%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO088+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 09:51:30 AM UTC 2026
% Result : Theorem 8.09s 2.13s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 3
% Syntax : Number of formulae : 50 ( 6 unt; 0 def)
% Number of atoms : 241 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 298 ( 107 ~; 129 |; 53 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 107 ( 93 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn) ).
fof(f3,axiom,
! [X0,X1] :
( end_point(X0,X1)
<=> ( incident_c(X0,X1)
& ! [X2,X3] :
( ( part_of(X2,X1)
& part_of(X3,X1)
& incident_c(X0,X2)
& incident_c(X0,X3) )
=> ( part_of(X2,X3)
| part_of(X3,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn) ).
fof(f17,conjecture,
! [X0,X1,X2] :
( ( part_of(X1,X0)
& end_point(X2,X0)
& incident_c(X2,X1) )
=> end_point(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_2_10) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2] :
( ( part_of(X1,X0)
& end_point(X2,X0)
& incident_c(X2,X1) )
=> end_point(X2,X1) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f21,plain,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f22,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( incident_c(X0,X1)
& ! [X2,X3] :
( part_of(X2,X3)
| part_of(X3,X2)
| ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X3) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f23,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( incident_c(X0,X1)
& ! [X2,X3] :
( part_of(X2,X3)
| part_of(X3,X2)
| ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X3) ) ) ),
inference(flattening,[],[f22]) ).
fof(f40,plain,
? [X0,X1,X2] :
( ~ end_point(X2,X1)
& part_of(X1,X0)
& end_point(X2,X0)
& incident_c(X2,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f41,plain,
? [X0,X1,X2] :
( ~ end_point(X2,X1)
& part_of(X1,X0)
& end_point(X2,X0)
& incident_c(X2,X1) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) )
| ~ part_of(X1,X0) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f43,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(rectify,[],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ( ~ incident_c(sK0(X0,X1),X0)
& incident_c(sK0(X0,X1),X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f43]) ).
fof(f49,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ? [X2,X3] :
( ~ part_of(X2,X3)
& ~ part_of(X3,X2)
& part_of(X2,X1)
& part_of(X3,X1)
& incident_c(X0,X2)
& incident_c(X0,X3) ) )
& ( ( incident_c(X0,X1)
& ! [X2,X3] :
( part_of(X2,X3)
| part_of(X3,X2)
| ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X3) ) )
| ~ end_point(X0,X1) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f50,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ? [X2,X3] :
( ~ part_of(X2,X3)
& ~ part_of(X3,X2)
& part_of(X2,X1)
& part_of(X3,X1)
& incident_c(X0,X2)
& incident_c(X0,X3) ) )
& ( ( incident_c(X0,X1)
& ! [X2,X3] :
( part_of(X2,X3)
| part_of(X3,X2)
| ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X3) ) )
| ~ end_point(X0,X1) ) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ? [X2,X3] :
( ~ part_of(X2,X3)
& ~ part_of(X3,X2)
& part_of(X2,X1)
& part_of(X3,X1)
& incident_c(X0,X2)
& incident_c(X0,X3) ) )
& ( ( incident_c(X0,X1)
& ! [X4,X5] :
( part_of(X4,X5)
| part_of(X5,X4)
| ~ part_of(X4,X1)
| ~ part_of(X5,X1)
| ~ incident_c(X0,X4)
| ~ incident_c(X0,X5) ) )
| ~ end_point(X0,X1) ) ),
inference(rectify,[],[f50]) ).
fof(f52,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ( ~ part_of(sK2(X0,X1),sK3(X0,X1))
& ~ part_of(sK3(X0,X1),sK2(X0,X1))
& part_of(sK2(X0,X1),X1)
& part_of(sK3(X0,X1),X1)
& incident_c(X0,sK2(X0,X1))
& incident_c(X0,sK3(X0,X1)) ) )
& ( ( incident_c(X0,X1)
& ! [X4,X5] :
( part_of(X4,X5)
| part_of(X5,X4)
| ~ part_of(X4,X1)
| ~ part_of(X5,X1)
| ~ incident_c(X0,X4)
| ~ incident_c(X0,X5) ) )
| ~ end_point(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1))],[f51]) ).
