%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE018+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 : n026.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 11:40:04 AM UTC 2026
% Result : Theorem 13.07s 3.52s
% Output : Refutation 19.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 88 ( 52 unt; 4 def)
% Number of atoms : 168 ( 75 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 128 ( 48 ~; 40 |; 29 &)
% ( 6 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 98 ( 0 sgn 89 !; 9 ?)
% 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(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
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(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f13,axiom,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_1) ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( ( test(X0)
& test(X1)
& test(X2) )
=> ( leq(multiplication(X0,c(X1)),X2)
=> leq(X0,addition(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( ( test(X0)
& test(X1)
& test(X2) )
=> ( leq(multiplication(X0,c(X1)),X2)
=> leq(X0,addition(X1,X2)) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f21,plain,
? [X0,X1,X2] :
( ~ leq(X0,addition(X1,X2))
& leq(multiplication(X0,c(X1)),X2)
& test(X0)
& test(X1)
& test(X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
? [X0,X1,X2] :
( ~ leq(X0,addition(X1,X2))
& leq(multiplication(X0,c(X1)),X2)
& test(X0)
& test(X1)
& test(X2) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f24,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f25,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f26,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( complement(sK0(X0),X0)
| ~ test(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f28,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f19]) ).
fof(f30,plain,
( ~ leq(sK1,addition(sK2,sK3))
& leq(multiplication(sK1,c(sK2)),sK3)
& test(sK1)
& test(sK2)
& test(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f22]) ).
fof(f31,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f32,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f34,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f36,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f37,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f39,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f42,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f23]) ).
fof(f43,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
! [X0] :
( complement(sK0(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f46,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f28]) ).
fof(f50,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f54,plain,
test(sK2),
inference(cnf_transformation,[],[f30]) ).
fof(f55,plain,
test(sK1),
inference(cnf_transformation,[],[f30]) ).
fof(f56,plain,
leq(multiplication(sK1,c(sK2)),sK3),
inference(cnf_transformation,[],[f30]) ).
fof(f57,plain,
~ leq(sK1,addition(sK2,sK3)),
inference(cnf_transformation,[],[f30]) ).
fof(f58,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f50]) ).
fof(f59,definition,
sF4 = addition(sK2,sK3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f60,plain,
addition(sK2,sK3) = sF4,
inference(reorient_equations,[],[f59]) ).
fof(f61,plain,
~ leq(sK1,sF4),
inference(definition_folding,[],[f57,f60]) ).
fof(f62,definition,
sF5 = c(sK2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f63,plain,
c(sK2) = sF5,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF6 = multiplication(sK1,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f65,plain,
multiplication(sK1,sF5) = sF6,
inference(reorient_equations,[],[f64]) ).
fof(f66,plain,
leq(sF6,sK3),
inference(definition_folding,[],[f56,f65,f63]) ).
fof(f67,plain,
sK3 = addition(sF6,sK3),
inference(resolution,[],[f42,f66]) ).
fof(f68,plain,
( complement(sK2,sF5)
| ~ test(sK2) ),
inference(superposition,[],[f58,f63]) ).
fof(f69,plain,
complement(sK2,sF5),
inference(forward_subsumption_resolution,[],[f68,f54]) ).
fof(f94,plain,
one = addition(sF5,sK2),
inference(resolution,[],[f69,f46]) ).
fof(f141,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f32,f34]) ).
fof(f144,plain,
! [X2,X3,X0,X1] : addition(multiplication(X0,X1),addition(multiplication(X0,X2),X3)) = addition(multiplication(X0,addition(X1,X2)),X3),
inference(superposition,[],[f32,f38]) ).
fof(f145,plain,
! [X0] : addition(sK2,addition(sK3,X0)) = addition(sF4,X0),
inference(superposition,[],[f32,f60]) ).
fof(f152,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f31,f32]) ).
fof(f220,plain,
sF4 = addition(sK2,sF4),
inference(superposition,[],[f141,f60]) ).
fof(f389,plain,
! [X0] : addition(sF4,X0) = addition(sK2,addition(X0,sK3)),
inference(superposition,[],[f145,f31]) ).
fof(f419,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,[],[f144,f39]) ).
fof(f497,plain,
! [X0,X1] : addition(multiplication(X0,sF5),multiplication(addition(X0,X1),sK2)) = addition(multiplication(X0,one),multiplication(X1,sK2)),
inference(superposition,[],[f419,f94]) ).
