%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO543+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 09:52:53 AM UTC 2026
% Result : Theorem 8.10s 2.12s
% Output : Refutation 8.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 64 ( 10 unt; 2 def)
% Number of atoms : 187 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 182 ( 59 ~; 53 |; 57 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 258 ( 0 sgn 238 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD17) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD21) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( perp(X3,X0,X1,X2)
& coll(X3,X1,X2)
& perp(X4,X1,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X2,X0,X1)
& coll(X5,X0,X1)
& coll(X6,X1,X4)
& coll(X6,X2,X5)
& midp(X7,X2,X1)
& midp(X8,X4,X1)
& midp(X9,X5,X2) )
=> cyclic(X8,X9,X6,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012003) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( perp(X3,X0,X1,X2)
& coll(X3,X1,X2)
& perp(X4,X1,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X2,X0,X1)
& coll(X5,X0,X1)
& coll(X6,X1,X4)
& coll(X6,X2,X5)
& midp(X7,X2,X1)
& midp(X8,X4,X1)
& midp(X9,X5,X2) )
=> cyclic(X8,X9,X6,X3) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(flattening,[],[f153]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ cyclic(X8,X9,X6,X3)
& perp(X3,X0,X1,X2)
& coll(X3,X1,X2)
& perp(X4,X1,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X2,X0,X1)
& coll(X5,X0,X1)
& coll(X6,X1,X4)
& coll(X6,X2,X5)
& midp(X7,X2,X1)
& midp(X8,X4,X1)
& midp(X9,X5,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ cyclic(X8,X9,X6,X3)
& perp(X3,X0,X1,X2)
& coll(X3,X1,X2)
& perp(X4,X1,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X2,X0,X1)
& coll(X5,X0,X1)
& coll(X6,X1,X4)
& coll(X6,X2,X5)
& midp(X7,X2,X1)
& midp(X8,X4,X1)
& midp(X9,X5,X2) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ cyclic(sK28,sK29,sK26,sK23)
& perp(sK23,sK20,sK21,sK22)
& coll(sK23,sK21,sK22)
& perp(sK24,sK21,sK20,sK22)
& coll(sK24,sK20,sK22)
& perp(sK25,sK22,sK20,sK21)
& coll(sK25,sK20,sK21)
& coll(sK26,sK21,sK24)
& coll(sK26,sK22,sK25)
& midp(sK27,sK22,sK21)
& midp(sK28,sK24,sK21)
& midp(sK29,sK25,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29)],[f250]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f392,plain,
perp(sK24,sK21,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f395,plain,
~ cyclic(sK28,sK29,sK26,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f402,plain,
perp(sK20,sK22,sK24,sK21),
inference(resolution,[],[f392,f278]) ).
fof(f411,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5) ),
inference(resolution,[],[f289,f310]) ).
fof(f426,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f291,f310]) ).
fof(f428,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f426,f312]) ).
fof(f429,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f426,f313]) ).
fof(f434,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f428,f429]) ).
fof(f445,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X0,X1)
| ~ para(X2,X3,X2,X3) ),
inference(resolution,[],[f309,f411]) ).
fof(f447,definition,
( spl30_1
<=> ! [X2,X3] : ~ para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).
fof(f448,plain,
( ! [X2,X3] : ~ para(X2,X3,X2,X3)
| ~ spl30_1 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f450,definition,
( spl30_2
<=> ! [X0,X1] : para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl30_2])],[avatar_definition]) ).
fof(f451,plain,
( ! [X0,X1] : para(X0,X1,X0,X1)
| ~ spl30_2 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f452,plain,
( spl30_1
| spl30_2 ),
inference(avatar_split_clause,[],[f445,f450,f447]) ).
fof(f453,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl30_2 ),
inference(resolution,[],[f451,f434]) ).
fof(f455,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl30_2 ),
inference(resolution,[],[f453,f287]) ).
fof(f456,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f455,f453]) ).
fof(f457,plain,
( $false
| ~ spl30_2 ),
inference(resolution,[],[f456,f395]) ).
fof(f459,plain,
~ spl30_2,
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f471,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK24,sK21)
| para(X0,X1,sK20,sK22) ),
inference(resolution,[],[f279,f392]) ).
fof(f475,plain,
para(sK20,sK22,sK20,sK22),
inference(resolution,[],[f471,f402]) ).
fof(f476,plain,
( $false
| ~ spl30_1 ),
inference(forward_subsumption_resolution,[],[f475,f448]) ).
fof(f477,plain,
~ spl30_1,
inference(avatar_contradiction_clause,[],[f476]) ).
cnf(s1,plain,
( spl30_1
| spl30_2 ),
inference(sat_conversion,[],[f452]) ).
cnf(s2,plain,
~ spl30_2,
inference(sat_conversion,[],[f459]) ).
cnf(s3,plain,
~ spl30_1,
inference(sat_conversion,[],[f477]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f478,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO543+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n018.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 08:30:53 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 5.83/1.93 % (2028691)Detected formulas, will run a generic FOF schedule.
