%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR214+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 09:44:06 AM UTC 2026
% Result : Theorem 19.11s 3.58s
% Output : Refutation 20.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 20
% Syntax : Number of formulae : 102 ( 27 unt; 5 def)
% Number of atoms : 231 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 243 ( 114 ~; 104 |; 15 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-1 aty)
% Number of variables : 73 ( 0 sgn 65 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2] :
( ( p__d__subclass(X0,X1)
& p__d__subclass(X1,X2) )
=> p__d__subclass(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',predefinitionsA8) ).
fof(f4,axiom,
! [X0,X1,X2] :
( ( p__d__instance(X0,X1)
& p__d__subclass(X1,X2) )
=> p__d__instance(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',predefinitionsA12) ).
fof(f110,axiom,
! [X0] :
( p__d__subclass(X0,c__Entity)
=> ? [X1] : p__d__instance(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mergeA176) ).
fof(f112,axiom,
p__d__subclass(c__Physical,c__Entity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mergeA178) ).
fof(f233,axiom,
p__d__subclass(c__Process,c__Physical),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mergeA324) ).
fof(f234,axiom,
p__d__subclass(c__DualObjectProcess,c__Process),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mergeA325) ).
fof(f1776,axiom,
p__d__subclass(c__Transaction,c__DualObjectProcess),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mergeA2541) ).
fof(f1778,axiom,
p__d__subclass(c__FinancialTransaction,c__Transaction),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mergeA2543) ).
fof(f1785,axiom,
p__d__subclass(c__CommercialService,c__FinancialTransaction),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mergeA2552) ).
fof(f2334,axiom,
p__d__subclass(c__Business,c__Organization),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mergeA3222) ).
fof(f3501,axiom,
p__d__subclass(c__FinancialCompany,c__Business),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',miloA1049) ).
fof(f3510,axiom,
p__d__subclass(c__FinancialService,c__CommercialService),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',miloA1060) ).
fof(f3511,axiom,
! [X0] :
( p__d__instance(X0,c__FinancialService)
=> ? [X1] :
( p__d__instance(X1,c__FinancialCompany)
& p__agent(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',miloA1061) ).
fof(f6883,axiom,
! [X0,X1] :
( p__agent(X0,X1)
=> ( p__d__instance(X1,c__Agent)
& p__d__instance(X0,c__Process) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',typeA30) ).
fof(f7433,conjecture,
? [X0,X1] :
( p__d__instance(X0,c__Process)
& p__d__instance(X1,c__Agent)
& p__d__instance(X0,c__FinancialTransaction)
& p__d__instance(X1,c__Organization)
& p__agent(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',agentRelation0775) ).
fof(f7434,negated_conjecture,
~ ? [X0,X1] :
( p__d__instance(X0,c__Process)
& p__d__instance(X1,c__Agent)
& p__d__instance(X0,c__FinancialTransaction)
& p__d__instance(X1,c__Organization)
& p__agent(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f7433]) ).
fof(f7566,plain,
! [X0,X1] :
( ~ p__d__instance(X0,c__Process)
| ~ p__d__instance(X1,c__Agent)
| ~ p__d__instance(X0,c__FinancialTransaction)
| ~ p__d__instance(X1,c__Organization)
| ~ p__agent(X0,X1) ),
inference(ennf_transformation,[],[f7434]) ).
fof(f7567,plain,
! [X0,X1,X2] :
( p__d__instance(X0,X2)
| ~ p__d__instance(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f7568,plain,
! [X0,X1,X2] :
( p__d__instance(X0,X2)
| ~ p__d__instance(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(flattening,[],[f7567]) ).
fof(f7569,plain,
! [X0,X1] :
( ( p__d__instance(X1,c__Agent)
& p__d__instance(X0,c__Process) )
| ~ p__agent(X0,X1) ),
inference(ennf_transformation,[],[f6883]) ).
fof(f7614,plain,
! [X0,X1,X2] :
( p__d__subclass(X0,X2)
| ~ p__d__subclass(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f7615,plain,
! [X0,X1,X2] :
( p__d__subclass(X0,X2)
| ~ p__d__subclass(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(flattening,[],[f7614]) ).
fof(f8881,plain,
! [X0] :
( ? [X1] : p__d__instance(X1,X0)
| ~ p__d__subclass(X0,c__Entity) ),
inference(ennf_transformation,[],[f110]) ).
