%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU212+2 : TPTP v9.3.1. Released v3.3.0.
% 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 12:47:45 PM UTC 2026
% Result : Theorem 3.77s 1.26s
% Output : Refutation 4.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 64 ( 7 unt; 3 def)
% Number of atoms : 240 ( 45 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 281 ( 105 ~; 115 |; 38 &)
% ( 15 <=>; 6 =>; 0 <=; 2 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 77 ( 0 sgn 57 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1,X2] :
( ( in(X1,relation_dom(X0))
=> ( X2 = apply(X0,X1)
<=> in(ordered_pair(X1,X2),X0) ) )
& ( ~ in(X1,relation_dom(X0))
=> ( X2 = apply(X0,X1)
<=> X2 = empty_set ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_funct_1) ).
fof(f28,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f206,conjecture,
! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(ordered_pair(X0,X1),X2)
<=> ( in(X0,relation_dom(X2))
& X1 = apply(X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_funct_1) ).
fof(f207,negated_conjecture,
~ ! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(ordered_pair(X0,X1),X2)
<=> ( in(X0,relation_dom(X2))
& X1 = apply(X2,X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f206]) ).
fof(f217,plain,
? [X0,X1,X2] :
( ( in(ordered_pair(X0,X1),X2)
<~> ( in(X0,relation_dom(X2))
& X1 = apply(X2,X0) ) )
& relation(X2)
& function(X2) ),
inference(ennf_transformation,[],[f207]) ).
fof(f218,plain,
? [X0,X1,X2] :
( ( in(ordered_pair(X0,X1),X2)
<~> ( in(X0,relation_dom(X2))
& X1 = apply(X2,X0) ) )
& relation(X2)
& function(X2) ),
inference(flattening,[],[f217]) ).
fof(f221,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = apply(X0,X1)
<=> in(ordered_pair(X1,X2),X0) )
| ~ in(X1,relation_dom(X0)) )
& ( ( X2 = apply(X0,X1)
<=> X2 = empty_set )
| in(X1,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f222,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = apply(X0,X1)
<=> in(ordered_pair(X1,X2),X0) )
| ~ in(X1,relation_dom(X0)) )
& ( ( X2 = apply(X0,X1)
<=> X2 = empty_set )
| in(X1,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f221]) ).
fof(f240,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f241,plain,
? [X0,X1,X2] :
( ( ~ in(X0,relation_dom(X2))
| apply(X2,X0) != X1
| ~ in(ordered_pair(X0,X1),X2) )
& ( ( in(X0,relation_dom(X2))
& X1 = apply(X2,X0) )
| in(ordered_pair(X0,X1),X2) )
& relation(X2)
& function(X2) ),
inference(nnf_transformation,[],[f218]) ).
fof(f242,plain,
? [X0,X1,X2] :
( ( ~ in(X0,relation_dom(X2))
| apply(X2,X0) != X1
| ~ in(ordered_pair(X0,X1),X2) )
& ( ( in(X0,relation_dom(X2))
& X1 = apply(X2,X0) )
| in(ordered_pair(X0,X1),X2) )
& relation(X2)
& function(X2) ),
inference(flattening,[],[f241]) ).
fof(f243,plain,
( ( ~ in(sK0,relation_dom(sK2))
| sK1 != apply(sK2,sK0)
| ~ in(ordered_pair(sK0,sK1),sK2) )
& ( ( in(sK0,relation_dom(sK2))
& sK1 = apply(sK2,sK0) )
| in(ordered_pair(sK0,sK1),sK2) )
& relation(sK2)
& function(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f242]) ).
fof(f247,plain,
! [X0] :
( ! [X1,X2] :
( ( ( ( X2 = apply(X0,X1)
| ~ in(ordered_pair(X1,X2),X0) )
& ( in(ordered_pair(X1,X2),X0)
| apply(X0,X1) != X2 ) )
| ~ in(X1,relation_dom(X0)) )
& ( ( ( X2 = apply(X0,X1)
| empty_set != X2 )
& ( X2 = empty_set
| apply(X0,X1) != X2 ) )
| in(X1,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f222]) ).
fof(f259,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f240]) ).
fof(f260,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f259]) ).
