%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP006+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 11:27:51 AM UTC 2026
% Result : Theorem 16.91s 3.70s
% Output : Refutation 18.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 51 ( 15 unt; 2 def)
% Number of atoms : 190 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 221 ( 82 ~; 83 |; 27 &)
% ( 4 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 89 ( 0 sgn 77 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,X0)
=> mem(ap(X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_tp) ).
fof(f4234,axiom,
! [X0] :
( ne(X0)
=> ! [X1] :
( ne(X1)
=> ! [X2] :
( mem(X2,arr(X0,X1))
=> ! [X3] :
( mem(X3,arr(X1,bool))
=> ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),X2),X3))
<=> ! [X4] :
( mem(X4,X0)
=> ~ p(ap(X3,ap(X2,X4))) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_thm_2EquantHeuristics_2EGUESS__FORALL__POINT__def) ).
fof(f4453,conjecture,
! [X0] :
( ne(X0)
=> ! [X1] :
( ne(X1)
=> ! [X2] :
( mem(X2,arr(X1,X0))
=> ! [X3] :
( mem(X3,arr(X0,bool))
=> ! [X4] :
( mem(X4,arr(X0,bool))
=> ( ! [X5] :
( mem(X5,X0)
=> ( p(ap(X4,X5))
=> p(ap(X3,X5)) ) )
=> ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X1,X0),X2),X3))
=> p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X1,X0),X2),X4)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT) ).
fof(f4454,negated_conjecture,
~ ! [X0] :
( ne(X0)
=> ! [X1] :
( ne(X1)
=> ! [X2] :
( mem(X2,arr(X1,X0))
=> ! [X3] :
( mem(X3,arr(X0,bool))
=> ! [X4] :
( mem(X4,arr(X0,bool))
=> ( ! [X5] :
( mem(X5,X0)
=> ( p(ap(X4,X5))
=> p(ap(X3,X5)) ) )
=> ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X1,X0),X2),X3))
=> p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X1,X0),X2),X4)) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f4453]) ).
fof(f4544,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),X2),X3))
<=> ! [X4] :
( ~ p(ap(X3,ap(X2,X4)))
| ~ mem(X4,X0) ) )
| ~ mem(X3,arr(X1,bool)) )
| ~ mem(X2,arr(X0,X1)) )
| ~ ne(X1) )
| ~ ne(X0) ),
inference(ennf_transformation,[],[f4234]) ).
fof(f4787,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X1,X0),X2),X4))
& p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X1,X0),X2),X3))
& ! [X5] :
( p(ap(X3,X5))
| ~ p(ap(X4,X5))
| ~ mem(X5,X0) )
& mem(X4,arr(X0,bool)) )
& mem(X3,arr(X0,bool)) )
& mem(X2,arr(X1,X0)) )
& ne(X1) )
& ne(X0) ),
inference(ennf_transformation,[],[f4454]) ).
fof(f4788,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X1,X0),X2),X4))
& p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X1,X0),X2),X3))
& ! [X5] :
( p(ap(X3,X5))
| ~ p(ap(X4,X5))
| ~ mem(X5,X0) )
& mem(X4,arr(X0,bool)) )
& mem(X3,arr(X0,bool)) )
& mem(X2,arr(X1,X0)) )
& ne(X1) )
& ne(X0) ),
inference(flattening,[],[f4787]) ).
fof(f4805,plain,
! [X0,X1,X2] :
( ! [X3] :
( mem(ap(X2,X3),X1)
| ~ mem(X3,X0) )
| ~ mem(X2,arr(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f5979,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),X2),X3))
| ? [X4] :
( p(ap(X3,ap(X2,X4)))
& mem(X4,X0) ) )
& ( ! [X4] :
( ~ p(ap(X3,ap(X2,X4)))
| ~ mem(X4,X0) )
| ~ p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),X2),X3)) ) )
| ~ mem(X3,arr(X1,bool)) )
| ~ mem(X2,arr(X0,X1)) )
| ~ ne(X1) )
| ~ ne(X0) ),
inference(nnf_transformation,[],[f4544]) ).
