%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO506+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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:49 AM UTC 2026
% Result : Theorem 15.22s 3.01s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 5
% Syntax : Number of formulae : 57 ( 18 unt; 0 def)
% Number of atoms : 210 ( 71 equ)
% Maximal formula atoms : 30 ( 3 avg)
% Number of connectives : 242 ( 89 ~; 137 |; 16 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-5 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-5 aty)
% Number of variables : 79 ( 72 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f89,axiom,
! [X0,X1,X2,X3,X4] :
( X0 = X1
| X2 = X3
| ~ s_col(X2,X3,X0)
| ~ s_col(X2,X3,X1)
| ~ s_col(X2,X3,X4)
| s_col(X0,X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_18) ).
fof(f118,axiom,
! [X0,X1,X2] :
( ~ s_r(X0,X1,X2)
| s_r(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_2) ).
fof(f119,axiom,
! [X0,X1,X2,X3] :
( ~ s_r(X0,X1,X2)
| X0 = X1
| ~ s_col(X1,X0,X3)
| s_r(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_3) ).
fof(f130,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( X0 = X1
| X2 = X3
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,X5)
| ~ s_col(X2,X3,X6)
| X4 = X5
| X4 = X6
| ~ s_r(X5,X4,X6)
| perpAt(X0,X1,X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_13b) ).
fof(f131,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( X0 = X1
| X2 = X3
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,X5)
| ~ s_col(X2,X3,X6)
| X4 = X5
| X4 = X6
| ~ s_r(X5,X4,X6)
| perpAt(X0,X1,X4,X2,X3) ),
inference(negated_conjecture,[status(cth)],[f130]) ).
fof(f143,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ~ perpAt(X0,X1,X2,X3,X4)
| s_col(X0,X1,X2) )
& ( ~ perpAt(X0,X1,X2,X3,X4)
| s_col(X3,X4,X2) )
& ( ~ perpAt(X0,X1,X2,X3,X4)
| X0 != X1 )
& ( ~ perpAt(X0,X1,X2,X3,X4)
| X3 != X4 )
& ( ~ perpAt(X0,X1,X2,X3,X4)
| ~ s_col(X0,X1,X5)
| ~ s_col(X3,X4,X6)
| s_r(X5,X2,X6) )
& ( perpAt(X0,X1,X2,X3,X4)
| X0 = X1
| X3 = X4
| ~ s_col(X0,X1,X2)
| ~ s_col(X3,X4,X2)
| s_col(X0,X1,f811(X0,X1,X3,X4,X2)) )
& ( perpAt(X0,X1,X2,X3,X4)
| X0 = X1
| X3 = X4
| ~ s_col(X0,X1,X2)
| ~ s_col(X3,X4,X2)
| s_col(X3,X4,g811(X0,X1,X3,X4,X2)) )
& ( perpAt(X0,X1,X2,X3,X4)
| X0 = X1
| X3 = X4
| ~ s_col(X0,X1,X2)
| ~ s_col(X3,X4,X2)
| ~ s_r(f811(X0,X1,X3,X4,X2),X2,g811(X0,X1,X3,X4,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn8_11a) ).
fof(f145,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( X0 != X1
& X2 != X3
& s_col(X2,X3,X4)
& s_col(X0,X1,X4)
& s_col(X0,X1,X5)
& s_col(X2,X3,X6)
& X4 != X5
& X4 != X6
& s_r(X5,X4,X6)
& ~ perpAt(X0,X1,X4,X2,X3) ),
inference(ennf_transformation,[],[f131]) ).
fof(f146,plain,
~ perpAt(sK0,sK1,sK4,sK2,sK3),
inference(cnf_transformation,[],[f145]) ).
fof(f147,plain,
s_r(sK5,sK4,sK6),
inference(cnf_transformation,[],[f145]) ).
fof(f148,plain,
sK4 != sK6,
inference(cnf_transformation,[],[f145]) ).
fof(f149,plain,
sK4 != sK5,
inference(cnf_transformation,[],[f145]) ).
fof(f150,plain,
s_col(sK2,sK3,sK6),
inference(cnf_transformation,[],[f145]) ).
fof(f151,plain,
s_col(sK0,sK1,sK5),
inference(cnf_transformation,[],[f145]) ).
