%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT033+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 09:36:47 AM UTC 2026
% Result : Theorem 48.29s 12.98s
% Output : Refutation 48.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 9 unt; 0 def)
% Number of atoms : 97 ( 6 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 112 ( 47 ~; 41 |; 14 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 39 ( 35 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f26363,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ~ v1_xboole_0(k17_ens_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_ens_1) ).
fof(f26430,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_cat_1(X1))
=> ( r1_tarski(k17_ens_1(X1),X0)
=> m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_ens_1) ).
fof(f42646,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_yoneda_1) ).
fof(f42648,conjecture,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_cat_1(X0))
=> m2_cat_1(k20_ens_1(X0,X1),X0,k1_yoneda_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_yoneda_1) ).
fof(f42649,negated_conjecture,
~ ! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_cat_1(X0))
=> m2_cat_1(k20_ens_1(X0,X1),X0,k1_yoneda_1(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f42648]) ).
fof(f42663,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f18]) ).
fof(f42734,plain,
! [X0] :
( k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f42646]) ).
fof(f42735,plain,
! [X0] :
( k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f42734]) ).
fof(f42738,plain,
? [X0] :
( ? [X1] :
( ~ m2_cat_1(k20_ens_1(X0,X1),X0,k1_yoneda_1(X0))
& m1_subset_1(X1,u1_cat_1(X0)) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(ennf_transformation,[],[f42649]) ).
fof(f42739,plain,
? [X0] :
( ? [X1] :
( ~ m2_cat_1(k20_ens_1(X0,X1),X0,k1_yoneda_1(X0))
& m1_subset_1(X1,u1_cat_1(X0)) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(flattening,[],[f42738]) ).
fof(f42796,plain,
! [X0] :
( ~ v1_xboole_0(k17_ens_1(X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f26363]) ).
fof(f42797,plain,
! [X0] :
( ~ v1_xboole_0(k17_ens_1(X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f42796]) ).
fof(f42983,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0))
| ~ r1_tarski(k17_ens_1(X1),X0)
| ~ m1_subset_1(X2,u1_cat_1(X1)) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f26430]) ).
fof(f42984,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0))
| ~ r1_tarski(k17_ens_1(X1),X0)
| ~ m1_subset_1(X2,u1_cat_1(X1)) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f42983]) ).
fof(f47067,plain,
( ~ m2_cat_1(k20_ens_1(sK21,sK22),sK21,k1_yoneda_1(sK21))
& m1_subset_1(sK22,u1_cat_1(sK21))
& v2_cat_1(sK21)
& l1_cat_1(sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22]),skolemize(X0,sK21),skolemize(X1,sK22)],[f42739]) ).
fof(f48336,plain,
! [X0] :
( ~ v2_cat_1(X0)
| k1_yoneda_1(X0) = k12_ens_1(k17_ens_1(X0))
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f42735]) ).
fof(f48338,plain,
l1_cat_1(sK21),
inference(cnf_transformation,[],[f47067]) ).
fof(f48339,plain,
v2_cat_1(sK21),
inference(cnf_transformation,[],[f47067]) ).
fof(f48340,plain,
m1_subset_1(sK22,u1_cat_1(sK21)),
inference(cnf_transformation,[],[f47067]) ).
fof(f48341,plain,
~ m2_cat_1(k20_ens_1(sK21,sK22),sK21,k1_yoneda_1(sK21)),
inference(cnf_transformation,[],[f47067]) ).
fof(f48426,plain,
! [X0] :
( ~ v1_xboole_0(k17_ens_1(X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f42797]) ).
fof(f48745,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k17_ens_1(X1),X0)
| m2_cat_1(k20_ens_1(X1,X2),X1,k12_ens_1(X0))
| ~ m1_subset_1(X2,u1_cat_1(X1))
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f42984]) ).
fof(f48963,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f42663]) ).
fof(f56814,plain,
( k1_yoneda_1(sK21) = k12_ens_1(k17_ens_1(sK21))
| ~ l1_cat_1(sK21) ),
inference(resolution,[],[f48336,f48339]) ).
fof(f56815,plain,
k1_yoneda_1(sK21) = k12_ens_1(k17_ens_1(sK21)),
inference(forward_subsumption_resolution,[],[f56814,f48338]) ).
