%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR253+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 09:44:12 AM UTC 2026
% Result : Theorem 12.02s 2.64s
% Output : Refutation 13.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 85 ( 22 unt; 4 def)
% Number of atoms : 191 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 203 ( 97 ~; 86 |; 11 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-1 aty)
% Number of variables : 67 ( 0 sgn 59 !; 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',predefinitionsA12) ).
fof(f110,axiom,
! [X0] :
( p__d__subclass(X0,c__Entity)
=> ? [X1] : p__d__instance(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA176) ).
fof(f112,axiom,
p__d__subclass(c__Physical,c__Entity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA178) ).
fof(f233,axiom,
p__d__subclass(c__Process,c__Physical),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA324) ).
fof(f1628,axiom,
p__d__subclass(c__IntentionalProcess,c__Process),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA2357) ).
fof(f1863,axiom,
p__d__subclass(c__ContentDevelopment,c__IntentionalProcess),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA2652) ).
fof(f3128,axiom,
p__d__subclass(c__ComposingMusic,c__ContentDevelopment),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',miloA554) ).
fof(f3129,axiom,
! [X0] :
( p__d__instance(X0,c__ComposingMusic)
=> ? [X1] :
( p__d__instance(X1,c__MusicalComposition)
& p__result(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',miloA555) ).
fof(f4229,axiom,
p__d__subclass(c__Music,c__Proposition),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',miloA1877) ).
fof(f4231,axiom,
p__d__subclass(c__MusicalComposition,c__Music),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',miloA1879) ).
fof(f7290,axiom,
! [X0,X1] :
( p__result(X0,X1)
=> p__d__instance(X0,c__Process) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',typeA437) ).
fof(f7433,conjecture,
? [X0,X1] :
( p__d__instance(X0,c__Process)
& p__d__instance(X0,c__IntentionalProcess)
& p__d__instance(X1,c__Proposition)
& p__result(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',resultRelation0614) ).
fof(f7434,negated_conjecture,
~ ? [X0,X1] :
( p__d__instance(X0,c__Process)
& p__d__instance(X0,c__IntentionalProcess)
& p__d__instance(X1,c__Proposition)
& p__result(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f7433]) ).
fof(f7526,plain,
! [X0,X1] :
( ~ p__d__instance(X0,c__Process)
| ~ p__d__instance(X0,c__IntentionalProcess)
| ~ p__d__instance(X1,c__Proposition)
| ~ p__result(X0,X1) ),
inference(ennf_transformation,[],[f7434]) ).
fof(f7527,plain,
! [X0,X1,X2] :
( p__d__instance(X0,X2)
| ~ p__d__instance(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f7528,plain,
! [X0,X1,X2] :
( p__d__instance(X0,X2)
| ~ p__d__instance(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(flattening,[],[f7527]) ).
fof(f7529,plain,
! [X0,X1] :
( p__d__instance(X0,c__Process)
| ~ p__result(X0,X1) ),
inference(ennf_transformation,[],[f7290]) ).
fof(f7574,plain,
! [X0,X1,X2] :
( p__d__subclass(X0,X2)
| ~ p__d__subclass(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f7575,plain,
! [X0,X1,X2] :
( p__d__subclass(X0,X2)
| ~ p__d__subclass(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(flattening,[],[f7574]) ).
fof(f8086,plain,
! [X0] :
( ? [X1] :
( p__d__instance(X1,c__MusicalComposition)
& p__result(X0,X1) )
| ~ p__d__instance(X0,c__ComposingMusic) ),
inference(ennf_transformation,[],[f3129]) ).
fof(f8929,plain,
! [X0] :
( ? [X1] : p__d__instance(X1,X0)
| ~ p__d__subclass(X0,c__Entity) ),
inference(ennf_transformation,[],[f110]) ).
fof(f9410,plain,
! [X0] :
( ( p__d__instance(sK266(X0),c__MusicalComposition)
& p__result(X0,sK266(X0)) )
| ~ p__d__instance(X0,c__ComposingMusic) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK266]),skolemize(X1,sK266(X0))],[f8086]) ).
