%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC284-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 01:05:23 PM UTC 2026
% Result : Unsatisfiable 7.22s 1.36s
% Output : Refutation 7.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 50
% Syntax : Number of formulae : 230 ( 32 unt; 12 def)
% Number of atoms : 856 ( 87 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 1196 ( 570 ~; 614 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 13 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 100 ( 0 sgn 100 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause12) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).
fof(f62,axiom,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause62) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause80) ).
fof(f84,axiom,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause84) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f100,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause99) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f112,axiom,
! [X0] :
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).
fof(f148,axiom,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause137) ).
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/Axioms/SWC001-0.ax',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/Axioms/SWC001-0.ax',clause141) ).
fof(f155,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).
fof(f162,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause150) ).
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/Axioms/SWC001-0.ax',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(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/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).
fof(f188,axiom,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| frontsegP(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause174) ).
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/Axioms/SWC001-0.ax',clause175) ).
fof(f190,axiom,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause176) ).
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,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
sk1 = app(app(sk6,cons(sk5,nil)),sk7),
inference(reorient_equations,[],[f209]) ).
fof(f211,negated_conjecture,
ssItem(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f212,negated_conjecture,
( memberP(sk6,sk8)
| memberP(sk7,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,negated_conjecture,
( ~ leq(sk8,sk5)
| memberP(sk7,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f215,negated_conjecture,
( ~ leq(sk8,sk5)
| ~ leq(sk5,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f216,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f217,negated_conjecture,
( ssItem(sk9)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f218,negated_conjecture,
( cons(sk9,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f219,plain,
( sk3 = cons(sk9,nil)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f218]) ).
fof(f223,plain,
sk3 = app(app(sk6,cons(sk5,nil)),sk7),
inference(definition_unfolding,[],[f210,f205]) ).
fof(f235,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f155]) ).
fof(f238,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(f239,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(f255,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f256,plain,
( neq(sk4,nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f257,plain,
( ~ neq(sk4,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f259,definition,
( spl0_2
<=> ssItem(sk9) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f261,plain,
( ssItem(sk9)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f262,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f217,f259,f255]) ).
fof(f264,definition,
( spl0_3
<=> memberP(sk7,sk8) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f265,plain,
( ~ memberP(sk7,sk8)
| spl0_3 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f266,plain,
( memberP(sk7,sk8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl0_4
<=> memberP(sk6,sk8) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f269,plain,
( ~ memberP(sk6,sk8)
| spl0_4 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f270,plain,
( memberP(sk6,sk8)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f271,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f212,f268,f264]) ).
fof(f273,definition,
( spl0_5
<=> leq(sk5,sk8) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f274,plain,
( leq(sk5,sk8)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f275,plain,
( ~ leq(sk5,sk8)
| spl0_5 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f278,definition,
( spl0_6
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f280,plain,
( nil != sk4
| spl0_6 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f282,definition,
( spl0_7
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f284,plain,
( nil = sk3
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f285,plain,
( ~ spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f216,f282,f278]) ).
fof(f321,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f202]) ).
fof(f353,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f202]) ).
fof(f510,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(resolution,[],[f102,f257]) ).
fof(f515,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f510,f203]) ).
fof(f516,plain,
( nil = sk4
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f515,f8]) ).
fof(f517,plain,
( $false
| spl0_1
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f516,f280]) ).
fof(f518,plain,
( spl0_1
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f517]) ).
fof(f608,definition,
( spl0_10
<=> nil = sk6 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f609,plain,
( nil != sk6
| spl0_10 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f610,plain,
( nil = sk6
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f649,plain,
( sk6 = cons(skaf83(sk6),skaf82(sk6))
| nil = sk6 ),
inference(resolution,[],[f112,f207]) ).
fof(f696,definition,
( spl0_12
<=> nil = sk7 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f697,plain,
( nil != sk7
| spl0_12 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f698,plain,
( nil = sk7
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f755,plain,
( memberP(nil,sk8)
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f266,f698]) ).
fof(f769,plain,
( ~ ssItem(sk8)
| ~ spl0_3
| ~ spl0_12 ),
inference(resolution,[],[f755,f71]) ).
fof(f770,plain,
( $false
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f769,f211]) ).
