%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO580+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 : n010.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 09:52:59 AM UTC 2026
% Result : Theorem 7.96s 2.10s
% Output : Refutation 7.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 65 ( 10 unt; 2 def)
% Number of atoms : 186 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 182 ( 61 ~; 56 |; 52 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 253 ( 0 sgn 237 !; 16 ?)
% 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] :
( ( eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& perp(X4,X0,X1,X2)
& coll(X4,X1,X2)
& perp(X5,X1,X0,X3)
& coll(X5,X0,X3)
& perp(X6,X2,X0,X3)
& coll(X6,X0,X3)
& midp(X7,X2,X1) )
=> cyclic(X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416042) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& perp(X4,X0,X1,X2)
& coll(X4,X1,X2)
& perp(X5,X1,X0,X3)
& coll(X5,X0,X3)
& perp(X6,X2,X0,X3)
& coll(X6,X0,X3)
& midp(X7,X2,X1) )
=> cyclic(X4,X5,X6,X7) ),
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] :
( ~ cyclic(X4,X5,X6,X7)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& perp(X4,X0,X1,X2)
& coll(X4,X1,X2)
& perp(X5,X1,X0,X3)
& coll(X5,X0,X3)
& perp(X6,X2,X0,X3)
& coll(X6,X0,X3)
& midp(X7,X2,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cyclic(X4,X5,X6,X7)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& perp(X4,X0,X1,X2)
& coll(X4,X1,X2)
& perp(X5,X1,X0,X3)
& coll(X5,X0,X3)
& perp(X6,X2,X0,X3)
& coll(X6,X0,X3)
& midp(X7,X2,X1) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ cyclic(sK24,sK25,sK26,sK27)
& eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22)
& eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20)
& eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21)
& perp(sK24,sK20,sK21,sK22)
& coll(sK24,sK21,sK22)
& perp(sK25,sK21,sK20,sK23)
& coll(sK25,sK20,sK23)
& perp(sK26,sK22,sK20,sK23)
& coll(sK26,sK20,sK23)
& midp(sK27,sK22,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[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(f388,plain,
perp(sK25,sK21,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
~ cyclic(sK24,sK25,sK26,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f404,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(f407,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f404,f309]) ).
fof(f411,definition,
( spl28_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl28_1])],[avatar_definition]) ).
fof(f412,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl28_1 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f414,definition,
( spl28_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl28_2])],[avatar_definition]) ).
fof(f415,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl28_2 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f416,plain,
( spl28_1
| spl28_2 ),
inference(avatar_split_clause,[],[f407,f414,f411]) ).
fof(f428,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(f430,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f428,f312]) ).
fof(f431,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f428,f313]) ).
fof(f442,plain,
perp(sK20,sK23,sK25,sK21),
inference(resolution,[],[f278,f388]) ).
fof(f445,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK25,sK21)
| para(X0,X1,sK20,sK23) ),
inference(resolution,[],[f279,f388]) ).
fof(f463,plain,
para(sK20,sK23,sK20,sK23),
inference(resolution,[],[f442,f445]) ).
fof(f467,plain,
( $false
| ~ spl28_2 ),
inference(forward_subsumption_resolution,[],[f463,f415]) ).
fof(f468,plain,
~ spl28_2,
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f469,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) )
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f431,f412]) ).
fof(f470,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) )
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f430,f412]) ).
fof(f471,plain,
( ! [X2,X0,X1] : cyclic(X1,X1,X0,X2)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f470,f469]) ).
fof(f475,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl28_1 ),
inference(resolution,[],[f471,f287]) ).
fof(f476,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl28_1 ),
inference(forward_subsumption_resolution,[],[f475,f471]) ).
fof(f477,plain,
( $false
| ~ spl28_1 ),
inference(resolution,[],[f476,f394]) ).
fof(f482,plain,
~ spl28_1,
inference(avatar_contradiction_clause,[],[f477]) ).
cnf(s1,plain,
( spl28_1
| spl28_2 ),
inference(sat_conversion,[],[f416]) ).
cnf(s2,plain,
~ spl28_2,
inference(sat_conversion,[],[f468]) ).
cnf(s3,plain,
~ spl28_1,
inference(sat_conversion,[],[f482]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f483,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO580+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n010.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 08:34:16 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.55/1.91 % (639418)Detected formulas, will run a generic FOF schedule.
