%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV637+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:58:28 PM UTC 2026
% Result : Theorem 16.09s 3.50s
% Output : Refutation 16.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 7 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 102 ( 45 ~; 34 |; 10 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 32 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f247,axiom,
! [X0,X1] :
( cIndProp_2elt___24a2(X0,X1)
<=> p(cCoq_2eInit_2ePeano_2ele___24a2(cCoq_2eInit_2eDatatypes_2eS___24a1(X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_IndProp.lt') ).
fof(f1393,axiom,
! [X0] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X0)
=> ! [X1] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X1)
=> ( p(cCoq_2eInit_2ePeano_2ele___24a2(cCoq_2eInit_2eDatatypes_2eS___24a1(X0),X1))
=> p(cCoq_2eInit_2ePeano_2ele___24a2(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Coq.Arith.Le.le_Sn_le') ).
fof(f1395,axiom,
! [X0] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X0)
=> ! [X1] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X1)
=> ( p(cCoq_2eInit_2ePeano_2ele___24a2(X0,X1))
=> p(cCoq_2eInit_2ePeano_2ele___24a2(cCoq_2eInit_2eDatatypes_2eS___24a1(X0),cCoq_2eInit_2eDatatypes_2eS___24a1(X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Coq.Arith.Le.le_n_S') ).
fof(f2982,conjecture,
! [X0] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X0)
=> ! [X1] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X1)
=> ( cIndProp_2elt___24a2(X0,X1)
=> cIndProp_2elt___24a2(X0,cCoq_2eInit_2eDatatypes_2eS___24a1(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f2983,negated_conjecture,
~ ! [X0] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X0)
=> ! [X1] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X1)
=> ( cIndProp_2elt___24a2(X0,X1)
=> cIndProp_2elt___24a2(X0,cCoq_2eInit_2eDatatypes_2eS___24a1(X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f2982]) ).
fof(f2984,plain,
? [X0] :
( ? [X1] :
( ~ cIndProp_2elt___24a2(X0,cCoq_2eInit_2eDatatypes_2eS___24a1(X1))
& cIndProp_2elt___24a2(X0,X1)
& cCoq_2eInit_2eDatatypes_2enat___24t(X1) )
& cCoq_2eInit_2eDatatypes_2enat___24t(X0) ),
inference(ennf_transformation,[],[f2983]) ).
fof(f2985,plain,
? [X0] :
( ? [X1] :
( ~ cIndProp_2elt___24a2(X0,cCoq_2eInit_2eDatatypes_2eS___24a1(X1))
& cIndProp_2elt___24a2(X0,X1)
& cCoq_2eInit_2eDatatypes_2enat___24t(X1) )
& cCoq_2eInit_2eDatatypes_2enat___24t(X0) ),
inference(flattening,[],[f2984]) ).
fof(f3110,plain,
! [X0] :
( ! [X1] :
( p(cCoq_2eInit_2ePeano_2ele___24a2(cCoq_2eInit_2eDatatypes_2eS___24a1(X0),cCoq_2eInit_2eDatatypes_2eS___24a1(X1)))
| ~ p(cCoq_2eInit_2ePeano_2ele___24a2(X0,X1))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1) )
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X0) ),
inference(ennf_transformation,[],[f1395]) ).
fof(f3111,plain,
! [X0] :
( ! [X1] :
( p(cCoq_2eInit_2ePeano_2ele___24a2(cCoq_2eInit_2eDatatypes_2eS___24a1(X0),cCoq_2eInit_2eDatatypes_2eS___24a1(X1)))
| ~ p(cCoq_2eInit_2ePeano_2ele___24a2(X0,X1))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1) )
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X0) ),
inference(flattening,[],[f3110]) ).
fof(f3112,plain,
! [X0] :
( ! [X1] :
( p(cCoq_2eInit_2ePeano_2ele___24a2(X0,X1))
| ~ p(cCoq_2eInit_2ePeano_2ele___24a2(cCoq_2eInit_2eDatatypes_2eS___24a1(X0),X1))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1) )
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X0) ),
inference(ennf_transformation,[],[f1393]) ).
fof(f3113,plain,
! [X0] :
( ! [X1] :
( p(cCoq_2eInit_2ePeano_2ele___24a2(X0,X1))
| ~ p(cCoq_2eInit_2ePeano_2ele___24a2(cCoq_2eInit_2eDatatypes_2eS___24a1(X0),X1))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1) )
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X0) ),
inference(flattening,[],[f3112]) ).