fof(f68,plain,
( ~ end_point(sK15,sK14)
& part_of(sK14,sK13)
& end_point(sK15,sK13)
& incident_c(sK15,sK14) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X0,sK13),skolemize(X1,sK14),skolemize(X2,sK15)],[f41]) ).
fof(f69,plain,
! [X3,X0,X1] :
( ~ incident_c(X3,X1)
| incident_c(X3,X0)
| ~ part_of(X1,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f70,plain,
! [X0,X1] :
( incident_c(sK0(X0,X1),X1)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f71,plain,
! [X0,X1] :
( ~ incident_c(sK0(X0,X1),X0)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f78,plain,
! [X0,X1,X4,X5] :
( ~ end_point(X0,X1)
| part_of(X5,X4)
| ~ part_of(X4,X1)
| ~ part_of(X5,X1)
| ~ incident_c(X0,X4)
| ~ incident_c(X0,X5)
| part_of(X4,X5) ),
inference(cnf_transformation,[],[f52]) ).
fof(f80,plain,
! [X0,X1] :
( incident_c(X0,sK3(X0,X1))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f81,plain,
! [X0,X1] :
( incident_c(X0,sK2(X0,X1))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f82,plain,
! [X0,X1] :
( part_of(sK3(X0,X1),X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f83,plain,
! [X0,X1] :
( part_of(sK2(X0,X1),X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f84,plain,
! [X0,X1] :
( ~ part_of(sK3(X0,X1),sK2(X0,X1))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f85,plain,
! [X0,X1] :
( ~ part_of(sK2(X0,X1),sK3(X0,X1))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f110,plain,
incident_c(sK15,sK14),
inference(cnf_transformation,[],[f68]) ).
fof(f111,plain,
end_point(sK15,sK13),
inference(cnf_transformation,[],[f68]) ).
fof(f112,plain,
part_of(sK14,sK13),
inference(cnf_transformation,[],[f68]) ).
fof(f113,plain,
~ end_point(sK15,sK14),
inference(cnf_transformation,[],[f68]) ).
fof(f123,plain,
! [X2,X0,X1] :
( incident_c(sK0(X1,X0),X2)
| part_of(X0,X1)
| ~ part_of(X0,X2) ),
inference(resolution,[],[f70,f69]) ).
fof(f124,plain,
! [X2,X3,X0,X1] :
( ~ part_of(X2,X3)
| ~ part_of(X0,X2)
| incident_c(sK0(X1,X0),X3)
| part_of(X0,X1) ),
inference(resolution,[],[f123,f69]) ).
fof(f130,plain,
! [X0,X1] :
( ~ incident_c(sK15,X1)
| ~ part_of(X1,sK13)
| ~ part_of(X0,sK13)
| part_of(X0,X1)
| ~ incident_c(sK15,X0)
| part_of(X1,X0) ),
inference(resolution,[],[f78,f111]) ).
fof(f134,plain,
! [X0,X1] :
( ~ part_of(sK2(sK15,X0),sK13)
| ~ part_of(X1,sK13)
| part_of(X1,sK2(sK15,X0))
| ~ incident_c(sK15,X1)
| part_of(sK2(sK15,X0),X1)
| ~ incident_c(sK15,X0)
| end_point(sK15,X0) ),
inference(resolution,[],[f130,f81]) ).
fof(f152,plain,
! [X0,X1] :
( incident_c(sK0(X1,X0),sK13)
| ~ part_of(X0,sK14)
| part_of(X0,X1) ),
inference(resolution,[],[f124,f112]) ).
fof(f153,plain,
! [X0] :
( ~ part_of(X0,sK14)
| part_of(X0,sK13)
| part_of(X0,sK13) ),
inference(resolution,[],[f152,f71]) ).
fof(f156,plain,
! [X0] :
( ~ part_of(X0,sK14)
| part_of(X0,sK13) ),
inference(duplicate_literal_removal,[],[f153]) ).
fof(f158,plain,
! [X0] :
( part_of(sK2(X0,sK14),sK13)
| ~ incident_c(X0,sK14)
| end_point(X0,sK14) ),
inference(resolution,[],[f156,f83]) ).
fof(f159,plain,
! [X0] :
( part_of(sK3(X0,sK14),sK13)
| ~ incident_c(X0,sK14)
| end_point(X0,sK14) ),
inference(resolution,[],[f156,f82]) ).
