%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC377-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 01:03:42 PM UTC 2026
% Result : Unsatisfiable 3.10s 1.10s
% Output : Refutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 27
% Syntax : Number of formulae : 127 ( 16 unt; 10 def)
% Number of atoms : 435 ( 22 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 583 ( 275 ~; 298 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 11 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f152,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f170,axiom,
! [X2,X0,X1] :
( ~ memberP(app(X0,X1),X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| memberP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
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,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( memberP(sk2,sk5)
| memberP(sk1,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ~ memberP(sk2,sk5)
| ~ memberP(sk1,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( ssItem(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( ssList(sk7)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
( app(cons(sk6,nil),sk7) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f213,plain,
( sk3 = app(cons(sk6,nil),sk7)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f212]) ).
fof(f214,negated_conjecture,
( app(sk7,cons(sk6,nil)) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f215,plain,
( sk4 = app(sk7,cons(sk6,nil))
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f214]) ).
fof(f218,plain,
( memberP(sk4,sk5)
| memberP(sk3,sk5) ),
inference(definition_unfolding,[],[f207,f204,f205]) ).
fof(f219,plain,
( ~ memberP(sk4,sk5)
| ~ memberP(sk3,sk5) ),
inference(definition_unfolding,[],[f208,f204,f205]) ).
fof(f231,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f233,plain,
( ~ neq(sk4,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f235,definition,
( spl0_2
<=> sk4 = app(sk7,cons(sk6,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f237,plain,
( sk4 = app(sk7,cons(sk6,nil))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f238,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f215,f235,f231]) ).
fof(f240,definition,
( spl0_3
<=> sk3 = app(cons(sk6,nil),sk7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f242,plain,
( sk3 = app(cons(sk6,nil),sk7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f243,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f213,f240,f231]) ).
fof(f245,definition,
( spl0_4
<=> ssList(sk7) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f247,plain,
( ssList(sk7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f248,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f211,f245,f231]) ).
fof(f250,definition,
( spl0_5
<=> ssItem(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f252,plain,
( ssItem(sk6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f253,plain,
( ~ spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f210,f250,f231]) ).
fof(f255,definition,
( spl0_6
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f256,plain,
( nil = sk4
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f257,plain,
( nil != sk4
| spl0_6 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f259,definition,
( spl0_7
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f261,plain,
( nil = sk3
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f262,plain,
( ~ spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f209,f259,f255]) ).
fof(f264,definition,
( spl0_8
<=> memberP(sk3,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f265,plain,
( memberP(sk3,sk5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( ~ memberP(sk3,sk5)
| spl0_8 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl0_9
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f269,plain,
( memberP(sk4,sk5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f270,plain,
( ~ memberP(sk4,sk5)
| spl0_9 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f271,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f219,f268,f264]) ).
fof(f272,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f218,f268,f264]) ).
fof(f289,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(resolution,[],[f102,f233]) ).
fof(f294,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f289,f203]) ).
fof(f295,plain,
( nil = sk4
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f294,f8]) ).
fof(f296,plain,
( $false
| spl0_1
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f295,f257]) ).
fof(f297,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f296]) ).
fof(f300,plain,
( ~ memberP(nil,sk5)
| ~ spl0_6
| spl0_9 ),
inference(superposition,[],[f270,f256]) ).
fof(f305,plain,
( memberP(nil,sk5)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f265,f261]) ).
fof(f307,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f305,f300]) ).
fof(f308,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f309,plain,
( ~ memberP(nil,sk5)
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f266,f261]) ).
fof(f310,plain,
( memberP(nil,sk5)
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f269,f256]) ).
fof(f311,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f310,f309]) ).
fof(f312,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f311]) ).
fof(f336,definition,
( spl0_11
<=> ssList(cons(sk6,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f337,plain,
( ssList(cons(sk6,nil))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f338,plain,
( ~ ssList(cons(sk6,nil))
| spl0_11 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f340,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| spl0_11 ),
inference(resolution,[],[f338,f86]) ).
fof(f341,plain,
( ~ ssItem(sk6)
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f340,f8]) ).
fof(f342,plain,
( $false
| ~ spl0_5
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f341,f252]) ).
fof(f343,plain,
( ~ spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f342]) ).
fof(f380,plain,
( ! [X0] :
( memberP(sk4,X0)
| ~ ssList(cons(sk6,nil))
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) )
| ~ spl0_2 ),
inference(superposition,[],[f151,f237]) ).
fof(f385,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssList(sk7)
| ~ ssList(cons(sk6,nil))
| ~ ssItem(X0)
| ~ memberP(cons(sk6,nil),X0) )
| ~ spl0_3 ),
inference(superposition,[],[f151,f242]) ).
