%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR026+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 : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:42:00 AM UTC 2026
% Result : Theorem 12.98s 2.79s
% Output : Refutation 12.98s
% 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(f1317,axiom,
( mtvisible(c_cyclistsmt)
=> runningshorts(c_tptprunningshorts) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_1317) ).
fof(f1907,axiom,
! [X0] :
( ( mtvisible(c_tptp_member2701_mt)
& runningshorts(X0) )
=> tptpofobject(X0,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_1907) ).
fof(f2363,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_2363) ).
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_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query126) ).
fof(f8007,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptpofobject(c_tptprunningshorts,f_tptpquantityfn_2(n_756)) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f9259,plain,
( runningshorts(c_tptprunningshorts)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f1317]) ).
fof(f9495,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ mtvisible(c_tptp_member2701_mt)
| ~ runningshorts(X0) ),
inference(ennf_transformation,[],[f1907]) ).
fof(f9496,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ mtvisible(c_tptp_member2701_mt)
| ~ runningshorts(X0) ),
inference(flattening,[],[f9495]) ).
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_tptprunningshorts,f_tptpquantityfn_2(n_756))
& mtvisible(c_tptp_spindlecollectormt) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f14690,plain,
( runningshorts(c_tptprunningshorts)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f9259]) ).
fof(f15269,plain,
! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ mtvisible(c_tptp_member2701_mt)
| ~ runningshorts(X0) ),
inference(cnf_transformation,[],[f9496]) ).
fof(f15720,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2701_mt),
inference(cnf_transformation,[],[f2363]) ).
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_tptprunningshorts,f_tptpquantityfn_2(n_756)),
inference(cnf_transformation,[],[f13400]) ).
fof(f20689,definition,
sF0 = f_tptpquantityfn_2(n_756),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f20690,plain,
f_tptpquantityfn_2(n_756) = sF0,
inference(reorient_equations,[],[f20689]) ).
fof(f20691,plain,
~ tptpofobject(c_tptprunningshorts,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(f21231,definition,
( spl1_119
<=> runningshorts(c_tptprunningshorts) ),
introduced(definition,[new_symbols(definition,[spl1_119])],[avatar_definition]) ).
fof(f21374,definition,
( spl1_150
<=> mtvisible(c_tptp_member2701_mt) ),
introduced(definition,[new_symbols(definition,[spl1_150])],[avatar_definition]) ).
fof(f21376,plain,
( ~ mtvisible(c_tptp_member2701_mt)
| spl1_150 ),
inference(avatar_component_clause,[],[f21374]) ).
fof(f21383,definition,
( spl1_152
<=> ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ runningshorts(X0) ) ),
introduced(definition,[new_symbols(definition,[spl1_152])],[avatar_definition]) ).
fof(f21384,plain,
( ! [X0] :
( tptpofobject(X0,f_tptpquantityfn_2(n_756))
| ~ runningshorts(X0) )
| ~ spl1_152 ),
inference(avatar_component_clause,[],[f21383]) ).
fof(f22827,plain,
( ~ spl1_150
| spl1_152 ),
inference(avatar_split_clause,[],[f15269,f21383,f21374]) ).
fof(f23328,plain,
( ~ spl1_21
| spl1_119 ),
inference(avatar_split_clause,[],[f14690,f21231,f20781]) ).
fof(f24408,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member2701_mt) ),
inference(resolution,[],[f15720,f20678]) ).
fof(f24409,plain,
mtvisible(c_tptp_member2701_mt),
inference(forward_subsumption_resolution,[],[f24408,f20687]) ).
fof(f24410,plain,
( $false
| spl1_150 ),
inference(forward_subsumption_resolution,[],[f24409,f21376]) ).
fof(f24411,plain,
spl1_150,
inference(avatar_contradiction_clause,[],[f24410]) ).
