%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO621+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 : n005.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 09:53:05 AM UTC 2026
% Result : Theorem 6.74s 1.94s
% Output : Refutation 8.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 74 ( 11 unt; 2 def)
% Number of atoms : 191 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 181 ( 64 ~; 61 |; 42 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 230 ( 0 sgn 212 !; 18 ?)
% 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(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox/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/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(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] :
( ( midp(X3,X1,X0)
& midp(X4,X2,X1)
& midp(X5,X0,X2)
& circle(X6,X3,X4,X5)
& perp(X4,X6,X4,X7)
& coll(X7,X0,X1)
& coll(X8,X4,X7)
& coll(X8,X0,X2) )
=> cyclic(X1,X7,X2,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110984) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( midp(X3,X1,X0)
& midp(X4,X2,X1)
& midp(X5,X0,X2)
& circle(X6,X3,X4,X5)
& perp(X4,X6,X4,X7)
& coll(X7,X0,X1)
& coll(X8,X4,X7)
& coll(X8,X0,X2) )
=> cyclic(X1,X7,X2,X8) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cyclic(X1,X7,X2,X8)
& midp(X3,X1,X0)
& midp(X4,X2,X1)
& midp(X5,X0,X2)
& circle(X6,X3,X4,X5)
& perp(X4,X6,X4,X7)
& coll(X7,X0,X1)
& coll(X8,X4,X7)
& coll(X8,X0,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cyclic(X1,X7,X2,X8)
& midp(X3,X1,X0)
& midp(X4,X2,X1)
& midp(X5,X0,X2)
& circle(X6,X3,X4,X5)
& perp(X4,X6,X4,X7)
& coll(X7,X0,X1)
& coll(X8,X4,X7)
& coll(X8,X0,X2) ),
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(sK1,sK7,sK2,sK8)
& midp(sK3,sK1,sK0)
& midp(sK4,sK2,sK1)
& midp(sK5,sK0,sK2)
& circle(sK6,sK3,sK4,sK5)
& perp(sK4,sK6,sK4,sK7)
& coll(sK7,sK0,sK1)
& coll(sK8,sK4,sK7)
& coll(sK8,sK0,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8)],[f99]) ).
fof(f242,plain,
perp(sK4,sK6,sK4,sK7),
inference(cnf_transformation,[],[f220]) ).
fof(f247,plain,
~ cyclic(sK1,sK7,sK2,sK8),
inference(cnf_transformation,[],[f220]) ).
fof(f262,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f295,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(f296,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(f298,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(f299,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f300,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f174]) ).
fof(f301,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f306,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(f317,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(f320,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(f336,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK4,sK6)
| para(X0,X1,sK4,sK7) ),
inference(resolution,[],[f320,f242]) ).
fof(f337,plain,
perp(sK4,sK7,sK4,sK6),
inference(resolution,[],[f262,f242]) ).
fof(f338,plain,
para(sK4,sK7,sK4,sK7),
inference(resolution,[],[f337,f336]) ).
fof(f341,plain,
! [X0,X1] : eqangle(sK4,sK7,X0,X1,sK4,sK7,X0,X1),
inference(resolution,[],[f338,f317]) ).
fof(f347,plain,
! [X0] :
( cyclic(sK7,X0,sK4,sK4)
| coll(sK4,sK4,sK7) ),
inference(resolution,[],[f341,f296]) ).
fof(f350,plain,
! [X0,X1] : eqangle(X0,X1,sK4,sK7,X0,X1,sK4,sK7),
inference(resolution,[],[f341,f306]) ).
fof(f354,definition,
( spl27_1
<=> coll(sK4,sK4,sK7) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f355,plain,
( coll(sK4,sK4,sK7)
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f357,definition,
( spl27_2
<=> ! [X0] : cyclic(sK7,X0,sK4,sK4) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f358,plain,
( ! [X0] : cyclic(sK7,X0,sK4,sK4)
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f359,plain,
( spl27_1
| spl27_2 ),
inference(avatar_split_clause,[],[f347,f357,f354]) ).
fof(f363,plain,
( ! [X0] : cyclic(X0,sK7,sK4,sK4)
| ~ spl27_2 ),
inference(resolution,[],[f358,f299]) ).
fof(f367,plain,
( ! [X0] : cyclic(X0,sK4,sK7,sK4)
| ~ spl27_2 ),
inference(resolution,[],[f363,f300]) ).