fof(f387,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssList(cons(sk6,nil))
| ~ ssItem(X0)
| ~ memberP(cons(sk6,nil),X0) )
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f385,f247]) ).
fof(f388,plain,
( ! [X0] :
( memberP(sk4,X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) )
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f380,f337]) ).
fof(f389,plain,
( ! [X0] :
( ~ memberP(cons(sk6,nil),X0)
| ~ ssItem(X0)
| memberP(sk3,X0) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f387,f337]) ).
fof(f390,plain,
( ! [X0] :
( ~ memberP(sk7,X0)
| ~ ssItem(X0)
| memberP(sk4,X0) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f388,f247]) ).
fof(f396,plain,
( ! [X0] :
( memberP(sk4,X0)
| ~ ssList(cons(sk6,nil))
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,nil),X0) )
| ~ spl0_2 ),
inference(superposition,[],[f152,f237]) ).
fof(f401,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssList(sk7)
| ~ ssList(cons(sk6,nil))
| ~ ssItem(X0)
| ~ memberP(sk7,X0) )
| ~ spl0_3 ),
inference(superposition,[],[f152,f242]) ).
fof(f403,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssList(cons(sk6,nil))
| ~ ssItem(X0)
| ~ memberP(sk7,X0) )
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f401,f247]) ).
fof(f404,plain,
( ! [X0] :
( memberP(sk4,X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(cons(sk6,nil),X0) )
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f396,f337]) ).
fof(f405,plain,
( ! [X0] :
( ~ memberP(sk7,X0)
| ~ ssItem(X0)
| memberP(sk3,X0) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f403,f337]) ).
fof(f406,plain,
( ! [X0] :
( ~ memberP(cons(sk6,nil),X0)
| ~ ssItem(X0)
| memberP(sk4,X0) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f404,f247]) ).
fof(f567,plain,
( ! [X0] :
( ~ memberP(sk4,X0)
| ~ ssList(cons(sk6,nil))
| ~ ssList(sk7)
| ~ ssItem(X0)
| memberP(cons(sk6,nil),X0)
| memberP(sk7,X0) )
| ~ spl0_2 ),
inference(superposition,[],[f170,f237]) ).
fof(f572,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(sk7)
| ~ ssList(cons(sk6,nil))
| ~ ssItem(X0)
| memberP(sk7,X0)
| memberP(cons(sk6,nil),X0) )
| ~ spl0_3 ),
inference(superposition,[],[f170,f242]) ).
fof(f576,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(cons(sk6,nil))
| ~ ssItem(X0)
| memberP(sk7,X0)
| memberP(cons(sk6,nil),X0) )
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f572,f247]) ).
fof(f577,plain,
( ! [X0] :
( ~ memberP(sk4,X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| memberP(cons(sk6,nil),X0)
| memberP(sk7,X0) )
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f567,f337]) ).
fof(f578,plain,
( ! [X0] :
( memberP(cons(sk6,nil),X0)
| ~ ssItem(X0)
| memberP(sk7,X0)
| ~ memberP(sk3,X0) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f576,f337]) ).
fof(f579,plain,
( ! [X0] :
( memberP(cons(sk6,nil),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| memberP(sk7,X0) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f577,f247]) ).
fof(f708,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sk7,X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(sk4,X0) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11 ),
inference(resolution,[],[f578,f406]) ).
fof(f713,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sk7,X0)
| ~ memberP(sk3,X0)
| memberP(sk4,X0) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f708]) ).
fof(f714,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(sk4,X0) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f713,f390]) ).
fof(f716,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk4,X0)
| memberP(sk7,X0)
| ~ ssItem(X0)
| memberP(sk3,X0) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11 ),
inference(resolution,[],[f579,f389]) ).
fof(f719,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk4,X0)
| memberP(sk7,X0)
| memberP(sk3,X0) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f716]) ).
fof(f722,plain,
( ! [X0] :
( ~ memberP(sk4,X0)
| ~ ssItem(X0)
| memberP(sk3,X0) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f719,f405]) ).
fof(f734,plain,
( ~ ssItem(sk5)
| memberP(sk3,sk5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11 ),
inference(resolution,[],[f722,f269]) ).
fof(f736,plain,
( memberP(sk3,sk5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f734,f206]) ).
fof(f737,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f736,f266]) ).
fof(f738,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f737]) ).
fof(f739,plain,
( ~ ssItem(sk5)
| memberP(sk4,sk5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_11 ),
inference(resolution,[],[f265,f714]) ).
fof(f740,plain,
( memberP(sk4,sk5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f739,f206]) ).
fof(f741,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_9
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f740,f270]) ).
fof(f742,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f741]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f238]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f243]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f248]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f253]) ).
