%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC297-1 : 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 : n026.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 01:05:26 PM UTC 2026
% Result : Unsatisfiable 9.11s 1.88s
% Output : Refutation 9.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 48
% Syntax : Number of formulae : 218 ( 31 unt; 11 def)
% Number of atoms : 756 ( 107 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 1026 ( 488 ~; 527 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 12 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn 111 !; 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(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(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
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(f138,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause129) ).
fof(f139,plain,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
inference(reorient_equations,[],[f138]) ).
fof(f144,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause133) ).
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(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(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(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(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(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(f283,plain,
( nil != sk3
| spl0_7 ),
inference(avatar_component_clause,[],[f282]) ).
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(f610,definition,
( spl0_10
<=> nil = sk6 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f611,plain,
( nil != sk6
| spl0_10 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f612,plain,
( nil = sk6
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f651,plain,
( sk6 = cons(skaf83(sk6),skaf82(sk6))
| nil = sk6 ),
inference(resolution,[],[f112,f207]) ).
fof(f698,definition,
( spl0_12
<=> nil = sk7 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f699,plain,
( nil != sk7
| spl0_12 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f700,plain,
( nil = sk7
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f757,plain,
( memberP(nil,sk8)
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f266,f700]) ).
fof(f771,plain,
( ~ ssItem(sk8)
| ~ spl0_3
| ~ spl0_12 ),
inference(resolution,[],[f757,f71]) ).
fof(f772,plain,
( $false
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f771,f211]) ).
fof(f773,plain,
( ~ spl0_3
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f772]) ).
fof(f775,plain,
( memberP(nil,sk8)
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f270,f612]) ).
fof(f803,plain,
! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) != X0 ),
inference(resolution,[],[f100,f206]) ).
fof(f839,plain,
nil != cons(sk5,nil),
inference(resolution,[],[f803,f8]) ).
fof(f1232,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f235,f85]) ).
fof(f1234,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,app(X0,X1))
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| app(X0,X1) = X0 ),
inference(resolution,[],[f1232,f139]) ).
fof(f1251,plain,
( frontsegP(sk3,app(sk6,cons(sk5,nil)))
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(sk7) ),
inference(superposition,[],[f1232,f223]) ).
fof(f1257,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,app(X0,X1))
| ~ ssList(app(X0,X1))
| app(X0,X1) = X0 ),
inference(duplicate_literal_removal,[],[f1234]) ).
fof(f1259,plain,
( frontsegP(sk3,app(sk6,cons(sk5,nil)))
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(forward_subsumption_resolution,[],[f1251,f208]) ).
fof(f1260,plain,
! [X0,X1] :
( ~ frontsegP(X0,app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f1257,f85]) ).
fof(f1443,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(f1452,plain,
! [X0] :
( frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ frontsegP(app(sk6,cons(sk5,nil)),X0) ),
inference(forward_subsumption_resolution,[],[f1443,f208]) ).
fof(f1485,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(f1491,plain,
! [X0] :
( memberP(sk3,X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssItem(X0)
| ~ memberP(app(sk6,cons(sk5,nil)),X0) ),
inference(forward_subsumption_resolution,[],[f1485,f208]) ).
fof(f1660,plain,
! [X0] :
( ~ ssList(X0)
| nil = sk3
| tl(app(sk3,X0)) = app(tl(sk3),X0) ),
inference(resolution,[],[f144,f202]) ).
fof(f1743,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(f1756,plain,
! [X0] :
( sk3 != app(app(sk6,cons(sk5,nil)),X0)
| ~ ssList(X0)
| ~ ssList(app(sk6,cons(sk5,nil)))
| sk7 = X0 ),
inference(forward_subsumption_resolution,[],[f1743,f208]) ).
fof(f2451,plain,
( segmentP(sk3,cons(sk5,nil))
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk3)
| ~ ssList(sk7) ),
inference(superposition,[],[f238,f223]) ).
fof(f2456,plain,
( segmentP(sk3,cons(sk5,nil))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk3)
| ~ ssList(sk7) ),
inference(forward_subsumption_resolution,[],[f2451,f207]) ).
