%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR044+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 09:42:15 AM UTC 2026
% Result : Theorem 0.36s 30.42s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 43 ( 11 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 97 ( 46 ~; 37 |; 6 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 44 ( 42 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8894,axiom,
! [X0,X1,X2,X3] :
( ( isa(X0,X1)
& relationallexists(X2,X1,X3) )
=> isa(f_relationallexistsfn(X0,X2,X1,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4_8894) ).
fof(f28214,axiom,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4_28214) ).
fof(f130861,axiom,
! [X0] :
( ( mtvisible(c_cyclistsmt)
& executionbyfiringsquad(X0) )
=> tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4_130885) ).
fof(f130862,axiom,
( mtvisible(c_cyclistsmt)
=> relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4_130886) ).
fof(f144558,axiom,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4_144585) ).
fof(f176540,axiom,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4_176570) ).
fof(f462212,axiom,
! [X0] :
( isa(X0,c_tptpcol_16_29490)
=> tptpcol_16_29490(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4_462257) ).
fof(f537021,axiom,
! [X0] :
( executionbyfiringsquad(X0)
=> isa(X0,c_executionbyfiringsquad) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4_537066) ).
fof(f540175,axiom,
! [X0,X1] :
( ( mtvisible(X0)
& genlmt(X0,X1) )
=> mtvisible(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4_540220) ).
fof(f540250,conjecture,
? [X0] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0)
& tptpcol_16_29490(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query244) ).
fof(f540251,negated_conjecture,
~ ? [X0] :
( mtvisible(c_tptp_member3633_mt)
=> ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0)
& tptpcol_16_29490(X0) ) ),
inference(negated_conjecture,[status(cth)],[f540250]) ).
fof(f540647,plain,
! [X0] :
( ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0)
| ~ tptpcol_16_29490(X0) )
& mtvisible(c_tptp_member3633_mt) ),
inference(ennf_transformation,[],[f540251]) ).
fof(f540659,plain,
! [X0] :
( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(X0) ),
inference(ennf_transformation,[],[f130861]) ).
fof(f540660,plain,
! [X0] :
( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(X0) ),
inference(flattening,[],[f540659]) ).
fof(f540678,plain,
! [X0] :
( tptpcol_16_29490(X0)
| ~ isa(X0,c_tptpcol_16_29490) ),
inference(ennf_transformation,[],[f462212]) ).
fof(f540679,plain,
! [X0] :
( isa(X0,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X0) ),
inference(ennf_transformation,[],[f537021]) ).
fof(f540688,plain,
! [X0,X1,X2,X3] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ isa(X0,X1)
| ~ relationallexists(X2,X1,X3) ),
inference(ennf_transformation,[],[f8894]) ).
fof(f540689,plain,
! [X0,X1,X2,X3] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ isa(X0,X1)
| ~ relationallexists(X2,X1,X3) ),
inference(flattening,[],[f540688]) ).
fof(f540690,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(ennf_transformation,[],[f130862]) ).
fof(f540744,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(ennf_transformation,[],[f540175]) ).
fof(f540745,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(flattening,[],[f540744]) ).
fof(f541182,plain,
mtvisible(c_tptp_member3633_mt),
inference(cnf_transformation,[],[f540647]) ).
fof(f541183,plain,
! [X0] :
( ~ tptpcol_16_29490(X0)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ),
inference(cnf_transformation,[],[f540647]) ).
fof(f541191,plain,
! [X0] :
( tptp_9_720(X0,f_relationallexistsfn(X0,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(X0) ),
inference(cnf_transformation,[],[f540660]) ).
fof(f541204,plain,
genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
inference(cnf_transformation,[],[f28214]) ).
fof(f541205,plain,
executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
inference(cnf_transformation,[],[f144558]) ).
fof(f541208,plain,
! [X0] :
( tptpcol_16_29490(X0)
| ~ isa(X0,c_tptpcol_16_29490) ),
inference(cnf_transformation,[],[f540678]) ).
fof(f541209,plain,
! [X0] :
( isa(X0,c_executionbyfiringsquad)
| ~ executionbyfiringsquad(X0) ),
inference(cnf_transformation,[],[f540679]) ).
