%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUN066+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:26:42 PM UTC 2026
% Result : Theorem 12.33s 2.72s
% Output : Refutation 12.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 55 ( 11 unt; 1 def)
% Number of atoms : 147 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 166 ( 74 ~; 75 |; 16 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 0 con; 1-1 aty)
% Number of variables : 92 ( 0 sgn 85 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
? [X1] :
! [X2] :
( ( id(X2,X1)
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& ~ id(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f5,axiom,
! [X0] : id(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f8,axiom,
! [X0,X1] :
( ~ id(X0,X1)
| ( ~ r1(X0)
& ~ r1(X1) )
| ( r1(X0)
& r1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f14,axiom,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ~ id(X3,X2)
| ~ r2(X0,X3) )
| ~ r2(X1,X2) )
| id(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3a) ).
fof(f18,axiom,
! [X0,X1] :
( ! [X2] :
( ~ id(X2,X1)
| ~ r1(X2) )
| ~ r2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7a) ).
fof(f19,conjecture,
? [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ r1(X3)
| ~ r2(X3,X2) )
| ~ r2(X2,X1) )
| ~ id(X0,X1) )
& ! [X4] :
( ~ id(X0,X4)
| ~ r1(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonzerononetwoexistid) ).
fof(f20,negated_conjecture,
~ ? [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ r1(X3)
| ~ r2(X3,X2) )
| ~ r2(X2,X1) )
| ~ id(X0,X1) )
& ! [X4] :
( ~ id(X0,X4)
| ~ r1(X4) ) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( r1(X3)
& r2(X3,X2) )
& r2(X2,X1) )
& id(X0,X1) )
| ? [X4] :
( id(X0,X4)
& r1(X4) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f23,plain,
! [X0,X2] :
( ( id(X2,sK1(X0))
& r2(X0,X2) )
| ( ~ r2(X0,X2)
& ~ id(X2,sK1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f2]) ).
fof(f31,plain,
! [X0] :
( ( r1(sK22(X0))
& r2(sK22(X0),sK21(X0))
& r2(sK21(X0),sK20(X0))
& id(X0,sK20(X0)) )
| ( id(X0,sK23(X0))
& r1(sK23(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23]),skolemize(X1,sK20(X0)),skolemize(X2,sK21(X0)),skolemize(X3,sK22(X0)),skolemize(X4,sK23(X0))],[f21]) ).
fof(f36,plain,
! [X2,X0] :
( ~ id(X2,sK1(X0))
| r2(X0,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f39,plain,
! [X2,X0] :
( id(X2,sK1(X0))
| ~ r2(X0,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f48,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f52,plain,
! [X0,X1] :
( ~ id(X0,X1)
| ~ r1(X1)
| r1(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f53,plain,
! [X0,X1] :
( ~ id(X0,X1)
| ~ r1(X0)
| r1(X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f77,plain,
! [X2,X3,X0,X1] :
( ~ r2(X1,X2)
| ~ r2(X0,X3)
| ~ id(X3,X2)
| id(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f90,plain,
! [X0] :
( id(X0,sK20(X0))
| r1(sK23(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f91,plain,
! [X0] :
( id(X0,sK20(X0))
| id(X0,sK23(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f92,plain,
! [X0] :
( r2(sK21(X0),sK20(X0))
| r1(sK23(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f93,plain,
! [X0] :
( r2(sK21(X0),sK20(X0))
| id(X0,sK23(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f94,plain,
! [X0] :
( r2(sK22(X0),sK21(X0))
| r1(sK23(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f95,plain,
! [X0] :
( r2(sK22(X0),sK21(X0))
| id(X0,sK23(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f96,plain,
! [X0] :
( r1(sK22(X0))
| r1(sK23(X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ id(X1,sK20(X2))
| ~ r2(X0,X1)
| id(X0,sK21(X2))
| id(X2,sK23(X2)) ),
inference(resolution,[],[f77,f93]) ).
fof(f118,plain,
! [X2,X0,X1] :
( ~ id(X2,sK20(X0))
| ~ r2(X1,X2)
| r1(sK23(X0))
| id(X1,sK21(X0)) ),
inference(resolution,[],[f92,f77]) ).
