%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC172+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 : n013.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 01:04:57 PM UTC 2026
% Result : Theorem 24.08s 3.88s
% Output : Refutation 24.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 37
% Syntax : Number of formulae : 315 ( 33 unt; 15 def)
% Number of atoms : 1218 ( 151 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 1580 ( 677 ~; 773 |; 43 &)
% ( 33 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 16 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 232 ( 0 sgn 205 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax1) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax20) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax36) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(f41,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( frontsegP(X0,X1)
& frontsegP(X1,X0) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax41) ).
fof(f43,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X0,X1)
=> frontsegP(app(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax43) ).
fof(f44,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( X0 = X1
& frontsegP(X2,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax44) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax46) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0 ) )
| neq(X4,X5) ) )
| ( ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X2
| ~ memberP(X3,X8)
| ? [X9] :
( ssItem(X9)
& X8 != X9
& memberP(X3,X9)
& leq(X9,X8) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0 ) )
| neq(X4,X5) ) )
| ( ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X2
| ~ memberP(X3,X8)
| ? [X9] :
( ssItem(X9)
& X8 != X9
& memberP(X3,X9)
& leq(X9,X8) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f123,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f124,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| ~ ssList(X0) ),
inference(flattening,[],[f123]) ).
fof(f129,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f134,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f148,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X0,X1)
| ~ frontsegP(X1,X0)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X0,X1)
| ~ frontsegP(X1,X0)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f151]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( X0 = X1
& frontsegP(X2,X3) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f158,plain,
! [X0] :
( ( frontsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f176,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ssItem(X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& ssList(X7) )
& ssList(X6) )
& ~ neq(X4,X5) )
& ssItem(X4) )
& ( ? [X8] :
( ssItem(X8)
& cons(X8,nil) = X2
& memberP(X3,X8)
& ! [X9] :
( ~ ssItem(X9)
| X8 = X9
| ~ memberP(X3,X9)
| ~ leq(X9,X8) ) )
| ( nil = X3
& nil = X2 ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssItem(X1)
| X0 = X1
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f227,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| memberP(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f236,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X2) != X0
| ~ ssList(X2)
| frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f240,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f304,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f305,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f306,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) != X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f309,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK44(X0),sK43(X0)) = X0
| nil = X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f310,plain,
! [X0] :
( ssItem(sK44(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f311,plain,
! [X0] :
( ssList(sK43(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f315,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f316,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f317,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f319,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f331,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X1,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f332,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(X2,X0)
| X0 = X1
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f335,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f338,plain,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f152]) ).
fof(f340,plain,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f341,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X2),cons(X1,X3))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| frontsegP(X2,X3)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f342,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X2),cons(X1,X3))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| X0 = X1
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f346,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f360,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f391,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f410,plain,
ssList(sK55),
inference(cnf_transformation,[],[f221]) ).
fof(f411,plain,
sK47 = app(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)),sK55),
inference(cnf_transformation,[],[f221]) ).
fof(f412,plain,
ssList(sK54),
inference(cnf_transformation,[],[f221]) ).
fof(f415,plain,
~ neq(sK51,sK53),
inference(cnf_transformation,[],[f221]) ).
fof(f416,plain,
ssItem(sK53),
inference(cnf_transformation,[],[f221]) ).
fof(f418,plain,
( nil = sK50
| sK49 = cons(sK52,nil) ),
inference(cnf_transformation,[],[f221]) ).
fof(f420,plain,
( nil = sK49
| memberP(sK50,sK52) ),
inference(cnf_transformation,[],[f221]) ).
fof(f422,plain,
( nil = sK49
| ssItem(sK52) ),
inference(cnf_transformation,[],[f221]) ).
fof(f423,plain,
ssItem(sK51),
inference(cnf_transformation,[],[f221]) ).
fof(f424,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f221]) ).
fof(f427,plain,
ssList(sK49),
inference(cnf_transformation,[],[f221]) ).
fof(f432,plain,
sK49 = app(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)),sK55),
inference(definition_unfolding,[],[f411,f424]) ).
fof(f434,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f227]) ).
fof(f436,plain,
! [X2,X1] :
( ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X1,X2),X1) ),
inference(equality_resolution,[],[f236]) ).
