%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO093+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 09:51:31 AM UTC 2026
% Result : Theorem 3.10s 1.60s
% Output : Refutation 5.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 69 ( 13 unt; 1 def)
% Number of atoms : 231 ( 49 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 250 ( 88 ~; 108 |; 45 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 136 ( 0 sgn 123 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn) ).
fof(f2,axiom,
! [X0,X1,X2] :
( X0 = sum(X1,X2)
<=> ! [X3] :
( incident_c(X3,X0)
<=> ( incident_c(X3,X1)
| incident_c(X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_defn) ).
fof(f8,axiom,
! [X0,X1] :
( ( part_of(X1,X0)
& X1 != X0 )
=> open(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).
fof(f17,conjecture,
! [X0,X1,X2,X3] :
( ( open(X0)
& part_of(X1,X0)
& part_of(X2,X0)
& meet(X3,X1,X2) )
=> open(sum(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_2) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( open(X0)
& part_of(X1,X0)
& part_of(X2,X0)
& meet(X3,X1,X2) )
=> open(sum(X1,X2)) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f21,plain,
? [X0,X1,X2,X3] :
( ~ open(sum(X1,X2))
& open(X0)
& part_of(X1,X0)
& part_of(X2,X0)
& meet(X3,X1,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
? [X0,X1,X2,X3] :
( ~ open(sum(X1,X2))
& open(X0)
& part_of(X1,X0)
& part_of(X2,X0)
& meet(X3,X1,X2) ),
inference(flattening,[],[f21]) ).
fof(f26,plain,
! [X0,X1] :
( open(X1)
| ~ part_of(X1,X0)
| X0 = X1 ),
inference(ennf_transformation,[],[f8]) ).
fof(f27,plain,
! [X0,X1] :
( open(X1)
| ~ part_of(X1,X0)
| X0 = X1 ),
inference(flattening,[],[f26]) ).
fof(f30,plain,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f33,plain,
( ~ open(sum(sK1,sK2))
& open(sK0)
& part_of(sK1,sK0)
& part_of(sK2,sK0)
& meet(sK3,sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f22]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( X0 = sum(X1,X2)
| ? [X3] :
( ( ( ~ incident_c(X3,X1)
& ~ incident_c(X3,X2) )
| ~ incident_c(X3,X0) )
& ( incident_c(X3,X1)
| incident_c(X3,X2)
| incident_c(X3,X0) ) ) )
& ( ! [X3] :
( ( incident_c(X3,X0)
| ( ~ incident_c(X3,X1)
& ~ incident_c(X3,X2) ) )
& ( incident_c(X3,X1)
| incident_c(X3,X2)
| ~ incident_c(X3,X0) ) )
| sum(X1,X2) != X0 ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( X0 = sum(X1,X2)
| ? [X3] :
( ( ( ~ incident_c(X3,X1)
& ~ incident_c(X3,X2) )
| ~ incident_c(X3,X0) )
& ( incident_c(X3,X1)
| incident_c(X3,X2)
| incident_c(X3,X0) ) ) )
& ( ! [X3] :
( ( incident_c(X3,X0)
| ( ~ incident_c(X3,X1)
& ~ incident_c(X3,X2) ) )
& ( incident_c(X3,X1)
| incident_c(X3,X2)
| ~ incident_c(X3,X0) ) )
| sum(X1,X2) != X0 ) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( X0 = sum(X1,X2)
| ? [X3] :
( ( ( ~ incident_c(X3,X1)
& ~ incident_c(X3,X2) )
| ~ incident_c(X3,X0) )
& ( incident_c(X3,X1)
| incident_c(X3,X2)
| incident_c(X3,X0) ) ) )
& ( ! [X4] :
( ( incident_c(X4,X0)
| ( ~ incident_c(X4,X1)
& ~ incident_c(X4,X2) ) )
& ( incident_c(X4,X1)
| incident_c(X4,X2)
| ~ incident_c(X4,X0) ) )
| sum(X1,X2) != X0 ) ),
inference(rectify,[],[f37]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( X0 = sum(X1,X2)
| ( ( ( ~ incident_c(sK5(X0,X1,X2),X1)
& ~ incident_c(sK5(X0,X1,X2),X2) )
| ~ incident_c(sK5(X0,X1,X2),X0) )
& ( incident_c(sK5(X0,X1,X2),X1)
| incident_c(sK5(X0,X1,X2),X2)
| incident_c(sK5(X0,X1,X2),X0) ) ) )
& ( ! [X4] :
( ( incident_c(X4,X0)
| ( ~ incident_c(X4,X1)
& ~ incident_c(X4,X2) ) )
& ( incident_c(X4,X1)
| incident_c(X4,X2)
| ~ incident_c(X4,X0) ) )
| sum(X1,X2) != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X3,sK5(X0,X1,X2))],[f38]) ).