fof(f179,definition,
( spl24_2
<=> ! [X0] : ~ r1(X0) ),
introduced(definition,[new_symbols(definition,[spl24_2])],[avatar_definition]) ).
fof(f180,plain,
( ! [X0] : ~ r1(X0)
| ~ spl24_2 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f182,plain,
( ! [X0] : r1(sK23(X0))
| ~ spl24_2 ),
inference(resolution,[],[f180,f96]) ).
fof(f183,plain,
( $false
| ~ spl24_2 ),
inference(forward_subsumption_resolution,[],[f182,f180]) ).
fof(f184,plain,
~ spl24_2,
inference(avatar_contradiction_clause,[],[f183]) ).
fof(f186,plain,
! [X0] : r2(X0,sK1(X0)),
inference(resolution,[],[f36,f48]) ).
fof(f193,plain,
! [X0,X1] :
( ~ id(X0,sK1(X1))
| ~ r1(X0) ),
inference(resolution,[],[f186,f89]) ).
fof(f194,plain,
! [X0,X1] :
( ~ r2(X1,X0)
| ~ r1(X0) ),
inference(resolution,[],[f193,f39]) ).
fof(f195,plain,
! [X0] : ~ r1(sK1(X0)),
inference(resolution,[],[f193,f48]) ).
fof(f202,plain,
! [X0] :
( ~ r1(sK21(X0))
| r1(sK23(X0)) ),
inference(resolution,[],[f194,f94]) ).
fof(f203,plain,
! [X0] :
( ~ r1(sK21(X0))
| id(X0,sK23(X0)) ),
inference(resolution,[],[f194,f95]) ).
fof(f263,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| r1(sK23(X1))
| id(X0,sK21(X1))
| r1(sK23(X1)) ),
inference(resolution,[],[f118,f90]) ).
fof(f273,plain,
! [X0,X1] :
( id(X0,sK21(X1))
| r1(sK23(X1))
| ~ r2(X0,X1) ),
inference(duplicate_literal_removal,[],[f263]) ).
fof(f276,plain,
! [X0,X1] :
( r1(sK23(X0))
| ~ r2(X1,X0)
| ~ r1(X1)
| r1(sK21(X0)) ),
inference(resolution,[],[f273,f53]) ).
fof(f282,plain,
! [X0,X1] :
( ~ r2(X1,X0)
| r1(sK23(X0))
| ~ r1(X1) ),
inference(forward_subsumption_resolution,[],[f276,f202]) ).
fof(f287,plain,
! [X0] :
( r1(sK23(sK1(X0)))
| ~ r1(X0) ),
inference(resolution,[],[f282,f186]) ).
fof(f291,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| id(X0,sK21(X1))
| id(X1,sK23(X1))
| id(X1,sK23(X1)) ),
inference(resolution,[],[f100,f91]) ).
fof(f301,plain,
! [X0,X1] :
( id(X1,sK23(X1))
| id(X0,sK21(X1))
| ~ r2(X0,X1) ),
inference(duplicate_literal_removal,[],[f291]) ).
fof(f309,plain,
! [X0,X1] :
( id(X1,sK23(X1))
| ~ r2(X0,X1)
| ~ r1(X0)
| r1(sK21(X1)) ),
inference(resolution,[],[f301,f53]) ).
fof(f315,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| id(X1,sK23(X1))
| ~ r1(X0) ),
inference(forward_subsumption_resolution,[],[f309,f203]) ).
fof(f359,plain,
! [X0] :
( id(sK1(X0),sK23(sK1(X0)))
| ~ r1(X0) ),
inference(resolution,[],[f315,f186]) ).
fof(f956,plain,
! [X0] :
( ~ r1(X0)
| ~ r1(sK23(sK1(X0)))
| r1(sK1(X0)) ),
inference(resolution,[],[f359,f52]) ).
fof(f965,plain,
! [X0] :
( ~ r1(X0)
| r1(sK1(X0)) ),
inference(forward_subsumption_resolution,[],[f956,f287]) ).
fof(f966,plain,
! [X0] : ~ r1(X0),
inference(forward_subsumption_resolution,[],[f965,f195]) ).
fof(f967,plain,
spl24_2,
inference(avatar_split_clause,[],[f966,f179]) ).
cnf(s2,plain,
~ spl24_2,
inference(sat_conversion,[],[f184]) ).
cnf(s6,plain,
spl24_2,
inference(sat_conversion,[],[f967]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s2,s6]) ).
fof(f968,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUN066+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 21:57:01 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 10.59/2.52 % (2049499)Detected formulas, will run a generic FOF schedule.
