%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC327-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 01:03:28 PM UTC 2026
% Result : Unsatisfiable 3.06s 1.10s
% Output : Refutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 25
% Syntax : Number of formulae : 109 ( 17 unt; 8 def)
% Number of atoms : 398 ( 116 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 552 ( 263 ~; 281 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 57 ( 0 sgn 57 !; 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,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f211,plain,
! [X2,X0,X1] :
( sk3 != app(X2,cons(X0,nil))
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk5
| ~ ssList(X2)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
( nil = sk4
| nil != sk3 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(f257,definition,
( spl0_3
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f260,definition,
( spl0_4
<=> equalelemsP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f261,plain,
( ~ equalelemsP(sk3)
| spl0_4 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f263,definition,
( spl0_5
<=> ! [X0] :
( ~ ssList(X0)
| sk3 = app(sk8(X0),cons(sk6(X0),nil))
| sk4 != app(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f264,plain,
( ! [X0] :
( sk3 = app(sk8(X0),cons(sk6(X0),nil))
| ~ ssList(X0)
| sk4 != app(sk3,X0) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f265,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f244,f263,f260,f257]) ).
fof(f267,definition,
( spl0_6
<=> ! [X0] :
( ~ ssList(X0)
| ssList(sk8(X0))
| sk4 != app(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f268,plain,
( ! [X0] :
( sk4 != app(sk3,X0)
| ssList(sk8(X0))
| ~ ssList(X0) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f269,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f243,f267,f260,f257]) ).
fof(f271,definition,
( spl0_7
<=> ! [X0] :
( ~ ssList(X0)
| app(cons(sk6(X0),nil),sk7(X0)) = X0
| sk4 != app(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f272,plain,
( ! [X0] :
( app(cons(sk6(X0),nil),sk7(X0)) = X0
| ~ ssList(X0)
| sk4 != app(sk3,X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f273,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f242,f271,f260,f257]) ).
fof(f275,definition,
( spl0_8
<=> ! [X0] :
( ~ ssList(X0)
| ssList(sk7(X0))
| sk4 != app(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f276,plain,
( ! [X0] :
( sk4 != app(sk3,X0)
| ssList(sk7(X0))
| ~ ssList(X0) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f277,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f241,f275,f260,f257]) ).
fof(f279,definition,
( spl0_9
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f281,plain,
( spl0_9
| ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f240,f263,f260,f279]) ).
fof(f282,plain,
( spl0_9
| ~ spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f239,f267,f260,f279]) ).
fof(f283,plain,
( spl0_9
| ~ spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f238,f271,f260,f279]) ).
fof(f284,plain,
( spl0_9
| ~ spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f237,f275,f260,f279]) ).
fof(f286,definition,
( spl0_10
<=> ! [X0] :
( ~ ssList(X0)
| ssItem(sk6(X0))
| sk4 != app(sk3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f287,plain,
( ! [X0] :
( sk4 != app(sk3,X0)
| ssItem(sk6(X0))
| ~ ssList(X0) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f288,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f236,f286,f260,f257]) ).
fof(f289,plain,
( spl0_9
| ~ spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f235,f286,f260,f279]) ).
fof(f292,plain,
( ~ spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f212,f257,f279]) ).
fof(f293,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f261,f209]) ).
fof(f294,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f293]) ).
fof(f304,plain,
( ! [X0,X1] :
( sk3 != sk3
| ~ ssList(X1)
| sk5 != app(cons(sk6(X0),nil),X1)
| ~ ssList(sk8(X0))
| ~ ssItem(sk6(X0))
| ~ ssList(X0)
| sk4 != app(sk3,X0) )
| ~ spl0_5 ),
inference(superposition,[],[f211,f264]) ).
fof(f305,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| sk5 != app(cons(sk6(X0),nil),X1)
| ~ ssList(sk8(X0))
| ~ ssItem(sk6(X0))
| ~ ssList(X0)
| sk4 != app(sk3,X0) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f304]) ).
fof(f306,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| sk5 != app(cons(sk6(X0),nil),X1)
| ~ ssItem(sk6(X0))
| ~ ssList(X0)
| sk4 != app(sk3,X0) )
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f305,f268]) ).
fof(f307,plain,
( ! [X0,X1] :
( sk5 != app(cons(sk6(X0),nil),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sk4 != app(sk3,X0) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f306,f287]) ).
fof(f308,plain,
( ! [X0] :
( sk5 != X0
| ~ ssList(sk7(X0))
| ~ ssList(X0)
| sk4 != app(sk3,X0)
| ~ ssList(X0)
| sk4 != app(sk3,X0) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f307,f272]) ).
fof(f309,plain,
( ! [X0] :
( sk5 != X0
| ~ ssList(sk7(X0))
| ~ ssList(X0)
| sk4 != app(sk3,X0) )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(duplicate_literal_removal,[],[f308]) ).
fof(f310,plain,
( ! [X0] :
( sk4 != app(sk3,X0)
| ~ ssList(X0)
| sk5 != X0 )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f309,f276]) ).
