%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU040+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 : 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 12:51:50 PM UTC 2026
% Result : Theorem 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 8 unt; 2 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 56 ( 24 ~; 18 |; 8 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 20 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1))
& subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t76_funct_1) ).
fof(f37,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1))
& subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f38,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t89_relat_1) ).
fof(f39,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_relat_1) ).
fof(f69,plain,
? [X0,X1] :
( ( ~ subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1))
| ~ subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) )
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f70,plain,
? [X0,X1] :
( ( ~ subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1))
| ~ subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) )
& relation(X1)
& function(X1) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0,X1] :
( subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f72,plain,
! [X0,X1] :
( subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f124,plain,
( ~ subset(relation_rng(relation_dom_restriction(sK12,sK11)),relation_rng(sK12))
| ~ subset(relation_dom(relation_dom_restriction(sK12,sK11)),relation_dom(sK12)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f126,plain,
relation(sK12),
inference(cnf_transformation,[],[f70]) ).
fof(f127,plain,
! [X0,X1] :
( ~ relation(X1)
| subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f128,plain,
! [X0,X1] :
( ~ relation(X1)
| subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f156,plain,
~ relation(sK12),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f157,plain,
( subset(relation_rng(relation_dom_restriction(sK12,sK11)),relation_rng(sK12))
| subset(relation_dom(relation_dom_restriction(sK12,sK11)),relation_dom(sK12)) ),
inference(consistent_polarity_flipping,[],[f124]) ).
fof(f158,plain,
! [X0,X1] :
( ~ subset(relation_dom(relation_dom_restriction(X1,X0)),relation_dom(X1))
| relation(X1) ),
inference(consistent_polarity_flipping,[],[f127]) ).
fof(f159,plain,
! [X0,X1] :
( ~ subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1))
| relation(X1) ),
inference(consistent_polarity_flipping,[],[f128]) ).
fof(f161,definition,
( spl13_1
<=> subset(relation_dom(relation_dom_restriction(sK12,sK11)),relation_dom(sK12)) ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f163,plain,
( subset(relation_dom(relation_dom_restriction(sK12,sK11)),relation_dom(sK12))
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f165,definition,
( spl13_2
<=> subset(relation_rng(relation_dom_restriction(sK12,sK11)),relation_rng(sK12)) ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f167,plain,
( subset(relation_rng(relation_dom_restriction(sK12,sK11)),relation_rng(sK12))
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f168,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f157,f165,f161]) ).
fof(f229,plain,
( relation(sK12)
| ~ spl13_2 ),
inference(resolution,[],[f159,f167]) ).
fof(f230,plain,
( $false
| ~ spl13_2 ),
inference(forward_subsumption_resolution,[],[f229,f156]) ).
fof(f231,plain,
~ spl13_2,
inference(avatar_contradiction_clause,[],[f230]) ).
fof(f232,plain,
( relation(sK12)
| ~ spl13_1 ),
inference(resolution,[],[f163,f158]) ).
fof(f234,plain,
( $false
| ~ spl13_1 ),
inference(forward_subsumption_resolution,[],[f232,f156]) ).
fof(f235,plain,
~ spl13_1,
inference(avatar_contradiction_clause,[],[f234]) ).
cnf(s1,plain,
( spl13_1
| spl13_2 ),
inference(sat_conversion,[],[f168]) ).
cnf(s3,plain,
~ spl13_2,
inference(sat_conversion,[],[f231]) ).
cnf(s4,plain,
~ spl13_1,
inference(sat_conversion,[],[f235]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s4]) ).
fof(f236,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU040+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n004.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 03:23:37 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.15/0.48 % (4119723)Will run a generic schedule for satisfiability detection.
% 0.15/0.48 % (4119728)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1745329871_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.48 % TRYING [1]
% 0.15/0.48 % TRYING [2]
% 0.15/0.48 % TRYING [3]
% 0.15/0.48 % TRYING [4]
% 0.15/0.48 % (4119729)% WARNING: option uhcvi not known.
% 0.15/0.48 % TRYING [5]
% 0.15/0.48 % TRYING [6]
% 0.15/0.48 % (4119730)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1522279944:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.48 % (4119729)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1166203518:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.48 % (4119733)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3476185584:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.48 % (4119731)dis+10_1_sil=32000:sp=arity:random_seed=141265314:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.48 % (4119732)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4248886130:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.48 % (4119734)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=970368224:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.48 % (4119729) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4119723-4119729"...
% 0.15/0.48 % (4119731) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4119723-4119731"...
% 0.15/0.48 % TRYING [7]
% 0.15/0.48 % (4119732) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4119723-4119732"...
% 0.15/0.48 % (4119733) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4119723-4119733"...
% 0.15/0.48 % (4119729)...printing done.
% 0.15/0.48 % (4119731)...printing done.
% 0.15/0.48 % (4119732)...printing done.
% 0.15/0.48 % (4119729)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Theorem for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48 % (4119729)------------------------------
% 0.15/0.48 % (4119729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.48 % (4119729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.48 % (4119729)CaDiCaL version: 2.1.3
% 0.15/0.48 % (4119729)Termination reason: Refutation
% 0.15/0.48 % (4119729)Time elapsed: 0.005 s
% 0.15/0.48 % (4119729)Peak memory usage: 12 MB
% 0.15/0.48 % (4119729)Instructions burned: 5 (million)
% 0.15/0.48 % (4119723)Success in time 0.052 s
% 0.15/0.48 % Vampire exiting
%------------------------------------------------------------------------------