%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC011-1 : 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 : n004.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 0.13s 0.45s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of formulae : 60 ( 14 unt; 8 def)
% Number of atoms : 152 ( 28 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 183 ( 91 ~; 84 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 22 !; 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(f217,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_15) ).
fof(f218,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,[],[f217]) ).
fof(f219,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f220,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f221,negated_conjecture,
( ssList(sk7)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f222,negated_conjecture,
( app(app(sk6,cons(sk5,nil)),sk7) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).
fof(f223,plain,
( sk4 = app(app(sk6,cons(sk5,nil)),sk7)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f222]) ).
fof(f224,negated_conjecture,
( app(sk6,sk7) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_20) ).
fof(f225,plain,
( sk3 = app(sk6,sk7)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f224]) ).
fof(f228,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f236,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,[],[f218,f204,f205]) ).
fof(f378,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(consistent_polarity_flipping,[],[f236]) ).
fof(f379,plain,
( ~ ssItem(sk5)
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f219]) ).
fof(f380,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f228]) ).
fof(f388,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f392,definition,
( spl0_2
<=> sk3 = app(sk6,sk7) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f394,plain,
( sk3 = app(sk6,sk7)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f395,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f225,f392,f388]) ).
fof(f397,definition,
( spl0_3
<=> sk4 = app(app(sk6,cons(sk5,nil)),sk7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f399,plain,
( sk4 = app(app(sk6,cons(sk5,nil)),sk7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f400,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f223,f397,f388]) ).
fof(f402,definition,
( spl0_4
<=> ssList(sk7) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f405,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f221,f402,f388]) ).
fof(f407,definition,
( spl0_5
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f410,plain,
( ~ spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f220,f407,f388]) ).
fof(f412,definition,
( spl0_6
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f415,plain,
( ~ spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f379,f412,f388]) ).
fof(f417,definition,
( spl0_7
<=> ! [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_7])],[avatar_definition]) ).
fof(f418,plain,
( ! [X2,X0,X1] :
( app(X1,X2) != sk3
| ssItem(X0)
| sk4 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f419,plain,
( ~ spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f378,f417,f388]) ).
fof(f426,plain,
spl0_1,
inference(avatar_split_clause,[],[f380,f388]) ).
fof(f469,plain,
( ! [X0] :
( sk3 != sk3
| ssItem(X0)
| sk4 != app(app(sk6,cons(X0,nil)),sk7)
| ~ ssList(sk7)
| ~ ssList(sk6) )
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f418,f394]) ).
fof(f471,plain,
( ! [X0] :
( ssItem(X0)
| sk4 != app(app(sk6,cons(X0,nil)),sk7)
| ~ ssList(sk7)
| ~ ssList(sk6) )
| ~ spl0_2
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f469]) ).
fof(f485,definition,
( spl0_20
<=> ! [X0] :
( ssItem(X0)
| sk4 != app(app(sk6,cons(X0,nil)),sk7) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f486,plain,
( ! [X0] :
( sk4 != app(app(sk6,cons(X0,nil)),sk7)
| ssItem(X0) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f487,plain,
( ~ spl0_5
| ~ spl0_4
| spl0_20
| ~ spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f471,f417,f392,f485,f402,f407]) ).
fof(f488,plain,
( sk4 != sk4
| ssItem(sk5)
| ~ spl0_3
| ~ spl0_20 ),
inference(superposition,[],[f486,f399]) ).
fof(f489,plain,
( ssItem(sk5)
| ~ spl0_3
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f488]) ).
fof(f490,plain,
( spl0_6
| ~ spl0_3
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f489,f485,f397,f412]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f395]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f400]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f405]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f410]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_6 ),
inference(sat_conversion,[],[f415]) ).
cnf(s6,plain,
( ~ spl0_1
| spl0_7 ),
inference(sat_conversion,[],[f419]) ).
cnf(s13,plain,
spl0_1,
inference(sat_conversion,[],[f426]) ).
cnf(s25,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_20 ),
inference(sat_conversion,[],[f487]) ).
cnf(s26,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_20 ),
inference(sat_conversion,[],[f490]) ).
cnf(s31,plain,
spl0_7,
inference(rat,[],[s6,s13]) ).
cnf(s32,plain,
~ spl0_6,
inference(rat,[],[s5,s13]) ).
cnf(s33,plain,
spl0_5,
inference(rat,[],[s4,s13]) ).
cnf(s34,plain,
spl0_4,
inference(rat,[],[s3,s13]) ).
cnf(s35,plain,
spl0_3,
inference(rat,[],[s2,s13]) ).
cnf(s36,plain,
~ spl0_20,
inference(rat,[],[s26,s32,s35]) ).
cnf(s37,plain,
~ spl0_2,
inference(rat,[],[s25,s34,s31,s33,s36]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s1,s37,s13]) ).
fof(f491,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC011-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.37 % Computer : n004.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Mon Sep 28 07:25:22 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 Running first-order model finding
% 0.13/0.40 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
% 0.13/0.45 % (178384)Will run a generic schedule for satisfiability detection.
% 0.13/0.45 % (178395)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1766138358:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.45 % (178390)% WARNING: option uhcvi not known.
% 0.13/0.45 % (178395) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-178384-178395"...
% 0.13/0.45 % (178395)...printing done.
% 0.13/0.45 % (178395)Refutation found. Thanks to Tanya!
% 0.13/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.45 % (178395)------------------------------
% 0.13/0.45 % (178395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.45 % (178395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.45 % (178395)CaDiCaL version: 2.1.3
% 0.13/0.45 % (178395)Termination reason: Refutation
% 0.13/0.45 % (178395)Time elapsed: 0.004 s
% 0.13/0.45 % (178395)Peak memory usage: 13 MB
% 0.13/0.45 % (178395)Instructions burned: 10 (million)
% 0.13/0.45 % (178384)Success in time 0.037 s
% 0.13/0.45 % Vampire exiting
%------------------------------------------------------------------------------