%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC385-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 01:05:49 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.24s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 12 unt; 3 def)
% Number of atoms : 36 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 9 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ~ singletonP(sk1)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f212,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f213,plain,
( ~ singletonP(sk3)
| ~ segmentP(sk4,sk3) ),
inference(definition_unfolding,[],[f209,f205,f204,f205]) ).
fof(f307,plain,
( ~ singletonP(sk3)
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f208]) ).
fof(f308,plain,
( singletonP(sk3)
| ~ segmentP(sk4,sk3) ),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f316,definition,
( spl0_1
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f320,definition,
( spl0_2
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f323,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f308,f320,f316]) ).
fof(f325,definition,
( spl0_3
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f328,plain,
( ~ spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f307,f320,f325]) ).
fof(f329,plain,
spl0_1,
inference(avatar_split_clause,[],[f207,f316]) ).
fof(f330,plain,
spl0_3,
inference(avatar_split_clause,[],[f212,f325]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f323]) ).
cnf(s2,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f328]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f329]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f330]) ).
cnf(s19,plain,
~ spl0_2,
inference(rat,[],[s2,s4]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s1,s19,s3]) ).
fof(f373,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC385-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.16 % Computer : n001.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 09:31:09 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 Running first-order model finding
% 0.09/0.19 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.24 % (242849)Will run a generic schedule for satisfiability detection.
% 0.09/0.24 % (242855)% WARNING: option uhcvi not known.
% 0.09/0.24 % (242854)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3866755809_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.24 % (242857)dis+10_1_sil=32000:sp=arity:random_seed=2295370856:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.24 % (242858)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=702108233:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.24 % (242856)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=617850368:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.24 % (242859)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=478519131:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.24 % (242860)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1990352933:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.24 % (242855)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2097746878:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.24 % (242856) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-242849-242856"...
% 0.09/0.24 % (242855) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-242849-242855"...
% 0.09/0.24 % (242857) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-242849-242857"...
% 0.09/0.24 % (242855)...printing done.
% 0.09/0.24 % (242856)...printing done.
% 0.09/0.24 % (242857)...printing done.
% 0.09/0.24 % (242855)Refutation found. Thanks to Tanya!
% 0.09/0.24 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.24 % (242855)------------------------------
% 0.09/0.24 % (242855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (242855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (242855)CaDiCaL version: 2.1.3
% 0.09/0.24 % (242855)Termination reason: Refutation
% 0.09/0.24 % (242855)Time elapsed: 0.001 s
% 0.09/0.24 % (242855)Peak memory usage: 12 MB
% 0.09/0.24 % (242855)Instructions burned: 4 (million)
% 0.09/0.24 % (242849)Success in time 0.037 s
% 0.09/0.24 % Vampire exiting
%------------------------------------------------------------------------------