%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO536+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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:53 AM UTC 2026
% Result : Theorem 8.61s 2.06s
% Output : Refutation 8.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 70 ( 19 unt; 4 def)
% Number of atoms : 218 ( 30 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 270 ( 122 ~; 125 |; 19 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-6 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 149 ( 0 sgn 143 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2] :
( ~ s_e(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aA3) ).
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(f203,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sameside(X0,X1,X2)
| ~ sameside(X3,X1,X4)
| ~ sameside(X5,X6,X7)
| ~ sameside(X8,X6,X9)
| ~ s_e3(X0,X1,X3,X5,X6,X8)
| congruent(X2,X1,X4,X7,X6,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_3d) ).
fof(f208,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ~ congruent(X0,X1,X2,X3,X4,X5)
| congruent(X3,X4,X5,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_7) ).
fof(f213,axiom,
! [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,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)
| X0 = X2
| congruent(X1,X0,X2,X4,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz11_49b) ).
fof(f215,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)
| X0 = X2
| congruent(X1,X0,X2,X4,X3,X5) ),
inference(negated_conjecture,[status(cth)],[f214]) ).
fof(f219,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ s_e3(X0,X1,X2,X3,X4,X5)
| s_e(X0,X1,X3,X4) )
& ( ~ s_e3(X0,X1,X2,X3,X4,X5)
| s_e(X0,X2,X3,X5) )
& ( ~ s_e3(X0,X1,X2,X3,X4,X5)
| s_e(X1,X2,X4,X5) )
& ( ~ s_e(X0,X1,X3,X4)
| ~ s_e(X0,X2,X3,X5)
| ~ s_e(X1,X2,X4,X5)
| s_e3(X0,X1,X2,X3,X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn4_4) ).
fof(f223,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(f231,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)
& X0 != X2
& ~ congruent(X1,X0,X2,X4,X3,X5) ),
inference(ennf_transformation,[],[f215]) ).
fof(f232,plain,
( congruent(sK0,sK1,sK2,sK3,sK4,sK5)
& s_e(sK1,sK0,sK4,sK3)
& s_e(sK1,sK2,sK4,sK5)
& sK0 != sK2
& ~ congruent(sK1,sK0,sK2,sK4,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)],[f231]) ).
fof(f307,plain,
! [X0,X1] :
( sameside(X0,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f457,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ congruent(X0,X1,X2,X3,X4,X5)
| sameside(ext(X4,X3,X1,X0),X4,X3) ),
inference(cnf_transformation,[],[f202]) ).
fof(f460,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ sameside(X8,X6,X9)
| ~ sameside(X3,X1,X4)
| ~ sameside(X5,X6,X7)
| ~ sameside(X0,X1,X2)
| ~ s_e3(X0,X1,X3,X5,X6,X8)
| congruent(X2,X1,X4,X7,X6,X9) ),
inference(cnf_transformation,[],[f203]) ).
fof(f471,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ congruent(X0,X1,X2,X3,X4,X5)
| congruent(X3,X4,X5,X0,X1,X2) ),
inference(cnf_transformation,[],[f208]) ).
fof(f477,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X1,X2,X4,X5)
| ~ s_e(X1,X0,X4,X3)
| ~ congruent(X0,X1,X2,X3,X4,X5)
| s_e(X0,X2,X3,X5) ),
inference(cnf_transformation,[],[f213]) ).
fof(f478,plain,
~ congruent(sK1,sK0,sK2,sK4,sK3,sK5),
inference(cnf_transformation,[],[f232]) ).
fof(f479,plain,
sK0 != sK2,
inference(cnf_transformation,[],[f232]) ).
fof(f480,plain,
s_e(sK1,sK2,sK4,sK5),
inference(cnf_transformation,[],[f232]) ).
fof(f481,plain,
s_e(sK1,sK0,sK4,sK3),
inference(cnf_transformation,[],[f232]) ).
fof(f482,plain,
congruent(sK0,sK1,sK2,sK3,sK4,sK5),
inference(cnf_transformation,[],[f232]) ).
fof(f498,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_e(X0,X2,X3,X5)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f219]) ).
fof(f517,plain,
! [X2,X0,X1] :
( ~ sameside(X0,X1,X2)
| X1 != X2 ),
inference(cnf_transformation,[],[f223]) ).
fof(f559,plain,
! [X2,X0,X1] :
( ~ s_e(X0,X1,X2,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f595,plain,
! [X2,X0] : ~ sameside(X0,X2,X2),
inference(equality_resolution,[],[f517]) ).