fof(f44,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) )
| ~ part_of(X1,X0) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f45,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(rectify,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ( ~ incident_c(sK8(X0,X1),X0)
& incident_c(sK8(X0,X1),X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0,X1))],[f45]) ).
fof(f55,plain,
part_of(sK2,sK0),
inference(cnf_transformation,[],[f33]) ).
fof(f56,plain,
part_of(sK1,sK0),
inference(cnf_transformation,[],[f33]) ).
fof(f57,plain,
open(sK0),
inference(cnf_transformation,[],[f33]) ).
fof(f58,plain,
~ open(sum(sK1,sK2)),
inference(cnf_transformation,[],[f33]) ).
fof(f60,plain,
! [X2,X0,X1,X4] :
( incident_c(X4,X1)
| incident_c(X4,X2)
| ~ incident_c(X4,X0)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f61,plain,
! [X2,X0,X1,X4] :
( incident_c(X4,X0)
| ~ incident_c(X4,X2)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f62,plain,
! [X2,X0,X1,X4] :
( incident_c(X4,X0)
| ~ incident_c(X4,X1)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f39]) ).
fof(f63,plain,
! [X2,X0,X1] :
( incident_c(sK5(X0,X1,X2),X2)
| incident_c(sK5(X0,X1,X2),X1)
| sum(X1,X2) = X0
| incident_c(sK5(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ incident_c(sK5(X0,X1,X2),X2)
| sum(X1,X2) = X0
| ~ incident_c(sK5(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ incident_c(sK5(X0,X1,X2),X1)
| sum(X1,X2) = X0
| ~ incident_c(sK5(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f67,plain,
! [X0,X1] :
( open(X1)
| ~ part_of(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f27]) ).
fof(f76,plain,
! [X3,X0,X1] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1)
| ~ part_of(X1,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f77,plain,
! [X0,X1] :
( incident_c(sK8(X0,X1),X1)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f78,plain,
! [X0,X1] :
( part_of(X1,X0)
| ~ incident_c(sK8(X0,X1),X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f88,plain,
! [X2,X1,X4] :
( incident_c(X4,sum(X1,X2))
| ~ incident_c(X4,X1) ),
inference(equality_resolution,[],[f62]) ).
fof(f89,plain,
! [X2,X1,X4] :
( incident_c(X4,sum(X1,X2))
| ~ incident_c(X4,X2) ),
inference(equality_resolution,[],[f61]) ).
fof(f90,plain,
! [X2,X1,X4] :
( incident_c(X4,X1)
| incident_c(X4,X2)
| ~ incident_c(X4,sum(X1,X2)) ),
inference(equality_resolution,[],[f60]) ).
fof(f94,plain,
! [X0] :
( ~ part_of(sum(sK1,sK2),X0)
| sum(sK1,sK2) = X0 ),
inference(resolution,[],[f67,f58]) ).
fof(f96,plain,
! [X0] :
( ~ incident_c(sK8(X0,sum(sK1,sK2)),X0)
| sum(sK1,sK2) = X0 ),
inference(resolution,[],[f78,f94]) ).
fof(f100,plain,
! [X0,X1] :
( ~ incident_c(sK8(sum(X0,X1),sum(sK1,sK2)),X0)
| sum(X0,X1) = sum(sK1,sK2) ),
inference(resolution,[],[f88,f96]) ).
fof(f107,definition,
( spl11_1
<=> sK0 = sum(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f109,plain,
( sK0 = sum(sK1,sK2)
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f156,plain,
! [X2,X3,X0,X1] :
( ~ part_of(X3,X1)
| ~ incident_c(sK5(X2,X0,X1),X2)
| ~ incident_c(sK5(X2,X0,X1),X3)
| sum(X0,X1) = X2 ),
inference(resolution,[],[f64,f76]) ).
