%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR254+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 : n009.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 14.18s 2.63s
% Output : Refutation 14.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 63 ( 13 unt; 2 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 151 ( 70 ~; 63 |; 11 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-1 aty)
% Number of variables : 60 ( 0 sgn 52 !; 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(f115,axiom,
p__d__subclass(c__Object,c__Physical),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA181) ).
fof(f2267,axiom,
p__d__subclass(c__Artifact,c__Object),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA3134) ).
fof(f2269,axiom,
p__d__subclass(c__Product,c__Artifact),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA3136) ).
fof(f2270,axiom,
! [X0] :
( p__d__instance(X0,c__Product)
=> ? [X1] :
( p__d__instance(X1,c__Manufacture)
& p__result(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA3137) ).
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__Manufacture)
& p__d__instance(X1,c__Object)
& p__result(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',resultRelation0646) ).
fof(f7434,negated_conjecture,
~ ? [X0,X1] :
( p__d__instance(X0,c__Process)
& p__d__instance(X0,c__Manufacture)
& p__d__instance(X1,c__Object)
& p__result(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f7433]) ).
fof(f7556,plain,
! [X0,X1] :
( ~ p__d__instance(X0,c__Process)
| ~ p__d__instance(X0,c__Manufacture)
| ~ p__d__instance(X1,c__Object)
| ~ p__result(X0,X1) ),
inference(ennf_transformation,[],[f7434]) ).
fof(f7557,plain,
! [X0,X1,X2] :
( p__d__instance(X0,X2)
| ~ p__d__instance(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f7558,plain,
! [X0,X1,X2] :
( p__d__instance(X0,X2)
| ~ p__d__instance(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(flattening,[],[f7557]) ).
fof(f7560,plain,
! [X0,X1] :
( p__d__instance(X0,c__Process)
| ~ p__result(X0,X1) ),
inference(ennf_transformation,[],[f7290]) ).
fof(f7590,plain,
! [X0] :
( ? [X1] :
( p__d__instance(X1,c__Manufacture)
& p__result(X1,X0) )
| ~ p__d__instance(X0,c__Product) ),
inference(ennf_transformation,[],[f2270]) ).
fof(f7591,plain,
! [X0,X1,X2] :
( p__d__subclass(X0,X2)
| ~ p__d__subclass(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f7592,plain,
! [X0,X1,X2] :
( p__d__subclass(X0,X2)
| ~ p__d__subclass(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(flattening,[],[f7591]) ).
fof(f8940,plain,
! [X0] :
( ? [X1] : p__d__instance(X1,X0)
| ~ p__d__subclass(X0,c__Entity) ),
inference(ennf_transformation,[],[f110]) ).
fof(f8987,plain,
! [X0] :
( ( p__d__instance(sK18(X0),c__Manufacture)
& p__result(sK18(X0),X0) )
| ~ p__d__instance(X0,c__Product) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X1,sK18(X0))],[f7590]) ).
fof(f9562,plain,
! [X0] :
( p__d__instance(sK575(X0),X0)
| ~ p__d__subclass(X0,c__Entity) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK575]),skolemize(X1,sK575(X0))],[f8940]) ).
fof(f9569,plain,
! [X0,X1] :
( ~ p__d__instance(X0,c__Process)
| ~ p__d__instance(X0,c__Manufacture)
| ~ p__d__instance(X1,c__Object)
| ~ p__result(X0,X1) ),
inference(cnf_transformation,[],[f7556]) ).
fof(f9570,plain,
! [X2,X0,X1] :
( p__d__instance(X0,X2)
| ~ p__d__instance(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(cnf_transformation,[],[f7558]) ).
fof(f9575,plain,
p__d__subclass(c__Object,c__Physical),
inference(cnf_transformation,[],[f115]) ).
fof(f9576,plain,
! [X0,X1] :
( ~ p__result(X0,X1)
| p__d__instance(X0,c__Process) ),
inference(cnf_transformation,[],[f7560]) ).
fof(f9622,plain,
! [X0] :
( p__result(sK18(X0),X0)
| ~ p__d__instance(X0,c__Product) ),
inference(cnf_transformation,[],[f8987]) ).
fof(f9623,plain,
! [X0] :
( p__d__instance(sK18(X0),c__Manufacture)
| ~ p__d__instance(X0,c__Product) ),
inference(cnf_transformation,[],[f8987]) ).