fof(f9071,plain,
! [X0] :
( ? [X1] :
( p__d__instance(X1,c__FinancialCompany)
& p__agent(X0,X1) )
| ~ p__d__instance(X0,c__FinancialService) ),
inference(ennf_transformation,[],[f3511]) ).
fof(f9711,plain,
! [X0] :
( p__d__instance(sK540(X0),X0)
| ~ p__d__subclass(X0,c__Entity) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK540]),skolemize(X1,sK540(X0))],[f8881]) ).
fof(f9788,plain,
! [X0] :
( ( p__d__instance(sK598(X0),c__FinancialCompany)
& p__agent(X0,sK598(X0)) )
| ~ p__d__instance(X0,c__FinancialService) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK598]),skolemize(X1,sK598(X0))],[f9071]) ).
fof(f9821,plain,
! [X0,X1] :
( ~ p__d__instance(X0,c__Process)
| ~ p__d__instance(X1,c__Agent)
| ~ p__d__instance(X0,c__FinancialTransaction)
| ~ p__d__instance(X1,c__Organization)
| ~ p__agent(X0,X1) ),
inference(cnf_transformation,[],[f7566]) ).
fof(f9822,plain,
! [X2,X0,X1] :
( p__d__instance(X0,X2)
| ~ p__d__instance(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(cnf_transformation,[],[f7568]) ).
fof(f9823,plain,
! [X0,X1] :
( ~ p__agent(X0,X1)
| p__d__instance(X0,c__Process) ),
inference(cnf_transformation,[],[f7569]) ).
fof(f9824,plain,
! [X0,X1] :
( ~ p__agent(X0,X1)
| p__d__instance(X1,c__Agent) ),
inference(cnf_transformation,[],[f7569]) ).
fof(f9867,plain,
p__d__subclass(c__Process,c__Physical),
inference(cnf_transformation,[],[f233]) ).
fof(f9878,plain,
p__d__subclass(c__Business,c__Organization),
inference(cnf_transformation,[],[f2334]) ).
fof(f9893,plain,
p__d__subclass(c__CommercialService,c__FinancialTransaction),
inference(cnf_transformation,[],[f1785]) ).
fof(f9899,plain,
p__d__subclass(c__FinancialTransaction,c__Transaction),
inference(cnf_transformation,[],[f1778]) ).
fof(f9900,plain,
! [X2,X0,X1] :
( p__d__subclass(X0,X2)
| ~ p__d__subclass(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(cnf_transformation,[],[f7615]) ).
fof(f10455,plain,
p__d__subclass(c__FinancialCompany,c__Business),
inference(cnf_transformation,[],[f3501]) ).
fof(f10544,plain,
p__d__subclass(c__FinancialService,c__CommercialService),
inference(cnf_transformation,[],[f3510]) ).
fof(f10556,plain,
p__d__subclass(c__Transaction,c__DualObjectProcess),
inference(cnf_transformation,[],[f1776]) ).
fof(f12797,plain,
p__d__subclass(c__Physical,c__Entity),
inference(cnf_transformation,[],[f112]) ).
fof(f12798,plain,
! [X0] :
( p__d__instance(sK540(X0),X0)
| ~ p__d__subclass(X0,c__Entity) ),
inference(cnf_transformation,[],[f9711]) ).
fof(f13161,plain,
! [X0] :
( p__agent(X0,sK598(X0))
| ~ p__d__instance(X0,c__FinancialService) ),
inference(cnf_transformation,[],[f9788]) ).
fof(f13162,plain,
! [X0] :
( p__d__instance(sK598(X0),c__FinancialCompany)
| ~ p__d__instance(X0,c__FinancialService) ),
inference(cnf_transformation,[],[f9788]) ).
fof(f13322,plain,
p__d__subclass(c__DualObjectProcess,c__Process),
inference(cnf_transformation,[],[f234]) ).
fof(f13494,plain,
! [X0,X1] :
( ~ p__d__instance(X1,c__Agent)
| ~ p__d__instance(X0,c__FinancialTransaction)
| ~ p__d__instance(X1,c__Organization)
| ~ p__agent(X0,X1) ),
inference(forward_subsumption_resolution,[],[f9821,f9823]) ).
fof(f13495,plain,
! [X0,X1] :
( ~ p__agent(X0,X1)
| ~ p__d__instance(X1,c__Organization)
| ~ p__d__instance(X0,c__FinancialTransaction) ),
inference(forward_subsumption_resolution,[],[f13494,f9824]) ).
