%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC010-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 01:04:16 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 57 ( 13 unt; 7 def)
% Number of atoms : 150 ( 27 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 189 ( 96 ~; 86 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f218,negated_conjecture,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,cons(X0,nil)),X2) != sk2
| app(X1,X2) != sk1
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f219,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| sk2 != app(app(X1,cons(X0,nil)),X2)
| app(X1,X2) != sk1
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f218]) ).
fof(f220,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f221,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f222,negated_conjecture,
( ssList(sk7)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).
fof(f223,negated_conjecture,
( app(app(sk6,cons(sk5,nil)),sk7) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_20) ).
fof(f224,plain,
( sk4 = app(app(sk6,cons(sk5,nil)),sk7)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f223]) ).
fof(f225,negated_conjecture,
( app(sk6,sk7) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_21) ).
fof(f226,plain,
( sk3 = app(sk6,sk7)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f225]) ).
fof(f230,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f239,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| sk4 != app(app(X1,cons(X0,nil)),X2)
| app(X1,X2) != sk3
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f219,f204,f205]) ).
fof(f264,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f230]) ).
fof(f272,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f280,definition,
( spl0_3
<=> sk3 = app(sk6,sk7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f282,plain,
( sk3 = app(sk6,sk7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f283,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f226,f280,f272]) ).
fof(f285,definition,
( spl0_4
<=> sk4 = app(app(sk6,cons(sk5,nil)),sk7) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f287,plain,
( sk4 = app(app(sk6,cons(sk5,nil)),sk7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f288,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f224,f285,f272]) ).
fof(f290,definition,
( spl0_5
<=> ssList(sk7) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f292,plain,
( ssList(sk7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f293,plain,
( ~ spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f222,f290,f272]) ).
fof(f295,definition,
( spl0_6
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f297,plain,
( ssList(sk6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f298,plain,
( ~ spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f221,f295,f272]) ).
fof(f300,definition,
( spl0_7
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f302,plain,
( ssItem(sk5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f303,plain,
( ~ spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f220,f300,f272]) ).
fof(f305,definition,
( spl0_8
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| app(X1,X2) != sk3
| sk4 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f306,plain,
( ! [X2,X0,X1] :
( ~ ssItem(X0)
| app(X1,X2) != sk3
| sk4 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f307,plain,
( ~ spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f239,f305,f272]) ).
fof(f315,plain,
spl0_1,
inference(avatar_split_clause,[],[f264,f272]) ).
fof(f358,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) != sk3
| sk4 != app(app(X0,cons(sk5,nil)),X1) )
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f306,f302]) ).
fof(f362,plain,
( ! [X0] :
( ~ ssList(X0)
| sk3 != app(X0,sk7)
| sk4 != app(app(X0,cons(sk5,nil)),sk7) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f358,f292]) ).
fof(f557,plain,
( sk3 != app(sk6,sk7)
| sk4 != app(app(sk6,cons(sk5,nil)),sk7)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f362,f297]) ).
fof(f568,plain,
( sk4 != app(app(sk6,cons(sk5,nil)),sk7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f557,f282]) ).
fof(f596,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f568,f287]) ).
fof(f597,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f596]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f283]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f288]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f293]) ).
cnf(s5,plain,
( ~ spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f298]) ).
cnf(s6,plain,
( ~ spl0_1
| spl0_7 ),
inference(sat_conversion,[],[f303]) ).
cnf(s7,plain,
( ~ spl0_1
| spl0_8 ),
inference(sat_conversion,[],[f307]) ).
cnf(s15,plain,
spl0_1,
inference(sat_conversion,[],[f315]) ).
cnf(s45,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f597]) ).
cnf(s50,plain,
spl0_8,
inference(rat,[],[s7,s15]) ).
cnf(s51,plain,
spl0_7,
inference(rat,[],[s6,s15]) ).
cnf(s52,plain,
spl0_6,
inference(rat,[],[s5,s15]) ).
cnf(s53,plain,
spl0_5,
inference(rat,[],[s4,s15]) ).
cnf(s54,plain,
spl0_4,
inference(rat,[],[s3,s15]) ).
cnf(s55,plain,
~ spl0_3,
inference(rat,[],[s45,s50,s51,s52,s53,s54]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s2,s55,s15]) ).
fof(f598,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC010-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n001.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 07:31:05 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.45 % (187854)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (187863)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1827338913:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.45 % (187860)% WARNING: option uhcvi not known.
% 0.12/0.45 % (187863) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-187854-187863"...
% 0.12/0.45 % (187860)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1112239754:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.45 % (187859)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3071183465_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.45 % (187861)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2431846955:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.45 % (187862)dis+10_1_sil=32000:sp=arity:random_seed=1132172276:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.45 % (187863)...printing done.
% 0.12/0.45 % (187865)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=848406840:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.45 % (187864)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1850219853:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.45 % (187863)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (187863)------------------------------
% 0.12/0.46 % (187863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (187863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (187863)CaDiCaL version: 2.1.3
% 0.12/0.46 % (187863)Termination reason: Refutation
% 0.12/0.46 % (187863)Time elapsed: 0.007 s
% 0.12/0.46 % (187863)Peak memory usage: 13 MB
% 0.12/0.46 % (187863)Instructions burned: 19 (million)
% 0.12/0.46 % (187854)Success in time 0.035 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------