%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE023+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 : 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 11:40:05 AM UTC 2026
% Result : Theorem 12.28s 2.63s
% Output : Refutation 13.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 21
% Syntax : Number of formulae : 119 ( 101 unt; 8 def)
% Number of atoms : 167 ( 129 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 74 ( 26 ~; 20 |; 20 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 102 ( 96 !; 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(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_3) ).
fof(f17,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(f18,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)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f21,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,[],[f18]) ).
fof(f22,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,[],[f21]) ).
fof(f26,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(f27,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f19]) ).
fof(f29,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)],[f22]) ).
fof(f30,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f31,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f32,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f33,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f34,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f35,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f36,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f37,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f39,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f43,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f27]) ).
fof(f44,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f45,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f47,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f50,plain,
test(sK3),
inference(cnf_transformation,[],[f29]) ).
fof(f51,plain,
test(sK2),
inference(cnf_transformation,[],[f29]) ).
fof(f52,plain,
multiplication(sK1,sK3) = addition(multiplication(sK2,sK1),multiplication(sK1,sK3)),
inference(cnf_transformation,[],[f29]) ).
fof(f53,plain,
multiplication(c(sK2),sK1) != addition(multiplication(sK1,c(sK3)),multiplication(c(sK2),sK1)),
inference(cnf_transformation,[],[f29]) ).
fof(f54,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f47]) ).
fof(f55,definition,
sF4 = c(sK2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f56,plain,
c(sK2) = sF4,
inference(reorient_equations,[],[f55]) ).
fof(f57,definition,
sF5 = multiplication(sF4,sK1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f58,plain,
multiplication(sF4,sK1) = sF5,
inference(reorient_equations,[],[f57]) ).
fof(f59,definition,
sF6 = c(sK3),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f60,plain,
c(sK3) = sF6,
inference(reorient_equations,[],[f59]) ).
fof(f61,definition,
sF7 = multiplication(sK1,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f62,plain,
multiplication(sK1,sF6) = sF7,
inference(reorient_equations,[],[f61]) ).
fof(f63,definition,
sF8 = addition(sF7,sF5),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f64,plain,
addition(sF7,sF5) = sF8,
inference(reorient_equations,[],[f63]) ).
fof(f65,plain,
sF5 != sF8,
inference(definition_folding,[],[f53,f64,f58,f56,f62,f60,f58,f56]) ).
fof(f66,definition,
sF9 = multiplication(sK1,sK3),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f67,plain,
multiplication(sK1,sK3) = sF9,
inference(reorient_equations,[],[f66]) ).
fof(f68,definition,
sF10 = multiplication(sK2,sK1),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f69,plain,
multiplication(sK2,sK1) = sF10,
inference(reorient_equations,[],[f68]) ).
fof(f70,definition,
sF11 = addition(sF10,sF9),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f71,plain,
addition(sF10,sF9) = sF11,
inference(reorient_equations,[],[f70]) ).
fof(f72,plain,
sF9 = sF11,
inference(definition_folding,[],[f52,f71,f67,f69,f67]) ).
fof(f73,plain,
sF9 = addition(sF10,sF9),
inference(forward_demodulation,[],[f71,f72]) ).
fof(f75,plain,
( complement(sK3,sF6)
| ~ test(sK3) ),
inference(superposition,[],[f54,f60]) ).
fof(f76,plain,
( complement(sK2,sF4)
| ~ test(sK2) ),
inference(superposition,[],[f54,f56]) ).
fof(f77,plain,
complement(sK2,sF4),
inference(forward_subsumption_resolution,[],[f76,f51]) ).
fof(f78,plain,
complement(sK3,sF6),
inference(forward_subsumption_resolution,[],[f75,f50]) ).
fof(f80,plain,
! [X0] : multiplication(sK1,addition(sF6,X0)) = addition(sF7,multiplication(sK1,X0)),
inference(superposition,[],[f37,f62]) ).
fof(f86,plain,
! [X0] : multiplication(sF4,addition(X0,sK1)) = addition(multiplication(sF4,X0),sF5),
inference(superposition,[],[f37,f58]) ).
fof(f98,plain,
! [X0] : multiplication(addition(sF4,X0),sK1) = addition(sF5,multiplication(X0,sK1)),
inference(superposition,[],[f38,f58]) ).
fof(f121,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f31,f37]) ).
fof(f135,plain,
! [X0] : multiplication(sK1,multiplication(sK3,X0)) = multiplication(sF9,X0),
inference(superposition,[],[f34,f67]) ).