fof(f9626,plain,
! [X2,X0,X1] :
( p__d__subclass(X0,X2)
| ~ p__d__subclass(X0,X1)
| ~ p__d__subclass(X1,X2) ),
inference(cnf_transformation,[],[f7592]) ).
fof(f9705,plain,
p__d__subclass(c__Artifact,c__Object),
inference(cnf_transformation,[],[f2267]) ).
fof(f10168,plain,
p__d__subclass(c__Product,c__Artifact),
inference(cnf_transformation,[],[f2269]) ).
fof(f12651,plain,
p__d__subclass(c__Physical,c__Entity),
inference(cnf_transformation,[],[f112]) ).
fof(f12652,plain,
! [X0] :
( p__d__instance(sK575(X0),X0)
| ~ p__d__subclass(X0,c__Entity) ),
inference(cnf_transformation,[],[f9562]) ).
fof(f12833,plain,
! [X0,X1] :
( ~ p__result(X0,X1)
| ~ p__d__instance(X1,c__Object)
| ~ p__d__instance(X0,c__Manufacture) ),
inference(forward_subsumption_resolution,[],[f9569,f9576]) ).
fof(f12850,plain,
! [X0] :
( ~ p__d__instance(X0,c__Object)
| ~ p__d__instance(sK18(X0),c__Manufacture)
| ~ p__d__instance(X0,c__Product) ),
inference(resolution,[],[f12833,f9622]) ).
fof(f12895,plain,
! [X0] :
( ~ p__d__instance(X0,c__Product)
| ~ p__d__instance(X0,c__Object) ),
inference(forward_subsumption_resolution,[],[f12850,f9623]) ).
fof(f12907,plain,
( ~ p__d__instance(sK575(c__Product),c__Object)
| ~ p__d__subclass(c__Product,c__Entity) ),
inference(resolution,[],[f12895,f12652]) ).
fof(f12923,definition,
( spl580_1
<=> p__d__subclass(c__Product,c__Entity) ),
introduced(definition,[new_symbols(definition,[spl580_1])],[avatar_definition]) ).
fof(f12924,plain,
( p__d__subclass(c__Product,c__Entity)
| ~ spl580_1 ),
inference(avatar_component_clause,[],[f12923]) ).
fof(f12925,plain,
( ~ p__d__subclass(c__Product,c__Entity)
| spl580_1 ),
inference(avatar_component_clause,[],[f12923]) ).
fof(f12927,definition,
( spl580_2
<=> p__d__instance(sK575(c__Product),c__Object) ),
introduced(definition,[new_symbols(definition,[spl580_2])],[avatar_definition]) ).
fof(f12929,plain,
( ~ p__d__instance(sK575(c__Product),c__Object)
| spl580_2 ),
inference(avatar_component_clause,[],[f12927]) ).
fof(f12930,plain,
( ~ spl580_1
| ~ spl580_2 ),
inference(avatar_split_clause,[],[f12907,f12927,f12923]) ).
fof(f12931,plain,
( ! [X0] :
( ~ p__d__subclass(c__Product,X0)
| ~ p__d__subclass(X0,c__Entity) )
| spl580_1 ),
inference(resolution,[],[f12925,f9626]) ).
fof(f12934,plain,
( ~ p__d__subclass(c__Artifact,c__Entity)
| spl580_1 ),
inference(resolution,[],[f12931,f10168]) ).
fof(f12935,plain,
( ! [X0] :
( ~ p__d__subclass(c__Artifact,X0)
| ~ p__d__subclass(X0,c__Entity) )
| spl580_1 ),
inference(resolution,[],[f12934,f9626]) ).
fof(f12938,plain,
( ~ p__d__subclass(c__Object,c__Entity)
| spl580_1 ),
inference(resolution,[],[f12935,f9705]) ).
fof(f12939,plain,
( ! [X0] :
( ~ p__d__subclass(c__Object,X0)
| ~ p__d__subclass(X0,c__Entity) )
| spl580_1 ),
inference(resolution,[],[f12938,f9626]) ).
fof(f12942,plain,
( ~ p__d__subclass(c__Physical,c__Entity)
| spl580_1 ),
inference(resolution,[],[f12939,f9575]) ).
fof(f12943,plain,
( $false
| spl580_1 ),
inference(forward_subsumption_resolution,[],[f12942,f12651]) ).
fof(f12944,plain,
spl580_1,
inference(avatar_contradiction_clause,[],[f12943]) ).
fof(f12946,plain,
( ! [X0] :
( ~ p__d__instance(sK575(c__Product),X0)
| ~ p__d__subclass(X0,c__Object) )
| spl580_2 ),
inference(resolution,[],[f12929,f9570]) ).