fof(f771,plain,
( ~ spl0_3
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f770]) ).
fof(f772,plain,
( ~ memberP(nil,sk8)
| spl0_3
| ~ spl0_12 ),
inference(forward_demodulation,[],[f265,f698]) ).
fof(f773,plain,
( memberP(nil,sk8)
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f270,f610]) ).
fof(f775,plain,
( $false
| spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f773,f772]) ).
fof(f776,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f775]) ).
fof(f801,plain,
! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) != X0 ),
inference(resolution,[],[f100,f206]) ).
fof(f837,plain,
nil != cons(sk5,nil),
inference(resolution,[],[f801,f8]) ).
fof(f1197,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f235,f85]) ).
fof(f1408,plain,
! [X0] :
( frontsegP(sk3,X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ frontsegP(app(sk6,cons(sk5,nil)),X0) ),
inference(superposition,[],[f148,f223]) ).
fof(f1417,plain,
! [X0] :
( frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ frontsegP(app(sk6,cons(sk5,nil)),X0) ),
inference(forward_subsumption_resolution,[],[f1408,f208]) ).
fof(f1450,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,f223]) ).
fof(f1456,plain,
! [X0] :
( memberP(sk3,X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(app(sk6,cons(sk5,nil)),X0) ),
inference(forward_subsumption_resolution,[],[f1450,f208]) ).
fof(f1475,plain,
! [X0] :
( memberP(sk3,X0)
| ~ ssList(sk7)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(superposition,[],[f152,f223]) ).
fof(f1481,plain,
! [X0] :
( memberP(sk3,X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(forward_subsumption_resolution,[],[f1475,f208]) ).
fof(f1700,plain,
! [X0] :
( sk3 != app(app(sk6,cons(sk5,nil)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(sk7)
| sk7 = X0 ),
inference(superposition,[],[f162,f223]) ).
fof(f1713,plain,
! [X0] :
( sk3 != app(app(sk6,cons(sk5,nil)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| sk7 = X0 ),
inference(forward_subsumption_resolution,[],[f1700,f208]) ).
fof(f2409,plain,
( segmentP(sk3,cons(sk5,nil))
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk3)
| ~ ssList(sk7) ),
inference(superposition,[],[f238,f223]) ).
fof(f2414,plain,
( segmentP(sk3,cons(sk5,nil))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk3)
| ~ ssList(sk7) ),
inference(forward_subsumption_resolution,[],[f2409,f207]) ).
fof(f2420,plain,
( segmentP(sk3,cons(sk5,nil))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk7) ),
inference(forward_subsumption_resolution,[],[f2414,f202]) ).
fof(f2426,plain,
( segmentP(sk3,cons(sk5,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(forward_subsumption_resolution,[],[f2420,f208]) ).
fof(f2430,plain,
( segmentP(nil,cons(sk5,nil))
| ~ ssList(cons(sk5,nil))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2426,f284]) ).
fof(f2664,definition,
( spl0_15
<=> ssList(app(sk6,cons(sk5,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f2665,plain,
( ssList(app(sk6,cons(sk5,nil)))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f2664]) ).
fof(f2666,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| spl0_15 ),
inference(avatar_component_clause,[],[f2664]) ).
fof(f2672,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| spl0_15 ),
inference(resolution,[],[f2666,f85]) ).
fof(f2673,plain,
( ~ ssList(cons(sk5,nil))
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f2672,f207]) ).
fof(f2713,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_15 ),
inference(resolution,[],[f2673,f86]) ).
fof(f2714,plain,
( ~ ssItem(sk5)
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f2713,f8]) ).
fof(f2715,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f2714,f206]) ).
fof(f2716,plain,
spl0_15,
inference(avatar_contradiction_clause,[],[f2715]) ).
fof(f2722,plain,
( ~ leq(sk8,sk5)
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f214,f265]) ).
fof(f2828,definition,
( spl0_17
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f2829,plain,
( ssList(cons(sk5,nil))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f2828]) ).
fof(f2830,plain,
( ~ ssList(cons(sk5,nil))
| spl0_17 ),
inference(avatar_component_clause,[],[f2828]) ).