fof(f136,plain,
! [X0] : multiplication(sK1,multiplication(sF6,X0)) = multiplication(sF7,X0),
inference(superposition,[],[f34,f62]) ).
fof(f188,plain,
one = addition(sF4,sK2),
inference(resolution,[],[f77,f43]) ).
fof(f190,plain,
one = addition(sF6,sK3),
inference(resolution,[],[f78,f43]) ).
fof(f204,plain,
multiplication(sK1,addition(sF6,sK3)) = addition(sF7,sF9),
inference(superposition,[],[f80,f67]) ).
fof(f208,plain,
addition(sF7,sF9) = multiplication(sK1,one),
inference(forward_demodulation,[],[f204,f190]) ).
fof(f210,plain,
sK1 = addition(sF7,sF9),
inference(forward_demodulation,[],[f208,f35]) ).
fof(f253,plain,
multiplication(addition(sF4,sK2),sK1) = addition(sF5,sF10),
inference(superposition,[],[f98,f69]) ).
fof(f257,plain,
multiplication(one,sK1) = addition(sF5,sF10),
inference(forward_demodulation,[],[f253,f188]) ).
fof(f259,plain,
sK1 = addition(sF5,sF10),
inference(forward_demodulation,[],[f257,f36]) ).
fof(f262,plain,
! [X0] : addition(sK1,X0) = addition(sF5,addition(sF10,X0)),
inference(superposition,[],[f31,f259]) ).
fof(f293,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f31,f33]) ).
fof(f317,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,[],[f121,f38]) ).
fof(f377,plain,
! [X0,X1] : addition(multiplication(X0,sF6),multiplication(addition(X0,X1),sK3)) = addition(multiplication(X0,one),multiplication(X1,sK3)),
inference(superposition,[],[f317,f190]) ).
fof(f381,plain,
! [X0,X1] : addition(multiplication(X0,sF7),multiplication(addition(X0,X1),sF9)) = addition(multiplication(X0,sK1),multiplication(X1,sF9)),
inference(superposition,[],[f317,f210]) ).
fof(f452,plain,
! [X0,X1] : addition(multiplication(X0,sF6),multiplication(addition(X0,X1),sK3)) = addition(X0,multiplication(X1,sK3)),
inference(forward_demodulation,[],[f377,f35]) ).
fof(f497,plain,
! [X0] : addition(X0,multiplication(X0,sK3)) = addition(multiplication(X0,sF6),multiplication(X0,sK3)),
inference(superposition,[],[f452,f33]) ).
fof(f552,plain,
! [X0] : multiplication(X0,addition(sF6,sK3)) = addition(X0,multiplication(X0,sK3)),
inference(forward_demodulation,[],[f497,f37]) ).
fof(f569,plain,
! [X0] : multiplication(X0,one) = addition(X0,multiplication(X0,sK3)),
inference(forward_demodulation,[],[f552,f190]) ).
fof(f581,plain,
! [X0] : addition(X0,multiplication(X0,sK3)) = X0,
inference(forward_demodulation,[],[f569,f35]) ).
fof(f697,plain,
sK1 = addition(sK1,sF9),
inference(superposition,[],[f581,f67]) ).
fof(f888,plain,
! [X0] : addition(zero,X0) = X0,
inference(superposition,[],[f30,f32]) ).
fof(f947,plain,
one = addition(sF4,one),
inference(superposition,[],[f293,f188]) ).
fof(f955,plain,
sK1 = addition(sF7,sK1),
inference(superposition,[],[f293,f210]) ).
fof(f1201,plain,
zero = multiplication(sK3,sF6),
inference(resolution,[],[f44,f78]) ).
fof(f1230,plain,
multiplication(sF9,sF6) = multiplication(sK1,zero),
inference(superposition,[],[f135,f1201]) ).
fof(f1253,plain,
zero = multiplication(sF9,sF6),
inference(forward_demodulation,[],[f1230,f39]) ).
fof(f1475,plain,
zero = multiplication(sF6,sK3),
inference(resolution,[],[f45,f78]) ).
fof(f1510,plain,
! [X0] : multiplication(sF6,addition(X0,sK3)) = addition(multiplication(sF6,X0),zero),
inference(superposition,[],[f37,f1475]) ).
fof(f1525,plain,
! [X0] : multiplication(sF6,X0) = multiplication(sF6,addition(X0,sK3)),
inference(forward_demodulation,[],[f1510,f32]) ).