fof(f9760,plain,
! [X0] :
( p__d__instance(sK594(X0),X0)
| ~ p__d__subclass(X0,c__Entity) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK594]),skolemize(X1,sK594(X0))],[f8929]) ).
fof(f9854,plain,
! [X0,X1] :
( ~ p__d__instance(X0,c__Process)
| ~ p__d__instance(X0,c__IntentionalProcess)
| ~ p__d__instance(X1,c__Proposition)
| ~ p__result(X0,X1) ),
inference(cnf_transformation,[],[f7526]) ).
fof(f9855,plain,
! [X2,X0,X1] :
( p__d__instance(X0,X2)
| ~ p__d__instance(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(cnf_transformation,[],[f7528]) ).
fof(f9856,plain,
! [X0,X1] :
( ~ p__result(X0,X1)
| p__d__instance(X0,c__Process) ),
inference(cnf_transformation,[],[f7529]) ).
fof(f9895,plain,
p__d__subclass(c__IntentionalProcess,c__Process),
inference(cnf_transformation,[],[f1628]) ).
fof(f9899,plain,
p__d__subclass(c__Process,c__Physical),
inference(cnf_transformation,[],[f233]) ).
fof(f9909,plain,
p__d__subclass(c__ContentDevelopment,c__IntentionalProcess),
inference(cnf_transformation,[],[f1863]) ).
fof(f9937,plain,
! [X2,X0,X1] :
( p__d__subclass(X0,X2)
| ~ p__d__subclass(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(cnf_transformation,[],[f7575]) ).
fof(f10021,plain,
p__d__subclass(c__ComposingMusic,c__ContentDevelopment),
inference(cnf_transformation,[],[f3128]) ).
fof(f11068,plain,
! [X0] :
( p__result(X0,sK266(X0))
| ~ p__d__instance(X0,c__ComposingMusic) ),
inference(cnf_transformation,[],[f9410]) ).
fof(f11069,plain,
! [X0] :
( p__d__instance(sK266(X0),c__MusicalComposition)
| ~ p__d__instance(X0,c__ComposingMusic) ),
inference(cnf_transformation,[],[f9410]) ).
fof(f13038,plain,
p__d__subclass(c__Physical,c__Entity),
inference(cnf_transformation,[],[f112]) ).
fof(f13039,plain,
! [X0] :
( p__d__instance(sK594(X0),X0)
| ~ p__d__subclass(X0,c__Entity) ),
inference(cnf_transformation,[],[f9760]) ).
fof(f13366,plain,
p__d__subclass(c__MusicalComposition,c__Music),
inference(cnf_transformation,[],[f4231]) ).
fof(f13367,plain,
p__d__subclass(c__Music,c__Proposition),
inference(cnf_transformation,[],[f4229]) ).
fof(f13778,plain,
! [X0,X1] :
( ~ p__result(X0,X1)
| ~ p__d__instance(X1,c__Proposition)
| ~ p__d__instance(X0,c__IntentionalProcess) ),
inference(forward_subsumption_resolution,[],[f9854,f9856]) ).
fof(f13788,plain,
! [X0] :
( ~ p__d__instance(sK266(X0),c__Proposition)
| ~ p__d__instance(X0,c__IntentionalProcess)
| ~ p__d__instance(X0,c__ComposingMusic) ),
inference(resolution,[],[f13778,f11068]) ).
fof(f14231,plain,
! [X0,X1] :
( ~ p__d__instance(sK266(X0),X1)
| ~ p__d__instance(X0,c__ComposingMusic)
| ~ p__d__instance(X0,c__IntentionalProcess)
| ~ p__d__subclass(X1,c__Proposition) ),
inference(resolution,[],[f13788,f9855]) ).