fof(f24413,plain,
( ! [X0] :
( tptpofobject(X0,sF0)
| ~ runningshorts(X0) )
| ~ spl1_152 ),
inference(forward_demodulation,[],[f21384,f20690]) ).
fof(f24414,plain,
( ~ runningshorts(c_tptprunningshorts)
| ~ spl1_152 ),
inference(resolution,[],[f24413,f20691]) ).
fof(f24415,plain,
( ~ spl1_119
| ~ spl1_152 ),
inference(avatar_split_clause,[],[f24414,f21383,f21231]) ).
fof(f24416,plain,
( ~ mtvisible(c_tptp_spindleheadmt)
| mtvisible(c_cyclistsmt) ),
inference(resolution,[],[f17803,f20678]) ).
fof(f24514,plain,
( ~ mtvisible(c_tptp_spindlecollectormt)
| mtvisible(c_tptp_member3633_mt) ),
inference(resolution,[],[f16234,f20678]) ).
fof(f24515,plain,
mtvisible(c_tptp_member3633_mt),
inference(forward_subsumption_resolution,[],[f24514,f20687]) ).
fof(f25561,plain,
( ~ mtvisible(c_tptp_member3633_mt)
| mtvisible(c_tptp_spindleheadmt) ),
inference(resolution,[],[f17268,f20678]) ).
fof(f25562,plain,
mtvisible(c_tptp_spindleheadmt),
inference(forward_subsumption_resolution,[],[f25561,f24515]) ).
fof(f25563,plain,
( $false
| spl1_73 ),
inference(forward_subsumption_resolution,[],[f25562,f21022]) ).
fof(f25564,plain,
spl1_73,
inference(avatar_contradiction_clause,[],[f25563]) ).
fof(f25565,plain,
( mtvisible(c_cyclistsmt)
| ~ spl1_73 ),
inference(forward_subsumption_resolution,[],[f24416,f21021]) ).
fof(f25566,plain,
( $false
| spl1_21
| ~ spl1_73 ),
inference(forward_subsumption_resolution,[],[f25565,f20783]) ).
fof(f25567,plain,
( spl1_21
| ~ spl1_73 ),
inference(avatar_contradiction_clause,[],[f25566]) ).
cnf(s393,plain,
( ~ spl1_150
| spl1_152 ),
inference(sat_conversion,[],[f22827]) ).
cnf(s484,plain,
( ~ spl1_21
| spl1_119 ),
inference(sat_conversion,[],[f23328]) ).
cnf(s699,plain,
spl1_150,
inference(sat_conversion,[],[f24411]) ).
cnf(s700,plain,
( ~ spl1_119
| ~ spl1_152 ),
inference(sat_conversion,[],[f24415]) ).
cnf(s710,plain,
spl1_73,
inference(sat_conversion,[],[f25564]) ).
cnf(s711,plain,
( spl1_21
| ~ spl1_73 ),
inference(sat_conversion,[],[f25567]) ).
cnf(s712,plain,
spl1_21,
inference(rat,[],[s711,s710]) ).
cnf(s761,plain,
spl1_119,
inference(rat,[],[s484,s712]) ).
cnf(s762,plain,
~ spl1_152,
inference(rat,[],[s700,s761]) ).
cnf(s774,plain,
$false,
inference(rat,[],[s393,s762,s699]) ).
fof(f25568,plain,
$false,
inference(avatar_sat_refutation,[],[s774]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR026+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 % Computer : n002.cluster.edu
% 0.08/0.25 % Model : x86_64 x86_64
% 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.25 % Memory : 8046.5625MB
% 0.08/0.25 % OS : Linux 6.8.0-71-generic
% 0.08/0.25 % CPULimit : 300
% 0.08/0.25 % WCLimit : 300
% 0.08/0.25 % DateTime : Mon Sep 28 22:09:22 UTC 2026
% 0.08/0.25 % CPUTime :
% 0.08/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.28 Running first-order theorem proving
% 0.18/0.28 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
% 9.45/2.16 % (831581)Detected formulas, will run a generic FOF schedule.
