%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC411-1 : 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 : n026.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 01:03:52 PM UTC 2026
% Result : Unsatisfiable 2.22s 0.87s
% Output : Refutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 13 unt; 2 def)
% Number of atoms : 34 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 1 ( 0 sgn 1 !; 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,
! [X0] :
( ~ memberP(sk4,X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
memberP(sk2,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
~ memberP(sk1,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f212,plain,
memberP(sk4,sk5),
inference(definition_unfolding,[],[f208,f204]) ).
fof(f213,plain,
~ memberP(sk3,sk5),
inference(definition_unfolding,[],[f209,f205]) ).
fof(f312,plain,
( memberP(sk3,sk5)
| ~ ssItem(sk5) ),
inference(resolution,[],[f206,f212]) ).
fof(f314,definition,
( spl1_8
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f315,plain,
( ~ ssItem(sk5)
| spl1_8 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f317,definition,
( spl1_9
<=> memberP(sk3,sk5) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
fof(f318,plain,
( memberP(sk3,sk5)
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f319,plain,
( ~ spl1_8
| spl1_9 ),
inference(avatar_split_clause,[],[f312,f317,f314]) ).
fof(f320,plain,
( $false
| spl1_8 ),
inference(resolution,[],[f315,f207]) ).
fof(f321,plain,
spl1_8,
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f322,plain,
( $false
| ~ spl1_9 ),
inference(resolution,[],[f318,f213]) ).
fof(f323,plain,
~ spl1_9,
inference(avatar_contradiction_clause,[],[f322]) ).
cnf(s7,plain,
( ~ spl1_8
| spl1_9 ),
inference(sat_conversion,[],[f319]) ).
cnf(s8,plain,
spl1_8,
inference(sat_conversion,[],[f321]) ).
cnf(s9,plain,
~ spl1_9,
inference(sat_conversion,[],[f323]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s7,s9,s8]) ).
fof(f324,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC411-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n026.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 09:34:56 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 2.22/0.87 % (3723357)Input is clausal, will run a generic CNF schedule.
% 2.22/0.87 % (3723368)dis-21_1_sil=8000:lcm=predicate:random_seed=1706091558: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)
% 2.22/0.87 % (3723368)First to succeed.
% 2.22/0.87 % (3723368)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3723357"
% 2.22/0.87 % (3723366)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2619201289:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.22/0.87 % (3723363)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3010049745:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.22/0.87 % (3723365)lrs+10_1_sil=8000:sp=occurrence:random_seed=474836824:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.22/0.87 % (3723364)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4055389350:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.22/0.87 % (3723367)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=982625973:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.22/0.87 % (3723362)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=3704738611:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.22/0.87 % (3723366)Also succeeded, but the first one will report.
% 2.22/0.87 % (3723365)Also succeeded, but the first one will report.
% 2.22/0.87 % (3723367)Also succeeded, but the first one will report.
% 2.22/0.87 % (3723368)Refutation found. Thanks to Tanya!
% 2.22/0.87 % SZS status Unsatisfiable for theBenchmark
% 2.22/0.87 % SZS output start Proof for theBenchmark
% See solution above
% 2.22/0.87 % (3723368)------------------------------
% 2.22/0.87 % (3723368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.22/0.87 % (3723368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.87 % (3723368)CaDiCaL version: 2.1.3
% 2.22/0.87 % (3723368)Termination reason: Refutation
% 2.22/0.87 % (3723368)Time elapsed: 0.003 s
% 2.22/0.87 % (3723368)Peak memory usage: 89 MB
% 2.22/0.87 % (3723368)Instructions burned: 5 (million)
% 2.22/0.87 % (3723368)------------------------------
% 2.22/0.87 % (3723368)------------------------------
% 2.22/0.87 % (3723357)Success in time 0.263 s
% 2.22/0.87 % Vampire exiting
%------------------------------------------------------------------------------