fof(f163,plain,
! [X0] :
( ~ part_of(X0,sK13)
| part_of(X0,sK2(sK15,sK14))
| ~ incident_c(sK15,X0)
| part_of(sK2(sK15,sK14),X0)
| ~ incident_c(sK15,sK14)
| end_point(sK15,sK14)
| ~ incident_c(sK15,sK14)
| end_point(sK15,sK14) ),
inference(resolution,[],[f134,f158]) ).
fof(f166,plain,
! [X0] :
( ~ part_of(X0,sK13)
| part_of(X0,sK2(sK15,sK14))
| ~ incident_c(sK15,X0)
| part_of(sK2(sK15,sK14),X0)
| ~ incident_c(sK15,sK14)
| end_point(sK15,sK14) ),
inference(duplicate_literal_removal,[],[f163]) ).
fof(f167,plain,
! [X0] :
( ~ part_of(X0,sK13)
| part_of(X0,sK2(sK15,sK14))
| ~ incident_c(sK15,X0)
| part_of(sK2(sK15,sK14),X0)
| end_point(sK15,sK14) ),
inference(forward_subsumption_resolution,[],[f166,f110]) ).
fof(f168,plain,
! [X0] :
( part_of(sK2(sK15,sK14),X0)
| part_of(X0,sK2(sK15,sK14))
| ~ incident_c(sK15,X0)
| ~ part_of(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f167,f113]) ).
fof(f173,plain,
( part_of(sK2(sK15,sK14),sK3(sK15,sK14))
| ~ incident_c(sK15,sK3(sK15,sK14))
| ~ part_of(sK3(sK15,sK14),sK13)
| ~ incident_c(sK15,sK14)
| end_point(sK15,sK14) ),
inference(resolution,[],[f168,f84]) ).
fof(f175,plain,
( ~ incident_c(sK15,sK3(sK15,sK14))
| ~ part_of(sK3(sK15,sK14),sK13)
| ~ incident_c(sK15,sK14)
| end_point(sK15,sK14) ),
inference(forward_subsumption_resolution,[],[f173,f85]) ).
fof(f177,plain,
( ~ part_of(sK3(sK15,sK14),sK13)
| ~ incident_c(sK15,sK14)
| end_point(sK15,sK14) ),
inference(forward_subsumption_resolution,[],[f175,f80]) ).
fof(f179,plain,
( ~ incident_c(sK15,sK14)
| end_point(sK15,sK14) ),
inference(forward_subsumption_resolution,[],[f177,f159]) ).
fof(f189,plain,
end_point(sK15,sK14),
inference(forward_subsumption_resolution,[],[f179,f110]) ).
fof(f190,plain,
$false,
inference(forward_subsumption_resolution,[],[f189,f113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO088+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n003.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 06:56:26 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.62/1.94 % (153340)Detected formulas, will run a generic FOF schedule.
% 6.62/1.94 % (153349)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1074530279:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.62/1.94 % (153349)Instruction limit reached!
% 6.62/1.94 % (153349)------------------------------
% 6.62/1.94 % (153349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.94 % (153349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.94 % (153349)CaDiCaL version: 2.1.3
% 6.62/1.94 % (153349)Termination reason: Instruction limit
% 6.62/1.94 % (153349)Termination phase: Saturation
% 6.62/1.94 % (153349)Time elapsed: 0.031 s
% 6.62/1.94 % (153349)Peak memory usage: 87 MB
% 6.62/1.94 % (153349)Instructions burned: 121 (million)
% 6.62/1.94 % (153345)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=1548619238:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.62/1.94 % (153348)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3950686758:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.62/1.94 % (153347)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=3077415317:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.62/1.94 % (153351)dis-21_1_sil=8000:lcm=predicate:random_seed=1305498508: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)
% 6.62/1.94 % (153346)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=394176991:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.62/1.94 % (153350)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2333678377:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.62/1.94 % (153348)Refutation not found, incomplete strategy
% 6.62/1.94 % (153348)------------------------------
% 6.62/1.94 % (153348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.94 % (153348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.94 % (153348)CaDiCaL version: 2.1.3
% 6.62/1.94 % (153348)Termination reason: Refutation not found, incomplete strategy
% 6.62/1.94 % (153348)Time elapsed: 0.003 s
% 6.62/1.94 % (153348)Peak memory usage: 88 MB
% 6.62/1.94 % (153348)Instructions burned: 2 (million)
% 6.62/1.94 % (153351)Instruction limit reached!
