%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL457+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 11:52:30 AM UTC 2026
% Result : Theorem 8.12s 2.11s
% Output : Refutation 8.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 70 ( 25 unt; 2 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 105 ( 46 ~; 41 |; 2 &)
% ( 8 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 9 usr; 9 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 86 ( 0 sgn 83 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( modus_ponens
<=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modus_ponens) ).
fof(f6,axiom,
( implies_3
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_3) ).
fof(f10,axiom,
( or_1
<=> ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_1) ).
fof(f11,axiom,
( or_2
<=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_2) ).
fof(f12,axiom,
( or_3
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_3) ).
fof(f25,axiom,
( r4
<=> ! [X0,X1,X2] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r4) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_modus_ponens) ).
fof(f39,axiom,
implies_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_implies_3) ).
fof(f43,axiom,
or_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_or_1) ).
fof(f44,axiom,
or_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_or_2) ).
fof(f45,axiom,
or_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_or_3) ).
fof(f53,conjecture,
r4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_r4) ).
fof(f54,negated_conjecture,
~ r4,
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f55,plain,
~ r4,
inference(flattening,[],[f54]) ).
fof(f56,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))))
=> r4 ),
inference(unused_predicate_definition_removal,[],[f25]) ).
fof(f60,plain,
( or_3
=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f61,plain,
( or_2
=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f62,plain,
( or_1
=> ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f10]) ).
fof(f66,plain,
( implies_3
=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f71,plain,
( modus_ponens
=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f72,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(ennf_transformation,[],[f71]) ).
fof(f73,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(flattening,[],[f72]) ).
fof(f78,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ implies_3 ),
inference(ennf_transformation,[],[f66]) ).
fof(f82,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1)))
| ~ or_1 ),
inference(ennf_transformation,[],[f62]) ).
fof(f83,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
| ~ or_2 ),
inference(ennf_transformation,[],[f61]) ).
fof(f84,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2))))
| ~ or_3 ),
inference(ennf_transformation,[],[f60]) ).
fof(f88,plain,
( r4
| ? [X0,X1,X2] : ~ is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) ),
inference(ennf_transformation,[],[f56]) ).
fof(f94,plain,
( r4
| ~ is_a_theorem(implies(or(sK0,or(sK1,sK2)),or(sK1,or(sK0,sK2)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f88]) ).
fof(f95,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| ~ modus_ponens ),
inference(cnf_transformation,[],[f73]) ).
fof(f100,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ implies_3 ),
inference(cnf_transformation,[],[f78]) ).
fof(f104,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X0,X1)))
| ~ or_1 ),
inference(cnf_transformation,[],[f82]) ).
fof(f105,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,or(X0,X1)))
| ~ or_2 ),
inference(cnf_transformation,[],[f83]) ).
fof(f106,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2))))
| ~ or_3 ),
inference(cnf_transformation,[],[f84]) ).
fof(f110,plain,
( r4
| ~ is_a_theorem(implies(or(sK0,or(sK1,sK2)),or(sK1,or(sK0,sK2)))) ),
inference(cnf_transformation,[],[f94]) ).
fof(f119,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f123,plain,
implies_3,
inference(cnf_transformation,[],[f39]) ).
fof(f127,plain,
or_1,
inference(cnf_transformation,[],[f43]) ).
fof(f128,plain,
or_2,
inference(cnf_transformation,[],[f44]) ).
fof(f129,plain,
or_3,
inference(cnf_transformation,[],[f45]) ).
fof(f137,plain,
~ r4,
inference(cnf_transformation,[],[f55]) ).
fof(f143,plain,
~ is_a_theorem(implies(or(sK0,or(sK1,sK2)),or(sK1,or(sK0,sK2)))),
inference(forward_subsumption_resolution,[],[f110,f137]) ).
fof(f147,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))),
inference(forward_subsumption_resolution,[],[f106,f129]) ).
fof(f148,plain,
! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))),
inference(forward_subsumption_resolution,[],[f105,f128]) ).
fof(f149,plain,
! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))),
inference(forward_subsumption_resolution,[],[f104,f127]) ).
fof(f153,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(forward_subsumption_resolution,[],[f100,f123]) ).
fof(f158,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(forward_subsumption_resolution,[],[f95,f119]) ).