% 9.45/2.16 % (831732)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1566067993:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 9.45/2.16 % (831732)Refutation not found, incomplete strategy
% 9.45/2.16 % (831732)------------------------------
% 9.45/2.16 % (831732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.45/2.16 % (831732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.45/2.16 % (831732)CaDiCaL version: 2.1.3
% 9.45/2.16 % (831732)Termination reason: Refutation not found, incomplete strategy
% 9.45/2.16 % (831732)Time elapsed: 0.009 s
% 9.45/2.16 % (831732)Peak memory usage: 93 MB
% 9.45/2.16 % (831732)Instructions burned: 24 (million)
% 9.45/2.16 % (831731)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=2668727896:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 9.45/2.16 % (831729)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=755441271:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 9.45/2.16 % (831736)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1473062248:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 9.45/2.16 % (831730)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=3061486404:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 9.45/2.16 % (831738)dis-21_1_sil=8000:lcm=predicate:random_seed=3170274034: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)
% 9.45/2.16 % (831734)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3550013320:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 9.45/2.16 % (831734)Instruction limit reached!
% 9.45/2.16 % (831734)------------------------------
% 9.45/2.16 % (831734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.45/2.16 % (831734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.45/2.16 % (831734)CaDiCaL version: 2.1.3
% 9.45/2.16 % (831734)Termination reason: Instruction limit
% 9.45/2.16 % (831734)Termination phase: Saturation
% 9.45/2.16 % (831734)Time elapsed: 0.054 s
% 9.45/2.16 % (831734)Peak memory usage: 93 MB
% 9.45/2.16 % (831734)Instructions burned: 121 (million)
% 9.45/2.16 % (831738)Instruction limit reached!
% 9.45/2.16 % (831738)------------------------------
% 9.45/2.16 % (831738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.45/2.16 % (831738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.45/2.16 % (831738)CaDiCaL version: 2.1.3
% 9.45/2.16 % (831738)Termination reason: Instruction limit
% 9.45/2.16 % (831738)Termination phase: Saturation
% 9.45/2.16 % (831738)Time elapsed: 0.076 s
% 9.45/2.16 % (831738)Peak memory usage: 94 MB
% 9.45/2.16 % (831738)Instructions burned: 130 (million)
% 9.45/2.16 % (831736)Instruction limit reached!
% 9.45/2.16 % (831736)------------------------------
% 9.45/2.16 % (831736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.45/2.16 % (831736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.45/2.16 % (831736)CaDiCaL version: 2.1.3
% 9.45/2.16 % (831736)Termination reason: Instruction limit
% 9.45/2.16 % (831736)Termination phase: Property scanning
% 9.45/2.16 % (831736)Time elapsed: 0.076 s
% 9.45/2.16 % (831736)Peak memory usage: 92 MB
% 9.45/2.16 % (831736)Instructions burned: 141 (million)
% 9.45/2.16 % (831732)------------------------------
% 9.45/2.16 % (831732)------------------------------
% 9.45/2.16 % (831772)lrs+10_1_sil=8000:sp=occurrence:random_seed=829301306:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 9.45/2.16 % (831772)Refutation not found, incomplete strategy
% 9.45/2.16 % (831772)------------------------------
% 9.45/2.16 % (831772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.45/2.16 % (831772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.45/2.16 % (831772)CaDiCaL version: 2.1.3
% 9.45/2.16 % (831772)Termination reason: Refutation not found, incomplete strategy