fof(f438,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f240]) ).
fof(f466,definition,
( spl56_1
<=> ssItem(sK52) ),
introduced(definition,[new_symbols(definition,[spl56_1])],[avatar_definition]) ).
fof(f468,plain,
( ssItem(sK52)
| ~ spl56_1 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f470,definition,
( spl56_2
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl56_2])],[avatar_definition]) ).
fof(f471,plain,
( nil != sK50
| spl56_2 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f472,plain,
( nil = sK50
| ~ spl56_2 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f476,definition,
( spl56_3
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl56_3])],[avatar_definition]) ).
fof(f478,plain,
( nil = sK49
| ~ spl56_3 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f479,plain,
( spl56_1
| spl56_3 ),
inference(avatar_split_clause,[],[f422,f476,f466]) ).
fof(f480,plain,
( memberP(nil,sK52)
| nil = sK49
| ~ spl56_2 ),
inference(forward_demodulation,[],[f420,f472]) ).
fof(f482,definition,
( spl56_4
<=> memberP(nil,sK52) ),
introduced(definition,[new_symbols(definition,[spl56_4])],[avatar_definition]) ).
fof(f484,plain,
( memberP(nil,sK52)
| ~ spl56_4 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f485,plain,
( spl56_3
| spl56_4
| ~ spl56_2 ),
inference(avatar_split_clause,[],[f480,f470,f482,f476]) ).
fof(f486,plain,
( ssList(nil)
| ~ spl56_3 ),
inference(superposition,[],[f427,f478]) ).
fof(f487,plain,
( nil = app(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)),sK55)
| ~ spl56_3 ),
inference(forward_demodulation,[],[f432,f478]) ).
fof(f509,plain,
sK49 = app(nil,sK49),
inference(resolution,[],[f319,f427]) ).
fof(f616,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK51,X0) != X0 ),
inference(resolution,[],[f306,f423]) ).
fof(f617,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sK52,X0) != X0 )
| ~ spl56_1 ),
inference(resolution,[],[f306,f468]) ).
fof(f645,plain,
sK49 != cons(sK51,sK49),
inference(resolution,[],[f616,f427]) ).
fof(f650,plain,
( nil != cons(sK51,nil)
| ~ spl56_3 ),
inference(forward_demodulation,[],[f645,f478]) ).
fof(f651,plain,
( ~ ssItem(sK53)
| sK51 = sK53
| ~ ssItem(sK51) ),
inference(resolution,[],[f222,f415]) ).
fof(f656,plain,
( sK51 = sK53
| ~ ssItem(sK51) ),
inference(forward_subsumption_resolution,[],[f651,f416]) ).
fof(f657,plain,
sK51 = sK53,
inference(forward_subsumption_resolution,[],[f656,f423]) ).
fof(f762,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| tl(cons(sK44(X0),X1)) = X1
| nil = X0 ),
inference(resolution,[],[f316,f310]) ).
fof(f798,plain,
( sK49 != cons(sK52,sK49)
| ~ spl56_1 ),
inference(resolution,[],[f617,f427]) ).
fof(f1047,plain,
( sK54 = cons(sK44(sK54),sK43(sK54))
| nil = sK54 ),
inference(resolution,[],[f309,f412]) ).
fof(f1226,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK51,X0) = app(cons(sK51,nil),X0) ),
inference(resolution,[],[f391,f423]) ).
fof(f1293,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f436,f317]) ).
fof(f1296,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(app(X1,X0))
| ~ ssList(X1)
| app(X1,X0) = X1 ),
inference(resolution,[],[f1293,f338]) ).
fof(f1304,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(app(X1,X0))
| app(X1,X0) = X1 ),
inference(duplicate_literal_removal,[],[f1296]) ).
fof(f1307,plain,
! [X0,X1] :
( ~ frontsegP(X1,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,X0) = X1 ),
inference(forward_subsumption_resolution,[],[f1304,f317]) ).
fof(f1340,definition,
( spl56_6
<=> nil = sK54 ),
introduced(definition,[new_symbols(definition,[spl56_6])],[avatar_definition]) ).