fof(f168,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X2,X1),implies(or(X0,X2),X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f158,f147]) ).
fof(f169,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(or(X0,X2),X1))
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f168,f158]) ).
fof(f172,plain,
( ~ is_a_theorem(implies(or(sK1,sK2),or(sK1,or(sK0,sK2))))
| ~ is_a_theorem(implies(sK0,or(sK1,or(sK0,sK2)))) ),
inference(resolution,[],[f169,f143]) ).
fof(f177,definition,
( spl3_1
<=> is_a_theorem(implies(sK0,or(sK1,or(sK0,sK2)))) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f179,plain,
( ~ is_a_theorem(implies(sK0,or(sK1,or(sK0,sK2))))
| spl3_1 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f181,definition,
( spl3_2
<=> is_a_theorem(implies(or(sK1,sK2),or(sK1,or(sK0,sK2)))) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f183,plain,
( ~ is_a_theorem(implies(or(sK1,sK2),or(sK1,or(sK0,sK2))))
| spl3_2 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f184,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f172,f181,f177]) ).
fof(f233,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f153,f158]) ).
fof(f246,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[],[f233,f158]) ).
fof(f262,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,or(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f246,f148]) ).
fof(f290,plain,
( ~ is_a_theorem(implies(sK0,or(sK0,sK2)))
| spl3_1 ),
inference(resolution,[],[f262,f179]) ).
fof(f294,plain,
( $false
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f290,f149]) ).
fof(f295,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f309,plain,
( ~ is_a_theorem(implies(sK2,or(sK1,or(sK0,sK2))))
| ~ is_a_theorem(implies(sK1,or(sK1,or(sK0,sK2))))
| spl3_2 ),
inference(resolution,[],[f183,f169]) ).
fof(f310,plain,
( ~ is_a_theorem(implies(sK2,or(sK1,or(sK0,sK2))))
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f309,f149]) ).
fof(f311,plain,
( ~ is_a_theorem(implies(sK2,or(sK0,sK2)))
| spl3_2 ),
inference(resolution,[],[f310,f262]) ).
fof(f313,plain,
( $false
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f311,f148]) ).
fof(f314,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f313]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f184]) ).
cnf(s2,plain,
spl3_1,
inference(sat_conversion,[],[f295]) ).
cnf(s4,plain,
spl3_2,
inference(sat_conversion,[],[f314]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s2]) ).
fof(f315,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL457+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 15:45:45 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 6.59/1.92 % (2202145)Detected formulas, will run a generic FOF schedule.
% 6.59/1.92 % (2202156)dis-21_1_sil=8000:lcm=predicate:random_seed=1745938105: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)
% 6.59/1.92 % (2202156)Refutation not found, incomplete strategy
% 6.59/1.92 % (2202156)------------------------------
% 6.59/1.92 % (2202156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/1.92 % (2202156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.92 % (2202156)CaDiCaL version: 2.1.3
% 6.59/1.92 % (2202156)Termination reason: Refutation not found, incomplete strategy
% 6.59/1.92 % (2202156)Time elapsed: 0.001 s
% 6.59/1.92 % (2202156)Peak memory usage: 88 MB
% 6.59/1.92 % (2202156)Instructions burned: 2 (million)
% 6.59/1.92 % (2202153)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2808094733:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.59/1.92 % (2202151)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=3345230805:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.59/1.92 % (2202154)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1434209883:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.59/1.92 % (2202150)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=1494764640:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.59/1.92 % (2202152)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=1860731237:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.59/1.92 % (2202155)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=565750176:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.59/1.92 % (2202154)Refutation not found, incomplete strategy
% 6.59/1.92 % (2202154)------------------------------
% 6.59/1.92 % (2202154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/1.92 % (2202154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.92 % (2202154)CaDiCaL version: 2.1.3
% 6.59/1.92 % (2202153)Refutation not found, incomplete strategy
% 6.59/1.92 % (2202153)------------------------------
% 6.59/1.92 % (2202153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/1.92 % (2202154)Termination reason: Refutation not found, incomplete strategy
% 6.59/1.92 % (2202154)Time elapsed: 0.001 s
% 6.59/1.92 % (2202154)Peak memory usage: 86 MB
% 6.59/1.92 % (2202153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.92 % (2202153)CaDiCaL version: 2.1.3
% 6.59/1.92 % (2202153)Termination reason: Refutation not found, incomplete strategy
% 6.59/1.92 % (2202153)Time elapsed: 0.001 s
% 6.59/1.92 % (2202153)Peak memory usage: 87 MB
% 6.59/1.92 % (2202155)Instruction limit reached!
