%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU158+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 12:52:09 PM UTC 2026
% Result : Theorem 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 39 ( 6 unt; 2 def)
% Number of atoms : 80 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 72 ( 31 ~; 32 |; 3 &)
% ( 5 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 18 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,axiom,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).
fof(f67,conjecture,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_zfmisc_1) ).
fof(f68,negated_conjecture,
~ ! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f67]) ).
fof(f80,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f122,plain,
? [X0,X1] :
( subset(singleton(X0),X1)
<~> in(X0,X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f175,plain,
! [X0,X1] :
( ( subset(singleton(X0),X1)
| ~ in(X0,X1) )
& ( in(X0,X1)
| ~ subset(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f186,plain,
? [X0,X1] :
( ( ~ in(X0,X1)
| ~ subset(singleton(X0),X1) )
& ( in(X0,X1)
| subset(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f187,plain,
( ( ~ in(sK19,sK20)
| ~ subset(singleton(sK19),sK20) )
& ( in(sK19,sK20)
| subset(singleton(sK19),sK20) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20]),skolemize(X0,sK19),skolemize(X1,sK20)],[f186]) ).
fof(f265,plain,
! [X0,X1] :
( in(X0,X1)
| ~ subset(singleton(X0),X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f266,plain,
! [X0,X1] :
( subset(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f300,plain,
( in(sK19,sK20)
| subset(singleton(sK19),sK20) ),
inference(cnf_transformation,[],[f187]) ).
fof(f301,plain,
( ~ in(sK19,sK20)
| ~ subset(singleton(sK19),sK20) ),
inference(cnf_transformation,[],[f187]) ).
fof(f316,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f80]) ).
fof(f351,plain,
! [X0,X1] :
( subset(unordered_pair(X0,X0),X1)
| ~ in(X0,X1) ),
inference(definition_unfolding,[],[f266,f316]) ).
fof(f352,plain,
! [X0,X1] :
( ~ subset(unordered_pair(X0,X0),X1)
| in(X0,X1) ),
inference(definition_unfolding,[],[f265,f316]) ).
fof(f368,plain,
( ~ in(sK19,sK20)
| ~ subset(unordered_pair(sK19,sK19),sK20) ),
inference(definition_unfolding,[],[f301,f316]) ).
fof(f369,plain,
( in(sK19,sK20)
| subset(unordered_pair(sK19,sK19),sK20) ),
inference(definition_unfolding,[],[f300,f316]) ).
fof(f408,definition,
( spl23_1
<=> subset(unordered_pair(sK19,sK19),sK20) ),
introduced(definition,[new_symbols(definition,[spl23_1])],[avatar_definition]) ).
fof(f409,plain,
( ~ subset(unordered_pair(sK19,sK19),sK20)
| spl23_1 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f410,plain,
( subset(unordered_pair(sK19,sK19),sK20)
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f412,definition,
( spl23_2
<=> in(sK19,sK20) ),
introduced(definition,[new_symbols(definition,[spl23_2])],[avatar_definition]) ).
fof(f413,plain,
( ~ in(sK19,sK20)
| spl23_2 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f414,plain,
( in(sK19,sK20)
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f415,plain,
( spl23_1
| spl23_2 ),
inference(avatar_split_clause,[],[f369,f412,f408]) ).
fof(f416,plain,
( ~ spl23_1
| ~ spl23_2 ),
inference(avatar_split_clause,[],[f368,f412,f408]) ).
fof(f574,plain,
( ~ in(sK19,sK20)
| spl23_1 ),
inference(resolution,[],[f351,f409]) ).
fof(f580,plain,
( $false
| spl23_1
| ~ spl23_2 ),
inference(forward_subsumption_resolution,[],[f574,f414]) ).
fof(f581,plain,
( spl23_1
| ~ spl23_2 ),
inference(avatar_contradiction_clause,[],[f580]) ).
fof(f591,plain,
( in(sK19,sK20)
| ~ spl23_1 ),
inference(resolution,[],[f352,f410]) ).
fof(f593,plain,
( $false
| ~ spl23_1
| spl23_2 ),
inference(forward_subsumption_resolution,[],[f591,f413]) ).
fof(f594,plain,
( ~ spl23_1
| spl23_2 ),
inference(avatar_contradiction_clause,[],[f593]) ).
cnf(s1,plain,
( spl23_1
| spl23_2 ),
inference(sat_conversion,[],[f415]) ).
cnf(s2,plain,
( ~ spl23_1
| ~ spl23_2 ),
inference(sat_conversion,[],[f416]) ).
cnf(s3,plain,
( spl23_1
| ~ spl23_2 ),
inference(sat_conversion,[],[f581]) ).
cnf(s4,plain,
( ~ spl23_1
| spl23_2 ),
inference(sat_conversion,[],[f594]) ).
cnf(s5,plain,
spl23_1,
inference(rat,[],[s1,s3]) ).
cnf(s6,plain,
spl23_2,
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s2,s6,s5]) ).
fof(f595,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU158+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n006.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
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 03:47:40 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 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
% 0.19/0.46 % (3560280)Will run a generic schedule for satisfiability detection.
% 0.19/0.46 % (3560288)dis+10_1_sil=32000:sp=arity:random_seed=3171256168:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.46 % (3560286)% WARNING: option uhcvi not known.
% 0.19/0.46 % (3560288) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3560280-3560288"...
% 0.19/0.46 % (3560288)...printing done.
% 0.19/0.46 % (3560285)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=620093671_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.46 % (3560286)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=519595530:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.46 % (3560290)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2131333795:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.46 % (3560287)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=17499945:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.46 % (3560289)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3437534849:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.46 % (3560288)Refutation found. Thanks to Tanya!
% 0.19/0.46 % SZS status Theorem for theBenchmark
% 0.19/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46 % (3560288)------------------------------
% 0.19/0.46 % (3560288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.46 % (3560288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.46 % (3560288)CaDiCaL version: 2.1.3
% 0.19/0.46 % (3560288)Termination reason: Refutation
% 0.19/0.46 % (3560288)Time elapsed: 0.005 s
% 0.19/0.46 % (3560288)Peak memory usage: 12 MB
% 0.19/0.46 % (3560288)Instructions burned: 12 (million)
% 0.19/0.46 % (3560280)Success in time 0.035 s
% 0.19/0.46 % Vampire exiting
%------------------------------------------------------------------------------