%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU096+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 12:51:55 PM UTC 2026
% Result : Theorem 0.07s 0.36s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 85 ( 8 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 93 ( 38 ~; 33 |; 15 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 24 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0,X1] :
( ( relation(X0)
& function(X0)
& finite(X1) )
=> finite(relation_image(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc13_finset_1) ).
fof(f50,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( subset(X0,relation_rng(X1))
=> relation_image(X1,relation_inverse_image(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t147_funct_1) ).
fof(f53,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( ( subset(X0,relation_rng(X1))
& finite(relation_inverse_image(X1,X0)) )
=> finite(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_finset_1) ).
fof(f54,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( ( subset(X0,relation_rng(X1))
& finite(relation_inverse_image(X1,X0)) )
=> finite(X0) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f100,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ finite(X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f101,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ finite(X1) ),
inference(flattening,[],[f100]) ).
fof(f107,plain,
! [X0,X1] :
( relation_image(X1,relation_inverse_image(X1,X0)) = X0
| ~ subset(X0,relation_rng(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f108,plain,
! [X0,X1] :
( relation_image(X1,relation_inverse_image(X1,X0)) = X0
| ~ subset(X0,relation_rng(X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f107]) ).
fof(f112,plain,
? [X0,X1] :
( ~ finite(X0)
& subset(X0,relation_rng(X1))
& finite(relation_inverse_image(X1,X0))
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f113,plain,
? [X0,X1] :
( ~ finite(X0)
& subset(X0,relation_rng(X1))
& finite(relation_inverse_image(X1,X0))
& relation(X1)
& function(X1) ),
inference(flattening,[],[f112]) ).
fof(f143,plain,
! [X0,X1] :
( ~ finite(X1)
| ~ function(X0)
| ~ relation(X0)
| finite(relation_image(X0,X1)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f230,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ~ subset(X0,relation_rng(X1))
| relation_image(X1,relation_inverse_image(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f108]) ).
fof(f233,plain,
function(sK27),
inference(cnf_transformation,[],[f113]) ).
fof(f234,plain,
relation(sK27),
inference(cnf_transformation,[],[f113]) ).
fof(f235,plain,
finite(relation_inverse_image(sK27,sK26)),
inference(cnf_transformation,[],[f113]) ).
fof(f236,plain,
subset(sK26,relation_rng(sK27)),
inference(cnf_transformation,[],[f113]) ).
fof(f237,plain,
~ finite(sK26),
inference(cnf_transformation,[],[f113]) ).
fof(f257,plain,
! [X0,X1] :
( ~ finite(relation_image(X0,X1))
| ~ function(X0)
| ~ relation(X0)
| finite(X1) ),
inference(consistent_polarity_flipping,[],[f143]) ).
fof(f287,plain,
! [X0,X1] :
( subset(X0,relation_rng(X1))
| ~ relation(X1)
| ~ function(X1)
| relation_image(X1,relation_inverse_image(X1,X0)) = X0 ),
inference(consistent_polarity_flipping,[],[f230]) ).
fof(f290,plain,
finite(sK26),
inference(consistent_polarity_flipping,[],[f237]) ).
fof(f291,plain,
~ subset(sK26,relation_rng(sK27)),
inference(consistent_polarity_flipping,[],[f236]) ).
fof(f292,plain,
~ finite(relation_inverse_image(sK27,sK26)),
inference(consistent_polarity_flipping,[],[f235]) ).
fof(f435,plain,
( ~ relation(sK27)
| ~ function(sK27)
| sK26 = relation_image(sK27,relation_inverse_image(sK27,sK26)) ),
inference(resolution,[],[f287,f291]) ).
fof(f438,plain,
( ~ function(sK27)
| sK26 = relation_image(sK27,relation_inverse_image(sK27,sK26)) ),
inference(forward_subsumption_resolution,[],[f435,f234]) ).
fof(f439,plain,
sK26 = relation_image(sK27,relation_inverse_image(sK27,sK26)),
inference(forward_subsumption_resolution,[],[f438,f233]) ).
fof(f440,plain,
( ~ finite(sK26)
| ~ function(sK27)
| ~ relation(sK27)
| finite(relation_inverse_image(sK27,sK26)) ),
inference(superposition,[],[f257,f439]) ).
fof(f441,plain,
( ~ function(sK27)
| ~ relation(sK27)
| finite(relation_inverse_image(sK27,sK26)) ),
inference(forward_subsumption_resolution,[],[f440,f290]) ).
fof(f442,plain,
( ~ relation(sK27)
| finite(relation_inverse_image(sK27,sK26)) ),
inference(forward_subsumption_resolution,[],[f441,f233]) ).
fof(f443,plain,
finite(relation_inverse_image(sK27,sK26)),
inference(forward_subsumption_resolution,[],[f442,f234]) ).
fof(f444,plain,
$false,
inference(forward_subsumption_resolution,[],[f443,f292]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU096+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 28 03:32:49 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.03/0.32 Running first-order model finding
% 0.03/0.32 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
% 0.07/0.36 % (2992365)Will run a generic schedule for satisfiability detection.
% 0.07/0.36 % (2992371)% WARNING: option uhcvi not known.
% 0.07/0.36 % (2992371)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2470726127:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.36 % (2992370)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1669277800_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.36 % (2992373)dis+10_1_sil=32000:sp=arity:random_seed=2590738764:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.36 % (2992372)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1444940996:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.36 % (2992374)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1215822180:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.36 % (2992375)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1486758227:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.36 % (2992376)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=159567598:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.36 % TRYING [1]
% 0.07/0.36 % TRYING [2]
% 0.07/0.36 % TRYING [3]
% 0.07/0.36 % (2992373) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2992365-2992373"...
% 0.07/0.36 % (2992371) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2992365-2992371"...
% 0.07/0.36 % TRYING [4]
% 0.07/0.36 % (2992374) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2992365-2992374"...
% 0.07/0.36 % (2992371)...printing done.
% 0.07/0.36 % (2992373)...printing done.
% 0.07/0.36 % (2992374)...printing done.
% 0.07/0.36 % (2992371)Refutation found. Thanks to Tanya!
% 0.07/0.36 % SZS status Theorem for theBenchmark
% 0.07/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.36 % (2992371)------------------------------
% 0.07/0.36 % (2992371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.36 % (2992371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.36 % (2992371)CaDiCaL version: 2.1.3
% 0.07/0.36 % (2992371)Termination reason: Refutation
% 0.07/0.36 % (2992371)Time elapsed: 0.004 s
% 0.07/0.36 % (2992371)Peak memory usage: 12 MB
% 0.07/0.36 % (2992371)Instructions burned: 8 (million)
% 0.07/0.36 % (2992365)Success in time 0.035 s
% 0.07/0.36 % Vampire exiting
%------------------------------------------------------------------------------