%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE060+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 11:40:14 AM UTC 2026
% Result : Theorem 8.62s 2.21s
% Output : Refutation 10.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 19
% Syntax : Number of formulae : 134 ( 134 unt; 5 def)
% Number of atoms : 134 ( 133 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 125 ( 123 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f10,axiom,
! [X0] : multiplication(X0,zero) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).
fof(f13,axiom,
! [X0] : addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f14,axiom,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain2) ).
fof(f15,axiom,
! [X0] : addition(domain(X0),one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain3) ).
fof(f17,axiom,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain5) ).
fof(f18,conjecture,
! [X0,X1] : domain(multiplication(domain(X0),X1)) = multiplication(domain(X0),domain(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f19,negated_conjecture,
~ ! [X0,X1] : domain(multiplication(domain(X0),X1)) = multiplication(domain(X0),domain(X1)),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
? [X0,X1] : domain(multiplication(domain(X0),X1)) != multiplication(domain(X0),domain(X1)),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
domain(multiplication(domain(sK0),sK1)) != multiplication(domain(sK0),domain(sK1)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f20]) ).
fof(f22,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f23,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f24,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f26,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f27,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f28,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f29,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f30,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f33,plain,
! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f34,plain,
! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[],[f14]) ).
fof(f35,plain,
! [X0] : one = addition(domain(X0),one),
inference(cnf_transformation,[],[f15]) ).
fof(f37,plain,
! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
inference(cnf_transformation,[],[f17]) ).
fof(f38,plain,
domain(multiplication(domain(sK0),sK1)) != multiplication(domain(sK0),domain(sK1)),
inference(cnf_transformation,[],[f21]) ).
fof(f39,definition,
sF2 = domain(sK0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f40,plain,
domain(sK0) = sF2,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF3 = multiplication(sF2,sK1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f42,plain,
multiplication(sF2,sK1) = sF3,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF4 = domain(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f44,plain,
domain(sF3) = sF4,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF5 = domain(sK1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f46,plain,
domain(sK1) = sF5,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF6 = multiplication(sF2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f48,plain,
multiplication(sF2,sF5) = sF6,
inference(reorient_equations,[],[f47]) ).
fof(f49,plain,
sF4 != sF6,
inference(definition_folding,[],[f38,f48,f46,f40,f44,f42,f40]) ).
fof(f52,plain,
! [X0] : domain(multiplication(X0,sK1)) = domain(multiplication(X0,sF5)),
inference(superposition,[],[f34,f46]) ).
fof(f55,plain,
! [X0,X1] : multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1))) = addition(multiplication(X0,domain(X1)),multiplication(domain(multiplication(X0,X1)),multiplication(X0,domain(X1)))),
inference(superposition,[],[f33,f34]) ).
fof(f59,plain,
! [X0] : domain(multiplication(one,X0)) = domain(domain(X0)),
inference(superposition,[],[f34,f28]) ).
fof(f60,plain,
! [X0] : domain(X0) = domain(domain(X0)),
inference(forward_demodulation,[],[f59,f28]) ).
fof(f63,plain,
sF2 = domain(sF2),
inference(superposition,[],[f60,f40]) ).
fof(f64,plain,
sF5 = domain(sF5),
inference(superposition,[],[f60,f46]) ).
fof(f65,plain,
sF4 = domain(sF4),
inference(superposition,[],[f60,f44]) ).
fof(f68,plain,
! [X0] : multiplication(sF2,multiplication(sF5,X0)) = multiplication(sF6,X0),
inference(superposition,[],[f26,f48]) ).
fof(f76,plain,
! [X0] : multiplication(sF2,addition(sF5,X0)) = addition(sF6,multiplication(sF2,X0)),
inference(superposition,[],[f29,f48]) ).
fof(f148,plain,
! [X0,X1] : multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0),
inference(superposition,[],[f29,f27]) ).
fof(f155,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f30,f28]) ).
fof(f156,plain,
! [X0] : multiplication(addition(sF2,X0),sK1) = addition(sF3,multiplication(X0,sK1)),
inference(superposition,[],[f30,f42]) ).