fof(f585,plain,
! [X0,X1] : addition(multiplication(X0,sF5),multiplication(addition(X0,X1),sK2)) = addition(X0,multiplication(X1,sK2)),
inference(forward_demodulation,[],[f497,f36]) ).
fof(f882,plain,
addition(sK2,sK3) = addition(sF4,sF6),
inference(superposition,[],[f389,f67]) ).
fof(f885,plain,
addition(sK2,sK3) = addition(sF4,sK2),
inference(superposition,[],[f141,f389]) ).
fof(f893,plain,
sF4 = addition(sF4,sK2),
inference(forward_demodulation,[],[f885,f60]) ).
fof(f896,plain,
sF4 = addition(sF4,sF6),
inference(forward_demodulation,[],[f882,f60]) ).
fof(f902,plain,
! [X0] : addition(sF4,X0) = addition(sF4,addition(sF6,X0)),
inference(superposition,[],[f32,f896]) ).
fof(f2578,plain,
! [X0] : addition(X0,sF4) = addition(sF4,addition(X0,sK2)),
inference(superposition,[],[f152,f220]) ).
fof(f3449,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,sK0(X0)) ),
inference(resolution,[],[f44,f46]) ).
fof(f3557,definition,
( spl7_71
<=> one = addition(sK1,one) ),
introduced(definition,[new_symbols(definition,[spl7_71])],[avatar_definition]) ).
fof(f3558,plain,
( one = addition(sK1,one)
| ~ spl7_71 ),
inference(avatar_component_clause,[],[f3557]) ).
fof(f4554,plain,
one = addition(sK1,sK0(sK1)),
inference(resolution,[],[f3449,f55]) ).
fof(f4562,plain,
one = addition(sK1,one),
inference(superposition,[],[f141,f4554]) ).
fof(f4574,plain,
spl7_71,
inference(avatar_split_clause,[],[f4562,f3557]) ).
fof(f8011,plain,
( addition(multiplication(sK1,sF5),multiplication(one,sK2)) = addition(sK1,multiplication(one,sK2))
| ~ spl7_71 ),
inference(superposition,[],[f585,f3558]) ).
fof(f8022,plain,
( addition(sK1,sK2) = addition(multiplication(sK1,sF5),sK2)
| ~ spl7_71 ),
inference(forward_demodulation,[],[f8011,f37]) ).
fof(f8033,plain,
( addition(sK1,sK2) = addition(sF6,sK2)
| ~ spl7_71 ),
inference(forward_demodulation,[],[f8022,f65]) ).
fof(f8039,plain,
( addition(sF4,sK2) = addition(sF4,addition(sK1,sK2))
| ~ spl7_71 ),
inference(superposition,[],[f902,f8033]) ).
fof(f8095,plain,
( addition(sF4,sK2) = addition(sK1,sF4)
| ~ spl7_71 ),
inference(forward_demodulation,[],[f8039,f2578]) ).
fof(f8102,plain,
( sF4 = addition(sK1,sF4)
| ~ spl7_71 ),
inference(forward_demodulation,[],[f8095,f893]) ).
fof(f8113,plain,
( sF4 != sF4
| leq(sK1,sF4)
| ~ spl7_71 ),
inference(superposition,[],[f43,f8102]) ).
fof(f8132,plain,
( leq(sK1,sF4)
| ~ spl7_71 ),
inference(trivial_inequality_removal,[],[f8113]) ).
fof(f8150,plain,
( $false
| ~ spl7_71 ),
inference(forward_subsumption_resolution,[],[f8132,f61]) ).
fof(f8151,plain,
~ spl7_71,
inference(avatar_contradiction_clause,[],[f8150]) ).
cnf(s38,plain,
spl7_71,
inference(sat_conversion,[],[f4574]) ).
cnf(s61,plain,
~ spl7_71,
inference(sat_conversion,[],[f8151]) ).
cnf(s63,plain,
$false,
inference(rat,[],[s38,s61]) ).
fof(f8154,plain,
$false,
inference(avatar_sat_refutation,[],[s63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : KLE018+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n026.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 13:01:57 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 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
% 16.90/3.21 % (2828639)Detected formulas, will run a generic FOF schedule.
