%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU020+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 : n016.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 12:51:48 PM UTC 2026
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 13 unt; 0 def)
% Number of atoms : 137 ( 14 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 174 ( 74 ~; 63 |; 27 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 22 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( relation_dom(relation_composition(X1,X0)) = relation_dom(X1)
=> subset(relation_rng(X1),relation_dom(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_funct_1) ).
fof(f32,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ( one_to_one(relation_composition(X1,X0))
& subset(relation_rng(X1),relation_dom(X0)) )
=> one_to_one(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_funct_1) ).
fof(f34,axiom,
! [X0] : one_to_one(identity_relation(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_funct_1) ).
fof(f35,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( ? [X1] :
( relation(X1)
& function(X1)
& relation_composition(X0,X1) = identity_relation(relation_dom(X0)) )
=> one_to_one(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_funct_1) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ( ? [X1] :
( relation(X1)
& function(X1)
& relation_composition(X0,X1) = identity_relation(relation_dom(X0)) )
=> one_to_one(X0) ) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f39,axiom,
! [X0] :
( relation_dom(identity_relation(X0)) = X0
& relation_rng(identity_relation(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t71_relat_1) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( subset(relation_rng(X1),relation_dom(X0))
| relation_dom(relation_composition(X1,X0)) != relation_dom(X1)
| ~ relation(X1)
| ~ function(X1) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( subset(relation_rng(X1),relation_dom(X0))
| relation_dom(relation_composition(X1,X0)) != relation_dom(X1)
| ~ relation(X1)
| ~ function(X1) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f64]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( one_to_one(X1)
| ~ one_to_one(relation_composition(X1,X0))
| ~ subset(relation_rng(X1),relation_dom(X0))
| ~ relation(X1)
| ~ function(X1) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( one_to_one(X1)
| ~ one_to_one(relation_composition(X1,X0))
| ~ subset(relation_rng(X1),relation_dom(X0))
| ~ relation(X1)
| ~ function(X1) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f68]) ).
fof(f72,plain,
? [X0] :
( ~ one_to_one(X0)
& ? [X1] :
( relation(X1)
& function(X1)
& relation_composition(X0,X1) = identity_relation(relation_dom(X0)) )
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f73,plain,
? [X0] :
( ~ one_to_one(X0)
& ? [X1] :
( relation(X1)
& function(X1)
& relation_composition(X0,X1) = identity_relation(relation_dom(X0)) )
& relation(X0)
& function(X0) ),
inference(flattening,[],[f72]) ).
fof(f88,plain,
( ~ one_to_one(sK9)
& relation(sK10)
& function(sK10)
& relation_composition(sK9,sK10) = identity_relation(relation_dom(sK9))
& relation(sK9)
& function(sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X0,sK9),skolemize(X1,sK10)],[f73]) ).
fof(f130,plain,
! [X0,X1] :
( relation_dom(relation_composition(X1,X0)) != relation_dom(X1)
| subset(relation_rng(X1),relation_dom(X0))
| ~ relation(X1)
| ~ function(X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f134,plain,
! [X0,X1] :
( ~ subset(relation_rng(X1),relation_dom(X0))
| ~ one_to_one(relation_composition(X1,X0))
| one_to_one(X1)
| ~ relation(X1)
| ~ function(X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f136,plain,
! [X0] : one_to_one(identity_relation(X0)),
inference(cnf_transformation,[],[f34]) ).
fof(f137,plain,
function(sK9),
inference(cnf_transformation,[],[f88]) ).
fof(f138,plain,
relation(sK9),
inference(cnf_transformation,[],[f88]) ).
fof(f139,plain,
relation_composition(sK9,sK10) = identity_relation(relation_dom(sK9)),
inference(cnf_transformation,[],[f88]) ).
fof(f140,plain,
function(sK10),
inference(cnf_transformation,[],[f88]) ).
fof(f141,plain,
relation(sK10),
inference(cnf_transformation,[],[f88]) ).
fof(f142,plain,
~ one_to_one(sK9),
inference(cnf_transformation,[],[f88]) ).
fof(f146,plain,
! [X0] : relation_dom(identity_relation(X0)) = X0,
inference(cnf_transformation,[],[f39]) ).
fof(f290,plain,
( relation_dom(sK9) != relation_dom(identity_relation(relation_dom(sK9)))
| subset(relation_rng(sK9),relation_dom(sK10))
| ~ relation(sK9)
| ~ function(sK9)
| ~ relation(sK10)
| ~ function(sK10) ),
inference(superposition,[],[f130,f139]) ).
