%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO580+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 02:31:43 PM UTC 2026
% Result : Theorem 0.19s 0.28s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 53 ( 7 unt; 6 def)
% Number of atoms : 176 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 197 ( 74 ~; 73 |; 34 &)
% ( 8 <=>; 7 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 7 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 41 ( 0 sgn 27 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f320,axiom,
( ! [X0] :
( b48_buttercup10305(X0)
=> k04_buttercup10303(X0) )
& ? [X1] :
( k04_buttercup10303(X1)
& ~ b48_buttercup10305(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_320) ).
fof(f886,conjecture,
( ! [X0] :
( b48_buttercup10305(X0)
<=> k04_buttercup10303(X0) )
| ( ! [X1] :
( k04_buttercup10303(X1)
=> b48_buttercup10305(X1) )
& ? [X2] :
( b48_buttercup10305(X2)
& ~ k04_buttercup10303(X2) ) )
| ( ! [X3] :
( b48_buttercup10305(X3)
=> k04_buttercup10303(X3) )
& ? [X4] :
( k04_buttercup10303(X4)
& ~ b48_buttercup10305(X4) ) )
| ! [X5] :
( b48_buttercup10305(X5)
=> ~ k04_buttercup10303(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_886) ).
fof(f887,negated_conjecture,
~ ( ! [X0] :
( b48_buttercup10305(X0)
<=> k04_buttercup10303(X0) )
| ( ! [X1] :
( k04_buttercup10303(X1)
=> b48_buttercup10305(X1) )
& ? [X2] :
( b48_buttercup10305(X2)
& ~ k04_buttercup10303(X2) ) )
| ( ! [X3] :
( b48_buttercup10305(X3)
=> k04_buttercup10303(X3) )
& ? [X4] :
( k04_buttercup10303(X4)
& ~ b48_buttercup10305(X4) ) )
| ! [X5] :
( b48_buttercup10305(X5)
=> ~ k04_buttercup10303(X5) ) ),
inference(negated_conjecture,[status(cth)],[f886]) ).
fof(f1291,plain,
( ! [X0] :
( k04_buttercup10303(X0)
| ~ b48_buttercup10305(X0) )
& ? [X1] :
( k04_buttercup10303(X1)
& ~ b48_buttercup10305(X1) ) ),
inference(ennf_transformation,[],[f320]) ).
fof(f1368,plain,
( ? [X0] :
( b48_buttercup10305(X0)
<~> k04_buttercup10303(X0) )
& ( ? [X1] :
( ~ b48_buttercup10305(X1)
& k04_buttercup10303(X1) )
| ! [X2] :
( ~ b48_buttercup10305(X2)
| k04_buttercup10303(X2) ) )
& ( ? [X3] :
( ~ k04_buttercup10303(X3)
& b48_buttercup10305(X3) )
| ! [X4] :
( ~ k04_buttercup10303(X4)
| b48_buttercup10305(X4) ) )
& ? [X5] :
( k04_buttercup10303(X5)
& b48_buttercup10305(X5) ) ),
inference(ennf_transformation,[],[f887]) ).
fof(f1405,plain,
( ! [X0] :
( k04_buttercup10303(X0)
| ~ b48_buttercup10305(X0) )
& k04_buttercup10303(sK24)
& ~ b48_buttercup10305(sK24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(X1,sK24)],[f1291]) ).
fof(f1994,plain,
( ? [X0] :
( ( ~ k04_buttercup10303(X0)
| ~ b48_buttercup10305(X0) )
& ( k04_buttercup10303(X0)
| b48_buttercup10305(X0) ) )
& ( ? [X1] :
( ~ b48_buttercup10305(X1)
& k04_buttercup10303(X1) )
| ! [X2] :
( ~ b48_buttercup10305(X2)
| k04_buttercup10303(X2) ) )
& ( ? [X3] :
( ~ k04_buttercup10303(X3)
& b48_buttercup10305(X3) )
| ! [X4] :
( ~ k04_buttercup10303(X4)
| b48_buttercup10305(X4) ) )
& ? [X5] :
( k04_buttercup10303(X5)
& b48_buttercup10305(X5) ) ),
inference(nnf_transformation,[],[f1368]) ).
fof(f1995,plain,
( ( ~ k04_buttercup10303(sK481)
| ~ b48_buttercup10305(sK481) )
& ( k04_buttercup10303(sK481)
| b48_buttercup10305(sK481) )
& ( ( ~ b48_buttercup10305(sK482)
& k04_buttercup10303(sK482) )
| ! [X2] :
( ~ b48_buttercup10305(X2)
| k04_buttercup10303(X2) ) )
& ( ( ~ k04_buttercup10303(sK483)
& b48_buttercup10305(sK483) )
| ! [X4] :
( ~ k04_buttercup10303(X4)
| b48_buttercup10305(X4) ) )
& k04_buttercup10303(sK484)
& b48_buttercup10305(sK484) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK481,sK482,sK483,sK484]),skolemize(X0,sK481),skolemize(X1,sK482),skolemize(X3,sK483),skolemize(X5,sK484)],[f1994]) ).