fof(f12947,plain,
( ~ p__d__subclass(c__Product,c__Object)
| ~ p__d__subclass(c__Product,c__Entity)
| spl580_2 ),
inference(resolution,[],[f12946,f12652]) ).
fof(f12958,plain,
( ~ p__d__subclass(c__Product,c__Object)
| ~ spl580_1
| spl580_2 ),
inference(forward_subsumption_resolution,[],[f12947,f12924]) ).
fof(f12960,plain,
( ! [X0] :
( ~ p__d__subclass(c__Product,X0)
| ~ p__d__subclass(X0,c__Object) )
| ~ spl580_1
| spl580_2 ),
inference(resolution,[],[f12958,f9626]) ).
fof(f12966,plain,
( ~ p__d__subclass(c__Artifact,c__Object)
| ~ spl580_1
| spl580_2 ),
inference(resolution,[],[f12960,f10168]) ).
fof(f12967,plain,
( $false
| ~ spl580_1
| spl580_2 ),
inference(forward_subsumption_resolution,[],[f12966,f9705]) ).
fof(f12968,plain,
( ~ spl580_1
| spl580_2 ),
inference(avatar_contradiction_clause,[],[f12967]) ).
cnf(s1,plain,
( ~ spl580_1
| ~ spl580_2 ),
inference(sat_conversion,[],[f12930]) ).
cnf(s2,plain,
spl580_1,
inference(sat_conversion,[],[f12944]) ).
cnf(s3,plain,
( ~ spl580_1
| spl580_2 ),
inference(sat_conversion,[],[f12968]) ).
cnf(s4,plain,
spl580_2,
inference(rat,[],[s3,s2]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s2]) ).
fof(f12969,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR254+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n009.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 23:54:45 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 5.60/1.36 % (3612859)Detected formulas, will run a generic FOF schedule.
% 5.60/1.36 % (3612870)dis-21_1_sil=8000:lcm=predicate:random_seed=1126061300:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.60/1.36 % (3612870)Instruction limit reached!
% 5.60/1.36 % (3612870)------------------------------
% 5.60/1.36 % (3612870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.36 % (3612870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.36 % (3612870)CaDiCaL version: 2.1.3
% 5.60/1.36 % (3612870)Termination reason: Instruction limit
% 5.60/1.36 % (3612870)Termination phase: Saturation
% 5.60/1.36 % (3612870)Time elapsed: 0.042 s
% 5.60/1.36 % (3612870)Peak memory usage: 96 MB
% 5.60/1.36 % (3612870)Instructions burned: 135 (million)
% 5.60/1.36 % (3612865)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=3776169281:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.60/1.36 % (3612866)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=2425116872:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.60/1.36 % (3612867)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2834733169:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.60/1.36 % (3612868)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4157019459:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.60/1.36 % (3612869)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1772072229:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.60/1.36 % (3612864)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=2193561062:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.60/1.36 % (3612867)Refutation not found, incomplete strategy
% 5.60/1.36 % (3612867)------------------------------
% 5.60/1.36 % (3612867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.36 % (3612867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.36 % (3612867)CaDiCaL version: 2.1.3
% 5.60/1.36 % (3612867)Termination reason: Refutation not found, incomplete strategy
% 5.60/1.36 % (3612867)Time elapsed: 0.016 s
% 5.60/1.36 % (3612867)Peak memory usage: 92 MB
% 5.60/1.36 % (3612867)Instructions burned: 24 (million)
% 5.60/1.36 % (3612868)Instruction limit reached!
% 5.60/1.36 % (3612868)------------------------------
% 5.60/1.36 % (3612868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.36 % (3612868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.36 % (3612868)CaDiCaL version: 2.1.3
% 5.60/1.36 % (3612868)Termination reason: Instruction limit
% 5.60/1.36 % (3612868)Termination phase: Saturation
% 5.60/1.36 % (3612868)Time elapsed: 0.069 s
% 5.60/1.36 % (3612868)Peak memory usage: 93 MB
% 5.60/1.36 % (3612868)Instructions burned: 120 (million)
% 5.60/1.36 % (3612869)Instruction limit reached!