fof(f541223,plain,
! [X2,X3,X0,X1] :
( isa(f_relationallexistsfn(X0,X2,X1,X3),X3)
| ~ isa(X0,X1)
| ~ relationallexists(X2,X1,X3) ),
inference(cnf_transformation,[],[f540689]) ).
fof(f541224,plain,
( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt) ),
inference(cnf_transformation,[],[f540690]) ).
fof(f541235,plain,
genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
inference(cnf_transformation,[],[f176540]) ).
fof(f541293,plain,
! [X0,X1] :
( mtvisible(X1)
| ~ mtvisible(X0)
| ~ genlmt(X0,X1) ),
inference(cnf_transformation,[],[f540745]) ).
fof(f542145,plain,
! [X0] :
( ~ genlmt(c_tptp_member3633_mt,X0)
| mtvisible(X0) ),
inference(resolution,[],[f541182,f541293]) ).
fof(f542146,plain,
! [X0] :
( ~ isa(X0,c_tptpcol_16_29490)
| ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X0) ),
inference(resolution,[],[f541183,f541208]) ).
fof(f542170,plain,
mtvisible(c_tptp_spindleheadmt),
inference(resolution,[],[f542145,f541204]) ).
fof(f542185,plain,
! [X0] :
( ~ genlmt(c_tptp_spindleheadmt,X0)
| mtvisible(X0) ),
inference(resolution,[],[f542170,f541293]) ).
fof(f542211,plain,
! [X2,X0,X1] :
( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,f_relationallexistsfn(X0,X1,X2,c_tptpcol_16_29490))
| ~ isa(X0,X2)
| ~ relationallexists(X1,X2,c_tptpcol_16_29490) ),
inference(resolution,[],[f542146,f541223]) ).
fof(f542348,plain,
( ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad)
| ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) ),
inference(resolution,[],[f542211,f541191]) ).
fof(f542349,plain,
( ~ relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
| ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) ),
inference(forward_subsumption_resolution,[],[f542348,f541209]) ).
fof(f542351,plain,
( ~ mtvisible(c_cyclistsmt)
| ~ executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90) ),
inference(forward_subsumption_resolution,[],[f542349,f541224]) ).
fof(f542353,plain,
~ mtvisible(c_cyclistsmt),
inference(forward_subsumption_resolution,[],[f542351,f541205]) ).
fof(f542509,plain,
mtvisible(c_cyclistsmt),
inference(resolution,[],[f542185,f541235]) ).
fof(f542513,plain,
$false,
inference(forward_subsumption_resolution,[],[f542509,f542353]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR044+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.31 % Computer : n026.cluster.edu
% 0.26/0.31 % Model : x86_64 x86_64
% 0.26/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.31 % Memory : 8046.5625MB
% 0.26/0.31 % OS : Linux 6.8.0-71-generic
% 0.26/0.31 % CPULimit : 300
% 0.26/0.31 % WCLimit : 300
% 0.26/0.31 % DateTime : Mon Sep 28 22:19:12 UTC 2026
% 0.26/0.31 % CPUTime :
% 0.26/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.37 Running first-order theorem proving
% 0.26/0.37 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
% 42.04/19.88 % (150831)Detected formulas, will run a generic FOF schedule.
% 42.04/19.88 % (151254)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=2901959081:i=141193_2850 on theBenchmark for (2850ds/141193Mi)
% 42.04/19.88 % (151255)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=213293443:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2850 on theBenchmark for (2850ds/134677Mi)
% 42.04/19.88 % (151256)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=2519257088:i=141695:sd=1:nm=32:gsp=on:ss=included_2850 on theBenchmark for (2850ds/141695Mi)
% 42.04/19.88 % (151257)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=26071043:i=109:sd=1:ins=1:gsp=on:ss=axioms_2850 on theBenchmark for (2850ds/109Mi)
% 42.04/19.88 % (151258)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1818018093:i=119:av=off:ss=axioms_2850 on theBenchmark for (2850ds/119Mi)
% 42.04/19.88 % (151259)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3431853306:s2a=on:i=139:gtg=position_2850 on theBenchmark for (2850ds/139Mi)
% 42.04/19.88 % (151260)dis-21_1_sil=8000:lcm=predicate:random_seed=2871486448:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2850 on theBenchmark for (2850ds/129Mi)
% 42.04/19.88 % (151257)Instruction limit reached!
