%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC328-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 01:03:29 PM UTC 2026
% Result : Unsatisfiable 2.51s 1.11s
% Output : Refutation 2.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 12 unt; 2 def)
% Number of atoms : 38 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
nil = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ equalelemsP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f210,plain,
( ~ segmentP(sk4,sk3)
| ~ equalelemsP(sk3) ),
inference(definition_unfolding,[],[f207,f205,f206,f206]) ).
fof(f223,plain,
equalelemsP(sk3),
inference(definition_unfolding,[],[f1,f204]) ).
fof(f226,plain,
! [X0] :
( segmentP(X0,sk3)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f56,f204]) ).
fof(f358,definition,
( spl1_8
<=> equalelemsP(sk3) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f359,plain,
( ~ equalelemsP(sk3)
| spl1_8 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f361,definition,
( spl1_9
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
fof(f362,plain,
( ~ segmentP(sk4,sk3)
| spl1_9 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f363,plain,
( ~ spl1_8
| ~ spl1_9 ),
inference(avatar_split_clause,[],[f210,f361,f358]) ).
fof(f366,plain,
( ~ ssList(sk4)
| spl1_9 ),
inference(resolution,[],[f226,f362]) ).
fof(f367,plain,
( $false
| spl1_9 ),
inference(resolution,[],[f366,f203]) ).
fof(f368,plain,
spl1_9,
inference(avatar_contradiction_clause,[],[f367]) ).
fof(f369,plain,
( $false
| spl1_8 ),
inference(resolution,[],[f359,f223]) ).
fof(f370,plain,
spl1_8,
inference(avatar_contradiction_clause,[],[f369]) ).
cnf(s7,plain,
( ~ spl1_8
| ~ spl1_9 ),
inference(sat_conversion,[],[f363]) ).
cnf(s9,plain,
spl1_9,
inference(sat_conversion,[],[f368]) ).
cnf(s10,plain,
spl1_8,
inference(sat_conversion,[],[f370]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s7,s9,s10]) ).
fof(f371,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC328-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n019.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 09:06:34 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.51/1.11 % (3864491)Input is clausal, will run a generic CNF schedule.
% 2.51/1.11 % (3864502)dis-21_1_sil=8000:lcm=predicate:random_seed=3992794475: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)
% 2.51/1.11 % (3864502)First to succeed.
% 2.51/1.11 % (3864502)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3864491"
% 2.51/1.11 % (3864497)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1501183473:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.51/1.11 % (3864499)lrs+10_1_sil=8000:sp=occurrence:random_seed=4012453699:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.51/1.11 % (3864496)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=4108436723:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.51/1.11 % (3864500)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2668885068:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.51/1.11 % (3864498)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=746368995:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.51/1.11 % (3864501)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4018401280:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.51/1.11 % (3864499)Also succeeded, but the first one will report.
% 2.51/1.11 % (3864500)Also succeeded, but the first one will report.
% 2.51/1.11 % (3864501)Also succeeded, but the first one will report.
% 2.51/1.11 % (3864502)Refutation found. Thanks to Tanya!
% 2.51/1.11 % SZS status Unsatisfiable for theBenchmark
% 2.51/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 2.51/1.11 % (3864502)------------------------------
% 2.51/1.11 % (3864502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.51/1.11 % (3864502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/1.11 % (3864502)CaDiCaL version: 2.1.3
% 2.51/1.11 % (3864502)Termination reason: Refutation
% 2.51/1.11 % (3864502)Time elapsed: 0.003 s
% 2.51/1.11 % (3864502)Peak memory usage: 89 MB
% 2.51/1.11 % (3864502)Instructions burned: 5 (million)
% 2.51/1.11 % (3864502)------------------------------
% 2.51/1.11 % (3864502)------------------------------
% 2.51/1.11 % (3864491)Success in time 0.273 s
% 2.51/1.11 % Vampire exiting
%------------------------------------------------------------------------------