% 4.55/1.91 % (639425)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=1323699847:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.55/1.91 % (639424)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=224140848:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.55/1.91 % (639423)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=1583799326:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.55/1.91 % (639429)dis-21_1_sil=8000:lcm=predicate:random_seed=1123584386: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)
% 4.55/1.91 % (639427)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1409799176:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.55/1.91 % (639426)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=438920015:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.55/1.91 % (639428)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1150509531:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.55/1.91 % (639426)Instruction limit reached!
% 4.55/1.91 % (639426)------------------------------
% 4.55/1.91 % (639426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.91 % (639426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.91 % (639426)CaDiCaL version: 2.1.3
% 4.55/1.91 % (639426)Termination reason: Instruction limit
% 4.55/1.91 % (639426)Termination phase: Saturation
% 4.55/1.91 % (639426)Time elapsed: 0.067 s
% 4.55/1.91 % (639426)Peak memory usage: 89 MB
% 4.55/1.91 % (639426)Instructions burned: 110 (million)
% 4.55/1.91 % (639427)Instruction limit reached!
% 4.55/1.91 % (639427)------------------------------
% 4.55/1.91 % (639427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.91 % (639427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.91 % (639427)CaDiCaL version: 2.1.3
% 4.55/1.91 % (639427)Termination reason: Instruction limit
% 4.55/1.91 % (639427)Termination phase: Saturation
% 4.55/1.91 % (639427)Time elapsed: 0.070 s
% 4.55/1.91 % (639427)Peak memory usage: 89 MB
% 4.55/1.91 % (639427)Instructions burned: 120 (million)
% 4.55/1.91 % (639429)Instruction limit reached!
% 4.55/1.91 % (639429)------------------------------
% 4.55/1.91 % (639429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.91 % (639429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.91 % (639429)CaDiCaL version: 2.1.3
% 4.55/1.91 % (639429)Termination reason: Instruction limit
% 4.55/1.91 % (639429)Termination phase: Saturation
% 4.55/1.91 % (639429)Time elapsed: 0.078 s
% 4.55/1.91 % (639429)Peak memory usage: 89 MB
% 4.55/1.91 % (639429)Instructions burned: 129 (million)
% 4.55/1.91 % (639428)Instruction limit reached!
% 4.55/1.91 % (639428)------------------------------
% 4.55/1.91 % (639428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.91 % (639428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.91 % (639428)CaDiCaL version: 2.1.3
% 4.55/1.91 % (639428)Termination reason: Instruction limit
% 4.55/1.91 % (639428)Termination phase: Saturation
% 4.55/1.91 % (639428)Time elapsed: 0.092 s
% 4.55/1.91 % (639428)Peak memory usage: 90 MB
% 4.55/1.91 % (639428)Instructions burned: 140 (million)
% 4.55/1.91 % (639438)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3177428870:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.55/1.91 % (639437)lrs+10_1_sil=8000:sp=occurrence:random_seed=3200110418:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.55/1.91 % (639439)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3483674306:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.55/1.91 % (639440)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=4002337979:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.55/1.91 % (639438)Instruction limit reached!
% 4.55/1.91 % (639438)------------------------------
% 4.55/1.91 % (639438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.91 % (639438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.91 % (639438)CaDiCaL version: 2.1.3
% 4.55/1.91 % (639438)Termination reason: Instruction limit
% 4.55/1.91 % (639438)Termination phase: Saturation
% 4.55/1.91 % (639438)Time elapsed: 0.083 s
% 4.55/1.91 % (639438)Peak memory usage: 90 MB
% 4.55/1.91 % (639438)Instructions burned: 158 (million)
% 4.55/1.91 % (639440)Instruction limit reached!
% 4.55/1.91 % (639440)------------------------------
% 4.55/1.91 % (639440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.91 % (639440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.91 % (639440)CaDiCaL version: 2.1.3
% 4.55/1.91 % (639440)Termination reason: Instruction limit
% 4.55/1.91 % (639440)Termination phase: Saturation
% 4.55/1.91 % (639440)Time elapsed: 0.133 s
% 4.55/1.91 % (639440)Peak memory usage: 90 MB
% 4.55/1.91 % (639440)Instructions burned: 248 (million)
% 4.55/1.91 % (639437)Instruction limit reached!
% 4.55/1.91 % (639437)------------------------------
% 4.55/1.91 % (639437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.91 % (639437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.91 % (639437)CaDiCaL version: 2.1.3
% 4.55/1.91 % (639437)Termination reason: Instruction limit
% 4.55/1.91 % (639437)Termination phase: Saturation
% 4.55/1.91 % (639437)Time elapsed: 0.184 s
% 4.55/1.91 % (639437)Peak memory usage: 93 MB
% 4.55/1.91 % (639437)Instructions burned: 288 (million)
% 4.55/1.91 % (639445)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3953182629:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.55/1.91 % (639439)Instruction limit reached!