fof(f311,plain,
( sk4 != sk4
| ~ ssList(sk5)
| sk5 != sk5
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f310,f208]) ).
fof(f312,plain,
( ~ ssList(sk5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f311]) ).
fof(f313,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f312,f206]) ).
fof(f314,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f313]) ).
cnf(s2,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f265]) ).
cnf(s3,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f269]) ).
cnf(s4,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f273]) ).
cnf(s5,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f277]) ).
cnf(s6,plain,
( ~ spl0_4
| spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f281]) ).
cnf(s7,plain,
( ~ spl0_4
| spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f282]) ).
cnf(s8,plain,
( ~ spl0_4
| spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f283]) ).
cnf(s9,plain,
( ~ spl0_4
| spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f284]) ).
cnf(s10,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f288]) ).
cnf(s11,plain,
( ~ spl0_4
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f289]) ).
cnf(s12,plain,
( spl0_3
| ~ spl0_9 ),
inference(sat_conversion,[],[f292]) ).
cnf(s13,plain,
spl0_4,
inference(sat_conversion,[],[f294]) ).
cnf(s14,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f314]) ).
cnf(s15,plain,
( spl0_9
| spl0_10 ),
inference(rat,[],[s11,s13]) ).
cnf(s16,plain,
( ~ spl0_3
| spl0_10 ),
inference(rat,[],[s10,s13]) ).
cnf(s17,plain,
( spl0_8
| spl0_9 ),
inference(rat,[],[s9,s13]) ).
cnf(s18,plain,
( spl0_7
| spl0_9 ),
inference(rat,[],[s8,s13]) ).
cnf(s19,plain,
( spl0_6
| spl0_9 ),
inference(rat,[],[s7,s13]) ).
cnf(s20,plain,
( spl0_5
| spl0_9 ),
inference(rat,[],[s6,s13]) ).
cnf(s21,plain,
( ~ spl0_3
| spl0_8 ),
inference(rat,[],[s5,s13]) ).
cnf(s22,plain,
( ~ spl0_3
| spl0_7 ),
inference(rat,[],[s4,s13]) ).
cnf(s23,plain,
( ~ spl0_3
| spl0_6 ),
inference(rat,[],[s3,s13]) ).
cnf(s24,plain,
( ~ spl0_3
| spl0_5 ),
inference(rat,[],[s2,s13]) ).
cnf(s25,plain,
spl0_9,
inference(rat,[],[s14,s20,s19,s18,s17,s15]) ).
cnf(s26,plain,
spl0_3,
inference(rat,[],[s12,s25]) ).
cnf(s27,plain,
spl0_10,
inference(rat,[],[s16,s26]) ).
cnf(s28,plain,
spl0_8,
inference(rat,[],[s21,s26]) ).
cnf(s29,plain,
spl0_7,
inference(rat,[],[s22,s26]) ).
cnf(s30,plain,
spl0_6,
inference(rat,[],[s23,s26]) ).
cnf(s31,plain,
spl0_5,
inference(rat,[],[s24,s26]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s14,s27,s28,s29,s30,s31]) ).
fof(f315,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC327-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n015.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Mon Sep 28 09:09:31 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.06/1.10 % (2486885)Input is clausal, will run a generic CNF schedule.
% 3.06/1.10 % (2486890)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2733451386:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.06/1.10 % (2486895)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=457841299:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.06/1.10 % (2486892)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2084924433:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.06/1.10 % (2486891)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3883199421:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.06/1.10 % (2486894)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=661951118:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.06/1.10 % (2486893)lrs+10_1_sil=8000:sp=occurrence:random_seed=1393594004:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.06/1.10 % (2486896)dis-21_1_sil=8000:lcm=predicate:random_seed=1370247158:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.06/1.10 % (2486893)Also succeeded, but the first one will report.
% 3.06/1.10 % (2486894)First to succeed.
% 3.06/1.10 % (2486896)Also succeeded, but the first one will report.
% 3.06/1.10 % (2486894)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2486885"
% 3.06/1.10 % (2486895)Also succeeded, but the first one will report.
% 3.06/1.10 % (2486894)Refutation found. Thanks to Tanya!
% 3.06/1.10 % SZS status Unsatisfiable for theBenchmark
% 3.06/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 3.63/1.19 % (2486894)------------------------------
% 3.63/1.19 % (2486894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/1.19 % (2486894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/1.19 % (2486894)CaDiCaL version: 2.1.3
% 3.63/1.19 % (2486894)Termination reason: Refutation
% 3.63/1.19 % (2486894)Time elapsed: 0.005 s
% 3.63/1.19 % (2486894)Peak memory usage: 89 MB
% 3.63/1.19 % (2486894)Instructions burned: 6 (million)
% 3.63/1.19 % (2486894)------------------------------
% 3.63/1.19 % (2486894)------------------------------
% 3.63/1.19 % (2486885)Success in time 0.445 s
% 3.63/1.19 % Vampire exiting
%------------------------------------------------------------------------------