% 5.60/1.36 % (3612869)------------------------------
% 5.60/1.36 % (3612869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.36 % (3612869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.36 % (3612869)CaDiCaL version: 2.1.3
% 5.60/1.36 % (3612869)Termination reason: Instruction limit
% 5.60/1.36 % (3612869)Termination phase: Preprocessing 3
% 5.60/1.36 % (3612869)Time elapsed: 0.087 s
% 5.60/1.36 % (3612869)Peak memory usage: 94 MB
% 5.60/1.36 % (3612869)Instructions burned: 140 (million)
% 5.60/1.36 % (3612878)lrs+10_1_sil=8000:sp=occurrence:random_seed=2739616511:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.60/1.36 % (3612878)Refutation not found, incomplete strategy
% 5.60/1.36 % (3612878)------------------------------
% 5.60/1.36 % (3612878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/1.36 % (3612878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.36 % (3612878)CaDiCaL version: 2.1.3
% 5.60/1.36 % (3612878)Termination reason: Refutation not found, incomplete strategy
% 5.60/1.36 % (3612878)Time elapsed: 0.012 s
% 5.60/1.36 % (3612878)Peak memory usage: 94 MB
% 5.60/1.36 % (3612878)Instructions burned: 27 (million)
% 11.98/2.15 % (3612879)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1632883329:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 11.98/2.15 % (3612880)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3002813353:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 11.98/2.15 % (3612879)Refutation not found, incomplete strategy
% 11.98/2.15 % (3612879)------------------------------
% 11.98/2.15 % (3612879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/2.15 % (3612879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.15 % (3612879)CaDiCaL version: 2.1.3
% 11.98/2.15 % (3612879)Termination reason: Refutation not found, incomplete strategy
% 11.98/2.15 % (3612879)Time elapsed: 0.032 s
% 11.98/2.15 % (3612879)Peak memory usage: 94 MB
% 11.98/2.15 % (3612879)Instructions burned: 60 (million)
% 11.98/2.15 % (3612867)------------------------------
% 11.98/2.15 % (3612867)------------------------------
% 11.98/2.15 % (3612880)Refutation not found, incomplete strategy
% 11.98/2.15 % (3612880)------------------------------
% 11.98/2.15 % (3612880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/2.15 % (3612880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/2.15 % (3612880)CaDiCaL version: 2.1.3
% 11.98/2.15 % (3612880)Termination reason: Refutation not found, incomplete strategy
% 11.98/2.15 % (3612880)Time elapsed: 0.017 s
% 11.98/2.15 % (3612880)Peak memory usage: 94 MB
% 11.98/2.15 % (3612880)Instructions burned: 20 (million)
% 11.98/2.15 % (3612878)------------------------------
% 11.98/2.15 % (3612878)------------------------------
% 11.98/2.15 % (3612884)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=222491150:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 11.98/2.15 [W928 23:54:46.357026725 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 11.98/2.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.98/2.15 [W928 23:54:46.357061635 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 11.98/2.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.98/2.15 [W928 23:54:46.357100672 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 11.98/2.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.98/2.15 [W928 23:54:46.357113729 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 11.98/2.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.98/2.15 [W928 23:54:46.357139172 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 11.98/2.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.98/2.15 [W928 23:54:46.357150496 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 11.98/2.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.98/2.15 [W928 23:54:46.357178566 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 11.98/2.15 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 11.98/2.15 [W928 23:54:46.357189936 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 8.29/2.41 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.29/2.41 [W928 23:54:46.357215063 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 8.29/2.41 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.29/2.41 [W928 23:54:46.357225330 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 8.29/2.41 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.29/2.41 [W928 23:54:46.357250196 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 8.29/2.41 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.29/2.41 [W928 23:54:46.357269880 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 8.29/2.41 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 8.29/2.41 % (3612885)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=879841034:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 8.29/2.41 % (3612879)------------------------------
% 8.29/2.41 % (3612879)------------------------------
% 8.29/2.41 % (3612885)Instruction limit reached!
% 8.29/2.41 % (3612885)------------------------------
% 8.29/2.41 % (3612885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.29/2.41 % (3612885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.29/2.41 % (3612885)CaDiCaL version: 2.1.3
% 8.29/2.41 % (3612885)Termination reason: Instruction limit
% 8.29/2.41 % (3612885)Termination phase: Saturation
% 8.29/2.41 % (3612885)Time elapsed: 0.079 s
% 8.29/2.41 % (3612885)Peak memory usage: 94 MB
% 8.29/2.41 % (3612885)Instructions burned: 295 (million)
% 8.29/2.41 % (3612880)------------------------------
% 8.29/2.41 % (3612880)------------------------------
% 8.29/2.41 % (3612884)Instruction limit reached!