fof(f157,plain,
! [X0] : multiplication(addition(sF2,X0),sF5) = addition(sF6,multiplication(X0,sF5)),
inference(superposition,[],[f30,f48]) ).
fof(f159,plain,
! [X2,X3,X0,X1] : multiplication(addition(X3,multiplication(X0,X1)),X2) = addition(multiplication(X3,X2),multiplication(X0,multiplication(X1,X2))),
inference(superposition,[],[f30,f26]) ).
fof(f179,plain,
one = addition(sF2,one),
inference(superposition,[],[f35,f40]) ).
fof(f180,plain,
one = addition(sF5,one),
inference(superposition,[],[f35,f46]) ).
fof(f181,plain,
one = addition(sF4,one),
inference(superposition,[],[f35,f44]) ).
fof(f185,plain,
! [X0] : one = addition(one,domain(X0)),
inference(superposition,[],[f22,f35]) ).
fof(f245,plain,
! [X2,X0,X1] : multiplication(addition(one,X1),multiplication(X0,X2)) = multiplication(addition(X0,multiplication(X1,X0)),X2),
inference(superposition,[],[f26,f155]) ).
fof(f253,plain,
! [X0] : multiplication(domain(X0),X0) = multiplication(addition(one,domain(X0)),X0),
inference(superposition,[],[f33,f155]) ).
fof(f258,plain,
! [X0] : multiplication(one,X0) = multiplication(domain(X0),X0),
inference(forward_demodulation,[],[f253,f185]) ).
fof(f270,plain,
! [X0] : multiplication(domain(X0),X0) = X0,
inference(forward_demodulation,[],[f258,f28]) ).
fof(f288,plain,
! [X0,X1] : multiplication(domain(X0),addition(X0,X1)) = addition(X0,multiplication(domain(X0),X1)),
inference(superposition,[],[f29,f270]) ).
fof(f289,plain,
! [X0,X1] : multiplication(domain(X0),addition(X1,X0)) = addition(multiplication(domain(X0),X1),X0),
inference(superposition,[],[f29,f270]) ).
fof(f290,plain,
! [X0,X1] : addition(multiplication(X1,X0),X0) = multiplication(addition(X1,domain(X0)),X0),
inference(superposition,[],[f30,f270]) ).
fof(f330,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f22,f24]) ).
fof(f493,plain,
sF4 = multiplication(sF4,sF4),
inference(superposition,[],[f270,f65]) ).
fof(f504,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f23,f29]) ).
fof(f628,plain,
domain(sF3) = domain(multiplication(sF2,sF5)),
inference(superposition,[],[f52,f42]) ).
fof(f649,plain,
domain(sF3) = domain(sF6),
inference(forward_demodulation,[],[f628,f48]) ).
fof(f660,plain,
sF4 = domain(sF6),
inference(forward_demodulation,[],[f649,f44]) ).
fof(f736,plain,
one = addition(one,sF4),
inference(superposition,[],[f22,f181]) ).
fof(f747,plain,
! [X0,X1] : multiplication(X0,one) = addition(multiplication(X0,domain(X1)),X0),
inference(superposition,[],[f148,f35]) ).
fof(f748,plain,
! [X0] : multiplication(X0,one) = addition(multiplication(X0,sF4),X0),
inference(superposition,[],[f148,f181]) ).
fof(f798,plain,
! [X0] : addition(multiplication(X0,sF4),X0) = X0,
inference(forward_demodulation,[],[f748,f27]) ).
fof(f799,plain,
! [X0,X1] : addition(multiplication(X0,domain(X1)),X0) = X0,
inference(forward_demodulation,[],[f747,f27]) ).
fof(f883,plain,
! [X0,X1] : addition(X0,multiplication(X0,domain(X1))) = X0,
inference(superposition,[],[f22,f799]) ).
fof(f949,plain,
multiplication(sF2,one) = addition(sF6,multiplication(sF2,one)),
inference(superposition,[],[f76,f180]) ).
fof(f977,plain,
sF2 = addition(sF6,sF2),
inference(forward_demodulation,[],[f949,f27]) ).
fof(f997,plain,
sF2 = addition(sF2,sF6),
inference(superposition,[],[f22,f977]) ).
