%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC103-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 01:02:27 PM UTC 2026
% Result : Unsatisfiable 2.54s 1.25s
% Output : Refutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 10 unt; 3 def)
% Number of atoms : 40 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 12 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 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/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f208,negated_conjecture,
( ~ neq(sk1,nil)
| ~ frontsegP(sk2,sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( ~ neq(sk4,nil)
| frontsegP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f213,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f214,plain,
( ~ neq(sk3,nil)
| ~ frontsegP(sk4,sk3) ),
inference(definition_unfolding,[],[f208,f205,f204,f205]) ).
fof(f234,definition,
( spl0_4
<=> frontsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f237,definition,
( spl0_5
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f238,plain,
( ~ neq(sk4,nil)
| spl0_5 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f239,plain,
( spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f210,f237,f234]) ).
fof(f241,definition,
( spl0_6
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f243,plain,
( spl0_6
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f209,f237,f241]) ).
fof(f246,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f214,f241,f234]) ).
fof(f254,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f238,f213]) ).
fof(f255,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f254]) ).
cnf(s3,plain,
( spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f239]) ).
cnf(s4,plain,
( ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f243]) ).
cnf(s5,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f246]) ).
cnf(s7,plain,
spl0_5,
inference(sat_conversion,[],[f255]) ).
cnf(s8,plain,
spl0_6,
inference(rat,[],[s4,s7]) ).
cnf(s9,plain,
~ spl0_4,
inference(rat,[],[s5,s8]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s3,s7,s9]) ).
fof(f256,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC103-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n008.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 07:54:10 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.54/1.25 % (2088510)Input is clausal, will run a generic CNF schedule.
% 2.54/1.25 % (2088519)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2839033646:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.54/1.25 % (2088519)First to succeed.
% 2.54/1.25 % (2088519)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2088510"
% 2.54/1.25 % (2088516)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3706484707:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.54/1.25 % (2088520)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=285157068:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.54/1.25 % (2088515)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1181899954:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.54/1.25 % (2088517)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3820268261:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.54/1.25 % (2088521)dis-21_1_sil=8000:lcm=predicate:random_seed=3999205323:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.54/1.25 % (2088518)lrs+10_1_sil=8000:sp=occurrence:random_seed=3077094191:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.54/1.25 % (2088518)Also succeeded, but the first one will report.
% 2.54/1.25 % (2088521)Also succeeded, but the first one will report.
% 2.54/1.25 % (2088520)Also succeeded, but the first one will report.
% 2.54/1.25 % (2088519)Refutation found. Thanks to Tanya!
% 2.54/1.25 % SZS status Unsatisfiable for theBenchmark
% 2.54/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 2.54/1.25 % (2088519)------------------------------
% 2.54/1.25 % (2088519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.25 % (2088519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.25 % (2088519)CaDiCaL version: 2.1.3
% 2.54/1.25 % (2088519)Termination reason: Refutation
% 2.54/1.25 % (2088519)Time elapsed: 0.002 s
% 2.54/1.25 % (2088519)Peak memory usage: 89 MB
% 2.54/1.25 % (2088519)Instructions burned: 2 (million)
% 2.54/1.25 % (2088519)------------------------------
% 2.54/1.25 % (2088519)------------------------------
% 2.54/1.25 % (2088510)Success in time 0.293 s
% 2.54/1.25 % Vampire exiting
%------------------------------------------------------------------------------