% 8.29/2.41 % (3612884)------------------------------
% 8.29/2.41 % (3612884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.29/2.41 % (3612884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.29/2.41 % (3612884)CaDiCaL version: 2.1.3
% 8.29/2.41 % (3612884)Termination reason: Instruction limit
% 8.29/2.41 % (3612884)Termination phase: Saturation
% 8.29/2.41 % (3612884)Time elapsed: 0.128 s
% 8.29/2.41 % (3612884)Peak memory usage: 99 MB
% 8.29/2.41 % (3612884)Instructions burned: 250 (million)
% 8.29/2.41 % (3612888)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1651336940:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 8.29/2.41 % (3612866)Refutation not found, incomplete strategy
% 8.29/2.41 % (3612866)------------------------------
% 8.29/2.41 % (3612866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.29/2.41 % (3612866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.29/2.41 % (3612866)CaDiCaL version: 2.1.3
% 8.29/2.41 % (3612866)Termination reason: Refutation not found, incomplete strategy
% 8.29/2.41 % (3612866)Time elapsed: 0.656 s
% 8.29/2.41 % (3612866)Peak memory usage: 149 MB
% 8.29/2.41 % (3612866)Instructions burned: 955 (million)
% 8.29/2.41 % (3612889)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1617974870:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 8.29/2.41 % (3612890)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3022348844:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 8.29/2.41 % (3612891)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=859618212:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.29/2.41 % (3612889)Instruction limit reached!
% 8.29/2.41 % (3612889)------------------------------
% 8.29/2.41 % (3612889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.29/2.41 % (3612889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.29/2.41 % (3612889)CaDiCaL version: 2.1.3
% 8.29/2.41 % (3612889)Termination reason: Instruction limit
% 8.29/2.41 % (3612889)Termination phase: Saturation
% 8.29/2.41 % (3612889)Time elapsed: 0.064 s
% 8.29/2.41 % (3612889)Peak memory usage: 94 MB
% 8.29/2.41 % (3612889)Instructions burned: 113 (million)
% 8.29/2.41 % (3612891)Instruction limit reached!
% 8.29/2.41 % (3612891)------------------------------
% 8.29/2.41 % (3612891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.29/2.41 % (3612891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.29/2.41 % (3612891)CaDiCaL version: 2.1.3
% 8.29/2.41 % (3612891)Termination reason: Instruction limit
% 8.29/2.41 % (3612891)Termination phase: Property scanning
% 8.29/2.41 % (3612891)Time elapsed: 0.060 s
% 8.29/2.41 % (3612891)Peak memory usage: 92 MB
% 8.29/2.41 % (3612891)Instructions burned: 114 (million)
% 8.29/2.41 % (3612890)Instruction limit reached!
% 8.29/2.41 % (3612890)------------------------------
% 8.29/2.41 % (3612890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.29/2.41 % (3612890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.29/2.41 % (3612890)CaDiCaL version: 2.1.3
% 8.29/2.41 % (3612890)Termination reason: Instruction limit
% 8.29/2.41 % (3612890)Termination phase: Property scanning
% 8.29/2.41 % (3612890)Time elapsed: 0.079 s
% 8.29/2.41 % (3612890)Peak memory usage: 96 MB
% 8.29/2.41 % (3612890)Instructions burned: 127 (million)
% 8.29/2.41 % (3612896)lrs+10_1_sil=8000:sp=occurrence:random_seed=2498176790:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 8.29/2.41 % (3612866)------------------------------
% 8.29/2.41 % (3612866)------------------------------
% 8.29/2.41 % (3612898)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=572659570:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 8.29/2.41 % (3612897)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2149460520:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 8.29/2.41 % (3612897)Refutation not found, incomplete strategy
% 8.29/2.41 % (3612897)------------------------------
% 8.29/2.41 % (3612897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.29/2.41 % (3612897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.29/2.41 % (3612897)CaDiCaL version: 2.1.3
% 8.29/2.41 % (3612897)Termination reason: Refutation not found, incomplete strategy
% 8.29/2.41 % (3612897)Time elapsed: 0.016 s
% 8.29/2.41 % (3612897)Peak memory usage: 92 MB
% 8.29/2.41 % (3612897)Instructions burned: 19 (million)
% 8.29/2.41 % (3612900)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3152049979:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 8.29/2.41 % (3612900)Refutation not found, incomplete strategy
% 8.29/2.41 % (3612900)------------------------------
% 8.29/2.41 % (3612900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.29/2.41 % (3612900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.29/2.41 % (3612900)CaDiCaL version: 2.1.3
% 8.29/2.41 % (3612900)Termination reason: Refutation not found, incomplete strategy
% 8.29/2.41 % (3612900)Time elapsed: 0.018 s
% 8.29/2.41 % (3612900)Peak memory usage: 94 MB
% 8.29/2.41 % (3612900)Instructions burned: 24 (million)
% 8.29/2.41 % (3612897)------------------------------
% 8.29/2.41 % (3612897)------------------------------
% 8.29/2.41 % (3612900)------------------------------
% 8.29/2.41 % (3612900)------------------------------
% 8.29/2.41 % (3612904)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1683104232:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 8.29/2.41 % (3612896)Instruction limit reached!