fof(f5980,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),X2),X3))
| ? [X4] :
( p(ap(X3,ap(X2,X4)))
& mem(X4,X0) ) )
& ( ! [X5] :
( ~ p(ap(X3,ap(X2,X5)))
| ~ mem(X5,X0) )
| ~ p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),X2),X3)) ) )
| ~ mem(X3,arr(X1,bool)) )
| ~ mem(X2,arr(X0,X1)) )
| ~ ne(X1) )
| ~ ne(X0) ),
inference(rectify,[],[f5979]) ).
fof(f5981,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),X2),X3))
| ( p(ap(X3,ap(X2,sK55(X0,X2,X3))))
& mem(sK55(X0,X2,X3),X0) ) )
& ( ! [X5] :
( ~ p(ap(X3,ap(X2,X5)))
| ~ mem(X5,X0) )
| ~ p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),X2),X3)) ) )
| ~ mem(X3,arr(X1,bool)) )
| ~ mem(X2,arr(X0,X1)) )
| ~ ne(X1) )
| ~ ne(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(X4,sK55(X0,X2,X3))],[f5980]) ).
fof(f6035,plain,
( ~ p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sK113,sK112),sK114),sK116))
& p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sK113,sK112),sK114),sK115))
& ! [X5] :
( p(ap(sK115,X5))
| ~ p(ap(sK116,X5))
| ~ mem(X5,sK112) )
& mem(sK116,arr(sK112,bool))
& mem(sK115,arr(sK112,bool))
& mem(sK114,arr(sK113,sK112))
& ne(sK113)
& ne(sK112) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK112,sK113,sK114,sK115,sK116]),skolemize(X0,sK112),skolemize(X1,sK113),skolemize(X2,sK114),skolemize(X3,sK115),skolemize(X4,sK116)],[f4788]) ).
fof(f7050,plain,
! [X2,X3,X0,X1,X5] :
( ~ p(ap(X3,ap(X2,X5)))
| ~ mem(X5,X0)
| ~ p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),X2),X3))
| ~ mem(X3,arr(X1,bool))
| ~ mem(X2,arr(X0,X1))
| ~ ne(X1)
| ~ ne(X0) ),
inference(cnf_transformation,[],[f5981]) ).
fof(f7051,plain,
! [X2,X3,X0,X1] :
( ~ ne(X0)
| mem(sK55(X0,X2,X3),X0)
| ~ mem(X3,arr(X1,bool))
| ~ mem(X2,arr(X0,X1))
| ~ ne(X1)
| p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),X2),X3)) ),
inference(cnf_transformation,[],[f5981]) ).
fof(f7052,plain,
! [X2,X3,X0,X1] :
( ~ ne(X0)
| p(ap(X3,ap(X2,sK55(X0,X2,X3))))
| ~ mem(X3,arr(X1,bool))
| ~ mem(X2,arr(X0,X1))
| ~ ne(X1)
| p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(X0,X1),X2),X3)) ),
inference(cnf_transformation,[],[f5981]) ).
fof(f7475,plain,
ne(sK112),
inference(cnf_transformation,[],[f6035]) ).
fof(f7476,plain,
ne(sK113),
inference(cnf_transformation,[],[f6035]) ).
fof(f7477,plain,
mem(sK114,arr(sK113,sK112)),
inference(cnf_transformation,[],[f6035]) ).
fof(f7478,plain,
mem(sK115,arr(sK112,bool)),
inference(cnf_transformation,[],[f6035]) ).
fof(f7479,plain,
mem(sK116,arr(sK112,bool)),
inference(cnf_transformation,[],[f6035]) ).
fof(f7480,plain,
! [X5] :
( ~ p(ap(sK116,X5))
| p(ap(sK115,X5))
| ~ mem(X5,sK112) ),
inference(cnf_transformation,[],[f6035]) ).
fof(f7481,plain,
p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sK113,sK112),sK114),sK115)),
inference(cnf_transformation,[],[f6035]) ).
fof(f7482,plain,
~ p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sK113,sK112),sK114),sK116)),
inference(cnf_transformation,[],[f6035]) ).
fof(f7521,plain,
! [X2,X3,X0,X1] :
( ~ mem(X2,arr(X0,X1))
| ~ mem(X3,X0)
| mem(ap(X2,X3),X1) ),
inference(cnf_transformation,[],[f4805]) ).
