%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC285-1 : 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 : n003.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 01:03:17 PM UTC 2026
% Result : Unsatisfiable 3.02s 1.12s
% Output : Refutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 41
% Syntax : Number of formulae : 158 ( 29 unt; 10 def)
% Number of atoms : 471 ( 51 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 601 ( 288 ~; 303 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 11 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f62,axiom,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
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(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(f103,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f119,axiom,
! [X0,X1] :
( cons(X0,nil) != X1
| ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
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(f123,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f124,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
inference(reorient_equations,[],[f123]) ).
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(f173,axiom,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X2 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X0 = X2 ),
inference(reorient_equations,[],[f173]) ).
fof(f189,axiom,
! [X2,X3,X0,X1] :
( app(X0,cons(X1,X2)) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X3)
| memberP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
sk1 = app(app(sk6,cons(sk5,nil)),sk7),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
ssItem(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,negated_conjecture,
( memberP(sk6,sk8)
| memberP(sk7,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f214,negated_conjecture,
( memberP(sk6,sk8)
| ~ leq(sk5,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f215,negated_conjecture,
( ~ leq(sk8,sk5)
| memberP(sk7,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f216,negated_conjecture,
( ~ leq(sk8,sk5)
| ~ leq(sk5,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f217,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f220,plain,
sk3 = app(app(sk6,cons(sk5,nil)),sk7),
inference(definition_unfolding,[],[f211,f205]) ).
fof(f225,plain,
! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f189]) ).
fof(f227,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f119]) ).
fof(f235,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f237,plain,
( ~ neq(sk4,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f239,definition,
( spl0_2
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f241,plain,
( singletonP(sk3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f242,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f217,f239,f235]) ).
fof(f244,definition,
( spl0_3
<=> leq(sk5,sk8) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f246,plain,
( ~ leq(sk5,sk8)
| spl0_3 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f248,definition,
( spl0_4
<=> leq(sk8,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f250,plain,
( ~ leq(sk8,sk5)
| spl0_4 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f251,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f216,f248,f244]) ).
fof(f253,definition,
( spl0_5
<=> memberP(sk7,sk8) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f255,plain,
( memberP(sk7,sk8)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f256,plain,
( spl0_5
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f215,f248,f253]) ).
fof(f258,definition,
( spl0_6
<=> memberP(sk6,sk8) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f260,plain,
( memberP(sk6,sk8)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f261,plain,
( ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f214,f258,f244]) ).
fof(f262,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f213,f258,f253]) ).
fof(f289,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(resolution,[],[f102,f237]) ).
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(f299,plain,
( segmentP(nil,sk3)
| spl0_1 ),
inference(superposition,[],[f206,f295]) ).
fof(f310,plain,
( ~ ssList(sk3)
| nil = sk3
| spl0_1 ),
inference(resolution,[],[f299,f80]) ).
fof(f311,plain,
( nil = sk3
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f310,f202]) ).
fof(f321,plain,
( nil != sk3
| ~ ssList(sk7)
| ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil)) ),
inference(superposition,[],[f122,f220]) ).
fof(f326,plain,
( ~ ssList(sk7)
| ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f321,f311]) ).
fof(f327,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil))
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f326,f209]) ).
fof(f329,definition,
( spl0_7
<=> nil = app(sk6,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f331,plain,
( nil = app(sk6,cons(sk5,nil))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f333,definition,
( spl0_8
<=> ssList(app(sk6,cons(sk5,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f334,plain,
( ssList(app(sk6,cons(sk5,nil)))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f335,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| spl0_8 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f336,plain,
( spl0_7
| ~ spl0_8
| spl0_1 ),
inference(avatar_split_clause,[],[f327,f235,f333,f329]) ).
fof(f347,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| spl0_8 ),
inference(resolution,[],[f335,f85]) ).
fof(f348,plain,
( ~ ssList(cons(sk5,nil))
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f347,f208]) ).
fof(f364,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_8 ),
inference(resolution,[],[f348,f86]) ).
fof(f365,plain,
( ~ ssItem(sk5)
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f364,f8]) ).
