%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO578+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 : 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 02:31:42 PM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 10 unt; 4 def)
% Number of atoms : 139 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 162 ( 61 ~; 54 |; 36 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 41 ( 0 sgn 26 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
( ! [X0] :
( k04_buttercup10100(X0)
=> b48_buttercup10098(X0) )
& ? [X1] :
( b48_buttercup10098(X1)
& ~ k04_buttercup10100(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
fof(f86,conjecture,
( ( ! [X0] :
( b48_buttercup10098(X0)
=> k04_buttercup10100(X0) )
& ? [X1] :
( k04_buttercup10100(X1)
& ~ b48_buttercup10098(X1) ) )
| ( ! [X2] :
( k04_buttercup10100(X2)
=> b48_buttercup10098(X2) )
& ? [X3] :
( b48_buttercup10098(X3)
& ~ k04_buttercup10100(X3) ) )
| ? [X4,X5,X6] :
( k04_buttercup10100(X4)
& b48_buttercup10098(X4)
& k04_buttercup10100(X5)
& ~ b48_buttercup10098(X5)
& ~ k04_buttercup10100(X6)
& b48_buttercup10098(X6) )
| ! [X7] :
( k04_buttercup10100(X7)
=> ~ b48_buttercup10098(X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_86) ).
fof(f87,negated_conjecture,
~ ( ( ! [X0] :
( b48_buttercup10098(X0)
=> k04_buttercup10100(X0) )
& ? [X1] :
( k04_buttercup10100(X1)
& ~ b48_buttercup10098(X1) ) )
| ( ! [X2] :
( k04_buttercup10100(X2)
=> b48_buttercup10098(X2) )
& ? [X3] :
( b48_buttercup10098(X3)
& ~ k04_buttercup10100(X3) ) )
| ? [X4,X5,X6] :
( k04_buttercup10100(X4)
& b48_buttercup10098(X4)
& k04_buttercup10100(X5)
& ~ b48_buttercup10098(X5)
& ~ k04_buttercup10100(X6)
& b48_buttercup10098(X6) )
| ! [X7] :
( k04_buttercup10100(X7)
=> ~ b48_buttercup10098(X7) ) ),
inference(negated_conjecture,[status(cth)],[f86]) ).
fof(f108,plain,
( ! [X0] :
( b48_buttercup10098(X0)
| ~ k04_buttercup10100(X0) )
& ? [X1] :
( b48_buttercup10098(X1)
& ~ k04_buttercup10100(X1) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f162,plain,
( ( ? [X0] :
( ~ k04_buttercup10100(X0)
& b48_buttercup10098(X0) )
| ! [X1] :
( ~ k04_buttercup10100(X1)
| b48_buttercup10098(X1) ) )
& ( ? [X2] :
( ~ b48_buttercup10098(X2)
& k04_buttercup10100(X2) )
| ! [X3] :
( ~ b48_buttercup10098(X3)
| k04_buttercup10100(X3) ) )
& ! [X4,X5,X6] :
( ~ k04_buttercup10100(X4)
| ~ b48_buttercup10098(X4)
| ~ k04_buttercup10100(X5)
| b48_buttercup10098(X5)
| k04_buttercup10100(X6)
| ~ b48_buttercup10098(X6) )
& ? [X7] :
( b48_buttercup10098(X7)
& k04_buttercup10100(X7) ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f225,plain,
( ! [X0] :
( b48_buttercup10098(X0)
| ~ k04_buttercup10100(X0) )
& b48_buttercup10098(sK45)
& ~ k04_buttercup10100(sK45) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45]),skolemize(X1,sK45)],[f108]) ).
fof(f254,plain,
( ( ( ~ k04_buttercup10100(sK69)
& b48_buttercup10098(sK69) )
| ! [X1] :
( ~ k04_buttercup10100(X1)
| b48_buttercup10098(X1) ) )
& ( ( ~ b48_buttercup10098(sK70)
& k04_buttercup10100(sK70) )
| ! [X3] :
( ~ b48_buttercup10098(X3)
| k04_buttercup10100(X3) ) )
& ! [X4,X5,X6] :
( ~ k04_buttercup10100(X4)
| ~ b48_buttercup10098(X4)
| ~ k04_buttercup10100(X5)
| b48_buttercup10098(X5)
| k04_buttercup10100(X6)
| ~ b48_buttercup10098(X6) )
& b48_buttercup10098(sK71)
& k04_buttercup10100(sK71) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK69,sK70,sK71]),skolemize(X0,sK69),skolemize(X2,sK70),skolemize(X7,sK71)],[f162]) ).
fof(f342,plain,
~ k04_buttercup10100(sK45),
inference(cnf_transformation,[],[f225]) ).
fof(f343,plain,
b48_buttercup10098(sK45),
inference(cnf_transformation,[],[f225]) ).
fof(f344,plain,
! [X0] :
( b48_buttercup10098(X0)
| ~ k04_buttercup10100(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f437,plain,
! [X3] :
( k04_buttercup10100(sK70)
| ~ b48_buttercup10098(X3)
| k04_buttercup10100(X3) ),
inference(cnf_transformation,[],[f254]) ).
fof(f438,plain,
! [X3] :
( ~ b48_buttercup10098(sK70)
| ~ b48_buttercup10098(X3)
| k04_buttercup10100(X3) ),
inference(cnf_transformation,[],[f254]) ).