% 42.04/19.88 % (151257)------------------------------
% 42.04/19.88 % (151257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.04/19.88 % (151257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.04/19.88 % (151257)CaDiCaL version: 2.1.3
% 42.04/19.88 % (151257)Termination reason: Instruction limit
% 42.04/19.88 % (151257)Termination phase: SInE selection
% 42.04/19.88 % (151257)Time elapsed: 0.126 s
% 42.04/19.88 % (151257)Peak memory usage: 462 MB
% 42.04/19.88 % (151257)Instructions burned: 109 (million)
% 42.04/19.88 % (151260)Instruction limit reached!
% 42.04/19.88 % (151260)------------------------------
% 42.04/19.88 % (151260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.04/19.88 % (151260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.04/19.88 % (151260)CaDiCaL version: 2.1.3
% 42.04/19.88 % (151260)Termination reason: Instruction limit
% 42.04/19.88 % (151260)Termination phase: SInE selection
% 42.04/19.88 % (151260)Time elapsed: 0.097 s
% 42.04/19.88 % (151260)Peak memory usage: 463 MB
% 42.04/19.88 % (151260)Instructions burned: 130 (million)
% 42.04/19.88 % (151258)Instruction limit reached!
% 42.04/19.88 % (151258)------------------------------
% 42.04/19.88 % (151258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.04/19.88 % (151258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.04/19.88 % (151258)CaDiCaL version: 2.1.3
% 42.04/19.88 % (151258)Termination reason: Instruction limit
% 42.04/19.88 % (151258)Termination phase: SInE selection
% 42.04/19.88 % (151258)Time elapsed: 0.138 s
% 42.04/19.88 % (151258)Peak memory usage: 462 MB
% 42.04/19.88 % (151258)Instructions burned: 119 (million)
% 42.04/19.88 % (151268)lrs+10_1_sil=8000:sp=occurrence:random_seed=2637122737:i=285:sd=3:ss=axioms:sgt=8_2846 on theBenchmark for (2846ds/285Mi)
% 42.04/19.88 % (151259)Instruction limit reached!
% 42.04/19.88 % (151259)------------------------------
% 42.04/19.88 % (151259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.04/19.88 % (151259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.04/19.88 % (151259)CaDiCaL version: 2.1.3
% 42.04/19.88 % (151259)Termination reason: Instruction limit
% 42.04/19.88 % (151259)Termination phase: Property scanning
% 42.04/19.88 % (151259)Time elapsed: 0.287 s
% 42.04/19.88 % (151259)Peak memory usage: 463 MB
% 42.04/19.88 % (151259)Instructions burned: 139 (million)
% 42.04/19.88 % (151269)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1742665871:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2846 on theBenchmark for (2846ds/157Mi)
% 42.04/19.88 % (151270)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2083323869:i=325:sd=1:ss=axioms:sgt=32_2845 on theBenchmark for (2845ds/325Mi)
% 42.04/19.88 % (151268)Instruction limit reached!
% 42.04/19.88 % (151268)------------------------------
% 42.04/19.88 % (151268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.04/19.88 % (151268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.81/21.61 % (151268)CaDiCaL version: 2.1.3
% 54.81/21.61 % (151268)Termination reason: Instruction limit
% 54.81/21.61 % (151268)Termination phase: SInE selection
% 54.81/21.61 % (151268)Time elapsed: 0.220 s
% 54.81/21.61 % (151268)Peak memory usage: 462 MB
% 54.81/21.61 % (151268)Instructions burned: 285 (million)
% 54.81/21.61 % (151272)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=3461888770:s2a=on:i=248:s2at=1.23:gtg=position_2844 on theBenchmark for (2844ds/248Mi)
% 54.81/21.61 % (151269)Instruction limit reached!
% 54.81/21.61 % (151269)------------------------------
% 54.81/21.61 % (151269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.81/21.61 % (151269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.81/21.61 % (151269)CaDiCaL version: 2.1.3
% 54.81/21.61 % (151269)Termination reason: Instruction limit
% 54.81/21.61 % (151269)Termination phase: Property scanning
% 54.81/21.61 % (151269)Time elapsed: 0.299 s
% 54.81/21.61 % (151269)Peak memory usage: 463 MB
% 54.81/21.61 % (151269)Instructions burned: 157 (million)
% 54.81/21.61 % (151275)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=227809365:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2842 on theBenchmark for (2842ds/294Mi)
% 54.81/21.61 % (151270)Instruction limit reached!