fof(f261,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK14(X0,X1),X3),X0)
| ~ in(sK14(X0,X1),X1) )
& ( in(ordered_pair(sK14(X0,X1),sK15(X0,X1)),X0)
| in(sK14(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK16(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16]),skolemize(X2,sK14(X0,X1)),skolemize(X4,sK15(X0,X1)),skolemize(X7,sK16(X0,X5))],[f260]) ).
fof(f262,plain,
function(sK2),
inference(cnf_transformation,[],[f243]) ).
fof(f263,plain,
relation(sK2),
inference(cnf_transformation,[],[f243]) ).
fof(f264,plain,
( sK1 = apply(sK2,sK0)
| in(ordered_pair(sK0,sK1),sK2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f265,plain,
( in(sK0,relation_dom(sK2))
| in(ordered_pair(sK0,sK1),sK2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f266,plain,
( ~ in(sK0,relation_dom(sK2))
| sK1 != apply(sK2,sK0)
| ~ in(ordered_pair(sK0,sK1),sK2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f275,plain,
! [X2,X0,X1] :
( apply(X0,X1) = X2
| ~ in(ordered_pair(X1,X2),X0)
| ~ in(X1,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f304,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK16(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f305,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f313,plain,
! [X0,X6,X5] :
( ~ in(ordered_pair(X5,X6),X0)
| in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f305]) ).
fof(f314,plain,
! [X0,X5] :
( in(ordered_pair(X5,sK16(X0,X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f304]) ).
fof(f317,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X1,X2),X0)
| apply(X0,X1) = X2
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_subsumption_resolution,[],[f275,f313]) ).
fof(f319,definition,
( spl17_1
<=> in(ordered_pair(sK0,sK1),sK2) ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
fof(f320,plain,
( ~ in(ordered_pair(sK0,sK1),sK2)
| spl17_1 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f321,plain,
( in(ordered_pair(sK0,sK1),sK2)
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f323,definition,
( spl17_2
<=> sK1 = apply(sK2,sK0) ),
introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).
fof(f324,plain,
( sK1 != apply(sK2,sK0)
| spl17_2 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f325,plain,
( sK1 = apply(sK2,sK0)
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f326,plain,
( spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f264,f323,f319]) ).
fof(f328,definition,
( spl17_3
<=> in(sK0,relation_dom(sK2)) ),
introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).
fof(f329,plain,
( ~ in(sK0,relation_dom(sK2))
| spl17_3 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f330,plain,
( in(sK0,relation_dom(sK2))
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f331,plain,
( spl17_1
| spl17_3 ),
inference(avatar_split_clause,[],[f265,f328,f319]) ).
fof(f332,plain,
( ~ spl17_1
| ~ spl17_2
| ~ spl17_3 ),
inference(avatar_split_clause,[],[f266,f328,f323,f319]) ).
fof(f378,plain,
( in(ordered_pair(sK0,sK16(sK2,sK0)),sK2)
| ~ spl17_3 ),
inference(unit_resulting_resolution,[],[f314,f263,f330]) ).
fof(f384,plain,
( apply(sK2,sK0) = sK16(sK2,sK0)
| ~ spl17_3 ),
inference(unit_resulting_resolution,[],[f317,f262,f263,f378]) ).
fof(f385,plain,
( sK1 = sK16(sK2,sK0)
| ~ spl17_2
| ~ spl17_3 ),
inference(forward_demodulation,[],[f384,f325]) ).
fof(f387,plain,
( in(ordered_pair(sK0,sK1),sK2)
| ~ in(sK0,relation_dom(sK2))
| ~ relation(sK2)
| ~ spl17_2
| ~ spl17_3 ),
inference(superposition,[],[f314,f385]) ).
fof(f388,plain,
( ~ in(sK0,relation_dom(sK2))
| ~ relation(sK2)
| spl17_1
| ~ spl17_2
| ~ spl17_3 ),
inference(forward_subsumption_resolution,[],[f387,f320]) ).
fof(f391,plain,
( ~ relation(sK2)
| spl17_1
| ~ spl17_2
| ~ spl17_3 ),
inference(forward_subsumption_resolution,[],[f388,f330]) ).
fof(f392,plain,
( $false
| spl17_1
| ~ spl17_2
| ~ spl17_3 ),
inference(forward_subsumption_resolution,[],[f391,f263]) ).
fof(f393,plain,
( spl17_1
| ~ spl17_2
| ~ spl17_3 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f396,plain,
( sK1 = apply(sK2,sK0)
| ~ spl17_1 ),
inference(unit_resulting_resolution,[],[f317,f262,f263,f321]) ).
