%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO535+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 09:52:52 AM UTC 2026
% Result : Theorem 8.88s 2.22s
% Output : Refutation 8.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 77 ( 20 unt; 5 def)
% Number of atoms : 197 ( 18 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 207 ( 87 ~; 101 |; 14 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-6 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 94 ( 0 sgn 88 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1,X2,X3] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_2) ).
fof(f17,axiom,
! [X0,X1,X2] :
( ~ s_e(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_13) ).
fof(f18,axiom,
! [X0,X1,X2,X3] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X1,X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz2_14) ).
fof(f74,axiom,
! [X0,X1] :
( X0 = X1
| sameside(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_5) ).
fof(f202,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ congruent(X0,X1,X2,X3,X4,X5)
| sameside(ext(X1,X0,X4,X3),X1,X0) )
& ( ~ congruent(X0,X1,X2,X3,X4,X5)
| sameside(ext(X1,X2,X4,X5),X1,X2) )
& ( ~ congruent(X0,X1,X2,X3,X4,X5)
| sameside(ext(X4,X3,X1,X0),X4,X3) )
& ( ~ congruent(X0,X1,X2,X3,X4,X5)
| sameside(ext(X4,X5,X1,X2),X4,X5) )
& ( ~ congruent(X0,X1,X2,X3,X4,X5)
| s_e3(ext(X1,X0,X4,X3),X1,ext(X1,X2,X4,X5),ext(X4,X3,X1,X0),X4,ext(X4,X5,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_3a) ).
fof(f205,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ congruent(X0,X1,X2,X3,X4,X5)
| ~ sameside(X6,X1,X0)
| ~ sameside(X7,X1,X2)
| ~ sameside(X8,X4,X3)
| ~ sameside(X9,X4,X5)
| ~ s_e(X1,X6,X4,X8)
| ~ s_e(X1,X7,X4,X9)
| s_e(X6,X7,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_4) ).
fof(f213,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ~ congruent(X0,X1,X2,X3,X4,X5)
| ~ s_e(X1,X0,X4,X3)
| ~ s_e(X1,X2,X4,X5)
| s_e(X0,X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_49a) ).
fof(f214,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ~ congruent(X0,X1,X2,X3,X4,X5)
| ~ s_e(X1,X0,X4,X3)
| ~ s_e(X1,X2,X4,X5)
| s_e(X0,X2,X3,X5) ),
inference(negated_conjecture,[status(cth)],[f213]) ).
fof(f222,axiom,
! [X0,X1,X2] :
( ( ~ sameside(X0,X1,X2)
| X0 != X1 )
& ( ~ sameside(X0,X1,X2)
| X2 != X1 )
& ( ~ sameside(X0,X1,X2)
| s_t(X1,X0,X2)
| s_t(X1,X2,X0) )
& ( ~ s_t(X1,X0,X2)
| X0 = X1
| xb = X1
| sameside(X0,X1,X2) )
& ( ~ s_t(X1,X2,X0)
| X0 = X1
| X2 = X1
| sameside(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn6_1) ).
fof(f230,plain,
? [X0,X1,X2,X3,X4,X5] :
( congruent(X0,X1,X2,X3,X4,X5)
& s_e(X1,X0,X4,X3)
& s_e(X1,X2,X4,X5)
& ~ s_e(X0,X2,X3,X5) ),
inference(ennf_transformation,[],[f214]) ).
fof(f231,plain,
( congruent(sK0,sK1,sK2,sK3,sK4,sK5)
& s_e(sK1,sK0,sK4,sK3)
& s_e(sK1,sK2,sK4,sK5)
& ~ s_e(sK0,sK2,sK3,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f230]) ).
fof(f245,plain,
! [X2,X3,X0,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f252,plain,
! [X2,X0,X1] :
( ~ s_e(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f253,plain,
! [X2,X3,X0,X1] :
( ~ s_e(X0,X1,X2,X3)
| s_e(X1,X0,X3,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f318,plain,
! [X0,X1] :
( sameside(X0,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f467,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ congruent(X0,X1,X2,X3,X4,X5)
| sameside(ext(X4,X5,X1,X2),X4,X5) ),
inference(cnf_transformation,[],[f202]) ).