fof(f3213,plain,
( ~ cIndProp_2elt___24a2(sK2,cCoq_2eInit_2eDatatypes_2eS___24a1(sK3))
& cIndProp_2elt___24a2(sK2,sK3)
& cCoq_2eInit_2eDatatypes_2enat___24t(sK3)
& cCoq_2eInit_2eDatatypes_2enat___24t(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f2985]) ).
fof(f3217,plain,
! [X0,X1] :
( ( cIndProp_2elt___24a2(X0,X1)
| ~ p(cCoq_2eInit_2ePeano_2ele___24a2(cCoq_2eInit_2eDatatypes_2eS___24a1(X0),X1)) )
& ( p(cCoq_2eInit_2ePeano_2ele___24a2(cCoq_2eInit_2eDatatypes_2eS___24a1(X0),X1))
| ~ cIndProp_2elt___24a2(X0,X1) ) ),
inference(nnf_transformation,[],[f247]) ).
fof(f3272,plain,
cCoq_2eInit_2eDatatypes_2enat___24t(sK2),
inference(cnf_transformation,[],[f3213]) ).
fof(f3273,plain,
cCoq_2eInit_2eDatatypes_2enat___24t(sK3),
inference(cnf_transformation,[],[f3213]) ).
fof(f3274,plain,
cIndProp_2elt___24a2(sK2,sK3),
inference(cnf_transformation,[],[f3213]) ).
fof(f3275,plain,
~ cIndProp_2elt___24a2(sK2,cCoq_2eInit_2eDatatypes_2eS___24a1(sK3)),
inference(cnf_transformation,[],[f3213]) ).
fof(f3306,plain,
! [X0,X1] :
( p(cCoq_2eInit_2ePeano_2ele___24a2(cCoq_2eInit_2eDatatypes_2eS___24a1(X0),X1))
| ~ cIndProp_2elt___24a2(X0,X1) ),
inference(cnf_transformation,[],[f3217]) ).
fof(f3307,plain,
! [X0,X1] :
( ~ p(cCoq_2eInit_2ePeano_2ele___24a2(cCoq_2eInit_2eDatatypes_2eS___24a1(X0),X1))
| cIndProp_2elt___24a2(X0,X1) ),
inference(cnf_transformation,[],[f3217]) ).
fof(f3408,plain,
! [X0,X1] :
( p(cCoq_2eInit_2ePeano_2ele___24a2(cCoq_2eInit_2eDatatypes_2eS___24a1(X0),cCoq_2eInit_2eDatatypes_2eS___24a1(X1)))
| ~ p(cCoq_2eInit_2ePeano_2ele___24a2(X0,X1))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X0) ),
inference(cnf_transformation,[],[f3111]) ).
fof(f3409,plain,
! [X0,X1] :
( ~ p(cCoq_2eInit_2ePeano_2ele___24a2(cCoq_2eInit_2eDatatypes_2eS___24a1(X0),X1))
| p(cCoq_2eInit_2ePeano_2ele___24a2(X0,X1))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X0) ),
inference(cnf_transformation,[],[f3113]) ).
fof(f3963,plain,
! [X0,X1] :
( cIndProp_2elt___24a2(X0,cCoq_2eInit_2eDatatypes_2eS___24a1(X1))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X0)
| ~ p(cCoq_2eInit_2ePeano_2ele___24a2(X0,X1)) ),
inference(resolution,[],[f3408,f3307]) ).
fof(f3975,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(sK3)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(sK2)
| ~ p(cCoq_2eInit_2ePeano_2ele___24a2(sK2,sK3)) ),
inference(resolution,[],[f3963,f3275]) ).
fof(f3985,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(sK2)
| ~ p(cCoq_2eInit_2ePeano_2ele___24a2(sK2,sK3)) ),
inference(forward_subsumption_resolution,[],[f3975,f3273]) ).
fof(f3986,plain,
~ p(cCoq_2eInit_2ePeano_2ele___24a2(sK2,sK3)),
inference(forward_subsumption_resolution,[],[f3985,f3272]) ).
