%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO637+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 09:53:07 AM UTC 2026
% Result : Theorem 6.47s 1.93s
% Output : Refutation 8.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 72 ( 11 unt; 2 def)
% Number of atoms : 176 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 165 ( 61 ~; 58 |; 32 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 216 ( 0 sgn 202 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD9) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD16) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD19) ).
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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& coll(X5,X3,X4)
& coll(X5,X0,X1)
& perp(X2,X3,X2,X6)
& perp(X0,X3,X0,X6) )
=> cyclic(X0,X3,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109101) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& coll(X5,X3,X4)
& coll(X5,X0,X1)
& perp(X2,X3,X2,X6)
& perp(X0,X3,X0,X6) )
=> cyclic(X0,X3,X6,X5) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ cyclic(X0,X3,X6,X5)
& circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& coll(X5,X3,X4)
& coll(X5,X0,X1)
& perp(X2,X3,X2,X6)
& perp(X0,X3,X0,X6) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ cyclic(X0,X3,X6,X5)
& circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& coll(X5,X3,X4)
& coll(X5,X0,X1)
& perp(X2,X3,X2,X6)
& perp(X0,X3,X0,X6) ),
inference(flattening,[],[f98]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f166,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(f167,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,[],[f166]) ).
fof(f168,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(f169,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,[],[f168]) ).
fof(f171,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(f172,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f171]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f182,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(f195,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(f199,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(f200,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f199]) ).
fof(f220,plain,
( ~ cyclic(sK0,sK3,sK6,sK5)
& circle(sK3,sK0,sK1,sK2)
& midp(sK4,sK2,sK1)
& coll(sK5,sK3,sK4)
& coll(sK5,sK0,sK1)
& perp(sK2,sK3,sK2,sK6)
& perp(sK0,sK3,sK0,sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f99]) ).
fof(f239,plain,
perp(sK0,sK3,sK0,sK6),
inference(cnf_transformation,[],[f220]) ).
fof(f245,plain,
~ cyclic(sK0,sK3,sK6,sK5),
inference(cnf_transformation,[],[f220]) ).
fof(f260,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f294,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,[],[f169]) ).
fof(f296,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f172]) ).
fof(f297,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f298,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f174]) ).
fof(f299,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f304,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,[],[f182]) ).
fof(f315,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f195]) ).
fof(f318,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,[],[f200]) ).
fof(f334,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK0,sK3)
| para(X0,X1,sK0,sK6) ),
inference(resolution,[],[f318,f239]) ).
fof(f336,plain,
perp(sK0,sK6,sK0,sK3),
inference(resolution,[],[f260,f239]) ).
fof(f340,plain,
para(sK0,sK6,sK0,sK6),
inference(resolution,[],[f336,f334]) ).
fof(f344,plain,
! [X0,X1] : eqangle(sK0,sK6,X0,X1,sK0,sK6,X0,X1),
inference(resolution,[],[f340,f315]) ).
fof(f356,plain,
! [X0] :
( cyclic(sK6,X0,sK0,sK0)
| coll(sK0,sK0,sK6) ),
inference(resolution,[],[f344,f294]) ).
fof(f359,definition,
( spl25_1
<=> coll(sK0,sK0,sK6) ),
introduced(definition,[new_symbols(definition,[spl25_1])],[avatar_definition]) ).
fof(f360,plain,
( coll(sK0,sK0,sK6)
| ~ spl25_1 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f362,definition,
( spl25_2
<=> ! [X0] : cyclic(sK6,X0,sK0,sK0) ),
introduced(definition,[new_symbols(definition,[spl25_2])],[avatar_definition]) ).
fof(f363,plain,
( ! [X0] : cyclic(sK6,X0,sK0,sK0)
| ~ spl25_2 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f364,plain,
( spl25_1
| spl25_2 ),
inference(avatar_split_clause,[],[f356,f362,f359]) ).
fof(f371,plain,
! [X0,X1] : eqangle(X0,X1,sK0,sK6,X0,X1,sK0,sK6),
inference(resolution,[],[f304,f344]) ).
fof(f373,plain,
( ! [X0] : cyclic(X0,sK6,sK0,sK0)
| ~ spl25_2 ),
inference(resolution,[],[f297,f363]) ).