fof(f56825,plain,
! [X0,X1] :
( m2_cat_1(k20_ens_1(X0,X1),X0,k12_ens_1(k17_ens_1(X0)))
| ~ m1_subset_1(X1,u1_cat_1(X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| v1_xboole_0(k17_ens_1(X0)) ),
inference(resolution,[],[f48963,f48745]) ).
fof(f56826,plain,
! [X0,X1] :
( m2_cat_1(k20_ens_1(X0,X1),X0,k12_ens_1(k17_ens_1(X0)))
| ~ m1_subset_1(X1,u1_cat_1(X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f56825,f48426]) ).
fof(f56828,plain,
! [X0] :
( m2_cat_1(k20_ens_1(sK21,X0),sK21,k1_yoneda_1(sK21))
| ~ m1_subset_1(X0,u1_cat_1(sK21))
| ~ v2_cat_1(sK21)
| ~ l1_cat_1(sK21) ),
inference(superposition,[],[f56826,f56815]) ).
fof(f56829,plain,
! [X0] :
( m2_cat_1(k20_ens_1(sK21,X0),sK21,k1_yoneda_1(sK21))
| ~ m1_subset_1(X0,u1_cat_1(sK21))
| ~ l1_cat_1(sK21) ),
inference(forward_subsumption_resolution,[],[f56828,f48339]) ).
fof(f56830,plain,
! [X0] :
( m2_cat_1(k20_ens_1(sK21,X0),sK21,k1_yoneda_1(sK21))
| ~ m1_subset_1(X0,u1_cat_1(sK21)) ),
inference(forward_subsumption_resolution,[],[f56829,f48338]) ).
fof(f56831,plain,
$false,
inference(unit_resulting_resolution,[],[f56830,f48340,f48341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT033+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.27 % Computer : n004.cluster.edu
% 0.10/0.27 % Model : x86_64 x86_64
% 0.10/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.27 % Memory : 8046.5625MB
% 0.10/0.27 % OS : Linux 6.8.0-71-generic
% 0.10/0.27 % CPULimit : 300
% 0.10/0.27 % WCLimit : 300
% 0.10/0.27 % DateTime : Mon Sep 28 21:21:00 UTC 2026
% 0.10/0.27 % CPUTime :
% 0.10/0.27 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.33 Running first-order theorem proving
% 0.26/0.33 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
% 32.73/10.37 % (799522)Detected formulas, will run a generic FOF schedule.
% 32.73/10.37 % (799527)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=1202299923:i=141193_2945 on theBenchmark for (2945ds/141193Mi)
% 32.73/10.37 % (799528)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=2710688330:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2945 on theBenchmark for (2945ds/134677Mi)
% 32.73/10.37 % (799529)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=931800799:i=141695:sd=1:nm=32:gsp=on:ss=included_2945 on theBenchmark for (2945ds/141695Mi)
% 32.73/10.37 % (799530)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1504285928:i=109:sd=1:ins=1:gsp=on:ss=axioms_2945 on theBenchmark for (2945ds/109Mi)
% 32.73/10.37 % (799531)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3220413595:i=119:av=off:ss=axioms_2945 on theBenchmark for (2945ds/119Mi)
% 32.73/10.37 % (799532)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1489282370:s2a=on:i=139:gtg=position_2945 on theBenchmark for (2945ds/139Mi)
% 32.73/10.37 % (799533)dis-21_1_sil=8000:lcm=predicate:random_seed=3165603000:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2945 on theBenchmark for (2945ds/129Mi)
% 32.73/10.37 % (799530)Instruction limit reached!
% 32.73/10.37 % (799530)------------------------------
% 32.73/10.37 % (799530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/10.37 % (799530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/10.37 % (799530)CaDiCaL version: 2.1.3
% 32.73/10.37 % (799530)Termination reason: Instruction limit
% 32.73/10.37 % (799530)Termination phase: SInE selection
% 32.73/10.37 % (799530)Time elapsed: 0.130 s
% 32.73/10.37 % (799530)Peak memory usage: 148 MB
% 32.73/10.37 % (799530)Instructions burned: 109 (million)
% 32.73/10.37 % (799532)Instruction limit reached!