fof(f1085,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,[],[f504,f30]) ).
fof(f1284,plain,
! [X2,X0,X1] : addition(multiplication(domain(X0),addition(X1,X2)),multiplication(one,X2)) = addition(multiplication(domain(X0),X1),multiplication(one,X2)),
inference(superposition,[],[f1085,f35]) ).
fof(f1319,plain,
! [X2,X0,X1] : addition(multiplication(domain(X0),X1),X2) = addition(multiplication(domain(X0),addition(X1,X2)),X2),
inference(forward_demodulation,[],[f1284,f28]) ).
fof(f1485,plain,
! [X0,X1] : addition(multiplication(domain(X1),X0),X0) = addition(multiplication(domain(X1),zero),X0),
inference(superposition,[],[f1319,f330]) ).
fof(f1547,plain,
! [X0,X1] : addition(zero,X0) = addition(multiplication(domain(X1),X0),X0),
inference(forward_demodulation,[],[f1485,f31]) ).
fof(f1568,plain,
! [X0,X1] : addition(multiplication(domain(X1),X0),X0) = X0,
inference(forward_demodulation,[],[f1547,f330]) ).
fof(f2121,plain,
! [X0,X1] : addition(domain(X0),multiplication(domain(domain(X0)),domain(X1))) = multiplication(domain(domain(X0)),domain(addition(X0,X1))),
inference(superposition,[],[f288,f37]) ).
fof(f2166,plain,
! [X0,X1] : multiplication(domain(X0),domain(addition(X0,X1))) = addition(domain(X0),multiplication(domain(X0),domain(X1))),
inference(forward_demodulation,[],[f2121,f60]) ).
fof(f2199,plain,
! [X0,X1] : domain(X0) = multiplication(domain(X0),domain(addition(X0,X1))),
inference(forward_demodulation,[],[f2166,f883]) ).
fof(f2265,plain,
domain(sF6) = multiplication(domain(sF6),domain(sF2)),
inference(superposition,[],[f2199,f977]) ).
fof(f2296,plain,
domain(sF6) = multiplication(domain(sF6),sF2),
inference(forward_demodulation,[],[f2265,f63]) ).
fof(f2331,plain,
sF4 = multiplication(sF4,sF2),
inference(forward_demodulation,[],[f2296,f660]) ).
fof(f2361,plain,
! [X0] : multiplication(sF4,X0) = multiplication(sF4,multiplication(sF2,X0)),
inference(superposition,[],[f26,f2331]) ).
fof(f2501,plain,
multiplication(one,sK1) = addition(sF3,multiplication(one,sK1)),
inference(superposition,[],[f156,f179]) ).
fof(f2544,plain,
sK1 = addition(sF3,sK1),
inference(forward_demodulation,[],[f2501,f28]) ).
fof(f2570,plain,
domain(sF3) = multiplication(domain(sF3),domain(sK1)),
inference(superposition,[],[f2199,f2544]) ).
fof(f2572,plain,
domain(sF3) = multiplication(domain(sF3),sF5),
inference(forward_demodulation,[],[f2570,f46]) ).
fof(f2576,plain,
sF4 = multiplication(sF4,sF5),
inference(forward_demodulation,[],[f2572,f44]) ).
fof(f2577,plain,
! [X0] : multiplication(sF4,X0) = multiplication(sF4,multiplication(sF5,X0)),
inference(superposition,[],[f26,f2576]) ).
fof(f2764,plain,
multiplication(domain(sF6),sF2) = addition(multiplication(domain(sF6),sF2),sF6),
inference(superposition,[],[f289,f997]) ).
fof(f2805,plain,
multiplication(sF4,sF2) = addition(multiplication(sF4,sF2),sF6),
inference(forward_demodulation,[],[f2764,f660]) ).
fof(f2838,plain,
sF4 = addition(sF4,sF6),
inference(forward_demodulation,[],[f2805,f2331]) ).
fof(f3062,plain,
multiplication(one,sF5) = addition(sF6,multiplication(one,sF5)),
inference(superposition,[],[f157,f179]) ).
fof(f3103,plain,
sF5 = addition(sF6,sF5),
inference(forward_demodulation,[],[f3062,f28]) ).