fof(f366,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f365,f207]) ).
fof(f367,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f366]) ).
fof(f387,plain,
( nil != nil
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| nil = cons(sk5,nil)
| ~ spl0_7 ),
inference(superposition,[],[f124,f331]) ).
fof(f391,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| nil = cons(sk5,nil)
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f387]) ).
fof(f393,plain,
( ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f391,f208]) ).
fof(f400,definition,
( spl0_10
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f401,plain,
( ssList(cons(sk5,nil))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f402,plain,
( ~ ssList(cons(sk5,nil))
| spl0_10 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f405,definition,
( spl0_11
<=> nil = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f407,plain,
( nil = cons(sk5,nil)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f408,plain,
( spl0_11
| ~ spl0_10
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f393,f329,f400,f405]) ).
fof(f414,plain,
! [X0] :
( memberP(sk3,X0)
| ~ ssList(sk7)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(app(sk6,cons(sk5,nil)),X0) ),
inference(superposition,[],[f151,f220]) ).
fof(f420,plain,
! [X0] :
( memberP(sk3,X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(app(sk6,cons(sk5,nil)),X0) ),
inference(forward_subsumption_resolution,[],[f414,f209]) ).
fof(f426,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_10 ),
inference(resolution,[],[f402,f86]) ).
fof(f427,plain,
( ~ ssItem(sk5)
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f426,f8]) ).
fof(f428,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f427,f207]) ).
fof(f429,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f428]) ).
fof(f438,plain,
! [X0] :
( memberP(sk3,X0)
| ~ ssList(sk7)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(superposition,[],[f152,f220]) ).
fof(f445,plain,
! [X0] :
( memberP(sk3,X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[],[f438,f209]) ).
fof(f495,plain,
( ~ ssList(sk3)
| sk3 = cons(skaf44(sk3),nil)
| ~ spl0_2 ),
inference(resolution,[],[f241,f103]) ).
fof(f496,plain,
( sk3 = cons(skaf44(sk3),nil)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f495,f202]) ).
fof(f665,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| singletonP(nil)
| ~ spl0_11 ),
inference(superposition,[],[f227,f407]) ).
fof(f676,plain,
( ~ ssItem(sk5)
| singletonP(nil)
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f665,f8]) ).
fof(f683,plain,
( singletonP(nil)
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f676,f207]) ).
fof(f686,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f683,f11]) ).
fof(f687,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f686]) ).
fof(f688,plain,
( ! [X0] :
( ~ memberP(app(sk6,cons(sk5,nil)),X0)
| ~ ssItem(X0)
| memberP(sk3,X0) )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f420,f334]) ).
fof(f689,plain,
( ! [X0] :
( ~ memberP(sk7,X0)
| ~ ssItem(X0)
| memberP(sk3,X0) )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f445,f334]) ).
fof(f720,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(nil)
| ~ ssItem(skaf44(sk3))
| ~ ssItem(X0)
| memberP(nil,X0)
| skaf44(sk3) = X0 )
| ~ spl0_2 ),
inference(superposition,[],[f174,f496]) ).
fof(f727,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(skaf44(sk3))
| ~ ssItem(X0)
| memberP(nil,X0)
| skaf44(sk3) = X0 )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f720,f8]) ).
fof(f729,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(nil,X0)
| skaf44(sk3) = X0 )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f727,f47]) ).
fof(f730,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| skaf44(sk3) = X0 )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f729,f71]) ).
fof(f911,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sk3,X0)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| ~ ssItem(X0)
| ~ memberP(sk6,X0) )
| ~ spl0_8 ),
inference(resolution,[],[f688,f151]) ).
fof(f912,plain,
( ~ ssItem(sk5)
| memberP(sk3,sk5)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_8 ),
inference(resolution,[],[f688,f225]) ).
fof(f913,plain,
( ~ ssItem(sk5)
| memberP(sk3,sk5)
| ~ ssList(sk6)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f912]) ).
fof(f914,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sk3,X0)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| ~ memberP(sk6,X0) )
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f911]) ).