fof(f2192,plain,
! [X0] :
( k04_buttercup10303(X0)
| ~ b48_buttercup10305(X0) ),
inference(cnf_transformation,[],[f1405]) ).
fof(f3081,plain,
! [X4] :
( b48_buttercup10305(sK483)
| ~ k04_buttercup10303(X4)
| b48_buttercup10305(X4) ),
inference(cnf_transformation,[],[f1995]) ).
fof(f3082,plain,
! [X4] :
( ~ k04_buttercup10303(sK483)
| ~ k04_buttercup10303(X4)
| b48_buttercup10305(X4) ),
inference(cnf_transformation,[],[f1995]) ).
fof(f3085,plain,
( k04_buttercup10303(sK481)
| b48_buttercup10305(sK481) ),
inference(cnf_transformation,[],[f1995]) ).
fof(f3086,plain,
( ~ k04_buttercup10303(sK481)
| ~ b48_buttercup10305(sK481) ),
inference(cnf_transformation,[],[f1995]) ).
fof(f3256,plain,
! [X0] :
( ~ k04_buttercup10303(X0)
| b48_buttercup10305(X0) ),
inference(consistent_polarity_flipping,[],[f2192]) ).
fof(f3742,plain,
( k04_buttercup10303(sK481)
| b48_buttercup10305(sK481) ),
inference(consistent_polarity_flipping,[],[f3086]) ).
fof(f3743,plain,
( ~ k04_buttercup10303(sK481)
| ~ b48_buttercup10305(sK481) ),
inference(consistent_polarity_flipping,[],[f3085]) ).
fof(f3746,plain,
! [X4] :
( k04_buttercup10303(sK483)
| k04_buttercup10303(X4)
| ~ b48_buttercup10305(X4) ),
inference(consistent_polarity_flipping,[],[f3082]) ).
fof(f3747,plain,
! [X4] :
( ~ b48_buttercup10305(sK483)
| k04_buttercup10303(X4)
| ~ b48_buttercup10305(X4) ),
inference(consistent_polarity_flipping,[],[f3081]) ).
fof(f3751,definition,
( spl485_1
<=> ! [X4] :
( k04_buttercup10303(X4)
| ~ b48_buttercup10305(X4) ) ),
introduced(definition,[new_symbols(definition,[spl485_1])],[avatar_definition]) ).
fof(f3752,plain,
( ! [X4] :
( ~ b48_buttercup10305(X4)
| k04_buttercup10303(X4) )
| ~ spl485_1 ),
inference(avatar_component_clause,[],[f3751]) ).
fof(f3754,definition,
( spl485_2
<=> b48_buttercup10305(sK483) ),
introduced(definition,[new_symbols(definition,[spl485_2])],[avatar_definition]) ).
fof(f3756,plain,
( ~ b48_buttercup10305(sK483)
| spl485_2 ),
inference(avatar_component_clause,[],[f3754]) ).
fof(f3757,plain,
( spl485_1
| ~ spl485_2 ),
inference(avatar_split_clause,[],[f3747,f3754,f3751]) ).
fof(f3759,definition,
( spl485_3
<=> k04_buttercup10303(sK483) ),
introduced(definition,[new_symbols(definition,[spl485_3])],[avatar_definition]) ).
fof(f3762,plain,
( spl485_1
| spl485_3 ),
inference(avatar_split_clause,[],[f3746,f3759,f3751]) ).
fof(f3764,definition,
( spl485_4
<=> ! [X2] :
( b48_buttercup10305(X2)
| ~ k04_buttercup10303(X2) ) ),
introduced(definition,[new_symbols(definition,[spl485_4])],[avatar_definition]) ).
fof(f3765,plain,
( ! [X2] :
( b48_buttercup10305(X2)
| ~ k04_buttercup10303(X2) )
| ~ spl485_4 ),
inference(avatar_component_clause,[],[f3764]) ).
fof(f3777,definition,
( spl485_7
<=> b48_buttercup10305(sK481) ),
introduced(definition,[new_symbols(definition,[spl485_7])],[avatar_definition]) ).
fof(f3778,plain,
( b48_buttercup10305(sK481)
| ~ spl485_7 ),
inference(avatar_component_clause,[],[f3777]) ).
fof(f3779,plain,
( ~ b48_buttercup10305(sK481)
| spl485_7 ),
inference(avatar_component_clause,[],[f3777]) ).