fof(f152,plain,
s_col(sK0,sK1,sK4),
inference(cnf_transformation,[],[f145]) ).
fof(f153,plain,
s_col(sK2,sK3,sK4),
inference(cnf_transformation,[],[f145]) ).
fof(f154,plain,
sK2 != sK3,
inference(cnf_transformation,[],[f145]) ).
fof(f155,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f145]) ).
fof(f161,plain,
! [X2,X3,X0,X1,X4] :
( ~ s_col(X2,X3,X4)
| s_col(X0,X1,X4)
| ~ s_col(X2,X3,X1)
| ~ s_col(X2,X3,X0)
| X2 = X3
| X0 = X1 ),
inference(cnf_transformation,[],[f89]) ).
fof(f183,plain,
! [X2,X3,X0,X1] :
( ~ s_r(X0,X1,X2)
| ~ s_col(X1,X0,X3)
| X0 = X1
| s_r(X3,X1,X2) ),
inference(cnf_transformation,[],[f119]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ s_r(X0,X1,X2)
| s_r(X2,X1,X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f192,plain,
! [X2,X3,X0,X1,X4] :
( perpAt(X0,X1,X2,X3,X4)
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2)
| X3 = X4
| X0 = X1
| s_col(X0,X1,f811(X0,X1,X3,X4,X2)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f193,plain,
! [X2,X3,X0,X1,X4] :
( perpAt(X0,X1,X2,X3,X4)
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2)
| X3 = X4
| X0 = X1
| s_col(X3,X4,g811(X0,X1,X3,X4,X2)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f194,plain,
! [X2,X3,X0,X1,X4] :
( ~ s_r(f811(X0,X1,X3,X4,X2),X2,g811(X0,X1,X3,X4,X2))
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2)
| X3 = X4
| X0 = X1
| perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f143]) ).
fof(f216,plain,
s_r(sK6,sK4,sK5),
inference(resolution,[],[f147,f184]) ).
fof(f322,plain,
( ~ s_col(sK2,sK3,sK4)
| ~ s_col(sK0,sK1,sK4)
| sK2 = sK3
| sK0 = sK1
| s_col(sK0,sK1,f811(sK0,sK1,sK2,sK3,sK4)) ),
inference(resolution,[],[f146,f192]) ).
fof(f323,plain,
( ~ s_col(sK2,sK3,sK4)
| ~ s_col(sK0,sK1,sK4)
| sK2 = sK3
| sK0 = sK1
| s_col(sK2,sK3,g811(sK0,sK1,sK2,sK3,sK4)) ),
inference(resolution,[],[f146,f193]) ).
fof(f324,plain,
( ~ s_col(sK0,sK1,sK4)
| sK2 = sK3
| sK0 = sK1
| s_col(sK2,sK3,g811(sK0,sK1,sK2,sK3,sK4)) ),
inference(forward_subsumption_resolution,[],[f323,f153]) ).
fof(f325,plain,
( ~ s_col(sK0,sK1,sK4)
| sK2 = sK3
| sK0 = sK1
| s_col(sK0,sK1,f811(sK0,sK1,sK2,sK3,sK4)) ),
inference(forward_subsumption_resolution,[],[f322,f153]) ).
fof(f326,plain,
( sK2 = sK3
| sK0 = sK1
| s_col(sK2,sK3,g811(sK0,sK1,sK2,sK3,sK4)) ),
inference(forward_subsumption_resolution,[],[f324,f152]) ).
fof(f327,plain,
( sK2 = sK3
| sK0 = sK1
| s_col(sK0,sK1,f811(sK0,sK1,sK2,sK3,sK4)) ),
inference(forward_subsumption_resolution,[],[f325,f152]) ).
fof(f328,plain,
( sK0 = sK1
| s_col(sK2,sK3,g811(sK0,sK1,sK2,sK3,sK4)) ),
inference(forward_subsumption_resolution,[],[f326,f154]) ).
fof(f329,plain,
( sK0 = sK1
| s_col(sK0,sK1,f811(sK0,sK1,sK2,sK3,sK4)) ),
inference(forward_subsumption_resolution,[],[f327,f154]) ).
