%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU225+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:47:51 PM UTC 2026
% Result : Theorem 2.54s 1.28s
% Output : Refutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 70 ( 13 unt; 4 def)
% Number of atoms : 221 ( 33 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 245 ( 94 ~; 98 |; 29 &)
% ( 12 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn 66 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,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/sandbox2/benchmark/theBenchmark.p',d4_funct_1) ).
fof(f69,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f91,axiom,
! [X0,X1] :
( ( relation(X0)
& function(X0) )
=> ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_funct_1) ).
fof(f221,axiom,
! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_funct_1) ).
fof(f223,conjecture,
! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,X0)
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t72_funct_1) ).
fof(f224,negated_conjecture,
~ ! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,X0)
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
inference(negated_conjecture,[status(cth)],[f223]) ).
fof(f229,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_dom(relation_dom_restriction(X2,X1)))
<=> ( in(X0,X1)
& in(X0,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t86_relat_1) ).
fof(f270,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,[],[f28]) ).
fof(f271,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,[],[f270]) ).
fof(f295,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f313,plain,
! [X0,X1] :
( ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f314,plain,
! [X0,X1] :
( ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f313]) ).
fof(f442,plain,
! [X0,X1,X2] :
( apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1)
| ~ in(X1,relation_dom(relation_dom_restriction(X2,X0)))
| ~ relation(X2)
| ~ function(X2) ),
inference(ennf_transformation,[],[f221]) ).
fof(f443,plain,
! [X0,X1,X2] :
( apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1)
| ~ in(X1,relation_dom(relation_dom_restriction(X2,X0)))
| ~ relation(X2)
| ~ function(X2) ),
inference(flattening,[],[f442]) ).
fof(f444,plain,
? [X0,X1,X2] :
( apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1)
& in(X1,X0)
& relation(X2)
& function(X2) ),
inference(ennf_transformation,[],[f224]) ).
fof(f445,plain,
? [X0,X1,X2] :
( apply(relation_dom_restriction(X2,X0),X1) != apply(X2,X1)
& in(X1,X0)
& relation(X2)
& function(X2) ),
inference(flattening,[],[f444]) ).
fof(f448,plain,
! [X0,X1,X2] :
( ( in(X0,relation_dom(relation_dom_restriction(X2,X1)))
<=> ( in(X0,X1)
& in(X0,relation_dom(X2)) ) )
| ~ relation(X2) ),
inference(ennf_transformation,[],[f229]) ).
fof(f525,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,[],[f271]) ).
fof(f616,plain,
( apply(relation_dom_restriction(sK80,sK78),sK79) != apply(sK80,sK79)
& in(sK79,sK78)
& relation(sK80)
& function(sK80) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK78,sK79,sK80]),skolemize(X0,sK78),skolemize(X1,sK79),skolemize(X2,sK80)],[f445]) ).
fof(f620,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_dom(relation_dom_restriction(X2,X1)))
| ~ in(X0,X1)
| ~ in(X0,relation_dom(X2)) )
& ( ( in(X0,X1)
& in(X0,relation_dom(X2)) )
| ~ in(X0,relation_dom(relation_dom_restriction(X2,X1))) ) )
| ~ relation(X2) ),
inference(nnf_transformation,[],[f448]) ).
fof(f621,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_dom(relation_dom_restriction(X2,X1)))
| ~ in(X0,X1)
| ~ in(X0,relation_dom(X2)) )
& ( ( in(X0,X1)
& in(X0,relation_dom(X2)) )
| ~ in(X0,relation_dom(relation_dom_restriction(X2,X1))) ) )
| ~ relation(X2) ),
inference(flattening,[],[f620]) ).
fof(f730,plain,
! [X2,X0,X1] :
( apply(X0,X1) = X2
| empty_set != X2
| in(X1,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f525]) ).
fof(f791,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f819,plain,
! [X0,X1] :
( function(relation_dom_restriction(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f1028,plain,
! [X2,X0,X1] :
( apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1)
| ~ in(X1,relation_dom(relation_dom_restriction(X2,X0)))
| ~ relation(X2)
| ~ function(X2) ),
inference(cnf_transformation,[],[f443]) ).
fof(f1031,plain,
function(sK80),
inference(cnf_transformation,[],[f616]) ).
fof(f1032,plain,
relation(sK80),
inference(cnf_transformation,[],[f616]) ).
fof(f1033,plain,
in(sK79,sK78),
inference(cnf_transformation,[],[f616]) ).
fof(f1034,plain,
apply(relation_dom_restriction(sK80,sK78),sK79) != apply(sK80,sK79),
inference(cnf_transformation,[],[f616]) ).
fof(f1044,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(X2))
| ~ in(X0,X1)
| in(X0,relation_dom(relation_dom_restriction(X2,X1)))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f621]) ).
fof(f1112,plain,
! [X0,X1] :
( empty_set = apply(X0,X1)
| in(X1,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f730]) ).