fof(f916,plain,
( memberP(sk3,sk5)
| ~ ssList(sk6)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f913,f207]) ).
fof(f917,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(sk3,X0)
| ~ ssList(sk6)
| ~ memberP(sk6,X0) )
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f914,f401]) ).
fof(f919,plain,
( memberP(sk3,sk5)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f916,f208]) ).
fof(f920,plain,
( ! [X0] :
( ~ memberP(sk6,X0)
| memberP(sk3,X0)
| ~ ssItem(X0) )
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f917,f208]) ).
fof(f922,plain,
( memberP(sk3,sk5)
| ~ ssList(nil)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f919,f334]) ).
fof(f923,plain,
( memberP(sk3,sk5)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f922,f8]) ).
fof(f1010,plain,
( memberP(sk3,sk8)
| ~ ssItem(sk8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(resolution,[],[f920,f260]) ).
fof(f1011,plain,
( memberP(sk3,sk8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1010,f212]) ).
fof(f1113,plain,
( ~ ssItem(sk5)
| sk5 = skaf44(sk3)
| ~ spl0_2
| ~ spl0_8 ),
inference(resolution,[],[f730,f923]) ).
fof(f1114,plain,
( ~ ssItem(sk8)
| sk8 = skaf44(sk3)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(resolution,[],[f730,f1011]) ).
fof(f1115,plain,
( sk8 = skaf44(sk3)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1114,f212]) ).
fof(f1116,plain,
( sk5 = skaf44(sk3)
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f1113,f207]) ).
fof(f1136,plain,
( sk5 = sk8
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f1116,f1115]) ).
fof(f1153,plain,
( ~ leq(sk5,sk5)
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f250,f1136]) ).
fof(f1168,plain,
( ~ ssItem(sk5)
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(resolution,[],[f1153,f62]) ).
fof(f1169,plain,
( $false
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1168,f207]) ).
fof(f1170,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1169]) ).
fof(f1179,plain,
( ~ ssItem(sk8)
| memberP(sk3,sk8)
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f255,f689]) ).
fof(f1180,plain,
( memberP(sk3,sk8)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f1179,f212]) ).
fof(f1181,plain,
( ~ ssItem(sk8)
| sk8 = skaf44(sk3)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f1180,f730]) ).
fof(f1182,plain,
( sk8 = skaf44(sk3)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f1181,f212]) ).
fof(f1183,plain,
( sk5 = sk8
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1182,f1116]) ).
fof(f1187,plain,
( ~ leq(sk5,sk5)
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f246,f1183]) ).
fof(f1200,plain,
( ~ ssItem(sk5)
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f1187,f62]) ).
fof(f1201,plain,
( $false
| ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f1200,f207]) ).
fof(f1202,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1201]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f242]) ).
cnf(s2,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f251]) ).
cnf(s3,plain,
( ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f256]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f261]) ).
cnf(s5,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f262]) ).
cnf(s6,plain,
( spl0_1
| spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f336]) ).
cnf(s7,plain,
spl0_8,
inference(sat_conversion,[],[f367]) ).
cnf(s10,plain,
( ~ spl0_7
| ~ spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f408]) ).
cnf(s11,plain,
spl0_10,
inference(sat_conversion,[],[f429]) ).
cnf(s19,plain,
~ spl0_11,
inference(sat_conversion,[],[f687]) ).
cnf(s25,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f1170]) ).
cnf(s28,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(sat_conversion,[],[f1202]) ).
cnf(s29,plain,
~ spl0_7,
inference(rat,[],[s10,s19,s11]) ).
cnf(s32,plain,
spl0_1,
inference(rat,[],[s6,s7,s29]) ).
cnf(s33,plain,
spl0_2,
inference(rat,[],[s1,s32]) ).
cnf(s35,plain,
spl0_5,
inference(rat,[],[s25,s3,s5,s33,s7,s11]) ).
cnf(s36,plain,
spl0_3,
inference(rat,[],[s28,s7,s33,s35]) ).
cnf(s37,plain,
spl0_6,
inference(rat,[],[s4,s36]) ).
cnf(s38,plain,
~ spl0_4,
inference(rat,[],[s2,s36]) ).
cnf(s40,plain,
$false,
inference(rat,[],[s25,s11,s7,s33,s37,s38]) ).
fof(f1203,plain,
$false,
inference(avatar_sat_refutation,[],[s40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC285-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n003.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 08:54:27 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 3.02/1.12 % (1443042)Input is clausal, will run a generic CNF schedule.