fof(f330,plain,
s_col(sK2,sK3,g811(sK0,sK1,sK2,sK3,sK4)),
inference(forward_subsumption_resolution,[],[f328,f155]) ).
fof(f331,plain,
s_col(sK0,sK1,f811(sK0,sK1,sK2,sK3,sK4)),
inference(forward_subsumption_resolution,[],[f329,f155]) ).
fof(f333,plain,
! [X0] :
( ~ s_col(sK4,sK6,X0)
| sK4 = sK6
| s_r(X0,sK4,sK5) ),
inference(resolution,[],[f216,f183]) ).
fof(f340,plain,
! [X0] :
( ~ s_col(sK4,sK6,X0)
| s_r(X0,sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f333,f148]) ).
fof(f701,plain,
! [X0,X1] :
( s_col(X0,X1,g811(sK0,sK1,sK2,sK3,sK4))
| ~ s_col(sK2,sK3,X1)
| ~ s_col(sK2,sK3,X0)
| sK2 = sK3
| X0 = X1 ),
inference(resolution,[],[f330,f161]) ).
fof(f710,plain,
! [X0,X1] :
( s_col(X0,X1,g811(sK0,sK1,sK2,sK3,sK4))
| ~ s_col(sK2,sK3,X1)
| ~ s_col(sK2,sK3,X0)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f701,f154]) ).
fof(f738,plain,
! [X0,X1] :
( s_col(X0,X1,f811(sK0,sK1,sK2,sK3,sK4))
| ~ s_col(sK0,sK1,X1)
| ~ s_col(sK0,sK1,X0)
| sK0 = sK1
| X0 = X1 ),
inference(resolution,[],[f331,f161]) ).
fof(f747,plain,
! [X0,X1] :
( s_col(X0,X1,f811(sK0,sK1,sK2,sK3,sK4))
| ~ s_col(sK0,sK1,X1)
| ~ s_col(sK0,sK1,X0)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f738,f155]) ).
fof(f1365,plain,
( ~ s_col(sK2,sK3,sK6)
| ~ s_col(sK2,sK3,sK4)
| sK4 = sK6
| s_r(g811(sK0,sK1,sK2,sK3,sK4),sK4,sK5) ),
inference(resolution,[],[f710,f340]) ).
fof(f1369,plain,
( ~ s_col(sK2,sK3,sK4)
| sK4 = sK6
| s_r(g811(sK0,sK1,sK2,sK3,sK4),sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f1365,f150]) ).
fof(f1382,plain,
( sK4 = sK6
| s_r(g811(sK0,sK1,sK2,sK3,sK4),sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f1369,f153]) ).
fof(f1451,plain,
s_r(g811(sK0,sK1,sK2,sK3,sK4),sK4,sK5),
inference(forward_subsumption_resolution,[],[f1382,f148]) ).
fof(f1463,plain,
s_r(sK5,sK4,g811(sK0,sK1,sK2,sK3,sK4)),
inference(resolution,[],[f1451,f184]) ).
fof(f1471,plain,
! [X0] :
( ~ s_col(sK4,sK5,X0)
| sK4 = sK5
| s_r(X0,sK4,g811(sK0,sK1,sK2,sK3,sK4)) ),
inference(resolution,[],[f1463,f183]) ).
fof(f1475,plain,
! [X0] :
( s_r(X0,sK4,g811(sK0,sK1,sK2,sK3,sK4))
| ~ s_col(sK4,sK5,X0) ),
inference(forward_subsumption_resolution,[],[f1471,f149]) ).
fof(f1482,plain,
( ~ s_col(sK4,sK5,f811(sK0,sK1,sK2,sK3,sK4))
| ~ s_col(sK2,sK3,sK4)
| ~ s_col(sK0,sK1,sK4)
| sK2 = sK3
| sK0 = sK1
| perpAt(sK0,sK1,sK4,sK2,sK3) ),
inference(resolution,[],[f1475,f194]) ).
fof(f1483,plain,
( ~ s_col(sK4,sK5,f811(sK0,sK1,sK2,sK3,sK4))
| ~ s_col(sK0,sK1,sK4)
| sK2 = sK3
| sK0 = sK1
| perpAt(sK0,sK1,sK4,sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f1482,f153]) ).