fof(f623,plain,
congruent(sK3,sK4,sK5,sK0,sK1,sK2),
inference(resolution,[],[f482,f471]) ).
fof(f630,plain,
! [X0,X1] :
( ~ congruent(X0,sK1,sK2,X1,sK4,sK5)
| ~ s_e(sK1,X0,sK4,X1)
| s_e(X0,sK2,X1,sK5) ),
inference(resolution,[],[f477,f480]) ).
fof(f632,plain,
sameside(ext(sK4,sK3,sK1,sK0),sK4,sK3),
inference(resolution,[],[f457,f482]) ).
fof(f633,plain,
sameside(ext(sK1,sK0,sK4,sK3),sK1,sK0),
inference(resolution,[],[f457,f623]) ).
fof(f667,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ s_e3(X7,X3,X2,X5,X1,X0)
| ~ sameside(X2,X3,X4)
| ~ sameside(X5,X1,X6)
| ~ sameside(X7,X3,X8)
| X0 = X1
| congruent(X8,X3,X4,X6,X1,X0) ),
inference(resolution,[],[f307,f460]) ).
fof(f675,definition,
( spl6_8
<=> sK3 = sK4 ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
fof(f676,plain,
( sK3 = sK4
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f685,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ s_e(X6,X1,X3,X4)
| ~ sameside(X3,X4,X5)
| ~ sameside(X6,X1,X7)
| X4 = X8
| congruent(X7,X1,X2,X5,X4,X8)
| ~ s_e(X6,X0,X3,X8)
| ~ s_e(X1,X0,X4,X8)
| ~ sameside(X0,X1,X2) ),
inference(resolution,[],[f667,f498]) ).
fof(f687,plain,
! [X2,X3,X0,X1,X4] :
( ~ s_e(sK0,X4,sK3,X2)
| ~ sameside(sK1,sK0,X1)
| sK3 = X2
| congruent(X1,sK0,X3,X0,sK3,X2)
| ~ s_e(sK1,X4,sK4,X2)
| ~ sameside(sK4,sK3,X0)
| ~ sameside(X4,sK0,X3) ),
inference(resolution,[],[f685,f481]) ).
fof(f829,plain,
( ~ s_e(sK1,sK0,sK4,sK3)
| s_e(sK0,sK2,sK3,sK5) ),
inference(resolution,[],[f630,f482]) ).
fof(f830,plain,
s_e(sK0,sK2,sK3,sK5),
inference(forward_subsumption_resolution,[],[f829,f481]) ).
fof(f831,plain,
! [X2,X0,X1] :
( ~ sameside(sK1,sK0,X0)
| sK3 = sK5
| congruent(X0,sK0,X1,X2,sK3,sK5)
| ~ s_e(sK1,sK2,sK4,sK5)
| ~ sameside(sK4,sK3,X2)
| ~ sameside(sK2,sK0,X1) ),
inference(resolution,[],[f830,f687]) ).
fof(f841,plain,
! [X2,X0,X1] :
( ~ sameside(sK1,sK0,X0)
| sK3 = sK5
| congruent(X0,sK0,X1,X2,sK3,sK5)
| ~ sameside(sK4,sK3,X2)
| ~ sameside(sK2,sK0,X1) ),
inference(forward_subsumption_resolution,[],[f831,f480]) ).
fof(f843,definition,
( spl6_17
<=> sK3 = sK5 ),
introduced(definition,[new_symbols(definition,[spl6_17])],[avatar_definition]) ).
fof(f844,plain,
( sK3 = sK5
| ~ spl6_17 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f846,definition,
( spl6_18
<=> ! [X2,X0,X1] :
( ~ sameside(sK1,sK0,X0)
| ~ sameside(sK2,sK0,X1)
| ~ sameside(sK4,sK3,X2)
| congruent(X0,sK0,X1,X2,sK3,sK5) ) ),
introduced(definition,[new_symbols(definition,[spl6_18])],[avatar_definition]) ).
fof(f847,plain,
( ! [X2,X0,X1] :
( ~ sameside(sK4,sK3,X2)
| ~ sameside(sK2,sK0,X1)
| ~ sameside(sK1,sK0,X0)
| congruent(X0,sK0,X1,X2,sK3,sK5) )
| ~ spl6_18 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f848,plain,
( spl6_17
| spl6_18 ),
inference(avatar_split_clause,[],[f841,f846,f843]) ).
fof(f868,plain,
( s_e(sK0,sK2,sK3,sK3)
| ~ spl6_17 ),
inference(superposition,[],[f830,f844]) ).
fof(f906,plain,
( sK0 = sK2
| ~ spl6_17 ),
inference(resolution,[],[f868,f559]) ).