fof(f2462,plain,
( segmentP(sk3,cons(sk5,nil))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk7) ),
inference(forward_subsumption_resolution,[],[f2456,f202]) ).
fof(f2468,plain,
( segmentP(sk3,cons(sk5,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(forward_subsumption_resolution,[],[f2462,f208]) ).
fof(f2472,plain,
( segmentP(nil,cons(sk5,nil))
| ~ ssList(cons(sk5,nil))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f2468,f284]) ).
fof(f2723,definition,
( spl0_18
<=> ssList(app(sk6,cons(sk5,nil))) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f2724,plain,
( ssList(app(sk6,cons(sk5,nil)))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f2723]) ).
fof(f2725,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| spl0_18 ),
inference(avatar_component_clause,[],[f2723]) ).
fof(f2731,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| spl0_18 ),
inference(resolution,[],[f2725,f85]) ).
fof(f2732,plain,
( ~ ssList(cons(sk5,nil))
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f2731,f207]) ).
fof(f2772,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_18 ),
inference(resolution,[],[f2732,f86]) ).
fof(f2773,plain,
( ~ ssItem(sk5)
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f2772,f8]) ).
fof(f2774,plain,
( $false
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f2773,f206]) ).
fof(f2775,plain,
spl0_18,
inference(avatar_contradiction_clause,[],[f2774]) ).
fof(f2898,definition,
( spl0_20
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f2899,plain,
( ssList(cons(sk5,nil))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f2898]) ).
fof(f2900,plain,
( ~ ssList(cons(sk5,nil))
| spl0_20 ),
inference(avatar_component_clause,[],[f2898]) ).
fof(f2902,definition,
( spl0_21
<=> segmentP(nil,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f2904,plain,
( segmentP(nil,cons(sk5,nil))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f2902]) ).
fof(f2905,plain,
( ~ spl0_20
| spl0_21
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f2472,f282,f2902,f2898]) ).
fof(f2906,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_20 ),
inference(resolution,[],[f2900,f86]) ).
fof(f2907,plain,
( ~ ssItem(sk5)
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f2906,f8]) ).
fof(f2908,plain,
( $false
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f2907,f206]) ).
fof(f2909,plain,
spl0_20,
inference(avatar_contradiction_clause,[],[f2908]) ).
fof(f2941,plain,
( ~ ssList(cons(sk5,nil))
| nil = cons(sk5,nil)
| ~ spl0_21 ),
inference(resolution,[],[f2904,f80]) ).
fof(f2944,plain,
( nil = cons(sk5,nil)
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f2941,f2899]) ).
fof(f2946,plain,
( $false
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f2944,f839]) ).
fof(f2947,plain,
( ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f2946]) ).
fof(f2949,plain,
( frontsegP(sk3,app(sk6,cons(sk5,nil)))
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1259,f2724]) ).
fof(f2951,plain,
( ! [X0] :
( ~ frontsegP(app(sk6,cons(sk5,nil)),X0)
| ~ ssList(X0)
| frontsegP(sk3,X0) )
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1452,f2724]) ).
fof(f2952,plain,
( ! [X0] :
( ~ memberP(app(sk6,cons(sk5,nil)),X0)
| ~ ssItem(X0)
| memberP(sk3,X0) )
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1491,f2724]) ).
fof(f2954,plain,
( ! [X0] :
( sk3 != app(app(sk6,cons(sk5,nil)),X0)
| ~ ssList(X0)
| sk7 = X0 )
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1756,f2724]) ).
fof(f2979,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sk9,X0)) = X0 )
| ~ spl0_2 ),
inference(resolution,[],[f261,f96]) ).
fof(f2985,plain,
( sk3 = cons(sk9,nil)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f219,f256]) ).
fof(f3002,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(nil)
| ~ ssItem(sk9)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk9 = X0 )
| ~ spl0_1 ),
inference(superposition,[],[f174,f2985]) ).