fof(f1188,plain,
( empty_set != apply(sK80,sK79)
| in(sK79,relation_dom(relation_dom_restriction(sK80,sK78)))
| ~ relation(relation_dom_restriction(sK80,sK78))
| ~ function(relation_dom_restriction(sK80,sK78)) ),
inference(superposition,[],[f1034,f1112]) ).
fof(f1192,definition,
( spl83_1
<=> function(relation_dom_restriction(sK80,sK78)) ),
introduced(definition,[new_symbols(definition,[spl83_1])],[avatar_definition]) ).
fof(f1194,plain,
( ~ function(relation_dom_restriction(sK80,sK78))
| spl83_1 ),
inference(avatar_component_clause,[],[f1192]) ).
fof(f1196,definition,
( spl83_2
<=> relation(relation_dom_restriction(sK80,sK78)) ),
introduced(definition,[new_symbols(definition,[spl83_2])],[avatar_definition]) ).
fof(f1198,plain,
( ~ relation(relation_dom_restriction(sK80,sK78))
| spl83_2 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f1200,definition,
( spl83_3
<=> in(sK79,relation_dom(relation_dom_restriction(sK80,sK78))) ),
introduced(definition,[new_symbols(definition,[spl83_3])],[avatar_definition]) ).
fof(f1202,plain,
( in(sK79,relation_dom(relation_dom_restriction(sK80,sK78)))
| ~ spl83_3 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1204,definition,
( spl83_4
<=> empty_set = apply(sK80,sK79) ),
introduced(definition,[new_symbols(definition,[spl83_4])],[avatar_definition]) ).
fof(f1206,plain,
( empty_set != apply(sK80,sK79)
| spl83_4 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f1207,plain,
( ~ spl83_1
| ~ spl83_2
| spl83_3
| ~ spl83_4 ),
inference(avatar_split_clause,[],[f1188,f1204,f1200,f1196,f1192]) ).
fof(f1213,plain,
( ~ relation(sK80)
| ~ function(sK80)
| spl83_1 ),
inference(resolution,[],[f1194,f819]) ).
fof(f1215,plain,
( ~ function(sK80)
| spl83_1 ),
inference(forward_subsumption_resolution,[],[f1213,f1032]) ).
fof(f1216,plain,
( $false
| spl83_1 ),
inference(forward_subsumption_resolution,[],[f1215,f1031]) ).
fof(f1217,plain,
spl83_1,
inference(avatar_contradiction_clause,[],[f1216]) ).
fof(f1218,plain,
( ~ relation(sK80)
| spl83_2 ),
inference(resolution,[],[f1198,f791]) ).
fof(f1220,plain,
( $false
| spl83_2 ),
inference(forward_subsumption_resolution,[],[f1218,f1032]) ).
fof(f1221,plain,
spl83_2,
inference(avatar_contradiction_clause,[],[f1220]) ).
fof(f1231,plain,
( empty_set != empty_set
| in(sK79,relation_dom(sK80))
| ~ relation(sK80)
| ~ function(sK80)
| spl83_4 ),
inference(superposition,[],[f1206,f1112]) ).
fof(f1232,plain,
( in(sK79,relation_dom(sK80))
| ~ relation(sK80)
| ~ function(sK80)
| spl83_4 ),
inference(trivial_inequality_removal,[],[f1231]) ).
fof(f1233,plain,
( in(sK79,relation_dom(sK80))
| ~ function(sK80)
| spl83_4 ),
inference(forward_subsumption_resolution,[],[f1232,f1032]) ).
fof(f1234,plain,
( in(sK79,relation_dom(sK80))
| spl83_4 ),
inference(forward_subsumption_resolution,[],[f1233,f1031]) ).
fof(f1235,plain,
( ! [X0] :
( ~ in(sK79,X0)
| in(sK79,relation_dom(relation_dom_restriction(sK80,X0)))
| ~ relation(sK80) )
| spl83_4 ),
inference(resolution,[],[f1234,f1044]) ).
fof(f1237,plain,
( ! [X0] :
( ~ in(sK79,X0)
| in(sK79,relation_dom(relation_dom_restriction(sK80,X0))) )
| spl83_4 ),
inference(forward_subsumption_resolution,[],[f1235,f1032]) ).
fof(f1278,plain,
( in(sK79,relation_dom(relation_dom_restriction(sK80,sK78)))
| spl83_4 ),
inference(resolution,[],[f1237,f1033]) ).
fof(f1282,plain,
( spl83_3
| spl83_4 ),
inference(avatar_split_clause,[],[f1278,f1204,f1200]) ).
fof(f1378,plain,
( apply(sK80,sK79) != apply(sK80,sK79)
| ~ in(sK79,relation_dom(relation_dom_restriction(sK80,sK78)))
| ~ relation(sK80)
| ~ function(sK80) ),
inference(superposition,[],[f1034,f1028]) ).
fof(f1380,plain,
( ~ in(sK79,relation_dom(relation_dom_restriction(sK80,sK78)))
| ~ relation(sK80)
| ~ function(sK80) ),
inference(trivial_inequality_removal,[],[f1378]) ).