% 54.81/21.61 % (151270)------------------------------
% 54.81/21.61 % (151270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.81/21.61 % (151270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.81/21.61 % (151270)CaDiCaL version: 2.1.3
% 54.81/21.61 % (151270)Termination reason: Instruction limit
% 54.81/21.61 % (151270)Termination phase: SInE selection
% 54.81/21.61 % (151270)Time elapsed: 0.405 s
% 54.81/21.61 % (151270)Peak memory usage: 462 MB
% 54.81/21.61 % (151270)Instructions burned: 325 (million)
% 54.81/21.61 % (151272)Instruction limit reached!
% 54.81/21.61 % (151272)------------------------------
% 54.81/21.61 % (151272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.81/21.61 % (151272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.81/21.61 % (151272)CaDiCaL version: 2.1.3
% 54.81/21.61 % (151272)Termination reason: Instruction limit
% 54.81/21.61 % (151272)Termination phase: Property scanning
% 54.81/21.61 % (151272)Time elapsed: 0.384 s
% 54.81/21.61 % (151272)Peak memory usage: 463 MB
% 54.81/21.61 % (151272)Instructions burned: 248 (million)
% 54.81/21.61 % (151277)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=135145216:i=2350_2840 on theBenchmark for (2840ds/2350Mi)
% 54.81/21.61 % (151275)Instruction limit reached!
% 54.81/21.61 % (151275)------------------------------
% 54.81/21.61 % (151275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.81/21.61 % (151275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.81/21.61 % (151275)CaDiCaL version: 2.1.3
% 54.81/21.61 % (151275)Termination reason: Instruction limit
% 54.81/21.61 % (151275)Termination phase: SInE selection
% 54.81/21.61 % (151275)Time elapsed: 0.246 s
% 54.81/21.61 % (151275)Peak memory usage: 463 MB
% 54.81/21.61 % (151275)Instructions burned: 294 (million)
% 54.81/21.61 % (151279)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=788694744:cts=off:i=113:fsr=off:ss=included:sgt=4_2839 on theBenchmark for (2839ds/113Mi)
% 54.81/21.61 % (151282)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2649169489:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2837 on theBenchmark for (2837ds/114Mi)
% 54.81/21.61 % (151279)Instruction limit reached!
% 54.81/21.61 % (151279)------------------------------
% 54.81/21.61 % (151279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.81/21.61 % (151279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.81/21.61 % (151279)CaDiCaL version: 2.1.3
% 54.81/21.61 % (151279)Termination reason: Instruction limit
% 54.81/21.61 % (151279)Termination phase: SInE selection
% 54.81/21.61 % (151279)Time elapsed: 0.134 s
% 54.81/21.61 % (151279)Peak memory usage: 462 MB
% 54.81/21.61 % (151279)Instructions burned: 113 (million)
% 54.81/21.61 % (151281)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2864565480:i=127:av=off:fsr=off:sup=off_2837 on theBenchmark for (2837ds/127Mi)
% 54.81/21.61 % (151282)Instruction limit reached!
% 54.81/21.61 % (151282)------------------------------
% 54.81/21.61 % (151282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.81/21.61 % (151282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.13/29.63 % (151282)CaDiCaL version: 2.1.3
% 61.13/29.63 % (151282)Termination reason: Instruction limit
% 61.13/29.63 % (151282)Termination phase: Property scanning
% 61.13/29.63 % (151282)Time elapsed: 0.160 s
% 61.13/29.63 % (151282)Peak memory usage: 463 MB
% 61.13/29.63 % (151282)Instructions burned: 114 (million)
% 61.13/29.63 % (151281)Instruction limit reached!