% 10.59/2.52 % (2049504)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=2952177112:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.59/2.52 % (2049506)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=2624582659:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.59/2.52 % (2049505)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=206314066:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.59/2.52 % (2049510)dis-21_1_sil=8000:lcm=predicate:random_seed=821384794: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)
% 10.59/2.52 % (2049507)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3630761848:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.59/2.52 % (2049509)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4008380488:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.59/2.52 % (2049508)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2332898550:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.59/2.52 % (2049507)Instruction limit reached!
% 10.59/2.52 % (2049507)------------------------------
% 10.59/2.52 % (2049507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.59/2.52 % (2049507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.59/2.52 % (2049507)CaDiCaL version: 2.1.3
% 10.59/2.52 % (2049507)Termination reason: Instruction limit
% 10.59/2.52 % (2049507)Termination phase: Saturation
% 10.59/2.52 % (2049507)Time elapsed: 0.065 s
% 10.59/2.52 % (2049507)Peak memory usage: 88 MB
% 10.59/2.52 % (2049507)Instructions burned: 111 (million)
% 10.59/2.52 % (2049508)Instruction limit reached!
% 10.59/2.52 % (2049508)------------------------------
% 10.59/2.52 % (2049508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.59/2.52 % (2049508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.59/2.52 % (2049508)CaDiCaL version: 2.1.3
% 10.59/2.52 % (2049508)Termination reason: Instruction limit
% 10.59/2.52 % (2049508)Termination phase: Saturation
% 10.59/2.52 % (2049508)Time elapsed: 0.067 s
% 10.59/2.52 % (2049508)Peak memory usage: 88 MB
% 10.59/2.52 % (2049508)Instructions burned: 120 (million)
% 10.59/2.52 % (2049510)Instruction limit reached!
% 10.59/2.52 % (2049510)------------------------------
% 10.59/2.52 % (2049510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.59/2.52 % (2049510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.59/2.52 % (2049510)CaDiCaL version: 2.1.3
% 10.59/2.52 % (2049510)Termination reason: Instruction limit
% 10.59/2.52 % (2049510)Termination phase: Saturation
% 10.59/2.52 % (2049510)Time elapsed: 0.071 s
% 10.59/2.52 % (2049510)Peak memory usage: 88 MB
% 10.59/2.52 % (2049510)Instructions burned: 132 (million)
% 10.59/2.52 % (2049509)Instruction limit reached!
% 10.59/2.52 % (2049509)------------------------------
% 10.59/2.52 % (2049509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.59/2.52 % (2049509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.59/2.52 % (2049509)CaDiCaL version: 2.1.3
% 10.59/2.52 % (2049509)Termination reason: Instruction limit
% 10.59/2.52 % (2049509)Termination phase: Saturation
% 10.59/2.52 % (2049509)Time elapsed: 0.087 s
% 10.59/2.52 % (2049509)Peak memory usage: 89 MB
% 10.59/2.52 % (2049509)Instructions burned: 139 (million)
% 10.59/2.52 % (2049518)lrs+10_1_sil=8000:sp=occurrence:random_seed=3288549101:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.59/2.52 % (2049519)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3539923940:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.59/2.52 % (2049520)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2470836401:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.59/2.52 % (2049521)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=3844367100:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.59/2.52 % (2049519)Instruction limit reached!
% 10.59/2.52 % (2049519)------------------------------
% 10.59/2.52 % (2049519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.59/2.52 % (2049519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.59/2.52 % (2049519)CaDiCaL version: 2.1.3
% 10.59/2.52 % (2049519)Termination reason: Instruction limit
% 10.59/2.52 % (2049519)Termination phase: Saturation
% 10.59/2.52 % (2049519)Time elapsed: 0.074 s
% 10.59/2.52 % (2049519)Peak memory usage: 89 MB
% 10.59/2.52 % (2049519)Instructions burned: 157 (million)
% 10.59/2.52 % (2049521)Instruction limit reached!