fof(f1728,plain,
! [X0] : addition(zero,multiplication(X0,sF6)) = multiplication(addition(sF9,X0),sF6),
inference(superposition,[],[f38,f1253]) ).
fof(f1739,plain,
! [X0] : multiplication(X0,sF6) = multiplication(addition(sF9,X0),sF6),
inference(forward_demodulation,[],[f1728,f888]) ).
fof(f3411,plain,
addition(sK1,sF9) = addition(sF5,sF9),
inference(superposition,[],[f262,f73]) ).
fof(f3459,plain,
sK1 = addition(sF5,sF9),
inference(forward_demodulation,[],[f3411,f697]) ).
fof(f3518,plain,
multiplication(sF6,sF6) = multiplication(sF6,one),
inference(superposition,[],[f1525,f190]) ).
fof(f3546,plain,
sF6 = multiplication(sF6,sF6),
inference(forward_demodulation,[],[f3518,f35]) ).
fof(f3557,plain,
multiplication(sK1,sF6) = multiplication(sF7,sF6),
inference(superposition,[],[f136,f3546]) ).
fof(f3583,plain,
sF7 = multiplication(sF7,sF6),
inference(forward_demodulation,[],[f3557,f62]) ).
fof(f7537,plain,
addition(multiplication(sF4,sF7),multiplication(one,sF9)) = addition(multiplication(sF4,sK1),multiplication(one,sF9)),
inference(superposition,[],[f381,f947]) ).
fof(f7629,plain,
addition(multiplication(sF4,sF7),sF9) = addition(multiplication(sF4,sK1),sF9),
inference(forward_demodulation,[],[f7537,f36]) ).
fof(f7702,plain,
addition(sF5,sF9) = addition(multiplication(sF4,sF7),sF9),
inference(forward_demodulation,[],[f7629,f58]) ).
fof(f7757,plain,
sK1 = addition(multiplication(sF4,sF7),sF9),
inference(forward_demodulation,[],[f7702,f3459]) ).
fof(f8194,plain,
sK1 = addition(sF9,multiplication(sF4,sF7)),
inference(superposition,[],[f30,f7757]) ).
fof(f10613,plain,
multiplication(sK1,sF6) = multiplication(multiplication(sF4,sF7),sF6),
inference(superposition,[],[f1739,f8194]) ).
fof(f10638,plain,
multiplication(sK1,sF6) = multiplication(sF4,multiplication(sF7,sF6)),
inference(forward_demodulation,[],[f10613,f34]) ).
fof(f10645,plain,
multiplication(sK1,sF6) = multiplication(sF4,sF7),
inference(forward_demodulation,[],[f10638,f3583]) ).
fof(f10649,plain,
sF7 = multiplication(sF4,sF7),
inference(forward_demodulation,[],[f10645,f62]) ).
fof(f10660,plain,
addition(sF7,sF5) = multiplication(sF4,addition(sF7,sK1)),
inference(superposition,[],[f86,f10649]) ).
fof(f10686,plain,
multiplication(sF4,sK1) = addition(sF7,sF5),
inference(forward_demodulation,[],[f10660,f955]) ).
fof(f10692,plain,
multiplication(sF4,sK1) = sF8,
inference(forward_demodulation,[],[f10686,f64]) ).
fof(f10695,plain,
sF5 = sF8,
inference(forward_demodulation,[],[f10692,f58]) ).
fof(f10697,plain,
$false,
inference(forward_subsumption_resolution,[],[f10695,f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE023+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 % Computer : n017.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sun Sep 27 12:55:35 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.46/2.35 % (2530495)Detected formulas, will run a generic FOF schedule.
% 10.46/2.35 % (2530506)dis-21_1_sil=8000:lcm=predicate:random_seed=3797415913: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)
% 10.46/2.35 % (2530506)Refutation not found, incomplete strategy
% 10.46/2.35 % (2530506)------------------------------
% 10.46/2.35 % (2530506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.35 % (2530506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.35 % (2530506)CaDiCaL version: 2.1.3
% 10.46/2.35 % (2530506)Termination reason: Refutation not found, incomplete strategy
% 10.46/2.35 % (2530506)Time elapsed: 0.001 s
% 10.46/2.35 % (2530506)Peak memory usage: 88 MB
% 10.46/2.35 % (2530506)Instructions burned: 2 (million)
% 10.46/2.35 % (2530502)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=3312418233:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.46/2.35 % (2530500)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=2051703239:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.46/2.35 % (2530501)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=1390427974:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.46/2.35 % (2530503)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1911556350:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.46/2.35 % (2530505)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4203025660:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.46/2.35 % (2530504)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2007986577:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.46/2.35 % (2530503)Instruction limit reached!