fof(f15405,plain,
! [X0] :
( ~ p__d__instance(X0,c__ComposingMusic)
| ~ p__d__instance(X0,c__IntentionalProcess)
| ~ p__d__subclass(c__MusicalComposition,c__Proposition)
| ~ p__d__instance(X0,c__ComposingMusic) ),
inference(resolution,[],[f14231,f11069]) ).
fof(f15416,plain,
! [X0] :
( ~ p__d__instance(X0,c__ComposingMusic)
| ~ p__d__instance(X0,c__IntentionalProcess)
| ~ p__d__subclass(c__MusicalComposition,c__Proposition) ),
inference(duplicate_literal_removal,[],[f15405]) ).
fof(f15418,definition,
( spl672_46
<=> p__d__subclass(c__MusicalComposition,c__Proposition) ),
introduced(definition,[new_symbols(definition,[spl672_46])],[avatar_definition]) ).
fof(f15420,plain,
( ~ p__d__subclass(c__MusicalComposition,c__Proposition)
| spl672_46 ),
inference(avatar_component_clause,[],[f15418]) ).
fof(f15422,definition,
( spl672_47
<=> ! [X0] :
( ~ p__d__instance(X0,c__ComposingMusic)
| ~ p__d__instance(X0,c__IntentionalProcess) ) ),
introduced(definition,[new_symbols(definition,[spl672_47])],[avatar_definition]) ).
fof(f15423,plain,
( ! [X0] :
( ~ p__d__instance(X0,c__ComposingMusic)
| ~ p__d__instance(X0,c__IntentionalProcess) )
| ~ spl672_47 ),
inference(avatar_component_clause,[],[f15422]) ).
fof(f15424,plain,
( ~ spl672_46
| spl672_47 ),
inference(avatar_split_clause,[],[f15416,f15422,f15418]) ).
fof(f15425,plain,
( ! [X0] :
( ~ p__d__subclass(c__MusicalComposition,X0)
| ~ p__d__subclass(X0,c__Proposition) )
| spl672_46 ),
inference(resolution,[],[f15420,f9937]) ).
fof(f15428,plain,
( ~ p__d__subclass(c__Music,c__Proposition)
| spl672_46 ),
inference(resolution,[],[f15425,f13366]) ).
fof(f15429,plain,
( $false
| spl672_46 ),
inference(forward_subsumption_resolution,[],[f15428,f13367]) ).
fof(f15430,plain,
spl672_46,
inference(avatar_contradiction_clause,[],[f15429]) ).
fof(f15440,plain,
( ~ p__d__instance(sK594(c__ComposingMusic),c__IntentionalProcess)
| ~ p__d__subclass(c__ComposingMusic,c__Entity)
| ~ spl672_47 ),
inference(resolution,[],[f15423,f13039]) ).
fof(f15455,definition,
( spl672_48
<=> p__d__subclass(c__ComposingMusic,c__Entity) ),
introduced(definition,[new_symbols(definition,[spl672_48])],[avatar_definition]) ).
fof(f15456,plain,
( p__d__subclass(c__ComposingMusic,c__Entity)
| ~ spl672_48 ),
inference(avatar_component_clause,[],[f15455]) ).
fof(f15457,plain,
( ~ p__d__subclass(c__ComposingMusic,c__Entity)
| spl672_48 ),
inference(avatar_component_clause,[],[f15455]) ).
fof(f15459,definition,
( spl672_49
<=> p__d__instance(sK594(c__ComposingMusic),c__IntentionalProcess) ),
introduced(definition,[new_symbols(definition,[spl672_49])],[avatar_definition]) ).
fof(f15461,plain,
( ~ p__d__instance(sK594(c__ComposingMusic),c__IntentionalProcess)
| spl672_49 ),
inference(avatar_component_clause,[],[f15459]) ).
fof(f15462,plain,
( ~ spl672_48
| ~ spl672_49
| ~ spl672_47 ),
inference(avatar_split_clause,[],[f15440,f15422,f15459,f15455]) ).
