%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR065+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 09:42:31 AM UTC 2026
% Result : Theorem 12.12s 2.75s
% Output : Refutation 14.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 67 ( 25 unt; 6 def)
% Number of atoms : 121 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 100 ( 46 ~; 41 |; 3 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f737,axiom,
( mtvisible(c_cyclistsmt)
=> ridgeline_topographical(c_tptpridgeline_topographical) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_737) ).
fof(f2158,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_2158) ).
fof(f2569,axiom,
! [X0] :
( ( mtvisible(c_tptp_member235_mt)
& ridgeline_topographical(X0) )
=> tptpofobject(X0,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_2569) ).
fof(f2882,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3633_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_2882) ).
fof(f3932,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_3932) ).
fof(f4481,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_4481) ).
fof(f7997,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_7997) ).
fof(f8006,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query165) ).
fof(f8007,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f9014,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f737]) ).
fof(f9765,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ mtvisible(c_tptp_member235_mt)
| ~ ridgeline_topographical(X0) ),
inference(ennf_transformation,[],[f2569]) ).
fof(f9766,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ mtvisible(c_tptp_member235_mt)
| ~ ridgeline_topographical(X0) ),
inference(flattening,[],[f9765]) ).
fof(f13390,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f7997]) ).
fof(f13391,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f13390]) ).
fof(f13400,plain,
( ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468))
& mtvisible(c_tptp_spindlecollectormt) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f14125,plain,
( ridgeline_topographical(c_tptpridgeline_topographical)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f9014]) ).
fof(f15517,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
inference(cnf_transformation,[],[f2158]) ).
fof(f15924,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ mtvisible(c_tptp_member235_mt)
| ~ ridgeline_topographical(X0) ),
inference(cnf_transformation,[],[f9766]) ).
fof(f16234,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member3633_mt),
inference(cnf_transformation,[],[f2882]) ).
fof(f17268,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f3932]) ).
fof(f17803,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f4481]) ).
fof(f20678,plain,
! [X0,X1] :
( ~ genlmt(X0,X1)
| ~ mtvisible(X0)
| mtvisible(X1) ),
inference(cnf_transformation,[],[f13391]) ).
fof(f20687,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[],[f13400]) ).
fof(f20688,plain,
~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
inference(cnf_transformation,[],[f13400]) ).
fof(f20689,definition,
sF0 = f_tptpquantityfn_13(n_468),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f20690,plain,
f_tptpquantityfn_13(n_468) = sF0,
inference(reorient_equations,[],[f20689]) ).
fof(f20691,plain,
~ tptpofobject(c_tptpridgeline_topographical,sF0),
inference(definition_folding,[],[f20688,f20690]) ).
fof(f20781,definition,
( spl1_21
<=> mtvisible(c_cyclistsmt) ),
introduced(definition,[new_symbols(definition,[spl1_21])],[avatar_definition]) ).
fof(f20783,plain,
( ~ mtvisible(c_cyclistsmt)
| spl1_21 ),
inference(avatar_component_clause,[],[f20781]) ).
fof(f21020,definition,
( spl1_73
<=> mtvisible(c_tptp_spindleheadmt) ),
introduced(definition,[new_symbols(definition,[spl1_73])],[avatar_definition]) ).
fof(f21021,plain,
( mtvisible(c_tptp_spindleheadmt)
| ~ spl1_73 ),
inference(avatar_component_clause,[],[f21020]) ).
fof(f21022,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| spl1_73 ),
inference(avatar_component_clause,[],[f21020]) ).
fof(f21504,definition,
( spl1_178
<=> mtvisible(c_tptp_member235_mt) ),
introduced(definition,[new_symbols(definition,[spl1_178])],[avatar_definition]) ).
fof(f21506,plain,
( ~ mtvisible(c_tptp_member235_mt)
| spl1_178 ),
inference(avatar_component_clause,[],[f21504]) ).
fof(f21513,definition,
( spl1_180
<=> ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(X0) ) ),
introduced(definition,[new_symbols(definition,[spl1_180])],[avatar_definition]) ).