% 10.46/2.35 % (2530503)------------------------------
% 10.46/2.35 % (2530503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.35 % (2530503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.35 % (2530503)CaDiCaL version: 2.1.3
% 10.46/2.35 % (2530503)Termination reason: Instruction limit
% 10.46/2.35 % (2530503)Termination phase: Saturation
% 10.46/2.35 % (2530503)Time elapsed: 0.067 s
% 10.46/2.35 % (2530503)Peak memory usage: 89 MB
% 10.46/2.35 % (2530503)Instructions burned: 109 (million)
% 10.46/2.35 % (2530504)Instruction limit reached!
% 10.46/2.35 % (2530504)------------------------------
% 10.46/2.35 % (2530504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.35 % (2530504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.35 % (2530504)CaDiCaL version: 2.1.3
% 10.46/2.35 % (2530504)Termination reason: Instruction limit
% 10.46/2.35 % (2530504)Termination phase: Saturation
% 10.46/2.35 % (2530504)Time elapsed: 0.070 s
% 10.46/2.35 % (2530504)Peak memory usage: 88 MB
% 10.46/2.35 % (2530504)Instructions burned: 119 (million)
% 10.46/2.35 % (2530505)Instruction limit reached!
% 10.46/2.35 % (2530505)------------------------------
% 10.46/2.35 % (2530505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.35 % (2530505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.35 % (2530505)CaDiCaL version: 2.1.3
% 10.46/2.35 % (2530505)Termination reason: Instruction limit
% 10.46/2.35 % (2530505)Termination phase: Saturation
% 10.46/2.35 % (2530505)Time elapsed: 0.081 s
% 10.46/2.35 % (2530505)Peak memory usage: 90 MB
% 10.46/2.35 % (2530505)Instructions burned: 139 (million)
% 10.46/2.35 % (2530506)------------------------------
% 10.46/2.35 % (2530506)------------------------------
% 10.46/2.35 % (2530514)lrs+10_1_sil=8000:sp=occurrence:random_seed=572898193:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.46/2.35 % (2530515)lrs+10_1_sil=32000:urr=on:br=off:random_seed=908634066:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.46/2.35 % (2530517)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=3349629044:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.46/2.35 % (2530516)lrs+1011_1_sil=32000:sp=occurrence:random_seed=691687050:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.28/2.63 % (2530517)Instruction limit reached!
% 12.28/2.63 % (2530517)------------------------------
% 12.28/2.63 % (2530517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.63 % (2530517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.63 % (2530517)CaDiCaL version: 2.1.3
% 12.28/2.63 % (2530517)Termination reason: Instruction limit
% 12.28/2.63 % (2530517)Termination phase: Saturation
% 12.28/2.63 % (2530517)Time elapsed: 0.080 s
% 12.28/2.63 % (2530517)Peak memory usage: 91 MB
% 12.28/2.63 % (2530517)Instructions burned: 251 (million)
% 12.28/2.63 % (2530515)Instruction limit reached!
% 12.28/2.63 % (2530515)------------------------------
% 12.28/2.63 % (2530515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.63 % (2530515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.63 % (2530515)CaDiCaL version: 2.1.3
% 12.28/2.63 % (2530515)Termination reason: Instruction limit
% 12.28/2.63 % (2530515)Termination phase: Saturation
% 12.28/2.63 % (2530515)Time elapsed: 0.092 s
% 12.28/2.63 % (2530515)Peak memory usage: 89 MB
% 12.28/2.63 % (2530515)Instructions burned: 158 (million)
% 12.28/2.63 % (2530522)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3853576706:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 12.28/2.63 % (2530514)Instruction limit reached!
% 12.28/2.63 % (2530514)------------------------------
% 12.28/2.63 % (2530514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.63 % (2530514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.63 % (2530514)CaDiCaL version: 2.1.3
% 12.28/2.63 % (2530514)Termination reason: Instruction limit
% 12.28/2.63 % (2530514)Termination phase: Saturation
% 12.28/2.63 % (2530514)Time elapsed: 0.175 s
% 12.28/2.63 % (2530514)Peak memory usage: 91 MB
% 12.28/2.63 % (2530514)Instructions burned: 286 (million)
% 12.28/2.63 % (2530516)Instruction limit reached!