fof(f3781,definition,
( spl485_8
<=> k04_buttercup10303(sK481) ),
introduced(definition,[new_symbols(definition,[spl485_8])],[avatar_definition]) ).
fof(f3784,plain,
( ~ spl485_7
| ~ spl485_8 ),
inference(avatar_split_clause,[],[f3743,f3781,f3777]) ).
fof(f3785,plain,
( spl485_7
| spl485_8 ),
inference(avatar_split_clause,[],[f3742,f3781,f3777]) ).
fof(f4614,plain,
spl485_4,
inference(avatar_split_clause,[],[f3256,f3764]) ).
fof(f4616,plain,
( ~ k04_buttercup10303(sK483)
| spl485_2
| ~ spl485_4 ),
inference(resolution,[],[f3765,f3756]) ).
fof(f4618,plain,
( ~ spl485_3
| spl485_2
| ~ spl485_4 ),
inference(avatar_split_clause,[],[f4616,f3764,f3754,f3759]) ).
fof(f4619,plain,
( k04_buttercup10303(sK481)
| ~ spl485_1
| ~ spl485_7 ),
inference(resolution,[],[f3752,f3778]) ).
fof(f4622,plain,
( spl485_8
| ~ spl485_1
| ~ spl485_7 ),
inference(avatar_split_clause,[],[f4619,f3777,f3751,f3781]) ).
fof(f4623,plain,
( ~ k04_buttercup10303(sK481)
| ~ spl485_4
| spl485_7 ),
inference(resolution,[],[f3779,f3765]) ).
fof(f4624,plain,
( ~ spl485_8
| ~ spl485_4
| spl485_7 ),
inference(avatar_split_clause,[],[f4623,f3777,f3764,f3781]) ).
cnf(s1,plain,
( spl485_1
| ~ spl485_2 ),
inference(sat_conversion,[],[f3757]) ).
cnf(s2,plain,
( spl485_1
| spl485_3 ),
inference(sat_conversion,[],[f3762]) ).
cnf(s5,plain,
( ~ spl485_7
| ~ spl485_8 ),
inference(sat_conversion,[],[f3784]) ).
cnf(s6,plain,
( spl485_7
| spl485_8 ),
inference(sat_conversion,[],[f3785]) ).
cnf(s151,plain,
spl485_4,
inference(sat_conversion,[],[f4614]) ).
cnf(s152,plain,
( spl485_2
| ~ spl485_3
| ~ spl485_4 ),
inference(sat_conversion,[],[f4618]) ).
cnf(s153,plain,
( ~ spl485_1
| ~ spl485_7
| spl485_8 ),
inference(sat_conversion,[],[f4622]) ).
cnf(s154,plain,
( ~ spl485_4
| spl485_7
| ~ spl485_8 ),
inference(sat_conversion,[],[f4624]) ).
cnf(s155,plain,
spl485_1,
inference(rat,[],[s152,s1,s2,s151]) ).
cnf(s156,plain,
spl485_7,
inference(rat,[],[s6,s154,s151]) ).
cnf(s157,plain,
~ spl485_8,
inference(rat,[],[s5,s156]) ).
cnf(s158,plain,
$false,
inference(rat,[],[s153,s155,s156,s157]) ).
fof(f4625,plain,
$false,
inference(avatar_sat_refutation,[],[s158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO580+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n017.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 17:44:21 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.19/0.28 % (3823577)Will run a generic schedule for satisfiability detection.
% 0.19/0.28 % (3823588)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1197426605:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.28 % (3823583)% WARNING: option uhcvi not known.
% 0.19/0.28 % (3823582)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1646813747_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.28 % (3823585)dis+10_1_sil=32000:sp=arity:random_seed=324107929:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.28 % (3823584)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2933777883:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.28 % (3823583)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1701034386:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.28 % (3823586)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=182518040:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.28 % (3823587)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1452692254:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.28 % (3823588) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3823577-3823588"...
% 0.19/0.28 % (3823588)...printing done.
% 0.19/0.28 % (3823588)Refutation found. Thanks to Tanya!
% 0.19/0.28 % SZS status Theorem for theBenchmark
% 0.19/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.28 % (3823588)------------------------------
% 0.19/0.28 % (3823588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (3823588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (3823588)CaDiCaL version: 2.1.3
% 0.19/0.28 % (3823588)Termination reason: Refutation
% 0.19/0.28 % (3823588)Time elapsed: 0.012 s
% 0.19/0.28 % (3823588)Peak memory usage: 15 MB
% 0.19/0.28 % (3823588)Instructions burned: 35 (million)
% 0.19/0.28 % (3823577)Success in time 0.041 s
% 0.19/0.28 % Vampire exiting
%------------------------------------------------------------------------------