fof(f21514,plain,
( ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_13(n_468))
| ~ ridgeline_topographical(X0) )
| ~ spl1_180 ),
inference(avatar_component_clause,[],[f21513]) ).
fof(f21943,definition,
( spl1_272
<=> ridgeline_topographical(c_tptpridgeline_topographical) ),
introduced(definition,[new_symbols(definition,[spl1_272])],[avatar_definition]) ).
fof(f22279,plain,
( ~ spl1_178
| spl1_180 ),
inference(avatar_split_clause,[],[f15924,f21513,f21504]) ).
fof(f23867,plain,
( ~ spl1_21
| spl1_272 ),
inference(avatar_split_clause,[],[f14125,f21943,f20781]) ).
fof(f24408,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member235_mt) ),
inference(resolution,[],[f15517,f20678]) ).
fof(f24409,plain,
mtvisible(c_tptp_member235_mt),
inference(forward_subsumption_resolution,[],[f24408,f20687]) ).
fof(f24410,plain,
( $false
| spl1_178 ),
inference(forward_subsumption_resolution,[],[f24409,f21506]) ).
fof(f24411,plain,
spl1_178,
inference(avatar_contradiction_clause,[],[f24410]) ).
fof(f24413,plain,
( ! [X0] :
( tptpofobject(X0,sF0)
| ~ ridgeline_topographical(X0) )
| ~ spl1_180 ),
inference(forward_demodulation,[],[f21514,f20690]) ).
fof(f24414,plain,
( ~ ridgeline_topographical(c_tptpridgeline_topographical)
| ~ spl1_180 ),
inference(resolution,[],[f24413,f20691]) ).
fof(f24415,plain,
( ~ spl1_272
| ~ spl1_180 ),
inference(avatar_split_clause,[],[f24414,f21513,f21943]) ).
fof(f24416,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| mtvisible(c_cyclistsmt) ),
inference(resolution,[],[f17803,f20678]) ).
fof(f24515,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member3633_mt) ),
inference(resolution,[],[f16234,f20678]) ).
fof(f24516,plain,
mtvisible(c_tptp_member3633_mt),
inference(forward_subsumption_resolution,[],[f24515,f20687]) ).
fof(f25570,plain,
( ~ mtvisible(c_tptp_member3633_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[],[f17268,f20678]) ).
fof(f25571,plain,
mtvisible(c_tptp_spindleheadmt),
inference(forward_subsumption_resolution,[],[f25570,f24516]) ).
fof(f25572,plain,
( $false
| spl1_73 ),
inference(forward_subsumption_resolution,[],[f25571,f21022]) ).
fof(f25573,plain,
spl1_73,
inference(avatar_contradiction_clause,[],[f25572]) ).
fof(f25574,plain,
( mtvisible(c_cyclistsmt)
| ~ spl1_73 ),
inference(forward_subsumption_resolution,[],[f24416,f21021]) ).
fof(f25575,plain,
( $false
| spl1_21
| ~ spl1_73 ),
inference(forward_subsumption_resolution,[],[f25574,f20783]) ).
fof(f25576,plain,
( spl1_21
| ~ spl1_73 ),
inference(avatar_contradiction_clause,[],[f25575]) ).
cnf(s285,plain,
( ~ spl1_178
| spl1_180 ),
inference(sat_conversion,[],[f22279]) ).
cnf(s591,plain,
( ~ spl1_21
| spl1_272 ),
inference(sat_conversion,[],[f23867]) ).
cnf(s699,plain,
spl1_178,
inference(sat_conversion,[],[f24411]) ).
cnf(s700,plain,
( ~ spl1_180
| ~ spl1_272 ),
inference(sat_conversion,[],[f24415]) ).
cnf(s710,plain,
spl1_73,
inference(sat_conversion,[],[f25573]) ).
cnf(s711,plain,
( spl1_21
| ~ spl1_73 ),
inference(sat_conversion,[],[f25576]) ).
cnf(s712,plain,
spl1_21,
inference(rat,[],[s711,s710]) ).
cnf(s733,plain,
spl1_272,
inference(rat,[],[s591,s712]) ).
cnf(s734,plain,
~ spl1_180,
inference(rat,[],[s700,s733]) ).
cnf(s790,plain,
$false,
inference(rat,[],[s285,s734,s699]) ).
fof(f25577,plain,
$false,
inference(avatar_sat_refutation,[],[s790]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR065+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n010.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 22:23:17 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running first-order theorem proving
% 0.09/0.25 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
% 9.83/2.22 % (2430858)Detected formulas, will run a generic FOF schedule.