% 16.90/3.21 % (2828649)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=930840270:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 16.90/3.21 % (2828649)Instruction limit reached!
% 16.90/3.21 % (2828649)------------------------------
% 16.90/3.21 % (2828649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.90/3.21 % (2828649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.90/3.21 % (2828649)CaDiCaL version: 2.1.3
% 16.90/3.21 % (2828649)Termination reason: Instruction limit
% 16.90/3.21 % (2828649)Termination phase: Saturation
% 16.90/3.21 % (2828649)Time elapsed: 0.073 s
% 16.90/3.21 % (2828649)Peak memory usage: 90 MB
% 16.90/3.21 % (2828649)Instructions burned: 140 (million)
% 16.90/3.21 % (2828647)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=339351530:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 16.90/3.21 % (2828650)dis-21_1_sil=8000:lcm=predicate:random_seed=4200115178: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)
% 16.90/3.21 % (2828645)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=3707953437:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 16.90/3.21 % (2828644)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=2970840270:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 16.90/3.21 % (2828646)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=1071962646:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 16.90/3.21 % (2828648)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3208314622:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 16.90/3.21 % (2828647)Refutation not found, incomplete strategy
% 16.90/3.21 % (2828647)------------------------------
% 16.90/3.21 % (2828647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.90/3.21 % (2828647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.90/3.21 % (2828647)CaDiCaL version: 2.1.3
% 16.90/3.21 % (2828647)Termination reason: Refutation not found, incomplete strategy
% 16.90/3.21 % (2828647)Time elapsed: 0.003 s
% 16.90/3.21 % (2828647)Peak memory usage: 88 MB
% 16.90/3.21 % (2828647)Instructions burned: 1 (million)
% 16.90/3.21 % (2828650)Refutation not found, incomplete strategy
% 16.90/3.21 % (2828650)------------------------------
% 16.90/3.21 % (2828650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.90/3.21 % (2828650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.90/3.21 % (2828650)CaDiCaL version: 2.1.3
% 16.90/3.21 % (2828650)Termination reason: Refutation not found, incomplete strategy
% 16.90/3.21 % (2828650)Time elapsed: 0.004 s
% 16.90/3.21 % (2828650)Peak memory usage: 88 MB
% 16.90/3.21 % (2828650)Instructions burned: 2 (million)
% 16.90/3.21 % (2828648)Instruction limit reached!
% 16.90/3.21 % (2828648)------------------------------
% 16.90/3.21 % (2828648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.90/3.21 % (2828648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.90/3.21 % (2828648)CaDiCaL version: 2.1.3
% 16.90/3.21 % (2828648)Termination reason: Instruction limit
% 16.90/3.21 % (2828648)Termination phase: Saturation
% 16.90/3.21 % (2828648)Time elapsed: 0.117 s
% 16.90/3.21 % (2828648)Peak memory usage: 88 MB
% 16.90/3.21 % (2828648)Instructions burned: 119 (million)
% 16.90/3.21 % (2828652)lrs+10_1_sil=8000:sp=occurrence:random_seed=220755238:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 16.90/3.21 % (2828652)Instruction limit reached!
% 16.90/3.21 % (2828652)------------------------------
% 16.90/3.21 % (2828652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.90/3.21 % (2828652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.90/3.21 % (2828652)CaDiCaL version: 2.1.3
% 16.90/3.21 % (2828652)Termination reason: Instruction limit
% 16.90/3.21 % (2828652)Termination phase: Saturation
% 16.90/3.21 % (2828652)Time elapsed: 0.164 s
% 16.90/3.21 % (2828652)Peak memory usage: 91 MB
% 16.90/3.21 % (2828652)Instructions burned: 285 (million)
% 16.90/3.21 % (2828650)------------------------------
% 13.07/3.52 % (2828650)------------------------------
% 13.07/3.52 % (2828647)------------------------------
% 13.07/3.52 % (2828647)------------------------------
% 13.07/3.52 % (2828661)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2258059785:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 13.07/3.52 % (2828663)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3820205356:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 13.07/3.52 % (2828661)Instruction limit reached!
