%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC189-1 : 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 : n008.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 01:05:02 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.43s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 46 ( 23 unt; 5 def)
% Number of atoms : 94 ( 17 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 89 ( 41 ~; 43 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| X0 = X1
| app(app(app(X2,cons(X0,nil)),cons(X1,nil)),X3) != sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| X0 = X1
| sk3 != app(app(app(X2,cons(X0,nil)),cons(X1,nil)),X3) ),
inference(reorient_equations,[],[f206]) ).
fof(f208,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f210,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f211,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f212,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
sk1 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(reorient_equations,[],[f212]) ).
fof(f214,negated_conjecture,
sk5 != sk6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f217,plain,
sk3 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(definition_unfolding,[],[f213,f205]) ).
fof(f368,plain,
! [X2,X3,X0,X1] :
( sk3 != app(app(app(X2,cons(X0,nil)),cons(X1,nil)),X3)
| ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| X0 = X1
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f207]) ).
fof(f369,plain,
~ ssItem(sk5),
inference(consistent_polarity_flipping,[],[f208]) ).
fof(f370,plain,
~ ssItem(sk6),
inference(consistent_polarity_flipping,[],[f209]) ).
fof(f419,plain,
( sk3 != sk3
| ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(sk8)
| sk5 = sk6
| ssItem(sk5) ),
inference(superposition,[],[f368,f217]) ).
fof(f420,plain,
( ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(sk8)
| sk5 = sk6
| ssItem(sk5) ),
inference(trivial_inequality_removal,[],[f419]) ).
fof(f422,definition,
( spl0_10
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f424,plain,
( ssItem(sk5)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f426,definition,
( spl0_11
<=> sk5 = sk6 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f428,plain,
( sk5 = sk6
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f430,definition,
( spl0_12
<=> ssList(sk8) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f432,plain,
( ~ ssList(sk8)
| spl0_12 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f434,definition,
( spl0_13
<=> ssList(sk7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f436,plain,
( ~ ssList(sk7)
| spl0_13 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f438,definition,
( spl0_14
<=> ssItem(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f440,plain,
( ssItem(sk6)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f441,plain,
( spl0_10
| spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f420,f438,f434,f430,f426,f422]) ).
fof(f442,plain,
( $false
| spl0_12 ),
inference(resolution,[],[f432,f211]) ).
fof(f443,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f442]) ).
fof(f444,plain,
( $false
| spl0_13 ),
inference(resolution,[],[f436,f210]) ).
fof(f445,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f446,plain,
( $false
| ~ spl0_10 ),
inference(resolution,[],[f424,f369]) ).
fof(f447,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f446]) ).
fof(f449,plain,
( sk5 != sk5
| ~ spl0_11 ),
inference(superposition,[],[f214,f428]) ).
fof(f451,plain,
( $false
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f449]) ).
fof(f452,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f451]) ).
fof(f453,plain,
( $false
| ~ spl0_14 ),
inference(resolution,[],[f440,f370]) ).
fof(f454,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f453]) ).
cnf(s11,plain,
( spl0_10
| spl0_11
| ~ spl0_12
| ~ spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f441]) ).
cnf(s12,plain,
spl0_12,
inference(sat_conversion,[],[f443]) ).
cnf(s13,plain,
spl0_13,
inference(sat_conversion,[],[f445]) ).
cnf(s14,plain,
~ spl0_10,
inference(sat_conversion,[],[f447]) ).
cnf(s15,plain,
~ spl0_11,
inference(sat_conversion,[],[f452]) ).
cnf(s16,plain,
~ spl0_14,
inference(sat_conversion,[],[f454]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s11,s16,s13,s12,s15,s14]) ).
fof(f455,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC189-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.36 % Computer : n008.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 08:22:39 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 Running first-order model finding
% 0.10/0.39 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
% 0.10/0.43 % (2096505)Will run a generic schedule for satisfiability detection.
% 0.10/0.43 % (2096516)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3539513075:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.43 % (2096516) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2096505-2096516"...
% 0.10/0.43 % (2096516)...printing done.
% 0.10/0.43 % (2096516)Refutation found. Thanks to Tanya!
% 0.10/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.43 % (2096516)------------------------------
% 0.10/0.43 % (2096516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.43 % (2096516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.43 % (2096516)CaDiCaL version: 2.1.3
% 0.10/0.43 % (2096516)Termination reason: Refutation
% 0.10/0.43 % (2096516)Time elapsed: 0.004 s
% 0.10/0.43 % (2096516)Peak memory usage: 12 MB
% 0.10/0.43 % (2096516)Instructions burned: 9 (million)
% 0.10/0.43 % (2096505)Success in time 0.032 s
% 0.10/0.43 % Vampire exiting
%------------------------------------------------------------------------------