% 9.83/2.22 % (2430997)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4119765767:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 9.83/2.22 % (2430997)Instruction limit reached!
% 9.83/2.22 % (2430997)------------------------------
% 9.83/2.22 % (2430997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.83/2.22 % (2430997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.83/2.22 % (2430997)CaDiCaL version: 2.1.3
% 9.83/2.22 % (2430997)Termination reason: Instruction limit
% 9.83/2.22 % (2430997)Termination phase: Saturation
% 9.83/2.22 % (2430997)Time elapsed: 0.029 s
% 9.83/2.22 % (2430997)Peak memory usage: 93 MB
% 9.83/2.22 % (2430997)Instructions burned: 124 (million)
% 9.83/2.22 % (2430996)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3780558297:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 9.83/2.22 % (2430993)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=23136655:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 9.83/2.22 % (2430995)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=3247050893:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 9.83/2.22 % (2430999)dis-21_1_sil=8000:lcm=predicate:random_seed=2359940002:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 9.83/2.22 % (2430998)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3919513303:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 9.83/2.22 % (2430996)Refutation not found, incomplete strategy
% 9.83/2.22 % (2430996)------------------------------
% 9.83/2.22 % (2430996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.83/2.22 % (2430996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.83/2.22 % (2430996)CaDiCaL version: 2.1.3
% 9.83/2.22 % (2430996)Termination reason: Refutation not found, incomplete strategy
% 9.83/2.22 % (2430996)Time elapsed: 0.016 s
% 9.83/2.22 % (2430996)Peak memory usage: 93 MB
% 9.83/2.22 % (2430996)Instructions burned: 23 (million)
% 9.83/2.22 % (2430994)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=969647034:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 9.83/2.22 % (2430999)Instruction limit reached!
% 9.83/2.22 % (2430999)------------------------------
% 9.83/2.22 % (2430999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.83/2.22 % (2430999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.83/2.22 % (2430999)CaDiCaL version: 2.1.3
% 9.83/2.22 % (2430999)Termination reason: Instruction limit
% 9.83/2.22 % (2430999)Termination phase: Saturation
% 9.83/2.22 % (2430999)Time elapsed: 0.075 s
% 9.83/2.22 % (2430999)Peak memory usage: 94 MB
% 9.83/2.22 % (2430999)Instructions burned: 131 (million)
% 9.83/2.22 % (2430998)Instruction limit reached!
% 9.83/2.22 % (2430998)------------------------------
% 9.83/2.22 % (2430998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.83/2.22 % (2430998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.83/2.22 % (2430998)CaDiCaL version: 2.1.3
% 9.83/2.22 % (2430998)Termination reason: Instruction limit
% 9.83/2.22 % (2430998)Termination phase: Property scanning
% 9.83/2.22 % (2430998)Time elapsed: 0.076 s
% 9.83/2.22 % (2430998)Peak memory usage: 92 MB
% 9.83/2.22 % (2430998)Instructions burned: 141 (million)
% 9.83/2.22 % (2431006)lrs+10_1_sil=8000:sp=occurrence:random_seed=2609782217:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 9.83/2.22 % (2431006)Refutation not found, incomplete strategy
% 9.83/2.22 % (2431006)------------------------------
% 9.83/2.22 % (2431006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.83/2.22 % (2431006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.83/2.22 % (2431006)CaDiCaL version: 2.1.3
% 9.83/2.22 % (2431006)Termination reason: Refutation not found, incomplete strategy
% 9.83/2.22 % (2431006)Time elapsed: 0.017 s
% 9.83/2.22 % (2431006)Peak memory usage: 94 MB
% 9.83/2.22 % (2431006)Instructions burned: 20 (million)
% 12.12/2.75 % (2431009)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3738389599:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.12/2.75 % (2431008)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3670725945:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.12/2.75 % (2431009)Refutation not found, incomplete strategy
% 12.12/2.75 % (2431009)------------------------------
% 12.12/2.75 % (2431009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.12/2.75 % (2431009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.12/2.75 % (2431009)CaDiCaL version: 2.1.3
