%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC342-1 : 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 : n010.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 01:03:32 PM UTC 2026
% Result : Unsatisfiable 6.60s 1.76s
% Output : Refutation 8.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 36
% Syntax : Number of formulae : 122 ( 24 unt; 11 def)
% Number of atoms : 366 ( 37 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 460 ( 216 ~; 234 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 11 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f79,axiom,
! [X0] :
( nil != X0
| ~ ssList(X0)
| segmentP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
fof(f182,axiom,
! [X0,X1] :
( app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f186,axiom,
! [X2,X3,X0,X1] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
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,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
inference(reorient_equations,[],[f208]) ).
fof(f210,negated_conjecture,
( memberP(sk4,sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f211,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f212,plain,
( sk3 = cons(sk5,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
( memberP(sk4,sk5)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f214,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f217,plain,
( ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3) ),
inference(definition_unfolding,[],[f214,f204,f205,f205]) ).
fof(f218,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f232,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
fof(f242,definition,
sF0 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f243,plain,
cons(sk5,nil) = sF0,
inference(reorient_equations,[],[f242]) ).
fof(f244,plain,
( sk3 = sF0
| nil = sk4 ),
inference(definition_folding,[],[f209,f243]) ).
fof(f245,plain,
( sk3 = sF0
| nil = sk3 ),
inference(definition_folding,[],[f212,f243]) ).
fof(f253,definition,
( spl1_1
<=> totalorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f257,definition,
( spl1_2
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f259,plain,
( ~ segmentP(sk4,sk3)
| spl1_2 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f260,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f217,f257,f253]) ).
fof(f262,definition,
( spl1_3
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f264,plain,
( nil = sk3
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f266,definition,
( spl1_4
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f268,plain,
( memberP(sk4,sk5)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f269,plain,
( spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f213,f266,f262]) ).
fof(f271,definition,
( spl1_5
<=> sk3 = sF0 ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f273,plain,
( sk3 = sF0
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f274,plain,
( spl1_3
| spl1_5 ),
inference(avatar_split_clause,[],[f245,f271,f262]) ).
fof(f276,definition,
( spl1_6
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f278,plain,
( nil = sk4
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,plain,
( spl1_6
| spl1_4 ),
inference(avatar_split_clause,[],[f210,f266,f276]) ).
fof(f280,plain,
( spl1_6
| spl1_5 ),
inference(avatar_split_clause,[],[f244,f271,f276]) ).
fof(f282,definition,
( spl1_7
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f284,plain,
( ssItem(sk5)
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f285,plain,
( spl1_3
| spl1_7 ),
inference(avatar_split_clause,[],[f207,f282,f262]) ).
fof(f286,plain,
( spl1_6
| spl1_7 ),
inference(avatar_split_clause,[],[f206,f282,f276]) ).
fof(f292,definition,
( spl1_9
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).
fof(f293,plain,
( ssList(nil)
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f297,definition,
( spl1_10
<=> ! [X1] :
( ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f298,plain,
( ! [X1] :
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) )
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f315,definition,
( spl1_14
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl1_14])],[avatar_definition]) ).
fof(f317,plain,
( segmentP(nil,nil)
| ~ spl1_14 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f318,plain,
( spl1_14
| ~ spl1_9 ),
inference(avatar_split_clause,[],[f218,f292,f315]) ).
fof(f326,plain,
spl1_10,
inference(avatar_split_clause,[],[f67,f297]) ).
fof(f328,plain,
spl1_9,
inference(avatar_split_clause,[],[f8,f292]) ).
fof(f332,plain,
( totalorderedP(sk3)
| ~ spl1_3 ),
inference(backward_demodulation,[],[f4,f264]) ).
fof(f371,plain,
( sk3 = sk4
| ~ spl1_3
| ~ spl1_6 ),
inference(backward_demodulation,[],[f264,f278]) ).
fof(f378,plain,
( segmentP(sk4,sk4)
| ~ spl1_6
| ~ spl1_14 ),
inference(forward_demodulation,[],[f317,f278]) ).
fof(f400,plain,
( spl1_1
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f332,f262,f253]) ).
fof(f402,plain,
( ~ segmentP(sk4,sk4)
| spl1_2
| ~ spl1_3
| ~ spl1_6 ),
inference(backward_demodulation,[],[f259,f371]) ).