fof(f13506,plain,
! [X0] :
( ~ p__d__instance(sK598(X0),c__Organization)
| ~ p__d__instance(X0,c__FinancialTransaction)
| ~ p__d__instance(X0,c__FinancialService) ),
inference(resolution,[],[f13495,f13161]) ).
fof(f13783,plain,
! [X0,X1] :
( ~ p__d__instance(sK598(X0),X1)
| ~ p__d__instance(X0,c__FinancialService)
| ~ p__d__instance(X0,c__FinancialTransaction)
| ~ p__d__subclass(X1,c__Organization) ),
inference(resolution,[],[f13506,f9822]) ).
fof(f13799,definition,
( spl625_5
<=> p__d__subclass(c__FinancialTransaction,c__Entity) ),
introduced(definition,[new_symbols(definition,[spl625_5])],[avatar_definition]) ).
fof(f13800,plain,
( p__d__subclass(c__FinancialTransaction,c__Entity)
| ~ spl625_5 ),
inference(avatar_component_clause,[],[f13799]) ).
fof(f13801,plain,
( ~ p__d__subclass(c__FinancialTransaction,c__Entity)
| spl625_5 ),
inference(avatar_component_clause,[],[f13799]) ).
fof(f13806,plain,
( ! [X0] :
( ~ p__d__subclass(c__FinancialTransaction,X0)
| ~ p__d__subclass(X0,c__Entity) )
| spl625_5 ),
inference(resolution,[],[f13801,f9900]) ).
fof(f13809,plain,
( ~ p__d__subclass(c__Transaction,c__Entity)
| spl625_5 ),
inference(resolution,[],[f13806,f9899]) ).
fof(f13810,plain,
( ! [X0] :
( ~ p__d__subclass(c__Transaction,X0)
| ~ p__d__subclass(X0,c__Entity) )
| spl625_5 ),
inference(resolution,[],[f13809,f9900]) ).
fof(f13813,plain,
( ~ p__d__subclass(c__DualObjectProcess,c__Entity)
| spl625_5 ),
inference(resolution,[],[f13810,f10556]) ).
fof(f13815,plain,
( ! [X0] :
( ~ p__d__subclass(c__DualObjectProcess,X0)
| ~ p__d__subclass(X0,c__Entity) )
| spl625_5 ),
inference(resolution,[],[f13813,f9900]) ).
fof(f13819,plain,
( ~ p__d__subclass(c__Process,c__Entity)
| spl625_5 ),
inference(resolution,[],[f13815,f13322]) ).
fof(f13821,plain,
( ! [X0] :
( ~ p__d__subclass(c__Process,X0)
| ~ p__d__subclass(X0,c__Entity) )
| spl625_5 ),
inference(resolution,[],[f13819,f9900]) ).
fof(f13828,plain,
( ~ p__d__subclass(c__Physical,c__Entity)
| spl625_5 ),
inference(resolution,[],[f13821,f9867]) ).
fof(f13829,plain,
( $false
| spl625_5 ),
inference(forward_subsumption_resolution,[],[f13828,f12797]) ).
fof(f13830,plain,
spl625_5,
inference(avatar_contradiction_clause,[],[f13829]) ).
fof(f15110,plain,
! [X0] :
( ~ p__d__instance(X0,c__FinancialService)
| ~ p__d__instance(X0,c__FinancialTransaction)
| ~ p__d__subclass(c__FinancialCompany,c__Organization)
| ~ p__d__instance(X0,c__FinancialService) ),
inference(resolution,[],[f13783,f13162]) ).
fof(f15122,plain,
! [X0] :
( ~ p__d__instance(X0,c__FinancialService)
| ~ p__d__instance(X0,c__FinancialTransaction)
| ~ p__d__subclass(c__FinancialCompany,c__Organization) ),
inference(duplicate_literal_removal,[],[f15110]) ).
fof(f15241,definition,
( spl625_53
<=> p__d__subclass(c__FinancialCompany,c__Organization) ),
introduced(definition,[new_symbols(definition,[spl625_53])],[avatar_definition]) ).
fof(f15243,plain,
( ~ p__d__subclass(c__FinancialCompany,c__Organization)
| spl625_53 ),
inference(avatar_component_clause,[],[f15241]) ).
fof(f15245,definition,
( spl625_54
<=> ! [X0] :
( ~ p__d__instance(X0,c__FinancialService)
| ~ p__d__instance(X0,c__FinancialTransaction) ) ),
introduced(definition,[new_symbols(definition,[spl625_54])],[avatar_definition]) ).