fof(f195,plain,
! [X0,X1] :
( incident_c(sK5(X0,X1,X1),X1)
| sum(X1,X1) = X0
| incident_c(sK5(X0,X1,X1),X0) ),
inference(factoring,[],[f63]) ).
fof(f242,plain,
! [X0] :
( incident_c(sK5(X0,X0,X0),X0)
| sum(X0,X0) = X0 ),
inference(factoring,[],[f195]) ).
fof(f263,plain,
! [X0,X1] :
( ~ incident_c(sK5(X0,X1,sK0),sK2)
| ~ incident_c(sK5(X0,X1,sK0),X0)
| sum(X1,sK0) = X0 ),
inference(resolution,[],[f156,f55]) ).
fof(f264,plain,
! [X0,X1] :
( ~ incident_c(sK5(X0,X1,sK0),sK1)
| ~ incident_c(sK5(X0,X1,sK0),X0)
| sum(X1,sK0) = X0 ),
inference(resolution,[],[f156,f56]) ).
fof(f374,plain,
! [X2,X0,X1] :
( ~ incident_c(sK5(X0,X1,sK0),sum(sK1,X2))
| sum(X1,sK0) = X0
| incident_c(sK5(X0,X1,sK0),X2)
| ~ incident_c(sK5(X0,X1,sK0),X0) ),
inference(resolution,[],[f264,f90]) ).
fof(f537,plain,
! [X0] :
( sum(X0,X0) = X0
| sum(X0,X0) = X0
| ~ incident_c(sK5(X0,X0,X0),X0) ),
inference(resolution,[],[f242,f65]) ).
fof(f538,plain,
! [X0] :
( sum(X0,X0) = X0
| ~ incident_c(sK5(X0,X0,X0),X0) ),
inference(duplicate_literal_removal,[],[f537]) ).
fof(f540,plain,
! [X0] : sum(X0,X0) = X0,
inference(forward_subsumption_resolution,[],[f538,f242]) ).
fof(f1393,plain,
! [X0] :
( sum(sK1,sK2) = sum(sum(sK1,sK2),X0)
| part_of(sum(sK1,sK2),sum(sum(sK1,sK2),X0)) ),
inference(resolution,[],[f100,f77]) ).
fof(f1402,plain,
! [X0] : sum(sK1,sK2) = sum(sum(sK1,sK2),X0),
inference(forward_subsumption_resolution,[],[f1393,f94]) ).
fof(f1412,plain,
! [X0,X1] :
( ~ incident_c(X0,X1)
| incident_c(X0,sum(sK1,sK2)) ),
inference(superposition,[],[f89,f1402]) ).
fof(f1507,plain,
! [X0,X1] :
( incident_c(sK5(X0,X1,X1),sum(sK1,sK2))
| sum(X1,X1) = X0
| incident_c(sK5(X0,X1,X1),X0) ),
inference(resolution,[],[f1412,f195]) ).
fof(f1528,plain,
! [X0,X1] :
( incident_c(sK5(X0,X1,X1),sum(sK1,sK2))
| sum(X1,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f1507,f1412]) ).
fof(f1530,plain,
! [X0,X1] :
( incident_c(sK5(X0,X1,X1),sum(sK1,sK2))
| X0 = X1 ),
inference(forward_demodulation,[],[f1528,f540]) ).
fof(f2461,plain,
! [X0] :
( sum(sK0,sK0) = X0
| incident_c(sK5(X0,sK0,sK0),sK2)
| ~ incident_c(sK5(X0,sK0,sK0),X0)
| sK0 = X0 ),
inference(resolution,[],[f374,f1530]) ).
fof(f2477,plain,
! [X0] :
( sum(sK0,sK0) = X0
| ~ incident_c(sK5(X0,sK0,sK0),X0)
| sK0 = X0 ),
inference(forward_subsumption_resolution,[],[f2461,f263]) ).
fof(f2478,plain,
! [X0] :
( sK0 = X0
| ~ incident_c(sK5(X0,sK0,sK0),X0)
| sK0 = X0 ),
inference(forward_demodulation,[],[f2477,f540]) ).
fof(f2479,plain,
! [X0] :
( ~ incident_c(sK5(X0,sK0,sK0),X0)
| sK0 = X0 ),
inference(duplicate_literal_removal,[],[f2478]) ).