% 3.02/1.12 % (1443049)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=429375566:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.02/1.12 % (1443053)dis-21_1_sil=8000:lcm=predicate:random_seed=2881359674: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)
% 3.02/1.12 % (1443052)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=607954551:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.02/1.12 % (1443051)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2969207828:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.02/1.12 % (1443048)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2234739005:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.02/1.12 % (1443047)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=1349680428:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.02/1.12 % (1443050)lrs+10_1_sil=8000:sp=occurrence:random_seed=378459175:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.02/1.12 % (1443050)First to succeed.
% 3.02/1.12 % (1443050)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1443042"
% 3.02/1.12 % (1443053)Instruction limit reached!
% 3.02/1.12 % (1443053)------------------------------
% 3.02/1.12 % (1443053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.12 % (1443053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.12 % (1443053)CaDiCaL version: 2.1.3
% 3.02/1.12 % (1443053)Termination reason: Instruction limit
% 3.02/1.12 % (1443053)Termination phase: Saturation
% 3.02/1.12 % (1443053)Time elapsed: 0.061 s
% 3.02/1.12 % (1443053)Peak memory usage: 89 MB
% 3.02/1.12 % (1443053)Instructions burned: 118 (million)
% 3.02/1.12 % (1443051)Instruction limit reached!
% 3.02/1.12 % (1443051)------------------------------
% 3.02/1.12 % (1443051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.12 % (1443051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.12 % (1443051)CaDiCaL version: 2.1.3
% 3.02/1.12 % (1443051)Termination reason: Instruction limit
% 3.02/1.12 % (1443051)Termination phase: Saturation
% 3.02/1.12 % (1443051)Time elapsed: 0.073 s
% 3.02/1.12 % (1443051)Peak memory usage: 89 MB
% 3.02/1.12 % (1443051)Instructions burned: 114 (million)
% 3.02/1.12 % (1443052)Instruction limit reached!
% 3.02/1.12 % (1443052)------------------------------
% 3.02/1.12 % (1443052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.12 % (1443052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.12 % (1443052)CaDiCaL version: 2.1.3
% 3.02/1.12 % (1443052)Termination reason: Instruction limit
% 3.02/1.12 % (1443052)Termination phase: Saturation
% 3.02/1.12 % (1443052)Time elapsed: 0.121 s
% 3.02/1.12 % (1443052)Peak memory usage: 90 MB
% 3.02/1.12 % (1443052)Instructions burned: 180 (million)
% 3.02/1.12 % (1443061)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=721355794:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.02/1.12 % (1443062)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1883498240: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)
% 3.02/1.12 % (1443063)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1915342573:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.02/1.12 % (1443050)Refutation found. Thanks to Tanya!
% 3.02/1.12 % SZS status Unsatisfiable for theBenchmark
% 3.02/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 3.79/1.22 % (1443050)------------------------------
% 3.79/1.22 % (1443050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.22 % (1443050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.22 % (1443050)CaDiCaL version: 2.1.3
% 3.79/1.22 % (1443050)Termination reason: Refutation
% 3.79/1.22 % (1443050)Time elapsed: 0.024 s
% 3.79/1.22 % (1443050)Peak memory usage: 90 MB
% 3.79/1.22 % (1443050)Instructions burned: 34 (million)
% 3.79/1.22 % (1443050)------------------------------
% 3.79/1.22 % (1443050)------------------------------
% 3.79/1.22 % (1443042)Success in time 0.458 s
% 3.79/1.22 % Vampire exiting
%------------------------------------------------------------------------------