%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC314-1 : 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 : n020.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 01:03:25 PM UTC 2026
% Result : Unsatisfiable 0.64s 0.98s
% Output : Refutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 37
% Syntax : Number of formulae : 157 ( 13 unt; 14 def)
% Number of atoms : 445 ( 100 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 523 ( 235 ~; 274 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f100,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
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(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(reorient_equations,[],[f121]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
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,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| sk3 = X0
| ~ ssList(X1)
| ~ ssList(X2)
| tl(sk4) != X1
| app(X1,X2) != X0
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ssItem(sk5)
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( ssList(sk6)
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk2
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f212,plain,
( sk2 = app(cons(sk5,nil),sk6)
| nil = sk2 ),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
( app(sk6,cons(sk5,nil)) != sk1
| nil = sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f214,plain,
( sk1 != app(sk6,cons(sk5,nil))
| nil = sk2 ),
inference(reorient_equations,[],[f213]) ).
fof(f215,negated_conjecture,
( ssList(sk6)
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f216,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f217,plain,
( sk2 = app(cons(sk5,nil),sk6)
| nil != sk1 ),
inference(reorient_equations,[],[f216]) ).
fof(f222,plain,
( ssItem(sk5)
| nil = sk4 ),
inference(definition_unfolding,[],[f208,f204]) ).
fof(f223,plain,
( ssItem(sk5)
| nil != sk3 ),
inference(definition_unfolding,[],[f209,f205]) ).
fof(f224,plain,
( ssList(sk6)
| nil = sk4 ),
inference(definition_unfolding,[],[f210,f204]) ).
fof(f225,plain,
( sk4 = app(cons(sk5,nil),sk6)
| nil = sk4 ),
inference(definition_unfolding,[],[f212,f204,f204]) ).
fof(f226,plain,
( sk3 != app(sk6,cons(sk5,nil))
| nil = sk4 ),
inference(definition_unfolding,[],[f214,f205,f204]) ).
fof(f227,plain,
( ssList(sk6)
| nil != sk3 ),
inference(definition_unfolding,[],[f215,f205]) ).
fof(f228,plain,
( sk4 = app(cons(sk5,nil),sk6)
| nil != sk3 ),
inference(definition_unfolding,[],[f217,f204,f205]) ).
fof(f230,plain,
! [X2,X3,X0] :
( ~ ssList(X0)
| sk3 = X0
| ~ ssList(tl(sk4))
| ~ ssList(X2)
| app(tl(sk4),X2) != X0
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f207]) ).
fof(f231,plain,
! [X2,X3] :
( ~ ssList(app(tl(sk4),X2))
| sk3 = app(tl(sk4),X2)
| ~ ssList(tl(sk4))
| ~ ssList(X2)
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f230]) ).
fof(f232,plain,
! [X3] :
( ~ ssList(app(tl(sk4),cons(X3,nil)))
| sk3 = app(tl(sk4),cons(X3,nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(X3,nil))
| ~ ssItem(X3)
| hd(sk4) != X3
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f231]) ).
fof(f233,plain,
( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
| sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f232]) ).
fof(f241,plain,
( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
| sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(duplicate_literal_removal,[],[f233]) ).
fof(f243,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f247,definition,
( spl0_2
<=> sk3 = app(sk6,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f249,plain,
( sk3 != app(sk6,cons(sk5,nil))
| spl0_2 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f252,definition,
( spl0_3
<=> sk4 = app(cons(sk5,nil),sk6) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f254,plain,
( sk4 = app(cons(sk5,nil),sk6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f255,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f228,f252,f243]) ).
fof(f257,definition,
( spl0_4
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f259,plain,
( ssList(sk6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f260,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f227,f257,f243]) ).
fof(f262,definition,
( spl0_5
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f263,plain,
( nil != sk4
| spl0_5 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f264,plain,
( nil = sk4
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f265,plain,
( spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f226,f247,f262]) ).
fof(f266,plain,
( spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f225,f252,f262]) ).
fof(f267,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f224,f257,f262]) ).
fof(f269,definition,
( spl0_6
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f271,plain,
( ssItem(sk5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f272,plain,
( ~ spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f223,f269,f243]) ).
fof(f273,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f222,f269,f262]) ).
fof(f274,plain,
( sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(forward_subsumption_resolution,[],[f241,f85]) ).
fof(f275,plain,
( ~ spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f206,f243,f262]) ).
fof(f277,definition,
( spl0_7
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f279,plain,
( ~ neq(sk4,nil)
| spl0_7 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f281,definition,
( spl0_8
<=> neq(nil,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f283,plain,
( ~ neq(nil,sk4)
| spl0_8 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f285,definition,
( spl0_9
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f287,plain,
( ~ ssItem(hd(sk4))
| spl0_9 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f289,definition,
( spl0_10
<=> ssList(cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f291,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_10 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f293,definition,
( spl0_11
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f295,plain,
( ~ ssList(tl(sk4))
| spl0_11 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f297,definition,
( spl0_12
<=> sk3 = app(tl(sk4),cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f299,plain,
( sk3 = app(tl(sk4),cons(hd(sk4),nil))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f274,f297,f293,f289,f285,f281,f277]) ).