fof(f479,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ congruent(X0,X1,X2,X3,X4,X5)
| ~ sameside(X6,X1,X0)
| ~ sameside(X7,X1,X2)
| ~ sameside(X8,X4,X3)
| ~ sameside(X9,X4,X5)
| ~ s_e(X1,X6,X4,X8)
| ~ s_e(X1,X7,X4,X9)
| s_e(X6,X7,X8,X9) ),
inference(cnf_transformation,[],[f205]) ).
fof(f488,plain,
~ s_e(sK0,sK2,sK3,sK5),
inference(cnf_transformation,[],[f231]) ).
fof(f489,plain,
s_e(sK1,sK2,sK4,sK5),
inference(cnf_transformation,[],[f231]) ).
fof(f490,plain,
s_e(sK1,sK0,sK4,sK3),
inference(cnf_transformation,[],[f231]) ).
fof(f491,plain,
congruent(sK0,sK1,sK2,sK3,sK4,sK5),
inference(cnf_transformation,[],[f231]) ).
fof(f526,plain,
! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| X1 != X2 ),
inference(cnf_transformation,[],[f222]) ).
fof(f592,plain,
! [X2,X0] : ~ sameside(X0,X2,X2),
inference(equality_resolution,[],[f526]) ).
fof(f626,plain,
! [X2,X3,X0,X1] :
( ~ s_e(sK1,X1,sK4,X3)
| ~ sameside(X1,sK1,sK2)
| ~ sameside(X2,sK4,sK3)
| ~ sameside(X3,sK4,sK5)
| ~ s_e(sK1,X0,sK4,X2)
| ~ sameside(X0,sK1,sK0)
| s_e(X0,X1,X2,X3) ),
inference(resolution,[],[f479,f491]) ).
fof(f628,plain,
! [X0,X1] :
( ~ sameside(sK2,sK1,sK2)
| ~ sameside(X0,sK4,sK3)
| ~ sameside(sK5,sK4,sK5)
| ~ s_e(sK1,X1,sK4,X0)
| ~ sameside(X1,sK1,sK0)
| s_e(X1,sK2,X0,sK5) ),
inference(resolution,[],[f626,f489]) ).
fof(f630,definition,
( spl6_7
<=> sameside(sK5,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
fof(f632,plain,
( ~ sameside(sK5,sK4,sK5)
| spl6_7 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f634,definition,
( spl6_8
<=> ! [X0,X1] :
( ~ sameside(X0,sK4,sK3)
| s_e(X1,sK2,X0,sK5)
| ~ sameside(X1,sK1,sK0)
| ~ s_e(sK1,X1,sK4,X0) ) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
fof(f635,plain,
( ! [X0,X1] :
( ~ s_e(sK1,X1,sK4,X0)
| s_e(X1,sK2,X0,sK5)
| ~ sameside(X1,sK1,sK0)
| ~ sameside(X0,sK4,sK3) )
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f637,definition,
( spl6_9
<=> sameside(sK2,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl6_9])],[avatar_definition]) ).
fof(f639,plain,
( ~ sameside(sK2,sK1,sK2)
| spl6_9 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f640,plain,
( ~ spl6_7
| spl6_8
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f628,f637,f634,f630]) ).
fof(f677,plain,
s_e(sK4,sK3,sK1,sK0),
inference(resolution,[],[f245,f490]) ).
fof(f678,plain,
s_e(sK4,sK5,sK1,sK2),
inference(resolution,[],[f245,f489]) ).
fof(f692,plain,
s_e(sK0,sK1,sK3,sK4),
inference(resolution,[],[f253,f490]) ).
fof(f721,plain,
( sK4 = sK5
| spl6_7 ),
inference(resolution,[],[f318,f632]) ).