fof(f3007,plain,
( ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssItem(sk9)
| frontsegP(nil,X1) )
| ~ spl0_1 ),
inference(superposition,[],[f188,f2985]) ).
fof(f3009,plain,
( ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssItem(sk9)
| sk9 = X0 )
| ~ spl0_1 ),
inference(superposition,[],[f190,f2985]) ).
fof(f3046,plain,
( ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sk9)
| sk9 = X0 )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f3009,f8]) ).
fof(f3047,plain,
( ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sk9)
| frontsegP(nil,X1) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f3007,f8]) ).
fof(f3052,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(sk9)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk9 = X0 )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f3002,f8]) ).
fof(f3079,plain,
( ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0)
| sk9 = X0 )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f3046,f261]) ).
fof(f3080,plain,
( ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0)
| frontsegP(nil,X1) )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f3047,f261]) ).
fof(f3085,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk9 = X0 )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f3052,f261]) ).
fof(f3088,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| sk9 = X0 )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f3085,f71]) ).
fof(f3210,plain,
( nil = tl(cons(sk9,nil))
| ~ spl0_2 ),
inference(resolution,[],[f2979,f8]) ).
fof(f3249,plain,
( nil = tl(sk3)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f3210,f2985]) ).
fof(f3508,plain,
( sk6 = cons(skaf83(sk6),skaf82(sk6))
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f651,f611]) ).
fof(f4258,plain,
( ~ ssList(sk6)
| frontsegP(sk3,sk6)
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ spl0_18 ),
inference(resolution,[],[f2951,f1232]) ).
fof(f4266,plain,
( ~ ssList(sk6)
| frontsegP(sk3,sk6)
| ~ ssList(cons(sk5,nil))
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f4258]) ).
fof(f4270,plain,
( frontsegP(sk3,sk6)
| ~ ssList(cons(sk5,nil))
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f4266,f207]) ).
fof(f4273,plain,
( frontsegP(sk3,sk6)
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f4270,f2899]) ).
fof(f4281,plain,
( ~ ssItem(sk5)
| memberP(sk3,sk5)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_18 ),
inference(resolution,[],[f2952,f239]) ).
fof(f4282,plain,
( ~ ssItem(sk5)
| memberP(sk3,sk5)
| ~ ssList(sk6)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f4281]) ).
fof(f4285,plain,
( memberP(sk3,sk5)
| ~ ssList(sk6)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f4282,f206]) ).
fof(f4288,plain,
( memberP(sk3,sk5)
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(nil)
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f4285,f207]) ).
fof(f4291,plain,
( memberP(sk3,sk5)
| ~ ssList(nil)
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f4288,f2724]) ).
fof(f4292,plain,
( memberP(sk3,sk5)
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f4291,f8]) ).
fof(f4304,plain,
( ~ ssItem(sk5)
| sk5 = sk9
| ~ spl0_1
| ~ spl0_2
| ~ spl0_18 ),
inference(resolution,[],[f4292,f3088]) ).
fof(f4307,plain,
( sk5 = sk9
| ~ spl0_1
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f4304,f206]) ).
fof(f4321,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_18 ),
inference(superposition,[],[f2985,f4307]) ).
fof(f4447,plain,
( ! [X0,X1] :
( ~ frontsegP(sk3,cons(X0,X1))
| sk5 = X0
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[],[f3079,f4307]) ).
fof(f4455,plain,
( ~ frontsegP(sk3,sk6)
| ~ ssList(skaf82(sk6))
| ~ ssItem(skaf83(sk6))
| frontsegP(nil,skaf82(sk6))
| ~ spl0_1
| ~ spl0_2
| spl0_10 ),
inference(superposition,[],[f3080,f3508]) ).
fof(f4465,plain,
( ~ ssList(skaf82(sk6))
| ~ ssItem(skaf83(sk6))
| frontsegP(nil,skaf82(sk6))
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f4455,f4273]) ).
fof(f4470,plain,
( ~ ssItem(skaf83(sk6))
| frontsegP(nil,skaf82(sk6))
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f4465,f13]) ).