fof(f11246,plain,
! [X2,X0,X1] :
( ~ mem(X1,arr(sK113,X2))
| ~ mem(X0,arr(X2,bool))
| p(ap(X0,ap(X1,sK55(sK113,X1,X0))))
| ~ ne(X2)
| p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sK113,X2),X1),X0)) ),
inference(resolution,[],[f7052,f7476]) ).
fof(f11250,plain,
! [X0] :
( mem(ap(sK114,X0),sK112)
| ~ mem(X0,sK113) ),
inference(resolution,[],[f7521,f7477]) ).
fof(f11253,plain,
! [X2,X0,X1] :
( ~ mem(X0,arr(sK113,X2))
| ~ mem(X1,arr(X2,bool))
| mem(sK55(sK113,X0,X1),sK113)
| ~ ne(X2)
| p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sK113,X2),X0),X1)) ),
inference(resolution,[],[f7051,f7476]) ).
fof(f11372,plain,
! [X0] :
( ~ mem(X0,arr(sK112,bool))
| p(ap(X0,ap(sK114,sK55(sK113,sK114,X0))))
| ~ ne(sK112)
| p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sK113,sK112),sK114),X0)) ),
inference(resolution,[],[f11246,f7477]) ).
fof(f11376,plain,
! [X0] :
( ~ mem(X0,arr(sK112,bool))
| p(ap(X0,ap(sK114,sK55(sK113,sK114,X0))))
| p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sK113,sK112),sK114),X0)) ),
inference(forward_subsumption_resolution,[],[f11372,f7475]) ).
fof(f11377,plain,
( p(ap(sK116,ap(sK114,sK55(sK113,sK114,sK116))))
| p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sK113,sK112),sK114),sK116)) ),
inference(resolution,[],[f11376,f7479]) ).
fof(f11379,plain,
p(ap(sK116,ap(sK114,sK55(sK113,sK114,sK116)))),
inference(forward_subsumption_resolution,[],[f11377,f7482]) ).
fof(f11431,plain,
( p(ap(sK115,ap(sK114,sK55(sK113,sK114,sK116))))
| ~ mem(ap(sK114,sK55(sK113,sK114,sK116)),sK112) ),
inference(resolution,[],[f11379,f7480]) ).
fof(f11435,definition,
( spl510_127
<=> mem(ap(sK114,sK55(sK113,sK114,sK116)),sK112) ),
introduced(definition,[new_symbols(definition,[spl510_127])],[avatar_definition]) ).
fof(f11436,plain,
( ~ mem(ap(sK114,sK55(sK113,sK114,sK116)),sK112)
| spl510_127 ),
inference(avatar_component_clause,[],[f11435]) ).
fof(f11438,definition,
( spl510_128
<=> p(ap(sK115,ap(sK114,sK55(sK113,sK114,sK116)))) ),
introduced(definition,[new_symbols(definition,[spl510_128])],[avatar_definition]) ).
fof(f11439,plain,
( p(ap(sK115,ap(sK114,sK55(sK113,sK114,sK116))))
| ~ spl510_128 ),
inference(avatar_component_clause,[],[f11438]) ).
fof(f11440,plain,
( ~ spl510_127
| spl510_128 ),
inference(avatar_split_clause,[],[f11431,f11438,f11435]) ).
fof(f11441,plain,
( ~ mem(sK55(sK113,sK114,sK116),sK113)
| spl510_127 ),
inference(resolution,[],[f11436,f11250]) ).
fof(f11456,plain,
( $false
| spl510_127 ),
inference(unit_resulting_resolution,[],[f7051,f7476,f7475,f7477,f7479,f7482,f11441]) ).
fof(f11457,plain,
spl510_127,
inference(avatar_contradiction_clause,[],[f11456]) ).
fof(f11534,plain,
! [X0] :
( ~ mem(X0,arr(sK112,bool))
| mem(sK55(sK113,sK114,X0),sK113)
| ~ ne(sK112)
| p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sK113,sK112),sK114),X0)) ),
inference(resolution,[],[f11253,f7477]) ).
fof(f11537,plain,
! [X0] :
( ~ mem(X0,arr(sK112,bool))
| mem(sK55(sK113,sK114,X0),sK113)
| p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sK113,sK112),sK114),X0)) ),
inference(forward_subsumption_resolution,[],[f11534,f7475]) ).