% 5.83/1.93 % (2028698)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=2642159759:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.83/1.93 % (2028696)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=4036462743:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.83/1.93 % (2028697)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=1652181777:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.83/1.93 % (2028700)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1920238413:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.83/1.93 % (2028702)dis-21_1_sil=8000:lcm=predicate:random_seed=2139710913: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)
% 5.83/1.93 % (2028701)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3931477444:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.83/1.93 % (2028699)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1924385137:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.83/1.93 % (2028699)Instruction limit reached!
% 5.83/1.93 % (2028699)------------------------------
% 5.83/1.93 % (2028699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.93 % (2028699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.93 % (2028699)CaDiCaL version: 2.1.3
% 5.83/1.93 % (2028699)Termination reason: Instruction limit
% 5.83/1.93 % (2028699)Termination phase: Saturation
% 5.83/1.93 % (2028699)Time elapsed: 0.060 s
% 5.83/1.93 % (2028699)Peak memory usage: 89 MB
% 5.83/1.93 % (2028699)Instructions burned: 111 (million)
% 5.83/1.93 % (2028700)Instruction limit reached!
% 5.83/1.93 % (2028700)------------------------------
% 5.83/1.93 % (2028700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.93 % (2028700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.93 % (2028700)CaDiCaL version: 2.1.3
% 5.83/1.93 % (2028700)Termination reason: Instruction limit
% 5.83/1.93 % (2028700)Termination phase: Saturation
% 5.83/1.93 % (2028700)Time elapsed: 0.070 s
% 5.83/1.93 % (2028700)Peak memory usage: 88 MB
% 5.83/1.93 % (2028700)Instructions burned: 120 (million)
% 5.83/1.93 % (2028702)Instruction limit reached!
% 5.83/1.93 % (2028702)------------------------------
% 5.83/1.93 % (2028702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.93 % (2028702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.93 % (2028702)CaDiCaL version: 2.1.3
% 5.83/1.93 % (2028702)Termination reason: Instruction limit
% 5.83/1.93 % (2028702)Termination phase: Saturation
% 5.83/1.93 % (2028702)Time elapsed: 0.077 s
% 5.83/1.93 % (2028702)Peak memory usage: 90 MB
% 5.83/1.93 % (2028702)Instructions burned: 129 (million)
% 5.83/1.93 % (2028701)Instruction limit reached!
% 5.83/1.93 % (2028701)------------------------------
% 5.83/1.93 % (2028701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.93 % (2028701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.93 % (2028701)CaDiCaL version: 2.1.3
% 5.83/1.93 % (2028701)Termination reason: Instruction limit
% 5.83/1.93 % (2028701)Termination phase: Saturation
% 5.83/1.93 % (2028701)Time elapsed: 0.088 s
% 5.83/1.93 % (2028701)Peak memory usage: 89 MB
% 5.83/1.93 % (2028701)Instructions burned: 140 (million)
% 5.83/1.93 % (2028710)lrs+10_1_sil=8000:sp=occurrence:random_seed=2273311284:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.83/1.93 % (2028711)lrs+10_1_sil=32000:urr=on:br=off:random_seed=746692876:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.83/1.93 % (2028712)lrs+1011_1_sil=32000:sp=occurrence:random_seed=302969098:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.83/1.93 % (2028713)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=2826782201:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.83/1.93 % (2028711)Instruction limit reached!
% 5.83/1.93 % (2028711)------------------------------
% 5.83/1.93 % (2028711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.93 % (2028711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.93 % (2028711)CaDiCaL version: 2.1.3
% 5.83/1.93 % (2028711)Termination reason: Instruction limit
% 5.83/1.93 % (2028711)Termination phase: Saturation
% 5.83/1.93 % (2028711)Time elapsed: 0.080 s
% 5.83/1.93 % (2028711)Peak memory usage: 91 MB
% 5.83/1.93 % (2028711)Instructions burned: 159 (million)
% 5.83/1.93 % (2028713)Instruction limit reached!
% 5.83/1.93 % (2028713)------------------------------
% 5.83/1.93 % (2028713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.93 % (2028713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.93 % (2028713)CaDiCaL version: 2.1.3
% 5.83/1.93 % (2028713)Termination reason: Instruction limit
% 5.83/1.93 % (2028713)Termination phase: Saturation
% 5.83/1.93 % (2028713)Time elapsed: 0.128 s
% 5.83/1.93 % (2028713)Peak memory usage: 92 MB
% 5.83/1.93 % (2028713)Instructions burned: 249 (million)
% 5.83/1.93 % (2028710)Instruction limit reached!