fof(f3130,plain,
sF5 = addition(sF5,sF6),
inference(superposition,[],[f22,f3103]) ).
fof(f3452,plain,
! [X0,X1] : addition(multiplication(domain(X0),X1),X1) = multiplication(domain(addition(X0,X1)),X1),
inference(superposition,[],[f290,f37]) ).
fof(f3521,plain,
! [X0,X1] : multiplication(domain(addition(X0,X1)),X1) = X1,
inference(forward_demodulation,[],[f3452,f1568]) ).
fof(f3625,plain,
sF6 = multiplication(domain(sF2),sF6),
inference(superposition,[],[f3521,f997]) ).
fof(f3630,plain,
sF6 = multiplication(domain(sF5),sF6),
inference(superposition,[],[f3521,f3130]) ).
fof(f3680,plain,
sF6 = multiplication(sF5,sF6),
inference(forward_demodulation,[],[f3630,f64]) ).
fof(f3682,plain,
sF6 = multiplication(sF2,sF6),
inference(forward_demodulation,[],[f3625,f63]) ).
fof(f3717,plain,
multiplication(domain(sF6),multiplication(sF2,domain(sF6))) = addition(multiplication(sF2,domain(sF6)),multiplication(domain(sF6),multiplication(sF2,domain(sF6)))),
inference(superposition,[],[f55,f3682]) ).
fof(f3721,plain,
multiplication(domain(sF6),multiplication(sF2,domain(sF6))) = multiplication(addition(sF2,multiplication(domain(sF6),sF2)),domain(sF6)),
inference(forward_demodulation,[],[f3717,f159]) ).
fof(f3722,plain,
multiplication(domain(sF6),multiplication(sF2,domain(sF6))) = multiplication(addition(one,domain(sF6)),multiplication(sF2,domain(sF6))),
inference(forward_demodulation,[],[f3721,f245]) ).
fof(f3723,plain,
multiplication(sF4,multiplication(sF2,sF4)) = multiplication(addition(one,sF4),multiplication(sF2,sF4)),
inference(forward_demodulation,[],[f3722,f660]) ).
fof(f3724,plain,
multiplication(sF4,multiplication(sF2,sF4)) = multiplication(one,multiplication(sF2,sF4)),
inference(forward_demodulation,[],[f3723,f736]) ).
fof(f3725,plain,
multiplication(sF2,sF4) = multiplication(sF4,multiplication(sF2,sF4)),
inference(forward_demodulation,[],[f3724,f28]) ).
fof(f3726,plain,
multiplication(sF4,sF4) = multiplication(sF2,sF4),
inference(forward_demodulation,[],[f3725,f2361]) ).
fof(f3727,plain,
sF4 = multiplication(sF2,sF4),
inference(forward_demodulation,[],[f3726,f493]) ).
fof(f3751,plain,
multiplication(domain(sF6),multiplication(sF5,domain(sF6))) = addition(multiplication(sF5,domain(sF6)),multiplication(domain(sF6),multiplication(sF5,domain(sF6)))),
inference(superposition,[],[f55,f3680]) ).
fof(f3755,plain,
multiplication(domain(sF6),multiplication(sF5,domain(sF6))) = multiplication(addition(sF5,multiplication(domain(sF6),sF5)),domain(sF6)),
inference(forward_demodulation,[],[f3751,f159]) ).
fof(f3757,plain,
multiplication(domain(sF6),multiplication(sF5,domain(sF6))) = multiplication(addition(one,domain(sF6)),multiplication(sF5,domain(sF6))),
inference(forward_demodulation,[],[f3755,f245]) ).
fof(f3758,plain,
multiplication(sF4,multiplication(sF5,sF4)) = multiplication(addition(one,sF4),multiplication(sF5,sF4)),
inference(forward_demodulation,[],[f3757,f660]) ).
fof(f3759,plain,
multiplication(sF4,multiplication(sF5,sF4)) = multiplication(one,multiplication(sF5,sF4)),
inference(forward_demodulation,[],[f3758,f736]) ).
fof(f3760,plain,
multiplication(sF5,sF4) = multiplication(sF4,multiplication(sF5,sF4)),
inference(forward_demodulation,[],[f3759,f28]) ).