fof(f379,plain,
( ! [X0] : cyclic(X0,sK4,sK4,sK7)
| ~ spl27_2 ),
inference(resolution,[],[f367,f301]) ).
fof(f386,plain,
( ! [X0] : cyclic(sK4,X0,sK4,sK7)
| ~ spl27_2 ),
inference(resolution,[],[f379,f299]) ).
fof(f390,plain,
( ! [X0] : cyclic(sK4,sK4,X0,sK7)
| ~ spl27_2 ),
inference(resolution,[],[f386,f300]) ).
fof(f394,plain,
( ! [X0] : cyclic(sK4,sK4,sK7,X0)
| ~ spl27_2 ),
inference(resolution,[],[f390,f301]) ).
fof(f402,plain,
( ! [X0,X1] :
( ~ cyclic(sK4,sK4,sK7,X0)
| cyclic(sK4,sK7,X0,X1) )
| ~ spl27_2 ),
inference(resolution,[],[f394,f298]) ).
fof(f403,plain,
( ! [X0,X1] : cyclic(sK4,sK7,X0,X1)
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f402,f394]) ).
fof(f408,plain,
( ! [X2,X0,X1] :
( ~ cyclic(sK4,sK7,X0,X1)
| cyclic(sK7,X0,X1,X2) )
| ~ spl27_2 ),
inference(resolution,[],[f403,f298]) ).
fof(f409,plain,
( ! [X2,X0,X1] : cyclic(sK7,X0,X1,X2)
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f408,f403]) ).
fof(f412,plain,
( $false
| ~ spl27_2 ),
inference(unit_resulting_resolution,[],[f299,f247,f409]) ).
fof(f420,plain,
~ spl27_2,
inference(avatar_contradiction_clause,[],[f412]) ).
fof(f422,plain,
( ! [X0] :
( ~ eqangle(sK4,X0,sK4,sK7,sK4,X0,sK4,sK7)
| cyclic(X0,sK7,sK4,sK4) )
| ~ spl27_1 ),
inference(resolution,[],[f355,f295]) ).
fof(f423,plain,
( ! [X0] : cyclic(X0,sK7,sK4,sK4)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f422,f350]) ).
fof(f427,plain,
( ! [X0] : cyclic(sK7,X0,sK4,sK4)
| ~ spl27_1 ),
inference(resolution,[],[f423,f299]) ).
fof(f429,plain,
( spl27_2
| ~ spl27_1 ),
inference(avatar_split_clause,[],[f427,f354,f357]) ).
cnf(s1,plain,
( spl27_1
| spl27_2 ),
inference(sat_conversion,[],[f359]) ).
cnf(s4,plain,
~ spl27_2,
inference(sat_conversion,[],[f420]) ).
cnf(s5,plain,
( ~ spl27_1
| spl27_2 ),
inference(sat_conversion,[],[f429]) ).
cnf(s6,plain,
~ spl27_1,
inference(rat,[],[s5,s4]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s4,s6]) ).
fof(f430,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO621+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 08:39:17 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 6.74/1.94 % (3684530)Detected formulas, will run a generic FOF schedule.
% 6.74/1.94 % (3684541)dis-21_1_sil=8000:lcm=predicate:random_seed=300749247: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)
% 6.74/1.94 % (3684537)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=1782612235:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.74/1.94 % (3684535)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=4043881166:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.74/1.94 % (3684539)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3780725048:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.74/1.94 % (3684536)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=4286103906:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.74/1.94 % (3684538)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2391452216:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.74/1.94 % (3684540)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3300248201:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.74/1.94 % (3684541)Instruction limit reached!
% 6.74/1.94 % (3684541)------------------------------
% 6.74/1.94 % (3684541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.94 % (3684541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.94 % (3684541)CaDiCaL version: 2.1.3
% 6.74/1.94 % (3684541)Termination reason: Instruction limit
% 6.74/1.94 % (3684541)Termination phase: Saturation
% 6.74/1.94 % (3684541)Time elapsed: 0.040 s
% 6.74/1.94 % (3684541)Peak memory usage: 89 MB
% 6.74/1.94 % (3684541)Instructions burned: 133 (million)
% 6.74/1.94 % (3684538)Refutation not found, incomplete strategy
% 6.74/1.94 % (3684538)------------------------------
% 6.74/1.94 % (3684538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.94 % (3684538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.94 % (3684538)CaDiCaL version: 2.1.3
% 6.74/1.94 % (3684538)Termination reason: Refutation not found, incomplete strategy
% 6.74/1.94 % (3684538)Time elapsed: 0.042 s
% 6.74/1.94 % (3684538)Peak memory usage: 89 MB
% 6.74/1.94 % (3684538)Instructions burned: 77 (million)
% 6.74/1.94 % (3684539)Instruction limit reached!