fof(f380,plain,
( ! [X0] : cyclic(X0,sK0,sK6,sK0)
| ~ spl25_2 ),
inference(resolution,[],[f298,f373]) ).
fof(f388,plain,
( ! [X0] : cyclic(X0,sK0,sK0,sK6)
| ~ spl25_2 ),
inference(resolution,[],[f380,f299]) ).
fof(f395,plain,
( ! [X0] : cyclic(sK0,X0,sK0,sK6)
| ~ spl25_2 ),
inference(resolution,[],[f388,f297]) ).
fof(f400,plain,
( ! [X0] : cyclic(sK0,sK0,X0,sK6)
| ~ spl25_2 ),
inference(resolution,[],[f395,f298]) ).
fof(f404,plain,
( ! [X0] : cyclic(sK0,sK0,sK6,X0)
| ~ spl25_2 ),
inference(resolution,[],[f400,f299]) ).
fof(f412,plain,
( ! [X0,X1] :
( ~ cyclic(sK0,sK0,sK6,X0)
| cyclic(sK0,sK6,X0,X1) )
| ~ spl25_2 ),
inference(resolution,[],[f404,f296]) ).
fof(f413,plain,
( ! [X0,X1] : cyclic(sK0,sK6,X0,X1)
| ~ spl25_2 ),
inference(forward_subsumption_resolution,[],[f412,f404]) ).
fof(f414,plain,
( $false
| ~ spl25_2 ),
inference(unit_resulting_resolution,[],[f298,f245,f413]) ).
fof(f420,plain,
~ spl25_2,
inference(avatar_contradiction_clause,[],[f414]) ).
fof(f422,plain,
( ! [X0] :
( ~ eqangle(sK0,X0,sK0,sK6,sK0,X0,sK0,sK6)
| cyclic(X0,sK6,sK0,sK0) )
| ~ spl25_1 ),
inference(resolution,[],[f360,f293]) ).
fof(f423,plain,
( ! [X0] : cyclic(X0,sK6,sK0,sK0)
| ~ spl25_1 ),
inference(forward_subsumption_resolution,[],[f422,f371]) ).
fof(f427,plain,
( ! [X0] : cyclic(sK6,X0,sK0,sK0)
| ~ spl25_1 ),
inference(resolution,[],[f423,f297]) ).
fof(f429,plain,
( spl25_2
| ~ spl25_1 ),
inference(avatar_split_clause,[],[f427,f359,f362]) ).
cnf(s1,plain,
( spl25_1
| spl25_2 ),
inference(sat_conversion,[],[f364]) ).
cnf(s2,plain,
~ spl25_2,
inference(sat_conversion,[],[f420]) ).
cnf(s3,plain,
( ~ spl25_1
| spl25_2 ),
inference(sat_conversion,[],[f429]) ).
cnf(s4,plain,
~ spl25_1,
inference(rat,[],[s3,s2]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s2,s4]) ).
fof(f430,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO637+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n006.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 08:41:56 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 6.47/1.93 % (2692098)Detected formulas, will run a generic FOF schedule.
% 6.47/1.93 % (2692105)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=3505445442:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.47/1.93 % (2692104)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=2775806367:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.47/1.93 % (2692109)dis-21_1_sil=8000:lcm=predicate:random_seed=819345776: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)
% 6.47/1.93 % (2692103)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=76304843:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.47/1.93 % (2692107)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2080931727:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.47/1.93 % (2692106)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2464937556:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.47/1.93 % (2692108)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=821220384:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.47/1.93 % (2692106)Refutation not found, incomplete strategy
% 6.47/1.93 % (2692106)------------------------------
% 6.47/1.93 % (2692106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.93 % (2692106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.93 % (2692106)CaDiCaL version: 2.1.3
% 6.47/1.93 % (2692106)Termination reason: Refutation not found, incomplete strategy
% 6.47/1.93 % (2692106)Time elapsed: 0.021 s
% 6.47/1.93 % (2692106)Peak memory usage: 88 MB
% 6.47/1.93 % (2692106)Instructions burned: 36 (million)
% 6.47/1.93 % (2692107)Instruction limit reached!
