%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% 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 12:52:21 PM UTC 2026
% Result : Theorem 0.41s 0.50s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 5 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 52 ( 24 ~; 16 |; 5 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 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(f2799,plain,
( ~ subset(relation_rng_restriction(sK53,sK54),sK54)
| ~ relation(sK54)
| ~ relation(relation_rng_restriction(sK53,sK54)) ),
inference(resolution,[],[f704,f687]) ).
fof(f2823,plain,
( ~ relation(sK54)
| ~ relation(relation_rng_restriction(sK53,sK54)) ),
inference(forward_subsumption_resolution,[],[f2799,f685]) ).
fof(f2825,plain,
~ relation(relation_rng_restriction(sK53,sK54)),
inference(forward_subsumption_resolution,[],[f2823,f686]) ).
fof(f2826,plain,
~ relation(sK54),
inference(resolution,[],[f2825,f613]) ).
fof(f2827,plain,
$false,
inference(forward_subsumption_resolution,[],[f2826,f686]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU200+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n020.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 04:02:05 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
% 0.41/0.50 % (4012178)Will run a generic schedule for satisfiability detection.
% 0.41/0.50 % (4012188)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1809867907:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.41/0.50 % (4012183)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=436890565_2999 on theBenchmark for (2999ds/0Mi)
% 0.41/0.50 % (4012185)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1656492958:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.41/0.50 % (4012186)dis+10_1_sil=32000:sp=arity:random_seed=4044802593:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.41/0.50 % (4012187)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1369709162:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.41/0.50 % (4012189)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=464640168:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.41/0.50 % (4012184)% WARNING: option uhcvi not known.
% 0.41/0.50 % (4012184)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2170360755:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.41/0.50 % (4012188)Instruction limit reached!
% 0.41/0.50 % (4012188)------------------------------
% 0.41/0.50 % (4012188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.50 % (4012188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.50 % (4012188)CaDiCaL version: 2.1.3
% 0.41/0.50 % (4012188)Termination reason: Instruction limit
% 0.41/0.50 % (4012188)Termination phase: Saturation
% 0.41/0.50 % (4012188)Time elapsed: 0.036 s
% 0.41/0.50 % (4012188)Peak memory usage: 13 MB
% 0.41/0.50 % (4012188)Instructions burned: 133 (million)
% 0.41/0.50 % TRYING [1]
% 0.41/0.50 % TRYING [2]
% 0.41/0.50 % (4012197)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=290008956:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.41/0.50 % (4012186) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4012178-4012186"...
% 0.41/0.50 % (4012186)...printing done.
% 0.41/0.50 % (4012186)Refutation found. Thanks to Tanya!
% 0.41/0.50 % SZS status Theorem for theBenchmark
% 0.41/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.41/0.50 % (4012186)------------------------------
% 0.41/0.50 % (4012186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.50 % (4012186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.50 % (4012186)CaDiCaL version: 2.1.3
% 0.41/0.50 % (4012186)Termination reason: Refutation
% 0.41/0.50 % (4012186)Time elapsed: 0.051 s
% 0.41/0.50 % (4012186)Peak memory usage: 13 MB
% 0.41/0.50 % (4012186)Instructions burned: 74 (million)
% 0.41/0.50 % (4012178)Success in time 0.09 s
% 0.41/0.50 % Vampire exiting
%------------------------------------------------------------------------------