fof(f11554,plain,
( mem(sK55(sK113,sK114,sK116),sK113)
| p(ap(ap(c_2EquantHeuristics_2EGUESS__FORALL__POINT(sK113,sK112),sK114),sK116)) ),
inference(resolution,[],[f11537,f7479]) ).
fof(f11556,plain,
mem(sK55(sK113,sK114,sK116),sK113),
inference(forward_subsumption_resolution,[],[f11554,f7482]) ).
fof(f11560,plain,
( $false
| ~ spl510_128 ),
inference(unit_resulting_resolution,[],[f7050,f7476,f7475,f7477,f7478,f7481,f11439,f11556]) ).
fof(f11565,plain,
~ spl510_128,
inference(avatar_contradiction_clause,[],[f11560]) ).
cnf(s163,plain,
( ~ spl510_127
| spl510_128 ),
inference(sat_conversion,[],[f11440]) ).
cnf(s165,plain,
spl510_127,
inference(sat_conversion,[],[f11457]) ).
cnf(s175,plain,
~ spl510_128,
inference(sat_conversion,[],[f11565]) ).
cnf(s177,plain,
$false,
inference(rat,[],[s163,s175,s165]) ).
fof(f11567,plain,
$false,
inference(avatar_sat_refutation,[],[s177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP006+5 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n013.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 11:52:07 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 11.62/3.04 % (92798)Detected formulas, will run a generic FOF schedule.
% 11.62/3.04 % (92803)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=1066137101:i=141193_2996 on theBenchmark for (2996ds/141193Mi)
% 11.62/3.04 % (92808)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1702104447:s2a=on:i=139:gtg=position_2996 on theBenchmark for (2996ds/139Mi)
% 11.62/3.04 % (92806)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2235446073:i=109:sd=1:ins=1:gsp=on:ss=axioms_2996 on theBenchmark for (2996ds/109Mi)
% 11.62/3.04 % (92805)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=391835729:i=141695:sd=1:nm=32:gsp=on:ss=included_2996 on theBenchmark for (2996ds/141695Mi)
% 11.62/3.04 % (92809)dis-21_1_sil=8000:lcm=predicate:random_seed=3845795724:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2996 on theBenchmark for (2996ds/129Mi)
% 11.62/3.04 % (92807)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3455820952:i=119:av=off:ss=axioms_2996 on theBenchmark for (2996ds/119Mi)
% 11.62/3.04 % (92804)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=4153853610:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2996 on theBenchmark for (2996ds/134677Mi)
% 11.62/3.04 % (92808)Instruction limit reached!
% 11.62/3.04 % (92808)------------------------------
% 11.62/3.04 % (92808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.04 % (92808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.04 % (92808)CaDiCaL version: 2.1.3
% 11.62/3.04 % (92808)Termination reason: Instruction limit
% 11.62/3.04 % (92808)Termination phase: SInE selection
% 11.62/3.04 % (92808)Time elapsed: 0.060 s
% 11.62/3.04 % (92808)Peak memory usage: 92 MB
% 11.62/3.04 % (92808)Instructions burned: 140 (million)
% 11.62/3.04 % (92806)Instruction limit reached!
% 11.62/3.04 % (92806)------------------------------
% 11.62/3.04 % (92806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.04 % (92806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.04 % (92806)CaDiCaL version: 2.1.3
% 11.62/3.04 % (92806)Termination reason: Instruction limit
% 11.62/3.04 % (92806)Termination phase: Blocked clause elimination
% 11.62/3.04 % (92806)Time elapsed: 0.062 s
% 11.62/3.04 % (92806)Peak memory usage: 95 MB
% 11.62/3.04 % (92806)Instructions burned: 110 (million)
% 11.62/3.04 % (92807)Instruction limit reached!
% 11.62/3.04 % (92807)------------------------------
% 11.62/3.04 % (92807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.04 % (92807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.04 % (92807)CaDiCaL version: 2.1.3
% 11.62/3.04 % (92807)Termination reason: Instruction limit
% 11.62/3.04 % (92807)Termination phase: Saturation
% 11.62/3.04 % (92807)Time elapsed: 0.067 s
% 11.62/3.04 % (92807)Peak memory usage: 96 MB
% 11.62/3.04 % (92807)Instructions burned: 119 (million)
% 11.62/3.04 % (92809)Instruction limit reached!
