%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU200+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 : 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 12:47:42 PM UTC 2026
% Result : Theorem 2.74s 1.37s
% Output : Refutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 9 unt; 1 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 59 ( 27 ~; 19 |; 5 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 24 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f61,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f114,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng_restriction(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_relat_1) ).
fof(f115,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t118_relat_1) ).
fof(f116,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
inference(negated_conjecture,[status(cth)],[f115]) ).
fof(f129,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
=> ( subset(relation_dom(X0),relation_dom(X1))
& subset(relation_rng(X0),relation_rng(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_relat_1) ).
fof(f237,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f276,plain,
! [X0,X1] :
( subset(relation_rng_restriction(X0,X1),X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f114]) ).
fof(f277,plain,
? [X0,X1] :
( ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
& relation(X1) ),
inference(ennf_transformation,[],[f116]) ).
fof(f292,plain,
! [X0] :
( ! [X1] :
( ( subset(relation_dom(X0),relation_dom(X1))
& subset(relation_rng(X0),relation_rng(X1)) )
| ~ subset(X0,X1)
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f129]) ).
fof(f293,plain,
! [X0] :
( ! [X1] :
( ( subset(relation_dom(X0),relation_dom(X1))
& subset(relation_rng(X0),relation_rng(X1)) )
| ~ subset(X0,X1)
| ~ relation(X1) )
| ~ relation(X0) ),
inference(flattening,[],[f292]) ).
fof(f450,plain,
( ~ subset(relation_rng(relation_rng_restriction(sK53,sK54)),relation_rng(sK54))
& relation(sK54) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54]),skolemize(X0,sK53),skolemize(X1,sK54)],[f277]) ).
fof(f613,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f237]) ).
fof(f685,plain,
! [X0,X1] :
( subset(relation_rng_restriction(X0,X1),X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f276]) ).
fof(f686,plain,
relation(sK54),
inference(cnf_transformation,[],[f450]) ).
fof(f687,plain,
~ subset(relation_rng(relation_rng_restriction(sK53,sK54)),relation_rng(sK54)),
inference(cnf_transformation,[],[f450]) ).
fof(f704,plain,
! [X0,X1] :
( subset(relation_rng(X0),relation_rng(X1))
| ~ subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f1501,plain,
( ~ subset(relation_rng_restriction(sK53,sK54),sK54)
| ~ relation(sK54)
| ~ relation(relation_rng_restriction(sK53,sK54)) ),
inference(resolution,[],[f704,f687]) ).
fof(f1516,definition,
( spl63_11
<=> relation(relation_rng_restriction(sK53,sK54)) ),
introduced(definition,[new_symbols(definition,[spl63_11])],[avatar_definition]) ).
fof(f1518,plain,
( ~ relation(relation_rng_restriction(sK53,sK54))
| spl63_11 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f1523,plain,
( ~ relation(sK54)
| ~ relation(relation_rng_restriction(sK53,sK54)) ),
inference(forward_subsumption_resolution,[],[f1501,f685]) ).
fof(f1524,plain,
~ relation(relation_rng_restriction(sK53,sK54)),
inference(forward_subsumption_resolution,[],[f1523,f686]) ).
fof(f1525,plain,
~ spl63_11,
inference(avatar_split_clause,[],[f1524,f1516]) ).
fof(f1526,plain,
( ~ relation(sK54)
| spl63_11 ),
inference(resolution,[],[f1518,f613]) ).
fof(f1529,plain,
( $false
| spl63_11 ),
inference(forward_subsumption_resolution,[],[f1526,f686]) ).
fof(f1530,plain,
spl63_11,
inference(avatar_contradiction_clause,[],[f1529]) ).
cnf(s7,plain,
~ spl63_11,
inference(sat_conversion,[],[f1525]) ).
cnf(s8,plain,
spl63_11,
inference(sat_conversion,[],[f1530]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s7,s8]) ).
fof(f1531,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU200+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 04:01:34 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 2.74/1.37 % (4011350)Detected formulas, will run a generic FOF schedule.
% 2.74/1.37 % (4011360)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=241897941:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.74/1.37 % (4011360)First to succeed.
% 2.74/1.37 % (4011360)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4011350"
% 2.74/1.37 % (4011358)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1787888564:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.74/1.37 % (4011356)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=31303817:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.74/1.37 % (4011357)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=1851092106:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.74/1.37 % (4011355)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=2915388051:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.74/1.37 % (4011359)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3368906597:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.74/1.37 % (4011361)dis-21_1_sil=8000:lcm=predicate:random_seed=2826193141: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)
% 2.74/1.37 % (4011359)Also succeeded, but the first one will report.
% 2.74/1.37 % (4011358)Also succeeded, but the first one will report.
% 2.74/1.37 % (4011361)Instruction limit reached!
% 2.74/1.37 % (4011361)------------------------------
% 2.74/1.37 % (4011361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.37 % (4011361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.37 % (4011361)CaDiCaL version: 2.1.3
% 2.74/1.37 % (4011361)Termination reason: Instruction limit
% 2.74/1.37 % (4011361)Termination phase: Saturation
% 2.74/1.37 % (4011361)Time elapsed: 0.077 s
% 2.74/1.37 % (4011361)Peak memory usage: 90 MB
% 2.74/1.37 % (4011361)Instructions burned: 130 (million)
% 2.74/1.37 % (4011360)Refutation found. Thanks to Tanya!
% 2.74/1.37 % SZS status Theorem for theBenchmark
% 2.74/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 2.74/1.37 % (4011360)------------------------------
% 2.74/1.37 % (4011360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.37 % (4011360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.37 % (4011360)CaDiCaL version: 2.1.3
% 2.74/1.37 % (4011360)Termination reason: Refutation
% 2.74/1.37 % (4011360)Time elapsed: 0.017 s
% 2.74/1.37 % (4011360)Peak memory usage: 90 MB
% 2.74/1.37 % (4011360)Instructions burned: 39 (million)
% 2.74/1.37 % (4011360)------------------------------
% 2.74/1.37 % (4011360)------------------------------
% 2.74/1.37 % (4011350)Success in time 0.314 s
% 2.74/1.37 % Vampire exiting
%------------------------------------------------------------------------------