% 6.59/1.92 % (2202155)------------------------------
% 6.59/1.92 % (2202155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/1.92 % (2202155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.92 % (2202155)CaDiCaL version: 2.1.3
% 6.59/1.92 % (2202155)Termination reason: Instruction limit
% 6.59/1.92 % (2202155)Termination phase: Saturation
% 6.59/1.92 % (2202155)Time elapsed: 0.093 s
% 6.59/1.92 % (2202155)Peak memory usage: 91 MB
% 6.59/1.92 % (2202155)Instructions burned: 140 (million)
% 6.59/1.92 % (2202156)------------------------------
% 6.59/1.92 % (2202156)------------------------------
% 6.59/1.92 % (2202165)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2967313972:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.59/1.92 % (2202165)Refutation not found, incomplete strategy
% 6.59/1.92 % (2202165)------------------------------
% 6.59/1.92 % (2202165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/1.92 % (2202165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.92 % (2202165)CaDiCaL version: 2.1.3
% 6.59/1.92 % (2202165)Termination reason: Refutation not found, incomplete strategy
% 6.59/1.92 % (2202165)Time elapsed: 0.0000 s
% 6.59/1.92 % (2202165)Peak memory usage: 87 MB
% 6.59/1.92 % (2202164)lrs+10_1_sil=8000:sp=occurrence:random_seed=1390557833:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.59/1.92 % (2202164)Refutation not found, incomplete strategy
% 6.59/1.92 % (2202164)------------------------------
% 6.59/1.92 % (2202164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/1.92 % (2202164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.92 % (2202164)CaDiCaL version: 2.1.3
% 6.59/1.92 % (2202164)Termination reason: Refutation not found, incomplete strategy
% 6.59/1.92 % (2202164)Time elapsed: 0.001 s
% 6.59/1.92 % (2202164)Peak memory usage: 87 MB
% 6.59/1.92 % (2202154)------------------------------
% 6.59/1.92 % (2202154)------------------------------
% 6.59/1.92 % (2202153)------------------------------
% 6.59/1.92 % (2202153)------------------------------
% 6.59/1.92 % (2202165)------------------------------
% 6.59/1.92 % (2202165)------------------------------
% 6.59/1.92 % (2202168)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3862327193:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 6.59/1.92 % (2202169)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=519587602:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.59/1.92 % (2202168)Refutation not found, incomplete strategy
% 6.59/1.92 % (2202168)------------------------------
% 6.59/1.92 % (2202168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/1.92 % (2202168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.92 % (2202168)CaDiCaL version: 2.1.3
% 6.59/1.92 % (2202168)Termination reason: Refutation not found, incomplete strategy
% 6.59/1.92 % (2202168)Time elapsed: 0.001 s
% 6.59/1.92 % (2202168)Peak memory usage: 87 MB
% 6.59/1.92 % (2202170)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3233013003:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.59/1.92 % (2202170)Refutation not found, incomplete strategy
% 6.59/1.92 % (2202170)------------------------------
% 6.59/1.92 % (2202170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/1.92 % (2202170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.92 % (2202170)CaDiCaL version: 2.1.3
% 6.59/1.92 % (2202170)Termination reason: Refutation not found, incomplete strategy
% 6.59/1.92 % (2202170)Time elapsed: 0.0000 s
% 6.59/1.92 % (2202170)Peak memory usage: 87 MB
% 6.59/1.92 % (2202164)------------------------------
% 6.59/1.92 % (2202164)------------------------------
% 6.59/1.92 % (2202169)Instruction limit reached!