fof(f1484,plain,
( ~ s_col(sK4,sK5,f811(sK0,sK1,sK2,sK3,sK4))
| sK2 = sK3
| sK0 = sK1
| perpAt(sK0,sK1,sK4,sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f1483,f152]) ).
fof(f1485,plain,
( ~ s_col(sK4,sK5,f811(sK0,sK1,sK2,sK3,sK4))
| sK0 = sK1
| perpAt(sK0,sK1,sK4,sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f1484,f154]) ).
fof(f1486,plain,
( ~ s_col(sK4,sK5,f811(sK0,sK1,sK2,sK3,sK4))
| perpAt(sK0,sK1,sK4,sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f1485,f155]) ).
fof(f1487,plain,
~ s_col(sK4,sK5,f811(sK0,sK1,sK2,sK3,sK4)),
inference(forward_subsumption_resolution,[],[f1486,f146]) ).
fof(f1565,plain,
( ~ s_col(sK0,sK1,sK5)
| ~ s_col(sK0,sK1,sK4)
| sK4 = sK5 ),
inference(resolution,[],[f747,f1487]) ).
fof(f1573,plain,
( ~ s_col(sK0,sK1,sK4)
| sK4 = sK5 ),
inference(forward_subsumption_resolution,[],[f1565,f151]) ).
fof(f1588,plain,
sK4 = sK5,
inference(forward_subsumption_resolution,[],[f1573,f152]) ).
fof(f1671,plain,
$false,
inference(forward_subsumption_resolution,[],[f1588,f149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO506+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n006.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 08:21:41 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 12.82/2.51 % (2682352)Detected formulas, will run a generic FOF schedule.
% 12.82/2.51 % (2682396)dis-21_1_sil=8000:lcm=predicate:random_seed=3013056837: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)
% 12.82/2.51 % (2682395)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=253384963:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.82/2.51 % (2682394)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2834479690:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.82/2.51 % (2682392)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=3536777361:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.82/2.51 % (2682390)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=597371561:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.82/2.51 % (2682391)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=2775522385:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.82/2.51 % (2682393)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=661087179:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.82/2.51 % (2682396)Instruction limit reached!
% 12.82/2.51 % (2682396)------------------------------
% 12.82/2.51 % (2682396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.82/2.51 % (2682396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.51 % (2682396)CaDiCaL version: 2.1.3
% 12.82/2.51 % (2682396)Termination reason: Instruction limit
% 12.82/2.51 % (2682396)Termination phase: Saturation
% 12.82/2.51 % (2682396)Time elapsed: 0.043 s
% 12.82/2.51 % (2682396)Peak memory usage: 90 MB
% 12.82/2.51 % (2682396)Instructions burned: 132 (million)
% 12.82/2.51 % (2682393)Instruction limit reached!
% 12.82/2.51 % (2682393)------------------------------
% 12.82/2.51 % (2682393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.82/2.51 % (2682393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.51 % (2682393)CaDiCaL version: 2.1.3
% 12.82/2.51 % (2682393)Termination reason: Instruction limit
% 12.82/2.51 % (2682393)Termination phase: Saturation
% 12.82/2.51 % (2682393)Time elapsed: 0.071 s
% 12.82/2.51 % (2682393)Peak memory usage: 89 MB
% 12.82/2.51 % (2682393)Instructions burned: 110 (million)
% 12.82/2.51 % (2682394)Instruction limit reached!
% 12.82/2.51 % (2682394)------------------------------
% 12.82/2.51 % (2682394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.82/2.51 % (2682394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.51 % (2682394)CaDiCaL version: 2.1.3
% 12.82/2.51 % (2682394)Termination reason: Instruction limit
% 12.82/2.51 % (2682394)Termination phase: Saturation
% 12.82/2.51 % (2682394)Time elapsed: 0.072 s
% 12.82/2.51 % (2682394)Peak memory usage: 88 MB
% 12.82/2.51 % (2682394)Instructions burned: 120 (million)
% 12.82/2.51 % (2682395)Instruction limit reached!
