%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC209-1 : 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 : n008.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 01:05:06 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.46s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 12 unt; 3 def)
% Number of atoms : 51 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 17 ~; 19 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 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,
~ neq(sk1,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( nil = sk4
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f210,negated_conjecture,
( nil = sk3
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f214,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f215,plain,
~ neq(sk3,nil),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f251,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f253,plain,
( nil = sk3
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f256,definition,
( spl0_3
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f257,plain,
( ~ neq(sk3,nil)
| spl0_3 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f259,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f210,f251,f256]) ).
fof(f261,definition,
( spl0_4
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f263,plain,
( nil = sk4
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f265,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f208,f261,f256]) ).
fof(f266,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f215,f256]) ).
fof(f311,plain,
( ~ neq(nil,nil)
| ~ spl0_2
| spl0_3 ),
inference(forward_demodulation,[],[f257,f253]) ).
fof(f312,plain,
( neq(nil,nil)
| ~ spl0_4 ),
inference(superposition,[],[f214,f263]) ).
fof(f315,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f312,f311]) ).
fof(f316,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f315]) ).
cnf(s2,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f259]) ).
cnf(s4,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f265]) ).
cnf(s5,plain,
~ spl0_3,
inference(sat_conversion,[],[f266]) ).
cnf(s18,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f316]) ).
cnf(s23,plain,
spl0_4,
inference(rat,[],[s4,s5]) ).
cnf(s24,plain,
~ spl0_2,
inference(rat,[],[s18,s5,s23]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s2,s5,s24]) ).
fof(f317,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC209-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n008.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 08:28:40 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 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
% 0.09/0.46 % (2098544)Will run a generic schedule for satisfiability detection.
% 0.09/0.46 % (2098549)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1179063637_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.46 % (2098550)% WARNING: option uhcvi not known.
% 0.09/0.46 % TRYING [1]
% 0.09/0.46 % TRYING [2]
% 0.09/0.46 % (2098550)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1067330893:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.46 % (2098551)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1986014546:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.46 % (2098552)dis+10_1_sil=32000:sp=arity:random_seed=808096842:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.46 % (2098553)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=571926208:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.46 % (2098555)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1401209553:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.46 % (2098554)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1200565639:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.46 % TRYING [3]
% 0.09/0.46 % (2098550) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2098544-2098550"...
% 0.09/0.46 % (2098552) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2098544-2098552"...
% 0.09/0.46 % (2098551) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2098544-2098551"...
% 0.09/0.46 % (2098550)...printing done.
% 0.09/0.46 % (2098552)...printing done.
% 0.09/0.46 % (2098554) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2098544-2098554"...
% 0.09/0.46 % (2098552)Refutation found. Thanks to Tanya!
% 0.09/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.46 % (2098552)------------------------------
% 0.09/0.46 % (2098552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.46 % (2098552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.46 % (2098552)CaDiCaL version: 2.1.3
% 0.09/0.46 % (2098552)Termination reason: Refutation
% 0.09/0.46 % (2098552)Time elapsed: 0.004 s
% 0.09/0.46 % (2098552)Peak memory usage: 12 MB
% 0.09/0.46 % (2098552)Instructions burned: 4 (million)
% 0.09/0.46 % (2098544)Success in time 0.041 s
% 0.09/0.46 % Vampire exiting
%------------------------------------------------------------------------------