% 8.29/2.41 % (3612896)------------------------------
% 8.29/2.41 % (3612896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.29/2.41 % (3612896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.29/2.41 % (3612896)CaDiCaL version: 2.1.3
% 8.29/2.41 % (3612896)Termination reason: Instruction limit
% 8.29/2.41 % (3612896)Termination phase: Saturation
% 8.29/2.41 % (3612896)Time elapsed: 0.518 s
% 8.29/2.41 % (3612896)Peak memory usage: 106 MB
% 8.29/2.41 % (3612896)Instructions burned: 907 (million)
% 8.29/2.41 % (3612904)First to succeed.
% 8.29/2.41 % (3612904)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3612859"
% 8.29/2.41 % (3612905)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3249672786:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 14.18/2.63 % (3612888)Instruction limit reached!
% 14.18/2.63 % (3612888)------------------------------
% 14.18/2.63 % (3612888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.18/2.63 % (3612888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.18/2.63 % (3612888)CaDiCaL version: 2.1.3
% 14.18/2.63 % (3612888)Termination reason: Instruction limit
% 14.18/2.63 % (3612888)Termination phase: Saturation
% 14.18/2.63 % (3612888)Time elapsed: 0.899 s
% 14.18/2.63 % (3612888)Peak memory usage: 213 MB
% 14.18/2.63 % (3612888)Instructions burned: 2351 (million)
% 14.18/2.63 % (3612907)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=1599027825:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 14.18/2.63 % (3612907)Refutation not found, incomplete strategy
% 14.18/2.63 % (3612907)------------------------------
% 14.18/2.63 % (3612907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.18/2.63 % (3612907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.18/2.63 % (3612907)CaDiCaL version: 2.1.3
% 14.18/2.63 % (3612907)Termination reason: Refutation not found, incomplete strategy
% 14.18/2.63 % (3612907)Time elapsed: 0.044 s
% 14.18/2.63 % (3612907)Peak memory usage: 94 MB
% 14.18/2.63 % (3612907)Instructions burned: 80 (million)
% 14.18/2.63 % (3612909)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2869563860:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 14.18/2.63 % (3612909)Instruction limit reached!
% 14.18/2.63 % (3612909)------------------------------
% 14.18/2.63 % (3612909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.18/2.63 % (3612909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.18/2.63 % (3612909)CaDiCaL version: 2.1.3
% 14.18/2.63 % (3612909)Termination reason: Instruction limit
% 14.18/2.63 % (3612909)Termination phase: Preprocessing 2
% 14.18/2.63 % (3612909)Time elapsed: 0.041 s
% 14.18/2.63 % (3612909)Peak memory usage: 92 MB
% 14.18/2.63 % (3612909)Instructions burned: 136 (million)
% 14.18/2.63 % (3612904)Refutation found. Thanks to Tanya!
% 14.18/2.63 % SZS status Theorem for theBenchmark
% 14.18/2.63 % SZS output start Proof for theBenchmark
% See solution above
% 14.18/2.63 % (3612904)------------------------------
% 14.18/2.63 % (3612904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.18/2.63 % (3612904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.18/2.63 % (3612904)CaDiCaL version: 2.1.3
% 14.18/2.63 % (3612904)Termination reason: Refutation
% 14.18/2.63 % (3612904)Time elapsed: 0.103 s
% 14.18/2.63 % (3612904)Peak memory usage: 98 MB
% 14.18/2.63 % (3612904)Instructions burned: 171 (million)
% 14.18/2.63 % (3612904)------------------------------
% 14.18/2.63 % (3612904)------------------------------
% 14.18/2.63 % (3612859)Success in time 2.01 s
% 14.18/2.63 % Vampire exiting
%------------------------------------------------------------------------------