fof(f2832,definition,
( spl0_18
<=> segmentP(nil,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f2834,plain,
( segmentP(nil,cons(sk5,nil))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f2832]) ).
fof(f2835,plain,
( ~ spl0_17
| spl0_18
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f2430,f282,f2832,f2828]) ).
fof(f2836,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_17 ),
inference(resolution,[],[f2830,f86]) ).
fof(f2837,plain,
( ~ ssItem(sk5)
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f2836,f8]) ).
fof(f2838,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f2837,f206]) ).
fof(f2839,plain,
spl0_17,
inference(avatar_contradiction_clause,[],[f2838]) ).
fof(f2871,plain,
( ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_18 ),
inference(resolution,[],[f2834,f80]) ).
fof(f2874,plain,
( nil = cons(sk5,nil)
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f2871,f2829]) ).
fof(f2876,plain,
( $false
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f2874,f837]) ).
fof(f2877,plain,
( ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f2876]) ).
fof(f2881,plain,
( ! [X0] :
( ~ frontsegP(app(sk6,cons(sk5,nil)),X0)
| ~ ssList(X0)
| frontsegP(sk3,X0) )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1417,f2665]) ).
fof(f2882,plain,
( ! [X0] :
( ~ memberP(app(sk6,cons(sk5,nil)),X0)
| ~ ssItem(X0)
| memberP(sk3,X0) )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1456,f2665]) ).
fof(f2883,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1481,f2665]) ).
fof(f2884,plain,
( ! [X0] :
( sk3 != app(app(sk6,cons(sk5,nil)),X0)
| ~ ssList(X0)
| sk7 = X0 )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1713,f2665]) ).
fof(f2915,plain,
( sk3 = cons(sk9,nil)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f219,f256]) ).
fof(f2932,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(nil)
| ~ ssItem(sk9)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk9 = X0 )
| ~ spl0_1 ),
inference(superposition,[],[f174,f2915]) ).
fof(f2937,plain,
( ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssItem(sk9)
| frontsegP(nil,X1) )
| ~ spl0_1 ),
inference(superposition,[],[f188,f2915]) ).
fof(f2939,plain,
( ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssItem(sk9)
| sk9 = X0 )
| ~ spl0_1 ),
inference(superposition,[],[f190,f2915]) ).
fof(f2976,plain,
( ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sk9)
| sk9 = X0 )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f2939,f8]) ).
fof(f2977,plain,
( ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sk9)
| frontsegP(nil,X1) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f2937,f8]) ).
fof(f2982,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(sk9)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk9 = X0 )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f2932,f8]) ).
fof(f3009,plain,
( ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0)
| sk9 = X0 )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f2976,f261]) ).
fof(f3010,plain,
( ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0)
| frontsegP(nil,X1) )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f2977,f261]) ).
fof(f3015,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk9 = X0 )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f2982,f261]) ).
fof(f3018,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| sk9 = X0 )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f3015,f71]) ).
fof(f3438,plain,
( sk6 = cons(skaf83(sk6),skaf82(sk6))
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f649,f609]) ).
fof(f4188,plain,
( ~ ssList(sk6)
| frontsegP(sk3,sk6)
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ spl0_15 ),
inference(resolution,[],[f2881,f1197]) ).
fof(f4196,plain,
( ~ ssList(sk6)
| frontsegP(sk3,sk6)
| ~ ssList(cons(sk5,nil))
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f4188]) ).
fof(f4200,plain,
( frontsegP(sk3,sk6)
| ~ ssList(cons(sk5,nil))
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f4196,f207]) ).
fof(f4203,plain,
( frontsegP(sk3,sk6)
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f4200,f2829]) ).
fof(f4211,plain,
( ~ ssItem(sk5)
| memberP(sk3,sk5)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_15 ),
inference(resolution,[],[f2882,f239]) ).
fof(f4212,plain,
( ~ ssItem(sk5)
| memberP(sk3,sk5)
| ~ ssList(sk6)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f4211]) ).
fof(f4215,plain,
( memberP(sk3,sk5)
| ~ ssList(sk6)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f4212,f206]) ).
fof(f4218,plain,
( memberP(sk3,sk5)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f4215,f207]) ).