fof(f4475,plain,
( frontsegP(nil,skaf82(sk6))
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f4470,f12]) ).
fof(f4479,plain,
( ~ ssList(skaf82(sk6))
| nil = skaf82(sk6)
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_18
| ~ spl0_20 ),
inference(resolution,[],[f4475,f84]) ).
fof(f4482,plain,
( nil = skaf82(sk6)
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f4479,f13]) ).
fof(f4672,plain,
( ~ frontsegP(sk3,sk6)
| sk5 = skaf83(sk6)
| ~ ssList(skaf82(sk6))
| ~ ssItem(skaf83(sk6))
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_18 ),
inference(superposition,[],[f4447,f3508]) ).
fof(f4682,plain,
( sk5 = skaf83(sk6)
| ~ ssList(skaf82(sk6))
| ~ ssItem(skaf83(sk6))
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f4672,f4273]) ).
fof(f4687,plain,
( sk5 = skaf83(sk6)
| ~ ssItem(skaf83(sk6))
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f4682,f13]) ).
fof(f4692,plain,
( sk5 = skaf83(sk6)
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f4687,f12]) ).
fof(f4696,plain,
( sk6 = cons(sk5,skaf82(sk6))
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_18
| ~ spl0_20 ),
inference(superposition,[],[f3508,f4692]) ).
fof(f4698,plain,
( sk6 = cons(sk5,nil)
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f4696,f4482]) ).
fof(f4699,plain,
( sk3 = sk6
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f4698,f4321]) ).
fof(f4734,plain,
( frontsegP(sk3,app(sk3,cons(sk5,nil)))
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_18
| ~ spl0_20 ),
inference(superposition,[],[f2949,f4699]) ).
fof(f4751,plain,
( frontsegP(sk3,app(sk3,sk3))
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f4734,f4321]) ).
fof(f4757,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sk3,X0)) = app(tl(sk3),X0) )
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f1660,f283]) ).
fof(f4758,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = tl(app(sk3,X0)) )
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(forward_demodulation,[],[f4757,f3249]) ).
fof(f4799,plain,
( app(nil,sk3) = tl(app(sk3,sk3))
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(resolution,[],[f4758,f202]) ).
fof(f4806,plain,
( sk3 = tl(app(sk3,sk3))
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(forward_demodulation,[],[f4799,f353]) ).
fof(f4979,plain,
( ! [X0] :
( sk3 != app(app(sk6,sk3),X0)
| ~ ssList(X0)
| sk7 = X0 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_18 ),
inference(forward_demodulation,[],[f2954,f4321]) ).
fof(f4994,plain,
( ~ ssItem(sk8)
| ~ spl0_4
| ~ spl0_10 ),
inference(resolution,[],[f775,f71]) ).
fof(f4997,plain,
( $false
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f4994,f211]) ).
fof(f4998,plain,
( ~ spl0_4
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f4997]) ).
fof(f22411,plain,
( ~ ssList(sk3)
| ~ ssList(sk3)
| sk3 = app(sk3,sk3)
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_18
| ~ spl0_20 ),
inference(resolution,[],[f1260,f4751]) ).
fof(f22447,plain,
( ~ ssList(sk3)
| sk3 = app(sk3,sk3)
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_18
| ~ spl0_20 ),
inference(duplicate_literal_removal,[],[f22411]) ).
fof(f22452,plain,
( sk3 = app(sk3,sk3)
| ~ spl0_1
| ~ spl0_2
| spl0_10
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f22447,f202]) ).
fof(f22471,plain,
( sk3 = tl(sk3)
| ~ spl0_1
| ~ spl0_2
| spl0_7
| spl0_10
| ~ spl0_18
| ~ spl0_20 ),
inference(superposition,[],[f4806,f22452]) ).
fof(f22540,plain,
( nil = sk3
| ~ spl0_1
| ~ spl0_2
| spl0_7
| spl0_10
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f22471,f3249]) ).
fof(f22542,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_7
| spl0_10
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f22540,f283]) ).