% 6.47/1.93 % (2692107)------------------------------
% 6.47/1.93 % (2692107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.93 % (2692107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.93 % (2692107)CaDiCaL version: 2.1.3
% 6.47/1.93 % (2692107)Termination reason: Instruction limit
% 6.47/1.93 % (2692107)Termination phase: Saturation
% 6.47/1.93 % (2692107)Time elapsed: 0.067 s
% 6.47/1.93 % (2692107)Peak memory usage: 88 MB
% 6.47/1.93 % (2692107)Instructions burned: 120 (million)
% 6.47/1.93 % (2692109)Instruction limit reached!
% 6.47/1.93 % (2692109)------------------------------
% 6.47/1.93 % (2692109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.93 % (2692109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.93 % (2692109)CaDiCaL version: 2.1.3
% 6.47/1.93 % (2692109)Termination reason: Instruction limit
% 6.47/1.93 % (2692109)Termination phase: Saturation
% 6.47/1.93 % (2692109)Time elapsed: 0.081 s
% 6.47/1.93 % (2692109)Peak memory usage: 89 MB
% 6.47/1.93 % (2692109)Instructions burned: 132 (million)
% 6.47/1.93 % (2692108)Instruction limit reached!
% 6.47/1.93 % (2692108)------------------------------
% 6.47/1.93 % (2692108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.93 % (2692108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.93 % (2692108)CaDiCaL version: 2.1.3
% 6.47/1.93 % (2692108)Termination reason: Instruction limit
% 6.47/1.93 % (2692108)Termination phase: Saturation
% 6.47/1.93 % (2692108)Time elapsed: 0.090 s
% 6.47/1.93 % (2692108)Peak memory usage: 90 MB
% 6.47/1.93 % (2692108)Instructions burned: 139 (million)
% 6.47/1.93 % (2692117)lrs+10_1_sil=8000:sp=occurrence:random_seed=319217372:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.47/1.93 % (2692118)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1651645631:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.47/1.93 % (2692119)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2649723258:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.47/1.93 % (2692106)------------------------------
% 6.47/1.93 % (2692106)------------------------------
% 6.47/1.93 % (2692118)Instruction limit reached!
% 6.47/1.93 % (2692118)------------------------------
% 6.47/1.93 % (2692118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.93 % (2692118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.93 % (2692118)CaDiCaL version: 2.1.3
% 6.47/1.93 % (2692118)Termination reason: Instruction limit
% 6.47/1.93 % (2692118)Termination phase: Saturation
% 6.47/1.93 % (2692118)Time elapsed: 0.085 s
% 6.47/1.93 % (2692118)Peak memory usage: 90 MB
% 6.47/1.93 % (2692118)Instructions burned: 158 (million)
% 6.47/1.93 % (2692123)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=1755470399:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.47/1.93 % (2692117)Instruction limit reached!
% 6.47/1.93 % (2692117)------------------------------
% 6.47/1.93 % (2692117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.93 % (2692117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.93 % (2692117)CaDiCaL version: 2.1.3
% 6.47/1.93 % (2692117)Termination reason: Instruction limit
% 6.47/1.93 % (2692117)Termination phase: Saturation
% 6.47/1.93 % (2692117)Time elapsed: 0.187 s
% 6.47/1.93 % (2692117)Peak memory usage: 92 MB
% 6.47/1.93 % (2692117)Instructions burned: 285 (million)
% 6.47/1.93 % (2692124)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=137775128:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.47/1.93 % (2692123)Instruction limit reached!
% 6.47/1.93 % (2692123)------------------------------
% 6.47/1.93 % (2692123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.93 % (2692123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.93 % (2692123)CaDiCaL version: 2.1.3
% 6.47/1.93 % (2692123)Termination reason: Instruction limit
% 6.47/1.93 % (2692123)Termination phase: Saturation
% 6.47/1.93 % (2692123)Time elapsed: 0.076 s
% 6.47/1.93 % (2692123)Peak memory usage: 91 MB
% 6.47/1.93 % (2692123)Instructions burned: 251 (million)
% 6.47/1.93 % (2692119)Instruction limit reached!