fof(f291,plain,
( subset(relation_rng(sK9),relation_dom(sK10))
| ~ relation(sK9)
| ~ function(sK9)
| ~ relation(sK10)
| ~ function(sK10) ),
inference(forward_subsumption_resolution,[],[f290,f146]) ).
fof(f292,plain,
( subset(relation_rng(sK9),relation_dom(sK10))
| ~ function(sK9)
| ~ relation(sK10)
| ~ function(sK10) ),
inference(forward_subsumption_resolution,[],[f291,f138]) ).
fof(f293,plain,
( subset(relation_rng(sK9),relation_dom(sK10))
| ~ relation(sK10)
| ~ function(sK10) ),
inference(forward_subsumption_resolution,[],[f292,f137]) ).
fof(f294,plain,
( subset(relation_rng(sK9),relation_dom(sK10))
| ~ function(sK10) ),
inference(forward_subsumption_resolution,[],[f293,f141]) ).
fof(f295,plain,
subset(relation_rng(sK9),relation_dom(sK10)),
inference(forward_subsumption_resolution,[],[f294,f140]) ).
fof(f296,plain,
( ~ one_to_one(relation_composition(sK9,sK10))
| one_to_one(sK9)
| ~ relation(sK9)
| ~ function(sK9)
| ~ relation(sK10)
| ~ function(sK10) ),
inference(resolution,[],[f295,f134]) ).
fof(f297,plain,
( ~ one_to_one(relation_composition(sK9,sK10))
| ~ relation(sK9)
| ~ function(sK9)
| ~ relation(sK10)
| ~ function(sK10) ),
inference(forward_subsumption_resolution,[],[f296,f142]) ).
fof(f298,plain,
( ~ one_to_one(relation_composition(sK9,sK10))
| ~ function(sK9)
| ~ relation(sK10)
| ~ function(sK10) ),
inference(forward_subsumption_resolution,[],[f297,f138]) ).
fof(f299,plain,
( ~ one_to_one(relation_composition(sK9,sK10))
| ~ relation(sK10)
| ~ function(sK10) ),
inference(forward_subsumption_resolution,[],[f298,f137]) ).
fof(f300,plain,
( ~ one_to_one(relation_composition(sK9,sK10))
| ~ function(sK10) ),
inference(forward_subsumption_resolution,[],[f299,f141]) ).
fof(f301,plain,
~ one_to_one(relation_composition(sK9,sK10)),
inference(forward_subsumption_resolution,[],[f300,f140]) ).
fof(f302,plain,
~ one_to_one(identity_relation(relation_dom(sK9))),
inference(forward_demodulation,[],[f301,f139]) ).
fof(f303,plain,
$false,
inference(forward_subsumption_resolution,[],[f302,f136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU020+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n016.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 03:28:32 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.19/0.49 % (3230926)Will run a generic schedule for satisfiability detection.
% 0.19/0.49 % (3230931)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=519005662_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.49 % TRYING [1]
% 0.19/0.49 % TRYING [2]
% 0.19/0.49 % TRYING [3]
% 0.19/0.49 % TRYING [4]
% 0.19/0.49 % (3230932)% WARNING: option uhcvi not known.
% 0.19/0.49 % TRYING [5]
% 0.19/0.49 % (3230935)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3476332858:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.49 % (3230932)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1659746302:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.49 % (3230936)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=881796664:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.49 % TRYING [6]
% 0.19/0.49 % (3230933)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1043938053:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.49 % (3230934)dis+10_1_sil=32000:sp=arity:random_seed=2913563267:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.49 % (3230937)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2300037075:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.49 % (3230934) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3230926-3230934"...
% 0.19/0.49 % (3230932) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3230926-3230932"...
% 0.19/0.49 % TRYING [7]
% 0.19/0.49 % (3230934)...printing done.
% 0.19/0.49 % (3230932)...printing done.
% 0.19/0.49 % (3230935) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3230926-3230935"...
% 0.19/0.49 % (3230934)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (3230934)------------------------------
% 0.19/0.49 % (3230934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.49 % (3230934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.49 % (3230934)CaDiCaL version: 2.1.3
% 0.19/0.49 % (3230934)Termination reason: Refutation
% 0.19/0.49 % (3230934)Time elapsed: 0.005 s
% 0.19/0.49 % (3230934)Peak memory usage: 12 MB
% 0.19/0.49 % (3230934)Instructions burned: 6 (million)
% 0.19/0.49 % (3230926)Success in time 0.052 s
% 0.19/0.49 % Vampire exiting
%------------------------------------------------------------------------------