% 11.62/3.04 % (92809)------------------------------
% 11.62/3.04 % (92809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.62/3.04 % (92809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.62/3.04 % (92809)CaDiCaL version: 2.1.3
% 11.62/3.04 % (92809)Termination reason: Instruction limit
% 11.62/3.04 % (92809)Termination phase: Preprocessing 3
% 11.62/3.04 % (92809)Time elapsed: 0.088 s
% 11.62/3.04 % (92809)Peak memory usage: 96 MB
% 11.62/3.04 % (92809)Instructions burned: 130 (million)
% 11.62/3.04 % (92818)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3347227751:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 11.62/3.04 % (92817)lrs+10_1_sil=8000:sp=occurrence:random_seed=2143271509:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 11.62/3.04 % (92819)lrs+1011_1_sil=32000:sp=occurrence:random_seed=649526303:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 11.62/3.04 % (92820)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=3712818941:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 11.62/3.04 % (92818)Instruction limit reached!
% 11.62/3.04 % (92818)------------------------------
% 11.62/3.04 % (92818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.70 % (92818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.70 % (92818)CaDiCaL version: 2.1.3
% 16.91/3.70 % (92818)Termination reason: Instruction limit
% 16.91/3.70 % (92818)Termination phase: Property scanning
% 16.91/3.70 % (92818)Time elapsed: 0.077 s
% 16.91/3.70 % (92818)Peak memory usage: 94 MB
% 16.91/3.70 % (92818)Instructions burned: 159 (million)
% 16.91/3.70 % (92817)Instruction limit reached!
% 16.91/3.70 % (92817)------------------------------
% 16.91/3.70 % (92817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.70 % (92817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.70 % (92817)CaDiCaL version: 2.1.3
% 16.91/3.70 % (92817)Termination reason: Instruction limit
% 16.91/3.70 % (92817)Termination phase: Saturation
% 16.91/3.70 % (92817)Time elapsed: 0.168 s
% 16.91/3.70 % (92817)Peak memory usage: 100 MB
% 16.91/3.70 % (92817)Instructions burned: 285 (million)
% 16.91/3.70 % (92820)Instruction limit reached!
% 16.91/3.70 % (92820)------------------------------
% 16.91/3.70 % (92820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.70 % (92820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.70 % (92820)CaDiCaL version: 2.1.3
% 16.91/3.70 % (92820)Termination reason: Instruction limit
% 16.91/3.70 % (92820)Termination phase: Naming
% 16.91/3.70 % (92820)Time elapsed: 0.137 s
% 16.91/3.70 % (92820)Peak memory usage: 97 MB
% 16.91/3.70 % (92820)Instructions burned: 248 (million)
% 16.91/3.70 % (92819)Instruction limit reached!
% 16.91/3.70 % (92819)------------------------------
% 16.91/3.70 % (92819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.70 % (92819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.70 % (92819)CaDiCaL version: 2.1.3
% 16.91/3.70 % (92819)Termination reason: Instruction limit
% 16.91/3.70 % (92819)Termination phase: Saturation
% 16.91/3.70 % (92819)Time elapsed: 0.199 s
% 16.91/3.70 % (92819)Peak memory usage: 100 MB
% 16.91/3.70 % (92819)Instructions burned: 325 (million)
% 16.91/3.70 % (92825)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2257715304:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 16.91/3.70 % (92826)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2357859983:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 16.91/3.70 % (92827)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2497336063:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 16.91/3.70 % (92828)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1753444463:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 16.91/3.70 % (92825)Instruction limit reached!
% 16.91/3.70 % (92825)------------------------------
% 16.91/3.70 % (92825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.70 % (92825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.70 % (92825)CaDiCaL version: 2.1.3
% 16.91/3.70 % (92825)Termination reason: Instruction limit
% 16.91/3.70 % (92825)Termination phase: Saturation
% 16.91/3.70 % (92825)Time elapsed: 0.163 s
% 16.91/3.70 % (92825)Peak memory usage: 98 MB
% 16.91/3.70 % (92825)Instructions burned: 295 (million)
% 16.91/3.70 % (92827)Instruction limit reached!