% 10.59/2.52 % (2049521)------------------------------
% 10.59/2.52 % (2049521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.59/2.52 % (2049521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.59/2.52 % (2049521)CaDiCaL version: 2.1.3
% 10.59/2.52 % (2049521)Termination reason: Instruction limit
% 10.59/2.52 % (2049521)Termination phase: Saturation
% 10.59/2.52 % (2049521)Time elapsed: 0.123 s
% 10.59/2.52 % (2049521)Peak memory usage: 92 MB
% 10.59/2.52 % (2049521)Instructions burned: 249 (million)
% 10.59/2.52 % (2049518)Instruction limit reached!
% 10.59/2.52 % (2049518)------------------------------
% 10.59/2.52 % (2049518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.59/2.52 % (2049518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.59/2.52 % (2049518)CaDiCaL version: 2.1.3
% 10.59/2.52 % (2049518)Termination reason: Instruction limit
% 10.59/2.52 % (2049518)Termination phase: Saturation
% 10.59/2.52 % (2049518)Time elapsed: 0.166 s
% 10.59/2.52 % (2049518)Peak memory usage: 90 MB
% 10.59/2.52 % (2049518)Instructions burned: 286 (million)
% 10.59/2.52 % (2049520)Instruction limit reached!
% 10.59/2.52 % (2049520)------------------------------
% 10.59/2.52 % (2049520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.59/2.52 % (2049520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.59/2.52 % (2049520)CaDiCaL version: 2.1.3
% 10.59/2.52 % (2049520)Termination reason: Instruction limit
% 10.59/2.52 % (2049520)Termination phase: Saturation
% 10.59/2.52 % (2049520)Time elapsed: 0.177 s
% 10.59/2.52 % (2049520)Peak memory usage: 90 MB
% 10.59/2.52 % (2049520)Instructions burned: 325 (million)
% 10.59/2.52 % (2049526)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2915130714:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.59/2.52 % (2049526)Refutation not found, incomplete strategy
% 10.59/2.52 % (2049526)------------------------------
% 10.59/2.52 % (2049526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.59/2.52 % (2049526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.59/2.52 % (2049526)CaDiCaL version: 2.1.3
% 10.59/2.52 % (2049526)Termination reason: Refutation not found, incomplete strategy
% 10.59/2.52 % (2049526)Time elapsed: 0.025 s
% 10.59/2.52 % (2049526)Peak memory usage: 88 MB
% 10.59/2.52 % (2049526)Instructions burned: 45 (million)
% 10.59/2.52 % (2049527)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=165764908:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 10.59/2.52 % (2049528)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2610102317:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.59/2.52 % (2049529)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1886287342:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 10.59/2.52 % (2049528)Instruction limit reached!
% 10.59/2.52 % (2049528)------------------------------
% 10.59/2.52 % (2049528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.59/2.52 % (2049528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.59/2.52 % (2049528)CaDiCaL version: 2.1.3
% 10.59/2.52 % (2049528)Termination reason: Instruction limit
% 10.59/2.52 % (2049528)Termination phase: Saturation
% 10.59/2.52 % (2049528)Time elapsed: 0.063 s
% 10.59/2.52 % (2049528)Peak memory usage: 88 MB
% 10.59/2.52 % (2049528)Instructions burned: 114 (million)
% 10.59/2.52 % (2049529)Instruction limit reached!
% 10.59/2.52 % (2049529)------------------------------
% 10.59/2.52 % (2049529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.59/2.52 % (2049529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.59/2.52 % (2049529)CaDiCaL version: 2.1.3
% 10.59/2.52 % (2049529)Termination reason: Instruction limit
% 10.59/2.52 % (2049529)Termination phase: Saturation
% 12.33/2.72 % (2049529)Time elapsed: 0.068 s
% 12.33/2.72 % (2049529)Peak memory usage: 89 MB
% 12.33/2.72 % (2049529)Instructions burned: 128 (million)
% 12.33/2.72 % (2049526)------------------------------
% 12.33/2.72 % (2049526)------------------------------
% 12.33/2.72 % (2049534)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2993241612:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 12.33/2.72 % (2049535)lrs+10_1_sil=8000:sp=occurrence:random_seed=988677985:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 12.33/2.72 % (2049534)Instruction limit reached!
