%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU010+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 : n011.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 12:51:47 PM UTC 2026
% Result : Theorem 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 35 ( 12 unt; 2 def)
% Number of atoms : 74 ( 26 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 66 ( 27 ~; 23 |; 8 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 26 ( 1 sgn 24 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f36,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( relation_composition(identity_relation(relation_dom(X0)),X0) = X0
& relation_composition(X0,identity_relation(relation_rng(X0))) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_funct_1) ).
fof(f37,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ( relation_composition(identity_relation(relation_dom(X0)),X0) = X0
& relation_composition(X0,identity_relation(relation_rng(X0))) = X0 ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f38,axiom,
! [X0,X1] :
( relation(X1)
=> ( subset(relation_dom(X1),X0)
=> relation_composition(identity_relation(X0),X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t77_relat_1) ).
fof(f39,axiom,
! [X0,X1] :
( relation(X1)
=> ( subset(relation_rng(X1),X0)
=> relation_composition(X1,identity_relation(X0)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t79_relat_1) ).
fof(f40,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f22]) ).
fof(f70,plain,
? [X0] :
( ( relation_composition(identity_relation(relation_dom(X0)),X0) != X0
| relation_composition(X0,identity_relation(relation_rng(X0))) != X0 )
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f71,plain,
? [X0] :
( ( relation_composition(identity_relation(relation_dom(X0)),X0) != X0
| relation_composition(X0,identity_relation(relation_rng(X0))) != X0 )
& relation(X0)
& function(X0) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
! [X0,X1] :
( relation_composition(identity_relation(X0),X1) = X1
| ~ subset(relation_dom(X1),X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f73,plain,
! [X0,X1] :
( relation_composition(identity_relation(X0),X1) = X1
| ~ subset(relation_dom(X1),X0)
| ~ relation(X1) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1] :
( relation_composition(X1,identity_relation(X0)) = X1
| ~ subset(relation_rng(X1),X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f75,plain,
! [X0,X1] :
( relation_composition(X1,identity_relation(X0)) = X1
| ~ subset(relation_rng(X1),X0)
| ~ relation(X1) ),
inference(flattening,[],[f74]) ).
fof(f103,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f40]) ).
fof(f125,plain,
( sK9 != relation_composition(sK9,identity_relation(relation_rng(sK9)))
| sK9 != relation_composition(identity_relation(relation_dom(sK9)),sK9) ),
inference(cnf_transformation,[],[f71]) ).
fof(f127,plain,
relation(sK9),
inference(cnf_transformation,[],[f71]) ).
fof(f128,plain,
! [X0,X1] :
( ~ subset(relation_dom(X1),X0)
| ~ relation(X1)
| relation_composition(identity_relation(X0),X1) = X1 ),
inference(cnf_transformation,[],[f73]) ).
fof(f129,plain,
! [X0,X1] :
( ~ subset(relation_rng(X1),X0)
| ~ relation(X1)
| relation_composition(X1,identity_relation(X0)) = X1 ),
inference(cnf_transformation,[],[f75]) ).
fof(f131,definition,
( spl10_1
<=> sK9 = relation_composition(identity_relation(relation_dom(sK9)),sK9) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f133,plain,
( sK9 != relation_composition(identity_relation(relation_dom(sK9)),sK9)
| spl10_1 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f135,definition,
( spl10_2
<=> sK9 = relation_composition(sK9,identity_relation(relation_rng(sK9))) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f137,plain,
( sK9 != relation_composition(sK9,identity_relation(relation_rng(sK9)))
| spl10_2 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f138,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f125,f135,f131]) ).
fof(f361,plain,
! [X0] :
( ~ relation(X0)
| relation_composition(identity_relation(relation_dom(X0)),X0) = X0 ),
inference(resolution,[],[f128,f103]) ).
fof(f381,plain,
! [X0] :
( ~ relation(X0)
| relation_composition(X0,identity_relation(relation_rng(X0))) = X0 ),
inference(resolution,[],[f129,f103]) ).
fof(f1497,plain,
sK9 = relation_composition(identity_relation(relation_dom(sK9)),sK9),
inference(resolution,[],[f361,f127]) ).
fof(f1498,plain,
( $false
| spl10_1 ),
inference(forward_subsumption_resolution,[],[f1497,f133]) ).
fof(f1499,plain,
spl10_1,
inference(avatar_contradiction_clause,[],[f1498]) ).
fof(f1572,plain,
sK9 = relation_composition(sK9,identity_relation(relation_rng(sK9))),
inference(resolution,[],[f381,f127]) ).
fof(f1573,plain,
( $false
| spl10_2 ),
inference(forward_subsumption_resolution,[],[f1572,f137]) ).
fof(f1574,plain,
spl10_2,
inference(avatar_contradiction_clause,[],[f1573]) ).
cnf(s1,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(sat_conversion,[],[f138]) ).
cnf(s18,plain,
spl10_1,
inference(sat_conversion,[],[f1499]) ).
cnf(s19,plain,
spl10_2,
inference(sat_conversion,[],[f1574]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s1,s19,s18]) ).
fof(f1580,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU010+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 03:21:45 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.16/0.47 % (2985473)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (2985482)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=61120012:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (2985479)% WARNING: option uhcvi not known.
% 0.16/0.47 % (2985480)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3763025646:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (2985478)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1163044680_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % (2985479)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2642239193:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (2985483)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1907533414:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % (2985481)dis+10_1_sil=32000:sp=arity:random_seed=3105027599:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (2985484)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3025874138:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % TRYING [1]
% 0.16/0.47 % TRYING [2]
% 0.16/0.47 % TRYING [3]
% 0.16/0.47 % TRYING [4]
% 0.16/0.47 % TRYING [5]
% 0.16/0.47 % (2985481) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2985473-2985481"...
% 0.16/0.47 % (2985479) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2985473-2985479"...
% 0.16/0.47 % (2985482) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2985473-2985482"...
% 0.16/0.47 % (2985482)...printing done.
% 0.16/0.47 % (2985481)...printing done.
% 0.16/0.47 % (2985479)...printing done.
% 0.16/0.47 % (2985482)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Theorem for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (2985482)------------------------------
% 0.16/0.47 % (2985482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (2985482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (2985482)CaDiCaL version: 2.1.3
% 0.16/0.47 % (2985482)Termination reason: Refutation
% 0.16/0.47 % (2985482)Time elapsed: 0.017 s
% 0.16/0.47 % (2985482)Peak memory usage: 13 MB
% 0.16/0.47 % (2985482)Instructions burned: 53 (million)
% 0.16/0.47 % (2985473)Success in time 0.044 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------