fof(f818,plain,
sameside(ext(sK4,sK5,sK1,sK2),sK4,sK5),
inference(resolution,[],[f467,f491]) ).
fof(f822,plain,
( sameside(ext(sK4,sK4,sK1,sK2),sK4,sK4)
| spl6_7 ),
inference(forward_demodulation,[],[f818,f721]) ).
fof(f823,plain,
( $false
| spl6_7 ),
inference(forward_subsumption_resolution,[],[f822,f592]) ).
fof(f824,plain,
spl6_7,
inference(avatar_contradiction_clause,[],[f823]) ).
fof(f827,plain,
( sK1 = sK2
| spl6_9 ),
inference(resolution,[],[f639,f318]) ).
fof(f835,plain,
( s_e(sK4,sK5,sK1,sK1)
| spl6_9 ),
inference(superposition,[],[f678,f827]) ).
fof(f848,plain,
( sK4 = sK5
| spl6_9 ),
inference(resolution,[],[f835,f252]) ).
fof(f854,plain,
( ~ s_e(sK0,sK2,sK3,sK4)
| spl6_9 ),
inference(superposition,[],[f488,f848]) ).
fof(f877,plain,
( ~ s_e(sK0,sK1,sK3,sK4)
| spl6_9 ),
inference(forward_demodulation,[],[f854,f827]) ).
fof(f878,plain,
( $false
| spl6_9 ),
inference(forward_subsumption_resolution,[],[f877,f692]) ).
fof(f879,plain,
spl6_9,
inference(avatar_contradiction_clause,[],[f878]) ).
fof(f880,plain,
( s_e(sK0,sK2,sK3,sK5)
| ~ sameside(sK0,sK1,sK0)
| ~ sameside(sK3,sK4,sK3)
| ~ spl6_8 ),
inference(resolution,[],[f635,f490]) ).
fof(f898,plain,
( ~ sameside(sK0,sK1,sK0)
| ~ sameside(sK3,sK4,sK3)
| ~ spl6_8 ),
inference(forward_subsumption_resolution,[],[f880,f488]) ).
fof(f900,definition,
( spl6_19
<=> sameside(sK3,sK4,sK3) ),
introduced(definition,[new_symbols(definition,[spl6_19])],[avatar_definition]) ).
fof(f902,plain,
( ~ sameside(sK3,sK4,sK3)
| spl6_19 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f904,definition,
( spl6_20
<=> sameside(sK0,sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl6_20])],[avatar_definition]) ).
fof(f906,plain,
( ~ sameside(sK0,sK1,sK0)
| spl6_20 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f907,plain,
( ~ spl6_19
| ~ spl6_20
| ~ spl6_8 ),
inference(avatar_split_clause,[],[f898,f634,f904,f900]) ).
fof(f909,plain,
( sK0 = sK1
| spl6_20 ),
inference(resolution,[],[f906,f318]) ).
fof(f921,plain,
( s_e(sK4,sK3,sK0,sK0)
| spl6_20 ),
inference(superposition,[],[f677,f909]) ).
fof(f994,plain,
( sK3 = sK4
| spl6_20 ),
inference(resolution,[],[f921,f252]) ).
fof(f998,plain,
( s_e(sK1,sK2,sK3,sK5)
| spl6_20 ),
inference(superposition,[],[f489,f994]) ).
fof(f1035,plain,
( s_e(sK0,sK2,sK3,sK5)
| spl6_20 ),
inference(forward_demodulation,[],[f998,f909]) ).
fof(f1036,plain,
( $false
| spl6_20 ),
inference(forward_subsumption_resolution,[],[f1035,f488]) ).
fof(f1037,plain,
spl6_20,
inference(avatar_contradiction_clause,[],[f1036]) ).
fof(f1039,plain,
( sK3 = sK4
| spl6_19 ),
inference(resolution,[],[f902,f318]) ).