fof(f445,plain,
( $false
| spl1_2
| ~ spl1_3
| ~ spl1_6
| ~ spl1_14 ),
inference(forward_subsumption_resolution,[],[f402,f378]) ).
fof(f446,plain,
( spl1_2
| ~ spl1_3
| ~ spl1_6
| ~ spl1_14 ),
inference(avatar_contradiction_clause,[],[f445]) ).
fof(f489,plain,
( sk3 = cons(sk5,nil)
| ~ spl1_5 ),
inference(forward_demodulation,[],[f243,f273]) ).
fof(f552,plain,
( totalorderedP(sk3)
| ~ ssItem(sk5)
| ~ spl1_5
| ~ spl1_10 ),
inference(superposition,[],[f298,f489]) ).
fof(f554,plain,
( totalorderedP(sk3)
| ~ spl1_5
| ~ spl1_7
| ~ spl1_10 ),
inference(forward_subsumption_resolution,[],[f552,f284]) ).
fof(f555,plain,
( spl1_1
| ~ spl1_5
| ~ spl1_7
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f554,f297,f282,f271,f253]) ).
fof(f573,plain,
! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[],[f232,f74]) ).
fof(f574,plain,
! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f573]) ).
fof(f577,plain,
! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f574,f85]) ).
fof(f578,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl1_9 ),
inference(forward_subsumption_resolution,[],[f577,f293]) ).
fof(f585,plain,
( ! [X0] :
( app(sk3,X0) = cons(sk5,X0)
| ~ ssList(X0)
| ~ ssItem(sk5) )
| ~ spl1_5 ),
inference(superposition,[],[f126,f489]) ).
fof(f594,plain,
( ! [X0] :
( app(sk3,X0) = cons(sk5,X0)
| ~ ssList(X0) )
| ~ spl1_5
| ~ spl1_7 ),
inference(forward_subsumption_resolution,[],[f585,f284]) ).
fof(f597,plain,
! [X2,X3,X0,X1] :
( segmentP(app(X0,X2),X3)
| ~ ssList(X2)
| ~ ssList(skaf42(X0,X1))
| ~ ssList(X3)
| ~ ssList(cons(X1,skaf43(X1,X0)))
| ~ segmentP(cons(X1,skaf43(X1,X0)),X3)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[],[f186,f182]) ).
fof(f604,plain,
! [X2,X3,X0,X1] :
( ~ segmentP(cons(X1,skaf43(X1,X0)),X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(cons(X1,skaf43(X1,X0)))
| segmentP(app(X0,X2),X3)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(forward_subsumption_resolution,[],[f597,f53]) ).
fof(f610,plain,
( ! [X0] :
( segmentP(cons(sk5,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(X0) )
| ~ spl1_5
| ~ spl1_7
| ~ spl1_9 ),
inference(superposition,[],[f578,f594]) ).
fof(f618,plain,
( ! [X0] :
( segmentP(cons(sk5,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0) )
| ~ spl1_5
| ~ spl1_7
| ~ spl1_9 ),
inference(duplicate_literal_removal,[],[f610]) ).
fof(f623,plain,
( ! [X0] :
( segmentP(cons(sk5,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_5
| ~ spl1_7
| ~ spl1_9 ),
inference(forward_subsumption_resolution,[],[f618,f202]) ).
fof(f625,plain,
( ! [X0,X1] :
( ~ ssList(skaf43(sk5,X0))
| ~ ssList(X1)
| ~ ssList(sk3)
| ~ ssList(cons(sk5,skaf43(sk5,X0)))
| segmentP(app(X0,X1),sk3)
| ~ ssItem(sk5)
| ~ ssList(X0)
| ~ memberP(X0,sk5) )
| ~ spl1_5
| ~ spl1_7
| ~ spl1_9 ),
inference(resolution,[],[f623,f604]) ).
fof(f628,plain,
( ! [X0,X1] :
( ~ ssList(skaf43(sk5,X0))
| ~ ssList(X1)
| ~ ssList(sk3)
| segmentP(app(X0,X1),sk3)
| ~ ssItem(sk5)
| ~ ssList(X0)
| ~ memberP(X0,sk5) )
| ~ spl1_5
| ~ spl1_7
| ~ spl1_9 ),
inference(forward_subsumption_resolution,[],[f625,f86]) ).