% 12.12/2.75 % (2431009)Termination reason: Refutation not found, incomplete strategy
% 12.12/2.75 % (2431009)Time elapsed: 0.015 s
% 12.12/2.75 % (2431009)Peak memory usage: 94 MB
% 12.12/2.75 % (2431009)Instructions burned: 18 (million)
% 12.12/2.75 % (2430996)------------------------------
% 12.12/2.75 % (2430996)------------------------------
% 12.12/2.75 % (2431008)Refutation not found, incomplete strategy
% 12.12/2.75 % (2431008)------------------------------
% 12.12/2.75 % (2431008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.12/2.75 % (2431008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.12/2.75 % (2431008)CaDiCaL version: 2.1.3
% 12.12/2.75 % (2431008)Termination reason: Refutation not found, incomplete strategy
% 12.12/2.75 % (2431008)Time elapsed: 0.029 s
% 12.12/2.75 % (2431008)Peak memory usage: 94 MB
% 12.12/2.75 % (2431008)Instructions burned: 55 (million)
% 12.12/2.75 % (2431019)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=3964779307:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 12.12/2.75 % (2431006)------------------------------
% 12.12/2.75 % (2431006)------------------------------
% 12.12/2.75 % (2430994)Refutation not found, incomplete strategy
% 12.12/2.75 % (2430994)------------------------------
% 12.12/2.75 % (2430994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.12/2.75 % (2430994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.12/2.75 % (2430994)CaDiCaL version: 2.1.3
% 12.12/2.75 % (2430994)Termination reason: Refutation not found, incomplete strategy
% 12.12/2.75 % (2430994)Time elapsed: 0.526 s
% 12.12/2.75 % (2430994)Peak memory usage: 146 MB
% 12.12/2.75 % (2430994)Instructions burned: 1062 (million)
% 12.12/2.75 % (2431009)------------------------------
% 12.12/2.75 % (2431009)------------------------------
% 12.12/2.75 % (2431008)------------------------------
% 12.12/2.75 % (2431008)------------------------------
% 12.12/2.75 % (2431019)Instruction limit reached!
% 12.12/2.75 % (2431019)------------------------------
% 12.12/2.75 % (2431019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.12/2.75 % (2431019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.12/2.75 % (2431019)CaDiCaL version: 2.1.3
% 12.12/2.75 % (2431019)Termination reason: Instruction limit
% 12.12/2.75 % (2431019)Termination phase: Saturation
% 12.12/2.75 % (2431019)Time elapsed: 0.232 s
% 12.12/2.75 % (2431019)Peak memory usage: 99 MB
% 12.12/2.75 % (2431019)Instructions burned: 249 (million)
% 12.12/2.75 % (2431030)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3672603083:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 12.12/2.75 % (2430994)------------------------------
% 12.12/2.75 % (2430994)------------------------------
% 12.12/2.75 % (2431030)Refutation not found, incomplete strategy
% 12.12/2.75 % (2431030)------------------------------
% 12.12/2.75 % (2431030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.12/2.75 % (2431030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.12/2.75 % (2431030)CaDiCaL version: 2.1.3
% 12.12/2.75 % (2431030)Termination reason: Refutation not found, incomplete strategy
% 12.12/2.75 % (2431030)Time elapsed: 0.023 s
% 12.12/2.75 % (2431030)Peak memory usage: 94 MB
% 12.12/2.75 % (2431030)Instructions burned: 32 (million)
% 12.12/2.75 % (2431032)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=801693406:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 12.12/2.75 % (2430995)Refutation not found, incomplete strategy
% 12.12/2.75 % (2430995)------------------------------
% 12.12/2.75 % (2430995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.12/2.75 % (2430995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.12/2.75 % (2430995)CaDiCaL version: 2.1.3
% 12.12/2.75 % (2430995)Termination reason: Refutation not found, incomplete strategy
% 12.12/2.75 % (2430995)Time elapsed: 0.897 s
% 12.12/2.75 % (2430995)Peak memory usage: 147 MB
% 12.12/2.75 % (2430995)Instructions burned: 1041 (million)
% 12.12/2.75 % (2431033)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4256083342:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 12.12/2.75 % (2431034)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1392469318:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 12.12/2.75 % (2431033)Instruction limit reached!