fof(f1381,plain,
( ~ relation(sK80)
| ~ function(sK80)
| ~ spl83_3 ),
inference(forward_subsumption_resolution,[],[f1380,f1202]) ).
fof(f1382,plain,
( ~ function(sK80)
| ~ spl83_3 ),
inference(forward_subsumption_resolution,[],[f1381,f1032]) ).
fof(f1383,plain,
( $false
| ~ spl83_3 ),
inference(forward_subsumption_resolution,[],[f1382,f1031]) ).
fof(f1384,plain,
~ spl83_3,
inference(avatar_contradiction_clause,[],[f1383]) ).
cnf(s1,plain,
( ~ spl83_1
| ~ spl83_2
| spl83_3
| ~ spl83_4 ),
inference(sat_conversion,[],[f1207]) ).
cnf(s2,plain,
spl83_1,
inference(sat_conversion,[],[f1217]) ).
cnf(s3,plain,
spl83_2,
inference(sat_conversion,[],[f1221]) ).
cnf(s5,plain,
( spl83_3
| spl83_4 ),
inference(sat_conversion,[],[f1282]) ).
cnf(s14,plain,
~ spl83_3,
inference(sat_conversion,[],[f1384]) ).
cnf(s19,plain,
spl83_4,
inference(rat,[],[s5,s14]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s1,s19,s14,s3,s2]) ).
fof(f1385,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU225+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n016.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 : Mon Sep 28 04:14:48 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.54/1.28 % (3251396)Detected formulas, will run a generic FOF schedule.
% 2.54/1.28 % (3251403)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=4238466057:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.54/1.28 % (3251401)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=3217705720:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.54/1.28 % (3251404)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2236984826:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.54/1.28 % (3251407)dis-21_1_sil=8000:lcm=predicate:random_seed=3800596230: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)
% 2.54/1.28 % (3251402)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=2164775354:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.54/1.28 % (3251405)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=418581329:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.54/1.28 % (3251406)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1835190842:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.54/1.28 % (3251406)First to succeed.
% 2.54/1.28 % (3251406)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3251396"
% 2.54/1.28 % (3251404)Instruction limit reached!
% 2.54/1.28 % (3251404)------------------------------
% 2.54/1.28 % (3251404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.28 % (3251404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.28 % (3251404)CaDiCaL version: 2.1.3
% 2.54/1.28 % (3251404)Termination reason: Instruction limit
% 2.54/1.28 % (3251404)Termination phase: Saturation
% 2.54/1.28 % (3251404)Time elapsed: 0.072 s
% 2.54/1.28 % (3251404)Peak memory usage: 90 MB
% 2.54/1.28 % (3251404)Instructions burned: 109 (million)
% 2.54/1.28 % (3251407)Instruction limit reached!
% 2.54/1.28 % (3251407)------------------------------
% 2.54/1.28 % (3251407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.28 % (3251407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.28 % (3251407)CaDiCaL version: 2.1.3
% 2.54/1.28 % (3251407)Termination reason: Instruction limit
% 2.54/1.28 % (3251407)Termination phase: Saturation
% 2.54/1.28 % (3251407)Time elapsed: 0.074 s
% 2.54/1.28 % (3251407)Peak memory usage: 90 MB
% 2.54/1.28 % (3251407)Instructions burned: 129 (million)
% 2.54/1.28 % (3251405)Instruction limit reached!
% 2.54/1.28 % (3251405)------------------------------
% 2.54/1.28 % (3251405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.28 % (3251405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.28 % (3251405)CaDiCaL version: 2.1.3
% 2.54/1.28 % (3251405)Termination reason: Instruction limit
% 2.54/1.28 % (3251405)Termination phase: Saturation
% 2.54/1.28 % (3251405)Time elapsed: 0.082 s
% 2.54/1.28 % (3251405)Peak memory usage: 89 MB
% 2.54/1.28 % (3251405)Instructions burned: 120 (million)
% 2.54/1.28 % (3251415)lrs+10_1_sil=8000:sp=occurrence:random_seed=2134464542:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.54/1.28 % (3251416)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2087285330:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.54/1.28 % (3251417)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2385935129:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.54/1.28 % (3251416)Also succeeded, but the first one will report.
% 2.54/1.28 % (3251406)Refutation found. Thanks to Tanya!
% 2.54/1.28 % SZS status Theorem for theBenchmark
% 2.54/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.48/1.37 % (3251406)------------------------------
% 3.48/1.37 % (3251406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.37 % (3251406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.37 % (3251406)CaDiCaL version: 2.1.3
% 3.48/1.37 % (3251406)Termination reason: Refutation
% 3.48/1.37 % (3251406)Time elapsed: 0.022 s
% 3.48/1.37 % (3251406)Peak memory usage: 90 MB
% 3.48/1.37 % (3251406)Instructions burned: 31 (million)
% 3.48/1.37 % (3251406)------------------------------
% 3.48/1.37 % (3251406)------------------------------
% 3.48/1.37 % (3251396)Success in time 0.431 s
% 3.48/1.37 % Vampire exiting
%------------------------------------------------------------------------------