% 32.73/10.37 % (799532)------------------------------
% 32.73/10.37 % (799532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/10.37 % (799532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/10.37 % (799532)CaDiCaL version: 2.1.3
% 32.73/10.37 % (799532)Termination reason: Instruction limit
% 32.73/10.37 % (799532)Termination phase: Property scanning
% 32.73/10.37 % (799532)Time elapsed: 0.123 s
% 32.73/10.37 % (799532)Peak memory usage: 148 MB
% 32.73/10.37 % (799532)Instructions burned: 140 (million)
% 32.73/10.37 % (799531)Instruction limit reached!
% 32.73/10.37 % (799531)------------------------------
% 32.73/10.37 % (799531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/10.37 % (799531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/10.37 % (799531)CaDiCaL version: 2.1.3
% 32.73/10.37 % (799531)Termination reason: Instruction limit
% 32.73/10.37 % (799531)Termination phase: SInE selection
% 32.73/10.37 % (799531)Time elapsed: 0.147 s
% 32.73/10.37 % (799531)Peak memory usage: 148 MB
% 32.73/10.37 % (799531)Instructions burned: 120 (million)
% 32.73/10.37 % (799533)Instruction limit reached!
% 32.73/10.37 % (799533)------------------------------
% 32.73/10.37 % (799533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.73/10.37 % (799533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.73/10.37 % (799533)CaDiCaL version: 2.1.3
% 32.73/10.37 % (799533)Termination reason: Instruction limit
% 32.73/10.37 % (799533)Termination phase: SInE selection
% 32.73/10.37 % (799533)Time elapsed: 0.157 s
% 32.73/10.37 % (799533)Peak memory usage: 148 MB
% 32.73/10.37 % (799533)Instructions burned: 129 (million)
% 32.73/10.37 % (799542)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2164640603:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2941 on theBenchmark for (2941ds/157Mi)
% 32.73/10.37 % (799543)lrs+1011_1_sil=32000:sp=occurrence:random_seed=171573793:i=325:sd=1:ss=axioms:sgt=32_2941 on theBenchmark for (2941ds/325Mi)
% 32.73/10.37 % (799541)lrs+10_1_sil=8000:sp=occurrence:random_seed=2394544354:i=285:sd=3:ss=axioms:sgt=8_2941 on theBenchmark for (2941ds/285Mi)
% 32.73/10.37 % (799544)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=1953737760:s2a=on:i=248:s2at=1.23:gtg=position_2940 on theBenchmark for (2940ds/248Mi)
% 32.73/10.37 % (799542)Instruction limit reached!
% 32.73/10.37 % (799542)------------------------------
% 46.23/12.25 % (799542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.23/12.25 % (799542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.23/12.25 % (799542)CaDiCaL version: 2.1.3
% 46.23/12.25 % (799542)Termination reason: Instruction limit
% 46.23/12.25 % (799542)Termination phase: Property scanning
% 46.23/12.25 % (799542)Time elapsed: 0.134 s
% 46.23/12.25 % (799542)Peak memory usage: 148 MB
% 46.23/12.25 % (799542)Instructions burned: 157 (million)
% 46.23/12.25 % (799544)Instruction limit reached!
% 46.23/12.25 % (799544)------------------------------
% 46.23/12.25 % (799544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.23/12.25 % (799544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.23/12.25 % (799544)CaDiCaL version: 2.1.3
% 46.23/12.25 % (799544)Termination reason: Instruction limit
% 46.23/12.25 % (799544)Termination phase: Property scanning
% 46.23/12.25 % (799544)Time elapsed: 0.207 s
% 46.23/12.25 % (799544)Peak memory usage: 149 MB
% 46.23/12.25 % (799544)Instructions burned: 249 (million)
% 46.23/12.25 % (799541)Instruction limit reached!