fof(f4221,plain,
( memberP(sk3,sk5)
| ~ ssList(nil)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f4218,f2665]) ).
fof(f4222,plain,
( memberP(sk3,sk5)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f4221,f8]) ).
fof(f4234,plain,
( ~ ssItem(sk5)
| sk5 = sk9
| ~ spl0_1
| ~ spl0_2
| ~ spl0_15 ),
inference(resolution,[],[f4222,f3018]) ).
fof(f4237,plain,
( sk5 = sk9
| ~ spl0_1
| ~ spl0_2
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f4234,f206]) ).
fof(f4251,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_15 ),
inference(superposition,[],[f2915,f4237]) ).
fof(f4378,plain,
( ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| sk5 = X0
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_15 ),
inference(forward_demodulation,[],[f3009,f4237]) ).
fof(f4386,plain,
( ~ frontsegP(sk3,sk6)
| ~ ssList(skaf82(sk6))
| ~ ssItem(skaf83(sk6))
| frontsegP(nil,skaf82(sk6))
| ~ spl0_1
| ~ spl0_2
| spl0_10 ),
inference(superposition,[],[f3010,f3438]) ).
fof(f4396,plain,
( ~ ssList(skaf82(sk6))
| ~ ssItem(skaf83(sk6))
| frontsegP(nil,skaf82(sk6))
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f4386,f4203]) ).
fof(f4401,plain,
( ~ ssItem(skaf83(sk6))
| frontsegP(nil,skaf82(sk6))
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f4396,f13]) ).
fof(f4406,plain,
( frontsegP(nil,skaf82(sk6))
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f4401,f12]) ).
fof(f4410,plain,
( ~ ssList(skaf82(sk6))
| nil = skaf82(sk6)
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(resolution,[],[f4406,f84]) ).
fof(f4413,plain,
( nil = skaf82(sk6)
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f4410,f13]) ).
fof(f4603,plain,
( ~ frontsegP(sk3,sk6)
| sk5 = skaf83(sk6)
| ~ ssList(skaf82(sk6))
| ~ ssItem(skaf83(sk6))
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_15 ),
inference(superposition,[],[f4378,f3438]) ).
fof(f4613,plain,
( sk5 = skaf83(sk6)
| ~ ssList(skaf82(sk6))
| ~ ssItem(skaf83(sk6))
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f4603,f4203]) ).
fof(f4618,plain,
( sk5 = skaf83(sk6)
| ~ ssItem(skaf83(sk6))
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f4613,f13]) ).
fof(f4623,plain,
( sk5 = skaf83(sk6)
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f4618,f12]) ).
fof(f4627,plain,
( sk6 = cons(sk5,skaf82(sk6))
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f3438,f4623]) ).
fof(f4629,plain,
( sk6 = cons(sk5,nil)
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f4627,f4413]) ).
fof(f4630,plain,
( sk3 = sk6
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f4629,f4251]) ).
fof(f4652,plain,
( memberP(sk3,sk8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f270,f4630]) ).
fof(f4691,plain,
( ~ ssItem(sk8)
| sk8 = sk9
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(resolution,[],[f4652,f3018]) ).
fof(f4694,plain,
( sk8 = sk9
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f4691,f211]) ).
fof(f4752,plain,
( sk5 = sk8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f4694,f4237]) ).
fof(f4775,plain,
( ~ leq(sk8,sk8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_5
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f275,f4752]) ).
fof(f4820,plain,
( ~ leq(sk8,sk8)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(superposition,[],[f2722,f4752]) ).
fof(f4961,plain,
( ~ ssItem(sk8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_5
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(resolution,[],[f4775,f62]) ).
fof(f4968,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_5
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f4961,f211]) ).
fof(f4969,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_5
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f4968]) ).
fof(f4970,plain,
( ~ memberP(sk3,sk8)
| ~ spl0_1
| ~ spl0_2
| spl0_4
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f269,f4630]) ).
fof(f4971,plain,
( ! [X0] :
( sk3 != app(app(sk6,sk3),X0)
| ~ ssList(X0)
| sk7 = X0 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_15 ),
inference(forward_demodulation,[],[f2884,f4251]) ).