% 12.82/2.51 % (2682395)------------------------------
% 12.82/2.51 % (2682395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.82/2.51 % (2682395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.82/2.51 % (2682395)CaDiCaL version: 2.1.3
% 12.82/2.51 % (2682395)Termination reason: Instruction limit
% 12.82/2.51 % (2682395)Termination phase: Saturation
% 12.82/2.51 % (2682395)Time elapsed: 0.097 s
% 12.82/2.51 % (2682395)Peak memory usage: 89 MB
% 12.82/2.51 % (2682395)Instructions burned: 140 (million)
% 12.82/2.51 % (2682405)lrs+10_1_sil=8000:sp=occurrence:random_seed=2569442037:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 12.82/2.51 % (2682419)lrs+1011_1_sil=32000:sp=occurrence:random_seed=605011252:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.82/2.51 % (2682418)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2402627473:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.82/2.51 % (2682420)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=2967128123:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 12.82/2.51 % (2682418)Instruction limit reached!
% 15.22/3.01 % (2682418)------------------------------
% 15.22/3.01 % (2682418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/3.01 % (2682418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/3.01 % (2682418)CaDiCaL version: 2.1.3
% 15.22/3.01 % (2682418)Termination reason: Instruction limit
% 15.22/3.01 % (2682418)Termination phase: Saturation
% 15.22/3.01 % (2682418)Time elapsed: 0.071 s
% 15.22/3.01 % (2682418)Peak memory usage: 88 MB
% 15.22/3.01 % (2682418)Instructions burned: 157 (million)
% 15.22/3.01 % (2682405)Instruction limit reached!
% 15.22/3.01 % (2682405)------------------------------
% 15.22/3.01 % (2682405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/3.01 % (2682405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/3.01 % (2682405)CaDiCaL version: 2.1.3
% 15.22/3.01 % (2682405)Termination reason: Instruction limit
% 15.22/3.01 % (2682405)Termination phase: Saturation
% 15.22/3.01 % (2682405)Time elapsed: 0.145 s
% 15.22/3.01 % (2682405)Peak memory usage: 91 MB
% 15.22/3.01 % (2682405)Instructions burned: 288 (million)
% 15.22/3.01 % (2682420)Instruction limit reached!
% 15.22/3.01 % (2682420)------------------------------
% 15.22/3.01 % (2682420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/3.01 % (2682420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/3.01 % (2682420)CaDiCaL version: 2.1.3
% 15.22/3.01 % (2682420)Termination reason: Instruction limit
% 15.22/3.01 % (2682420)Termination phase: Saturation
% 15.22/3.01 % (2682420)Time elapsed: 0.115 s
% 15.22/3.01 % (2682420)Peak memory usage: 89 MB
% 15.22/3.01 % (2682420)Instructions burned: 250 (million)
% 15.22/3.01 % (2682419)Instruction limit reached!
% 15.22/3.01 % (2682419)------------------------------
% 15.22/3.01 % (2682419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/3.01 % (2682419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/3.01 % (2682419)CaDiCaL version: 2.1.3
% 15.22/3.01 % (2682419)Termination reason: Instruction limit
% 15.22/3.01 % (2682419)Termination phase: Saturation
% 15.22/3.01 % (2682419)Time elapsed: 0.190 s
% 15.22/3.01 % (2682419)Peak memory usage: 90 MB
% 15.22/3.01 % (2682419)Instructions burned: 326 (million)
% 15.22/3.01 % (2682426)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1529333658:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 15.22/3.01 % (2682425)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3391210455:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 15.22/3.01 % (2682427)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3593143924:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 15.22/3.01 % (2682427)Instruction limit reached!
% 15.22/3.01 % (2682427)------------------------------
% 15.22/3.01 % (2682427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/3.01 % (2682427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/3.01 % (2682427)CaDiCaL version: 2.1.3
% 15.22/3.01 % (2682427)Termination reason: Instruction limit
% 15.22/3.01 % (2682427)Termination phase: Saturation
% 15.22/3.01 % (2682427)Time elapsed: 0.070 s
% 15.22/3.01 % (2682427)Peak memory usage: 90 MB
% 15.22/3.01 % (2682427)Instructions burned: 115 (million)
% 15.22/3.01 % (2682425)Instruction limit reached!