fof(f398,plain,
( ~ relation(sK2)
| ~ spl17_1
| spl17_3 ),
inference(unit_resulting_resolution,[],[f313,f329,f321]) ).
fof(f407,plain,
( $false
| ~ spl17_1
| spl17_3 ),
inference(forward_subsumption_resolution,[],[f398,f263]) ).
fof(f408,plain,
( ~ spl17_1
| spl17_3 ),
inference(avatar_contradiction_clause,[],[f407]) ).
fof(f409,plain,
( $false
| ~ spl17_1
| spl17_2 ),
inference(forward_subsumption_resolution,[],[f396,f324]) ).
fof(f410,plain,
( ~ spl17_1
| spl17_2 ),
inference(avatar_contradiction_clause,[],[f409]) ).
cnf(s1,plain,
( spl17_1
| spl17_2 ),
inference(sat_conversion,[],[f326]) ).
cnf(s2,plain,
( spl17_1
| spl17_3 ),
inference(sat_conversion,[],[f331]) ).
cnf(s3,plain,
( ~ spl17_1
| ~ spl17_2
| ~ spl17_3 ),
inference(sat_conversion,[],[f332]) ).
cnf(s8,plain,
( spl17_1
| ~ spl17_2
| ~ spl17_3 ),
inference(sat_conversion,[],[f393]) ).
cnf(s11,plain,
( ~ spl17_1
| spl17_3 ),
inference(sat_conversion,[],[f408]) ).
cnf(s12,plain,
( ~ spl17_1
| spl17_2 ),
inference(sat_conversion,[],[f410]) ).
cnf(s13,plain,
spl17_1,
inference(rat,[],[s8,s1,s2]) ).
cnf(s14,plain,
spl17_2,
inference(rat,[],[s12,s13]) ).
cnf(s15,plain,
spl17_3,
inference(rat,[],[s11,s13]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s3,s14,s15,s13]) ).
fof(f411,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU212+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 % Computer : n013.cluster.edu
% 0.11/0.43 % Model : x86_64 x86_64
% 0.11/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.43 % Memory : 8046.5625MB
% 0.11/0.43 % OS : Linux 6.8.0-71-generic
% 0.11/0.43 % CPULimit : 300
% 0.11/0.43 % WCLimit : 300
% 0.11/0.43 % DateTime : Mon Sep 28 04:04:07 UTC 2026
% 0.11/0.43 % CPUTime :
% 0.11/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.47 Running first-order theorem proving
% 0.15/0.47 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
% 3.77/1.26 % (789575)Detected formulas, will run a generic FOF schedule.
% 3.77/1.26 % (789584)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2718012023:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.77/1.26 % (789585)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=763811820:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.77/1.26 % (789581)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=2331187190:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.77/1.26 % (789586)dis-21_1_sil=8000:lcm=predicate:random_seed=173456573: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)
% 3.77/1.26 % (789580)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=3267314777:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.77/1.26 % (789583)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=762809202:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.77/1.26 % (789582)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=226201596:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.77/1.26 % (789584)Instruction limit reached!
% 3.77/1.26 % (789584)------------------------------
% 3.77/1.26 % (789584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.26 % (789584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.26 % (789584)CaDiCaL version: 2.1.3
% 3.77/1.26 % (789584)Termination reason: Instruction limit
% 3.77/1.26 % (789584)Termination phase: Saturation
% 3.77/1.26 % (789584)Time elapsed: 0.041 s
% 3.77/1.26 % (789584)Peak memory usage: 89 MB
% 3.77/1.26 % (789584)Instructions burned: 120 (million)
% 3.77/1.26 % (789583)Instruction limit reached!
% 3.77/1.26 % (789583)------------------------------
% 3.77/1.26 % (789583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.26 % (789583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.26 % (789583)CaDiCaL version: 2.1.3
% 3.77/1.26 % (789583)Termination reason: Instruction limit
% 3.77/1.26 % (789583)Termination phase: Saturation
% 3.77/1.26 % (789583)Time elapsed: 0.072 s
% 3.77/1.26 % (789583)Peak memory usage: 90 MB
% 3.77/1.26 % (789583)Instructions burned: 110 (million)
% 3.77/1.26 % (789586)Instruction limit reached!