% 6.59/1.92 % (2202169)------------------------------
% 6.59/1.92 % (2202169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/1.92 % (2202169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.92 % (2202169)CaDiCaL version: 2.1.3
% 6.59/1.92 % (2202169)Termination reason: Instruction limit
% 6.59/1.92 % (2202169)Termination phase: Saturation
% 6.59/1.92 % (2202169)Time elapsed: 0.154 s
% 6.59/1.92 % (2202169)Peak memory usage: 93 MB
% 6.59/1.92 % (2202169)Instructions burned: 249 (million)
% 6.59/1.92 % (2202152)Refutation not found, incomplete strategy
% 6.59/1.92 % (2202152)------------------------------
% 6.59/1.92 % (2202152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/1.92 % (2202152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.92 % (2202152)CaDiCaL version: 2.1.3
% 6.59/1.92 % (2202152)Termination reason: Refutation not found, incomplete strategy
% 6.59/1.92 % (2202152)Time elapsed: 0.564 s
% 6.59/1.92 % (2202152)Peak memory usage: 126 MB
% 6.59/1.92 % (2202152)Instructions burned: 829 (million)
% 6.59/1.92 % (2202170)------------------------------
% 6.59/1.92 % (2202170)------------------------------
% 6.59/1.92 % (2202174)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=314260020:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.59/1.92 % (2202168)------------------------------
% 6.59/1.92 % (2202168)------------------------------
% 6.59/1.92 % (2202150)First to succeed.
% 6.59/1.92 % (2202150)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2202145"
% 6.59/1.92 % (2202175)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2815376077:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.59/1.92 % (2202176)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3654303768:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 8.12/2.11 % (2202175)Refutation not found, incomplete strategy
% 8.12/2.11 % (2202175)------------------------------
% 8.12/2.11 % (2202175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.11 % (2202175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.11 % (2202175)CaDiCaL version: 2.1.3
% 8.12/2.11 % (2202175)Termination reason: Refutation not found, incomplete strategy
% 8.12/2.11 % (2202175)Time elapsed: 0.001 s
% 8.12/2.11 % (2202175)Peak memory usage: 88 MB
% 8.12/2.11 % (2202176)Instruction limit reached!
% 8.12/2.11 % (2202176)------------------------------
% 8.12/2.11 % (2202176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.11 % (2202176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.11 % (2202176)CaDiCaL version: 2.1.3
% 8.12/2.11 % (2202176)Termination reason: Instruction limit
% 8.12/2.11 % (2202176)Termination phase: Saturation
% 8.12/2.11 % (2202176)Time elapsed: 0.037 s
% 8.12/2.11 % (2202176)Peak memory usage: 89 MB
% 8.12/2.11 % (2202176)Instructions burned: 127 (million)
% 8.12/2.11 % (2202178)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1269108109:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.12/2.11 % (2202178)Refutation not found, incomplete strategy
% 8.12/2.11 % (2202178)------------------------------
% 8.12/2.11 % (2202178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.11 % (2202178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.11 % (2202178)CaDiCaL version: 2.1.3
% 8.12/2.11 % (2202178)Termination reason: Refutation not found, incomplete strategy
% 8.12/2.11 % (2202178)Time elapsed: 0.001 s
% 8.12/2.11 % (2202178)Peak memory usage: 87 MB
% 8.12/2.11 % (2202181)lrs+10_1_sil=8000:sp=occurrence:random_seed=957207119:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.12/2.11 % (2202152)------------------------------
% 8.12/2.11 % (2202152)------------------------------
% 8.12/2.11 % (2202150)Refutation found. Thanks to Tanya!
% 8.12/2.11 % SZS status Theorem for theBenchmark
% 8.12/2.11 % SZS output start Proof for theBenchmark
% See solution above
% 8.12/2.11 % (2202150)------------------------------
% 8.12/2.11 % (2202150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.11 % (2202150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.11 % (2202150)CaDiCaL version: 2.1.3
% 8.12/2.11 % (2202150)Termination reason: Refutation
% 8.12/2.11 % (2202150)Time elapsed: 0.649 s
% 8.12/2.11 % (2202150)Peak memory usage: 129 MB
% 8.12/2.11 % (2202150)Instructions burned: 956 (million)
% 8.12/2.11 % (2202150)------------------------------
% 8.12/2.11 % (2202150)------------------------------
% 8.12/2.11 % (2202145)Success in time 1.07 s
% 8.12/2.11 % Vampire exiting
%------------------------------------------------------------------------------