fof(f1341,plain,
( nil != sK54
| spl56_6 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1342,plain,
( nil = sK54
| ~ spl56_6 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f2444,plain,
( segmentP(nil,cons(sK53,nil))
| ~ ssList(cons(sK53,nil))
| ~ ssList(sK55)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(nil)
| ~ spl56_3 ),
inference(superposition,[],[f438,f487]) ).
fof(f2449,plain,
( segmentP(nil,cons(sK53,nil))
| ~ ssList(cons(sK53,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(nil)
| ~ spl56_3 ),
inference(forward_subsumption_resolution,[],[f2444,f410]) ).
fof(f2453,plain,
( segmentP(nil,cons(sK53,nil))
| ~ ssList(cons(sK53,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_3 ),
inference(forward_subsumption_resolution,[],[f2449,f486]) ).
fof(f2457,plain,
( segmentP(nil,cons(sK51,nil))
| ~ ssList(cons(sK53,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_3 ),
inference(forward_demodulation,[],[f2453,f657]) ).
fof(f2460,plain,
( ~ ssList(cons(sK51,nil))
| segmentP(nil,cons(sK51,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_3 ),
inference(forward_demodulation,[],[f2457,f657]) ).
fof(f2612,plain,
cons(sK51,sK49) = app(cons(sK51,nil),sK49),
inference(resolution,[],[f1226,f427]) ).
fof(f3374,definition,
( spl56_15
<=> segmentP(nil,cons(sK51,nil)) ),
introduced(definition,[new_symbols(definition,[spl56_15])],[avatar_definition]) ).
fof(f3375,plain,
( ~ segmentP(nil,cons(sK51,nil))
| spl56_15 ),
inference(avatar_component_clause,[],[f3374]) ).
fof(f3376,plain,
( segmentP(nil,cons(sK51,nil))
| ~ spl56_15 ),
inference(avatar_component_clause,[],[f3374]) ).
fof(f3378,definition,
( spl56_16
<=> ssList(cons(sK51,nil)) ),
introduced(definition,[new_symbols(definition,[spl56_16])],[avatar_definition]) ).
fof(f3379,plain,
( ssList(cons(sK51,nil))
| ~ spl56_16 ),
inference(avatar_component_clause,[],[f3378]) ).
fof(f3380,plain,
( ~ ssList(cons(sK51,nil))
| spl56_16 ),
inference(avatar_component_clause,[],[f3378]) ).
fof(f3386,plain,
( ~ ssItem(sK51)
| ~ ssList(nil)
| spl56_16 ),
inference(resolution,[],[f3380,f304]) ).
fof(f3387,plain,
( ~ ssList(nil)
| spl56_16 ),
inference(forward_subsumption_resolution,[],[f3386,f423]) ).
fof(f3461,plain,
( nil = cons(sK51,nil)
| ~ ssList(cons(sK51,nil))
| ~ spl56_15 ),
inference(resolution,[],[f3376,f360]) ).
fof(f3464,plain,
( ~ ssList(cons(sK51,nil))
| ~ spl56_3
| ~ spl56_15 ),
inference(forward_subsumption_resolution,[],[f3461,f650]) ).
fof(f3466,plain,
( $false
| ~ spl56_3
| ~ spl56_15
| ~ spl56_16 ),
inference(forward_subsumption_resolution,[],[f3464,f3379]) ).
fof(f3467,plain,
( ~ spl56_3
| ~ spl56_15
| ~ spl56_16 ),
inference(avatar_contradiction_clause,[],[f3466]) ).
fof(f3485,plain,
( segmentP(nil,cons(sK51,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_3
| ~ spl56_16 ),
inference(forward_subsumption_resolution,[],[f2460,f3379]) ).
fof(f3617,plain,
( ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_3
| spl56_15
| ~ spl56_16 ),
inference(forward_subsumption_resolution,[],[f3485,f3375]) ).
fof(f3618,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(sK54)
| ~ spl56_3
| spl56_15
| ~ spl56_16 ),
inference(resolution,[],[f3617,f317]) ).
fof(f3619,plain,
( ~ ssList(sK54)
| ~ spl56_3
| spl56_15
| ~ spl56_16 ),
inference(forward_subsumption_resolution,[],[f3618,f3379]) ).