fof(f15246,plain,
( ! [X0] :
( ~ p__d__instance(X0,c__FinancialService)
| ~ p__d__instance(X0,c__FinancialTransaction) )
| ~ spl625_54 ),
inference(avatar_component_clause,[],[f15245]) ).
fof(f15247,plain,
( ~ spl625_53
| spl625_54 ),
inference(avatar_split_clause,[],[f15122,f15245,f15241]) ).
fof(f15248,plain,
( ! [X0] :
( ~ p__d__subclass(c__FinancialCompany,X0)
| ~ p__d__subclass(X0,c__Organization) )
| spl625_53 ),
inference(resolution,[],[f15243,f9900]) ).
fof(f15251,plain,
( ~ p__d__subclass(c__Business,c__Organization)
| spl625_53 ),
inference(resolution,[],[f15248,f10455]) ).
fof(f15252,plain,
( $false
| spl625_53 ),
inference(forward_subsumption_resolution,[],[f15251,f9878]) ).
fof(f15253,plain,
spl625_53,
inference(avatar_contradiction_clause,[],[f15252]) ).
fof(f15275,plain,
( ~ p__d__instance(sK540(c__FinancialService),c__FinancialTransaction)
| ~ p__d__subclass(c__FinancialService,c__Entity)
| ~ spl625_54 ),
inference(resolution,[],[f15246,f12798]) ).
fof(f15311,definition,
( spl625_55
<=> p__d__subclass(c__FinancialService,c__Entity) ),
introduced(definition,[new_symbols(definition,[spl625_55])],[avatar_definition]) ).
fof(f15312,plain,
( p__d__subclass(c__FinancialService,c__Entity)
| ~ spl625_55 ),
inference(avatar_component_clause,[],[f15311]) ).
fof(f15313,plain,
( ~ p__d__subclass(c__FinancialService,c__Entity)
| spl625_55 ),
inference(avatar_component_clause,[],[f15311]) ).
fof(f15315,definition,
( spl625_56
<=> p__d__instance(sK540(c__FinancialService),c__FinancialTransaction) ),
introduced(definition,[new_symbols(definition,[spl625_56])],[avatar_definition]) ).
fof(f15317,plain,
( ~ p__d__instance(sK540(c__FinancialService),c__FinancialTransaction)
| spl625_56 ),
inference(avatar_component_clause,[],[f15315]) ).
fof(f15318,plain,
( ~ spl625_55
| ~ spl625_56
| ~ spl625_54 ),
inference(avatar_split_clause,[],[f15275,f15245,f15315,f15311]) ).
fof(f15319,plain,
( ! [X0] :
( ~ p__d__subclass(c__FinancialService,X0)
| ~ p__d__subclass(X0,c__Entity) )
| spl625_55 ),
inference(resolution,[],[f15313,f9900]) ).
fof(f15322,plain,
( ~ p__d__subclass(c__CommercialService,c__Entity)
| spl625_55 ),
inference(resolution,[],[f15319,f10544]) ).
fof(f15323,plain,
( ! [X0] :
( ~ p__d__subclass(c__CommercialService,X0)
| ~ p__d__subclass(X0,c__Entity) )
| spl625_55 ),
inference(resolution,[],[f15322,f9900]) ).
fof(f15326,plain,
( ~ p__d__subclass(c__FinancialTransaction,c__Entity)
| spl625_55 ),
inference(resolution,[],[f15323,f9893]) ).
fof(f15328,plain,
( $false
| ~ spl625_5
| spl625_55 ),
inference(forward_subsumption_resolution,[],[f15326,f13800]) ).
fof(f15329,plain,
( ~ spl625_5
| spl625_55 ),
inference(avatar_contradiction_clause,[],[f15328]) ).
fof(f15347,plain,
( ! [X0] :
( ~ p__d__instance(sK540(c__FinancialService),X0)
| ~ p__d__subclass(X0,c__FinancialTransaction) )
| spl625_56 ),
inference(resolution,[],[f15317,f9822]) ).
fof(f15830,plain,
( ~ p__d__subclass(c__FinancialService,c__FinancialTransaction)
| ~ p__d__subclass(c__FinancialService,c__Entity)
| spl625_56 ),
inference(resolution,[],[f15347,f12798]) ).
