%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC205-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 01:05:05 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 14 unt; 3 def)
% Number of atoms : 62 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 28 ~; 24 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 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/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
~ neq(sk1,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( nil = sk4
| nil != sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f212,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f213,plain,
~ neq(sk3,nil),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f245,definition,
( spl0_1
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f246,plain,
( nil = sk4
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f249,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f251,plain,
( nil = sk3
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f253,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f208,f245,f249]) ).
fof(f259,definition,
( spl0_4
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f260,plain,
( ssList(nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f295,plain,
spl0_4,
inference(avatar_split_clause,[],[f8,f259]) ).
fof(f485,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3 ),
inference(resolution,[],[f102,f213]) ).
fof(f488,plain,
( ~ ssList(nil)
| nil = sk3 ),
inference(forward_subsumption_resolution,[],[f485,f202]) ).
fof(f489,plain,
( nil = sk3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f488,f260]) ).
fof(f492,plain,
( spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f489,f259,f249]) ).
fof(f496,plain,
( neq(nil,nil)
| ~ spl0_1 ),
inference(superposition,[],[f212,f246]) ).
fof(f501,plain,
( ~ neq(nil,nil)
| ~ spl0_2 ),
inference(superposition,[],[f213,f251]) ).
fof(f504,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f501,f496]) ).
fof(f505,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f504]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f253]) ).
cnf(s12,plain,
spl0_4,
inference(sat_conversion,[],[f295]) ).
cnf(s14,plain,
( spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f492]) ).
cnf(s16,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f505]) ).
cnf(s17,plain,
spl0_2,
inference(rat,[],[s14,s12]) ).
cnf(s18,plain,
~ spl0_1,
inference(rat,[],[s16,s17]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s2,s17,s18]) ).
fof(f506,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC205-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n001.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 08:33:03 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47 % (214201)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (214209)dis+10_1_sil=32000:sp=arity:random_seed=435356958:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (214207)% WARNING: option uhcvi not known.
% 0.17/0.47 % (214209) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-214201-214209"...
% 0.17/0.47 % (214208)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=21964386:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (214206)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=352432435_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (214210)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1831478764:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (214209)...printing done.
% 0.17/0.47 % (214207)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1886062593:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (214209)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (214209)------------------------------
% 0.17/0.47 % (214209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (214209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (214209)CaDiCaL version: 2.1.3
% 0.17/0.47 % (214209)Termination reason: Refutation
% 0.17/0.47 % (214209)Time elapsed: 0.006 s
% 0.17/0.47 % (214209)Peak memory usage: 12 MB
% 0.17/0.47 % (214209)Instructions burned: 13 (million)
% 0.17/0.47 % (214201)Success in time 0.037 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------