fof(f629,plain,
( ! [X0,X1] :
( ~ ssList(skaf43(sk5,X0))
| ~ ssList(X1)
| segmentP(app(X0,X1),sk3)
| ~ ssItem(sk5)
| ~ ssList(X0)
| ~ memberP(X0,sk5) )
| ~ spl1_5
| ~ spl1_7
| ~ spl1_9 ),
inference(forward_subsumption_resolution,[],[f628,f202]) ).
fof(f630,plain,
( ! [X0,X1] :
( ~ ssList(skaf43(sk5,X0))
| ~ ssList(X1)
| segmentP(app(X0,X1),sk3)
| ~ ssList(X0)
| ~ memberP(X0,sk5) )
| ~ spl1_5
| ~ spl1_7
| ~ spl1_9 ),
inference(forward_subsumption_resolution,[],[f629,f284]) ).
fof(f631,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),sk3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X0,sk5) )
| ~ spl1_5
| ~ spl1_7
| ~ spl1_9 ),
inference(forward_subsumption_resolution,[],[f630,f52]) ).
fof(f632,plain,
( ! [X0] :
( segmentP(X0,sk3)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ memberP(X0,sk5)
| ~ ssList(X0) )
| ~ spl1_5
| ~ spl1_7
| ~ spl1_9 ),
inference(superposition,[],[f631,f73]) ).
fof(f640,plain,
( ! [X0] :
( segmentP(X0,sk3)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ memberP(X0,sk5) )
| ~ spl1_5
| ~ spl1_7
| ~ spl1_9 ),
inference(duplicate_literal_removal,[],[f632]) ).
fof(f643,plain,
( ! [X0] :
( ~ memberP(X0,sk5)
| ~ ssList(X0)
| segmentP(X0,sk3) )
| ~ spl1_5
| ~ spl1_7
| ~ spl1_9 ),
inference(forward_subsumption_resolution,[],[f640,f293]) ).
fof(f652,plain,
( ~ ssList(sk4)
| segmentP(sk4,sk3)
| ~ spl1_4
| ~ spl1_5
| ~ spl1_7
| ~ spl1_9 ),
inference(resolution,[],[f643,f268]) ).
fof(f653,plain,
( segmentP(sk4,sk3)
| ~ spl1_4
| ~ spl1_5
| ~ spl1_7
| ~ spl1_9 ),
inference(forward_subsumption_resolution,[],[f652,f203]) ).
fof(f654,plain,
( $false
| spl1_2
| ~ spl1_4
| ~ spl1_5
| ~ spl1_7
| ~ spl1_9 ),
inference(forward_subsumption_resolution,[],[f653,f259]) ).
fof(f655,plain,
( spl1_2
| ~ spl1_4
| ~ spl1_5
| ~ spl1_7
| ~ spl1_9 ),
inference(avatar_contradiction_clause,[],[f654]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f260]) ).
cnf(s2,plain,
( spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f269]) ).
cnf(s3,plain,
( spl1_3
| spl1_5 ),
inference(sat_conversion,[],[f274]) ).
cnf(s4,plain,
( spl1_4
| spl1_6 ),
inference(sat_conversion,[],[f279]) ).
cnf(s5,plain,
( spl1_5
| spl1_6 ),
inference(sat_conversion,[],[f280]) ).
cnf(s6,plain,
( spl1_3
| spl1_7 ),
inference(sat_conversion,[],[f285]) ).
cnf(s7,plain,
( spl1_6
| spl1_7 ),
inference(sat_conversion,[],[f286]) ).
cnf(s13,plain,
( ~ spl1_9
| spl1_14 ),
inference(sat_conversion,[],[f318]) ).
cnf(s15,plain,
spl1_10,
inference(sat_conversion,[],[f326]) ).
cnf(s17,plain,
spl1_9,
inference(sat_conversion,[],[f328]) ).
cnf(s18,plain,
( spl1_1
| ~ spl1_3 ),
inference(sat_conversion,[],[f400]) ).
cnf(s19,plain,
( spl1_2
| ~ spl1_3
| ~ spl1_6
| ~ spl1_14 ),
inference(sat_conversion,[],[f446]) ).
cnf(s22,plain,
( spl1_1
| ~ spl1_5
| ~ spl1_7
| ~ spl1_10 ),
inference(sat_conversion,[],[f555]) ).
cnf(s24,plain,
( spl1_2
| ~ spl1_4
| ~ spl1_5
| ~ spl1_7
| ~ spl1_9 ),
inference(sat_conversion,[],[f655]) ).