fof(f908,plain,
( $false
| ~ spl6_17 ),
inference(forward_subsumption_resolution,[],[f906,f479]) ).
fof(f909,plain,
~ spl6_17,
inference(avatar_contradiction_clause,[],[f908]) ).
fof(f910,plain,
( ! [X0,X1] :
( ~ sameside(sK2,sK0,X0)
| ~ sameside(sK1,sK0,X1)
| congruent(X1,sK0,X0,sK4,sK3,sK5)
| sK3 = sK4 )
| ~ spl6_18 ),
inference(resolution,[],[f847,f307]) ).
fof(f912,definition,
( spl6_19
<=> ! [X0,X1] :
( ~ sameside(sK2,sK0,X0)
| ~ sameside(sK1,sK0,X1)
| congruent(X1,sK0,X0,sK4,sK3,sK5) ) ),
introduced(definition,[new_symbols(definition,[spl6_19])],[avatar_definition]) ).
fof(f913,plain,
( ! [X0,X1] :
( ~ sameside(sK2,sK0,X0)
| ~ sameside(sK1,sK0,X1)
| congruent(X1,sK0,X0,sK4,sK3,sK5) )
| ~ spl6_19 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f914,plain,
( spl6_8
| spl6_19
| ~ spl6_18 ),
inference(avatar_split_clause,[],[f910,f846,f912,f675]) ).
fof(f922,plain,
( sameside(ext(sK4,sK4,sK1,sK0),sK4,sK4)
| ~ spl6_8 ),
inference(superposition,[],[f632,f676]) ).
fof(f937,plain,
( $false
| ~ spl6_8 ),
inference(forward_subsumption_resolution,[],[f922,f595]) ).
fof(f938,plain,
~ spl6_8,
inference(avatar_contradiction_clause,[],[f937]) ).
fof(f1015,plain,
( ! [X0] :
( ~ sameside(sK1,sK0,X0)
| congruent(X0,sK0,sK2,sK4,sK3,sK5)
| sK0 = sK2 )
| ~ spl6_19 ),
inference(resolution,[],[f913,f307]) ).
fof(f1016,plain,
( ! [X0] :
( ~ sameside(sK1,sK0,X0)
| congruent(X0,sK0,sK2,sK4,sK3,sK5) )
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f1015,f479]) ).
fof(f1017,plain,
( congruent(sK1,sK0,sK2,sK4,sK3,sK5)
| sK0 = sK1
| ~ spl6_19 ),
inference(resolution,[],[f1016,f307]) ).
fof(f1018,plain,
( sK0 = sK1
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f1017,f478]) ).
fof(f1028,plain,
( sameside(ext(sK0,sK0,sK4,sK3),sK0,sK0)
| ~ spl6_19 ),
inference(superposition,[],[f633,f1018]) ).
fof(f1049,plain,
( $false
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f1028,f595]) ).
fof(f1050,plain,
~ spl6_19,
inference(avatar_contradiction_clause,[],[f1049]) ).
cnf(s6,plain,
( spl6_17
| spl6_18 ),
inference(sat_conversion,[],[f848]) ).
cnf(s8,plain,
~ spl6_17,
inference(sat_conversion,[],[f909]) ).
cnf(s9,plain,
( spl6_8
| ~ spl6_18
| spl6_19 ),
inference(sat_conversion,[],[f914]) ).
cnf(s11,plain,
~ spl6_8,
inference(sat_conversion,[],[f938]) ).
cnf(s16,plain,
~ spl6_19,
inference(sat_conversion,[],[f1050]) ).
cnf(s18,plain,
~ spl6_18,
inference(rat,[],[s9,s16,s11]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s6,s18,s8]) ).
fof(f1051,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO536+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n013.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 08:27:06 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 8.61/2.06 % (4110571)Detected formulas, will run a generic FOF schedule.
% 8.61/2.06 % (4110582)dis-21_1_sil=8000:lcm=predicate:random_seed=2709582679: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)
% 8.61/2.06 % (4110582)Instruction limit reached!