% 6.47/1.93 % (2692119)------------------------------
% 6.47/1.93 % (2692119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.93 % (2692119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.93 % (2692119)CaDiCaL version: 2.1.3
% 6.47/1.93 % (2692119)Termination reason: Instruction limit
% 6.47/1.93 % (2692119)Termination phase: Saturation
% 6.47/1.93 % (2692119)Time elapsed: 0.205 s
% 6.47/1.93 % (2692119)Peak memory usage: 91 MB
% 6.47/1.93 % (2692119)Instructions burned: 326 (million)
% 6.47/1.93 % (2692126)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=465958748:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.47/1.93 % (2692128)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1789745279:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.47/1.93 % (2692128)Instruction limit reached!
% 6.47/1.93 % (2692128)------------------------------
% 6.47/1.93 % (2692128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.93 % (2692128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.93 % (2692128)CaDiCaL version: 2.1.3
% 6.47/1.93 % (2692128)Termination reason: Instruction limit
% 6.47/1.93 % (2692128)Termination phase: Saturation
% 6.47/1.93 % (2692128)Time elapsed: 0.035 s
% 6.47/1.93 % (2692128)Peak memory usage: 89 MB
% 6.47/1.93 % (2692128)Instructions burned: 114 (million)
% 6.47/1.93 % (2692129)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1636244381:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.47/1.93 % (2692124)Instruction limit reached!
% 6.47/1.93 % (2692124)------------------------------
% 6.47/1.93 % (2692124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.93 % (2692124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.93 % (2692124)CaDiCaL version: 2.1.3
% 6.47/1.93 % (2692124)Termination reason: Instruction limit
% 6.47/1.93 % (2692124)Termination phase: Saturation
% 6.47/1.93 % (2692124)Time elapsed: 0.170 s
% 6.47/1.93 % (2692124)Peak memory usage: 89 MB
% 6.47/1.93 % (2692124)Instructions burned: 295 (million)
% 6.47/1.93 % (2692132)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1288255473:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.47/1.93 % (2692104)First to succeed.
% 6.47/1.93 % (2692129)Instruction limit reached!
% 6.47/1.93 % (2692129)------------------------------
% 6.47/1.93 % (2692129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.93 % (2692129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.93 % (2692129)CaDiCaL version: 2.1.3
% 6.47/1.93 % (2692129)Termination reason: Instruction limit
% 6.47/1.93 % (2692129)Termination phase: Saturation
% 6.47/1.93 % (2692129)Time elapsed: 0.071 s
% 6.47/1.93 % (2692129)Peak memory usage: 89 MB
% 6.47/1.93 % (2692129)Instructions burned: 128 (million)
% 6.47/1.93 % (2692104)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2692098"
% 6.47/1.93 % (2692103)Also succeeded, but the first one will report.
% 6.47/1.93 % (2692132)Instruction limit reached!
% 6.47/1.93 % (2692132)------------------------------
% 6.47/1.93 % (2692132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.47/1.93 % (2692132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.47/1.93 % (2692132)CaDiCaL version: 2.1.3
% 6.47/1.93 % (2692132)Termination reason: Instruction limit
% 6.47/1.93 % (2692132)Termination phase: Saturation
% 6.47/1.93 % (2692132)Time elapsed: 0.035 s
% 6.47/1.93 % (2692132)Peak memory usage: 89 MB
% 6.47/1.93 % (2692132)Instructions burned: 114 (million)
% 6.47/1.93 % (2692134)lrs+10_1_sil=8000:sp=occurrence:random_seed=3821104648:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.47/1.93 % (2692137)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=896311495:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.47/1.93 % (2692136)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2524611945:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.47/1.93 % (2692104)Refutation found. Thanks to Tanya!
% 6.47/1.93 % SZS status Theorem for theBenchmark
% 6.47/1.93 % SZS output start Proof for theBenchmark
% See solution above
% 8.01/2.11 % (2692104)------------------------------
% 8.01/2.11 % (2692104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.01/2.11 % (2692104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.01/2.11 % (2692104)CaDiCaL version: 2.1.3
% 8.01/2.11 % (2692104)Termination reason: Refutation
% 8.01/2.11 % (2692104)Time elapsed: 0.649 s
% 8.01/2.11 % (2692104)Peak memory usage: 130 MB
% 8.01/2.11 % (2692104)Instructions burned: 968 (million)
% 8.01/2.11 % (2692104)------------------------------
% 8.01/2.11 % (2692104)------------------------------
% 8.01/2.11 % (2692098)Success in time 1.055 s
% 8.01/2.11 % Vampire exiting
%------------------------------------------------------------------------------