fof(f22543,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_7
| spl0_10
| ~ spl0_18
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f22542]) ).
fof(f22782,plain,
( ! [X0] :
( sk3 != app(app(nil,sk3),X0)
| ~ ssList(X0)
| sk7 = X0 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f4979,f612]) ).
fof(f22783,plain,
( ! [X0] :
( sk3 != app(sk3,X0)
| ~ ssList(X0)
| sk7 = X0 )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f22782,f353]) ).
fof(f22785,plain,
( sk3 != sk3
| ~ ssList(nil)
| nil = sk7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10
| ~ spl0_18 ),
inference(superposition,[],[f22783,f321]) ).
fof(f22786,plain,
( ~ ssList(nil)
| nil = sk7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f22785]) ).
fof(f22787,plain,
( nil = sk7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f22786,f8]) ).
fof(f22788,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_10
| spl0_12
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f22787,f699]) ).
fof(f22789,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_10
| spl0_12
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f22788]) ).
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,[],[f773]) ).
cnf(s17,plain,
spl0_18,
inference(sat_conversion,[],[f2775]) ).
cnf(s19,plain,
( ~ spl0_7
| ~ spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f2905]) ).
cnf(s20,plain,
spl0_20,
inference(sat_conversion,[],[f2909]) ).
cnf(s21,plain,
( ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f2947]) ).
cnf(s24,plain,
( ~ spl0_4
| ~ spl0_10 ),
inference(sat_conversion,[],[f4998]) ).
cnf(s30,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_7
| spl0_10
| ~ spl0_18
| ~ spl0_20 ),
inference(sat_conversion,[],[f22543]) ).
cnf(s31,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_10
| spl0_12
| ~ spl0_18 ),
inference(sat_conversion,[],[f22789]) ).
cnf(s32,plain,
~ spl0_21,
inference(rat,[],[s21,s20]) ).
cnf(s33,plain,
~ spl0_7,
inference(rat,[],[s19,s32,s20]) ).
cnf(s34,plain,
~ spl0_6,
inference(rat,[],[s4,s33]) ).
cnf(s35,plain,
spl0_1,
inference(rat,[],[s6,s34]) ).
cnf(s36,plain,
spl0_2,
inference(rat,[],[s1,s35]) ).
cnf(s37,plain,
spl0_10,
inference(rat,[],[s30,s20,s17,s35,s33,s36]) ).
cnf(s38,plain,
~ spl0_4,
inference(rat,[],[s24,s37]) ).
cnf(s39,plain,
spl0_12,
inference(rat,[],[s31,s17,s36,s35,s37]) ).
cnf(s41,plain,
spl0_3,
inference(rat,[],[s2,s38]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s12,s39,s41]) ).
fof(f22790,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC297-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n026.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 08:58:42 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 9.11/1.88 % (3708311)Will run a generic schedule for satisfiability detection.
% 9.11/1.88 % (3708316)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3938063165_2999 on theBenchmark for (2999ds/0Mi)
% 9.11/1.88 % (3708317)% WARNING: option uhcvi not known.
% 9.11/1.88 % TRYING [1]
% 9.11/1.88 % (3708317)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3812150290:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 9.11/1.88 % (3708318)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2235423571:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 9.11/1.88 % (3708319)dis+10_1_sil=32000:sp=arity:random_seed=1999147312:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 9.11/1.88 % TRYING [2]
% 9.11/1.88 % (3708320)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3732711981:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 9.11/1.88 % (3708321)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=163385245:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 9.11/1.88 % (3708322)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1519339464:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 9.11/1.88 % TRYING [3]
% 9.11/1.88 % TRYING [4]
% 9.11/1.88 % TRYING [5]
% 9.11/1.88 % (3708320)Instruction limit reached!
% 9.11/1.88 % (3708320)------------------------------
% 9.11/1.88 % (3708320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.11/1.88 % (3708320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.88 % (3708320)CaDiCaL version: 2.1.3
% 9.11/1.88 % (3708320)Termination reason: Instruction limit
% 9.11/1.88 % (3708320)Termination phase: Saturation
% 9.11/1.88 % (3708320)Time elapsed: 0.060 s
% 9.11/1.88 % (3708320)Peak memory usage: 13 MB
% 9.11/1.88 % (3708320)Instructions burned: 117 (million)
% 9.11/1.88 % (3708319)Instruction limit reached!