% 12.28/2.63 % (2530516)------------------------------
% 12.28/2.63 % (2530516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.63 % (2530516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.63 % (2530516)CaDiCaL version: 2.1.3
% 12.28/2.63 % (2530516)Termination reason: Instruction limit
% 12.28/2.63 % (2530516)Termination phase: Saturation
% 12.28/2.63 % (2530516)Time elapsed: 0.196 s
% 12.28/2.63 % (2530516)Peak memory usage: 91 MB
% 12.28/2.63 % (2530516)Instructions burned: 326 (million)
% 12.28/2.63 % (2530523)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=712191844:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 12.28/2.63 % (2530522)Instruction limit reached!
% 12.28/2.63 % (2530522)------------------------------
% 12.28/2.63 % (2530522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.63 % (2530522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.63 % (2530522)CaDiCaL version: 2.1.3
% 12.28/2.63 % (2530522)Termination reason: Instruction limit
% 12.28/2.63 % (2530522)Termination phase: Saturation
% 12.28/2.63 % (2530522)Time elapsed: 0.097 s
% 12.28/2.63 % (2530522)Peak memory usage: 90 MB
% 12.28/2.63 % (2530522)Instructions burned: 296 (million)
% 12.28/2.63 % (2530525)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2237123095:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 12.28/2.63 % (2530526)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2113107840:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 12.28/2.63 % (2530528)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2742026486:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 12.28/2.63 % (2530525)Instruction limit reached!
% 12.28/2.63 % (2530525)------------------------------
% 12.28/2.63 % (2530525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.63 % (2530525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.63 % (2530525)CaDiCaL version: 2.1.3
% 12.28/2.63 % (2530525)Termination reason: Instruction limit
% 12.28/2.63 % (2530525)Termination phase: Saturation
% 12.28/2.63 % (2530525)Time elapsed: 0.081 s
% 12.28/2.63 % (2530525)Peak memory usage: 90 MB
% 12.28/2.63 % (2530525)Instructions burned: 113 (million)
% 12.28/2.63 % (2530528)Instruction limit reached!
% 12.28/2.63 % (2530528)------------------------------
% 12.28/2.63 % (2530528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.63 % (2530528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.63 % (2530528)CaDiCaL version: 2.1.3
% 12.28/2.63 % (2530528)Termination reason: Instruction limit
% 12.28/2.63 % (2530528)Termination phase: Saturation
% 12.28/2.63 % (2530528)Time elapsed: 0.031 s
% 12.28/2.63 % (2530528)Peak memory usage: 89 MB
% 12.28/2.63 % (2530528)Instructions burned: 115 (million)
% 12.28/2.63 % (2530526)Instruction limit reached!
% 12.28/2.63 % (2530526)------------------------------
% 12.28/2.63 % (2530526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.63 % (2530526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.63 % (2530526)CaDiCaL version: 2.1.3
% 12.28/2.63 % (2530526)Termination reason: Instruction limit
% 12.28/2.63 % (2530526)Termination phase: Saturation
% 12.28/2.63 % (2530526)Time elapsed: 0.064 s
% 12.28/2.63 % (2530526)Peak memory usage: 89 MB
% 12.28/2.63 % (2530526)Instructions burned: 129 (million)
% 12.28/2.63 % (2530533)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3934859416:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 12.28/2.63 % (2530532)lrs+10_1_sil=8000:sp=occurrence:random_seed=3029744448:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 12.28/2.63 % (2530534)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=485616804:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 12.28/2.63 % (2530533)Instruction limit reached!
% 12.28/2.63 % (2530533)------------------------------
% 12.28/2.63 % (2530533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.63 % (2530533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.63 % (2530533)CaDiCaL version: 2.1.3
% 12.28/2.63 % (2530533)Termination reason: Instruction limit
% 12.28/2.63 % (2530533)Termination phase: Saturation
% 12.28/2.63 % (2530533)Time elapsed: 0.122 s
% 12.28/2.63 % (2530533)Peak memory usage: 90 MB
% 12.28/2.63 % (2530533)Instructions burned: 439 (million)
% 12.28/2.63 % (2530538)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2512960401:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 12.28/2.63 % (2530538)Instruction limit reached!