% 8.61/2.06 % (4110582)------------------------------
% 8.61/2.06 % (4110582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.06 % (4110582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.06 % (4110582)CaDiCaL version: 2.1.3
% 8.61/2.06 % (4110582)Termination reason: Instruction limit
% 8.61/2.06 % (4110582)Termination phase: Saturation
% 8.61/2.06 % (4110582)Time elapsed: 0.043 s
% 8.61/2.06 % (4110582)Peak memory usage: 89 MB
% 8.61/2.06 % (4110582)Instructions burned: 130 (million)
% 8.61/2.06 % (4110579)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3492147859:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.61/2.06 % (4110581)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2344886597:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.61/2.06 % (4110578)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=3919691744:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.61/2.06 % (4110576)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=1441669852:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.61/2.06 % (4110580)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2847442213:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.61/2.06 % (4110577)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=3686107748:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.61/2.06 % (4110579)Refutation not found, incomplete strategy
% 8.61/2.06 % (4110579)------------------------------
% 8.61/2.06 % (4110579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.06 % (4110579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.06 % (4110579)CaDiCaL version: 2.1.3
% 8.61/2.06 % (4110579)Termination reason: Refutation not found, incomplete strategy
% 8.61/2.06 % (4110579)Time elapsed: 0.012 s
% 8.61/2.06 % (4110579)Peak memory usage: 89 MB
% 8.61/2.06 % (4110579)Instructions burned: 18 (million)
% 8.61/2.06 % (4110580)Instruction limit reached!
% 8.61/2.06 % (4110580)------------------------------
% 8.61/2.06 % (4110580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.06 % (4110580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.06 % (4110580)CaDiCaL version: 2.1.3
% 8.61/2.06 % (4110580)Termination reason: Instruction limit
% 8.61/2.06 % (4110580)Termination phase: Saturation
% 8.61/2.06 % (4110580)Time elapsed: 0.068 s
% 8.61/2.06 % (4110580)Peak memory usage: 88 MB
% 8.61/2.06 % (4110580)Instructions burned: 120 (million)
% 8.61/2.06 % (4110581)Instruction limit reached!
% 8.61/2.06 % (4110581)------------------------------
% 8.61/2.06 % (4110581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.06 % (4110581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.06 % (4110581)CaDiCaL version: 2.1.3
% 8.61/2.06 % (4110581)Termination reason: Instruction limit
% 8.61/2.06 % (4110581)Termination phase: Saturation
% 8.61/2.06 % (4110581)Time elapsed: 0.083 s
% 8.61/2.06 % (4110581)Peak memory usage: 90 MB
% 8.61/2.06 % (4110581)Instructions burned: 140 (million)
% 8.61/2.06 % (4110584)lrs+10_1_sil=8000:sp=occurrence:random_seed=325733872:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.61/2.06 % (4110584)Instruction limit reached!
% 8.61/2.06 % (4110584)------------------------------
% 8.61/2.06 % (4110584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.06 % (4110584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.06 % (4110584)CaDiCaL version: 2.1.3
% 8.61/2.06 % (4110584)Termination reason: Instruction limit
% 8.61/2.06 % (4110584)Termination phase: Saturation
% 8.61/2.06 % (4110584)Time elapsed: 0.088 s
% 8.61/2.06 % (4110584)Peak memory usage: 91 MB
% 8.61/2.06 % (4110584)Instructions burned: 287 (million)
% 8.61/2.06 % (4110592)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2357417638:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.61/2.06 % (4110591)lrs+10_1_sil=32000:urr=on:br=off:random_seed=938010512:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.61/2.06 % (4110591)Refutation not found, incomplete strategy
% 8.61/2.06 % (4110591)------------------------------
% 8.61/2.06 % (4110591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.06 % (4110591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.06 % (4110591)CaDiCaL version: 2.1.3
% 8.61/2.06 % (4110591)Termination reason: Refutation not found, incomplete strategy
% 8.61/2.06 % (4110591)Time elapsed: 0.013 s
% 8.61/2.06 % (4110591)Peak memory usage: 88 MB
% 8.61/2.06 % (4110591)Instructions burned: 24 (million)
% 8.61/2.06 % (4110579)------------------------------
% 8.61/2.06 % (4110579)------------------------------
% 8.61/2.06 % (4110596)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=3020982396:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.61/2.06 % (4110596)Instruction limit reached!
% 8.61/2.06 % (4110596)------------------------------
% 8.61/2.06 % (4110596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.06 % (4110596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.06 % (4110596)CaDiCaL version: 2.1.3
% 8.61/2.06 % (4110596)Termination reason: Instruction limit
% 8.61/2.06 % (4110596)Termination phase: Saturation
% 8.61/2.06 % (4110596)Time elapsed: 0.065 s
% 8.61/2.06 % (4110596)Peak memory usage: 89 MB
% 8.61/2.06 % (4110596)Instructions burned: 249 (million)
% 8.61/2.06 % (4110592)Instruction limit reached!
