (3369401)------------------------------
% 13.85/2.72 % (3369401)------------------------------
% 13.85/2.72 % (3369396)Success in time 1.907 s
% 13.85/2.72 % Vampire exiting
%------------------------------------------------------------------------------