% 9.45/2.16 % (831772)Time elapsed: 0.017 s
% 9.45/2.16 % (831772)Peak memory usage: 94 MB
% 9.45/2.16 % (831772)Instructions burned: 20 (million)
% 10.81/2.60 % (831774)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3405594048:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 10.81/2.60 % (831773)lrs+10_1_sil=32000:urr=on:br=off:random_seed=32063349:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 10.81/2.60 % (831785)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=72190024:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 10.81/2.60 % (831774)Refutation not found, incomplete strategy
% 10.81/2.60 % (831774)------------------------------
% 10.81/2.60 % (831774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.81/2.60 % (831774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/2.60 % (831774)CaDiCaL version: 2.1.3
% 10.81/2.60 % (831774)Termination reason: Refutation not found, incomplete strategy
% 10.81/2.60 % (831774)Time elapsed: 0.016 s
% 10.81/2.60 % (831774)Peak memory usage: 94 MB
% 10.81/2.60 % (831774)Instructions burned: 18 (million)
% 10.81/2.60 % (831773)Refutation not found, incomplete strategy
% 10.81/2.60 % (831773)------------------------------
% 10.81/2.60 % (831773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.81/2.60 % (831773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/2.60 % (831773)CaDiCaL version: 2.1.3
% 10.81/2.60 % (831773)Termination reason: Refutation not found, incomplete strategy
% 10.81/2.60 % (831773)Time elapsed: 0.030 s
% 10.81/2.60 % (831773)Peak memory usage: 94 MB
% 10.81/2.60 % (831773)Instructions burned: 55 (million)
% 10.81/2.60 % (831785)Instruction limit reached!
% 10.81/2.60 % (831785)------------------------------
% 10.81/2.60 % (831785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.81/2.60 % (831785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/2.60 % (831785)CaDiCaL version: 2.1.3
% 10.81/2.60 % (831785)Termination reason: Instruction limit
% 10.81/2.60 % (831785)Termination phase: Saturation
% 10.81/2.60 % (831785)Time elapsed: 0.072 s
% 10.81/2.60 % (831785)Peak memory usage: 99 MB
% 10.81/2.60 % (831785)Instructions burned: 249 (million)
% 10.81/2.60 % (831827)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3648204544:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 10.81/2.60 % (831827)Refutation not found, incomplete strategy
% 10.81/2.60 % (831827)------------------------------
% 10.81/2.60 % (831827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.81/2.60 % (831827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/2.60 % (831827)CaDiCaL version: 2.1.3
% 10.81/2.60 % (831827)Termination reason: Refutation not found, incomplete strategy
% 10.81/2.60 % (831827)Time elapsed: 0.012 s
% 10.81/2.60 % (831827)Peak memory usage: 94 MB
% 10.81/2.60 % (831827)Instructions burned: 32 (million)
% 10.81/2.60 % (831772)------------------------------
% 10.81/2.60 % (831772)------------------------------
% 10.81/2.60 % (831774)------------------------------
% 10.81/2.60 % (831774)------------------------------
% 10.81/2.60 % (831773)------------------------------
% 10.81/2.60 % (831773)------------------------------
% 10.81/2.60 % (831827)------------------------------
% 10.81/2.60 % (831827)------------------------------
% 10.81/2.60 % (831829)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2875496709:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 10.81/2.60 % (831830)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2580077154:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 10.81/2.60 % (831831)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=464568126:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 10.81/2.60 % (831830)Instruction limit reached!