fof(f1052,plain,
( s_e(sK0,sK1,sK3,sK3)
| spl6_19 ),
inference(superposition,[],[f692,f1039]) ).
fof(f1064,plain,
( sK0 = sK1
| spl6_19 ),
inference(resolution,[],[f1052,f252]) ).
fof(f1069,plain,
( s_e(sK0,sK2,sK4,sK5)
| spl6_19 ),
inference(superposition,[],[f489,f1064]) ).
fof(f1108,plain,
( s_e(sK0,sK2,sK3,sK5)
| spl6_19 ),
inference(forward_demodulation,[],[f1069,f1039]) ).
fof(f1109,plain,
( $false
| spl6_19 ),
inference(forward_subsumption_resolution,[],[f1108,f488]) ).
fof(f1110,plain,
spl6_19,
inference(avatar_contradiction_clause,[],[f1109]) ).
cnf(s2,plain,
( ~ spl6_7
| spl6_8
| ~ spl6_9 ),
inference(sat_conversion,[],[f640]) ).
cnf(s6,plain,
spl6_7,
inference(sat_conversion,[],[f824]) ).
cnf(s10,plain,
spl6_9,
inference(sat_conversion,[],[f879]) ).
cnf(s12,plain,
( ~ spl6_8
| ~ spl6_19
| ~ spl6_20 ),
inference(sat_conversion,[],[f907]) ).
cnf(s14,plain,
spl6_20,
inference(sat_conversion,[],[f1037]) ).
cnf(s16,plain,
spl6_19,
inference(sat_conversion,[],[f1110]) ).
cnf(s17,plain,
~ spl6_8,
inference(rat,[],[s12,s14,s16]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s2,s10,s17,s6]) ).
fof(f1111,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO535+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n002.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 08:30:06 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 6.94/2.02 % (3233083)Detected formulas, will run a generic FOF schedule.
% 6.94/2.02 % (3233092)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1052225728:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.94/2.02 % (3233092)Instruction limit reached!
% 6.94/2.02 % (3233092)------------------------------
% 6.94/2.02 % (3233092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.02 % (3233092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/2.02 % (3233092)CaDiCaL version: 2.1.3
% 6.94/2.02 % (3233092)Termination reason: Instruction limit
% 6.94/2.02 % (3233092)Termination phase: Saturation
% 6.94/2.02 % (3233092)Time elapsed: 0.038 s
% 6.94/2.02 % (3233092)Peak memory usage: 88 MB
% 6.94/2.02 % (3233092)Instructions burned: 122 (million)
% 6.94/2.02 % (3233093)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1558319972:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.94/2.02 % (3233094)dis-21_1_sil=8000:lcm=predicate:random_seed=1668071658: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)
% 6.94/2.02 % (3233091)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=219083778:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.94/2.02 % (3233090)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=2127510672:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.94/2.02 % (3233088)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=2365444572:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.94/2.02 % (3233089)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=2511915751:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.94/2.02 % (3233091)Refutation not found, incomplete strategy
% 6.94/2.02 % (3233091)------------------------------
% 6.94/2.02 % (3233091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.02 % (3233091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/2.02 % (3233091)CaDiCaL version: 2.1.3
% 6.94/2.02 % (3233091)Termination reason: Refutation not found, incomplete strategy
% 6.94/2.02 % (3233091)Time elapsed: 0.012 s
% 6.94/2.02 % (3233091)Peak memory usage: 88 MB
% 6.94/2.02 % (3233091)Instructions burned: 16 (million)
% 6.94/2.02 % (3233094)Instruction limit reached!
% 6.94/2.02 % (3233094)------------------------------
% 6.94/2.02 % (3233094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.02 % (3233094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/2.02 % (3233094)CaDiCaL version: 2.1.3
% 6.94/2.02 % (3233094)Termination reason: Instruction limit
% 6.94/2.02 % (3233094)Termination phase: Saturation
% 6.94/2.02 % (3233094)Time elapsed: 0.079 s
% 6.94/2.02 % (3233094)Peak memory usage: 89 MB
% 6.94/2.02 % (3233094)Instructions burned: 129 (million)
% 6.94/2.02 % (3233093)Instruction limit reached!