fof(f4133,plain,
! [X0,X1] :
( p(cCoq_2eInit_2ePeano_2ele___24a2(X0,X1))
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X0)
| ~ cIndProp_2elt___24a2(X0,X1) ),
inference(resolution,[],[f3409,f3306]) ).
fof(f4154,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(sK3)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(sK2)
| ~ cIndProp_2elt___24a2(sK2,sK3) ),
inference(resolution,[],[f4133,f3986]) ).
fof(f4158,plain,
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(sK2)
| ~ cIndProp_2elt___24a2(sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f4154,f3273]) ).
fof(f4160,plain,
~ cIndProp_2elt___24a2(sK2,sK3),
inference(forward_subsumption_resolution,[],[f4158,f3272]) ).
fof(f4161,plain,
$false,
inference(forward_subsumption_resolution,[],[f4160,f3274]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV637+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n006.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 06:45:52 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.38/2.67 % (3778369)Detected formulas, will run a generic FOF schedule.
% 10.38/2.67 % (3778378)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3896204163:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 10.38/2.67 % (3778376)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=4256380647:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 10.38/2.67 % (3778379)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1304672429:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 10.38/2.67 % (3778375)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=4254685644:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 10.38/2.67 % (3778374)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=3369993122:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 10.38/2.67 % (3778377)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3692769615:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 10.38/2.67 % (3778378)Instruction limit reached!
% 10.38/2.67 % (3778378)------------------------------
% 10.38/2.67 % (3778378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.38/2.67 % (3778378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.38/2.67 % (3778378)CaDiCaL version: 2.1.3
% 10.38/2.67 % (3778378)Termination reason: Instruction limit
% 10.38/2.67 % (3778378)Termination phase: Saturation
% 10.38/2.67 % (3778378)Time elapsed: 0.039 s
% 10.38/2.67 % (3778378)Peak memory usage: 92 MB
% 10.38/2.67 % (3778378)Instructions burned: 120 (million)
% 10.38/2.67 % (3778380)dis-21_1_sil=8000:lcm=predicate:random_seed=4030301062:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 10.38/2.67 % (3778377)Refutation not found, incomplete strategy
% 10.38/2.67 % (3778377)------------------------------
% 10.38/2.67 % (3778377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.38/2.67 % (3778377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.38/2.67 % (3778377)CaDiCaL version: 2.1.3
% 10.38/2.67 % (3778377)Termination reason: Refutation not found, incomplete strategy
% 10.38/2.67 % (3778377)Time elapsed: 0.017 s
% 10.38/2.67 % (3778377)Peak memory usage: 92 MB
% 10.38/2.67 % (3778377)Instructions burned: 39 (million)
% 10.38/2.67 % (3778379)Instruction limit reached!
% 10.38/2.67 % (3778379)------------------------------
% 10.38/2.67 % (3778379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.38/2.67 % (3778379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.38/2.67 % (3778379)CaDiCaL version: 2.1.3
% 10.38/2.67 % (3778379)Termination reason: Instruction limit
% 10.38/2.67 % (3778379)Termination phase: Unused predicate definition removal
% 10.38/2.67 % (3778379)Time elapsed: 0.058 s
% 10.38/2.67 % (3778379)Peak memory usage: 89 MB
% 10.38/2.67 % (3778379)Instructions burned: 139 (million)
% 10.38/2.67 % (3778380)Instruction limit reached!
% 10.38/2.67 % (3778380)------------------------------
% 10.38/2.67 % (3778380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.38/2.67 % (3778380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.38/2.67 % (3778380)CaDiCaL version: 2.1.3
% 10.38/2.67 % (3778380)Termination reason: Instruction limit
% 10.38/2.67 % (3778380)Termination phase: Preprocessing 3
% 10.38/2.67 % (3778380)Time elapsed: 0.065 s
% 10.38/2.67 % (3778380)Peak memory usage: 92 MB
% 10.38/2.67 % (3778380)Instructions burned: 129 (million)
% 10.38/2.67 % (3778388)lrs+10_1_sil=8000:sp=occurrence:random_seed=4035348050:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 10.38/2.67 % (3778389)lrs+10_1_sil=32000:urr=on:br=off:random_seed=970302488:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 10.38/2.67 % (3778390)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3130004303:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 10.38/2.67 % (3778390)Refutation not found, incomplete strategy
% 10.38/2.67 % (3778390)------------------------------
% 10.38/2.67 % (3778390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.38/2.67 % (3778390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/3.31 % (3778390)CaDiCaL version: 2.1.3
% 8.38/3.31 % (3778390)Termination reason: Refutation not found, incomplete strategy
% 8.38/3.31 % (3778390)Time elapsed: 0.017 s
% 8.38/3.31 % (3778390)Peak memory usage: 92 MB
% 8.38/3.31 % (3778390)Instructions burned: 37 (million)
% 8.38/3.31 % (3778389)Instruction limit reached!