fof(f2485,plain,
( sK0 = sum(sK1,sK2)
| sK0 = sum(sK1,sK2) ),
inference(resolution,[],[f2479,f1530]) ).
fof(f2494,plain,
sK0 = sum(sK1,sK2),
inference(duplicate_literal_removal,[],[f2485]) ).
fof(f2497,plain,
spl11_1,
inference(avatar_split_clause,[],[f2494,f107]) ).
fof(f2513,plain,
( ~ open(sK0)
| ~ spl11_1 ),
inference(superposition,[],[f58,f109]) ).
fof(f2632,plain,
( $false
| ~ spl11_1 ),
inference(forward_subsumption_resolution,[],[f2513,f57]) ).
fof(f2633,plain,
~ spl11_1,
inference(avatar_contradiction_clause,[],[f2632]) ).
cnf(s27,plain,
spl11_1,
inference(sat_conversion,[],[f2497]) ).
cnf(s32,plain,
~ spl11_1,
inference(sat_conversion,[],[f2633]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s27,s32]) ).
fof(f2636,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO093+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n020.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 06:57:04 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 3.10/1.60 % (3057052)Detected formulas, will run a generic FOF schedule.
% 3.10/1.60 % (3057061)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=776997195:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.10/1.60 % (3057060)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4279077841:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.10/1.60 % (3057058)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=3206990271:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.10/1.60 % (3057059)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=3334877872:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.10/1.60 % (3057057)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=3566967297:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.10/1.60 % (3057063)dis-21_1_sil=8000:lcm=predicate:random_seed=3783923712: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)
% 3.10/1.60 % (3057062)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=106562910:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.10/1.60 % (3057061)Instruction limit reached!
% 3.10/1.60 % (3057061)------------------------------
% 3.10/1.60 % (3057061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.60 % (3057061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.60 % (3057061)CaDiCaL version: 2.1.3
% 3.10/1.60 % (3057061)Termination reason: Instruction limit
% 3.10/1.60 % (3057061)Termination phase: Saturation
% 3.10/1.60 % (3057061)Time elapsed: 0.041 s
% 3.10/1.60 % (3057061)Peak memory usage: 88 MB
% 3.10/1.60 % (3057061)Instructions burned: 119 (million)
% 3.10/1.60 % (3057060)Refutation not found, incomplete strategy
% 3.10/1.60 % (3057060)------------------------------
% 3.10/1.60 % (3057060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.60 % (3057060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.60 % (3057060)CaDiCaL version: 2.1.3
% 3.10/1.60 % (3057060)Termination reason: Refutation not found, incomplete strategy
% 3.10/1.60 % (3057060)Time elapsed: 0.020 s
% 3.10/1.60 % (3057060)Peak memory usage: 89 MB
% 3.10/1.60 % (3057060)Instructions burned: 28 (million)
% 3.10/1.60 % (3057063)Instruction limit reached!
% 3.10/1.60 % (3057063)------------------------------
% 3.10/1.60 % (3057063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.60 % (3057063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.60 % (3057063)CaDiCaL version: 2.1.3
% 3.10/1.60 % (3057063)Termination reason: Instruction limit
% 3.10/1.60 % (3057063)Termination phase: Saturation
% 3.10/1.60 % (3057063)Time elapsed: 0.078 s
% 3.10/1.60 % (3057063)Peak memory usage: 89 MB
% 3.10/1.60 % (3057063)Instructions burned: 130 (million)
% 3.10/1.60 % (3057062)Instruction limit reached!
% 3.10/1.60 % (3057062)------------------------------
% 3.10/1.60 % (3057062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.60 % (3057062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.60 % (3057062)CaDiCaL version: 2.1.3
% 3.10/1.60 % (3057062)Termination reason: Instruction limit
% 3.10/1.60 % (3057062)Termination phase: Saturation
% 3.10/1.60 % (3057062)Time elapsed: 0.098 s
% 3.10/1.60 % (3057062)Peak memory usage: 89 MB
% 3.10/1.60 % (3057062)Instructions burned: 140 (million)
% 3.10/1.60 % (3057071)lrs+10_1_sil=8000:sp=occurrence:random_seed=2601755693:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.10/1.60 % (3057072)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4283405422:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.10/1.60 % (3057071)Instruction limit reached!