cnf(s25,plain,
spl1_14,
inference(rat,[],[s13,s17]) ).
cnf(s29,plain,
spl1_1,
inference(rat,[],[s22,s3,s6,s18,s15]) ).
cnf(s30,plain,
~ spl1_2,
inference(rat,[],[s1,s29]) ).
cnf(s31,plain,
spl1_3,
inference(rat,[],[s24,s2,s3,s6,s30,s17]) ).
cnf(s32,plain,
~ spl1_6,
inference(rat,[],[s19,s25,s30,s31]) ).
cnf(s33,plain,
spl1_7,
inference(rat,[],[s7,s32]) ).
cnf(s34,plain,
spl1_5,
inference(rat,[],[s5,s32]) ).
cnf(s35,plain,
spl1_4,
inference(rat,[],[s4,s32]) ).
cnf(s36,plain,
$false,
inference(rat,[],[s24,s17,s33,s30,s34,s35]) ).
fof(f656,plain,
$false,
inference(avatar_sat_refutation,[],[s36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC342-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n010.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 09:11:48 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 6.60/1.76 % (1790860)Input is clausal, will run a generic CNF schedule.
% 6.60/1.76 % (1790869)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=469596461:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.60/1.76 % (1790869)Instruction limit reached!
% 6.60/1.76 % (1790869)------------------------------
% 6.60/1.76 % (1790869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.76 % (1790869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.76 % (1790869)CaDiCaL version: 2.1.3
% 6.60/1.76 % (1790869)Termination reason: Instruction limit
% 6.60/1.76 % (1790869)Termination phase: Saturation
% 6.60/1.76 % (1790869)Time elapsed: 0.038 s
% 6.60/1.76 % (1790869)Peak memory usage: 89 MB
% 6.60/1.76 % (1790869)Instructions burned: 117 (million)
% 6.60/1.76 % (1790870)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2991498889:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.60/1.76 % (1790868)lrs+10_1_sil=8000:sp=occurrence:random_seed=341877997:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.60/1.76 % (1790865)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=1614657272:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.60/1.76 % (1790866)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1284060151:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.60/1.76 % (1790867)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1719512366:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.60/1.76 % (1790871)dis-21_1_sil=8000:lcm=predicate:random_seed=1278041873: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)
% 6.60/1.76 % (1790871)Instruction limit reached!
% 6.60/1.76 % (1790871)------------------------------
% 6.60/1.76 % (1790871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.76 % (1790871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.76 % (1790871)CaDiCaL version: 2.1.3
% 6.60/1.76 % (1790871)Termination reason: Instruction limit
% 6.60/1.76 % (1790871)Termination phase: Saturation
% 6.60/1.76 % (1790871)Time elapsed: 0.051 s
% 6.60/1.76 % (1790871)Peak memory usage: 89 MB
% 6.60/1.76 % (1790871)Instructions burned: 119 (million)
% 6.60/1.76 % (1790868)Instruction limit reached!
% 6.60/1.76 % (1790868)------------------------------
% 6.60/1.76 % (1790868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.76 % (1790868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.76 % (1790868)CaDiCaL version: 2.1.3
% 6.60/1.76 % (1790868)Termination reason: Instruction limit
% 6.60/1.76 % (1790868)Termination phase: Saturation
% 6.60/1.76 % (1790868)Time elapsed: 0.067 s
% 6.60/1.76 % (1790868)Peak memory usage: 90 MB
% 6.60/1.76 % (1790868)Instructions burned: 107 (million)
% 6.60/1.76 % (1790878)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=1316566323:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.60/1.76 % (1790870)Instruction limit reached!
% 6.60/1.76 % (1790870)------------------------------
% 6.60/1.76 % (1790870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.76 % (1790870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.76 % (1790870)CaDiCaL version: 2.1.3
% 6.60/1.76 % (1790870)Termination reason: Instruction limit
% 6.60/1.76 % (1790870)Termination phase: Saturation
% 6.60/1.76 % (1790870)Time elapsed: 0.127 s
% 6.60/1.76 % (1790870)Peak memory usage: 90 MB
% 6.60/1.76 % (1790870)Instructions burned: 180 (million)
% 6.60/1.76 % (1790878)Instruction limit reached!