% 12.12/2.75 % (2431033)------------------------------
% 12.12/2.75 % (2431033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.12/2.75 % (2431033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.12/2.75 % (2431033)CaDiCaL version: 2.1.3
% 12.12/2.75 % (2431033)Termination reason: Instruction limit
% 12.12/2.75 % (2431033)Termination phase: Saturation
% 12.12/2.75 % (2431033)Time elapsed: 0.061 s
% 12.12/2.75 % (2431033)Peak memory usage: 93 MB
% 12.12/2.75 % (2431033)Instructions burned: 115 (million)
% 12.12/2.75 % (2431037)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3947308883:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 12.12/2.75 % (2431034)Instruction limit reached!
% 12.12/2.75 % (2431034)------------------------------
% 12.12/2.75 % (2431034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.12/2.75 % (2431034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.12/2.75 % (2431034)CaDiCaL version: 2.1.3
% 12.12/2.75 % (2431034)Termination reason: Instruction limit
% 12.12/2.75 % (2431034)Termination phase: Blocked clause elimination
% 12.12/2.75 % (2431034)Time elapsed: 0.078 s
% 12.12/2.75 % (2431034)Peak memory usage: 95 MB
% 12.12/2.75 % (2431034)Instructions burned: 127 (million)
% 12.12/2.75 % (2431030)------------------------------
% 12.12/2.75 % (2431030)------------------------------
% 12.12/2.75 % (2431037)Instruction limit reached!
% 12.12/2.75 % (2431037)------------------------------
% 12.12/2.75 % (2431037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.12/2.75 % (2431037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.12/2.75 % (2431037)CaDiCaL version: 2.1.3
% 12.12/2.75 % (2431037)Termination reason: Instruction limit
% 12.12/2.75 % (2431037)Termination phase: Saturation
% 12.12/2.75 % (2431037)Time elapsed: 0.089 s
% 12.12/2.75 % (2431037)Peak memory usage: 94 MB
% 12.12/2.75 % (2431037)Instructions burned: 115 (million)
% 12.12/2.75 % (2431041)lrs+10_1_sil=8000:sp=occurrence:random_seed=3553426102:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 12.12/2.75 % (2431041)Refutation not found, incomplete strategy
% 12.12/2.75 % (2431041)------------------------------
% 12.12/2.75 % (2431041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.12/2.75 % (2431041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.12/2.75 % (2431041)CaDiCaL version: 2.1.3
% 12.12/2.75 % (2431041)Termination reason: Refutation not found, incomplete strategy
% 12.12/2.75 % (2431041)Time elapsed: 0.018 s
% 12.12/2.75 % (2431041)Peak memory usage: 94 MB
% 12.12/2.75 % (2431041)Instructions burned: 22 (million)
% 12.12/2.75 % (2430995)------------------------------
% 12.12/2.75 % (2430995)------------------------------
% 12.12/2.75 % (2431043)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2266818629:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 12.12/2.75 % (2431043)Refutation not found, incomplete strategy
% 12.12/2.75 % (2431043)------------------------------
% 12.12/2.75 % (2431043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.12/2.75 % (2431043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.12/2.75 % (2431043)CaDiCaL version: 2.1.3
% 12.12/2.75 % (2431043)Termination reason: Refutation not found, incomplete strategy
% 12.12/2.75 % (2431043)Time elapsed: 0.015 s
% 12.12/2.75 % (2431043)Peak memory usage: 94 MB
% 12.12/2.75 % (2431043)Instructions burned: 19 (million)
% 12.12/2.75 % (2431044)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1403264802:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 12.12/2.75 % (2431045)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=228347609:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 12.12/2.75 % (2431045)Refutation not found, incomplete strategy
% 12.12/2.75 % (2431045)------------------------------
% 12.12/2.75 % (2431045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.12/2.75 % (2431045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.12/2.75 % (2431045)CaDiCaL version: 2.1.3