fof(f15842,plain,
( ~ p__d__subclass(c__FinancialService,c__FinancialTransaction)
| ~ spl625_55
| spl625_56 ),
inference(forward_subsumption_resolution,[],[f15830,f15312]) ).
fof(f15843,plain,
( ! [X0] :
( ~ p__d__subclass(c__FinancialService,X0)
| ~ p__d__subclass(X0,c__FinancialTransaction) )
| ~ spl625_55
| spl625_56 ),
inference(resolution,[],[f15842,f9900]) ).
fof(f15847,plain,
( ~ p__d__subclass(c__CommercialService,c__FinancialTransaction)
| ~ spl625_55
| spl625_56 ),
inference(resolution,[],[f15843,f10544]) ).
fof(f15848,plain,
( $false
| ~ spl625_55
| spl625_56 ),
inference(forward_subsumption_resolution,[],[f15847,f9893]) ).
fof(f15849,plain,
( ~ spl625_55
| spl625_56 ),
inference(avatar_contradiction_clause,[],[f15848]) ).
cnf(s5,plain,
spl625_5,
inference(sat_conversion,[],[f13830]) ).
cnf(s31,plain,
( ~ spl625_53
| spl625_54 ),
inference(sat_conversion,[],[f15247]) ).
cnf(s32,plain,
spl625_53,
inference(sat_conversion,[],[f15253]) ).
cnf(s33,plain,
( ~ spl625_54
| ~ spl625_55
| ~ spl625_56 ),
inference(sat_conversion,[],[f15318]) ).
cnf(s34,plain,
( ~ spl625_5
| spl625_55 ),
inference(sat_conversion,[],[f15329]) ).
cnf(s45,plain,
( ~ spl625_55
| spl625_56 ),
inference(sat_conversion,[],[f15849]) ).
cnf(s51,plain,
spl625_54,
inference(rat,[],[s31,s32]) ).
cnf(s55,plain,
spl625_55,
inference(rat,[],[s34,s5]) ).
cnf(s56,plain,
spl625_56,
inference(rat,[],[s45,s55]) ).
cnf(s57,plain,
$false,
inference(rat,[],[s33,s51,s56,s55]) ).
fof(f15850,plain,
$false,
inference(avatar_sat_refutation,[],[s57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR214+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.20 % Computer : n017.cluster.edu
% 0.06/0.20 % Model : x86_64 x86_64
% 0.06/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.20 % Memory : 8046.5625MB
% 0.06/0.20 % OS : Linux 6.8.0-71-generic
% 0.06/0.20 % CPULimit : 300
% 0.06/0.20 % WCLimit : 300
% 0.06/0.20 % DateTime : Mon Sep 28 23:40:52 UTC 2026
% 0.06/0.20 % CPUTime :
% 0.06/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.23 Running first-order theorem proving
% 0.06/0.23 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
% 12.27/2.73 % (4135956)Detected formulas, will run a generic FOF schedule.
% 12.27/2.73 % (4136094)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2877994554:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 12.27/2.73 % (4136094)Refutation not found, incomplete strategy
% 12.27/2.73 % (4136094)------------------------------
% 12.27/2.73 % (4136094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.27/2.73 % (4136094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.27/2.73 % (4136094)CaDiCaL version: 2.1.3
% 12.27/2.73 % (4136094)Termination reason: Refutation not found, incomplete strategy
% 12.27/2.73 % (4136094)Time elapsed: 0.010 s
% 12.27/2.73 % (4136094)Peak memory usage: 93 MB
% 12.27/2.73 % (4136094)Instructions burned: 23 (million)
% 12.27/2.73 % (4136097)dis-21_1_sil=8000:lcm=predicate:random_seed=2005723212: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)
% 12.27/2.73 % (4136092)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=1689765245:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 12.27/2.73 % (4136095)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2374583919:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 12.27/2.73 % (4136096)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2668007095:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 12.27/2.73 % (4136093)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=1657062834:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 12.27/2.73 % (4136091)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=3678365541:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 12.27/2.73 % (4136097)Instruction limit reached!
% 12.27/2.73 % (4136097)------------------------------
% 12.27/2.73 % (4136097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.27/2.73 % (4136097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.27/2.73 % (4136097)CaDiCaL version: 2.1.3
% 12.27/2.73 % (4136097)Termination reason: Instruction limit
% 12.27/2.73 % (4136097)Termination phase: Saturation
% 12.27/2.73 % (4136097)Time elapsed: 0.082 s
% 12.27/2.73 % (4136097)Peak memory usage: 95 MB
% 12.27/2.73 % (4136097)Instructions burned: 130 (million)
% 12.27/2.73 % (4136095)Instruction limit reached!