% 6.74/1.94 % (3684539)------------------------------
% 6.74/1.94 % (3684539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.94 % (3684539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.94 % (3684539)CaDiCaL version: 2.1.3
% 6.74/1.94 % (3684539)Termination reason: Instruction limit
% 6.74/1.94 % (3684539)Termination phase: Saturation
% 6.74/1.94 % (3684539)Time elapsed: 0.068 s
% 6.74/1.94 % (3684539)Peak memory usage: 88 MB
% 6.74/1.94 % (3684539)Instructions burned: 120 (million)
% 6.74/1.94 % (3684540)Instruction limit reached!
% 6.74/1.94 % (3684540)------------------------------
% 6.74/1.94 % (3684540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.94 % (3684540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.94 % (3684540)CaDiCaL version: 2.1.3
% 6.74/1.94 % (3684540)Termination reason: Instruction limit
% 6.74/1.94 % (3684540)Termination phase: Saturation
% 6.74/1.94 % (3684540)Time elapsed: 0.091 s
% 6.74/1.94 % (3684540)Peak memory usage: 90 MB
% 6.74/1.94 % (3684540)Instructions burned: 140 (million)
% 6.74/1.94 % (3684549)lrs+10_1_sil=8000:sp=occurrence:random_seed=4294636929:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.74/1.94 % (3684550)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4129167753:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.74/1.94 % (3684549)Instruction limit reached!
% 6.74/1.94 % (3684549)------------------------------
% 6.74/1.94 % (3684549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.94 % (3684549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.94 % (3684549)CaDiCaL version: 2.1.3
% 6.74/1.94 % (3684549)Termination reason: Instruction limit
% 6.74/1.94 % (3684549)Termination phase: Saturation
% 6.74/1.94 % (3684549)Time elapsed: 0.101 s
% 6.74/1.94 % (3684549)Peak memory usage: 92 MB
% 6.74/1.94 % (3684549)Instructions burned: 287 (million)
% 6.74/1.94 % (3684551)lrs+1011_1_sil=32000:sp=occurrence:random_seed=419391150:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.74/1.94 % (3684538)------------------------------
% 6.74/1.94 % (3684538)------------------------------
% 6.74/1.94 % (3684550)Instruction limit reached!
% 6.74/1.94 % (3684550)------------------------------
% 6.74/1.94 % (3684550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.94 % (3684550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.94 % (3684550)CaDiCaL version: 2.1.3
% 6.74/1.94 % (3684550)Termination reason: Instruction limit
% 6.74/1.94 % (3684550)Termination phase: Saturation
% 6.74/1.94 % (3684550)Time elapsed: 0.084 s
% 6.74/1.94 % (3684550)Peak memory usage: 90 MB
% 6.74/1.94 % (3684550)Instructions burned: 158 (million)
% 6.74/1.94 % (3684554)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=1478646045:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.74/1.94 % (3684554)Instruction limit reached!
% 6.74/1.94 % (3684554)------------------------------
% 6.74/1.94 % (3684554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.94 % (3684554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.94 % (3684554)CaDiCaL version: 2.1.3
% 6.74/1.94 % (3684554)Termination reason: Instruction limit
% 6.74/1.94 % (3684554)Termination phase: Saturation
% 6.74/1.94 % (3684554)Time elapsed: 0.071 s
% 6.74/1.94 % (3684554)Peak memory usage: 92 MB
% 6.74/1.94 % (3684554)Instructions burned: 249 (million)
% 6.74/1.94 % (3684556)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=755261975:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.74/1.94 % (3684551)Instruction limit reached!
