%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC032-1 : 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 : n006.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 01:02:07 PM UTC 2026
% Result : Unsatisfiable 2.69s 1.35s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 34 ( 10 unt; 2 def)
% Number of atoms : 68 ( 27 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 65 ( 31 ~; 32 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(reorient_equations,[],[f121]) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
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,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,plain,
sk4 = app(sk3,sk5),
inference(reorient_equations,[],[f207]) ).
fof(f212,negated_conjecture,
( nil = sk4
| nil != sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f213,negated_conjecture,
( nil = sk2
| nil = sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f216,negated_conjecture,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f219,plain,
( nil = sk4
| nil = sk3 ),
inference(definition_unfolding,[],[f213,f204,f205]) ).
fof(f222,plain,
( nil != sk3
| nil != sk4 ),
inference(definition_unfolding,[],[f216,f205,f204]) ).
fof(f231,definition,
( spl0_1
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f232,plain,
( nil = sk4
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f235,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f237,plain,
( nil != sk3
| spl0_2 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f238,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f222,f235,f231]) ).
fof(f239,plain,
( spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f219,f231,f235]) ).
fof(f240,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f212,f231,f235]) ).
fof(f264,plain,
( nil != sk4
| ~ ssList(sk5)
| ~ ssList(sk3)
| nil = sk3 ),
inference(superposition,[],[f122,f208]) ).
fof(f267,plain,
( ~ ssList(sk5)
| ~ ssList(sk3)
| nil = sk3
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f264,f232]) ).
fof(f268,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f267,f206]) ).
fof(f269,plain,
( nil = sk3
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f268,f202]) ).
fof(f270,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f269,f237]) ).
fof(f271,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f270]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f238]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f239]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f240]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f271]) ).
cnf(s5,plain,
spl0_1,
inference(rat,[],[s2,s3]) ).
cnf(s6,plain,
spl0_2,
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s6,s5]) ).
fof(f272,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC032-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 07:31:10 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 2.69/1.35 % (3798916)Input is clausal, will run a generic CNF schedule.
% 2.69/1.35 % (3798924)lrs+10_1_sil=8000:sp=occurrence:random_seed=743333922:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.69/1.35 % (3798924)First to succeed.
% 2.69/1.35 % (3798924)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3798916"
% 2.69/1.35 % (3798925)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4167798811:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.69/1.35 % (3798927)dis-21_1_sil=8000:lcm=predicate:random_seed=1505740766: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)
% 2.69/1.35 % (3798922)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2815550483:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.69/1.35 % (3798921)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=3649120734:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.69/1.35 % (3798923)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4056525721:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.69/1.35 % (3798926)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=874790522:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.69/1.35 % (3798925)Also succeeded, but the first one will report.
% 2.69/1.35 % (3798926)Also succeeded, but the first one will report.
% 2.69/1.35 % (3798927)Instruction limit reached!
% 2.69/1.35 % (3798927)------------------------------
% 2.69/1.35 % (3798927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.35 % (3798927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.35 % (3798927)CaDiCaL version: 2.1.3
% 2.69/1.35 % (3798927)Termination reason: Instruction limit
% 2.69/1.35 % (3798927)Termination phase: Saturation
% 2.69/1.35 % (3798927)Time elapsed: 0.054 s
% 2.69/1.35 % (3798927)Peak memory usage: 89 MB
% 2.69/1.35 % (3798927)Instructions burned: 117 (million)
% 2.69/1.35 % (3798924)Refutation found. Thanks to Tanya!
% 2.69/1.35 % SZS status Unsatisfiable for theBenchmark
% 2.69/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 2.69/1.35 % (3798924)------------------------------
% 2.69/1.35 % (3798924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.69/1.35 % (3798924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/1.35 % (3798924)CaDiCaL version: 2.1.3
% 2.69/1.35 % (3798924)Termination reason: Refutation
% 2.69/1.35 % (3798924)Time elapsed: 0.003 s
% 2.69/1.35 % (3798924)Peak memory usage: 90 MB
% 2.69/1.35 % (3798924)Instructions burned: 5 (million)
% 2.69/1.35 % (3798924)------------------------------
% 2.69/1.35 % (3798924)------------------------------
% 2.69/1.35 % (3798916)Success in time 0.299 s
% 2.69/1.35 % Vampire exiting
%------------------------------------------------------------------------------