% 9.11/1.88 % (3708319)------------------------------
% 9.11/1.88 % (3708319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.11/1.88 % (3708319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.88 % (3708319)CaDiCaL version: 2.1.3
% 9.11/1.88 % (3708319)Termination reason: Instruction limit
% 9.11/1.88 % (3708319)Termination phase: Saturation
% 9.11/1.88 % (3708319)Time elapsed: 0.060 s
% 9.11/1.88 % (3708319)Peak memory usage: 13 MB
% 9.11/1.88 % (3708319)Instructions burned: 105 (million)
% 9.11/1.88 % (3708321)Instruction limit reached!
% 9.11/1.88 % (3708321)------------------------------
% 9.11/1.88 % (3708321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.11/1.88 % (3708321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.88 % (3708321)CaDiCaL version: 2.1.3
% 9.11/1.88 % (3708321)Termination reason: Instruction limit
% 9.11/1.88 % (3708321)Termination phase: Saturation
% 9.11/1.88 % (3708321)Time elapsed: 0.065 s
% 9.11/1.88 % (3708321)Peak memory usage: 14 MB
% 9.11/1.88 % (3708321)Instructions burned: 131 (million)
% 9.11/1.88 % (3708330)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1537702367:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 9.11/1.88 % (3708331)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2834367675:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 9.11/1.88 % (3708332)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=489250883:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 9.11/1.88 % TRYING [1]
% 9.11/1.88 % TRYING [2]
% 9.11/1.88 % (3708322)Instruction limit reached!
% 9.11/1.88 % (3708322)------------------------------
% 9.11/1.88 % (3708322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.11/1.88 % (3708322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.88 % (3708322)CaDiCaL version: 2.1.3
% 9.11/1.88 % (3708322)Termination reason: Instruction limit
% 9.11/1.88 % (3708322)Termination phase: Saturation
% 9.11/1.88 % (3708322)Time elapsed: 0.094 s
% 9.11/1.88 % (3708322)Peak memory usage: 14 MB
% 9.11/1.88 % (3708322)Instructions burned: 161 (million)
% 9.11/1.88 % TRYING [3]
% 9.11/1.88 % (3708336)ott-21_1_sil=16000:fs=off:random_seed=2078214566:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 9.11/1.88 % TRYING [4]
% 9.11/1.88 % TRYING [6]
% 9.11/1.88 % (3708331)Instruction limit reached!
% 9.11/1.88 % (3708331)------------------------------
% 9.11/1.88 % (3708331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.11/1.88 % (3708331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.88 % (3708331)CaDiCaL version: 2.1.3
% 9.11/1.88 % (3708331)Termination reason: Instruction limit
% 9.11/1.88 % (3708331)Termination phase: Saturation
% 9.11/1.88 % (3708331)Time elapsed: 0.066 s
% 9.11/1.88 % (3708331)Peak memory usage: 13 MB
% 9.11/1.88 % (3708331)Instructions burned: 131 (million)
% 9.11/1.88 % (3708338)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=85346209:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 9.11/1.88 % TRYING [5]
% 9.11/1.88 % (3708336)Instruction limit reached!
% 9.11/1.88 % (3708336)------------------------------
% 9.11/1.88 % (3708336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.11/1.88 % (3708336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.88 % (3708336)CaDiCaL version: 2.1.3
% 9.11/1.88 % (3708336)Termination reason: Instruction limit
% 9.11/1.88 % (3708336)Termination phase: Saturation
% 9.11/1.88 % (3708336)Time elapsed: 0.091 s
% 9.11/1.88 % (3708336)Peak memory usage: 13 MB
% 9.11/1.88 % (3708336)Instructions burned: 181 (million)
% 9.11/1.88 % (3708340)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2897013473:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 9.11/1.88 % TRYING [1]
% 9.11/1.88 % TRYING [2]
% 9.11/1.88 % TRYING [3]
% 9.11/1.88 % TRYING [4]
% 9.11/1.88 % TRYING [6]
% 9.11/1.88 % (3708330)Instruction limit reached!