% 8.38/3.31 % (3778389)------------------------------
% 8.38/3.31 % (3778389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/3.31 % (3778389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/3.31 % (3778389)CaDiCaL version: 2.1.3
% 8.38/3.31 % (3778389)Termination reason: Instruction limit
% 8.38/3.31 % (3778389)Termination phase: Saturation
% 8.38/3.31 % (3778389)Time elapsed: 0.062 s
% 8.38/3.31 % (3778389)Peak memory usage: 92 MB
% 8.38/3.31 % (3778389)Instructions burned: 158 (million)
% 8.38/3.31 % (3778377)------------------------------
% 8.38/3.31 % (3778377)------------------------------
% 8.38/3.31 % (3778388)Instruction limit reached!
% 8.38/3.31 % (3778388)------------------------------
% 8.38/3.31 % (3778388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/3.31 % (3778388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/3.31 % (3778388)CaDiCaL version: 2.1.3
% 8.38/3.31 % (3778388)Termination reason: Instruction limit
% 8.38/3.31 % (3778388)Termination phase: Saturation
% 8.38/3.31 % (3778388)Time elapsed: 0.168 s
% 8.38/3.31 % (3778388)Peak memory usage: 96 MB
% 8.38/3.31 % (3778388)Instructions burned: 285 (million)
% 8.38/3.31 % (3778394)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=3433369517:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 8.38/3.31 % (3778396)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1029708006:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 8.38/3.31 % (3778395)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2190686122:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 8.38/3.31 % (3778395)Refutation not found, incomplete strategy
% 8.38/3.31 % (3778395)------------------------------
% 8.38/3.31 % (3778395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/3.31 % (3778395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/3.31 % (3778395)CaDiCaL version: 2.1.3
% 8.38/3.31 % (3778395)Termination reason: Refutation not found, incomplete strategy
% 8.38/3.31 % (3778395)Time elapsed: 0.029 s
% 8.38/3.31 % (3778395)Peak memory usage: 93 MB
% 8.38/3.31 % (3778395)Instructions burned: 67 (million)
% 8.38/3.31 % (3778390)------------------------------
% 8.38/3.31 % (3778390)------------------------------
% 8.38/3.31 % (3778394)Instruction limit reached!
% 8.38/3.31 % (3778394)------------------------------
% 8.38/3.31 % (3778394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/3.31 % (3778394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/3.31 % (3778394)CaDiCaL version: 2.1.3
% 8.38/3.31 % (3778394)Termination reason: Instruction limit
% 8.38/3.31 % (3778394)Termination phase: Preprocessing 3
% 8.38/3.31 % (3778394)Time elapsed: 0.119 s
% 8.38/3.31 % (3778394)Peak memory usage: 95 MB
% 8.38/3.31 % (3778394)Instructions burned: 249 (million)
% 8.38/3.31 % (3778400)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2067606046:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 8.38/3.31 % (3778401)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3118556801:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 8.38/3.31 % (3778400)Instruction limit reached!
% 8.38/3.31 % (3778400)------------------------------
% 8.38/3.31 % (3778400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/3.31 % (3778400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/3.31 % (3778400)CaDiCaL version: 2.1.3
% 8.38/3.31 % (3778400)Termination reason: Instruction limit
% 8.38/3.31 % (3778400)Termination phase: Preprocessing 3
% 8.38/3.31 % (3778400)Time elapsed: 0.057 s
% 8.38/3.31 % (3778400)Peak memory usage: 91 MB
% 8.38/3.31 % (3778400)Instructions burned: 114 (million)
% 8.38/3.31 % (3778395)------------------------------
% 8.38/3.31 % (3778395)------------------------------
% 8.38/3.31 % (3778401)Instruction limit reached!
