%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU200+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 12:52:21 PM UTC 2026
% Result : Theorem 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 8 unt; 2 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 66 ( 29 ~; 24 |; 4 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 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(f7,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f24,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng_restriction(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_relat_1) ).
fof(f25,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(f26,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
inference(negated_conjecture,[status(cth)],[f25]) ).
fof(f28,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(f39,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f47,plain,
! [X0,X1] :
( subset(relation_rng_restriction(X0,X1),X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f48,plain,
? [X0,X1] :
( ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
& relation(X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f50,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,[],[f28]) ).
fof(f51,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,[],[f50]) ).
fof(f62,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f85,plain,
! [X0,X1] :
( subset(relation_rng_restriction(X0,X1),X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f86,plain,
relation(sK8),
inference(cnf_transformation,[],[f48]) ).
fof(f87,plain,
~ subset(relation_rng(relation_rng_restriction(sK7,sK8)),relation_rng(sK8)),
inference(cnf_transformation,[],[f48]) ).
fof(f89,plain,
! [X0,X1] :
( subset(relation_rng(X0),relation_rng(X1))
| ~ relation(X1)
| ~ subset(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f162,plain,
( ~ relation(sK8)
| ~ subset(relation_rng_restriction(sK7,sK8),sK8)
| ~ relation(relation_rng_restriction(sK7,sK8)) ),
inference(resolution,[],[f89,f87]) ).
fof(f163,plain,
( ~ subset(relation_rng_restriction(sK7,sK8),sK8)
| ~ relation(relation_rng_restriction(sK7,sK8)) ),
inference(forward_subsumption_resolution,[],[f162,f86]) ).
fof(f165,definition,
( spl9_1
<=> relation(relation_rng_restriction(sK7,sK8)) ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f167,plain,
( ~ relation(relation_rng_restriction(sK7,sK8))
| spl9_1 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f169,definition,
( spl9_2
<=> subset(relation_rng_restriction(sK7,sK8),sK8) ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
fof(f171,plain,
( ~ subset(relation_rng_restriction(sK7,sK8),sK8)
| spl9_2 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f172,plain,
( ~ spl9_1
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f163,f169,f165]) ).
fof(f173,plain,
( ~ relation(sK8)
| spl9_1 ),
inference(resolution,[],[f167,f62]) ).
fof(f174,plain,
( $false
| spl9_1 ),
inference(forward_subsumption_resolution,[],[f173,f86]) ).
fof(f175,plain,
spl9_1,
inference(avatar_contradiction_clause,[],[f174]) ).
fof(f176,plain,
( ~ relation(sK8)
| spl9_2 ),
inference(resolution,[],[f171,f85]) ).
fof(f177,plain,
( $false
| spl9_2 ),
inference(forward_subsumption_resolution,[],[f176,f86]) ).
fof(f178,plain,
spl9_2,
inference(avatar_contradiction_clause,[],[f177]) ).
cnf(s1,plain,
( ~ spl9_1
| ~ spl9_2 ),
inference(sat_conversion,[],[f172]) ).
cnf(s2,plain,
spl9_1,
inference(sat_conversion,[],[f175]) ).
cnf(s3,plain,
spl9_2,
inference(sat_conversion,[],[f178]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f179,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU200+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 04:02:54 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 % (2982992)Will run a generic schedule for satisfiability detection.
% 0.18/0.46 % (2982997)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1499465880_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.46 % TRYING [1]
% 0.18/0.46 % TRYING [2]
% 0.18/0.46 % TRYING [3]
% 0.18/0.46 % TRYING [4]
% 0.18/0.46 % TRYING [5]
% 0.18/0.46 % (2982998)% WARNING: option uhcvi not known.
% 0.18/0.46 % TRYING [6]
% 0.18/0.46 % (2982998)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=33338249:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.46 % (2982999)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3571284878:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.46 % (2983000)dis+10_1_sil=32000:sp=arity:random_seed=2888045070:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.46 % (2983002)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3874790875:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.46 % (2983001)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=183918234:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.46 % (2983003)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=974656192:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.46 % (2983000) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2982992-2983000"...
% 0.18/0.46 % TRYING [7]
% 0.18/0.46 % (2982998) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2982992-2982998"...
% 0.18/0.46 % (2983001) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2982992-2983001"...
% 0.18/0.46 % (2983000)...printing done.
% 0.18/0.46 % (2982998)...printing done.
% 0.18/0.46 % (2983001)...printing done.
% 0.18/0.46 % (2983002) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2982992-2983002"...
% 0.18/0.46 % (2982998)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Theorem for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (2982998)------------------------------
% 0.18/0.46 % (2982998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46 % (2982998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46 % (2982998)CaDiCaL version: 2.1.3
% 0.18/0.46 % (2982998)Termination reason: Refutation
% 0.18/0.46 % (2982998)Time elapsed: 0.004 s
% 0.18/0.46 % (2982998)Peak memory usage: 12 MB
% 0.18/0.46 % (2982998)Instructions burned: 4 (million)
% 0.18/0.46 % (2982992)Success in time 0.047 s
% 0.18/0.46 % Vampire exiting
%------------------------------------------------------------------------------