% 3.77/1.26 % (789586)------------------------------
% 3.77/1.26 % (789586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.26 % (789586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.26 % (789586)CaDiCaL version: 2.1.3
% 3.77/1.26 % (789586)Termination reason: Instruction limit
% 3.77/1.26 % (789586)Termination phase: Saturation
% 3.77/1.26 % (789586)Time elapsed: 0.079 s
% 3.77/1.26 % (789586)Peak memory usage: 90 MB
% 3.77/1.26 % (789586)Instructions burned: 130 (million)
% 3.77/1.26 % (789585)Instruction limit reached!
% 3.77/1.26 % (789585)------------------------------
% 3.77/1.26 % (789585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.26 % (789585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.26 % (789585)CaDiCaL version: 2.1.3
% 3.77/1.26 % (789585)Termination reason: Instruction limit
% 3.77/1.26 % (789585)Termination phase: Saturation
% 3.77/1.26 % (789585)Time elapsed: 0.095 s
% 3.77/1.26 % (789585)Peak memory usage: 90 MB
% 3.77/1.26 % (789585)Instructions burned: 139 (million)
% 3.77/1.26 % (789594)lrs+10_1_sil=8000:sp=occurrence:random_seed=1307605454:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.77/1.26 % (789595)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3760982327:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.77/1.26 % (789595)First to succeed.
% 3.77/1.26 % (789595)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-789575"
% 3.77/1.26 % (789596)lrs+1011_1_sil=32000:sp=occurrence:random_seed=894179679:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.77/1.26 % (789597)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=1911939615:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.77/1.26 % (789594)Instruction limit reached!
% 3.77/1.26 % (789594)------------------------------
% 3.77/1.26 % (789594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.26 % (789594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.26 % (789594)CaDiCaL version: 2.1.3
% 3.77/1.26 % (789594)Termination reason: Instruction limit
% 3.77/1.26 % (789594)Termination phase: Saturation
% 3.77/1.26 % (789594)Time elapsed: 0.103 s
% 3.77/1.26 % (789594)Peak memory usage: 93 MB
% 3.77/1.26 % (789594)Instructions burned: 287 (million)
% 3.77/1.26 % (789597)Also succeeded, but the first one will report.
% 3.77/1.26 % (789602)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3519544981:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 3.77/1.26 % (789602)Instruction limit reached!
% 3.77/1.26 % (789602)------------------------------
% 3.77/1.26 % (789602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.26 % (789602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.26 % (789602)CaDiCaL version: 2.1.3
% 3.77/1.26 % (789602)Termination reason: Instruction limit
% 3.77/1.26 % (789602)Termination phase: Saturation
% 3.77/1.26 % (789602)Time elapsed: 0.099 s
% 3.77/1.26 % (789602)Peak memory usage: 90 MB
% 3.77/1.26 % (789602)Instructions burned: 295 (million)
% 3.77/1.26 % (789596)Instruction limit reached!
% 3.77/1.26 % (789596)------------------------------
% 3.77/1.26 % (789596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.26 % (789596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.26 % (789596)CaDiCaL version: 2.1.3
% 3.77/1.26 % (789596)Termination reason: Instruction limit
% 3.77/1.26 % (789596)Termination phase: Saturation
% 3.77/1.26 % (789596)Time elapsed: 0.220 s
% 3.77/1.26 % (789596)Peak memory usage: 93 MB
% 3.77/1.26 % (789596)Instructions burned: 325 (million)
% 3.77/1.26 % (789595)Refutation found. Thanks to Tanya!
% 3.77/1.26 % SZS status Theorem for theBenchmark
% 3.77/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 4.56/1.46 % (789595)------------------------------
% 4.56/1.46 % (789595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.46 % (789595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.46 % (789595)CaDiCaL version: 2.1.3
% 4.56/1.46 % (789595)Termination reason: Refutation
% 4.56/1.46 % (789595)Time elapsed: 0.008 s
% 4.56/1.46 % (789595)Peak memory usage: 90 MB
% 4.56/1.46 % (789595)Instructions burned: 9 (million)
% 4.56/1.46 % (789595)------------------------------
% 4.56/1.46 % (789595)------------------------------
% 4.56/1.46 % (789575)Success in time 0.594 s
% 4.56/1.46 % Vampire exiting
%------------------------------------------------------------------------------