%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU303+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 12:52:47 PM UTC 2026
% Result : Theorem 1.31s 0.69s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 60 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 26 ~; 20 |; 9 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 17 ( 15 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f277,axiom,
! [X0] :
( relation(X0)
=> relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t146_relat_1) ).
fof(f288,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( finite(X0)
=> finite(relation_image(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_finset_1) ).
fof(f318,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_finset_1) ).
fof(f319,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f318]) ).
fof(f701,plain,
! [X0] :
( relation_image(X0,relation_dom(X0)) = relation_rng(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f277]) ).
fof(f717,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ finite(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f288]) ).
fof(f718,plain,
! [X0,X1] :
( finite(relation_image(X1,X0))
| ~ finite(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f717]) ).
fof(f763,plain,
? [X0] :
( ~ finite(relation_rng(X0))
& finite(relation_dom(X0))
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f319]) ).
fof(f764,plain,
? [X0] :
( ~ finite(relation_rng(X0))
& finite(relation_dom(X0))
& relation(X0)
& function(X0) ),
inference(flattening,[],[f763]) ).
fof(f2003,plain,
! [X0] :
( ~ relation(X0)
| relation_rng(X0) = relation_image(X0,relation_dom(X0)) ),
inference(cnf_transformation,[],[f701]) ).
fof(f2019,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ finite(X0)
| finite(relation_image(X1,X0)) ),
inference(cnf_transformation,[],[f718]) ).
fof(f2061,plain,
function(sK309),
inference(cnf_transformation,[],[f764]) ).
fof(f2062,plain,
relation(sK309),
inference(cnf_transformation,[],[f764]) ).
fof(f2063,plain,
finite(relation_dom(sK309)),
inference(cnf_transformation,[],[f764]) ).
fof(f2064,plain,
~ finite(relation_rng(sK309)),
inference(cnf_transformation,[],[f764]) ).
fof(f3351,plain,
! [X0,X1] :
( ~ finite(relation_image(X1,X0))
| ~ relation(X1)
| finite(X0)
| ~ function(X1) ),
inference(consistent_polarity_flipping,[],[f2019]) ).
fof(f3368,plain,
finite(relation_rng(sK309)),
inference(consistent_polarity_flipping,[],[f2064]) ).
fof(f3369,plain,
~ finite(relation_dom(sK309)),
inference(consistent_polarity_flipping,[],[f2063]) ).
fof(f5115,plain,
relation_rng(sK309) = relation_image(sK309,relation_dom(sK309)),
inference(resolution,[],[f2003,f2062]) ).
fof(f6166,plain,
( ~ finite(relation_rng(sK309))
| ~ relation(sK309)
| finite(relation_dom(sK309))
| ~ function(sK309) ),
inference(superposition,[],[f3351,f5115]) ).
fof(f6168,plain,
( ~ relation(sK309)
| finite(relation_dom(sK309))
| ~ function(sK309) ),
inference(forward_subsumption_resolution,[],[f6166,f3368]) ).
fof(f6169,plain,
( finite(relation_dom(sK309))
| ~ function(sK309) ),
inference(forward_subsumption_resolution,[],[f6168,f2062]) ).
fof(f6170,plain,
~ function(sK309),
inference(forward_subsumption_resolution,[],[f6169,f3369]) ).
fof(f6171,plain,
$false,
inference(forward_subsumption_resolution,[],[f6170,f2061]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU303+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.42 % Computer : n015.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Mon Sep 28 04:40:48 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.45 Running first-order model finding
% 0.15/0.45 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.31/0.69 % (2260204)Will run a generic schedule for satisfiability detection.
% 1.31/0.69 % (2260214)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2930094723:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.31/0.69 % (2260210)% WARNING: option uhcvi not known.
% 1.31/0.69 % (2260210)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3386948778:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.31/0.69 % (2260209)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4092929702_2999 on theBenchmark for (2999ds/0Mi)
% 1.31/0.69 % (2260211)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=814914219:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.31/0.69 % (2260213)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3890493090:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.31/0.69 % (2260212)dis+10_1_sil=32000:sp=arity:random_seed=4235623833:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.31/0.69 % (2260215)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2607050715:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.31/0.69 % (2260214)Instruction limit reached!
% 1.31/0.69 % (2260214)------------------------------
% 1.31/0.69 % (2260214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.69 % (2260214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.69 % (2260214)CaDiCaL version: 2.1.3
% 1.31/0.69 % (2260214)Termination reason: Instruction limit
% 1.31/0.69 % (2260214)Termination phase: Saturation
% 1.31/0.69 % (2260214)Time elapsed: 0.043 s
% 1.31/0.69 % (2260214)Peak memory usage: 15 MB
% 1.31/0.69 % (2260214)Instructions burned: 135 (million)
% 1.31/0.69 % (2260225)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=822353493:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.31/0.69 % TRYING [1]
% 1.31/0.69 % TRYING [2]
% 1.31/0.69 % (2260212)Instruction limit reached!
% 1.31/0.69 % (2260212)------------------------------
% 1.31/0.69 % (2260212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.69 % (2260212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.69 % (2260212)CaDiCaL version: 2.1.3
% 1.31/0.69 % (2260212)Termination reason: Instruction limit
% 1.31/0.69 % (2260212)Termination phase: Saturation
% 1.31/0.69 % (2260212)Time elapsed: 0.103 s
% 1.31/0.69 % (2260212)Peak memory usage: 14 MB
% 1.31/0.69 % (2260212)Instructions burned: 103 (million)
% 1.31/0.69 % (2260213)Instruction limit reached!
% 1.31/0.69 % (2260213)------------------------------
% 1.31/0.69 % (2260213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.69 % (2260213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.69 % (2260213)CaDiCaL version: 2.1.3
% 1.31/0.69 % (2260213)Termination reason: Instruction limit
% 1.31/0.69 % (2260213)Termination phase: Saturation
% 1.31/0.69 % (2260213)Time elapsed: 0.104 s
% 1.31/0.69 % (2260213)Peak memory usage: 13 MB
% 1.31/0.69 % (2260213)Instructions burned: 116 (million)
% 1.31/0.69 % (2260227)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2298064123:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.31/0.69 % (2260228)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2861678330:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.31/0.69 % (2260210) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2260204-2260210"...
% 1.31/0.69 % (2260210)...printing done.
% 1.31/0.69 % (2260210)Refutation found. Thanks to Tanya!
% 1.31/0.69 % SZS status Theorem for theBenchmark
% 1.31/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 1.31/0.69 % (2260210)------------------------------
% 1.31/0.69 % (2260210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.31/0.69 % (2260210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.31/0.69 % (2260210)CaDiCaL version: 2.1.3
% 1.31/0.69 % (2260210)Termination reason: Refutation
% 1.31/0.69 % (2260210)Time elapsed: 0.167 s
% 1.31/0.69 % (2260210)Peak memory usage: 15 MB
% 1.31/0.69 % (2260210)Instructions burned: 159 (million)
% 1.31/0.69 % (2260204)Success in time 0.223 s
% 1.31/0.69 % Vampire exiting
%------------------------------------------------------------------------------