% 61.13/29.63 % (151281)------------------------------
% 61.13/29.63 % (151281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.13/29.63 % (151281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.13/29.63 % (151281)CaDiCaL version: 2.1.3
% 61.13/29.63 % (151281)Termination reason: Instruction limit
% 61.13/29.63 % (151281)Termination phase: Preprocessing 1
% 61.13/29.63 % (151281)Time elapsed: 0.171 s
% 61.13/29.63 % (151281)Peak memory usage: 463 MB
% 61.13/29.63 % (151281)Instructions burned: 127 (million)
% 61.13/29.63 % (151286)lrs+10_1_sil=8000:sp=occurrence:random_seed=262849474:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2835 on theBenchmark for (2835ds/907Mi)
% 61.13/29.63 % (151287)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3474648886:i=437:sd=1:aac=none:ss=included_2833 on theBenchmark for (2833ds/437Mi)
% 61.13/29.63 % (151288)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3706362454:i=5202:ss=axioms:sgt=16_2833 on theBenchmark for (2833ds/5202Mi)
% 61.13/29.63 % (151287)Instruction limit reached!
% 61.13/29.63 % (151287)------------------------------
% 61.13/29.63 % (151287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.13/29.63 % (151287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.13/29.63 % (151287)CaDiCaL version: 2.1.3
% 61.13/29.63 % (151287)Termination reason: Instruction limit
% 61.13/29.63 % (151287)Termination phase: SInE selection
% 61.13/29.63 % (151287)Time elapsed: 0.330 s
% 61.13/29.63 % (151287)Peak memory usage: 462 MB
% 61.13/29.63 % (151287)Instructions burned: 439 (million)
% 61.13/29.63 % (151292)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=921799637:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2828 on theBenchmark for (2828ds/134Mi)
% 61.13/29.63 % (151292)Instruction limit reached!
% 61.13/29.63 % (151292)------------------------------
% 61.13/29.63 % (151292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.13/29.63 % (151292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.13/29.63 % (151292)CaDiCaL version: 2.1.3
% 61.13/29.63 % (151292)Termination reason: Instruction limit
% 61.13/29.63 % (151292)Termination phase: SInE selection
% 61.13/29.63 % (151292)Time elapsed: 0.105 s
% 61.13/29.63 % (151292)Peak memory usage: 463 MB
% 61.13/29.63 % (151292)Instructions burned: 134 (million)
% 61.13/29.63 % (151294)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3739209685:st=8:i=592:sd=3:ep=RST:ss=axioms_2824 on theBenchmark for (2824ds/592Mi)
% 61.13/29.63 % (151286)Instruction limit reached!
% 61.13/29.63 % (151286)------------------------------
% 61.13/29.63 % (151286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.13/29.63 % (151286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.13/29.63 % (151286)CaDiCaL version: 2.1.3
% 61.13/29.63 % (151286)Termination reason: Instruction limit
% 61.13/29.63 % (151286)Termination phase: SInE selection
% 61.13/29.63 % (151286)Time elapsed: 1.112 s
% 61.13/29.63 % (151286)Peak memory usage: 474 MB
% 61.13/29.63 % (151286)Instructions burned: 907 (million)
% 61.13/29.63 % (151296)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4071130675:st=3:i=13193:sd=3:ss=axioms_2821 on theBenchmark for (2821ds/13193Mi)
% 61.13/29.63 % (151294)Instruction limit reached!
% 61.13/29.63 % (151294)------------------------------
% 61.13/29.63 % (151294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.13/29.63 % (151294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.13/29.63 % (151294)CaDiCaL version: 2.1.3
% 61.13/29.63 % (151294)Termination reason: Instruction limit
% 61.13/29.63 % (151294)Termination phase: SInE selection
% 61.13/29.63 % (151294)Time elapsed: 0.542 s
% 61.13/29.63 % (151294)Peak memory usage: 469 MB
% 61.13/29.63 % (151294)Instructions burned: 592 (million)
% 61.13/29.63 % (151298)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=3969788050:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2816 on theBenchmark for (2816ds/125Mi)
% 61.13/29.63 % (151298)Instruction limit reached!
% 61.13/29.63 % (151298)------------------------------
% 61.13/29.63 % (151298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.13/29.63 % (151298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.13/29.63 % (151298)CaDiCaL version: 2.1.3
% 61.13/29.63 % (151298)Termination reason: Instruction limit
% 61.13/29.63 % (151298)Termination phase: Property scanning
% 61.13/29.63 % (151298)Time elapsed: 0.218 s
% 61.13/29.63 % (151298)Peak memory usage: 463 MB
% 61.13/29.63 % (151298)Instructions burned: 126 (million)
% 61.13/29.63 % (151300)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=77264390:i=134:gtgl=5:slsql=off:gtg=exists_sym_2811 on theBenchmark for (2811ds/134Mi)
% 61.13/29.63 % (151300)Instruction limit reached!
