%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC327-1 : 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 : n018.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 01:05:34 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.28s
% Output : Refutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 25
% Syntax : Number of formulae : 130 ( 18 unt; 8 def)
% Number of atoms : 453 ( 139 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 586 ( 263 ~; 315 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,plain,
sk4 = app(sk3,sk5),
inference(reorient_equations,[],[f207]) ).
fof(f209,negated_conjecture,
equalelemsP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f210,negated_conjecture,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk5
| ~ ssList(X2)
| app(X2,cons(X0,nil)) != sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f211,plain,
! [X2,X0,X1] :
( app(cons(X0,nil),X1) != sk5
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssList(X2)
| sk3 != app(X2,cons(X0,nil)) ),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
( nil = sk4
| nil != sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f213,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| app(sk1,X0) != sk2
| ssItem(sk6(X0))
| ~ equalelemsP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
! [X0] :
( ~ ssList(X0)
| sk2 != app(sk1,X0)
| ssItem(sk6(X0))
| ~ equalelemsP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f213]) ).
fof(f215,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| app(sk1,X0) != sk2
| ssItem(sk6(X0))
| ~ equalelemsP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f216,plain,
! [X0] :
( ~ ssList(X0)
| sk2 != app(sk1,X0)
| ssItem(sk6(X0))
| ~ equalelemsP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f215]) ).
fof(f217,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| app(sk1,X0) != sk2
| ssList(sk7(X0))
| ~ equalelemsP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f218,plain,
! [X0] :
( ~ ssList(X0)
| sk2 != app(sk1,X0)
| ssList(sk7(X0))
| ~ equalelemsP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f217]) ).
fof(f219,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| app(sk1,X0) != sk2
| app(cons(sk6(X0),nil),sk7(X0)) = X0
| ~ equalelemsP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f220,plain,
! [X0] :
( ~ ssList(X0)
| sk2 != app(sk1,X0)
| app(cons(sk6(X0),nil),sk7(X0)) = X0
| ~ equalelemsP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f219]) ).
fof(f221,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| app(sk1,X0) != sk2
| ssList(sk8(X0))
| ~ equalelemsP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f222,plain,
! [X0] :
( ~ ssList(X0)
| sk2 != app(sk1,X0)
| ssList(sk8(X0))
| ~ equalelemsP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f221]) ).
fof(f223,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| app(sk1,X0) != sk2
| app(sk8(X0),cons(sk6(X0),nil)) = sk1
| ~ equalelemsP(sk1)
| nil = sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f224,plain,
! [X0] :
( ~ ssList(X0)
| sk2 != app(sk1,X0)
| sk1 = app(sk8(X0),cons(sk6(X0),nil))
| ~ equalelemsP(sk1)
| nil = sk1 ),
inference(reorient_equations,[],[f223]) ).
fof(f225,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| app(sk1,X0) != sk2
| ssList(sk7(X0))
| ~ equalelemsP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f226,plain,
! [X0] :
( ~ ssList(X0)
| sk2 != app(sk1,X0)
| ssList(sk7(X0))
| ~ equalelemsP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f225]) ).
fof(f227,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| app(sk1,X0) != sk2
| app(cons(sk6(X0),nil),sk7(X0)) = X0
| ~ equalelemsP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
fof(f228,plain,
! [X0] :
( ~ ssList(X0)
| sk2 != app(sk1,X0)
| app(cons(sk6(X0),nil),sk7(X0)) = X0
| ~ equalelemsP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f227]) ).
fof(f229,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| app(sk1,X0) != sk2
| ssList(sk8(X0))
| ~ equalelemsP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).
fof(f230,plain,
! [X0] :
( ~ ssList(X0)
| sk2 != app(sk1,X0)
| ssList(sk8(X0))
| ~ equalelemsP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f229]) ).
fof(f231,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| app(sk1,X0) != sk2
| app(sk8(X0),cons(sk6(X0),nil)) = sk1
| ~ equalelemsP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).
fof(f232,plain,
! [X0] :
( ~ ssList(X0)
| sk2 != app(sk1,X0)
| sk1 = app(sk8(X0),cons(sk6(X0),nil))
| ~ equalelemsP(sk1)
| nil != sk2 ),
inference(reorient_equations,[],[f231]) ).
fof(f235,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(sk3,X0)
| ssItem(sk6(X0))
| ~ equalelemsP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f214,f204,f205,f205,f205]) ).
fof(f236,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(sk3,X0)
| ssItem(sk6(X0))
| ~ equalelemsP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f216,f204,f205,f205,f204]) ).
fof(f237,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(sk3,X0)
| ssList(sk7(X0))
| ~ equalelemsP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f218,f204,f205,f205,f205]) ).