fof(f3620,plain,
( $false
| ~ spl56_3
| spl56_15
| ~ spl56_16 ),
inference(forward_subsumption_resolution,[],[f3619,f412]) ).
fof(f3621,plain,
( ~ spl56_3
| spl56_15
| ~ spl56_16 ),
inference(avatar_contradiction_clause,[],[f3620]) ).
fof(f3672,plain,
( ~ ssItem(sK52)
| ~ spl56_4 ),
inference(resolution,[],[f484,f335]) ).
fof(f3675,plain,
( $false
| ~ spl56_1
| ~ spl56_4 ),
inference(forward_subsumption_resolution,[],[f3672,f468]) ).
fof(f3676,plain,
( ~ spl56_1
| ~ spl56_4 ),
inference(avatar_contradiction_clause,[],[f3675]) ).
fof(f3773,plain,
( sK49 = cons(sK52,nil)
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f418,f471]) ).
fof(f3788,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssItem(sK52)
| ~ ssList(nil)
| memberP(nil,X0)
| sK52 = X0
| ~ ssItem(X0) )
| spl56_2 ),
inference(superposition,[],[f332,f3773]) ).
fof(f3791,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| frontsegP(nil,X1)
| ~ ssItem(sK52) )
| spl56_2 ),
inference(superposition,[],[f341,f3773]) ).
fof(f3793,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| sK52 = X0
| ~ ssItem(sK52) )
| spl56_2 ),
inference(superposition,[],[f342,f3773]) ).
fof(f3831,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssList(nil)
| memberP(nil,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f3788,f468]) ).
fof(f4208,definition,
( spl56_18
<=> ssList(app(sK54,cons(sK51,nil))) ),
introduced(definition,[new_symbols(definition,[spl56_18])],[avatar_definition]) ).
fof(f4209,plain,
( ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_18 ),
inference(avatar_component_clause,[],[f4208]) ).
fof(f4210,plain,
( ~ ssList(app(sK54,cons(sK51,nil)))
| spl56_18 ),
inference(avatar_component_clause,[],[f4208]) ).
fof(f4216,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(sK54)
| spl56_18 ),
inference(resolution,[],[f4210,f317]) ).
fof(f4217,plain,
( ~ ssList(sK54)
| ~ spl56_16
| spl56_18 ),
inference(forward_subsumption_resolution,[],[f4216,f3379]) ).
fof(f4218,plain,
( $false
| ~ spl56_16
| spl56_18 ),
inference(forward_subsumption_resolution,[],[f4217,f412]) ).
fof(f4219,plain,
( ~ spl56_16
| spl56_18 ),
inference(avatar_contradiction_clause,[],[f4218]) ).
fof(f4757,definition,
( spl56_20
<=> ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil))) ),
introduced(definition,[new_symbols(definition,[spl56_20])],[avatar_definition]) ).
fof(f4758,plain,
( ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl56_20 ),
inference(avatar_component_clause,[],[f4757]) ).
fof(f4759,plain,
( ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| spl56_20 ),
inference(avatar_component_clause,[],[f4757]) ).
fof(f4766,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| spl56_20 ),
inference(resolution,[],[f4759,f317]) ).
fof(f4767,plain,
( ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_16
| spl56_20 ),
inference(forward_subsumption_resolution,[],[f4766,f3379]) ).
fof(f4768,plain,
( $false
| ~ spl56_16
| ~ spl56_18
| spl56_20 ),
inference(forward_subsumption_resolution,[],[f4767,f4209]) ).
fof(f4769,plain,
( ~ spl56_16
| ~ spl56_18
| spl56_20 ),
inference(avatar_contradiction_clause,[],[f4768]) ).
fof(f12397,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(sK44(sK54),X0)) = X0
| nil = sK54 ),
inference(resolution,[],[f762,f412]) ).
fof(f13591,plain,
sK49 = app(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)),sK55),
inference(forward_demodulation,[],[f432,f657]) ).
fof(f13601,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| sK52 = X0 )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f3793,f468]) ).
fof(f13602,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| frontsegP(nil,X1) )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f3791,f468]) ).
fof(f13605,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssList(nil)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f3831,f335]) ).