% 4.55/1.91 % (639439)------------------------------
% 4.55/1.91 % (639439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.91 % (639439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.91 % (639439)CaDiCaL version: 2.1.3
% 4.55/1.91 % (639439)Termination reason: Instruction limit
% 4.55/1.91 % (639439)Termination phase: Saturation
% 4.55/1.91 % (639439)Time elapsed: 0.213 s
% 4.55/1.91 % (639439)Peak memory usage: 92 MB
% 4.55/1.91 % (639439)Instructions burned: 325 (million)
% 4.55/1.91 % (639446)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=356478066:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.55/1.91 % (639447)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1947879185:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.55/1.91 % (639449)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2382091103:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.55/1.91 % (639445)Instruction limit reached!
% 4.55/1.91 % (639445)------------------------------
% 4.55/1.91 % (639445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.91 % (639445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.91 % (639445)CaDiCaL version: 2.1.3
% 4.55/1.91 % (639445)Termination reason: Instruction limit
% 4.55/1.91 % (639445)Termination phase: Saturation
% 4.55/1.91 % (639445)Time elapsed: 0.165 s
% 4.55/1.91 % (639445)Peak memory usage: 89 MB
% 4.55/1.91 % (639445)Instructions burned: 295 (million)
% 4.55/1.91 % (639447)Instruction limit reached!
% 4.55/1.91 % (639447)------------------------------
% 4.55/1.91 % (639447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.91 % (639447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.91 % (639447)CaDiCaL version: 2.1.3
% 4.55/1.91 % (639447)Termination reason: Instruction limit
% 4.55/1.91 % (639447)Termination phase: Saturation
% 4.55/1.91 % (639447)Time elapsed: 0.064 s
% 4.55/1.91 % (639447)Peak memory usage: 89 MB
% 4.55/1.91 % (639447)Instructions burned: 113 (million)
% 4.55/1.91 % (639449)Instruction limit reached!
% 4.55/1.91 % (639449)------------------------------
% 4.55/1.91 % (639449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.55/1.91 % (639449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.55/1.91 % (639449)CaDiCaL version: 2.1.3
% 4.55/1.91 % (639449)Termination reason: Instruction limit
% 4.55/1.91 % (639449)Termination phase: Saturation
% 4.55/1.91 % (639449)Time elapsed: 0.069 s
% 4.55/1.91 % (639449)Peak memory usage: 89 MB
% 4.55/1.91 % (639449)Instructions burned: 127 (million)
% 7.96/2.10 % (639423)First to succeed.
% 7.96/2.10 % (639423)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-639418"
% 7.96/2.10 % (639424)Also succeeded, but the first one will report.
% 7.96/2.10 % (639453)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2550383249:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.96/2.10 % (639454)lrs+10_1_sil=8000:sp=occurrence:random_seed=4107209483:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 7.96/2.10 % (639455)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2265827457:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 7.96/2.10 % (639453)Instruction limit reached!
% 7.96/2.10 % (639453)------------------------------
% 7.96/2.10 % (639453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.96/2.10 % (639453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/2.10 % (639453)CaDiCaL version: 2.1.3
% 7.96/2.10 % (639453)Termination reason: Instruction limit
% 7.96/2.10 % (639453)Termination phase: Saturation
% 7.96/2.10 % (639453)Time elapsed: 0.065 s
% 7.96/2.10 % (639453)Peak memory usage: 89 MB
% 7.96/2.10 % (639453)Instructions burned: 115 (million)
% 7.96/2.10 % (639423)Refutation found. Thanks to Tanya!
% 7.96/2.10 % SZS status Theorem for theBenchmark
% 7.96/2.10 % SZS output start Proof for theBenchmark
% See solution above
% 7.96/2.10 % (639423)------------------------------
% 7.96/2.10 % (639423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.96/2.10 % (639423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.96/2.10 % (639423)CaDiCaL version: 2.1.3
% 7.96/2.10 % (639423)Termination reason: Refutation
% 7.96/2.10 % (639423)Time elapsed: 0.638 s
% 7.96/2.10 % (639423)Peak memory usage: 131 MB
% 7.96/2.10 % (639423)Instructions burned: 970 (million)
% 7.96/2.10 % (639423)------------------------------
% 7.96/2.10 % (639423)------------------------------
% 7.96/2.10 % (639418)Success in time 1.044 s
% 7.96/2.10 % Vampire exiting
%------------------------------------------------------------------------------