% 13.07/3.52 % (2828661)------------------------------
% 13.07/3.52 % (2828661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.07/3.52 % (2828661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.07/3.52 % (2828661)CaDiCaL version: 2.1.3
% 13.07/3.52 % (2828661)Termination reason: Instruction limit
% 13.07/3.52 % (2828661)Termination phase: Saturation
% 13.07/3.52 % (2828661)Time elapsed: 0.159 s
% 13.07/3.52 % (2828661)Peak memory usage: 90 MB
% 13.07/3.52 % (2828661)Instructions burned: 157 (million)
% 13.07/3.52 % (2828664)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=2903015235:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 13.07/3.52 % (2828665)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3149272596:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 13.07/3.52 % (2828663)Instruction limit reached!
% 13.07/3.52 % (2828663)------------------------------
% 13.07/3.52 % (2828663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.07/3.52 % (2828663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.07/3.52 % (2828663)CaDiCaL version: 2.1.3
% 13.07/3.52 % (2828663)Termination reason: Instruction limit
% 13.07/3.52 % (2828663)Termination phase: Saturation
% 13.07/3.52 % (2828663)Time elapsed: 0.173 s
% 13.07/3.52 % (2828663)Peak memory usage: 91 MB
% 13.07/3.52 % (2828663)Instructions burned: 326 (million)
% 13.07/3.52 % (2828668)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2590441091:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 13.07/3.52 % (2828664)Instruction limit reached!
% 13.07/3.52 % (2828664)------------------------------
% 13.07/3.52 % (2828664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.07/3.52 % (2828664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.07/3.52 % (2828664)CaDiCaL version: 2.1.3
% 13.07/3.52 % (2828664)Termination reason: Instruction limit
% 13.07/3.52 % (2828664)Termination phase: Saturation
% 13.07/3.52 % (2828664)Time elapsed: 0.240 s
% 13.07/3.52 % (2828664)Peak memory usage: 91 MB
% 13.07/3.52 % (2828664)Instructions burned: 248 (million)
% 13.07/3.52 % (2828665)Instruction limit reached!
% 13.07/3.52 % (2828665)------------------------------
% 13.07/3.52 % (2828665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.07/3.52 % (2828665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.07/3.52 % (2828665)CaDiCaL version: 2.1.3
% 13.07/3.52 % (2828665)Termination reason: Instruction limit
% 13.07/3.52 % (2828665)Termination phase: Saturation
% 13.07/3.52 % (2828665)Time elapsed: 0.264 s
% 13.07/3.52 % (2828665)Peak memory usage: 89 MB
% 13.07/3.52 % (2828665)Instructions burned: 295 (million)
% 13.07/3.52 % (2828671)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1415851462:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 13.07/3.52 % (2828671)Instruction limit reached!
% 13.07/3.52 % (2828671)------------------------------
% 13.07/3.52 % (2828671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.07/3.52 % (2828671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.07/3.52 % (2828671)CaDiCaL version: 2.1.3
% 13.07/3.52 % (2828671)Termination reason: Instruction limit
% 13.07/3.52 % (2828671)Termination phase: Saturation
% 13.07/3.52 % (2828671)Time elapsed: 0.071 s
% 13.07/3.52 % (2828671)Peak memory usage: 90 MB
% 13.07/3.52 % (2828671)Instructions burned: 114 (million)
% 13.07/3.52 % (2828673)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3140325058:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 13.07/3.52 % (2828674)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1284970371:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 13.07/3.52 % (2828676)lrs+10_1_sil=8000:sp=occurrence:random_seed=1291054680:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 13.07/3.52 % (2828673)Instruction limit reached!
% 13.07/3.52 % (2828673)------------------------------
% 13.07/3.52 % (2828673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.07/3.52 % (2828673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.07/3.52 % (2828673)CaDiCaL version: 2.1.3
% 13.07/3.52 % (2828673)Termination reason: Instruction limit
% 13.07/3.52 % (2828673)Termination phase: Saturation
% 13.07/3.52 % (2828673)Time elapsed: 0.117 s
% 13.07/3.52 % (2828673)Peak memory usage: 89 MB
% 13.07/3.52 % (2828673)Instructions burned: 127 (million)
% 13.07/3.52 % (2828674)Instruction limit reached!