% 5.83/1.93 % (2028710)------------------------------
% 5.83/1.93 % (2028710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.93 % (2028710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.93 % (2028710)CaDiCaL version: 2.1.3
% 5.83/1.93 % (2028710)Termination reason: Instruction limit
% 5.83/1.93 % (2028710)Termination phase: Saturation
% 5.83/1.93 % (2028710)Time elapsed: 0.182 s
% 5.83/1.93 % (2028710)Peak memory usage: 92 MB
% 5.83/1.93 % (2028710)Instructions burned: 286 (million)
% 5.83/1.93 % (2028712)Instruction limit reached!
% 5.83/1.93 % (2028712)------------------------------
% 5.83/1.93 % (2028712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.93 % (2028712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.93 % (2028712)CaDiCaL version: 2.1.3
% 5.83/1.93 % (2028712)Termination reason: Instruction limit
% 5.83/1.93 % (2028712)Termination phase: Saturation
% 5.83/1.93 % (2028712)Time elapsed: 0.199 s
% 5.83/1.93 % (2028712)Peak memory usage: 91 MB
% 5.83/1.93 % (2028712)Instructions burned: 327 (million)
% 5.83/1.93 % (2028718)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3776894307:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.83/1.93 % (2028719)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3741897887:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.83/1.93 % (2028720)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1844689983:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.83/1.93 % (2028721)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1758061158:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.83/1.93 % (2028720)Instruction limit reached!
% 5.83/1.93 % (2028720)------------------------------
% 5.83/1.93 % (2028720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.93 % (2028720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.93 % (2028720)CaDiCaL version: 2.1.3
% 5.83/1.93 % (2028720)Termination reason: Instruction limit
% 5.83/1.93 % (2028720)Termination phase: Saturation
% 5.83/1.93 % (2028720)Time elapsed: 0.065 s
% 5.83/1.93 % (2028720)Peak memory usage: 89 MB
% 5.83/1.93 % (2028720)Instructions burned: 114 (million)
% 5.83/1.93 % (2028696)First to succeed.
% 5.83/1.93 % (2028696)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2028691"
% 5.83/1.93 % (2028718)Instruction limit reached!
% 5.83/1.93 % (2028718)------------------------------
% 5.83/1.93 % (2028718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.93 % (2028718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.83/1.93 % (2028718)CaDiCaL version: 2.1.3
% 5.83/1.93 % (2028718)Termination reason: Instruction limit
% 5.83/1.93 % (2028718)Termination phase: Saturation
% 5.83/1.93 % (2028718)Time elapsed: 0.164 s
% 5.83/1.93 % (2028718)Peak memory usage: 89 MB
% 5.83/1.93 % (2028718)Instructions burned: 295 (million)
% 5.83/1.93 % (2028697)Also succeeded, but the first one will report.
% 5.83/1.93 % (2028721)Instruction limit reached!
% 5.83/1.93 % (2028721)------------------------------
% 5.83/1.93 % (2028721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.83/1.93 % (2028721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/2.12 % (2028721)CaDiCaL version: 2.1.3
% 8.10/2.12 % (2028721)Termination reason: Instruction limit
% 8.10/2.12 % (2028721)Termination phase: Saturation
% 8.10/2.12 % (2028721)Time elapsed: 0.069 s
% 8.10/2.12 % (2028721)Peak memory usage: 89 MB
% 8.10/2.12 % (2028721)Instructions burned: 128 (million)
% 8.10/2.12 % (2028726)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=179414162:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.10/2.12 % (2028727)lrs+10_1_sil=8000:sp=occurrence:random_seed=1857922702:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.10/2.12 % (2028726)Instruction limit reached!
% 8.10/2.12 % (2028726)------------------------------
% 8.10/2.12 % (2028726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/2.12 % (2028726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/2.12 % (2028726)CaDiCaL version: 2.1.3
% 8.10/2.12 % (2028726)Termination reason: Instruction limit
% 8.10/2.12 % (2028726)Termination phase: Saturation
% 8.10/2.12 % (2028726)Time elapsed: 0.062 s
% 8.10/2.12 % (2028726)Peak memory usage: 89 MB
% 8.10/2.12 % (2028726)Instructions burned: 115 (million)
% 8.10/2.12 % (2028728)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1774723516:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.10/2.12 % (2028696)Refutation found. Thanks to Tanya!
% 8.10/2.12 % SZS status Theorem for theBenchmark
% 8.10/2.12 % SZS output start Proof for theBenchmark
% See solution above
% 8.10/2.12 % (2028696)------------------------------
% 8.10/2.12 % (2028696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.10/2.12 % (2028696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.10/2.12 % (2028696)CaDiCaL version: 2.1.3
% 8.10/2.12 % (2028696)Termination reason: Refutation
% 8.10/2.12 % (2028696)Time elapsed: 0.649 s
% 8.10/2.12 % (2028696)Peak memory usage: 131 MB
% 8.10/2.12 % (2028696)Instructions burned: 974 (million)
% 8.10/2.12 % (2028696)------------------------------
% 8.10/2.12 % (2028696)------------------------------
% 8.10/2.12 % (2028691)Success in time 1.079 s
% 8.10/2.12 % Vampire exiting
%------------------------------------------------------------------------------