% 6.74/1.94 % (3684551)------------------------------
% 6.74/1.94 % (3684551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.94 % (3684551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.94 % (3684551)CaDiCaL version: 2.1.3
% 6.74/1.94 % (3684551)Termination reason: Instruction limit
% 6.74/1.94 % (3684551)Termination phase: Saturation
% 6.74/1.94 % (3684551)Time elapsed: 0.202 s
% 6.74/1.94 % (3684551)Peak memory usage: 91 MB
% 6.74/1.94 % (3684551)Instructions burned: 326 (million)
% 6.74/1.94 % (3684557)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1898815016:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.74/1.94 % (3684559)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1667901402:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.74/1.94 % (3684559)Instruction limit reached!
% 6.74/1.94 % (3684559)------------------------------
% 6.74/1.94 % (3684559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.94 % (3684559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.94 % (3684559)CaDiCaL version: 2.1.3
% 6.74/1.94 % (3684559)Termination reason: Instruction limit
% 6.74/1.94 % (3684559)Termination phase: Saturation
% 6.74/1.94 % (3684559)Time elapsed: 0.036 s
% 6.74/1.94 % (3684559)Peak memory usage: 89 MB
% 6.74/1.94 % (3684559)Instructions burned: 114 (million)
% 6.74/1.94 % (3684556)Instruction limit reached!
% 6.74/1.94 % (3684556)------------------------------
% 6.74/1.94 % (3684556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.94 % (3684556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.94 % (3684556)CaDiCaL version: 2.1.3
% 6.74/1.94 % (3684556)Termination reason: Instruction limit
% 6.74/1.94 % (3684556)Termination phase: Saturation
% 6.74/1.94 % (3684556)Time elapsed: 0.165 s
% 6.74/1.94 % (3684556)Peak memory usage: 89 MB
% 6.74/1.94 % (3684556)Instructions burned: 294 (million)
% 6.74/1.94 % (3684561)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1098110110:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.74/1.94 % (3684536)First to succeed.
% 6.74/1.94 % (3684535)Also succeeded, but the first one will report.
% 6.74/1.94 % (3684536)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3684530"
% 6.74/1.94 % (3684561)Instruction limit reached!
% 6.74/1.94 % (3684561)------------------------------
% 6.74/1.94 % (3684561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.94 % (3684561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.94 % (3684561)CaDiCaL version: 2.1.3
% 6.74/1.94 % (3684561)Termination reason: Instruction limit
% 6.74/1.94 % (3684561)Termination phase: Saturation
% 6.74/1.94 % (3684561)Time elapsed: 0.071 s
% 6.74/1.94 % (3684561)Peak memory usage: 89 MB
% 6.74/1.94 % (3684561)Instructions burned: 128 (million)
% 6.74/1.94 % (3684564)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1959739605:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.74/1.94 % (3684564)Instruction limit reached!
% 6.74/1.94 % (3684564)------------------------------
% 6.74/1.94 % (3684564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.74/1.94 % (3684564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.94 % (3684564)CaDiCaL version: 2.1.3
% 6.74/1.94 % (3684564)Termination reason: Instruction limit
% 6.74/1.94 % (3684564)Termination phase: Saturation
% 6.74/1.94 % (3684564)Time elapsed: 0.035 s
% 6.74/1.94 % (3684564)Peak memory usage: 89 MB
% 6.74/1.94 % (3684564)Instructions burned: 116 (million)
% 6.74/1.94 % (3684565)lrs+10_1_sil=8000:sp=occurrence:random_seed=1056299354:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.74/1.94 % (3684567)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=286416012:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.74/1.94 % (3684569)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=217158214:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.74/1.94 % (3684536)Refutation found. Thanks to Tanya!
% 6.74/1.94 % SZS status Theorem for theBenchmark
% 6.74/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 8.25/2.07 % (3684536)------------------------------
% 8.25/2.07 % (3684536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.25/2.07 % (3684536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.25/2.07 % (3684536)CaDiCaL version: 2.1.3
% 8.25/2.07 % (3684536)Termination reason: Refutation
% 8.25/2.07 % (3684536)Time elapsed: 0.651 s
% 8.25/2.07 % (3684536)Peak memory usage: 128 MB
% 8.25/2.07 % (3684536)Instructions burned: 969 (million)
% 8.25/2.07 % (3684536)------------------------------
% 8.25/2.07 % (3684536)------------------------------
% 8.25/2.07 % (3684530)Success in time 1.092 s
% 8.25/2.07 % Vampire exiting
%------------------------------------------------------------------------------