fof(f15463,plain,
( ! [X0] :
( ~ p__d__subclass(c__ComposingMusic,X0)
| ~ p__d__subclass(X0,c__Entity) )
| spl672_48 ),
inference(resolution,[],[f15457,f9937]) ).
fof(f15466,plain,
( ~ p__d__subclass(c__ContentDevelopment,c__Entity)
| spl672_48 ),
inference(resolution,[],[f15463,f10021]) ).
fof(f15479,plain,
( ! [X0] :
( ~ p__d__subclass(c__ContentDevelopment,X0)
| ~ p__d__subclass(X0,c__Entity) )
| spl672_48 ),
inference(resolution,[],[f15466,f9937]) ).
fof(f15482,plain,
( ~ p__d__subclass(c__IntentionalProcess,c__Entity)
| spl672_48 ),
inference(resolution,[],[f15479,f9909]) ).
fof(f15483,plain,
( ! [X0] :
( ~ p__d__subclass(c__IntentionalProcess,X0)
| ~ p__d__subclass(X0,c__Entity) )
| spl672_48 ),
inference(resolution,[],[f15482,f9937]) ).
fof(f15486,plain,
( ~ p__d__subclass(c__Process,c__Entity)
| spl672_48 ),
inference(resolution,[],[f15483,f9895]) ).
fof(f15487,plain,
( ! [X0] :
( ~ p__d__subclass(c__Process,X0)
| ~ p__d__subclass(X0,c__Entity) )
| spl672_48 ),
inference(resolution,[],[f15486,f9937]) ).
fof(f15490,plain,
( ~ p__d__subclass(c__Physical,c__Entity)
| spl672_48 ),
inference(resolution,[],[f15487,f9899]) ).
fof(f15491,plain,
( $false
| spl672_48 ),
inference(forward_subsumption_resolution,[],[f15490,f13038]) ).
fof(f15492,plain,
spl672_48,
inference(avatar_contradiction_clause,[],[f15491]) ).
fof(f15493,plain,
( ! [X0] :
( ~ p__d__instance(sK594(c__ComposingMusic),X0)
| ~ p__d__subclass(X0,c__IntentionalProcess) )
| spl672_49 ),
inference(resolution,[],[f15461,f9855]) ).
fof(f15506,plain,
( ~ p__d__subclass(c__ComposingMusic,c__IntentionalProcess)
| ~ p__d__subclass(c__ComposingMusic,c__Entity)
| spl672_49 ),
inference(resolution,[],[f15493,f13039]) ).
fof(f15517,plain,
( ~ p__d__subclass(c__ComposingMusic,c__IntentionalProcess)
| ~ spl672_48
| spl672_49 ),
inference(forward_subsumption_resolution,[],[f15506,f15456]) ).
fof(f15518,plain,
( ! [X0] :
( ~ p__d__subclass(c__ComposingMusic,X0)
| ~ p__d__subclass(X0,c__IntentionalProcess) )
| ~ spl672_48
| spl672_49 ),
inference(resolution,[],[f15517,f9937]) ).
fof(f15522,plain,
( ~ p__d__subclass(c__ContentDevelopment,c__IntentionalProcess)
| ~ spl672_48
| spl672_49 ),
inference(resolution,[],[f15518,f10021]) ).
fof(f15523,plain,
( $false
| ~ spl672_48
| spl672_49 ),
inference(forward_subsumption_resolution,[],[f15522,f9909]) ).
fof(f15524,plain,
( ~ spl672_48
| spl672_49 ),
inference(avatar_contradiction_clause,[],[f15523]) ).
cnf(s31,plain,
( ~ spl672_46
| spl672_47 ),
inference(sat_conversion,[],[f15424]) ).
cnf(s32,plain,
spl672_46,
inference(sat_conversion,[],[f15430]) ).
cnf(s33,plain,
( ~ spl672_47
| ~ spl672_48
| ~ spl672_49 ),
inference(sat_conversion,[],[f15462]) ).