fof(f318,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| spl0_10 ),
inference(resolution,[],[f86,f291]) ).
fof(f321,plain,
( ~ ssItem(hd(sk4))
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f318,f8]) ).
fof(f322,plain,
( ~ spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f321,f289,f285]) ).
fof(f323,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_9 ),
inference(resolution,[],[f287,f76]) ).
fof(f324,plain,
( nil = sk4
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f323,f203]) ).
fof(f325,plain,
( $false
| spl0_5
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f324,f263]) ).
fof(f326,plain,
( spl0_5
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f325]) ).
fof(f332,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sk5,X0)) = X0 )
| ~ spl0_6 ),
inference(resolution,[],[f96,f271]) ).
fof(f342,plain,
( sk6 = tl(cons(sk5,sk6))
| ~ spl0_4
| ~ spl0_6 ),
inference(resolution,[],[f332,f259]) ).
fof(f343,plain,
( ! [X0] :
( ~ ssList(X0)
| sk5 = hd(cons(sk5,X0)) )
| ~ spl0_6 ),
inference(resolution,[],[f97,f271]) ).
fof(f349,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_7 ),
inference(resolution,[],[f102,f279]) ).
fof(f352,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f349,f203]) ).
fof(f353,plain,
( nil = sk4
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f352,f8]) ).
fof(f354,plain,
( $false
| spl0_5
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f353,f263]) ).
fof(f355,plain,
( spl0_5
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f421,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_11 ),
inference(resolution,[],[f295,f75]) ).
fof(f422,plain,
( nil = sk4
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f421,f203]) ).
fof(f423,plain,
( $false
| spl0_5
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f422,f263]) ).
fof(f424,plain,
( spl0_5
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f426,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| nil = sk4
| spl0_8 ),
inference(resolution,[],[f283,f102]) ).
fof(f427,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f426,f8]) ).
fof(f429,plain,
( nil = sk4
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f427,f203]) ).
fof(f439,plain,
( $false
| spl0_5
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f429,f263]) ).
fof(f440,plain,
( spl0_5
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f466,plain,
( nil != sk4
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_3 ),
inference(superposition,[],[f122,f254]) ).
fof(f498,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) )
| ~ spl0_6 ),
inference(resolution,[],[f126,f271]) ).
fof(f597,definition,
( spl0_26
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f598,plain,
( ssList(cons(sk5,nil))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f599,plain,
( ~ ssList(cons(sk5,nil))
| spl0_26 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f610,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_26 ),
inference(resolution,[],[f599,f86]) ).
fof(f611,plain,
( ~ ssItem(sk5)
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f610,f8]) ).
fof(f612,plain,
( $false
| ~ spl0_6
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f611,f271]) ).
fof(f613,plain,
( ~ spl0_6
| spl0_26 ),
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f687,definition,
( spl0_28
<=> nil = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f688,plain,
( nil != cons(sk5,nil)
| spl0_28 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f689,plain,
( nil = cons(sk5,nil)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f750,plain,
( nil != nil
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_28 ),
inference(superposition,[],[f100,f689]) ).
fof(f754,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f750]) ).
fof(f756,plain,
( ~ ssList(nil)
| ~ spl0_6
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f754,f271]) ).
fof(f760,plain,
( $false
| ~ spl0_6
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f756,f8]) ).
fof(f761,plain,
( ~ spl0_6
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f760]) ).
fof(f976,plain,
( sk5 = hd(cons(sk5,sk6))
| ~ spl0_4
| ~ spl0_6 ),
inference(resolution,[],[f343,f259]) ).
fof(f1147,plain,
( app(cons(sk5,nil),sk6) = cons(sk5,sk6)
| ~ spl0_4
| ~ spl0_6 ),
inference(resolution,[],[f498,f259]) ).
fof(f1199,plain,
( sk4 = cons(sk5,sk6)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1147,f254]) ).
fof(f1399,plain,
( tl(sk4) = sk6
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f342,f1199]) ).
fof(f1890,plain,
( hd(sk4) = sk5
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f976,f1199]) ).
fof(f1939,plain,
( sk3 = app(tl(sk4),cons(sk5,nil))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f299,f1890]) ).
fof(f1954,plain,
( sk3 = app(sk6,cons(sk5,nil))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1939,f1399]) ).
fof(f1957,plain,
( $false
| spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1954,f249]) ).
fof(f1958,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1957]) ).
fof(f1994,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f466,f264]) ).
fof(f2028,plain,
( ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f1994,f259]) ).
fof(f2050,plain,
( nil = cons(sk5,nil)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f2028,f598]) ).
fof(f2072,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_26
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f2050,f688]) ).