% 3.10/1.60 % (3057071)------------------------------
% 3.10/1.60 % (3057071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.60 % (3057071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.60 % (3057071)CaDiCaL version: 2.1.3
% 3.10/1.60 % (3057071)Termination reason: Instruction limit
% 3.10/1.60 % (3057071)Termination phase: Saturation
% 3.10/1.60 % (3057071)Time elapsed: 0.091 s
% 3.10/1.60 % (3057071)Peak memory usage: 91 MB
% 3.10/1.60 % (3057071)Instructions burned: 285 (million)
% 3.10/1.60 % (3057073)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1801774614:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.10/1.60 % (3057060)------------------------------
% 3.10/1.60 % (3057060)------------------------------
% 3.10/1.60 % (3057076)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=3203593253:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.10/1.60 % (3057072)Instruction limit reached!
% 3.10/1.60 % (3057072)------------------------------
% 3.10/1.60 % (3057072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.60 % (3057072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.60 % (3057072)CaDiCaL version: 2.1.3
% 3.10/1.60 % (3057072)Termination reason: Instruction limit
% 3.10/1.60 % (3057072)Termination phase: Saturation
% 3.10/1.60 % (3057072)Time elapsed: 0.087 s
% 3.10/1.60 % (3057072)Peak memory usage: 89 MB
% 3.10/1.60 % (3057072)Instructions burned: 161 (million)
% 3.10/1.60 % (3057073)First to succeed.
% 3.10/1.60 % (3057073)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3057052"
% 3.10/1.60 % (3057076)Instruction limit reached!
% 3.10/1.60 % (3057076)------------------------------
% 3.10/1.60 % (3057076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.60 % (3057076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.60 % (3057076)CaDiCaL version: 2.1.3
% 3.10/1.60 % (3057076)Termination reason: Instruction limit
% 3.10/1.60 % (3057076)Termination phase: Saturation
% 3.10/1.60 % (3057076)Time elapsed: 0.072 s
% 3.10/1.60 % (3057076)Peak memory usage: 90 MB
% 3.10/1.60 % (3057076)Instructions burned: 250 (million)
% 3.10/1.60 % (3057078)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=310143895:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.10/1.60 % (3057080)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4064893737:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 3.10/1.60 % (3057081)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3250811744:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 3.10/1.60 % (3057081)Instruction limit reached!
% 3.10/1.60 % (3057081)------------------------------
% 3.10/1.60 % (3057081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.60 % (3057081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.60 % (3057081)CaDiCaL version: 2.1.3
% 3.10/1.60 % (3057081)Termination reason: Instruction limit
% 3.10/1.60 % (3057081)Termination phase: Saturation
% 3.10/1.60 % (3057081)Time elapsed: 0.038 s
% 3.10/1.60 % (3057081)Peak memory usage: 89 MB
% 3.10/1.60 % (3057081)Instructions burned: 116 (million)
% 3.10/1.60 % (3057078)Instruction limit reached!
% 3.10/1.60 % (3057078)------------------------------
% 3.10/1.60 % (3057078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.60 % (3057078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.60 % (3057078)CaDiCaL version: 2.1.3
% 3.10/1.60 % (3057078)Termination reason: Instruction limit
% 3.10/1.60 % (3057078)Termination phase: Saturation
% 3.10/1.60 % (3057078)Time elapsed: 0.163 s
% 3.10/1.60 % (3057078)Peak memory usage: 89 MB
% 3.10/1.60 % (3057078)Instructions burned: 294 (million)
% 3.10/1.60 % (3057073)Refutation found. Thanks to Tanya!
% 3.10/1.60 % SZS status Theorem for theBenchmark
% 3.10/1.60 % SZS output start Proof for theBenchmark
% See solution above
% 5.78/1.80 % (3057073)------------------------------
% 5.78/1.80 % (3057073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.78/1.80 % (3057073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.78/1.80 % (3057073)CaDiCaL version: 2.1.3
% 5.78/1.80 % (3057073)Termination reason: Refutation
% 5.78/1.80 % (3057073)Time elapsed: 0.088 s
% 5.78/1.80 % (3057073)Peak memory usage: 91 MB
% 5.78/1.80 % (3057073)Instructions burned: 136 (million)
% 5.78/1.80 % (3057073)------------------------------
% 5.78/1.80 % (3057073)------------------------------
% 5.78/1.80 % (3057052)Success in time 0.738 s
% 5.78/1.80 % Vampire exiting
%------------------------------------------------------------------------------