% 9.11/1.88 % (3708330)------------------------------
% 9.11/1.88 % (3708330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.11/1.88 % (3708330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.88 % (3708330)CaDiCaL version: 2.1.3
% 9.11/1.88 % (3708330)Termination reason: Instruction limit
% 9.11/1.88 % (3708330)Termination phase: Finite model building constraint generation
% 9.11/1.88 % (3708330)Time elapsed: 0.280 s
% 9.11/1.88 % (3708330)Peak memory usage: 34 MB
% 9.11/1.88 % (3708330)Instructions burned: 716 (million)
% 9.11/1.88 % (3708342)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4108874618:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 9.11/1.88 % TRYING [5]
% 9.11/1.88 % TRYING [7]
% 9.11/1.88 % (3708332)Instruction limit reached!
% 9.11/1.88 % (3708332)------------------------------
% 9.11/1.88 % (3708332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.11/1.88 % (3708332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.88 % (3708332)CaDiCaL version: 2.1.3
% 9.11/1.88 % (3708332)Termination reason: Instruction limit
% 9.11/1.88 % (3708332)Termination phase: Saturation
% 9.11/1.88 % (3708332)Time elapsed: 0.376 s
% 9.11/1.88 % (3708332)Peak memory usage: 20 MB
% 9.11/1.88 % (3708332)Instructions burned: 685 (million)
% 9.11/1.88 % (3708338)Instruction limit reached!
% 9.11/1.88 % (3708338)------------------------------
% 9.11/1.88 % (3708338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.11/1.88 % (3708338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.88 % (3708338)CaDiCaL version: 2.1.3
% 9.11/1.88 % (3708338)Termination reason: Instruction limit
% 9.11/1.88 % (3708338)Termination phase: Saturation
% 9.11/1.88 % (3708338)Time elapsed: 0.309 s
% 9.11/1.88 % (3708338)Peak memory usage: 14 MB
% 9.11/1.88 % (3708338)Instructions burned: 477 (million)
% 9.11/1.88 % (3708344)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1610511684:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 9.11/1.88 % (3708345)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=2202967804:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 9.11/1.88 % (3708340)Instruction limit reached!
% 9.11/1.88 % (3708340)------------------------------
% 9.11/1.88 % (3708340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.11/1.88 % (3708340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.88 % (3708340)CaDiCaL version: 2.1.3
% 9.11/1.88 % (3708340)Termination reason: Instruction limit
% 9.11/1.88 % (3708340)Termination phase: Finite model building SAT solving
% 9.11/1.88 % (3708340)Time elapsed: 0.343 s
% 9.11/1.88 % (3708340)Peak memory usage: 22 MB
% 9.11/1.88 % (3708340)Instructions burned: 866 (million)
% 9.11/1.88 % TRYING [14]
% 9.11/1.88 % (3708348)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=296586361:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 9.11/1.88 % (3708344)Instruction limit reached!
% 9.11/1.88 % (3708344)------------------------------
% 9.11/1.88 % (3708344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.11/1.88 % (3708344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.88 % (3708344)CaDiCaL version: 2.1.3
% 9.11/1.88 % (3708344)Termination reason: Instruction limit
% 9.11/1.88 % (3708344)Termination phase: Finite model building constraint generation
% 9.11/1.88 % (3708344)Time elapsed: 0.323 s
% 9.11/1.88 % (3708344)Peak memory usage: 72 MB
% 9.11/1.88 % (3708344)Instructions burned: 889 (million)
% 9.11/1.88 % (3708345)Instruction limit reached!