cnf(s34,plain,
spl672_48,
inference(sat_conversion,[],[f15492]) ).
cnf(s35,plain,
( ~ spl672_48
| spl672_49 ),
inference(sat_conversion,[],[f15524]) ).
cnf(s36,plain,
spl672_49,
inference(rat,[],[s35,s34]) ).
cnf(s37,plain,
~ spl672_47,
inference(rat,[],[s33,s36,s34]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s31,s37,s32]) ).
fof(f15525,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR253+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.16 % Computer : n019.cluster.edu
% 0.07/0.16 % Model : x86_64 x86_64
% 0.07/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.16 % Memory : 8046.5625MB
% 0.07/0.16 % OS : Linux 6.8.0-71-generic
% 0.07/0.16 % CPULimit : 300
% 0.07/0.16 % WCLimit : 300
% 0.07/0.16 % DateTime : Mon Sep 28 23:54:48 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running first-order theorem proving
% 0.07/0.20 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
% 9.30/2.13 % (388204)Detected formulas, will run a generic FOF schedule.
% 9.30/2.13 % (388209)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=4284697210:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 9.30/2.13 % (388210)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=72172140:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 9.30/2.13 % (388215)dis-21_1_sil=8000:lcm=predicate:random_seed=135738465: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)
% 9.30/2.13 % (388212)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2022630170:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 9.30/2.13 % (388214)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3034682260:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 9.30/2.13 % (388211)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=1742818786:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 9.30/2.13 % (388213)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3672226280:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 9.30/2.13 % (388212)Refutation not found, incomplete strategy
% 9.30/2.13 % (388212)------------------------------
% 9.30/2.13 % (388212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.30/2.13 % (388212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.30/2.13 % (388212)CaDiCaL version: 2.1.3
% 9.30/2.13 % (388212)Termination reason: Refutation not found, incomplete strategy
% 9.30/2.13 % (388212)Time elapsed: 0.016 s
% 9.30/2.13 % (388212)Peak memory usage: 93 MB
% 9.30/2.13 % (388212)Instructions burned: 23 (million)
% 9.30/2.13 % (388213)Refutation not found, incomplete strategy
% 9.30/2.13 % (388213)------------------------------
% 9.30/2.13 % (388213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.30/2.13 % (388213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.30/2.13 % (388213)CaDiCaL version: 2.1.3
% 9.30/2.13 % (388213)Termination reason: Refutation not found, incomplete strategy
% 9.30/2.13 % (388213)Time elapsed: 0.016 s
% 9.30/2.13 % (388213)Peak memory usage: 93 MB
% 9.30/2.13 % (388213)Instructions burned: 24 (million)
% 9.30/2.13 % (388215)Instruction limit reached!
% 9.30/2.13 % (388215)------------------------------
% 9.30/2.13 % (388215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.30/2.13 % (388215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.30/2.13 % (388215)CaDiCaL version: 2.1.3
% 9.30/2.13 % (388215)Termination reason: Instruction limit
% 9.30/2.13 % (388215)Termination phase: Saturation
% 9.30/2.13 % (388215)Time elapsed: 0.073 s
% 9.30/2.13 % (388215)Peak memory usage: 95 MB
% 9.30/2.13 % (388215)Instructions burned: 130 (million)
% 9.30/2.13 % (388214)Instruction limit reached!