% 6.62/1.94 % (153351)------------------------------
% 6.62/1.94 % (153351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.94 % (153351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.94 % (153351)CaDiCaL version: 2.1.3
% 6.62/1.94 % (153351)Termination reason: Instruction limit
% 6.62/1.94 % (153351)Termination phase: Saturation
% 6.62/1.94 % (153351)Time elapsed: 0.079 s
% 6.62/1.94 % (153351)Peak memory usage: 89 MB
% 6.62/1.94 % (153351)Instructions burned: 130 (million)
% 6.62/1.94 % (153350)Instruction limit reached!
% 6.62/1.94 % (153350)------------------------------
% 6.62/1.94 % (153350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.94 % (153350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.94 % (153350)CaDiCaL version: 2.1.3
% 6.62/1.94 % (153350)Termination reason: Instruction limit
% 6.62/1.94 % (153350)Termination phase: Saturation
% 6.62/1.94 % (153350)Time elapsed: 0.093 s
% 6.62/1.94 % (153350)Peak memory usage: 89 MB
% 6.62/1.94 % (153350)Instructions burned: 139 (million)
% 6.62/1.94 % (153353)lrs+10_1_sil=8000:sp=occurrence:random_seed=383025877:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.62/1.94 % (153353)Instruction limit reached!
% 6.62/1.94 % (153353)------------------------------
% 6.62/1.94 % (153353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.94 % (153353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.94 % (153353)CaDiCaL version: 2.1.3
% 6.62/1.94 % (153353)Termination reason: Instruction limit
% 6.62/1.94 % (153353)Termination phase: Saturation
% 6.62/1.94 % (153353)Time elapsed: 0.087 s
% 6.62/1.94 % (153353)Peak memory usage: 91 MB
% 6.62/1.94 % (153353)Instructions burned: 286 (million)
% 6.62/1.94 % (153360)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1459644701:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.62/1.94 % (153348)------------------------------
% 6.62/1.94 % (153348)------------------------------
% 6.62/1.94 % (153361)lrs+1011_1_sil=32000:sp=occurrence:random_seed=70794922:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.62/1.94 % (153360)Instruction limit reached!
% 6.62/1.94 % (153360)------------------------------
% 6.62/1.94 % (153360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.94 % (153360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.94 % (153360)CaDiCaL version: 2.1.3
% 6.62/1.94 % (153360)Termination reason: Instruction limit
% 6.62/1.94 % (153360)Termination phase: Saturation
% 6.62/1.94 % (153360)Time elapsed: 0.086 s
% 6.62/1.94 % (153360)Peak memory usage: 89 MB
% 6.62/1.94 % (153360)Instructions burned: 158 (million)
% 6.62/1.94 % (153363)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=1750589495:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.62/1.94 % (153363)Instruction limit reached!
% 6.62/1.94 % (153363)------------------------------
% 6.62/1.94 % (153363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.94 % (153363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.94 % (153363)CaDiCaL version: 2.1.3
% 6.62/1.94 % (153363)Termination reason: Instruction limit
% 6.62/1.94 % (153363)Termination phase: Saturation
% 6.62/1.94 % (153363)Time elapsed: 0.073 s
% 6.62/1.94 % (153363)Peak memory usage: 90 MB
% 6.62/1.94 % (153363)Instructions burned: 251 (million)
% 6.62/1.94 % (153366)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3559686374:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.62/1.94 % (153361)Instruction limit reached!
% 6.62/1.94 % (153361)------------------------------
% 6.62/1.94 % (153361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.94 % (153361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.94 % (153361)CaDiCaL version: 2.1.3
% 6.62/1.94 % (153361)Termination reason: Instruction limit
% 6.62/1.94 % (153361)Termination phase: Saturation
% 6.62/1.94 % (153361)Time elapsed: 0.206 s
% 6.62/1.94 % (153361)Peak memory usage: 91 MB
% 6.62/1.94 % (153361)Instructions burned: 325 (million)
% 6.62/1.94 % (153367)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=706764482:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.62/1.94 % (153369)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2126997105:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.62/1.94 % (153369)Instruction limit reached!