% 12.28/2.63 % (2530538)------------------------------
% 12.28/2.63 % (2530538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.63 % (2530538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.63 % (2530538)CaDiCaL version: 2.1.3
% 12.28/2.63 % (2530538)Termination reason: Instruction limit
% 12.28/2.63 % (2530538)Termination phase: Saturation
% 12.28/2.63 % (2530538)Time elapsed: 0.040 s
% 12.28/2.63 % (2530538)Peak memory usage: 90 MB
% 12.28/2.63 % (2530538)Instructions burned: 137 (million)
% 12.28/2.63 % (2530540)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3741817215:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 12.28/2.63 % (2530532)Instruction limit reached!
% 12.28/2.63 % (2530532)------------------------------
% 12.28/2.63 % (2530532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.63 % (2530532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.63 % (2530532)CaDiCaL version: 2.1.3
% 12.28/2.63 % (2530532)Termination reason: Instruction limit
% 12.28/2.63 % (2530532)Termination phase: Saturation
% 12.28/2.63 % (2530532)Time elapsed: 0.515 s
% 12.28/2.63 % (2530532)Peak memory usage: 95 MB
% 12.28/2.63 % (2530532)Instructions burned: 908 (million)
% 12.28/2.63 % (2530540)Instruction limit reached!
% 12.28/2.63 % (2530540)------------------------------
% 12.28/2.63 % (2530540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.63 % (2530540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.63 % (2530540)CaDiCaL version: 2.1.3
% 12.28/2.63 % (2530540)Termination reason: Instruction limit
% 12.28/2.63 % (2530540)Termination phase: Saturation
% 12.28/2.63 % (2530540)Time elapsed: 0.217 s
% 12.28/2.63 % (2530540)Peak memory usage: 96 MB
% 12.28/2.63 % (2530540)Instructions burned: 593 (million)
% 12.28/2.63 % (2530543)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=2745672603:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 12.28/2.63 % (2530542)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4045048149:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 12.28/2.63 % (2530500)First to succeed.
% 12.28/2.63 % (2530500)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2530495"
% 12.28/2.63 % (2530543)Instruction limit reached!
% 12.28/2.63 % (2530543)------------------------------
% 12.28/2.63 % (2530543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.63 % (2530543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.63 % (2530543)CaDiCaL version: 2.1.3
% 12.28/2.63 % (2530543)Termination reason: Instruction limit
% 12.28/2.63 % (2530543)Termination phase: Saturation
% 12.28/2.63 % (2530543)Time elapsed: 0.047 s
% 12.28/2.63 % (2530543)Peak memory usage: 90 MB
% 12.28/2.63 % (2530543)Instructions burned: 127 (million)
% 12.28/2.63 % (2530523)Also succeeded, but the first one will report.
% 12.28/2.63 % (2530546)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=674795814:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 12.28/2.63 % (2530546)Instruction limit reached!
% 12.28/2.63 % (2530546)------------------------------
% 12.28/2.63 % (2530546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.28/2.63 % (2530546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.63 % (2530546)CaDiCaL version: 2.1.3
% 12.28/2.63 % (2530546)Termination reason: Instruction limit
% 12.28/2.63 % (2530546)Termination phase: Saturation
% 12.28/2.63 % (2530546)Time elapsed: 0.039 s
% 12.28/2.63 % (2530546)Peak memory usage: 89 MB
% 12.28/2.63 % (2530546)Instructions burned: 136 (million)
% 12.28/2.63 % (2530501)Also succeeded, but the first one will report.
% 12.28/2.63 % (2530500)Refutation found. Thanks to Tanya!
% 12.28/2.63 % SZS status Theorem for theBenchmark
% 12.28/2.63 % SZS output start Proof for theBenchmark
% See solution above
% 13.10/2.83 % (2530500)------------------------------
% 13.10/2.83 % (2530500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.10/2.83 % (2530500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.10/2.83 % (2530500)CaDiCaL version: 2.1.3
% 13.10/2.83 % (2530500)Termination reason: Refutation
% 13.10/2.83 % (2530500)Time elapsed: 1.357 s
% 13.10/2.83 % (2530500)Peak memory usage: 140 MB
% 13.10/2.83 % (2530500)Instructions burned: 2113 (million)
% 13.10/2.83 % (2530500)------------------------------
% 13.10/2.83 % (2530500)------------------------------
% 13.10/2.83 % (2530495)Success in time 1.775 s
% 13.10/2.83 % Vampire exiting
%------------------------------------------------------------------------------