% 6.60/1.76 % (1790878)------------------------------
% 6.60/1.76 % (1790878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.76 % (1790878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.76 % (1790878)CaDiCaL version: 2.1.3
% 6.60/1.76 % (1790878)Termination reason: Instruction limit
% 6.60/1.76 % (1790878)Termination phase: Saturation
% 6.60/1.76 % (1790878)Time elapsed: 0.049 s
% 6.60/1.76 % (1790878)Peak memory usage: 89 MB
% 6.60/1.76 % (1790878)Instructions burned: 144 (million)
% 6.60/1.76 % (1790880)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1490863595:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.60/1.76 % (1790881)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1574907304:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.60/1.76 % (1790884)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=678613681:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 6.60/1.76 % (1790883)lrs+10_64_to=lpo:sil=8000:random_seed=429052706:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.60/1.76 % (1790884)Instruction limit reached!
% 6.60/1.76 % (1790884)------------------------------
% 6.60/1.76 % (1790884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.76 % (1790884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.76 % (1790884)CaDiCaL version: 2.1.3
% 6.60/1.76 % (1790884)Termination reason: Instruction limit
% 6.60/1.76 % (1790884)Termination phase: Saturation
% 6.60/1.76 % (1790884)Time elapsed: 0.064 s
% 6.60/1.76 % (1790884)Peak memory usage: 90 MB
% 6.60/1.76 % (1790884)Instructions burned: 195 (million)
% 6.60/1.76 % (1790880)Instruction limit reached!
% 6.60/1.76 % (1790880)------------------------------
% 6.60/1.76 % (1790880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.76 % (1790880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.76 % (1790880)CaDiCaL version: 2.1.3
% 6.60/1.76 % (1790880)Termination reason: Instruction limit
% 6.60/1.76 % (1790880)Termination phase: Saturation
% 6.60/1.76 % (1790880)Time elapsed: 0.100 s
% 6.60/1.76 % (1790880)Peak memory usage: 92 MB
% 6.60/1.76 % (1790880)Instructions burned: 190 (million)
% 6.60/1.76 % (1790883)Instruction limit reached!
% 6.60/1.76 % (1790883)------------------------------
% 6.60/1.76 % (1790883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.76 % (1790883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.76 % (1790883)CaDiCaL version: 2.1.3
% 6.60/1.76 % (1790883)Termination reason: Instruction limit
% 6.60/1.76 % (1790883)Termination phase: Saturation
% 6.60/1.76 % (1790883)Time elapsed: 0.067 s
% 6.60/1.76 % (1790883)Peak memory usage: 90 MB
% 6.60/1.76 % (1790883)Instructions burned: 126 (million)
% 6.60/1.76 % (1790881)Instruction limit reached!
% 6.60/1.76 % (1790881)------------------------------
% 6.60/1.76 % (1790881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.76 % (1790881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.76 % (1790881)CaDiCaL version: 2.1.3
% 6.60/1.76 % (1790881)Termination reason: Instruction limit
% 6.60/1.76 % (1790881)Termination phase: Saturation
% 6.60/1.76 % (1790881)Time elapsed: 0.133 s
% 6.60/1.76 % (1790881)Peak memory usage: 91 MB
% 6.60/1.76 % (1790881)Instructions burned: 219 (million)
% 6.60/1.76 % (1790889)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=83695766:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.60/1.76 % (1790890)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4016337174:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.60/1.76 % (1790889)Instruction limit reached!
% 6.60/1.76 % (1790889)------------------------------
% 6.60/1.76 % (1790889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.76 % (1790889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.76 % (1790889)CaDiCaL version: 2.1.3
% 6.60/1.76 % (1790889)Termination reason: Instruction limit
% 6.60/1.76 % (1790889)Termination phase: Saturation
% 6.60/1.76 % (1790889)Time elapsed: 0.048 s
% 6.60/1.76 % (1790889)Peak memory usage: 91 MB
% 6.60/1.76 % (1790889)Instructions burned: 159 (million)
% 6.60/1.76 % (1790891)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1862057016:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 6.60/1.76 % (1790892)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2400811763:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 6.60/1.76 % (1790895)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1784393684:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 6.60/1.76 % (1790891)Instruction limit reached!