fof(f5015,plain,
( ~ ssItem(sk8)
| ~ memberP(sk7,sk8)
| ~ spl0_1
| ~ spl0_2
| spl0_4
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(resolution,[],[f2883,f4970]) ).
fof(f5020,plain,
( ~ memberP(sk7,sk8)
| ~ spl0_1
| ~ spl0_2
| spl0_4
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f5015,f211]) ).
fof(f5022,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f5020,f266]) ).
fof(f5023,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f5022]) ).
fof(f5414,plain,
( ! [X0] :
( sk3 != app(app(nil,sk3),X0)
| ~ ssList(X0)
| sk7 = X0 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f4971,f610]) ).
fof(f5415,plain,
( ! [X0] :
( sk3 != app(sk3,X0)
| ~ ssList(X0)
| sk7 = X0 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f5414,f353]) ).
fof(f5418,plain,
( sk3 != sk3
| ~ ssList(nil)
| nil = sk7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10
| ~ spl0_15 ),
inference(superposition,[],[f5415,f321]) ).
fof(f5419,plain,
( ~ ssList(nil)
| nil = sk7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f5418]) ).
fof(f5420,plain,
( nil = sk7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f5419,f8]) ).
fof(f5421,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10
| spl0_12
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f5420,f697]) ).
fof(f5422,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_10
| spl0_12
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f5421]) ).
fof(f5691,plain,
( ~ ssItem(sk8)
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(resolution,[],[f4820,f62]) ).
fof(f5698,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f5691,f211]) ).
fof(f5699,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f5698]) ).
fof(f5702,plain,
( ~ leq(sk8,sk5)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f215,f274]) ).
fof(f5703,plain,
( ~ leq(sk8,sk8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f5702,f4752]) ).
fof(f5707,plain,
( ~ ssItem(sk8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(resolution,[],[f5703,f62]) ).
fof(f5714,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f5707,f211]) ).
fof(f5715,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f5714]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f262]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f271]) ).
cnf(s4,plain,
( ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f285]) ).
cnf(s6,plain,
( spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f518]) ).
cnf(s12,plain,
( ~ spl0_3
| ~ spl0_12 ),
inference(sat_conversion,[],[f771]) ).
cnf(s13,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12 ),
inference(sat_conversion,[],[f776]) ).
cnf(s15,plain,
spl0_15,
inference(sat_conversion,[],[f2716]) ).
cnf(s17,plain,
( ~ spl0_7
| ~ spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f2835]) ).
cnf(s18,plain,
spl0_17,
inference(sat_conversion,[],[f2839]) ).
cnf(s19,plain,
( ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f2877]) ).
cnf(s20,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_5
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f4969]) ).
cnf(s21,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f5023]) ).
cnf(s22,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_10
| spl0_12
| ~ spl0_15 ),
inference(sat_conversion,[],[f5422]) ).
cnf(s24,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f5699]) ).
cnf(s25,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f5715]) ).
cnf(s26,plain,
~ spl0_18,
inference(rat,[],[s19,s18]) ).
cnf(s27,plain,
~ spl0_7,
inference(rat,[],[s17,s26,s18]) ).
cnf(s28,plain,
~ spl0_6,
inference(rat,[],[s4,s27]) ).
cnf(s29,plain,
spl0_1,
inference(rat,[],[s6,s28]) ).
cnf(s30,plain,
spl0_2,
inference(rat,[],[s1,s29]) ).
cnf(s31,plain,
( ~ spl0_4
| spl0_3 ),
inference(rat,[],[s13,s22,s24,s18,s15,s30,s29]) ).
cnf(s32,plain,
spl0_3,
inference(rat,[],[s31,s2]) ).
cnf(s33,plain,
~ spl0_12,
inference(rat,[],[s12,s32]) ).
cnf(s36,plain,
~ spl0_10,
inference(rat,[],[s22,s15,s30,s29,s33]) ).
cnf(s38,plain,
spl0_4,
inference(rat,[],[s21,s18,s15,s32,s30,s29,s36]) ).
cnf(s39,plain,
~ spl0_5,
inference(rat,[],[s25,s18,s15,s38,s30,s29,s36]) ).
cnf(s40,plain,
$false,
inference(rat,[],[s20,s18,s15,s39,s30,s29,s38,s36]) ).
fof(f5716,plain,
$false,
inference(avatar_sat_refutation,[],[s40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC284-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n003.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 08:54:12 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.22/1.36 % (1442592)Will run a generic schedule for satisfiability detection.