% 12.27/2.73 % (4136095)------------------------------
% 12.27/2.73 % (4136095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.27/2.73 % (4136095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.27/2.73 % (4136095)CaDiCaL version: 2.1.3
% 12.27/2.73 % (4136095)Termination reason: Instruction limit
% 12.27/2.73 % (4136095)Termination phase: Saturation
% 12.27/2.73 % (4136095)Time elapsed: 0.104 s
% 12.27/2.73 % (4136095)Peak memory usage: 93 MB
% 12.27/2.73 % (4136095)Instructions burned: 120 (million)
% 12.27/2.73 % (4136096)Instruction limit reached!
% 12.27/2.73 % (4136096)------------------------------
% 12.27/2.73 % (4136096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.27/2.73 % (4136096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.27/2.73 % (4136096)CaDiCaL version: 2.1.3
% 12.27/2.73 % (4136096)Termination reason: Instruction limit
% 12.27/2.73 % (4136096)Termination phase: Preprocessing 3
% 12.27/2.73 % (4136096)Time elapsed: 0.142 s
% 12.27/2.73 % (4136096)Peak memory usage: 94 MB
% 12.27/2.73 % (4136096)Instructions burned: 140 (million)
% 12.27/2.73 % (4136094)------------------------------
% 12.27/2.73 % (4136094)------------------------------
% 12.27/2.73 % (4136119)lrs+10_1_sil=8000:sp=occurrence:random_seed=1235861844:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 12.27/2.73 % (4136119)Refutation not found, incomplete strategy
% 12.27/2.73 % (4136119)------------------------------
% 12.27/2.73 % (4136119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.27/2.73 % (4136119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.27/2.73 % (4136119)CaDiCaL version: 2.1.3
% 12.27/2.73 % (4136119)Termination reason: Refutation not found, incomplete strategy
% 12.27/2.73 % (4136119)Time elapsed: 0.026 s
% 19.11/3.57 % (4136119)Peak memory usage: 94 MB
% 19.11/3.57 % (4136119)Instructions burned: 20 (million)
% 19.11/3.57 % (4136122)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4198605234:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 19.11/3.57 % (4136125)lrs+1011_1_sil=32000:sp=occurrence:random_seed=204502939:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 19.11/3.57 % (4136128)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=3982646578:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 19.11/3.57 % (4136125)Refutation not found, incomplete strategy
% 19.11/3.57 % (4136125)------------------------------
% 19.11/3.57 % (4136125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.57 % (4136125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.57 % (4136125)CaDiCaL version: 2.1.3
% 19.11/3.57 % (4136125)Termination reason: Refutation not found, incomplete strategy
% 19.11/3.57 % (4136125)Time elapsed: 0.027 s
% 19.11/3.57 % (4136125)Peak memory usage: 94 MB
% 19.11/3.57 % (4136125)Instructions burned: 22 (million)
% 19.11/3.57 % (4136122)Refutation not found, incomplete strategy
% 19.11/3.57 % (4136122)------------------------------
% 19.11/3.57 % (4136122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.57 % (4136122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.57 % (4136122)CaDiCaL version: 2.1.3
% 19.11/3.57 % (4136122)Termination reason: Refutation not found, incomplete strategy
% 19.11/3.57 % (4136122)Time elapsed: 0.056 s
% 19.11/3.57 % (4136122)Peak memory usage: 94 MB
% 19.11/3.57 % (4136122)Instructions burned: 60 (million)
% 19.11/3.57 % (4136128)Instruction limit reached!
% 19.11/3.57 % (4136128)------------------------------
% 19.11/3.57 % (4136128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.57 % (4136128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.57 % (4136128)CaDiCaL version: 2.1.3
% 19.11/3.57 % (4136128)Termination reason: Instruction limit
% 19.11/3.57 % (4136128)Termination phase: Saturation
% 19.11/3.57 % (4136128)Time elapsed: 0.094 s
% 19.11/3.57 % (4136128)Peak memory usage: 98 MB
% 19.11/3.57 % (4136128)Instructions burned: 249 (million)
% 19.11/3.57 % (4136141)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3856569216:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 19.11/3.57 % (4136119)------------------------------
% 19.11/3.57 % (4136119)------------------------------
% 19.11/3.57 % (4136125)------------------------------
% 19.11/3.57 % (4136125)------------------------------
% 19.11/3.57 % (4136122)------------------------------
% 19.11/3.57 % (4136122)------------------------------
% 19.11/3.57 % (4136141)Instruction limit reached!
