%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC210-1 : 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 : n020.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 01:02:57 PM UTC 2026
% Result : Unsatisfiable 2.69s 1.36s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 44 ( 15 unt; 5 def)
% Number of atoms : 87 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 77 ( 34 ~; 38 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f200,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
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)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f210,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( ~ neq(sk1,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f236,plain,
neq(sk2,nil),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f244,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f246,plain,
( ~ neq(sk4,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f248,definition,
( spl0_2
<=> neq(sk1,nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f250,plain,
( ~ neq(sk1,nil)
| spl0_2 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f251,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f211,f248,f244]) ).
fof(f253,definition,
( spl0_3
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f255,plain,
( singletonP(sk3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f256,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f210,f253,f244]) ).
fof(f258,definition,
( spl0_4
<=> neq(sk2,nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f264,plain,
spl0_4,
inference(avatar_split_clause,[],[f236,f258]) ).
fof(f270,definition,
( spl0_6
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f271,plain,
( ssList(nil)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f306,plain,
spl0_6,
inference(avatar_split_clause,[],[f8,f270]) ).
fof(f309,plain,
( ~ neq(sk2,nil)
| spl0_1 ),
inference(forward_demodulation,[],[f246,f204]) ).
fof(f310,plain,
( ~ spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f309,f244,f258]) ).
fof(f312,plain,
( singletonP(sk1)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f255,f205]) ).
fof(f333,plain,
( ~ ssList(sk1)
| ~ ssList(nil)
| nil = sk1
| spl0_2 ),
inference(resolution,[],[f102,f250]) ).
fof(f336,plain,
( ~ ssList(nil)
| nil = sk1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f333,f200]) ).
fof(f337,plain,
( nil = sk1
| spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f336,f271]) ).
fof(f339,plain,
( singletonP(nil)
| spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f312,f337]) ).
fof(f341,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f339,f11]) ).
fof(f342,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f341]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f251]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f256]) ).
cnf(s6,plain,
spl0_4,
inference(sat_conversion,[],[f264]) ).
cnf(s16,plain,
spl0_6,
inference(sat_conversion,[],[f306]) ).
cnf(s17,plain,
( spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f310]) ).
cnf(s19,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(sat_conversion,[],[f342]) ).
cnf(s24,plain,
spl0_1,
inference(rat,[],[s17,s6]) ).
cnf(s25,plain,
spl0_3,
inference(rat,[],[s2,s24]) ).
cnf(s26,plain,
spl0_2,
inference(rat,[],[s19,s16,s25]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s1,s26,s24]) ).
fof(f343,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC210-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n020.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 08:28:50 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 2.69/1.36 % (33242)Input is clausal, will run a generic CNF schedule.
% 2.69/1.36 % (33252)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=254198378:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.69/1.36 % (33252)First to succeed.
% 2.69/1.36 % (33252)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-33242"
% 2.69/1.36 % (33250)lrs+10_1_sil=8000:sp=occurrence:random_seed=204550381:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.69/1.36 % (33247)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=3086578940:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.69/1.36 % (33248)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2941359385:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.69/1.36 % (33249)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2176340208:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.69/1.36 % (33251)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1965859840:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.69/1.36 % (33250)Also succeeded, but the first one will report.
% 2.69/1.36 % (33251)Also succeeded, but the first one will report.
% 2.69/1.36 % (33253)dis-21_1_sil=8000:lcm=predicate:random_seed=516823118: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)
% 2.69/1.36 % (33253)Instruction limit reached!
% 2.69/1.36 % (33253)------------------------------
% 2.69/1.36 % (33253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.36 % (33253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.36 % (33253)CaDiCaL version: 2.1.3
% 2.69/1.36 % (33253)Termination reason: Instruction limit
% 2.69/1.36 % (33253)Termination phase: Saturation
% 2.69/1.36 % (33253)Time elapsed: 0.049 s
% 2.69/1.36 % (33253)Peak memory usage: 89 MB
% 2.69/1.36 % (33253)Instructions burned: 117 (million)
% 2.69/1.36 % (33252)Refutation found. Thanks to Tanya!
% 2.69/1.36 % SZS status Unsatisfiable for theBenchmark
% 2.69/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 2.69/1.36 % (33252)------------------------------
% 2.69/1.36 % (33252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.36 % (33252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.36 % (33252)CaDiCaL version: 2.1.3
% 2.69/1.36 % (33252)Termination reason: Refutation
% 2.69/1.36 % (33252)Time elapsed: 0.004 s
% 2.69/1.36 % (33252)Peak memory usage: 90 MB
% 2.69/1.36 % (33252)Instructions burned: 9 (million)
% 2.69/1.36 % (33252)------------------------------
% 2.69/1.36 % (33252)------------------------------
% 2.69/1.36 % (33242)Success in time 0.298 s
% 2.69/1.36 % Vampire exiting
%------------------------------------------------------------------------------