% 7.22/1.36 % (1442602)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1586338910:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.22/1.36 % (1442598)% WARNING: option uhcvi not known.
% 7.22/1.36 % (1442600)dis+10_1_sil=32000:sp=arity:random_seed=1725135428:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.22/1.36 % (1442597)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1172578244_2999 on theBenchmark for (2999ds/0Mi)
% 7.22/1.36 % (1442598)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4229312863:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.22/1.36 % (1442599)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4149529817:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.22/1.36 % (1442601)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3674404527:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.22/1.36 % (1442603)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1154880816:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.22/1.36 % TRYING [1]
% 7.22/1.36 % TRYING [2]
% 7.22/1.36 % TRYING [3]
% 7.22/1.36 % (1442602)Instruction limit reached!
% 7.22/1.36 % (1442602)------------------------------
% 7.22/1.36 % (1442602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/1.36 % (1442602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/1.36 % (1442602)CaDiCaL version: 2.1.3
% 7.22/1.36 % (1442602)Termination reason: Instruction limit
% 7.22/1.36 % (1442602)Termination phase: Saturation
% 7.22/1.36 % (1442602)Time elapsed: 0.035 s
% 7.22/1.36 % (1442602)Peak memory usage: 14 MB
% 7.22/1.36 % (1442602)Instructions burned: 132 (million)
% 7.22/1.36 % TRYING [4]
% 7.22/1.36 % (1442611)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3611263066:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.22/1.36 % TRYING [1]
% 7.22/1.36 % TRYING [2]
% 7.22/1.36 % TRYING [3]
% 7.22/1.36 % (1442600)Instruction limit reached!
% 7.22/1.36 % (1442600)------------------------------
% 7.22/1.36 % (1442600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/1.36 % (1442600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/1.36 % (1442600)CaDiCaL version: 2.1.3
% 7.22/1.36 % (1442600)Termination reason: Instruction limit
% 7.22/1.36 % (1442600)Termination phase: Saturation
% 7.22/1.36 % (1442600)Time elapsed: 0.060 s
% 7.22/1.36 % (1442600)Peak memory usage: 13 MB
% 7.22/1.36 % (1442600)Instructions burned: 103 (million)
% 7.22/1.36 % (1442601)Instruction limit reached!
% 7.22/1.36 % (1442601)------------------------------
% 7.22/1.36 % (1442601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/1.36 % (1442601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/1.36 % (1442601)CaDiCaL version: 2.1.3
% 7.22/1.36 % (1442601)Termination reason: Instruction limit
% 7.22/1.36 % (1442601)Termination phase: Saturation
% 7.22/1.36 % (1442601)Time elapsed: 0.059 s
% 7.22/1.36 % (1442601)Peak memory usage: 13 MB
% 7.22/1.36 % (1442601)Instructions burned: 117 (million)
% 7.22/1.36 % TRYING [4]
% 7.22/1.36 % (1442613)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2833437506:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.22/1.36 % (1442614)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3566855408:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 7.22/1.36 % TRYING [5]
% 7.22/1.36 % (1442603)Instruction limit reached!
% 7.22/1.36 % (1442603)------------------------------
% 7.22/1.36 % (1442603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/1.36 % (1442603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/1.36 % (1442603)CaDiCaL version: 2.1.3
% 7.22/1.36 % (1442603)Termination reason: Instruction limit
% 7.22/1.36 % (1442603)Termination phase: Saturation
% 7.22/1.36 % (1442603)Time elapsed: 0.096 s
% 7.22/1.36 % (1442603)Peak memory usage: 14 MB
% 7.22/1.36 % (1442603)Instructions burned: 159 (million)
% 7.22/1.36 % TRYING [5]
% 7.22/1.36 % (1442617)ott-21_1_sil=16000:fs=off:random_seed=2072473391:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.22/1.36 % (1442613)Instruction limit reached!