% 9.30/2.13 % (388214)------------------------------
% 9.30/2.13 % (388214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.30/2.13 % (388214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.30/2.13 % (388214)CaDiCaL version: 2.1.3
% 9.30/2.13 % (388214)Termination reason: Instruction limit
% 9.30/2.13 % (388214)Termination phase: Preprocessing 3
% 9.30/2.13 % (388214)Time elapsed: 0.089 s
% 9.30/2.13 % (388214)Peak memory usage: 94 MB
% 9.30/2.13 % (388214)Instructions burned: 140 (million)
% 9.30/2.13 % (388223)lrs+10_1_sil=8000:sp=occurrence:random_seed=2203549159:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 9.30/2.13 % (388224)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3159463806:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 9.30/2.13 % (388213)------------------------------
% 9.30/2.13 % (388213)------------------------------
% 9.30/2.13 % (388212)------------------------------
% 9.30/2.13 % (388212)------------------------------
% 9.30/2.13 % (388223)Refutation not found, incomplete strategy
% 9.30/2.13 % (388223)------------------------------
% 9.30/2.13 % (388223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.30/2.13 % (388223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.64 % (388223)CaDiCaL version: 2.1.3
% 12.02/2.64 % (388223)Termination reason: Refutation not found, incomplete strategy
% 12.02/2.64 % (388223)Time elapsed: 0.018 s
% 12.02/2.64 % (388223)Peak memory usage: 94 MB
% 12.02/2.64 % (388223)Instructions burned: 21 (million)
% 12.02/2.64 % (388224)Refutation not found, incomplete strategy
% 12.02/2.64 % (388224)------------------------------
% 12.02/2.64 % (388224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/2.64 % (388224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.64 % (388224)CaDiCaL version: 2.1.3
% 12.02/2.64 % (388224)Termination reason: Refutation not found, incomplete strategy
% 12.02/2.64 % (388224)Time elapsed: 0.031 s
% 12.02/2.64 % (388224)Peak memory usage: 94 MB
% 12.02/2.64 % (388224)Instructions burned: 60 (million)
% 12.02/2.64 % (388228)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=1028718140:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 12.02/2.64 % (388227)lrs+1011_1_sil=32000:sp=occurrence:random_seed=191184085:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 12.02/2.64 % (388227)Refutation not found, incomplete strategy
% 12.02/2.64 % (388227)------------------------------
% 12.02/2.64 % (388227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/2.64 % (388227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.64 % (388227)CaDiCaL version: 2.1.3
% 12.02/2.64 % (388227)Termination reason: Refutation not found, incomplete strategy
% 12.02/2.64 % (388227)Time elapsed: 0.016 s
% 12.02/2.64 % (388227)Peak memory usage: 94 MB
% 12.02/2.64 % (388227)Instructions burned: 19 (million)
% 12.02/2.64 % (388223)------------------------------
% 12.02/2.64 % (388223)------------------------------
% 12.02/2.64 % (388224)------------------------------
% 12.02/2.64 % (388224)------------------------------
% 12.02/2.64 % (388228)Instruction limit reached!
% 12.02/2.64 % (388228)------------------------------
% 12.02/2.64 % (388228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/2.64 % (388228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.64 % (388228)CaDiCaL version: 2.1.3
% 12.02/2.64 % (388228)Termination reason: Instruction limit
% 12.02/2.64 % (388228)Termination phase: Saturation
% 12.02/2.64 % (388228)Time elapsed: 0.133 s
% 12.02/2.64 % (388228)Peak memory usage: 98 MB
% 12.02/2.64 % (388228)Instructions burned: 248 (million)
% 12.02/2.64 % (388211)Refutation not found, incomplete strategy
% 12.02/2.64 % (388211)------------------------------
% 12.02/2.64 % (388211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/2.64 % (388211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.64 % (388211)CaDiCaL version: 2.1.3
% 12.02/2.64 % (388211)Termination reason: Refutation not found, incomplete strategy
% 12.02/2.64 % (388211)Time elapsed: 0.637 s
% 12.02/2.64 % (388211)Peak memory usage: 135 MB
% 12.02/2.64 % (388211)Instructions burned: 957 (million)
% 12.02/2.64 % (388232)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4011483995:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 12.02/2.64 % (388231)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3547449989:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 12.02/2.64 % (388227)------------------------------
% 12.02/2.64 % (388227)------------------------------
% 12.02/2.64 % (388210)Refutation not found, incomplete strategy
% 12.02/2.64 % (388210)------------------------------
% 12.02/2.64 % (388210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/2.64 % (388210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.64 % (388210)CaDiCaL version: 2.1.3
% 12.02/2.64 % (388210)Termination reason: Refutation not found, incomplete strategy
% 12.02/2.64 % (388210)Time elapsed: 0.703 s
% 12.02/2.64 % (388210)Peak memory usage: 146 MB
% 12.02/2.64 % (388210)Instructions burned: 1033 (million)
% 12.02/2.64 % (388233)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=990264151:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 12.02/2.64 % (388233)Refutation not found, incomplete strategy
% 12.02/2.64 % (388233)------------------------------
% 12.02/2.64 % (388233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/2.64 % (388233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.64 % (388233)CaDiCaL version: 2.1.3
% 12.02/2.64 % (388233)Termination reason: Refutation not found, incomplete strategy
% 12.02/2.64 % (388233)Time elapsed: 0.017 s
% 12.02/2.64 % (388233)Peak memory usage: 94 MB
% 12.02/2.64 % (388233)Instructions burned: 24 (million)
% 12.02/2.64 % (388231)Instruction limit reached!