% 9.11/1.88 % (3708345)------------------------------
% 9.11/1.88 % (3708345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.11/1.88 % (3708345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.88 % (3708345)CaDiCaL version: 2.1.3
% 9.11/1.88 % (3708345)Termination reason: Instruction limit
% 9.11/1.88 % (3708345)Termination phase: Saturation
% 9.11/1.88 % (3708345)Time elapsed: 0.327 s
% 9.11/1.88 % (3708345)Peak memory usage: 18 MB
% 9.11/1.88 % (3708345)Instructions burned: 692 (million)
% 9.11/1.88 % (3708350)fmb+10_1_sil=64000:random_seed=3731306297:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 9.11/1.88 % (3708351)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=272132961:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 9.11/1.88 % TRYING [1]
% 9.11/1.88 % TRYING [2]
% 9.11/1.88 % TRYING [20]
% 9.11/1.88 % TRYING [3]
% 9.11/1.88 % TRYING [4]
% 9.11/1.88 % TRYING [8]
% 9.11/1.88 % (3708342)Instruction limit reached!
% 9.11/1.88 % (3708342)------------------------------
% 9.11/1.88 % (3708342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.11/1.88 % (3708342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.88 % (3708342)CaDiCaL version: 2.1.3
% 9.11/1.88 % (3708342)Termination reason: Instruction limit
% 9.11/1.88 % (3708342)Termination phase: Saturation
% 9.11/1.88 % (3708342)Time elapsed: 0.675 s
% 9.11/1.88 % (3708342)Peak memory usage: 27 MB
% 9.11/1.88 % (3708342)Instructions burned: 1181 (million)
% 9.11/1.88 % (3708348)Instruction limit reached!
% 9.11/1.88 % (3708348)------------------------------
% 9.11/1.88 % (3708348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.11/1.88 % (3708348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.88 % (3708348)CaDiCaL version: 2.1.3
% 9.11/1.88 % (3708348)Termination reason: Instruction limit
% 9.11/1.88 % (3708348)Termination phase: Saturation
% 9.11/1.88 % (3708348)Time elapsed: 0.473 s
% 9.11/1.88 % (3708348)Peak memory usage: 20 MB
% 9.11/1.88 % (3708348)Instructions burned: 881 (million)
% 9.11/1.88 % TRYING [5]
% 9.11/1.88 % (3708354)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1044907265:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 9.11/1.88 % (3708355)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2554019192:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 9.11/1.88 % TRYING [8]
% 9.11/1.88 % (3708354)Instruction limit reached!
% 9.11/1.88 % (3708354)------------------------------
% 9.11/1.88 % (3708354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.11/1.88 % (3708354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.88 % (3708354)CaDiCaL version: 2.1.3
% 9.11/1.88 % (3708354)Termination reason: Instruction limit
% 9.11/1.88 % (3708354)Termination phase: Finite model building constraint generation
% 9.11/1.88 % (3708354)Time elapsed: 0.332 s
% 9.11/1.88 % (3708354)Peak memory usage: 79 MB
% 9.11/1.88 % (3708354)Instructions burned: 922 (million)
% 9.11/1.88 % (3708358)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4246958036:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 9.11/1.88 % TRYING [6]
% 9.11/1.88 % (3708355) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3708311-3708355"...
% 9.11/1.88 % (3708355)...printing done.
% 9.11/1.88 % (3708355)Refutation found. Thanks to Tanya!
% 9.11/1.88 % SZS status Unsatisfiable for theBenchmark
% 9.11/1.88 % SZS output start Proof for theBenchmark
% See solution above
% 9.11/1.88 % (3708355)------------------------------
% 9.11/1.88 % (3708355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.11/1.88 % (3708355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/1.88 % (3708355)CaDiCaL version: 2.1.3
% 9.11/1.88 % (3708355)Termination reason: Refutation
% 9.11/1.88 % (3708355)Time elapsed: 0.486 s
% 9.11/1.88 % (3708355)Peak memory usage: 20 MB
% 9.11/1.88 % (3708355)Instructions burned: 938 (million)
% 9.11/1.88 % (3708311)Success in time 1.65 s
% 9.11/1.88 % Vampire exiting
%------------------------------------------------------------------------------