fof(f13656,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ ssList(sK55)
| ~ memberP(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)),X0)
| ~ ssItem(X0) ),
inference(superposition,[],[f331,f13591]) ).
fof(f13657,plain,
! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ frontsegP(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)),X0)
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil))) ),
inference(superposition,[],[f340,f13591]) ).
fof(f13668,plain,
( frontsegP(sK49,app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ ssList(sK55)
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil))) ),
inference(superposition,[],[f1293,f13591]) ).
fof(f13678,plain,
( frontsegP(sK49,app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil))) ),
inference(forward_subsumption_resolution,[],[f13668,f410]) ).
fof(f13687,plain,
! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ frontsegP(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)),X0)
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil))) ),
inference(forward_subsumption_resolution,[],[f13657,f410]) ).
fof(f13688,plain,
( ! [X0] :
( memberP(sK49,X0)
| ~ ssList(sK55)
| ~ memberP(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)),X0)
| ~ ssItem(X0) )
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f13656,f4758]) ).
fof(f13695,plain,
( frontsegP(sK49,app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f13678,f4758]) ).
fof(f13704,plain,
( ! [X0] :
( ~ frontsegP(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)),X0)
| ~ ssList(X0)
| frontsegP(sK49,X0) )
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f13687,f4758]) ).
fof(f13705,plain,
( ! [X0] :
( ~ memberP(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)),X0)
| memberP(sK49,X0)
| ~ ssItem(X0) )
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f13688,f410]) ).
fof(f14370,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f13605,f305]) ).
fof(f14895,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| sK52 = X0 )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f13601,f305]) ).
fof(f14912,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| frontsegP(nil,X1) )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f13602,f305]) ).
fof(f15274,plain,
( ~ ssList(app(sK54,cons(sK51,nil)))
| frontsegP(sK49,app(sK54,cons(sK51,nil)))
| ~ ssList(cons(sK51,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_20 ),
inference(resolution,[],[f13704,f1293]) ).
fof(f15275,plain,
( ! [X0] :
( ~ ssList(X0)
| frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ ssList(cons(sK51,nil))
| ~ frontsegP(app(sK54,cons(sK51,nil)),X0)
| ~ ssList(app(sK54,cons(sK51,nil))) )
| ~ spl56_20 ),
inference(resolution,[],[f13704,f340]) ).
fof(f15281,plain,
( ! [X0] :
( ~ ssList(X0)
| frontsegP(sK49,X0)
| ~ ssList(cons(sK51,nil))
| ~ frontsegP(app(sK54,cons(sK51,nil)),X0)
| ~ ssList(app(sK54,cons(sK51,nil))) )
| ~ spl56_20 ),
inference(duplicate_literal_removal,[],[f15275]) ).
fof(f15282,plain,
( ~ ssList(app(sK54,cons(sK51,nil)))
| frontsegP(sK49,app(sK54,cons(sK51,nil)))
| ~ ssList(cons(sK51,nil))
| ~ spl56_20 ),
inference(duplicate_literal_removal,[],[f15274]) ).
fof(f15285,plain,
( ! [X0] :
( ~ ssList(X0)
| frontsegP(sK49,X0)
| ~ frontsegP(app(sK54,cons(sK51,nil)),X0)
| ~ ssList(app(sK54,cons(sK51,nil))) )
| ~ spl56_16
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f15281,f3379]) ).
fof(f15286,plain,
( frontsegP(sK49,app(sK54,cons(sK51,nil)))
| ~ ssList(cons(sK51,nil))
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f15282,f4209]) ).
fof(f15288,plain,
( ! [X0] :
( ~ ssList(X0)
| frontsegP(sK49,X0)
| ~ frontsegP(app(sK54,cons(sK51,nil)),X0) )
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f15285,f4209]) ).
fof(f15297,plain,
( memberP(sK49,sK51)
| ~ ssItem(sK51)
| ~ ssItem(sK51)
| ~ ssList(nil)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl56_20 ),
inference(resolution,[],[f13705,f434]) ).
fof(f15298,plain,
( memberP(sK49,sK51)
| ~ ssItem(sK51)
| ~ ssList(nil)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl56_20 ),
inference(duplicate_literal_removal,[],[f15297]) ).