% 12.02/2.64 % (388231)------------------------------
% 12.02/2.64 % (388231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/2.64 % (388231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.64 % (388231)CaDiCaL version: 2.1.3
% 12.02/2.64 % (388231)Termination reason: Instruction limit
% 12.02/2.64 % (388231)Termination phase: Saturation
% 12.02/2.64 % (388231)Time elapsed: 0.155 s
% 12.02/2.64 % (388231)Peak memory usage: 94 MB
% 12.02/2.64 % (388231)Instructions burned: 296 (million)
% 12.02/2.64 % (388236)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1728062450:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 12.02/2.64 % (388211)------------------------------
% 12.02/2.64 % (388211)------------------------------
% 12.02/2.64 % (388210)------------------------------
% 12.02/2.64 % (388210)------------------------------
% 12.02/2.64 % (388236)Instruction limit reached!
% 12.02/2.64 % (388236)------------------------------
% 12.02/2.64 % (388236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/2.64 % (388236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.64 % (388236)CaDiCaL version: 2.1.3
% 12.02/2.64 % (388236)Termination reason: Instruction limit
% 12.02/2.64 % (388236)Termination phase: Property scanning
% 12.02/2.64 % (388236)Time elapsed: 0.076 s
% 12.02/2.64 % (388236)Peak memory usage: 96 MB
% 12.02/2.64 % (388236)Instructions burned: 128 (million)
% 12.02/2.64 % (388233)------------------------------
% 12.02/2.64 % (388233)------------------------------
% 12.02/2.64 % (388238)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1392661478:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 12.02/2.64 % (388240)lrs+10_1_sil=8000:sp=occurrence:random_seed=229411207:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 12.02/2.64 % (388240)Refutation not found, incomplete strategy
% 12.02/2.64 % (388240)------------------------------
% 12.02/2.64 % (388240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/2.64 % (388240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.64 % (388240)CaDiCaL version: 2.1.3
% 12.02/2.64 % (388240)Termination reason: Refutation not found, incomplete strategy
% 12.02/2.64 % (388240)Time elapsed: 0.018 s
% 12.02/2.64 % (388240)Peak memory usage: 94 MB
% 12.02/2.64 % (388240)Instructions burned: 22 (million)
% 12.02/2.64 % (388238)Instruction limit reached!