% 6.60/1.76 % (1790891)------------------------------
% 6.60/1.76 % (1790891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.76 % (1790891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.76 % (1790891)CaDiCaL version: 2.1.3
% 6.60/1.76 % (1790891)Termination reason: Instruction limit
% 6.60/1.76 % (1790891)Termination phase: Saturation
% 6.60/1.76 % (1790891)Time elapsed: 0.060 s
% 6.60/1.76 % (1790891)Peak memory usage: 89 MB
% 6.60/1.76 % (1790891)Instructions burned: 107 (million)
% 6.60/1.76 % (1790892)Instruction limit reached!
% 6.60/1.76 % (1790892)------------------------------
% 6.60/1.76 % (1790892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.76 % (1790892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.76 % (1790892)CaDiCaL version: 2.1.3
% 6.60/1.76 % (1790892)Termination reason: Instruction limit
% 6.60/1.76 % (1790892)Termination phase: Saturation
% 6.60/1.76 % (1790892)Time elapsed: 0.066 s
% 6.60/1.76 % (1790892)Peak memory usage: 90 MB
% 6.60/1.76 % (1790892)Instructions burned: 107 (million)
% 6.60/1.76 % (1790895)Instruction limit reached!
% 6.60/1.76 % (1790895)------------------------------
% 6.60/1.76 % (1790895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.76 % (1790895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.76 % (1790895)CaDiCaL version: 2.1.3
% 6.60/1.76 % (1790895)Termination reason: Instruction limit
% 6.60/1.76 % (1790895)Termination phase: Saturation
% 6.60/1.76 % (1790895)Time elapsed: 0.084 s
% 6.60/1.76 % (1790895)Peak memory usage: 90 MB
% 6.60/1.76 % (1790895)Instructions burned: 244 (million)
% 6.60/1.76 % (1790899)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2633285753:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.60/1.76 % (1790900)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1464569199:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 6.60/1.76 % (1790901)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2512069386:i=499:bd=all_2992 on theBenchmark for (2992ds/499Mi)
% 6.60/1.76 % (1790867)First to succeed.
% 6.60/1.76 % (1790867)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1790860"
% 6.60/1.76 % (1790865)Also succeeded, but the first one will report.
% 6.60/1.76 % (1790900)Instruction limit reached!
% 6.60/1.76 % (1790900)------------------------------
% 6.60/1.76 % (1790900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.76 % (1790900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.76 % (1790900)CaDiCaL version: 2.1.3
% 6.60/1.76 % (1790900)Termination reason: Instruction limit
% 6.60/1.76 % (1790900)Termination phase: Saturation
% 6.60/1.76 % (1790900)Time elapsed: 0.096 s
% 6.60/1.76 % (1790900)Peak memory usage: 90 MB
% 6.60/1.76 % (1790900)Instructions burned: 135 (million)
% 6.60/1.76 % (1790901)Instruction limit reached!
% 6.60/1.76 % (1790901)------------------------------
% 6.60/1.76 % (1790901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.76 % (1790901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.76 % (1790901)CaDiCaL version: 2.1.3
% 6.60/1.76 % (1790901)Termination reason: Instruction limit
% 6.60/1.76 % (1790901)Termination phase: Saturation
% 6.60/1.76 % (1790901)Time elapsed: 0.142 s
% 6.60/1.76 % (1790901)Peak memory usage: 98 MB
% 6.60/1.76 % (1790901)Instructions burned: 500 (million)
% 6.60/1.76 % (1790905)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3582126124:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 6.60/1.76 % (1790906)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=526730714:i=264:kws=precedence:fsr=off_2990 on theBenchmark for (2990ds/264Mi)
% 6.60/1.76 % (1790867)Refutation found. Thanks to Tanya!
% 6.60/1.76 % SZS status Unsatisfiable for theBenchmark
% 6.60/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 8.25/1.95 % (1790867)------------------------------
% 8.25/1.95 % (1790867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.25/1.95 % (1790867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.25/1.95 % (1790867)CaDiCaL version: 2.1.3
% 8.25/1.95 % (1790867)Termination reason: Refutation
% 8.25/1.95 % (1790867)Time elapsed: 0.668 s
% 8.25/1.95 % (1790867)Peak memory usage: 130 MB
% 8.25/1.95 % (1790867)Instructions burned: 1012 (million)
% 8.25/1.95 % (1790867)------------------------------
% 8.25/1.95 % (1790867)------------------------------
% 8.25/1.95 % (1790860)Success in time 1.084 s
% 8.25/1.95 % Vampire exiting
%------------------------------------------------------------------------------