cnf(s5,plain,
( ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f262]) ).
cnf(s6,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f271]) ).
cnf(s7,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f272]) ).
cnf(s8,plain,
( spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f297]) ).
cnf(s9,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f308]) ).
cnf(s10,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f312]) ).
cnf(s12,plain,
( ~ spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f343]) ).
cnf(s22,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f738]) ).
cnf(s23,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| spl0_9
| ~ spl0_11 ),
inference(sat_conversion,[],[f742]) ).
cnf(s26,plain,
( spl0_8
| ~ spl0_6 ),
inference(rat,[],[s10,s7,s5]) ).
cnf(s27,plain,
~ spl0_6,
inference(rat,[],[s9,s6,s26,s5]) ).
cnf(s28,plain,
spl0_1,
inference(rat,[],[s8,s27]) ).
cnf(s29,plain,
spl0_5,
inference(rat,[],[s4,s28]) ).
cnf(s30,plain,
spl0_4,
inference(rat,[],[s3,s28]) ).
cnf(s31,plain,
spl0_3,
inference(rat,[],[s2,s28]) ).
cnf(s32,plain,
spl0_2,
inference(rat,[],[s1,s28]) ).
cnf(s33,plain,
spl0_11,
inference(rat,[],[s12,s29]) ).
cnf(s35,plain,
spl0_8,
inference(rat,[],[s22,s7,s30,s31,s32,s33]) ).
cnf(s36,plain,
~ spl0_9,
inference(rat,[],[s6,s35]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s23,s33,s32,s31,s30,s36,s35]) ).
fof(f743,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC377-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n007.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 09:19:40 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running first-order theorem proving
% 0.07/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.10/1.10 % (2261034)Input is clausal, will run a generic CNF schedule.
% 3.10/1.10 % (2261039)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=3476819069:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.10/1.10 % (2261041)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1086126569:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.10/1.10 % (2261045)dis-21_1_sil=8000:lcm=predicate:random_seed=2713502130: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)
% 3.10/1.10 % (2261042)lrs+10_1_sil=8000:sp=occurrence:random_seed=563666295:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.10/1.10 % (2261040)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=927621559:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.10/1.10 % (2261044)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=505123854:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.10/1.10 % (2261043)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=276585723:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.10/1.10 % (2261042)First to succeed.
% 3.10/1.10 % (2261042)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2261034"
% 3.10/1.10 % (2261043)Also succeeded, but the first one will report.
% 3.10/1.10 % (2261045)Instruction limit reached!
% 3.10/1.10 % (2261045)------------------------------
% 3.10/1.10 % (2261045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.10 % (2261045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.10 % (2261045)CaDiCaL version: 2.1.3
% 3.10/1.10 % (2261045)Termination reason: Instruction limit
% 3.10/1.10 % (2261045)Termination phase: Saturation
% 3.10/1.10 % (2261045)Time elapsed: 0.066 s
% 3.10/1.10 % (2261045)Peak memory usage: 89 MB
% 3.10/1.10 % (2261045)Instructions burned: 118 (million)
% 3.10/1.10 % (2261044)Instruction limit reached!
% 3.10/1.10 % (2261044)------------------------------
% 3.10/1.10 % (2261044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.10/1.10 % (2261044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.10/1.10 % (2261044)CaDiCaL version: 2.1.3
% 3.10/1.10 % (2261044)Termination reason: Instruction limit
% 3.10/1.10 % (2261044)Termination phase: Saturation
% 3.10/1.10 % (2261044)Time elapsed: 0.121 s
% 3.10/1.10 % (2261044)Peak memory usage: 90 MB
% 3.10/1.10 % (2261044)Instructions burned: 181 (million)
% 3.10/1.10 % (2261053)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1664535615:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.10/1.10 % (2261053)Also succeeded, but the first one will report.
% 3.10/1.10 % (2261042)Refutation found. Thanks to Tanya!
% 3.10/1.10 % SZS status Unsatisfiable for theBenchmark
% 3.10/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 3.76/1.20 % (2261042)------------------------------
% 3.76/1.20 % (2261042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.20 % (2261042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.20 % (2261042)CaDiCaL version: 2.1.3
% 3.76/1.20 % (2261042)Termination reason: Refutation
% 3.76/1.20 % (2261042)Time elapsed: 0.014 s
% 3.76/1.20 % (2261042)Peak memory usage: 89 MB
% 3.76/1.20 % (2261042)Instructions burned: 19 (million)
% 3.76/1.20 % (2261042)------------------------------
% 3.76/1.20 % (2261042)------------------------------
% 3.76/1.20 % (2261034)Success in time 0.449 s
% 3.76/1.20 % Vampire exiting
%------------------------------------------------------------------------------