% 13.07/3.52 % (2828674)------------------------------
% 13.07/3.52 % (2828674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.07/3.52 % (2828674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.07/3.52 % (2828674)CaDiCaL version: 2.1.3
% 13.07/3.52 % (2828674)Termination reason: Instruction limit
% 13.07/3.52 % (2828674)Termination phase: Saturation
% 13.07/3.52 % (2828674)Time elapsed: 0.110 s
% 13.07/3.52 % (2828674)Peak memory usage: 89 MB
% 13.07/3.52 % (2828674)Instructions burned: 114 (million)
% 13.07/3.52 % (2828680)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1198765132:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 13.07/3.52 % (2828680)Refutation not found, incomplete strategy
% 13.07/3.52 % (2828680)------------------------------
% 13.07/3.52 % (2828680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.07/3.52 % (2828680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.07/3.52 % (2828680)CaDiCaL version: 2.1.3
% 13.07/3.52 % (2828680)Termination reason: Refutation not found, incomplete strategy
% 13.07/3.52 % (2828680)Time elapsed: 0.002 s
% 13.07/3.52 % (2828680)Peak memory usage: 88 MB
% 13.07/3.52 % (2828680)Instructions burned: 1 (million)
% 13.07/3.52 % (2828681)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2113783420:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 13.07/3.52 % (2828676)Instruction limit reached!
% 13.07/3.52 % (2828676)------------------------------
% 13.07/3.52 % (2828676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.07/3.52 % (2828676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.07/3.52 % (2828676)CaDiCaL version: 2.1.3
% 13.07/3.52 % (2828676)Termination reason: Instruction limit
% 13.07/3.52 % (2828676)Termination phase: Saturation
% 13.07/3.52 % (2828676)Time elapsed: 0.472 s
% 13.07/3.52 % (2828676)Peak memory usage: 95 MB
% 13.07/3.52 % (2828676)Instructions burned: 907 (million)
% 13.07/3.52 % (2828680)------------------------------
% 13.07/3.52 % (2828680)------------------------------
% 13.07/3.52 % (2828684)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1774998951:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 13.07/3.52 % (2828644)First to succeed.
% 13.07/3.52 % (2828644)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2828639"
% 13.07/3.52 % (2828684)Instruction limit reached!
% 13.07/3.52 % (2828684)------------------------------
% 13.07/3.52 % (2828684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.07/3.52 % (2828684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.07/3.52 % (2828684)CaDiCaL version: 2.1.3
% 13.07/3.52 % (2828684)Termination reason: Instruction limit
% 13.07/3.52 % (2828684)Termination phase: Saturation
% 13.07/3.52 % (2828684)Time elapsed: 0.129 s
% 13.07/3.52 % (2828684)Peak memory usage: 90 MB
% 13.07/3.52 % (2828684)Instructions burned: 134 (million)
% 13.07/3.52 % (2828685)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=593948616:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 13.07/3.52 % (2828685)Refutation not found, incomplete strategy
% 13.07/3.52 % (2828685)------------------------------
% 13.07/3.52 % (2828685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.07/3.52 % (2828685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.07/3.52 % (2828685)CaDiCaL version: 2.1.3
% 13.07/3.52 % (2828685)Termination reason: Refutation not found, incomplete strategy
% 13.07/3.52 % (2828685)Time elapsed: 0.001 s
% 13.07/3.52 % (2828685)Peak memory usage: 88 MB
% 13.07/3.52 % (2828685)Instructions burned: 1 (million)
% 13.07/3.52 % (2828645)Also succeeded, but the first one will report.
% 13.07/3.52 % (2828685)------------------------------
% 13.07/3.52 % (2828685)------------------------------
% 13.07/3.52 % (2828688)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2180409426:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 13.07/3.52 % (2828644)Refutation found. Thanks to Tanya!
% 13.07/3.52 % SZS status Theorem for theBenchmark
% 13.07/3.52 % SZS output start Proof for theBenchmark
% See solution above
% 19.22/3.79 % (2828644)------------------------------
% 19.22/3.79 % (2828644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.22/3.79 % (2828644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/3.79 % (2828644)CaDiCaL version: 2.1.3
% 19.22/3.79 % (2828644)Termination reason: Refutation
% 19.22/3.79 % (2828644)Time elapsed: 2.002 s
% 19.22/3.79 % (2828644)Peak memory usage: 139 MB
% 19.22/3.79 % (2828644)Instructions burned: 1866 (million)
% 19.22/3.79 % (2828644)------------------------------
% 19.22/3.79 % (2828644)------------------------------
% 19.22/3.79 % (2828639)Success in time 2.668 s
% 19.22/3.79 % Vampire exiting
%------------------------------------------------------------------------------