% 7.22/1.36 % (1442613)------------------------------
% 7.22/1.36 % (1442613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/1.36 % (1442613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/1.36 % (1442613)CaDiCaL version: 2.1.3
% 7.22/1.36 % (1442613)Termination reason: Instruction limit
% 7.22/1.36 % (1442613)Termination phase: Saturation
% 7.22/1.36 % (1442613)Time elapsed: 0.067 s
% 7.22/1.36 % (1442613)Peak memory usage: 13 MB
% 7.22/1.36 % (1442613)Instructions burned: 133 (million)
% 7.22/1.36 % (1442619)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2566157752:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.22/1.36 % TRYING [6]
% 7.22/1.36 % (1442611)Instruction limit reached!
% 7.22/1.36 % (1442611)------------------------------
% 7.22/1.36 % (1442611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/1.36 % (1442611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/1.36 % (1442611)CaDiCaL version: 2.1.3
% 7.22/1.36 % (1442611)Termination reason: Instruction limit
% 7.22/1.36 % (1442611)Termination phase: Finite model building constraint generation
% 7.22/1.36 % (1442611)Time elapsed: 0.150 s
% 7.22/1.36 % (1442611)Peak memory usage: 34 MB
% 7.22/1.36 % (1442611)Instructions burned: 715 (million)
% 7.22/1.36 % (1442621)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2674506937:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.22/1.36 % TRYING [1]
% 7.22/1.36 % (1442617)Instruction limit reached!
% 7.22/1.36 % (1442617)------------------------------
% 7.22/1.36 % (1442617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/1.36 % (1442617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/1.36 % (1442617)CaDiCaL version: 2.1.3
% 7.22/1.36 % (1442617)Termination reason: Instruction limit
% 7.22/1.36 % (1442617)Termination phase: Saturation
% 7.22/1.36 % (1442617)Time elapsed: 0.090 s
% 7.22/1.36 % (1442617)Peak memory usage: 13 MB
% 7.22/1.36 % (1442617)Instructions burned: 181 (million)
% 7.22/1.36 % TRYING [2]
% 7.22/1.36 % TRYING [3]
% 7.22/1.36 % (1442623)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3163812393:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 7.22/1.36 % TRYING [4]
% 7.22/1.36 % TRYING [6]
% 7.22/1.36 % TRYING [5]
% 7.22/1.36 % (1442621)Instruction limit reached!
% 7.22/1.36 % (1442621)------------------------------
% 7.22/1.36 % (1442621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/1.36 % (1442621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/1.36 % (1442621)CaDiCaL version: 2.1.3
% 7.22/1.36 % (1442621)Termination reason: Instruction limit
% 7.22/1.36 % (1442621)Termination phase: Finite model building SAT solving
% 7.22/1.36 % (1442621)Time elapsed: 0.178 s
% 7.22/1.36 % (1442621)Peak memory usage: 22 MB
% 7.22/1.36 % (1442621)Instructions burned: 873 (million)
% 7.22/1.36 % (1442625)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4247133701:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 7.22/1.36 % (1442614)Instruction limit reached!
% 7.22/1.36 % (1442614)------------------------------
% 7.22/1.36 % (1442614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/1.36 % (1442614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/1.36 % (1442614)CaDiCaL version: 2.1.3
% 7.22/1.36 % (1442614)Termination reason: Instruction limit
% 7.22/1.36 % (1442614)Termination phase: Saturation
% 7.22/1.36 % (1442614)Time elapsed: 0.370 s
% 7.22/1.36 % (1442614)Peak memory usage: 19 MB
% 7.22/1.36 % (1442614)Instructions burned: 684 (million)
% 7.22/1.36 % TRYING [14]
% 7.22/1.36 % (1442619)Instruction limit reached!
% 7.22/1.36 % (1442619)------------------------------
% 7.22/1.36 % (1442619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/1.36 % (1442619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/1.36 % (1442619)CaDiCaL version: 2.1.3
% 7.22/1.36 % (1442619)Termination reason: Instruction limit
% 7.22/1.36 % (1442619)Termination phase: Saturation
% 7.22/1.36 % (1442619)Time elapsed: 0.289 s
% 7.22/1.36 % (1442619)Peak memory usage: 14 MB
% 7.22/1.36 % (1442619)Instructions burned: 478 (million)
% 7.22/1.36 % (1442627)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=944394970:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 7.22/1.36 % (1442628)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2317319151:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 7.22/1.36 % (1442625)Instruction limit reached!