% 6.62/1.94 % (153369)------------------------------
% 6.62/1.94 % (153369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.94 % (153369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.94 % (153369)CaDiCaL version: 2.1.3
% 6.62/1.94 % (153369)Termination reason: Instruction limit
% 6.62/1.94 % (153369)Termination phase: Saturation
% 6.62/1.94 % (153369)Time elapsed: 0.037 s
% 6.62/1.94 % (153369)Peak memory usage: 89 MB
% 6.62/1.94 % (153369)Instructions burned: 114 (million)
% 6.62/1.94 % (153366)Instruction limit reached!
% 6.62/1.94 % (153366)------------------------------
% 6.62/1.94 % (153366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.94 % (153366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.94 % (153366)CaDiCaL version: 2.1.3
% 6.62/1.94 % (153366)Termination reason: Instruction limit
% 6.62/1.94 % (153366)Termination phase: Saturation
% 6.62/1.94 % (153366)Time elapsed: 0.159 s
% 6.62/1.94 % (153366)Peak memory usage: 88 MB
% 6.62/1.94 % (153366)Instructions burned: 296 (million)
% 6.62/1.94 % (153372)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=570541229:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.62/1.94 % (153345)First to succeed.
% 6.62/1.94 % (153345)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-153340"
% 6.62/1.94 % (153346)Also succeeded, but the first one will report.
% 6.62/1.94 % (153374)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1077139823:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.62/1.94 % (153372)Instruction limit reached!
% 6.62/1.94 % (153372)------------------------------
% 8.09/2.13 % (153372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.13 % (153372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.13 % (153372)CaDiCaL version: 2.1.3
% 8.09/2.13 % (153372)Termination reason: Instruction limit
% 8.09/2.13 % (153372)Termination phase: Saturation
% 8.09/2.13 % (153372)Time elapsed: 0.069 s
% 8.09/2.13 % (153372)Peak memory usage: 89 MB
% 8.09/2.13 % (153372)Instructions burned: 129 (million)
% 8.09/2.13 % (153374)Instruction limit reached!
% 8.09/2.13 % (153374)------------------------------
% 8.09/2.13 % (153374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.13 % (153374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.13 % (153374)CaDiCaL version: 2.1.3
% 8.09/2.13 % (153374)Termination reason: Instruction limit
% 8.09/2.13 % (153374)Termination phase: Saturation
% 8.09/2.13 % (153374)Time elapsed: 0.036 s
% 8.09/2.13 % (153374)Peak memory usage: 89 MB
% 8.09/2.13 % (153374)Instructions burned: 118 (million)
% 8.09/2.13 % (153375)lrs+10_1_sil=8000:sp=occurrence:random_seed=2886599863:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.09/2.13 % (153347)Also succeeded, but the first one will report.
% 8.09/2.13 % (153379)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1318622427:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 8.09/2.13 % (153378)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=650998731:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.09/2.13 % (153378)Refutation not found, incomplete strategy
% 8.09/2.13 % (153378)------------------------------
% 8.09/2.13 % (153378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.13 % (153378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.13 % (153378)CaDiCaL version: 2.1.3
% 8.09/2.13 % (153378)Termination reason: Refutation not found, incomplete strategy
% 8.09/2.13 % (153378)Time elapsed: 0.001 s
% 8.09/2.13 % (153378)Peak memory usage: 88 MB
% 8.09/2.13 % (153378)Instructions burned: 1 (million)
% 8.09/2.13 % (153345)Refutation found. Thanks to Tanya!
% 8.09/2.13 % SZS status Theorem for theBenchmark
% 0.16/2.13 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/2.13 % (153345)------------------------------
% 0.16/2.13 % (153345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.13 % (153345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.13 % (153345)CaDiCaL version: 2.1.3
% 0.16/2.13 % (153345)Termination reason: Refutation
% 0.16/2.13 % (153345)Time elapsed: 0.633 s
% 0.16/2.13 % (153345)Peak memory usage: 127 MB
% 0.16/2.13 % (153345)Instructions burned: 934 (million)
% 0.16/2.13 % (153345)------------------------------
% 0.16/2.13 % (153345)------------------------------
% 0.16/2.13 % (153340)Success in time 1.072 s
% 0.16/2.13 % Vampire exiting
%------------------------------------------------------------------------------