fof(f3761,plain,
multiplication(sF4,sF4) = multiplication(sF5,sF4),
inference(forward_demodulation,[],[f3760,f2577]) ).
fof(f3762,plain,
sF4 = multiplication(sF5,sF4),
inference(forward_demodulation,[],[f3761,f493]) ).
fof(f3763,plain,
multiplication(sF6,sF4) = multiplication(sF2,sF4),
inference(superposition,[],[f68,f3762]) ).
fof(f3775,plain,
sF4 = multiplication(sF6,sF4),
inference(forward_demodulation,[],[f3763,f3727]) ).
fof(f3782,plain,
sF6 = addition(sF4,sF6),
inference(superposition,[],[f798,f3775]) ).
fof(f3793,plain,
sF4 = sF6,
inference(forward_demodulation,[],[f3782,f2838]) ).
fof(f3795,plain,
$false,
inference(forward_subsumption_resolution,[],[f3793,f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE060+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:07:37 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.62/2.21 % (211799)Detected formulas, will run a generic FOF schedule.
% 8.62/2.21 % (211806)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=2858579602:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.62/2.21 % (211809)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1928523637:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.62/2.21 % (211807)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1248607674:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.62/2.21 % (211808)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=427398461:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.62/2.21 % (211804)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=4289582726:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.62/2.21 % (211810)dis-21_1_sil=8000:lcm=predicate:random_seed=856291038: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)
% 8.62/2.21 % (211805)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=1573938562:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.62/2.21 % (211807)Refutation not found, incomplete strategy
% 8.62/2.21 % (211807)------------------------------
% 8.62/2.21 % (211807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.21 % (211807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.21 % (211807)CaDiCaL version: 2.1.3
% 8.62/2.21 % (211807)Termination reason: Refutation not found, incomplete strategy
% 8.62/2.21 % (211807)Time elapsed: 0.001 s
% 8.62/2.21 % (211807)Peak memory usage: 88 MB
% 8.62/2.21 % (211810)Refutation not found, incomplete strategy
% 8.62/2.21 % (211810)------------------------------
% 8.62/2.21 % (211810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.21 % (211810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.21 % (211810)CaDiCaL version: 2.1.3
% 8.62/2.21 % (211810)Termination reason: Refutation not found, incomplete strategy
% 8.62/2.21 % (211810)Time elapsed: 0.001 s
% 8.62/2.21 % (211810)Peak memory usage: 88 MB
% 8.62/2.21 % (211810)Instructions burned: 1 (million)
% 8.62/2.21 % (211808)Instruction limit reached!
% 8.62/2.21 % (211808)------------------------------
% 8.62/2.21 % (211808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.21 % (211808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.21 % (211808)CaDiCaL version: 2.1.3
% 8.62/2.21 % (211808)Termination reason: Instruction limit
% 8.62/2.21 % (211808)Termination phase: Saturation
% 8.62/2.21 % (211808)Time elapsed: 0.062 s
% 8.62/2.21 % (211808)Peak memory usage: 88 MB
% 8.62/2.21 % (211808)Instructions burned: 119 (million)
% 8.62/2.21 % (211809)Instruction limit reached!
% 8.62/2.21 % (211809)------------------------------
% 8.62/2.21 % (211809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.21 % (211809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.21 % (211809)CaDiCaL version: 2.1.3
% 8.62/2.21 % (211809)Termination reason: Instruction limit
% 8.62/2.21 % (211809)Termination phase: Saturation
% 8.62/2.21 % (211809)Time elapsed: 0.084 s
% 8.62/2.21 % (211809)Peak memory usage: 89 MB
% 8.62/2.21 % (211809)Instructions burned: 140 (million)
% 8.62/2.21 % (211818)lrs+10_1_sil=8000:sp=occurrence:random_seed=4083254283:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.62/2.21 % (211819)lrs+10_1_sil=32000:urr=on:br=off:random_seed=164499035:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.62/2.21 % (211807)------------------------------
% 8.62/2.21 % (211807)------------------------------
% 8.62/2.21 % (211810)------------------------------
% 8.62/2.21 % (211810)------------------------------
% 8.62/2.21 % (211819)Instruction limit reached!