% 12.02/2.64 % (388238)------------------------------
% 12.02/2.64 % (388238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/2.64 % (388238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.64 % (388238)CaDiCaL version: 2.1.3
% 12.02/2.64 % (388238)Termination reason: Instruction limit
% 12.02/2.64 % (388238)Termination phase: Equality resolution with deletion
% 12.02/2.64 % (388238)Time elapsed: 0.060 s
% 12.02/2.64 % (388238)Peak memory usage: 92 MB
% 12.02/2.64 % (388238)Instructions burned: 116 (million)
% 12.02/2.64 % (388241)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3709122402:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 12.02/2.64 % (388242)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1294476068:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 12.02/2.64 % (388241)Refutation not found, incomplete strategy
% 12.02/2.64 % (388241)------------------------------
% 12.02/2.64 % (388241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/2.64 % (388241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.64 % (388241)CaDiCaL version: 2.1.3
% 12.02/2.64 % (388241)Termination reason: Refutation not found, incomplete strategy
% 12.02/2.64 % (388241)Time elapsed: 0.015 s
% 12.02/2.64 % (388241)Peak memory usage: 93 MB
% 12.02/2.64 % (388241)Instructions burned: 19 (million)
% 12.02/2.64 % (388243)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=643646414:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 12.02/2.64 % (388243)Refutation not found, incomplete strategy
% 12.02/2.64 % (388243)------------------------------
% 12.02/2.64 % (388243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/2.64 % (388243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.64 % (388243)CaDiCaL version: 2.1.3
% 12.02/2.64 % (388243)Termination reason: Refutation not found, incomplete strategy
% 12.02/2.64 % (388243)Time elapsed: 0.018 s
% 12.02/2.64 % (388243)Peak memory usage: 94 MB
% 12.02/2.64 % (388243)Instructions burned: 24 (million)
% 12.02/2.64 % (388246)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4023285686:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 12.02/2.64 % (388240)------------------------------
% 12.02/2.64 % (388240)------------------------------
% 12.02/2.64 % (388241)------------------------------
% 12.02/2.64 % (388241)------------------------------
% 12.02/2.64 % (388246)First to succeed.
% 12.02/2.64 % (388246)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-388204"
% 12.02/2.64 % (388243)------------------------------
% 12.02/2.64 % (388243)------------------------------
% 12.02/2.64 % (388251)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=42514672:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 12.02/2.64 % (388252)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=1113951928:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 12.02/2.64 % (388252)Refutation not found, incomplete strategy
% 12.02/2.64 % (388252)------------------------------
% 12.02/2.64 % (388252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/2.64 % (388252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.64 % (388252)CaDiCaL version: 2.1.3
% 12.02/2.64 % (388252)Termination reason: Refutation not found, incomplete strategy
% 12.02/2.64 % (388252)Time elapsed: 0.044 s
% 12.02/2.64 % (388252)Peak memory usage: 94 MB
% 12.02/2.64 % (388252)Instructions burned: 79 (million)
% 12.02/2.64 % (388253)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1328952800:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 12.02/2.64 % (388253)Instruction limit reached!
% 12.02/2.64 % (388253)------------------------------
% 12.02/2.64 % (388253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.02/2.64 % (388253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.02/2.64 % (388253)CaDiCaL version: 2.1.3
% 12.02/2.64 % (388253)Termination reason: Instruction limit
% 12.02/2.64 % (388253)Termination phase: Preprocessing 2
% 12.02/2.64 % (388253)Time elapsed: 0.072 s
% 12.02/2.64 % (388253)Peak memory usage: 92 MB
% 12.02/2.64 % (388253)Instructions burned: 134 (million)
% 12.02/2.64 % (388246)Refutation found. Thanks to Tanya!
% 12.02/2.64 % SZS status Theorem for theBenchmark
% 12.02/2.64 % SZS output start Proof for theBenchmark
% See solution above
% 13.79/2.84 % (388246)------------------------------
% 13.79/2.84 % (388246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.79/2.84 % (388246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.79/2.84 % (388246)CaDiCaL version: 2.1.3
% 13.79/2.84 % (388246)Termination reason: Refutation
% 13.79/2.84 % (388246)Time elapsed: 0.169 s
% 13.79/2.84 % (388246)Peak memory usage: 100 MB
% 13.79/2.84 % (388246)Instructions burned: 294 (million)
% 13.79/2.84 % (388246)------------------------------
% 13.79/2.84 % (388246)------------------------------
% 13.79/2.84 % (388204)Success in time 2.009 s
% 13.79/2.84 % Vampire exiting
%------------------------------------------------------------------------------