% 10.81/2.60 % (831830)------------------------------
% 10.81/2.60 % (831830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.81/2.60 % (831830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/2.60 % (831830)CaDiCaL version: 2.1.3
% 10.81/2.60 % (831830)Termination reason: Instruction limit
% 10.81/2.60 % (831830)Termination phase: Saturation
% 10.81/2.60 % (831830)Time elapsed: 0.060 s
% 10.81/2.60 % (831830)Peak memory usage: 94 MB
% 10.81/2.60 % (831830)Instructions burned: 114 (million)
% 10.81/2.60 % (831731)Refutation not found, incomplete strategy
% 10.81/2.60 % (831731)------------------------------
% 10.81/2.60 % (831731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.81/2.60 % (831731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/2.60 % (831731)CaDiCaL version: 2.1.3
% 10.81/2.60 % (831731)Termination reason: Refutation not found, incomplete strategy
% 10.81/2.60 % (831731)Time elapsed: 0.708 s
% 10.81/2.60 % (831731)Peak memory usage: 148 MB
% 10.81/2.60 % (831731)Instructions burned: 1041 (million)
% 10.81/2.60 % (831730)Refutation not found, incomplete strategy
% 10.81/2.60 % (831730)------------------------------
% 10.81/2.60 % (831730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.81/2.60 % (831730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/2.60 % (831730)CaDiCaL version: 2.1.3
% 10.81/2.60 % (831730)Termination reason: Refutation not found, incomplete strategy
% 10.81/2.60 % (831730)Time elapsed: 0.722 s
% 10.81/2.60 % (831730)Peak memory usage: 149 MB
% 10.81/2.60 % (831730)Instructions burned: 1061 (million)
% 10.81/2.60 % (831831)Instruction limit reached!
% 10.81/2.60 % (831831)------------------------------
% 10.81/2.60 % (831831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.81/2.60 % (831831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/2.60 % (831831)CaDiCaL version: 2.1.3
% 10.81/2.60 % (831831)Termination reason: Instruction limit
% 10.81/2.60 % (831831)Termination phase: Blocked clause elimination
% 10.81/2.60 % (831831)Time elapsed: 0.080 s
% 10.81/2.60 % (831831)Peak memory usage: 95 MB
% 10.81/2.60 % (831831)Instructions burned: 127 (million)
% 10.81/2.60 % (831832)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3461999537:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 10.81/2.60 % (831832)Instruction limit reached!
% 10.81/2.60 % (831832)------------------------------
% 10.81/2.60 % (831832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.81/2.60 % (831832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/2.60 % (831832)CaDiCaL version: 2.1.3
% 10.81/2.60 % (831832)Termination reason: Instruction limit
% 10.81/2.60 % (831832)Termination phase: Saturation
% 10.81/2.60 % (831832)Time elapsed: 0.059 s
% 10.81/2.60 % (831832)Peak memory usage: 94 MB
% 10.81/2.60 % (831832)Instructions burned: 115 (million)
% 10.81/2.60 % (831836)lrs+10_1_sil=8000:sp=occurrence:random_seed=2529516370:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 10.81/2.60 % (831836)Refutation not found, incomplete strategy
% 10.81/2.60 % (831836)------------------------------
% 10.81/2.60 % (831836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.81/2.60 % (831836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/2.60 % (831836)CaDiCaL version: 2.1.3
% 10.81/2.60 % (831836)Termination reason: Refutation not found, incomplete strategy
% 10.81/2.60 % (831836)Time elapsed: 0.018 s
% 10.81/2.60 % (831836)Peak memory usage: 94 MB
% 10.81/2.60 % (831836)Instructions burned: 22 (million)
% 10.81/2.60 % (831837)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4254906571:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 10.81/2.60 % (831837)Refutation not found, incomplete strategy
% 10.81/2.60 % (831837)------------------------------
% 10.81/2.60 % (831837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.81/2.60 % (831837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.81/2.60 % (831837)CaDiCaL version: 2.1.3
% 10.81/2.60 % (831837)Termination reason: Refutation not found, incomplete strategy
% 10.81/2.60 % (831837)Time elapsed: 0.015 s
% 10.81/2.60 % (831837)Peak memory usage: 94 MB
% 10.81/2.60 % (831837)Instructions burned: 19 (million)
% 10.81/2.60 % (831731)------------------------------
% 10.81/2.60 % (831731)------------------------------
% 10.81/2.60 % (831730)------------------------------
% 10.81/2.60 % (831730)------------------------------