% 16.91/3.70 % (92827)------------------------------
% 16.91/3.70 % (92827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.70 % (92827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.70 % (92827)CaDiCaL version: 2.1.3
% 16.91/3.70 % (92827)Termination reason: Instruction limit
% 16.91/3.70 % (92827)Termination phase: Property scanning
% 16.91/3.70 % (92827)Time elapsed: 0.078 s
% 16.91/3.70 % (92827)Peak memory usage: 96 MB
% 16.91/3.70 % (92827)Instructions burned: 114 (million)
% 16.91/3.70 % (92828)Instruction limit reached!
% 16.91/3.70 % (92828)------------------------------
% 16.91/3.70 % (92828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.70 % (92828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.70 % (92828)CaDiCaL version: 2.1.3
% 16.91/3.70 % (92828)Termination reason: Instruction limit
% 16.91/3.70 % (92828)Termination phase: Preprocessing 3
% 16.91/3.70 % (92828)Time elapsed: 0.091 s
% 16.91/3.70 % (92828)Peak memory usage: 99 MB
% 16.91/3.70 % (92828)Instructions burned: 128 (million)
% 16.91/3.70 % (92833)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2349210835:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 16.91/3.70 % (92834)lrs+10_1_sil=8000:sp=occurrence:random_seed=448796299:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 16.91/3.70 % (92833)Instruction limit reached!
% 16.91/3.70 % (92833)------------------------------
% 16.91/3.70 % (92833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.70 % (92833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.70 % (92833)CaDiCaL version: 2.1.3
% 16.91/3.70 % (92833)Termination reason: Instruction limit
% 16.91/3.70 % (92833)Termination phase: Initialization
% 16.91/3.70 % (92833)Time elapsed: 0.046 s
% 16.91/3.70 % (92833)Peak memory usage: 92 MB
% 16.91/3.70 % (92833)Instructions burned: 114 (million)
% 16.91/3.70 % (92835)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3570357189:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 16.91/3.70 % (92838)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3783563021:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 16.91/3.70 % (92835)Instruction limit reached!
% 16.91/3.70 % (92835)------------------------------
% 16.91/3.70 % (92835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.70 % (92835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.70 % (92835)CaDiCaL version: 2.1.3
% 16.91/3.70 % (92835)Termination reason: Instruction limit
% 16.91/3.70 % (92835)Termination phase: Saturation
% 16.91/3.70 % (92835)Time elapsed: 0.231 s
% 16.91/3.70 % (92835)Peak memory usage: 101 MB
% 16.91/3.70 % (92835)Instructions burned: 438 (million)
% 16.91/3.70 % (92841)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=756640335:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 16.91/3.70 % (92841)Instruction limit reached!
% 16.91/3.70 % (92841)------------------------------
% 16.91/3.70 % (92841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.70 % (92841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.70 % (92841)CaDiCaL version: 2.1.3
% 16.91/3.70 % (92841)Termination reason: Instruction limit
% 16.91/3.70 % (92841)Termination phase: Property scanning
% 16.91/3.70 % (92841)Time elapsed: 0.083 s
% 16.91/3.70 % (92841)Peak memory usage: 96 MB
% 16.91/3.70 % (92841)Instructions burned: 136 (million)
% 16.91/3.70 % (92834)Instruction limit reached!
% 16.91/3.70 % (92834)------------------------------
% 16.91/3.70 % (92834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.70 % (92834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.70 % (92834)CaDiCaL version: 2.1.3
% 16.91/3.70 % (92834)Termination reason: Instruction limit
% 16.91/3.70 % (92834)Termination phase: Saturation
% 16.91/3.70 % (92834)Time elapsed: 0.532 s
% 16.91/3.70 % (92834)Peak memory usage: 109 MB
% 16.91/3.70 % (92834)Instructions burned: 908 (million)
% 16.91/3.70 % (92826)Instruction limit reached!