% 8.38/3.31 % (3778401)------------------------------
% 8.38/3.31 % (3778401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/3.31 % (3778401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/3.31 % (3778401)CaDiCaL version: 2.1.3
% 8.38/3.31 % (3778401)Termination reason: Instruction limit
% 8.38/3.31 % (3778401)Termination phase: Preprocessing 3
% 8.38/3.31 % (3778401)Time elapsed: 0.072 s
% 8.38/3.31 % (3778401)Peak memory usage: 94 MB
% 8.38/3.31 % (3778401)Instructions burned: 128 (million)
% 8.38/3.31 % (3778404)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=401289961:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 8.38/3.31 % (3778405)lrs+10_1_sil=8000:sp=occurrence:random_seed=4026380273:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 8.38/3.31 % (3778406)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3042086472:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 8.38/3.31 % (3778404)Instruction limit reached!
% 8.38/3.31 % (3778404)------------------------------
% 8.38/3.31 % (3778404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/3.31 % (3778404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/3.31 % (3778404)CaDiCaL version: 2.1.3
% 8.38/3.31 % (3778404)Termination reason: Instruction limit
% 8.38/3.31 % (3778404)Termination phase: Property scanning
% 8.38/3.31 % (3778404)Time elapsed: 0.041 s
% 8.38/3.31 % (3778404)Peak memory usage: 88 MB
% 8.38/3.31 % (3778404)Instructions burned: 117 (million)
% 8.38/3.31 % (3778410)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=815382618:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 8.38/3.31 % (3778406)Instruction limit reached!
% 8.38/3.31 % (3778406)------------------------------
% 8.38/3.31 % (3778406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/3.31 % (3778406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/3.31 % (3778406)CaDiCaL version: 2.1.3
% 8.38/3.31 % (3778406)Termination reason: Instruction limit
% 8.38/3.31 % (3778406)Termination phase: Saturation
% 8.38/3.31 % (3778406)Time elapsed: 0.192 s
% 8.38/3.31 % (3778406)Peak memory usage: 98 MB
% 8.38/3.31 % (3778406)Instructions burned: 439 (million)
% 8.38/3.31 % (3778412)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2542930252:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 8.38/3.31 % (3778412)Instruction limit reached!
% 8.38/3.31 % (3778412)------------------------------
% 8.38/3.31 % (3778412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/3.31 % (3778412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/3.31 % (3778412)CaDiCaL version: 2.1.3
% 8.38/3.31 % (3778412)Termination reason: Instruction limit
% 8.38/3.31 % (3778412)Termination phase: NewCNF
% 8.38/3.31 % (3778412)Time elapsed: 0.074 s
% 8.38/3.31 % (3778412)Peak memory usage: 93 MB
% 8.38/3.31 % (3778412)Instructions burned: 134 (million)
% 8.38/3.31 % (3778396)Instruction limit reached!
% 8.38/3.31 % (3778396)------------------------------
% 8.38/3.31 % (3778396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/3.31 % (3778396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/3.31 % (3778396)CaDiCaL version: 2.1.3
% 8.38/3.31 % (3778396)Termination reason: Instruction limit
% 8.38/3.31 % (3778396)Termination phase: Saturation
% 8.38/3.31 % (3778396)Time elapsed: 0.840 s
% 8.38/3.31 % (3778396)Peak memory usage: 230 MB
% 8.38/3.31 % (3778396)Instructions burned: 2352 (million)
% 8.38/3.31 % (3778405)Instruction limit reached!
% 8.38/3.31 % (3778405)------------------------------
% 8.38/3.31 % (3778405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.38/3.31 % (3778405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/3.31 % (3778405)CaDiCaL version: 2.1.3
% 8.38/3.31 % (3778405)Termination reason: Instruction limit
% 8.38/3.31 % (3778405)Termination phase: Saturation
% 8.38/3.31 % (3778405)Time elapsed: 0.534 s
% 8.38/3.31 % (3778405)Peak memory usage: 102 MB
% 8.38/3.31 % (3778405)Instructions burned: 907 (million)
% 8.38/3.31 % (3778414)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2500038223:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 8.38/3.31 % (3778415)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1028358191:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 16.09/3.50 % (3778414)Refutation not found, incomplete strategy
% 16.09/3.50 % (3778414)------------------------------
% 16.09/3.50 % (3778414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.09/3.50 % (3778414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/3.50 % (3778414)CaDiCaL version: 2.1.3
% 16.09/3.50 % (3778414)Termination reason: Refutation not found, incomplete strategy
% 16.09/3.50 % (3778414)Time elapsed: 0.055 s
% 16.09/3.50 % (3778414)Peak memory usage: 94 MB
% 16.09/3.50 % (3778414)Instructions burned: 114 (million)
% 16.09/3.50 % (3778416)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=2272458792:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 16.09/3.50 % (3778416)Instruction limit reached!