% 46.23/12.25 % (799541)------------------------------
% 46.23/12.25 % (799541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.23/12.25 % (799541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.23/12.25 % (799541)CaDiCaL version: 2.1.3
% 46.23/12.25 % (799541)Termination reason: Instruction limit
% 46.23/12.25 % (799541)Termination phase: SInE selection
% 46.23/12.25 % (799541)Time elapsed: 0.322 s
% 46.23/12.25 % (799541)Peak memory usage: 149 MB
% 46.23/12.25 % (799541)Instructions burned: 285 (million)
% 46.23/12.25 % (799543)Refutation not found, incomplete strategy
% 46.23/12.25 % (799543)------------------------------
% 46.23/12.25 % (799543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.23/12.25 % (799543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.23/12.25 % (799543)CaDiCaL version: 2.1.3
% 46.23/12.25 % (799543)Termination reason: Refutation not found, incomplete strategy
% 46.23/12.25 % (799543)Time elapsed: 0.390 s
% 46.23/12.25 % (799543)Peak memory usage: 154 MB
% 46.23/12.25 % (799543)Instructions burned: 314 (million)
% 46.23/12.25 % (799549)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2963554395:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2937 on theBenchmark for (2937ds/294Mi)
% 46.23/12.25 % (799550)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2006449543:i=2350_2936 on theBenchmark for (2936ds/2350Mi)
% 46.23/12.25 % (799551)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3032037710:cts=off:i=113:fsr=off:ss=included:sgt=4_2935 on theBenchmark for (2935ds/113Mi)
% 46.23/12.25 % (799549)Instruction limit reached!
% 46.23/12.25 % (799549)------------------------------
% 46.23/12.25 % (799549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.23/12.25 % (799549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.23/12.25 % (799549)CaDiCaL version: 2.1.3
% 46.23/12.25 % (799549)Termination reason: Instruction limit
% 46.23/12.25 % (799549)Termination phase: SInE selection
% 46.23/12.25 % (799549)Time elapsed: 0.302 s
% 46.23/12.25 % (799549)Peak memory usage: 149 MB
% 46.23/12.25 % (799549)Instructions burned: 294 (million)
% 46.23/12.25 % (799551)Instruction limit reached!
% 46.23/12.25 % (799551)------------------------------
% 46.23/12.25 % (799551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.23/12.25 % (799551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.23/12.25 % (799551)CaDiCaL version: 2.1.3
% 46.23/12.25 % (799551)Termination reason: Instruction limit
% 46.23/12.25 % (799551)Termination phase: SInE selection
% 46.23/12.25 % (799551)Time elapsed: 0.135 s
% 46.23/12.25 % (799551)Peak memory usage: 148 MB
% 46.23/12.25 % (799551)Instructions burned: 113 (million)
% 46.23/12.25 % (799543)------------------------------
% 46.23/12.25 % (799543)------------------------------
% 46.23/12.25 % (799555)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=22926299:i=127:av=off:fsr=off:sup=off_2931 on theBenchmark for (2931ds/127Mi)
% 46.23/12.25 % (799556)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3922516166:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2931 on theBenchmark for (2931ds/114Mi)
% 46.23/12.25 % (799556)Instruction limit reached!
% 46.23/12.25 % (799556)------------------------------
% 46.23/12.25 % (799556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.23/12.25 % (799556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.98/12.56 % (799556)CaDiCaL version: 2.1.3
% 35.98/12.56 % (799556)Termination reason: Instruction limit
% 35.98/12.56 % (799556)Termination phase: Property scanning
% 35.98/12.56 % (799556)Time elapsed: 0.100 s
% 35.98/12.56 % (799556)Peak memory usage: 148 MB
% 35.98/12.56 % (799556)Instructions burned: 115 (million)
% 35.98/12.56 % (799557)lrs+10_1_sil=8000:sp=occurrence:random_seed=4156347758:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2930 on theBenchmark for (2930ds/907Mi)
% 35.98/12.56 % (799555)Instruction limit reached!
% 35.98/12.56 % (799555)------------------------------
% 35.98/12.56 % (799555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.98/12.56 % (799555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.98/12.56 % (799555)CaDiCaL version: 2.1.3
% 35.98/12.56 % (799555)Termination reason: Instruction limit
% 35.98/12.56 % (799555)Termination phase: Preprocessing 1
% 35.98/12.56 % (799555)Time elapsed: 0.153 s
% 35.98/12.56 % (799555)Peak memory usage: 150 MB
% 35.98/12.56 % (799555)Instructions burned: 127 (million)
% 35.98/12.56 % (799560)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1883557554:i=437:sd=1:aac=none:ss=included_2928 on theBenchmark for (2928ds/437Mi)
% 35.98/12.56 % (799562)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2953998417:i=5202:ss=axioms:sgt=16_2927 on theBenchmark for (2927ds/5202Mi)
% 35.98/12.56 % (799560)Refutation not found, incomplete strategy
% 35.98/12.56 % (799560)------------------------------
% 35.98/12.56 % (799560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.98/12.56 % (799560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.98/12.56 % (799560)CaDiCaL version: 2.1.3
% 35.98/12.56 % (799560)Termination reason: Refutation not found, incomplete strategy
% 35.98/12.56 % (799560)Time elapsed: 0.424 s
% 35.98/12.56 % (799560)Peak memory usage: 155 MB
% 35.98/12.56 % (799560)Instructions burned: 347 (million)
% 35.98/12.56 % (799557)Instruction limit reached!
