%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC185-1 : 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 : 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 01:02:50 PM UTC 2026
% Result : Unsatisfiable 2.50s 1.36s
% Output : Refutation 2.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 15 unt; 2 def)
% Number of atoms : 81 ( 10 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 103 ( 58 ~; 43 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,cons(X0,nil)),X2) != sk3
| ~ memberP(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,plain,
! [X2,X0,X1] :
( sk3 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ memberP(X1,X0) ),
inference(reorient_equations,[],[f206]) ).
fof(f208,negated_conjecture,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,cons(X0,nil)),X2) != sk3
| ~ memberP(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f209,plain,
! [X2,X0,X1] :
( sk3 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ memberP(X2,X0) ),
inference(reorient_equations,[],[f208]) ).
fof(f210,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f211,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f212,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f213,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
sk1 = app(app(sk6,cons(sk5,nil)),sk7),
inference(reorient_equations,[],[f213]) ).
fof(f215,negated_conjecture,
( memberP(sk6,sk5)
| memberP(sk7,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f218,plain,
sk3 = app(app(sk6,cons(sk5,nil)),sk7),
inference(definition_unfolding,[],[f214,f205]) ).
fof(f226,definition,
( spl0_1
<=> memberP(sk7,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f228,plain,
( memberP(sk7,sk5)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f230,definition,
( spl0_2
<=> memberP(sk6,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f232,plain,
( memberP(sk6,sk5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f233,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f215,f230,f226]) ).
fof(f234,plain,
( sk3 != sk3
| ~ ssList(sk6)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ memberP(sk6,sk5) ),
inference(superposition,[],[f207,f218]) ).
fof(f235,plain,
( ~ ssList(sk6)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ memberP(sk6,sk5) ),
inference(trivial_inequality_removal,[],[f234]) ).
fof(f236,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ memberP(sk6,sk5) ),
inference(forward_subsumption_resolution,[],[f235,f211]) ).
fof(f237,plain,
( ~ ssItem(sk5)
| ~ memberP(sk6,sk5) ),
inference(forward_subsumption_resolution,[],[f236,f212]) ).
fof(f238,plain,
~ memberP(sk6,sk5),
inference(forward_subsumption_resolution,[],[f237,f210]) ).
fof(f239,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f238,f232]) ).
fof(f240,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f239]) ).
fof(f241,plain,
( sk3 != sk3
| ~ ssList(sk6)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ memberP(sk7,sk5) ),
inference(superposition,[],[f209,f218]) ).
fof(f242,plain,
( ~ ssList(sk6)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ memberP(sk7,sk5) ),
inference(trivial_inequality_removal,[],[f241]) ).
fof(f243,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ memberP(sk7,sk5) ),
inference(forward_subsumption_resolution,[],[f242,f211]) ).
fof(f244,plain,
( ~ ssItem(sk5)
| ~ memberP(sk7,sk5) ),
inference(forward_subsumption_resolution,[],[f243,f212]) ).
fof(f245,plain,
~ memberP(sk7,sk5),
inference(forward_subsumption_resolution,[],[f244,f210]) ).
fof(f246,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f245,f228]) ).
fof(f247,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f246]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f233]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f240]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f247]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f248,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC185-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n001.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Mon Sep 28 08:27:03 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 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
% 2.50/1.36 % (210308)Input is clausal, will run a generic CNF schedule.
% 2.50/1.36 % (210316)lrs+10_1_sil=8000:sp=occurrence:random_seed=553749568:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.50/1.36 % (210316)First to succeed.
% 2.50/1.36 % (210316)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-210308"
% 2.50/1.36 % (210314)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=383642326:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.50/1.36 % (210315)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2401788973:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.50/1.36 % (210313)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=31818982:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.50/1.36 % (210317)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=541061608:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.50/1.36 % (210318)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1520911868:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.50/1.36 % (210317)Also succeeded, but the first one will report.
% 2.50/1.36 % (210318)Also succeeded, but the first one will report.
% 2.50/1.36 % (210319)dis-21_1_sil=8000:lcm=predicate:random_seed=3522837804: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)
% 2.50/1.36 % (210319)Also succeeded, but the first one will report.
% 2.50/1.36 % (210316)Refutation found. Thanks to Tanya!
% 2.50/1.36 % SZS status Unsatisfiable for theBenchmark
% 2.50/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 2.50/1.36 % (210316)------------------------------
% 2.50/1.36 % (210316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.36 % (210316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.36 % (210316)CaDiCaL version: 2.1.3
% 2.50/1.36 % (210316)Termination reason: Refutation
% 2.50/1.36 % (210316)Time elapsed: 0.002 s
% 2.50/1.36 % (210316)Peak memory usage: 89 MB
% 2.50/1.36 % (210316)Instructions burned: 3 (million)
% 2.50/1.36 % (210316)------------------------------
% 2.50/1.36 % (210316)------------------------------
% 2.50/1.36 % (210308)Success in time 0.276 s
% 2.50/1.36 % Vampire exiting
%------------------------------------------------------------------------------