% 15.22/3.01 % (2682425)------------------------------
% 15.22/3.01 % (2682425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/3.01 % (2682425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/3.01 % (2682425)CaDiCaL version: 2.1.3
% 15.22/3.01 % (2682425)Termination reason: Instruction limit
% 15.22/3.01 % (2682425)Termination phase: Saturation
% 15.22/3.01 % (2682425)Time elapsed: 0.192 s
% 15.22/3.01 % (2682425)Peak memory usage: 89 MB
% 15.22/3.01 % (2682425)Instructions burned: 294 (million)
% 15.22/3.01 % (2682428)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1900354592:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 15.22/3.01 % (2682428)Instruction limit reached!
% 15.22/3.01 % (2682428)------------------------------
% 15.22/3.01 % (2682428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/3.01 % (2682428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/3.01 % (2682428)CaDiCaL version: 2.1.3
% 15.22/3.01 % (2682428)Termination reason: Instruction limit
% 15.22/3.01 % (2682428)Termination phase: Saturation
% 15.22/3.01 % (2682428)Time elapsed: 0.106 s
% 15.22/3.01 % (2682428)Peak memory usage: 89 MB
% 15.22/3.01 % (2682428)Instructions burned: 127 (million)
% 15.22/3.01 % (2682440)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=685589894:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 15.22/3.01 % (2682441)lrs+10_1_sil=8000:sp=occurrence:random_seed=349814160:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 15.22/3.01 % (2682440)Instruction limit reached!
% 15.22/3.01 % (2682440)------------------------------
% 15.22/3.01 % (2682440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/3.01 % (2682440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/3.01 % (2682440)CaDiCaL version: 2.1.3
% 15.22/3.01 % (2682440)Termination reason: Instruction limit
% 15.22/3.01 % (2682440)Termination phase: Saturation
% 15.22/3.01 % (2682440)Time elapsed: 0.100 s
% 15.22/3.01 % (2682440)Peak memory usage: 89 MB
% 15.22/3.01 % (2682440)Instructions burned: 114 (million)
% 15.22/3.01 % (2682450)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2623471695:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 15.22/3.01 % (2682455)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1996662434:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 15.22/3.01 % (2682450)Instruction limit reached!
% 15.22/3.01 % (2682450)------------------------------
% 15.22/3.01 % (2682450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/3.01 % (2682450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/3.01 % (2682450)CaDiCaL version: 2.1.3
% 15.22/3.01 % (2682450)Termination reason: Instruction limit
% 15.22/3.01 % (2682450)Termination phase: Saturation
% 15.22/3.01 % (2682450)Time elapsed: 0.301 s
% 15.22/3.01 % (2682450)Peak memory usage: 92 MB
% 15.22/3.01 % (2682450)Instructions burned: 437 (million)
% 15.22/3.01 % (2682426)Instruction limit reached!
% 15.22/3.01 % (2682426)------------------------------
% 15.22/3.01 % (2682426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/3.01 % (2682426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/3.01 % (2682426)CaDiCaL version: 2.1.3
% 15.22/3.01 % (2682426)Termination reason: Instruction limit
% 15.22/3.01 % (2682426)Termination phase: Saturation
% 15.22/3.01 % (2682426)Time elapsed: 1.031 s
% 15.22/3.01 % (2682426)Peak memory usage: 138 MB
% 15.22/3.01 % (2682426)Instructions burned: 2353 (million)
% 15.22/3.01 % (2682461)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2749494793:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 15.22/3.01 % (2682441)Instruction limit reached!
% 15.22/3.01 % (2682441)------------------------------
% 15.22/3.01 % (2682441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/3.01 % (2682441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/3.01 % (2682441)CaDiCaL version: 2.1.3
% 15.22/3.01 % (2682441)Termination reason: Instruction limit
% 15.22/3.01 % (2682441)Termination phase: Saturation
% 15.22/3.01 % (2682441)Time elapsed: 0.608 s
% 15.22/3.01 % (2682441)Peak memory usage: 94 MB
% 15.22/3.01 % (2682441)Instructions burned: 908 (million)
% 15.22/3.01 % (2682461)Instruction limit reached!