% 6.94/2.02 % (3233093)------------------------------
% 6.94/2.02 % (3233093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.02 % (3233093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/2.02 % (3233093)CaDiCaL version: 2.1.3
% 6.94/2.02 % (3233093)Termination reason: Instruction limit
% 6.94/2.02 % (3233093)Termination phase: Saturation
% 6.94/2.02 % (3233093)Time elapsed: 0.093 s
% 6.94/2.02 % (3233093)Peak memory usage: 89 MB
% 6.94/2.02 % (3233093)Instructions burned: 139 (million)
% 6.94/2.02 % (3233096)lrs+10_1_sil=8000:sp=occurrence:random_seed=154061533:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.94/2.02 % (3233103)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3273297791:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.94/2.02 % (3233103)Refutation not found, incomplete strategy
% 6.94/2.02 % (3233103)------------------------------
% 6.94/2.02 % (3233103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.02 % (3233103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/2.02 % (3233103)CaDiCaL version: 2.1.3
% 6.94/2.02 % (3233103)Termination reason: Refutation not found, incomplete strategy
% 6.94/2.02 % (3233103)Time elapsed: 0.008 s
% 6.94/2.02 % (3233103)Peak memory usage: 89 MB
% 6.94/2.02 % (3233103)Instructions burned: 13 (million)
% 6.94/2.02 % (3233096)Instruction limit reached!
% 6.94/2.02 % (3233096)------------------------------
% 6.94/2.02 % (3233096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.02 % (3233096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/2.02 % (3233096)CaDiCaL version: 2.1.3
% 6.94/2.02 % (3233096)Termination reason: Instruction limit
% 6.94/2.02 % (3233096)Termination phase: Saturation
% 6.94/2.02 % (3233096)Time elapsed: 0.129 s
% 6.94/2.02 % (3233096)Peak memory usage: 91 MB
% 6.94/2.02 % (3233096)Instructions burned: 285 (million)
% 6.94/2.02 % (3233104)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2695892737:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.94/2.02 % (3233091)------------------------------
% 6.94/2.02 % (3233091)------------------------------
% 6.94/2.02 % (3233108)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=1350323337:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.94/2.02 % (3233109)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=660537637:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.94/2.02 % (3233108)Instruction limit reached!
% 6.94/2.02 % (3233108)------------------------------
% 6.94/2.02 % (3233108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.02 % (3233108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/2.02 % (3233108)CaDiCaL version: 2.1.3
% 6.94/2.02 % (3233108)Termination reason: Instruction limit
% 6.94/2.02 % (3233108)Termination phase: Saturation
% 6.94/2.02 % (3233108)Time elapsed: 0.065 s
% 6.94/2.02 % (3233108)Peak memory usage: 89 MB
% 6.94/2.02 % (3233108)Instructions burned: 250 (million)
% 6.94/2.02 % (3233104)Instruction limit reached!
% 6.94/2.02 % (3233104)------------------------------
% 6.94/2.02 % (3233104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.02 % (3233104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/2.02 % (3233104)CaDiCaL version: 2.1.3
% 6.94/2.02 % (3233104)Termination reason: Instruction limit
% 6.94/2.02 % (3233104)Termination phase: Saturation
% 6.94/2.02 % (3233104)Time elapsed: 0.190 s
% 6.94/2.02 % (3233104)Peak memory usage: 91 MB
% 6.94/2.02 % (3233104)Instructions burned: 326 (million)
% 6.94/2.02 % (3233103)------------------------------
% 6.94/2.02 % (3233103)------------------------------
% 6.94/2.02 % (3233112)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2764173888:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.94/2.02 % (3233109)Instruction limit reached!