% 8.62/2.21 % (211819)------------------------------
% 8.62/2.21 % (211819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.21 % (211819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.21 % (211819)CaDiCaL version: 2.1.3
% 8.62/2.21 % (211819)Termination reason: Instruction limit
% 8.62/2.21 % (211819)Termination phase: Saturation
% 8.62/2.21 % (211819)Time elapsed: 0.097 s
% 8.62/2.21 % (211819)Peak memory usage: 90 MB
% 8.62/2.21 % (211819)Instructions burned: 157 (million)
% 8.62/2.21 % (211806)Refutation not found, incomplete strategy
% 8.62/2.21 % (211806)------------------------------
% 8.62/2.21 % (211806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.21 % (211806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.21 % (211806)CaDiCaL version: 2.1.3
% 8.62/2.21 % (211806)Termination reason: Refutation not found, incomplete strategy
% 8.62/2.21 % (211806)Time elapsed: 0.359 s
% 8.62/2.21 % (211806)Peak memory usage: 127 MB
% 8.62/2.21 % (211806)Instructions burned: 889 (million)
% 8.62/2.21 % (211818)Instruction limit reached!
% 8.62/2.21 % (211818)------------------------------
% 8.62/2.21 % (211818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.21 % (211818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.21 % (211818)CaDiCaL version: 2.1.3
% 8.62/2.21 % (211818)Termination reason: Instruction limit
% 8.62/2.21 % (211818)Termination phase: Saturation
% 8.62/2.21 % (211818)Time elapsed: 0.171 s
% 8.62/2.21 % (211818)Peak memory usage: 91 MB
% 8.62/2.21 % (211818)Instructions burned: 286 (million)
% 8.62/2.21 % (211823)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=4255926044:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 8.62/2.21 % (211822)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1077259163:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 8.62/2.21 % (211824)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3930972663:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.62/2.21 % (211824)Refutation not found, incomplete strategy
% 8.62/2.21 % (211824)------------------------------
% 8.62/2.21 % (211824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.21 % (211824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.21 % (211824)CaDiCaL version: 2.1.3
% 8.62/2.21 % (211824)Termination reason: Refutation not found, incomplete strategy
% 8.62/2.21 % (211824)Time elapsed: 0.001 s
% 8.62/2.21 % (211824)Peak memory usage: 88 MB
% 8.62/2.21 % (211824)Instructions burned: 1 (million)
% 8.62/2.21 % (211806)------------------------------
% 8.62/2.21 % (211806)------------------------------
% 8.62/2.21 % (211825)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=20405527:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.62/2.21 % (211823)Instruction limit reached!
% 8.62/2.21 % (211823)------------------------------
% 8.62/2.21 % (211823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.21 % (211823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.21 % (211823)CaDiCaL version: 2.1.3
% 8.62/2.21 % (211823)Termination reason: Instruction limit
% 8.62/2.21 % (211823)Termination phase: Saturation
% 8.62/2.21 % (211823)Time elapsed: 0.152 s
% 8.62/2.21 % (211823)Peak memory usage: 91 MB
% 8.62/2.21 % (211823)Instructions burned: 249 (million)
% 8.62/2.21 % (211829)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3032138207:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.62/2.21 % (211829)Refutation not found, incomplete strategy
% 8.62/2.21 % (211829)------------------------------
% 8.62/2.21 % (211829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.21 % (211829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.21 % (211829)CaDiCaL version: 2.1.3
% 8.62/2.21 % (211829)Termination reason: Refutation not found, incomplete strategy
% 8.62/2.21 % (211829)Time elapsed: 0.001 s
% 8.62/2.21 % (211829)Peak memory usage: 88 MB
% 8.62/2.21 % (211822)Instruction limit reached!
