%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU248+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 : n004.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 12:52:35 PM UTC 2026
% Result : Theorem 0.15s 0.54s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 52 ( 20 ~; 21 |; 4 &)
% ( 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 : 32 ( 30 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f101,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f146,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l29_wellord1) ).
fof(f147,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ),
inference(negated_conjecture,[status(cth)],[f146]) ).
fof(f186,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng_restriction(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_relat_1) ).
fof(f223,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(f395,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f101]) ).
fof(f436,plain,
? [X0,X1] :
( ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
& relation(X1) ),
inference(ennf_transformation,[],[f147]) ).
fof(f462,plain,
! [X0,X1] :
( subset(relation_rng_restriction(X0,X1),X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f186]) ).
fof(f512,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,[],[f223]) ).
fof(f513,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,[],[f512]) ).
fof(f874,plain,
! [X0,X1] :
( ~ relation(X1)
| relation(relation_rng_restriction(X0,X1)) ),
inference(cnf_transformation,[],[f395]) ).
fof(f945,plain,
relation(sK79),
inference(cnf_transformation,[],[f436]) ).
fof(f946,plain,
~ subset(relation_dom(relation_rng_restriction(sK78,sK79)),relation_dom(sK79)),
inference(cnf_transformation,[],[f436]) ).
fof(f1033,plain,
! [X0,X1] :
( ~ relation(X1)
| subset(relation_rng_restriction(X0,X1),X1) ),
inference(cnf_transformation,[],[f462]) ).
fof(f1085,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ relation(X1)
| ~ subset(X0,X1)
| subset(relation_dom(X0),relation_dom(X1)) ),
inference(cnf_transformation,[],[f513]) ).
fof(f1689,plain,
! [X0,X1] :
( ~ relation(relation_rng_restriction(X0,X1))
| relation(X1) ),
inference(consistent_polarity_flipping,[],[f874]) ).
fof(f1727,plain,
subset(relation_dom(relation_rng_restriction(sK78,sK79)),relation_dom(sK79)),
inference(consistent_polarity_flipping,[],[f946]) ).
fof(f1728,plain,
~ relation(sK79),
inference(consistent_polarity_flipping,[],[f945]) ).
fof(f1776,plain,
! [X0,X1] :
( ~ subset(relation_rng_restriction(X0,X1),X1)
| relation(X1) ),
inference(consistent_polarity_flipping,[],[f1033]) ).
fof(f1820,plain,
! [X0,X1] :
( ~ subset(relation_dom(X0),relation_dom(X1))
| relation(X1)
| subset(X0,X1)
| relation(X0) ),
inference(consistent_polarity_flipping,[],[f1085]) ).
fof(f4399,plain,
( relation(sK79)
| subset(relation_rng_restriction(sK78,sK79),sK79)
| relation(relation_rng_restriction(sK78,sK79)) ),
inference(resolution,[],[f1820,f1727]) ).
fof(f4425,plain,
( relation(sK79)
| relation(relation_rng_restriction(sK78,sK79)) ),
inference(forward_subsumption_resolution,[],[f4399,f1776]) ).
fof(f4426,plain,
relation(sK79),
inference(forward_subsumption_resolution,[],[f4425,f1689]) ).
fof(f4427,plain,
$false,
inference(forward_subsumption_resolution,[],[f4426,f1728]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU248+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n004.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 04:19:07 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.15/0.54 % (4142593)Will run a generic schedule for satisfiability detection.
% 0.15/0.54 % (4142602)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1672786053:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.54 % (4142599)% WARNING: option uhcvi not known.
% 0.15/0.54 % (4142600)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=828907170:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.54 % (4142598)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1812718752_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.54 % (4142599)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1827732850:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.54 % (4142601)dis+10_1_sil=32000:sp=arity:random_seed=3246074851:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.54 % (4142603)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1556542153:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.54 % (4142604)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4272041514:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.54 % (4142602)Instruction limit reached!
% 0.15/0.54 % (4142602)------------------------------
% 0.15/0.54 % (4142602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.54 % (4142602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.54 % (4142602)CaDiCaL version: 2.1.3
% 0.15/0.54 % (4142602)Termination reason: Instruction limit
% 0.15/0.54 % (4142602)Termination phase: Saturation
% 0.15/0.54 % (4142602)Time elapsed: 0.039 s
% 0.15/0.54 % (4142602)Peak memory usage: 14 MB
% 0.15/0.54 % (4142602)Instructions burned: 116 (million)
% 0.15/0.54 % (4142612)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1392668389:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.15/0.54 % (4142601)Instruction limit reached!
% 0.15/0.54 % (4142601)------------------------------
% 0.15/0.54 % (4142601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.54 % (4142601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.54 % (4142601)CaDiCaL version: 2.1.3
% 0.15/0.54 % (4142601)Termination reason: Instruction limit
% 0.15/0.54 % (4142601)Termination phase: Saturation
% 0.15/0.54 % (4142601)Time elapsed: 0.067 s
% 0.15/0.54 % (4142601)Peak memory usage: 13 MB
% 0.15/0.54 % (4142601)Instructions burned: 103 (million)
% 0.15/0.54 % TRYING [1]
% 0.15/0.54 % (4142603)Instruction limit reached!
% 0.15/0.54 % (4142603)------------------------------
% 0.15/0.54 % (4142603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.54 % (4142603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.54 % (4142603)CaDiCaL version: 2.1.3
% 0.15/0.54 % (4142603)Termination reason: Instruction limit
% 0.15/0.54 % (4142603)Termination phase: Saturation
% 0.15/0.54 % (4142603)Time elapsed: 0.068 s
% 0.15/0.54 % (4142603)Peak memory usage: 14 MB
% 0.15/0.54 % (4142603)Instructions burned: 132 (million)
% 0.15/0.54 % TRYING [2]
% 0.15/0.54 % TRYING [1]
% 0.15/0.54 % TRYING [2]
% 0.15/0.54 % (4142599) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4142593-4142599"...
% 0.15/0.54 % (4142599)...printing done.
% 0.15/0.54 % (4142599)Refutation found. Thanks to Tanya!
% 0.15/0.54 % SZS status Theorem for theBenchmark
% 0.15/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.54 % (4142599)------------------------------
% 0.15/0.54 % (4142599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.54 % (4142599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.54 % (4142599)CaDiCaL version: 2.1.3
% 0.15/0.54 % (4142599)Termination reason: Refutation
% 0.15/0.54 % (4142599)Time elapsed: 0.081 s
% 0.15/0.54 % (4142599)Peak memory usage: 14 MB
% 0.15/0.54 % (4142599)Instructions burned: 119 (million)
% 0.15/0.54 % (4142593)Success in time 0.126 s
% 0.15/0.54 % Vampire exiting
%------------------------------------------------------------------------------