% 61.13/29.63 % (151300)------------------------------
% 61.13/29.63 % (151300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.13/29.63 % (151300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.13/29.63 % (151300)CaDiCaL version: 2.1.3
% 61.13/29.63 % (151300)Termination reason: Instruction limit
% 61.13/29.63 % (151300)Termination phase: Property scanning
% 61.13/29.63 % (151300)Time elapsed: 0.167 s
% 61.13/29.63 % (151300)Peak memory usage: 463 MB
% 61.13/29.63 % (151300)Instructions burned: 135 (million)
% 61.13/29.63 % (151277)Instruction limit reached!
% 61.13/29.63 % (151277)------------------------------
% 61.13/29.63 % (151277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.13/29.63 % (151277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.13/29.63 % (151277)CaDiCaL version: 2.1.3
% 61.13/29.63 % (151277)Termination reason: Instruction limit
% 61.13/29.63 % (151277)Termination phase: Unused predicate definition removal
% 61.13/29.63 % (151277)Time elapsed: 3.037 s
% 61.13/29.63 % (151277)Peak memory usage: 555 MB
% 61.13/29.63 % (151277)Instructions burned: 2350 (million)
% 61.13/29.63 % (151302)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2650361209:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2808 on theBenchmark for (2808ds/141Mi)
% 61.13/29.63 % (151302)Instruction limit reached!
% 61.13/29.63 % (151302)------------------------------
% 61.13/29.63 % (151302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.13/29.63 % (151302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.13/29.63 % (151302)CaDiCaL version: 2.1.3
% 61.13/29.63 % (151302)Termination reason: Instruction limit
% 61.13/29.63 % (151302)Termination phase: SInE selection
% 61.13/29.63 % (151302)Time elapsed: 0.106 s
% 61.13/29.63 % (151302)Peak memory usage: 462 MB
% 61.13/29.63 % (151302)Instructions burned: 142 (million)
% 61.13/29.63 % (151303)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2891123242:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2806 on theBenchmark for (2806ds/431Mi)
% 61.13/29.63 % (151305)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2479853768:i=6060:aac=none:ins=25_2805 on theBenchmark for (2805ds/6060Mi)
% 61.13/29.63 % (151303)Instruction limit reached!
% 61.13/29.63 % (151303)------------------------------
% 61.13/29.63 % (151303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.13/29.63 % (151303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.13/29.63 % (151303)CaDiCaL version: 2.1.3
% 61.13/29.63 % (151303)Termination reason: Instruction limit
% 61.13/29.63 % (151303)Termination phase: SInE selection
% 61.13/29.63 % (151303)Time elapsed: 0.335 s
% 61.13/29.63 % (151303)Peak memory usage: 463 MB
% 61.13/29.63 % (151303)Instructions burned: 432 (million)
% 61.13/29.63 % (151308)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=4226430295:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2800 on theBenchmark for (2800ds/150Mi)
% 61.13/29.63 % (151308)Instruction limit reached!
% 61.13/29.63 % (151308)------------------------------
% 61.13/29.63 % (151308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.13/29.63 % (151308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.13/29.63 % (151308)CaDiCaL version: 2.1.3
% 61.13/29.63 % (151308)Termination reason: Instruction limit
% 61.13/29.63 % (151308)Termination phase: SInE selection
% 61.13/29.63 % (151308)Time elapsed: 0.117 s
% 61.13/29.63 % (151308)Peak memory usage: 462 MB
% 61.13/29.63 % (151308)Instructions burned: 150 (million)
% 61.13/29.63 % (151310)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=212898401:i=14155:bd=all_2797 on theBenchmark for (2797ds/14155Mi)
% 0.36/30.42 % (151288)Instruction limit reached!
% 0.36/30.42 % (151288)------------------------------
% 0.36/30.42 % (151288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.36/30.42 % (151288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/30.42 % (151288)CaDiCaL version: 2.1.3
% 0.36/30.42 % (151288)Termination reason: Instruction limit
% 0.36/30.42 % (151288)Termination phase: Saturation
% 0.36/30.42 % (151288)Time elapsed: 5.739 s
% 0.36/30.42 % (151288)Peak memory usage: 711 MB
% 0.36/30.42 % (151288)Instructions burned: 5202 (million)
% 0.36/30.42 % (151312)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2982461386:i=667:av=off:fsr=off_2772 on theBenchmark for (2772ds/667Mi)
% 0.36/30.42 % (151312)Instruction limit reached!