% 8.62/2.21 % (211822)------------------------------
% 8.62/2.21 % (211822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.21 % (211822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.21 % (211822)CaDiCaL version: 2.1.3
% 8.62/2.21 % (211822)Termination reason: Instruction limit
% 8.62/2.21 % (211822)Termination phase: Saturation
% 8.62/2.21 % (211822)Time elapsed: 0.197 s
% 8.62/2.21 % (211822)Peak memory usage: 91 MB
% 8.62/2.21 % (211822)Instructions burned: 326 (million)
% 8.62/2.21 % (211831)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=190025399:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 8.62/2.21 % (211831)Refutation not found, incomplete strategy
% 8.62/2.21 % (211831)------------------------------
% 8.62/2.21 % (211831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.21 % (211831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.21 % (211831)CaDiCaL version: 2.1.3
% 8.62/2.21 % (211831)Termination reason: Refutation not found, incomplete strategy
% 8.62/2.21 % (211831)Time elapsed: 0.001 s
% 8.62/2.21 % (211831)Peak memory usage: 87 MB
% 8.62/2.21 % (211824)------------------------------
% 8.62/2.21 % (211824)------------------------------
% 8.62/2.21 % (211833)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=816026853:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.62/2.21 % (211833)Refutation not found, incomplete strategy
% 8.62/2.21 % (211833)------------------------------
% 8.62/2.21 % (211833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.21 % (211833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.21 % (211833)CaDiCaL version: 2.1.3
% 8.62/2.21 % (211833)Termination reason: Refutation not found, incomplete strategy
% 8.62/2.21 % (211833)Time elapsed: 0.001 s
% 8.62/2.21 % (211833)Peak memory usage: 88 MB
% 8.62/2.21 % (211829)------------------------------
% 8.62/2.21 % (211829)------------------------------
% 8.62/2.21 % (211835)lrs+10_1_sil=8000:sp=occurrence:random_seed=1300366157:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.62/2.21 % (211837)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4189151483:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.62/2.21 % (211837)Refutation not found, incomplete strategy
% 8.62/2.21 % (211837)------------------------------
% 8.62/2.21 % (211837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.21 % (211837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.21 % (211837)CaDiCaL version: 2.1.3
% 8.62/2.21 % (211837)Termination reason: Refutation not found, incomplete strategy
% 8.62/2.21 % (211837)Time elapsed: 0.001 s
% 8.62/2.21 % (211837)Peak memory usage: 88 MB
% 8.62/2.21 % (211831)------------------------------
% 8.62/2.21 % (211831)------------------------------
% 8.62/2.21 % (211804)First to succeed.
% 8.62/2.21 % (211804)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-211799"
% 8.62/2.21 % (211833)------------------------------
% 8.62/2.21 % (211833)------------------------------
% 8.62/2.21 % (211837)------------------------------
% 8.62/2.21 % (211837)------------------------------
% 8.62/2.21 % (211840)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2717946489:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 8.62/2.21 % (211842)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1401311254:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 8.62/2.21 % (211841)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1892516234:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 8.62/2.21 % (211841)Refutation not found, incomplete strategy
% 8.62/2.21 % (211841)------------------------------
% 8.62/2.21 % (211841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.62/2.21 % (211841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.62/2.21 % (211841)CaDiCaL version: 2.1.3
% 8.62/2.21 % (211841)Termination reason: Refutation not found, incomplete strategy
% 8.62/2.21 % (211841)Time elapsed: 0.001 s
% 8.62/2.21 % (211841)Peak memory usage: 88 MB
% 8.62/2.21 % (211804)Refutation found. Thanks to Tanya!
% 8.62/2.21 % SZS status Theorem for theBenchmark
% 8.62/2.21 % SZS output start Proof for theBenchmark
% See solution above
% 10.20/2.31 % (211804)------------------------------
% 10.20/2.31 % (211804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.20/2.31 % (211804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.20/2.31 % (211804)CaDiCaL version: 2.1.3
% 10.20/2.31 % (211804)Termination reason: Refutation
% 10.20/2.31 % (211804)Time elapsed: 0.957 s
% 10.20/2.31 % (211804)Peak memory usage: 133 MB
% 10.20/2.31 % (211804)Instructions burned: 1475 (million)
% 10.20/2.31 % (211804)------------------------------
% 10.20/2.31 % (211804)------------------------------
% 10.20/2.31 % (211799)Success in time 1.366 s
% 10.20/2.31 % Vampire exiting
%------------------------------------------------------------------------------