% 16.09/3.50 % (3778416)------------------------------
% 16.09/3.50 % (3778416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.09/3.50 % (3778416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/3.50 % (3778416)CaDiCaL version: 2.1.3
% 16.09/3.50 % (3778416)Termination reason: Instruction limit
% 16.09/3.50 % (3778416)Termination phase: SInE selection
% 16.09/3.50 % (3778416)Time elapsed: 0.048 s
% 16.09/3.50 % (3778416)Peak memory usage: 89 MB
% 16.09/3.50 % (3778416)Instructions burned: 126 (million)
% 16.09/3.50 % (3778414)------------------------------
% 16.09/3.50 % (3778414)------------------------------
% 16.09/3.50 % (3778420)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1710720064:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 16.09/3.50 % (3778420)Instruction limit reached!
% 16.09/3.50 % (3778420)------------------------------
% 16.09/3.50 % (3778420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.09/3.50 % (3778420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/3.50 % (3778420)CaDiCaL version: 2.1.3
% 16.09/3.50 % (3778420)Termination reason: Instruction limit
% 16.09/3.50 % (3778420)Termination phase: Property scanning
% 16.09/3.50 % (3778420)Time elapsed: 0.049 s
% 16.09/3.50 % (3778420)Peak memory usage: 88 MB
% 16.09/3.50 % (3778420)Instructions burned: 135 (million)
% 16.09/3.50 % (3778410)First to succeed.
% 16.09/3.50 % (3778410)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3778369"
% 16.09/3.50 % (3778421)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3020368869:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 16.09/3.50 % (3778421)Refutation not found, incomplete strategy
% 16.09/3.50 % (3778421)------------------------------
% 16.09/3.50 % (3778421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.09/3.50 % (3778421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/3.50 % (3778421)CaDiCaL version: 2.1.3
% 16.09/3.50 % (3778421)Termination reason: Refutation not found, incomplete strategy
% 16.09/3.50 % (3778421)Time elapsed: 0.018 s
% 16.09/3.50 % (3778421)Peak memory usage: 92 MB
% 16.09/3.50 % (3778421)Instructions burned: 39 (million)
% 16.09/3.50 % (3778423)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3379732877:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 16.09/3.50 % (3778423)Refutation not found, incomplete strategy
% 16.09/3.50 % (3778423)------------------------------
% 16.09/3.50 % (3778423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.09/3.50 % (3778423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/3.50 % (3778423)CaDiCaL version: 2.1.3
% 16.09/3.50 % (3778423)Termination reason: Refutation not found, incomplete strategy
% 16.09/3.50 % (3778423)Time elapsed: 0.018 s
% 16.09/3.50 % (3778423)Peak memory usage: 92 MB
% 16.09/3.50 % (3778423)Instructions burned: 36 (million)
% 16.09/3.50 % (3778410)Refutation found. Thanks to Tanya!
% 16.09/3.50 % SZS status Theorem for theBenchmark
% 16.09/3.50 % SZS output start Proof for theBenchmark
% See solution above
% 16.09/3.50 % (3778410)------------------------------
% 16.09/3.50 % (3778410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.09/3.50 % (3778410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.09/3.50 % (3778410)CaDiCaL version: 2.1.3
% 16.09/3.50 % (3778410)Termination reason: Refutation
% 16.09/3.50 % (3778410)Time elapsed: 0.790 s
% 16.09/3.50 % (3778410)Peak memory usage: 136 MB
% 16.09/3.50 % (3778410)Instructions burned: 1223 (million)
% 16.09/3.50 % (3778410)------------------------------
% 16.09/3.50 % (3778410)------------------------------
% 16.09/3.50 % (3778369)Success in time 2.441 s
% 16.09/3.50 % Vampire exiting
%------------------------------------------------------------------------------