fof(f238,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(sk3,X0)
| app(cons(sk6(X0),nil),sk7(X0)) = X0
| ~ equalelemsP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f220,f204,f205,f205,f205]) ).
fof(f239,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(sk3,X0)
| ssList(sk8(X0))
| ~ equalelemsP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f222,f204,f205,f205,f205]) ).
fof(f240,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(sk3,X0)
| sk3 = app(sk8(X0),cons(sk6(X0),nil))
| ~ equalelemsP(sk3)
| nil = sk3 ),
inference(definition_unfolding,[],[f224,f204,f205,f205,f205,f205]) ).
fof(f241,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(sk3,X0)
| ssList(sk7(X0))
| ~ equalelemsP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f226,f204,f205,f205,f204]) ).
fof(f242,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(sk3,X0)
| app(cons(sk6(X0),nil),sk7(X0)) = X0
| ~ equalelemsP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f228,f204,f205,f205,f204]) ).
fof(f243,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(sk3,X0)
| ssList(sk8(X0))
| ~ equalelemsP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f230,f204,f205,f205,f204]) ).
fof(f244,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(sk3,X0)
| sk3 = app(sk8(X0),cons(sk6(X0),nil))
| ~ equalelemsP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f232,f204,f205,f205,f205,f204]) ).
fof(f317,plain,
~ equalelemsP(sk3),
inference(consistent_polarity_flipping,[],[f209]) ).
fof(f318,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(sk3,X0)
| ssItem(sk6(X0))
| equalelemsP(sk3)
| nil = sk3 ),
inference(consistent_polarity_flipping,[],[f235]) ).
fof(f319,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(sk3,X0)
| ssItem(sk6(X0))
| equalelemsP(sk3)
| nil != sk4 ),
inference(consistent_polarity_flipping,[],[f236]) ).
fof(f320,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(sk3,X0)
| ssList(sk7(X0))
| equalelemsP(sk3)
| nil = sk3 ),
inference(consistent_polarity_flipping,[],[f237]) ).
fof(f321,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(sk3,X0)
| app(cons(sk6(X0),nil),sk7(X0)) = X0
| equalelemsP(sk3)
| nil = sk3 ),
inference(consistent_polarity_flipping,[],[f238]) ).
fof(f322,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(sk3,X0)
| ssList(sk8(X0))
| equalelemsP(sk3)
| nil = sk3 ),
inference(consistent_polarity_flipping,[],[f239]) ).
fof(f323,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(sk3,X0)
| sk3 = app(sk8(X0),cons(sk6(X0),nil))
| equalelemsP(sk3)
| nil = sk3 ),
inference(consistent_polarity_flipping,[],[f240]) ).
fof(f324,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(sk3,X0)
| ssList(sk7(X0))
| equalelemsP(sk3)
| nil != sk4 ),
inference(consistent_polarity_flipping,[],[f241]) ).
fof(f325,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(sk3,X0)
| app(cons(sk6(X0),nil),sk7(X0)) = X0
| equalelemsP(sk3)
| nil != sk4 ),
inference(consistent_polarity_flipping,[],[f242]) ).
fof(f326,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(sk3,X0)
| ssList(sk8(X0))
| equalelemsP(sk3)
| nil != sk4 ),
inference(consistent_polarity_flipping,[],[f243]) ).
fof(f327,plain,
! [X0] :
( ~ ssList(X0)
| sk4 != app(sk3,X0)
| sk3 = app(sk8(X0),cons(sk6(X0),nil))
| equalelemsP(sk3)
| nil != sk4 ),
inference(consistent_polarity_flipping,[],[f244]) ).
fof(f335,definition,
( spl0_1
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f339,definition,
( spl0_2
<=> equalelemsP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f343,definition,
( spl0_3
<=> ! [X0] :
( ~ ssList(X0)
| sk3 = app(sk8(X0),cons(sk6(X0),nil))
| sk4 != app(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f344,plain,
( ! [X0] :
( sk4 != app(sk3,X0)
| sk3 = app(sk8(X0),cons(sk6(X0),nil))
| ~ ssList(X0) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f345,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f327,f343,f339,f335]) ).
fof(f347,definition,
( spl0_4
<=> ! [X0] :
( ~ ssList(X0)
| ssList(sk8(X0))
| sk4 != app(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f348,plain,
( ! [X0] :
( sk4 != app(sk3,X0)
| ssList(sk8(X0))
| ~ ssList(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f349,plain,
( ~ spl0_1
| spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f326,f347,f339,f335]) ).