fof(f2073,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_26
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f2072]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f255]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f260]) ).
cnf(s4,plain,
( ~ spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f265]) ).
cnf(s5,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f266]) ).
cnf(s6,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f267]) ).
cnf(s7,plain,
( ~ spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f272]) ).
cnf(s8,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f273]) ).
cnf(s9,plain,
( spl0_1
| ~ spl0_5 ),
inference(sat_conversion,[],[f275]) ).
cnf(s10,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f300]) ).
cnf(s11,plain,
( ~ spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f322]) ).
cnf(s12,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f326]) ).
cnf(s13,plain,
( spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f355]) ).
cnf(s18,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f424]) ).
cnf(s20,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f440]) ).
cnf(s29,plain,
( ~ spl0_6
| spl0_26 ),
inference(sat_conversion,[],[f613]) ).
cnf(s35,plain,
( ~ spl0_6
| ~ spl0_28 ),
inference(sat_conversion,[],[f761]) ).
cnf(s79,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12 ),
inference(sat_conversion,[],[f1958]) ).
cnf(s84,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_26
| spl0_28 ),
inference(sat_conversion,[],[f2073]) ).
cnf(s86,plain,
spl0_5,
inference(rat,[],[s10,s79,s11,s4,s5,s6,s8,s12,s13,s18,s20]) ).
cnf(s87,plain,
spl0_1,
inference(rat,[],[s9,s86]) ).
cnf(s88,plain,
spl0_6,
inference(rat,[],[s7,s87]) ).
cnf(s89,plain,
spl0_4,
inference(rat,[],[s3,s87]) ).
cnf(s90,plain,
spl0_3,
inference(rat,[],[s2,s87]) ).
cnf(s96,plain,
~ spl0_28,
inference(rat,[],[s35,s88]) ).
cnf(s97,plain,
spl0_26,
inference(rat,[],[s29,s88]) ).
cnf(s98,plain,
$false,
inference(rat,[],[s84,s96,s97,s86,s89,s90]) ).
fof(f2098,plain,
$false,
inference(avatar_sat_refutation,[],[s98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC314-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n020.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 09:02:04 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 0.64/0.98 % (43405)Input is clausal, will run a generic CNF schedule.
% 0.64/0.98 % (43413)lrs+10_1_sil=8000:sp=occurrence:random_seed=601429182:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.64/0.98 % (43413)First to succeed.
% 0.64/0.98 % (43413)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-43405"
% 0.64/0.98 % (43411)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=966279641:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.64/0.98 % (43416)dis-21_1_sil=8000:lcm=predicate:random_seed=2368565053: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)
% 0.64/0.98 % (43415)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=578604798:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.64/0.98 % (43414)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=830579758:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.64/0.98 % (43410)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=1940558697:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.64/0.98 % (43412)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=999296128:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.64/0.98 % (43415)Also succeeded, but the first one will report.
% 0.64/0.98 % (43416)Instruction limit reached!
% 0.64/0.98 % (43416)------------------------------
% 0.64/0.98 % (43416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.64/0.98 % (43416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.98 % (43416)CaDiCaL version: 2.1.3
% 0.64/0.98 % (43416)Termination reason: Instruction limit
% 0.64/0.98 % (43416)Termination phase: Saturation
% 0.64/0.98 % (43416)Time elapsed: 0.060 s
% 0.64/0.98 % (43416)Peak memory usage: 89 MB
% 0.64/0.98 % (43416)Instructions burned: 118 (million)
% 0.64/0.98 % (43414)Instruction limit reached!
% 0.64/0.98 % (43414)------------------------------
% 0.64/0.98 % (43414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.64/0.98 % (43414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.98 % (43414)CaDiCaL version: 2.1.3
% 0.64/0.98 % (43414)Termination reason: Instruction limit
% 0.64/0.98 % (43414)Termination phase: Saturation
% 0.64/0.98 % (43414)Time elapsed: 0.067 s
% 0.64/0.98 % (43414)Peak memory usage: 89 MB
% 0.64/0.98 % (43414)Instructions burned: 114 (million)
% 0.64/0.98 % (43413)Refutation found. Thanks to Tanya!
% 0.64/0.98 % SZS status Unsatisfiable for theBenchmark
% 0.64/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 2.88/1.18 % (43413)------------------------------
% 2.88/1.18 % (43413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.88/1.18 % (43413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/1.18 % (43413)CaDiCaL version: 2.1.3
% 2.88/1.18 % (43413)Termination reason: Refutation
% 2.88/1.18 % (43413)Time elapsed: 0.024 s
% 2.88/1.18 % (43413)Peak memory usage: 90 MB
% 2.88/1.18 % (43413)Instructions burned: 68 (million)
% 2.88/1.18 % (43413)------------------------------
% 2.88/1.18 % (43413)------------------------------
% 2.88/1.18 % (43405)Success in time 0.323 s
% 2.88/1.18 % Vampire exiting
%------------------------------------------------------------------------------