% 16.91/3.70 % (92826)------------------------------
% 16.91/3.70 % (92826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.70 % (92826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.70 % (92826)CaDiCaL version: 2.1.3
% 16.91/3.70 % (92826)Termination reason: Instruction limit
% 16.91/3.70 % (92826)Termination phase: Saturation
% 16.91/3.70 % (92826)Time elapsed: 0.935 s
% 16.91/3.70 % (92826)Peak memory usage: 213 MB
% 16.91/3.70 % (92826)Instructions burned: 2350 (million)
% 16.91/3.70 % (92843)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4156669072:st=8:i=592:sd=3:ep=RST:ss=axioms_2980 on theBenchmark for (2980ds/592Mi)
% 16.91/3.70 % (92844)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2818370803:st=3:i=13193:sd=3:ss=axioms_2980 on theBenchmark for (2980ds/13193Mi)
% 16.91/3.70 % (92845)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=3209101155:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 16.91/3.70 % (92845)Instruction limit reached!
% 16.91/3.70 % (92845)------------------------------
% 16.91/3.70 % (92845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.70 % (92845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.70 % (92845)CaDiCaL version: 2.1.3
% 16.91/3.70 % (92845)Termination reason: Instruction limit
% 16.91/3.70 % (92845)Termination phase: SInE selection
% 16.91/3.70 % (92845)Time elapsed: 0.029 s
% 16.91/3.70 % (92845)Peak memory usage: 92 MB
% 16.91/3.70 % (92845)Instructions burned: 128 (million)
% 16.91/3.70 % (92849)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3026356614:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 16.91/3.70 % (92849)Instruction limit reached!
% 16.91/3.70 % (92849)------------------------------
% 16.91/3.70 % (92849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.70 % (92849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.70 % (92849)CaDiCaL version: 2.1.3
% 16.91/3.70 % (92849)Termination reason: Instruction limit
% 16.91/3.70 % (92849)Termination phase: Initialization
% 16.91/3.70 % (92849)Time elapsed: 0.031 s
% 16.91/3.70 % (92849)Peak memory usage: 92 MB
% 16.91/3.70 % (92849)Instructions burned: 135 (million)
% 16.91/3.70 % (92843)Instruction limit reached!
% 16.91/3.70 % (92843)------------------------------
% 16.91/3.70 % (92843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.70 % (92843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.70 % (92843)CaDiCaL version: 2.1.3
% 16.91/3.70 % (92843)Termination reason: Instruction limit
% 16.91/3.70 % (92843)Termination phase: Saturation
% 16.91/3.70 % (92843)Time elapsed: 0.289 s
% 16.91/3.70 % (92843)Peak memory usage: 104 MB
% 16.91/3.70 % (92843)Instructions burned: 593 (million)
% 16.91/3.70 % (92851)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=211059308:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 16.91/3.70 % (92852)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1648071898:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 16.91/3.70 % (92851)Instruction limit reached!
% 16.91/3.70 % (92851)------------------------------
% 16.91/3.70 % (92851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.70 % (92851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.70 % (92851)CaDiCaL version: 2.1.3
% 16.91/3.70 % (92851)Termination reason: Instruction limit
% 16.91/3.70 % (92851)Termination phase: Saturation
% 16.91/3.70 % (92851)Time elapsed: 0.045 s
% 16.91/3.70 % (92851)Peak memory usage: 99 MB
% 16.91/3.70 % (92851)Instructions burned: 142 (million)
% 16.91/3.70 % (92804)First to succeed.
% 16.91/3.70 % (92804)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-92798"
% 16.91/3.70 % (92838)Also succeeded, but the first one will report.
% 16.91/3.70 % (92855)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=2442589289:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 16.91/3.70 % (92852)Also succeeded, but the first one will report.
% 16.91/3.70 % (92804)Refutation found. Thanks to Tanya!
% 16.91/3.70 % SZS status Theorem for theBenchmark
% 16.91/3.70 % SZS output start Proof for theBenchmark
% See solution above
% 18.29/3.93 % (92804)------------------------------
% 18.29/3.93 % (92804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.29/3.93 % (92804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.29/3.93 % (92804)CaDiCaL version: 2.1.3
% 18.29/3.93 % (92804)Termination reason: Refutation
% 18.29/3.93 % (92804)Time elapsed: 1.979 s
% 18.29/3.93 % (92804)Peak memory usage: 176 MB
% 18.29/3.93 % (92804)Instructions burned: 3515 (million)
% 18.29/3.93 % (92804)------------------------------
% 18.29/3.93 % (92804)------------------------------
% 18.29/3.93 % (92798)Success in time 2.841 s
% 18.29/3.93 % Vampire exiting
%------------------------------------------------------------------------------