% 35.98/12.56 % (799557)------------------------------
% 35.98/12.56 % (799557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.98/12.56 % (799557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.98/12.56 % (799557)CaDiCaL version: 2.1.3
% 35.98/12.56 % (799557)Termination reason: Instruction limit
% 35.98/12.56 % (799557)Termination phase: Property scanning
% 35.98/12.56 % (799557)Time elapsed: 1.011 s
% 35.98/12.56 % (799557)Peak memory usage: 169 MB
% 35.98/12.56 % (799557)Instructions burned: 908 (million)
% 35.98/12.56 % (799560)------------------------------
% 35.98/12.56 % (799560)------------------------------
% 35.98/12.56 % (799565)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1996755335:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2917 on theBenchmark for (2917ds/134Mi)
% 35.98/12.56 % (799566)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=288738021:st=8:i=592:sd=3:ep=RST:ss=axioms_2916 on theBenchmark for (2916ds/592Mi)
% 35.98/12.56 % (799565)Instruction limit reached!
% 35.98/12.56 % (799565)------------------------------
% 35.98/12.56 % (799565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.98/12.56 % (799565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.98/12.56 % (799565)CaDiCaL version: 2.1.3
% 35.98/12.56 % (799565)Termination reason: Instruction limit
% 35.98/12.56 % (799565)Termination phase: SInE selection
% 35.98/12.56 % (799565)Time elapsed: 0.161 s
% 35.98/12.56 % (799565)Peak memory usage: 148 MB
% 35.98/12.56 % (799565)Instructions burned: 134 (million)
% 35.98/12.56 % (799569)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3917285176:st=3:i=13193:sd=3:ss=axioms_2913 on theBenchmark for (2913ds/13193Mi)
% 35.98/12.56 % (799566)Instruction limit reached!
% 35.98/12.56 % (799566)------------------------------
% 35.98/12.56 % (799566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.98/12.56 % (799566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.98/12.56 % (799566)CaDiCaL version: 2.1.3
% 35.98/12.56 % (799566)Termination reason: Instruction limit
% 35.98/12.56 % (799566)Termination phase: Unused predicate definition removal
% 35.98/12.56 % (799566)Time elapsed: 0.673 s
% 35.98/12.56 % (799566)Peak memory usage: 153 MB
% 35.98/12.56 % (799566)Instructions burned: 592 (million)
% 35.98/12.56 % (799550)Instruction limit reached!
% 35.98/12.56 % (799550)------------------------------
% 35.98/12.56 % (799550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.29/12.98 % (799550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.29/12.98 % (799550)CaDiCaL version: 2.1.3
% 48.29/12.98 % (799550)Termination reason: Instruction limit
% 48.29/12.98 % (799550)Termination phase: Preprocessing 3
% 48.29/12.98 % (799550)Time elapsed: 2.672 s
% 48.29/12.98 % (799550)Peak memory usage: 249 MB
% 48.29/12.98 % (799550)Instructions burned: 2350 (million)
% 48.29/12.98 % (799571)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=70753927:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2907 on theBenchmark for (2907ds/125Mi)
% 48.29/12.98 % (799572)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2772164839:i=134:gtgl=5:slsql=off:gtg=exists_sym_2906 on theBenchmark for (2906ds/134Mi)
% 48.29/12.98 % (799571)Instruction limit reached!
% 48.29/12.98 % (799571)------------------------------
% 48.29/12.98 % (799571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.29/12.98 % (799571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.29/12.98 % (799571)CaDiCaL version: 2.1.3
% 48.29/12.98 % (799571)Termination reason: Instruction limit
% 48.29/12.98 % (799571)Termination phase: Property scanning
% 48.29/12.98 % (799571)Time elapsed: 0.109 s
% 48.29/12.98 % (799571)Peak memory usage: 149 MB
% 48.29/12.98 % (799571)Instructions burned: 126 (million)
% 48.29/12.98 % (799572)Instruction limit reached!