% 6.94/2.02 % (3233109)------------------------------
% 6.94/2.02 % (3233109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.02 % (3233109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/2.02 % (3233109)CaDiCaL version: 2.1.3
% 6.94/2.02 % (3233109)Termination reason: Instruction limit
% 6.94/2.02 % (3233109)Termination phase: Saturation
% 6.94/2.02 % (3233109)Time elapsed: 0.166 s
% 6.94/2.02 % (3233109)Peak memory usage: 89 MB
% 6.94/2.02 % (3233109)Instructions burned: 295 (million)
% 6.94/2.02 % (3233113)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=144468930:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.94/2.02 % (3233114)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3531022555:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.94/2.02 % (3233113)Instruction limit reached!
% 6.94/2.02 % (3233113)------------------------------
% 6.94/2.02 % (3233113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.02 % (3233113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/2.02 % (3233113)CaDiCaL version: 2.1.3
% 6.94/2.02 % (3233113)Termination reason: Instruction limit
% 6.94/2.02 % (3233113)Termination phase: Saturation
% 6.94/2.02 % (3233113)Time elapsed: 0.066 s
% 6.94/2.02 % (3233113)Peak memory usage: 90 MB
% 6.94/2.02 % (3233113)Instructions burned: 114 (million)
% 6.94/2.02 % (3233114)Instruction limit reached!
% 6.94/2.02 % (3233114)------------------------------
% 6.94/2.02 % (3233114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.02 % (3233114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.88/2.22 % (3233114)CaDiCaL version: 2.1.3
% 8.88/2.22 % (3233114)Termination reason: Instruction limit
% 8.88/2.22 % (3233114)Termination phase: Saturation
% 8.88/2.22 % (3233114)Time elapsed: 0.069 s
% 8.88/2.22 % (3233114)Peak memory usage: 89 MB
% 8.88/2.22 % (3233114)Instructions burned: 128 (million)
% 8.88/2.22 % (3233088)First to succeed.
% 8.88/2.22 % (3233088)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3233083"
% 8.88/2.22 % (3233116)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=869222734:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.88/2.22 % (3233116)Instruction limit reached!
% 8.88/2.22 % (3233116)------------------------------
% 8.88/2.22 % (3233116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.88/2.22 % (3233116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.88/2.22 % (3233116)CaDiCaL version: 2.1.3
% 8.88/2.22 % (3233116)Termination reason: Instruction limit
% 8.88/2.22 % (3233116)Termination phase: Saturation
% 8.88/2.22 % (3233116)Time elapsed: 0.054 s
% 8.88/2.22 % (3233116)Peak memory usage: 88 MB
% 8.88/2.22 % (3233116)Instructions burned: 114 (million)
% 8.88/2.22 % (3233119)lrs+10_1_sil=8000:sp=occurrence:random_seed=2180343327:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.88/2.22 % (3233120)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3780076459:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.88/2.22 % (3233112)Also succeeded, but the first one will report.
% 8.88/2.22 % (3233122)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2929521521:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 8.88/2.22 % (3233088)Refutation found. Thanks to Tanya!
% 8.88/2.22 % SZS status Theorem for theBenchmark
% 8.88/2.22 % SZS output start Proof for theBenchmark
% See solution above
% 8.88/2.22 % (3233088)------------------------------
% 8.88/2.22 % (3233088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.88/2.22 % (3233088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.88/2.22 % (3233088)CaDiCaL version: 2.1.3
% 8.88/2.22 % (3233088)Termination reason: Refutation
% 8.88/2.22 % (3233088)Time elapsed: 0.731 s
% 8.88/2.22 % (3233088)Peak memory usage: 134 MB
% 8.88/2.22 % (3233088)Instructions burned: 1092 (million)
% 8.88/2.22 % (3233088)------------------------------
% 8.88/2.22 % (3233088)------------------------------
% 8.88/2.22 % (3233083)Success in time 1.183 s
% 8.88/2.22 % Vampire exiting
%------------------------------------------------------------------------------