fof(f15301,plain,
( memberP(sK49,sK51)
| ~ ssList(nil)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f15298,f423]) ).
fof(f15304,plain,
( memberP(sK49,sK51)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f15301,f305]) ).
fof(f15307,plain,
( memberP(sK49,sK51)
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f15304,f4209]) ).
fof(f15308,plain,
( memberP(sK49,sK51)
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f15307,f4758]) ).
fof(f15309,plain,
( sK51 = sK52
| ~ ssItem(sK51)
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(resolution,[],[f15308,f14370]) ).
fof(f15312,plain,
( sK51 = sK52
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f15309,f423]) ).
fof(f29065,plain,
( cons(sK52,sK49) = app(cons(sK52,nil),sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f2612,f15312]) ).
fof(f29066,plain,
( cons(sK52,sK49) = app(sK49,sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f29065,f3773]) ).
fof(f29223,plain,
( ~ frontsegP(sK49,cons(sK52,sK49))
| ~ ssList(sK49)
| ~ ssList(sK49)
| sK49 = cons(sK52,sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(superposition,[],[f1307,f29066]) ).
fof(f29232,plain,
( ~ frontsegP(sK49,cons(sK52,sK49))
| ~ ssList(sK49)
| sK49 = cons(sK52,sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(duplicate_literal_removal,[],[f29223]) ).
fof(f29253,plain,
( ~ frontsegP(sK49,cons(sK52,sK49))
| sK49 = cons(sK52,sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f29232,f427]) ).
fof(f29279,plain,
( ~ frontsegP(sK49,cons(sK52,sK49))
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f29253,f798]) ).
fof(f63185,definition,
( spl56_51
<=> ssItem(sK44(sK54)) ),
introduced(definition,[new_symbols(definition,[spl56_51])],[avatar_definition]) ).
fof(f63186,plain,
( ssItem(sK44(sK54))
| ~ spl56_51 ),
inference(avatar_component_clause,[],[f63185]) ).
fof(f63187,plain,
( ~ ssItem(sK44(sK54))
| spl56_51 ),
inference(avatar_component_clause,[],[f63185]) ).
fof(f63189,definition,
( spl56_52
<=> ssList(sK43(sK54)) ),
introduced(definition,[new_symbols(definition,[spl56_52])],[avatar_definition]) ).
fof(f63190,plain,
( ssList(sK43(sK54))
| ~ spl56_52 ),
inference(avatar_component_clause,[],[f63189]) ).
fof(f63191,plain,
( ~ ssList(sK43(sK54))
| spl56_52 ),
inference(avatar_component_clause,[],[f63189]) ).
fof(f63197,plain,
( ~ ssList(sK54)
| nil = sK54
| spl56_51 ),
inference(resolution,[],[f63187,f310]) ).
fof(f63198,plain,
( nil = sK54
| spl56_51 ),
inference(forward_subsumption_resolution,[],[f63197,f412]) ).
fof(f63199,plain,
( $false
| spl56_6
| spl56_51 ),
inference(forward_subsumption_resolution,[],[f63198,f1341]) ).
fof(f63200,plain,
( spl56_6
| spl56_51 ),
inference(avatar_contradiction_clause,[],[f63199]) ).
fof(f63463,plain,
( frontsegP(sK49,app(app(nil,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl56_6
| ~ spl56_20 ),
inference(superposition,[],[f13695,f1342]) ).
fof(f63554,plain,
( frontsegP(sK49,app(app(nil,cons(sK52,nil)),cons(sK52,nil)))
| ~ spl56_1
| spl56_2
| ~ spl56_6
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f63463,f15312]) ).
fof(f63568,plain,
( frontsegP(sK49,app(app(nil,sK49),sK49))
| ~ spl56_1
| spl56_2
| ~ spl56_6
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f63554,f3773]) ).
fof(f63576,plain,
( frontsegP(sK49,app(sK49,sK49))
| ~ spl56_1
| spl56_2
| ~ spl56_6
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f63568,f509]) ).
fof(f63582,plain,
( frontsegP(sK49,cons(sK52,sK49))
| ~ spl56_1
| spl56_2
| ~ spl56_6
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f63576,f29066]) ).