% 19.11/3.57 % (4136141)------------------------------
% 19.11/3.57 % (4136141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.57 % (4136141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.57 % (4136141)CaDiCaL version: 2.1.3
% 19.11/3.57 % (4136141)Termination reason: Instruction limit
% 19.11/3.57 % (4136141)Termination phase: Saturation
% 19.11/3.57 % (4136141)Time elapsed: 0.171 s
% 19.11/3.57 % (4136141)Peak memory usage: 94 MB
% 19.11/3.57 % (4136141)Instructions burned: 297 (million)
% 19.11/3.57 % (4136093)Refutation not found, incomplete strategy
% 19.11/3.57 % (4136093)------------------------------
% 19.11/3.57 % (4136093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.57 % (4136093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.57 % (4136093)CaDiCaL version: 2.1.3
% 19.11/3.57 % (4136093)Termination reason: Refutation not found, incomplete strategy
% 19.11/3.57 % (4136093)Time elapsed: 1.045 s
% 19.11/3.57 % (4136093)Peak memory usage: 145 MB
% 19.11/3.57 % (4136093)Instructions burned: 1024 (million)
% 19.11/3.57 % (4136145)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2759055574:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 19.11/3.57 % (4136151)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1915935653:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 19.11/3.57 % (4136147)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4177581612:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 19.11/3.57 % (4136092)Refutation not found, incomplete strategy
% 19.11/3.57 % (4136092)------------------------------
% 19.11/3.57 % (4136092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.57 % (4136092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.57 % (4136092)CaDiCaL version: 2.1.3
% 19.11/3.57 % (4136092)Termination reason: Refutation not found, incomplete strategy
% 19.11/3.57 % (4136092)Time elapsed: 1.076 s
% 19.11/3.57 % (4136092)Peak memory usage: 143 MB
% 19.11/3.57 % (4136092)Instructions burned: 1036 (million)
% 19.11/3.57 % (4136151)Instruction limit reached!
% 19.11/3.57 % (4136151)------------------------------
% 19.11/3.57 % (4136151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.57 % (4136151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.57 % (4136151)CaDiCaL version: 2.1.3
% 19.11/3.57 % (4136151)Termination reason: Instruction limit
% 19.11/3.57 % (4136151)Termination phase: Property scanning
% 19.11/3.57 % (4136151)Time elapsed: 0.056 s
% 19.11/3.57 % (4136151)Peak memory usage: 91 MB
% 19.11/3.57 % (4136151)Instructions burned: 115 (million)
% 19.11/3.57 % (4136150)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3682276054:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 19.11/3.57 % (4136147)Instruction limit reached!
% 19.11/3.57 % (4136147)------------------------------
% 19.11/3.57 % (4136147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.57 % (4136147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.57 % (4136147)CaDiCaL version: 2.1.3
% 19.11/3.57 % (4136147)Termination reason: Instruction limit
% 19.11/3.57 % (4136147)Termination phase: Saturation
% 19.11/3.57 % (4136147)Time elapsed: 0.092 s
% 19.11/3.57 % (4136147)Peak memory usage: 94 MB
% 19.11/3.57 % (4136147)Instructions burned: 114 (million)
% 19.11/3.57 % (4136157)lrs+10_1_sil=8000:sp=occurrence:random_seed=3782004509:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 19.11/3.57 % (4136157)Refutation not found, incomplete strategy
% 19.11/3.57 % (4136157)------------------------------
% 19.11/3.57 % (4136157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.57 % (4136157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.57 % (4136157)CaDiCaL version: 2.1.3
% 19.11/3.57 % (4136157)Termination reason: Refutation not found, incomplete strategy
% 19.11/3.57 % (4136157)Time elapsed: 0.011 s
% 19.11/3.57 % (4136157)Peak memory usage: 94 MB
% 19.11/3.57 % (4136157)Instructions burned: 21 (million)
% 19.11/3.57 % (4136150)Instruction limit reached!