% 12.33/2.72 % (2049534)------------------------------
% 12.33/2.72 % (2049534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.33/2.72 % (2049534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.33/2.72 % (2049534)CaDiCaL version: 2.1.3
% 12.33/2.72 % (2049534)Termination reason: Instruction limit
% 12.33/2.72 % (2049534)Termination phase: Saturation
% 12.33/2.72 % (2049534)Time elapsed: 0.067 s
% 12.33/2.72 % (2049534)Peak memory usage: 89 MB
% 12.33/2.72 % (2049534)Instructions burned: 114 (million)
% 12.33/2.72 % (2049536)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2899378677:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 12.33/2.72 % (2049539)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=296566556:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 12.33/2.72 % (2049536)Instruction limit reached!
% 12.33/2.72 % (2049536)------------------------------
% 12.33/2.72 % (2049536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.33/2.72 % (2049536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.33/2.72 % (2049536)CaDiCaL version: 2.1.3
% 12.33/2.72 % (2049536)Termination reason: Instruction limit
% 12.33/2.72 % (2049536)Termination phase: Saturation
% 12.33/2.72 % (2049536)Time elapsed: 0.211 s
% 12.33/2.72 % (2049536)Peak memory usage: 89 MB
% 12.33/2.72 % (2049536)Instructions burned: 438 (million)
% 12.33/2.72 % (2049527)First to succeed.
% 12.33/2.72 % (2049527)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2049499"
% 12.33/2.72 % (2049542)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2238762392:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 12.33/2.72 % (2049542)Instruction limit reached!
% 12.33/2.72 % (2049542)------------------------------
% 12.33/2.72 % (2049542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.33/2.72 % (2049542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.33/2.72 % (2049542)CaDiCaL version: 2.1.3
% 12.33/2.72 % (2049542)Termination reason: Instruction limit
% 12.33/2.72 % (2049542)Termination phase: Saturation
% 12.33/2.72 % (2049542)Time elapsed: 0.067 s
% 12.33/2.72 % (2049542)Peak memory usage: 88 MB
% 12.33/2.72 % (2049542)Instructions burned: 136 (million)
% 12.33/2.72 % (2049535)Instruction limit reached!
% 12.33/2.72 % (2049535)------------------------------
% 12.33/2.72 % (2049535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.33/2.72 % (2049535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.33/2.72 % (2049535)CaDiCaL version: 2.1.3
% 12.33/2.72 % (2049535)Termination reason: Instruction limit
% 12.33/2.72 % (2049535)Termination phase: Saturation
% 12.33/2.72 % (2049535)Time elapsed: 0.530 s
% 12.33/2.72 % (2049535)Peak memory usage: 94 MB
% 12.33/2.72 % (2049535)Instructions burned: 908 (million)
% 12.33/2.72 % (2049527)Refutation found. Thanks to Tanya!
% 12.33/2.72 % SZS status Theorem for theBenchmark
% 12.33/2.72 % SZS output start Proof for theBenchmark
% See solution above
% 12.33/2.72 % (2049527)------------------------------
% 12.33/2.72 % (2049527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.33/2.72 % (2049527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.33/2.72 % (2049527)CaDiCaL version: 2.1.3
% 12.33/2.72 % (2049527)Termination reason: Refutation
% 12.33/2.72 % (2049527)Time elapsed: 0.703 s
% 12.33/2.72 % (2049527)Peak memory usage: 130 MB
% 12.33/2.72 % (2049527)Instructions burned: 1055 (million)
% 12.33/2.72 % (2049527)------------------------------
% 12.33/2.72 % (2049527)------------------------------
% 12.33/2.72 % (2049499)Success in time 1.652 s
% 12.33/2.72 % Vampire exiting
%------------------------------------------------------------------------------