fof(f63585,plain,
( $false
| ~ spl56_1
| spl56_2
| ~ spl56_6
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f63582,f29279]) ).
fof(f63586,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_6
| ~ spl56_18
| ~ spl56_20 ),
inference(avatar_contradiction_clause,[],[f63585]) ).
fof(f63587,plain,
( sK54 = cons(sK44(sK54),sK43(sK54))
| spl56_6 ),
inference(forward_subsumption_resolution,[],[f1047,f1341]) ).
fof(f63708,plain,
( ~ frontsegP(sK49,sK54)
| ~ ssItem(sK44(sK54))
| ~ ssList(sK43(sK54))
| sK52 = sK44(sK54)
| ~ spl56_1
| spl56_2
| spl56_6 ),
inference(superposition,[],[f14895,f63587]) ).
fof(f63709,plain,
( ~ frontsegP(sK49,sK54)
| ~ ssItem(sK44(sK54))
| ~ ssList(sK43(sK54))
| frontsegP(nil,sK43(sK54))
| ~ spl56_1
| spl56_2
| spl56_6 ),
inference(superposition,[],[f14912,f63587]) ).
fof(f63730,plain,
( ~ frontsegP(sK49,sK54)
| ~ ssList(sK43(sK54))
| frontsegP(nil,sK43(sK54))
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51 ),
inference(forward_subsumption_resolution,[],[f63709,f63186]) ).
fof(f63731,plain,
( ~ frontsegP(sK49,sK54)
| ~ ssList(sK43(sK54))
| sK52 = sK44(sK54)
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51 ),
inference(forward_subsumption_resolution,[],[f63708,f63186]) ).
fof(f63790,plain,
( ~ ssList(sK54)
| nil = sK54
| spl56_52 ),
inference(resolution,[],[f63191,f311]) ).
fof(f63791,plain,
( nil = sK54
| spl56_52 ),
inference(forward_subsumption_resolution,[],[f63790,f412]) ).
fof(f63792,plain,
( $false
| spl56_6
| spl56_52 ),
inference(forward_subsumption_resolution,[],[f63791,f1341]) ).
fof(f63793,plain,
( spl56_6
| spl56_52 ),
inference(avatar_contradiction_clause,[],[f63792]) ).
fof(f67914,plain,
( ~ frontsegP(sK49,sK54)
| frontsegP(nil,sK43(sK54))
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52 ),
inference(forward_subsumption_resolution,[],[f63730,f63190]) ).
fof(f67916,definition,
( spl56_68
<=> frontsegP(nil,sK43(sK54)) ),
introduced(definition,[new_symbols(definition,[spl56_68])],[avatar_definition]) ).
fof(f67918,plain,
( frontsegP(nil,sK43(sK54))
| ~ spl56_68 ),
inference(avatar_component_clause,[],[f67916]) ).
fof(f67920,definition,
( spl56_69
<=> frontsegP(sK49,sK54) ),
introduced(definition,[new_symbols(definition,[spl56_69])],[avatar_definition]) ).
fof(f67921,plain,
( frontsegP(sK49,sK54)
| ~ spl56_69 ),
inference(avatar_component_clause,[],[f67920]) ).
fof(f67922,plain,
( ~ frontsegP(sK49,sK54)
| spl56_69 ),
inference(avatar_component_clause,[],[f67920]) ).
fof(f67923,plain,
( spl56_68
| ~ spl56_69
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52 ),
inference(avatar_split_clause,[],[f67914,f63189,f63185,f1340,f470,f466,f67920,f67916]) ).
fof(f67937,definition,
( spl56_71
<=> sK49 = sK54 ),
introduced(definition,[new_symbols(definition,[spl56_71])],[avatar_definition]) ).
fof(f67938,plain,
( sK49 = sK54
| ~ spl56_71 ),
inference(avatar_component_clause,[],[f67937]) ).
fof(f67939,plain,
( sK49 != sK54
| spl56_71 ),
inference(avatar_component_clause,[],[f67937]) ).
fof(f67946,definition,
( spl56_73
<=> ssList(tl(sK54)) ),
introduced(definition,[new_symbols(definition,[spl56_73])],[avatar_definition]) ).