% 48.29/12.98 % (799572)------------------------------
% 48.29/12.98 % (799572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.29/12.98 % (799572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.29/12.98 % (799572)CaDiCaL version: 2.1.3
% 48.29/12.98 % (799572)Termination reason: Instruction limit
% 48.29/12.98 % (799572)Termination phase: Property scanning
% 48.29/12.98 % (799572)Time elapsed: 0.115 s
% 48.29/12.98 % (799572)Peak memory usage: 149 MB
% 48.29/12.98 % (799572)Instructions burned: 135 (million)
% 48.29/12.98 % (799575)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3843482650:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2904 on theBenchmark for (2904ds/141Mi)
% 48.29/12.98 % (799576)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2700946316:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2903 on theBenchmark for (2903ds/431Mi)
% 48.29/12.98 % (799575)Instruction limit reached!
% 48.29/12.98 % (799575)------------------------------
% 48.29/12.98 % (799575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.29/12.98 % (799575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.29/12.98 % (799575)CaDiCaL version: 2.1.3
% 48.29/12.98 % (799575)Termination reason: Instruction limit
% 48.29/12.98 % (799575)Termination phase: SInE selection
% 48.29/12.98 % (799575)Time elapsed: 0.170 s
% 48.29/12.98 % (799575)Peak memory usage: 148 MB
% 48.29/12.98 % (799575)Instructions burned: 141 (million)
% 48.29/12.98 % (799579)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1124837490:i=6060:aac=none:ins=25_2899 on theBenchmark for (2899ds/6060Mi)
% 48.29/12.98 % (799576)Refutation not found, incomplete strategy
% 48.29/12.98 % (799576)------------------------------
% 48.29/12.98 % (799576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.29/12.98 % (799576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.29/12.98 % (799576)CaDiCaL version: 2.1.3
% 48.29/12.98 % (799576)Termination reason: Refutation not found, incomplete strategy
% 48.29/12.98 % (799576)Time elapsed: 0.385 s
% 48.29/12.98 % (799576)Peak memory usage: 155 MB
% 48.29/12.98 % (799576)Instructions burned: 313 (million)
% 48.29/12.98 % (799576)------------------------------
% 48.29/12.98 % (799576)------------------------------
% 48.29/12.98 % (799528)First to succeed.
% 48.29/12.98 % (799528)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-799522"
% 48.29/12.98 % (799581)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=595238252:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2892 on theBenchmark for (2892ds/150Mi)
% 48.29/12.98 % (799581)Instruction limit reached!
% 48.29/12.98 % (799581)------------------------------
% 48.29/12.98 % (799581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.29/12.98 % (799581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.29/12.98 % (799581)CaDiCaL version: 2.1.3
% 48.29/12.98 % (799581)Termination reason: Instruction limit
% 48.29/12.98 % (799581)Termination phase: SInE selection
% 48.29/12.98 % (799581)Time elapsed: 0.180 s
% 48.29/12.98 % (799581)Peak memory usage: 148 MB
% 48.29/12.98 % (799581)Instructions burned: 151 (million)
% 48.29/12.98 % (799528)Refutation found. Thanks to Tanya!
% 48.29/12.98 % SZS status Theorem for theBenchmark
% 48.29/12.98 % SZS output start Proof for theBenchmark
% See solution above
% 48.29/12.98 % (799528)------------------------------
% 48.29/12.98 % (799528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.29/12.98 % (799528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.29/12.98 % (799528)CaDiCaL version: 2.1.3
% 48.29/12.98 % (799528)Termination reason: Refutation
% 48.29/12.98 % (799528)Time elapsed: 5.097 s
% 48.29/12.98 % (799528)Peak memory usage: 282 MB
% 48.29/12.98 % (799528)Instructions burned: 4819 (million)
% 48.29/12.98 % (799528)------------------------------
% 48.29/12.98 % (799528)------------------------------
% 48.29/12.98 % (799522)Success in time 11.461 s
% 48.29/12.98 % Vampire exiting
%------------------------------------------------------------------------------