fof(f351,definition,
( spl0_5
<=> ! [X0] :
( ~ ssList(X0)
| app(cons(sk6(X0),nil),sk7(X0)) = X0
| sk4 != app(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f352,plain,
( ! [X0] :
( sk4 != app(sk3,X0)
| app(cons(sk6(X0),nil),sk7(X0)) = X0
| ~ ssList(X0) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f353,plain,
( ~ spl0_1
| spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f325,f351,f339,f335]) ).
fof(f355,definition,
( spl0_6
<=> ! [X0] :
( ~ ssList(X0)
| ssList(sk7(X0))
| sk4 != app(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f356,plain,
( ! [X0] :
( sk4 != app(sk3,X0)
| ssList(sk7(X0))
| ~ ssList(X0) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f357,plain,
( ~ spl0_1
| spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f324,f355,f339,f335]) ).
fof(f359,definition,
( spl0_7
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f362,plain,
( spl0_7
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f323,f343,f339,f359]) ).
fof(f363,plain,
( spl0_7
| spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f322,f347,f339,f359]) ).
fof(f364,plain,
( spl0_7
| spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f321,f351,f339,f359]) ).
fof(f365,plain,
( spl0_7
| spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f320,f355,f339,f359]) ).
fof(f367,definition,
( spl0_8
<=> ! [X0] :
( ~ ssList(X0)
| ssItem(sk6(X0))
| sk4 != app(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f368,plain,
( ! [X0] :
( sk4 != app(sk3,X0)
| ssItem(sk6(X0))
| ~ ssList(X0) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f369,plain,
( ~ spl0_1
| spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f319,f367,f339,f335]) ).
fof(f370,plain,
( spl0_7
| spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f318,f367,f339,f359]) ).
fof(f371,plain,
( ~ spl0_7
| spl0_1 ),
inference(avatar_split_clause,[],[f212,f335,f359]) ).
fof(f372,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f317,f339]) ).
fof(f415,plain,
( sk4 != sk4
| ssList(sk8(sk5))
| ~ ssList(sk5)
| ~ spl0_4 ),
inference(superposition,[],[f348,f208]) ).
fof(f416,plain,
( ssList(sk8(sk5))
| ~ ssList(sk5)
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f415]) ).
fof(f417,plain,
( ssList(sk8(sk5))
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f416,f206]) ).
fof(f418,plain,
( sk4 != sk4
| ssList(sk7(sk5))
| ~ ssList(sk5)
| ~ spl0_6 ),
inference(superposition,[],[f356,f208]) ).
fof(f419,plain,
( ssList(sk7(sk5))
| ~ ssList(sk5)
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f418]) ).
fof(f420,plain,
( ssList(sk7(sk5))
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f419,f206]) ).
fof(f421,plain,
( sk4 != sk4
| ssItem(sk6(sk5))
| ~ ssList(sk5)
| ~ spl0_8 ),
inference(superposition,[],[f368,f208]) ).
fof(f422,plain,
( ssItem(sk6(sk5))
| ~ ssList(sk5)
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f421]) ).
fof(f423,plain,
( ssItem(sk6(sk5))
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f422,f206]) ).
fof(f424,plain,
( sk4 != sk4
| sk3 = app(sk8(sk5),cons(sk6(sk5),nil))
| ~ ssList(sk5)
| ~ spl0_3 ),
inference(superposition,[],[f344,f208]) ).
fof(f425,plain,
( sk3 = app(sk8(sk5),cons(sk6(sk5),nil))
| ~ ssList(sk5)
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f424]) ).
fof(f426,plain,
( sk3 = app(sk8(sk5),cons(sk6(sk5),nil))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f425,f206]) ).
fof(f427,plain,
( sk4 != sk4
| sk5 = app(cons(sk6(sk5),nil),sk7(sk5))
| ~ ssList(sk5)
| ~ spl0_5 ),
inference(superposition,[],[f352,f208]) ).
fof(f428,plain,
( sk5 = app(cons(sk6(sk5),nil),sk7(sk5))
| ~ ssList(sk5)
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f427]) ).
fof(f429,plain,
( sk5 = app(cons(sk6(sk5),nil),sk7(sk5))
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f428,f206]) ).
fof(f430,plain,
( ! [X0] :
( sk5 != sk5
| ~ ssList(sk7(sk5))
| ~ ssItem(sk6(sk5))
| ~ ssList(X0)
| sk3 != app(X0,cons(sk6(sk5),nil)) )
| ~ spl0_5 ),
inference(superposition,[],[f211,f429]) ).
fof(f431,plain,
( ! [X0] :
( ~ ssList(sk7(sk5))
| ~ ssItem(sk6(sk5))
| ~ ssList(X0)
| sk3 != app(X0,cons(sk6(sk5),nil)) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f430]) ).