fof(f442,definition,
( spl72_1
<=> ! [X6] :
( k04_buttercup10100(X6)
| ~ b48_buttercup10098(X6) ) ),
introduced(definition,[new_symbols(definition,[spl72_1])],[avatar_definition]) ).
fof(f443,plain,
( ! [X6] :
( ~ b48_buttercup10098(X6)
| k04_buttercup10100(X6) )
| ~ spl72_1 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f445,definition,
( spl72_2
<=> ! [X5] :
( ~ k04_buttercup10100(X5)
| b48_buttercup10098(X5) ) ),
introduced(definition,[new_symbols(definition,[spl72_2])],[avatar_definition]) ).
fof(f446,plain,
( ! [X5] :
( ~ k04_buttercup10100(X5)
| b48_buttercup10098(X5) )
| ~ spl72_2 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f452,definition,
( spl72_4
<=> k04_buttercup10100(sK70) ),
introduced(definition,[new_symbols(definition,[spl72_4])],[avatar_definition]) ).
fof(f454,plain,
( k04_buttercup10100(sK70)
| ~ spl72_4 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f455,plain,
( spl72_1
| spl72_4 ),
inference(avatar_split_clause,[],[f437,f452,f442]) ).
fof(f457,definition,
( spl72_5
<=> b48_buttercup10098(sK70) ),
introduced(definition,[new_symbols(definition,[spl72_5])],[avatar_definition]) ).
fof(f459,plain,
( ~ b48_buttercup10098(sK70)
| spl72_5 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f460,plain,
( spl72_1
| ~ spl72_5 ),
inference(avatar_split_clause,[],[f438,f457,f442]) ).
fof(f609,plain,
spl72_2,
inference(avatar_split_clause,[],[f344,f445]) ).
fof(f956,plain,
( b48_buttercup10098(sK70)
| ~ spl72_2
| ~ spl72_4 ),
inference(resolution,[],[f446,f454]) ).
fof(f957,plain,
( $false
| ~ spl72_2
| ~ spl72_4
| spl72_5 ),
inference(forward_subsumption_resolution,[],[f956,f459]) ).
fof(f958,plain,
( ~ spl72_2
| ~ spl72_4
| spl72_5 ),
inference(avatar_contradiction_clause,[],[f957]) ).
fof(f966,plain,
( k04_buttercup10100(sK45)
| ~ spl72_1 ),
inference(resolution,[],[f343,f443]) ).
fof(f967,plain,
( $false
| ~ spl72_1 ),
inference(forward_subsumption_resolution,[],[f966,f342]) ).
fof(f968,plain,
~ spl72_1,
inference(avatar_contradiction_clause,[],[f967]) ).
cnf(s2,plain,
( spl72_1
| spl72_4 ),
inference(sat_conversion,[],[f455]) ).
cnf(s3,plain,
( spl72_1
| ~ spl72_5 ),
inference(sat_conversion,[],[f460]) ).
cnf(s30,plain,
spl72_2,
inference(sat_conversion,[],[f609]) ).
cnf(s91,plain,
( ~ spl72_2
| ~ spl72_4
| spl72_5 ),
inference(sat_conversion,[],[f958]) ).
cnf(s92,plain,
~ spl72_1,
inference(sat_conversion,[],[f968]) ).
cnf(s93,plain,
~ spl72_5,
inference(rat,[],[s3,s92]) ).
cnf(s94,plain,
~ spl72_4,
inference(rat,[],[s91,s30,s93]) ).
cnf(s95,plain,
$false,
inference(rat,[],[s2,s94,s92]) ).
fof(f969,plain,
$false,
inference(avatar_sat_refutation,[],[s95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO578+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n011.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 17:49:01 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 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
% 0.08/0.25 % (3599334)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (3599340)% WARNING: option uhcvi not known.
% 0.08/0.25 % (3599339)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4159331534_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.25 % (3599340)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3571645437:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.25 % (3599344)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1351708060:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.25 % (3599341)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=136586889:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.25 % (3599342)dis+10_1_sil=32000:sp=arity:random_seed=4061136722:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.25 % (3599345)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4272811546:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.25 % (3599343)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2339418518:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.25 % (3599342) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3599334-3599342"...
% 0.08/0.25 % Detected minimum model sizes of [1]
% 0.08/0.25 % Detected maximum model sizes of [58]
% 0.08/0.25 % (3599344) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3599334-3599344"...
% 0.08/0.25 % TRYING [1]
% 0.08/0.25 % (3599341) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3599334-3599341"...
% 0.08/0.25 % (3599345) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3599334-3599345"...
% 0.08/0.25 % TRYING [2]
% 0.08/0.25 % (3599342)...printing done.
% 0.08/0.25 % TRYING [3]
% 0.08/0.25 % (3599344)...printing done.
% 0.08/0.25 % (3599340) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3599334-3599340"...
% 0.08/0.25 % (3599345)...printing done.
% 0.08/0.25 % (3599341)...printing done.
% 0.08/0.25 % (3599342)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Theorem for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (3599342)------------------------------
% 0.08/0.25 % (3599342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (3599342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (3599342)CaDiCaL version: 2.1.3
% 0.08/0.25 % (3599342)Termination reason: Refutation
% 0.08/0.25 % (3599342)Time elapsed: 0.005 s
% 0.08/0.25 % (3599342)Peak memory usage: 12 MB
% 0.08/0.25 % (3599342)Instructions burned: 7 (million)
% 0.08/0.25 % (3599334)Success in time 0.041 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------