% 0.36/30.42 % (151312)------------------------------
% 0.36/30.42 % (151312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.36/30.42 % (151312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/30.42 % (151312)CaDiCaL version: 2.1.3
% 0.36/30.42 % (151312)Termination reason: Instruction limit
% 0.36/30.42 % (151312)Termination phase: Preprocessing 1
% 0.36/30.42 % (151312)Time elapsed: 0.910 s
% 0.36/30.42 % (151312)Peak memory usage: 463 MB
% 0.36/30.42 % (151312)Instructions burned: 667 (million)
% 0.36/30.42 % (151314)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1204745195:s2a=on:i=185:s2at=1.8:fdi=4_2759 on theBenchmark for (2759ds/185Mi)
% 0.36/30.42 % (151314)Instruction limit reached!
% 0.36/30.42 % (151314)------------------------------
% 0.36/30.42 % (151314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.36/30.42 % (151314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/30.42 % (151314)CaDiCaL version: 2.1.3
% 0.36/30.42 % (151314)Termination reason: Instruction limit
% 0.36/30.42 % (151314)Termination phase: SInE selection
% 0.36/30.42 % (151314)Time elapsed: 0.234 s
% 0.36/30.42 % (151314)Peak memory usage: 462 MB
% 0.36/30.42 % (151314)Instructions burned: 185 (million)
% 0.36/30.42 % (151316)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3284445240:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2754 on theBenchmark for (2754ds/193Mi)
% 0.36/30.42 % (151316)Instruction limit reached!
% 0.36/30.42 % (151316)------------------------------
% 0.36/30.42 % (151316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.36/30.42 % (151316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/30.42 % (151316)CaDiCaL version: 2.1.3
% 0.36/30.42 % (151316)Termination reason: Instruction limit
% 0.36/30.42 % (151316)Termination phase: SInE selection
% 0.36/30.42 % (151316)Time elapsed: 0.244 s
% 0.36/30.42 % (151316)Peak memory usage: 462 MB
% 0.36/30.42 % (151316)Instructions burned: 193 (million)
% 0.36/30.42 % (151318)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=24751265:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2749 on theBenchmark for (2749ds/4850Mi)
% 0.36/30.42 % (151305)Instruction limit reached!
% 0.36/30.42 % (151305)------------------------------
% 0.36/30.42 % (151305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.36/30.42 % (151305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/30.42 % (151305)CaDiCaL version: 2.1.3
% 0.36/30.42 % (151305)Termination reason: Instruction limit
% 0.36/30.42 % (151305)Termination phase: Property scanning
% 0.36/30.42 % (151305)Time elapsed: 7.594 s
% 0.36/30.42 % (151305)Peak memory usage: 701 MB
% 0.36/30.42 % (151305)Instructions burned: 6061 (million)
% 0.36/30.42 % (151318)First to succeed.
% 0.36/30.42 % (151318)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-150831"
% 0.36/30.42 % (151320)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=218560169:i=12111:sd=1:ss=included_2725 on theBenchmark for (2725ds/12111Mi)
% 0.36/30.42 % (151318)Refutation found. Thanks to Tanya!
% 0.36/30.42 % SZS status Theorem for theBenchmark
% 0.36/30.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.36/30.42 % (151318)------------------------------
% 0.36/30.42 % (151318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.36/30.42 % (151318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/30.42 % (151318)CaDiCaL version: 2.1.3
% 0.36/30.42 % (151318)Termination reason: Refutation
% 0.36/30.42 % (151318)Time elapsed: 2.164 s
% 0.36/30.42 % (151318)Peak memory usage: 536 MB
% 0.36/30.42 % (151318)Instructions burned: 1629 (million)
% 0.36/30.42 % (151318)------------------------------
% 0.36/30.42 % (151318)------------------------------
% 0.36/30.42 % (150831)Success in time 28.534 s
% 0.36/30.42 % Vampire exiting
%------------------------------------------------------------------------------