% 12.12/2.75 % (2431045)Termination reason: Refutation not found, incomplete strategy
% 12.12/2.75 % (2431045)Time elapsed: 0.018 s
% 12.12/2.75 % (2431045)Peak memory usage: 94 MB
% 12.12/2.75 % (2431045)Instructions burned: 25 (million)
% 12.12/2.75 % (2431049)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2513266227:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 12.12/2.75 % (2431049)Refutation not found, incomplete strategy
% 12.12/2.75 % (2431049)------------------------------
% 12.12/2.75 % (2431049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.12/2.75 % (2431049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.12/2.75 % (2431049)CaDiCaL version: 2.1.3
% 12.12/2.75 % (2431049)Termination reason: Refutation not found, incomplete strategy
% 12.12/2.75 % (2431049)Time elapsed: 0.026 s
% 12.12/2.75 % (2431049)Peak memory usage: 94 MB
% 12.12/2.75 % (2431049)Instructions burned: 35 (million)
% 12.12/2.75 % (2431041)------------------------------
% 12.12/2.75 % (2431041)------------------------------
% 12.12/2.75 % (2431043)------------------------------
% 12.12/2.75 % (2431043)------------------------------
% 12.12/2.75 % (2431045)------------------------------
% 12.12/2.75 % (2431045)------------------------------
% 12.12/2.75 % (2431116)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2634128220:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 12.12/2.75 % (2431121)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=91345239:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 12.12/2.75 % (2430993)First to succeed.
% 12.12/2.75 % (2430993)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2430858"
% 12.12/2.75 % (2431049)------------------------------
% 12.12/2.75 % (2431049)------------------------------
% 12.12/2.75 % (2431121)Refutation not found, incomplete strategy
% 12.12/2.75 % (2431121)------------------------------
% 12.12/2.75 % (2431121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.12/2.75 % (2431121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.12/2.75 % (2431121)CaDiCaL version: 2.1.3
% 12.12/2.75 % (2431121)Termination reason: Refutation not found, incomplete strategy
% 12.12/2.75 % (2431121)Time elapsed: 0.044 s
% 12.12/2.75 % (2431121)Peak memory usage: 94 MB
% 12.12/2.75 % (2431121)Instructions burned: 76 (million)
% 12.12/2.75 % (2431143)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2512978145:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 12.12/2.75 % (2431143)Instruction limit reached!
% 12.12/2.75 % (2431143)------------------------------
% 12.12/2.75 % (2431143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.12/2.75 % (2431143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.12/2.75 % (2431143)CaDiCaL version: 2.1.3
% 12.12/2.75 % (2431143)Termination reason: Instruction limit
% 12.12/2.75 % (2431143)Termination phase: Preprocessing 3
% 12.12/2.75 % (2431143)Time elapsed: 0.075 s
% 12.12/2.75 % (2431143)Peak memory usage: 92 MB
% 12.12/2.75 % (2431143)Instructions burned: 136 (million)
% 12.12/2.75 % (2430993)Refutation found. Thanks to Tanya!
% 12.12/2.75 % SZS status Theorem for theBenchmark
% 12.12/2.75 % SZS output start Proof for theBenchmark
% See solution above
% 14.19/2.95 % (2430993)------------------------------
% 14.19/2.95 % (2430993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.19/2.95 % (2430993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/2.95 % (2430993)CaDiCaL version: 2.1.3
% 14.19/2.95 % (2430993)Termination reason: Refutation
% 14.19/2.95 % (2430993)Time elapsed: 1.577 s
% 14.19/2.95 % (2430993)Peak memory usage: 200 MB
% 14.19/2.95 % (2430993)Instructions burned: 3194 (million)
% 14.19/2.95 % (2430993)------------------------------
% 14.19/2.95 % (2430993)------------------------------
% 14.19/2.95 % (2430858)Success in time 2.061 s
% 14.19/2.95 % Vampire exiting
%------------------------------------------------------------------------------