% 15.22/3.01 % (2682461)------------------------------
% 15.22/3.01 % (2682461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/3.01 % (2682461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/3.01 % (2682461)CaDiCaL version: 2.1.3
% 15.22/3.01 % (2682461)Termination reason: Instruction limit
% 15.22/3.01 % (2682461)Termination phase: Saturation
% 15.22/3.01 % (2682461)Time elapsed: 0.074 s
% 15.22/3.01 % (2682461)Peak memory usage: 90 MB
% 15.22/3.01 % (2682461)Instructions burned: 135 (million)
% 15.22/3.01 % (2682463)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4243502477:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 15.22/3.01 % (2682465)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4258581274:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 15.22/3.01 % (2682466)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=510777415:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 15.22/3.01 % (2682463)Instruction limit reached!
% 15.22/3.01 % (2682463)------------------------------
% 15.22/3.01 % (2682463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/3.01 % (2682463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/3.01 % (2682463)CaDiCaL version: 2.1.3
% 15.22/3.01 % (2682463)Termination reason: Instruction limit
% 15.22/3.01 % (2682463)Termination phase: Saturation
% 15.22/3.01 % (2682463)Time elapsed: 0.198 s
% 15.22/3.01 % (2682463)Peak memory usage: 93 MB
% 15.22/3.01 % (2682463)Instructions burned: 595 (million)
% 15.22/3.01 % (2682466)Instruction limit reached!
% 15.22/3.01 % (2682466)------------------------------
% 15.22/3.01 % (2682466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/3.01 % (2682466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/3.01 % (2682466)CaDiCaL version: 2.1.3
% 15.22/3.01 % (2682466)Termination reason: Instruction limit
% 15.22/3.01 % (2682466)Termination phase: Saturation
% 15.22/3.01 % (2682466)Time elapsed: 0.070 s
% 15.22/3.01 % (2682466)Peak memory usage: 89 MB
% 15.22/3.01 % (2682466)Instructions burned: 127 (million)
% 15.22/3.01 % (2682534)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3475989696:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 15.22/3.01 % (2682538)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1792230965:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 15.22/3.01 % (2682538)First to succeed.
% 15.22/3.01 % (2682538)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2682352"
% 15.22/3.01 % (2682534)Instruction limit reached!
% 15.22/3.01 % (2682534)------------------------------
% 15.22/3.01 % (2682534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/3.01 % (2682534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/3.01 % (2682534)CaDiCaL version: 2.1.3
% 15.22/3.01 % (2682534)Termination reason: Instruction limit
% 15.22/3.01 % (2682534)Termination phase: Saturation
% 15.22/3.01 % (2682534)Time elapsed: 0.089 s
% 15.22/3.01 % (2682534)Peak memory usage: 90 MB
% 15.22/3.01 % (2682534)Instructions burned: 135 (million)
% 15.22/3.01 % (2682579)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=817257749:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 15.22/3.01 % (2682579)Refutation not found, incomplete strategy
% 15.22/3.01 % (2682579)------------------------------
% 15.22/3.01 % (2682579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.22/3.01 % (2682579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/3.01 % (2682579)CaDiCaL version: 2.1.3
% 15.22/3.01 % (2682579)Termination reason: Refutation not found, incomplete strategy
% 15.22/3.01 % (2682579)Time elapsed: 0.009 s
% 15.22/3.01 % (2682579)Peak memory usage: 88 MB
% 15.22/3.01 % (2682579)Instructions burned: 13 (million)
% 15.22/3.01 % (2682538)Refutation found. Thanks to Tanya!
% 15.22/3.01 % SZS status Theorem for theBenchmark
% 15.22/3.01 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/3.21 % (2682538)------------------------------
% 0.17/3.21 % (2682538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/3.21 % (2682538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/3.21 % (2682538)CaDiCaL version: 2.1.3
% 0.17/3.21 % (2682538)Termination reason: Refutation
% 0.17/3.21 % (2682538)Time elapsed: 0.020 s
% 0.17/3.21 % (2682538)Peak memory usage: 89 MB
% 0.17/3.21 % (2682538)Instructions burned: 34 (million)
% 0.17/3.21 % (2682538)------------------------------
% 0.17/3.21 % (2682538)------------------------------
% 0.17/3.21 % (2682352)Success in time 2.37 s
% 0.17/3.21 % Vampire exiting
%------------------------------------------------------------------------------