% 19.11/3.57 % (4136150)------------------------------
% 19.11/3.57 % (4136150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.57 % (4136150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.57 % (4136150)CaDiCaL version: 2.1.3
% 19.11/3.57 % (4136150)Termination reason: Instruction limit
% 19.11/3.57 % (4136150)Termination phase: Property scanning
% 19.11/3.57 % (4136150)Time elapsed: 0.131 s
% 19.11/3.57 % (4136150)Peak memory usage: 96 MB
% 19.11/3.57 % (4136150)Instructions burned: 127 (million)
% 19.11/3.57 % (4136093)------------------------------
% 19.11/3.57 % (4136093)------------------------------
% 19.11/3.57 % (4136160)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1314727319:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 19.11/3.57 % (4136092)------------------------------
% 19.11/3.57 % (4136092)------------------------------
% 19.11/3.57 % (4136160)Refutation not found, incomplete strategy
% 19.11/3.57 % (4136160)------------------------------
% 19.11/3.57 % (4136160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.57 % (4136160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.57 % (4136160)CaDiCaL version: 2.1.3
% 19.11/3.57 % (4136160)Termination reason: Refutation not found, incomplete strategy
% 19.11/3.57 % (4136160)Time elapsed: 0.024 s
% 19.11/3.57 % (4136160)Peak memory usage: 94 MB
% 19.11/3.57 % (4136160)Instructions burned: 20 (million)
% 19.11/3.57 % (4136157)------------------------------
% 19.11/3.57 % (4136157)------------------------------
% 19.11/3.57 % (4136162)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3095950395:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 19.11/3.57 % (4136165)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1107715344:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 19.11/3.57 % (4136168)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2260345038:st=3:i=13193:sd=3:ss=axioms_2981 on theBenchmark for (2981ds/13193Mi)
% 19.11/3.57 % (4136165)Refutation not found, incomplete strategy
% 19.11/3.57 % (4136165)------------------------------
% 19.11/3.57 % (4136165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.57 % (4136165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.57 % (4136165)CaDiCaL version: 2.1.3
% 19.11/3.57 % (4136165)Termination reason: Refutation not found, incomplete strategy
% 19.11/3.57 % (4136165)Time elapsed: 0.028 s
% 19.11/3.57 % (4136165)Peak memory usage: 94 MB
% 19.11/3.57 % (4136165)Instructions burned: 24 (million)
% 19.11/3.57 % (4136167)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=636061373:st=8:i=592:sd=3:ep=RST:ss=axioms_2981 on theBenchmark for (2981ds/592Mi)
% 19.11/3.57 % (4136160)------------------------------
% 19.11/3.57 % (4136160)------------------------------
% 19.11/3.57 % (4136167)First to succeed.
% 19.11/3.57 % (4136167)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4135956"
% 19.11/3.57 % (4136165)------------------------------
% 19.11/3.57 % (4136165)------------------------------
% 19.11/3.57 % (4136177)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=2989955434:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/125Mi)
% 19.11/3.57 % (4136177)Refutation not found, incomplete strategy
% 19.11/3.57 % (4136177)------------------------------
% 19.11/3.57 % (4136177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.57 % (4136177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.57 % (4136177)CaDiCaL version: 2.1.3
% 19.11/3.57 % (4136177)Termination reason: Refutation not found, incomplete strategy
% 19.11/3.57 % (4136177)Time elapsed: 0.077 s
% 19.11/3.57 % (4136177)Peak memory usage: 94 MB
% 19.11/3.57 % (4136177)Instructions burned: 79 (million)
% 19.11/3.57 % (4136178)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1641403665:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 19.11/3.58 % (4136167)Refutation found. Thanks to Tanya!
% 19.11/3.58 % SZS status Theorem for theBenchmark
% 19.11/3.58 % SZS output start Proof for theBenchmark
% See solution above
% 20.07/3.83 % (4136167)------------------------------
% 20.07/3.83 % (4136167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.07/3.83 % (4136167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.07/3.83 % (4136167)CaDiCaL version: 2.1.3
% 20.07/3.83 % (4136167)Termination reason: Refutation
% 20.07/3.83 % (4136167)Time elapsed: 0.343 s
% 20.07/3.83 % (4136167)Peak memory usage: 100 MB
% 20.07/3.83 % (4136167)Instructions burned: 359 (million)
% 20.07/3.83 % (4136167)------------------------------
% 20.07/3.83 % (4136167)------------------------------
% 20.07/3.83 % (4135956)Success in time 2.908 s
% 20.07/3.83 % Vampire exiting
%------------------------------------------------------------------------------