fof(f432,plain,
( ! [X0] :
( ~ ssItem(sk6(sk5))
| ~ ssList(X0)
| sk3 != app(X0,cons(sk6(sk5),nil)) )
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f431,f420]) ).
fof(f433,plain,
( ! [X0] :
( sk3 != app(X0,cons(sk6(sk5),nil))
| ~ ssList(X0) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f432,f423]) ).
fof(f434,plain,
( sk3 != sk3
| ~ ssList(sk8(sk5))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f433,f426]) ).
fof(f435,plain,
( ~ ssList(sk8(sk5))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f434]) ).
fof(f436,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f435,f417]) ).
fof(f437,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f436]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f345]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f349]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f353]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_2
| spl0_6 ),
inference(sat_conversion,[],[f357]) ).
cnf(s5,plain,
( spl0_2
| spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f362]) ).
cnf(s6,plain,
( spl0_2
| spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f363]) ).
cnf(s7,plain,
( spl0_2
| spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f364]) ).
cnf(s8,plain,
( spl0_2
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f365]) ).
cnf(s9,plain,
( ~ spl0_1
| spl0_2
| spl0_8 ),
inference(sat_conversion,[],[f369]) ).
cnf(s10,plain,
( spl0_2
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f370]) ).
cnf(s11,plain,
( spl0_1
| ~ spl0_7 ),
inference(sat_conversion,[],[f371]) ).
cnf(s12,plain,
~ spl0_2,
inference(sat_conversion,[],[f372]) ).
cnf(s23,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f437]) ).
cnf(s28,plain,
( spl0_7
| spl0_8 ),
inference(rat,[],[s10,s12]) ).
cnf(s29,plain,
( ~ spl0_1
| spl0_8 ),
inference(rat,[],[s9,s12]) ).
cnf(s30,plain,
( spl0_6
| spl0_7 ),
inference(rat,[],[s8,s12]) ).
cnf(s31,plain,
( spl0_5
| spl0_7 ),
inference(rat,[],[s7,s12]) ).
cnf(s32,plain,
( spl0_4
| spl0_7 ),
inference(rat,[],[s6,s12]) ).
cnf(s33,plain,
( spl0_3
| spl0_7 ),
inference(rat,[],[s5,s12]) ).
cnf(s34,plain,
( ~ spl0_1
| spl0_6 ),
inference(rat,[],[s4,s12]) ).
cnf(s35,plain,
( ~ spl0_1
| spl0_5 ),
inference(rat,[],[s3,s12]) ).
cnf(s36,plain,
( ~ spl0_1
| spl0_4 ),
inference(rat,[],[s2,s12]) ).
cnf(s37,plain,
( ~ spl0_1
| spl0_3 ),
inference(rat,[],[s1,s12]) ).
cnf(s38,plain,
spl0_7,
inference(rat,[],[s23,s33,s32,s31,s30,s28]) ).
cnf(s39,plain,
spl0_1,
inference(rat,[],[s11,s38]) ).
cnf(s40,plain,
spl0_8,
inference(rat,[],[s29,s39]) ).
cnf(s41,plain,
spl0_6,
inference(rat,[],[s34,s39]) ).
cnf(s42,plain,
spl0_5,
inference(rat,[],[s35,s39]) ).
cnf(s43,plain,
spl0_4,
inference(rat,[],[s36,s39]) ).
cnf(s44,plain,
spl0_3,
inference(rat,[],[s37,s39]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s23,s40,s41,s42,s43,s44]) ).
fof(f438,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC327-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n018.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 09:08:25 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 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
% 0.10/0.28 % (3242636)Will run a generic schedule for satisfiability detection.
% 0.10/0.28 % (3242642)% WARNING: option uhcvi not known.
% 0.10/0.28 % (3242642)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=305546096:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.28 % (3242642) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3242636-3242642"...
% 0.10/0.28 % (3242642)...printing done.
% 0.10/0.28 % (3242642)Refutation found. Thanks to Tanya!
% 0.10/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.30/0.28 % (3242642)------------------------------
% 0.30/0.28 % (3242642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.30/0.28 % (3242642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/0.28 % (3242642)CaDiCaL version: 2.1.3
% 0.30/0.28 % (3242642)Termination reason: Refutation
% 0.30/0.28 % (3242642)Time elapsed: 0.004 s
% 0.30/0.28 % (3242642)Peak memory usage: 12 MB
% 0.30/0.28 % (3242642)Instructions burned: 9 (million)
% 0.30/0.28 % (3242636)Success in time 0.04 s
% 0.30/0.28 % Vampire exiting
%------------------------------------------------------------------------------