% 10.81/2.60 % (831839)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3503305744:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 10.81/2.60 % (831842)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2801262108:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 10.81/2.60 % (831836)------------------------------
% 10.81/2.60 % (831836)------------------------------
% 10.81/2.60 % (831842)Refutation not found, incomplete strategy
% 10.81/2.60 % (831842)------------------------------
% 12.98/2.79 % (831842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.79 % (831842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.79 % (831842)CaDiCaL version: 2.1.3
% 12.98/2.79 % (831842)Termination reason: Refutation not found, incomplete strategy
% 12.98/2.79 % (831842)Time elapsed: 0.019 s
% 12.98/2.79 % (831842)Peak memory usage: 94 MB
% 12.98/2.79 % (831842)Instructions burned: 25 (million)
% 12.98/2.79 % (831843)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3996789589:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 12.98/2.79 % (831837)------------------------------
% 12.98/2.79 % (831837)------------------------------
% 12.98/2.79 % (831843)Refutation not found, incomplete strategy
% 12.98/2.79 % (831843)------------------------------
% 12.98/2.79 % (831843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.79 % (831843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.79 % (831843)CaDiCaL version: 2.1.3
% 12.98/2.79 % (831843)Termination reason: Refutation not found, incomplete strategy
% 12.98/2.79 % (831843)Time elapsed: 0.026 s
% 12.98/2.79 % (831843)Peak memory usage: 95 MB
% 12.98/2.79 % (831843)Instructions burned: 36 (million)
% 12.98/2.79 % (831846)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=454494208:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 12.98/2.79 % (831848)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=2541487522:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 12.98/2.79 % (831842)------------------------------
% 12.98/2.79 % (831842)------------------------------
% 12.98/2.79 % (831848)Instruction limit reached!
% 12.98/2.79 % (831848)------------------------------
% 12.98/2.79 % (831848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.79 % (831848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.79 % (831848)CaDiCaL version: 2.1.3
% 12.98/2.79 % (831848)Termination reason: Instruction limit
% 12.98/2.79 % (831848)Termination phase: Saturation
% 12.98/2.79 % (831848)Time elapsed: 0.065 s
% 12.98/2.79 % (831848)Peak memory usage: 94 MB
% 12.98/2.79 % (831848)Instructions burned: 126 (million)
% 12.98/2.79 % (831729)First to succeed.
% 12.98/2.79 % (831729)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-831581"
% 12.98/2.79 % (831843)------------------------------
% 12.98/2.79 % (831843)------------------------------
% 12.98/2.79 % (831852)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3419525097:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/141Mi)
% 12.98/2.79 % (831851)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=856082095:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 12.98/2.79 % (831852)Refutation not found, incomplete strategy
% 12.98/2.79 % (831852)------------------------------
% 12.98/2.79 % (831852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.79 % (831852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.79 % (831852)CaDiCaL version: 2.1.3
% 12.98/2.79 % (831852)Termination reason: Refutation not found, incomplete strategy
% 12.98/2.79 % (831852)Time elapsed: 0.018 s
% 12.98/2.79 % (831852)Peak memory usage: 94 MB
% 12.98/2.79 % (831852)Instructions burned: 24 (million)
% 12.98/2.79 % (831729)Refutation found. Thanks to Tanya!
% 12.98/2.79 % SZS status Theorem for theBenchmark
% 12.98/2.79 % SZS output start Proof for theBenchmark
% See solution above
% 12.98/2.79 % (831729)------------------------------
% 12.98/2.79 % (831729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.98/2.79 % (831729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.98/2.79 % (831729)CaDiCaL version: 2.1.3
% 12.98/2.79 % (831729)Termination reason: Refutation
% 12.98/2.79 % (831729)Time elapsed: 1.397 s
% 12.98/2.79 % (831729)Peak memory usage: 200 MB
% 12.98/2.79 % (831729)Instructions burned: 3189 (million)
% 12.98/2.79 % (831729)------------------------------
% 12.98/2.79 % (831729)------------------------------
% 12.98/2.79 % (831581)Success in time 1.881 s
% 12.98/2.79 % Vampire exiting
%------------------------------------------------------------------------------