% 8.61/2.06 % (4110592)------------------------------
% 8.61/2.06 % (4110592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.06 % (4110592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.06 % (4110592)CaDiCaL version: 2.1.3
% 8.61/2.06 % (4110592)Termination reason: Instruction limit
% 8.61/2.06 % (4110592)Termination phase: Saturation
% 8.61/2.06 % (4110592)Time elapsed: 0.195 s
% 8.61/2.06 % (4110592)Peak memory usage: 91 MB
% 8.61/2.06 % (4110592)Instructions burned: 325 (million)
% 8.61/2.06 % (4110597)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3964382184:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.61/2.06 % (4110591)------------------------------
% 8.61/2.06 % (4110591)------------------------------
% 8.61/2.06 % (4110599)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1497446582:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 8.61/2.06 % (4110597)Instruction limit reached!
% 8.61/2.06 % (4110597)------------------------------
% 8.61/2.06 % (4110597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.06 % (4110597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.06 % (4110597)CaDiCaL version: 2.1.3
% 8.61/2.06 % (4110597)Termination reason: Instruction limit
% 8.61/2.06 % (4110597)Termination phase: Saturation
% 8.61/2.06 % (4110597)Time elapsed: 0.162 s
% 8.61/2.06 % (4110597)Peak memory usage: 89 MB
% 8.61/2.06 % (4110597)Instructions burned: 294 (million)
% 8.61/2.06 % (4110601)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1371747454:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.61/2.06 % (4110602)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=250664969:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 8.61/2.06 % (4110601)Instruction limit reached!
% 8.61/2.06 % (4110601)------------------------------
% 8.61/2.06 % (4110601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.06 % (4110601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.06 % (4110601)CaDiCaL version: 2.1.3
% 8.61/2.06 % (4110601)Termination reason: Instruction limit
% 8.61/2.06 % (4110601)Termination phase: Saturation
% 8.61/2.06 % (4110601)Time elapsed: 0.066 s
% 8.61/2.06 % (4110601)Peak memory usage: 90 MB
% 8.61/2.06 % (4110601)Instructions burned: 115 (million)
% 8.61/2.06 % (4110602)Instruction limit reached!
% 8.61/2.06 % (4110602)------------------------------
% 8.61/2.06 % (4110602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.06 % (4110602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.06 % (4110602)CaDiCaL version: 2.1.3
% 8.61/2.06 % (4110602)Termination reason: Instruction limit
% 8.61/2.06 % (4110602)Termination phase: Saturation
% 8.61/2.06 % (4110602)Time elapsed: 0.069 s
% 8.61/2.06 % (4110602)Peak memory usage: 89 MB
% 8.61/2.06 % (4110602)Instructions burned: 129 (million)
% 8.61/2.06 % (4110577)First to succeed.
% 8.61/2.06 % (4110577)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4110571"
% 8.61/2.06 % (4110605)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=158969738:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.61/2.06 % (4110607)lrs+10_1_sil=8000:sp=occurrence:random_seed=1031676922:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.61/2.06 % (4110605)Instruction limit reached!
% 8.61/2.06 % (4110605)------------------------------
% 8.61/2.06 % (4110605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.06 % (4110605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.06 % (4110605)CaDiCaL version: 2.1.3
% 8.61/2.06 % (4110605)Termination reason: Instruction limit
% 8.61/2.06 % (4110605)Termination phase: Saturation
% 8.61/2.06 % (4110605)Time elapsed: 0.056 s
% 8.61/2.06 % (4110605)Peak memory usage: 89 MB
% 8.61/2.06 % (4110605)Instructions burned: 116 (million)
% 8.61/2.06 % (4110608)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1270924082:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 8.61/2.06 % (4110611)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=80086408:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 8.61/2.06 % (4110599)Also succeeded, but the first one will report.
% 8.61/2.06 % (4110577)Refutation found. Thanks to Tanya!
% 8.61/2.06 % SZS status Theorem for theBenchmark
% 8.61/2.06 % SZS output start Proof for theBenchmark
% See solution above
% 8.95/2.16 % (4110577)------------------------------
% 8.95/2.16 % (4110577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.95/2.16 % (4110577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.95/2.16 % (4110577)CaDiCaL version: 2.1.3
% 8.95/2.16 % (4110577)Termination reason: Refutation
% 8.95/2.16 % (4110577)Time elapsed: 0.755 s
% 8.95/2.16 % (4110577)Peak memory usage: 132 MB
% 8.95/2.16 % (4110577)Instructions burned: 1154 (million)
% 8.95/2.16 % (4110577)------------------------------
% 8.95/2.16 % (4110577)------------------------------
% 8.95/2.16 % (4110571)Success in time 1.2 s
% 8.95/2.16 % Vampire exiting
%------------------------------------------------------------------------------