% 7.22/1.36 % (1442625)------------------------------
% 7.22/1.36 % (1442625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/1.36 % (1442625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/1.36 % (1442625)CaDiCaL version: 2.1.3
% 7.22/1.36 % (1442625)Termination reason: Instruction limit
% 7.22/1.36 % (1442625)Termination phase: Finite model building constraint generation
% 7.22/1.36 % (1442625)Time elapsed: 0.182 s
% 7.22/1.36 % (1442625)Peak memory usage: 73 MB
% 7.22/1.36 % (1442625)Instructions burned: 893 (million)
% 7.22/1.36 % (1442631)fmb+10_1_sil=64000:random_seed=191439236:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 7.22/1.36 % TRYING [1]
% 7.22/1.36 % TRYING [2]
% 7.22/1.36 % TRYING [3]
% 7.22/1.36 % TRYING [4]
% 7.22/1.36 % TRYING [5]
% 7.22/1.36 % TRYING [7]
% 7.22/1.36 % (1442627)Instruction limit reached!
% 7.22/1.36 % (1442627)------------------------------
% 7.22/1.36 % (1442627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/1.36 % (1442627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/1.36 % (1442627)CaDiCaL version: 2.1.3
% 7.22/1.36 % (1442627)Termination reason: Instruction limit
% 7.22/1.36 % (1442627)Termination phase: Saturation
% 7.22/1.36 % (1442627)Time elapsed: 0.349 s
% 7.22/1.36 % (1442627)Peak memory usage: 19 MB
% 7.22/1.36 % (1442627)Instructions burned: 693 (million)
% 7.22/1.36 % (1442633)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2669351893:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 7.22/1.36 % TRYING [20]
% 7.22/1.36 % (1442623)Instruction limit reached!
% 7.22/1.36 % (1442623)------------------------------
% 7.22/1.36 % (1442623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/1.36 % (1442623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/1.36 % (1442623)CaDiCaL version: 2.1.3
% 7.22/1.36 % (1442623)Termination reason: Instruction limit
% 7.22/1.36 % (1442623)Termination phase: Saturation
% 7.22/1.36 % (1442623)Time elapsed: 0.673 s
% 7.22/1.36 % (1442623)Peak memory usage: 28 MB
% 7.22/1.36 % (1442623)Instructions burned: 1180 (million)
% 7.22/1.36 % (1442635)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2138477699:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 7.22/1.36 % TRYING [8]
% 7.22/1.36 % TRYING [6]
% 7.22/1.36 % (1442628)Instruction limit reached!
% 7.22/1.36 % (1442628)------------------------------
% 7.22/1.36 % (1442628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/1.36 % (1442628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/1.36 % (1442628)CaDiCaL version: 2.1.3
% 7.22/1.36 % (1442628)Termination reason: Instruction limit
% 7.22/1.36 % (1442628)Termination phase: Saturation
% 7.22/1.36 % (1442628)Time elapsed: 0.475 s
% 7.22/1.36 % (1442628)Peak memory usage: 21 MB
% 7.22/1.36 % (1442628)Instructions burned: 880 (million)
% 7.22/1.36 % (1442637)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=802858617:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 7.22/1.36 % (1442637) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1442592-1442637"...
% 7.22/1.36 % (1442637)...printing done.
% 7.22/1.36 % (1442637)Refutation found. Thanks to Tanya!
% 7.22/1.36 % SZS status Unsatisfiable for theBenchmark
% 7.22/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 7.22/1.37 % (1442637)------------------------------
% 7.22/1.37 % (1442637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/1.37 % (1442637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/1.37 % (1442637)CaDiCaL version: 2.1.3
% 7.22/1.37 % (1442637)Termination reason: Refutation
% 7.22/1.37 % (1442637)Time elapsed: 0.116 s
% 7.22/1.37 % (1442637)Peak memory usage: 14 MB
% 7.22/1.37 % (1442637)Instructions burned: 206 (million)
% 7.22/1.37 % (1442592)Success in time 1.14 s
% 7.22/1.37 % Vampire exiting
%------------------------------------------------------------------------------