%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG199+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 09:29:44 AM UTC 2026
% Result : Theorem 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 23 unt; 7 def)
% Number of atoms : 121 ( 84 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 151 ( 66 ~; 54 |; 24 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 8 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,conjecture,
~ ( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5
& op(e6,e6) != e6
& ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 )
& ( op(e0,e0) != e0
| op(e1,e1) != e1
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e5,e5) != e5
| op(e6,e6) != e6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f8,negated_conjecture,
~ ~ ( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5
& op(e6,e6) != e6
& ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 )
& ( op(e0,e0) != e0
| op(e1,e1) != e1
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e5,e5) != e5
| op(e6,e6) != e6 ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
( op(e0,e0) != e0
& op(e1,e1) != e1
& op(e2,e2) != e2
& op(e3,e3) != e3
& op(e4,e4) != e4
& op(e5,e5) != e5
& op(e6,e6) != e6
& ( op(e0,e0) = e0
| op(e1,e1) = e1
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e4,e4) = e4
| op(e5,e5) = e5
| op(e6,e6) = e6 )
& ( op(e0,e0) != e0
| op(e1,e1) != e1
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e4,e4) != e4
| op(e5,e5) != e5
| op(e6,e6) != e6 ) ),
inference(flattening,[],[f8]) ).
fof(f528,plain,
( e0 = op(e0,e0)
| e1 = op(e1,e1)
| e2 = op(e2,e2)
| e3 = op(e3,e3)
| e4 = op(e4,e4)
| e5 = op(e5,e5)
| e6 = op(e6,e6) ),
inference(cnf_transformation,[],[f9]) ).
fof(f529,plain,
e6 != op(e6,e6),
inference(cnf_transformation,[],[f9]) ).
fof(f530,plain,
e5 != op(e5,e5),
inference(cnf_transformation,[],[f9]) ).
fof(f531,plain,
e4 != op(e4,e4),
inference(cnf_transformation,[],[f9]) ).
fof(f532,plain,
e3 != op(e3,e3),
inference(cnf_transformation,[],[f9]) ).
fof(f533,plain,
e2 != op(e2,e2),
inference(cnf_transformation,[],[f9]) ).
fof(f534,plain,
e1 != op(e1,e1),
inference(cnf_transformation,[],[f9]) ).
fof(f535,plain,
e0 != op(e0,e0),
inference(cnf_transformation,[],[f9]) ).
fof(f537,definition,
( spl0_1
<=> e6 = op(e6,e6) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f541,definition,
( spl0_2
<=> e5 = op(e5,e5) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f545,definition,
( spl0_3
<=> e4 = op(e4,e4) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f549,definition,
( spl0_4
<=> e3 = op(e3,e3) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f553,definition,
( spl0_5
<=> e2 = op(e2,e2) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f557,definition,
( spl0_6
<=> e1 = op(e1,e1) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f561,definition,
( spl0_7
<=> e0 = op(e0,e0) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f565,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f528,f561,f557,f553,f549,f545,f541,f537]) ).
fof(f566,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f529,f537]) ).
fof(f567,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f530,f541]) ).
fof(f568,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f531,f545]) ).
fof(f569,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f532,f549]) ).
fof(f570,plain,
~ spl0_5,
inference(avatar_split_clause,[],[f533,f553]) ).
fof(f571,plain,
~ spl0_6,
inference(avatar_split_clause,[],[f534,f557]) ).
fof(f572,plain,
~ spl0_7,
inference(avatar_split_clause,[],[f535,f561]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f565]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f566]) ).
cnf(s4,plain,
~ spl0_2,
inference(sat_conversion,[],[f567]) ).
cnf(s5,plain,
~ spl0_3,
inference(sat_conversion,[],[f568]) ).
cnf(s6,plain,
~ spl0_4,
inference(sat_conversion,[],[f569]) ).
cnf(s7,plain,
~ spl0_5,
inference(sat_conversion,[],[f570]) ).
cnf(s8,plain,
~ spl0_6,
inference(sat_conversion,[],[f571]) ).
cnf(s9,plain,
~ spl0_7,
inference(sat_conversion,[],[f572]) ).
cnf(s154,plain,
$false,
inference(rat,[],[s2,s9,s8,s7,s6,s5,s4,s3]) ).
fof(f2057,plain,
$false,
inference(avatar_sat_refutation,[],[s154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG199+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n020.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 19:42:35 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.23 Running first-order model finding
% 0.07/0.23 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
% 0.20/0.28 % (459292)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (459303)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4081385267:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.28 % (459298)% WARNING: option uhcvi not known.
% 0.20/0.28 % (459299)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1947075658:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28 % (459297)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2041217410_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.28 % (459298)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1346015209:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.28 % (459300)dis+10_1_sil=32000:sp=arity:random_seed=546737949:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.28 % (459301)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3449422836:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.28 % (459302)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1227762442:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.28 % (459303) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-459292-459303"...
% 0.20/0.28 % (459303)...printing done.
% 0.20/0.28 % (459303)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Theorem for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (459303)------------------------------
% 0.20/0.28 % (459303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (459303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (459303)CaDiCaL version: 2.1.3
% 0.20/0.28 % (459303)Termination reason: Refutation
% 0.20/0.28 % (459303)Time elapsed: 0.009 s
% 0.20/0.28 % (459303)Peak memory usage: 13 MB
% 0.20/0.28 % (459303)Instructions burned: 33 (million)
% 0.20/0.28 % (459292)Success in time 0.042 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------