fof(f67947,plain,
( ssList(tl(sK54))
| ~ spl56_73 ),
inference(avatar_component_clause,[],[f67946]) ).
fof(f67948,plain,
( ~ ssList(tl(sK54))
| spl56_73 ),
inference(avatar_component_clause,[],[f67946]) ).
fof(f68026,plain,
( nil = sK54
| ~ ssList(sK54)
| spl56_73 ),
inference(resolution,[],[f67948,f315]) ).
fof(f68027,plain,
( ~ ssList(sK54)
| spl56_6
| spl56_73 ),
inference(forward_subsumption_resolution,[],[f68026,f1341]) ).
fof(f68028,plain,
( $false
| spl56_6
| spl56_73 ),
inference(forward_subsumption_resolution,[],[f68027,f412]) ).
fof(f68029,plain,
( spl56_6
| spl56_73 ),
inference(avatar_contradiction_clause,[],[f68028]) ).
fof(f86742,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sK44(sK54),X0)) = X0 )
| spl56_6 ),
inference(forward_subsumption_resolution,[],[f12397,f1341]) ).
fof(f86808,plain,
( sK43(sK54) = tl(cons(sK44(sK54),sK43(sK54)))
| spl56_6
| ~ spl56_52 ),
inference(resolution,[],[f86742,f63190]) ).
fof(f86816,plain,
( tl(sK54) = sK43(sK54)
| spl56_6
| ~ spl56_52 ),
inference(forward_demodulation,[],[f86808,f63587]) ).
fof(f86838,plain,
( sK54 = cons(sK44(sK54),tl(sK54))
| spl56_6
| ~ spl56_52 ),
inference(superposition,[],[f63587,f86816]) ).
fof(f87936,plain,
( ! [X0] :
( ~ frontsegP(app(sK54,cons(sK52,nil)),X0)
| ~ ssList(X0)
| frontsegP(sK49,X0) )
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f15288,f15312]) ).
fof(f87937,plain,
( ! [X0] :
( ~ frontsegP(app(sK54,sK49),X0)
| ~ ssList(X0)
| frontsegP(sK49,X0) )
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f87936,f3773]) ).
fof(f87938,plain,
( ~ ssList(sK54)
| frontsegP(sK49,sK54)
| ~ ssList(sK49)
| ~ ssList(sK54)
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20 ),
inference(resolution,[],[f87937,f1293]) ).
fof(f87948,plain,
( ~ ssList(sK54)
| frontsegP(sK49,sK54)
| ~ ssList(sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20 ),
inference(duplicate_literal_removal,[],[f87938]) ).
fof(f87952,plain,
( frontsegP(sK49,sK54)
| ~ ssList(sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f87948,f412]) ).
fof(f87954,plain,
( ~ ssList(sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20
| spl56_69 ),
inference(forward_subsumption_resolution,[],[f87952,f67922]) ).
fof(f87955,plain,
( $false
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20
| spl56_69 ),
inference(forward_subsumption_resolution,[],[f87954,f427]) ).
fof(f87956,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20
| spl56_69 ),
inference(avatar_contradiction_clause,[],[f87955]) ).
fof(f87957,plain,
( frontsegP(nil,tl(sK54))
| spl56_6
| ~ spl56_52
| ~ spl56_68 ),
inference(forward_demodulation,[],[f67918,f86816]) ).
fof(f87958,plain,
( ~ frontsegP(sK49,sK54)
| sK52 = sK44(sK54)
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52 ),
inference(forward_subsumption_resolution,[],[f63731,f63190]) ).
fof(f88033,plain,
( nil = tl(sK54)
| ~ ssList(tl(sK54))
| spl56_6
| ~ spl56_52
| ~ spl56_68 ),
inference(resolution,[],[f87957,f346]) ).
fof(f88082,plain,
( nil = tl(sK54)
| spl56_6
| ~ spl56_52
| ~ spl56_68
| ~ spl56_73 ),
inference(forward_subsumption_resolution,[],[f88033,f67947]) ).
fof(f88108,plain,
( sK52 = sK44(sK54)
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52
| ~ spl56_69 ),
inference(forward_subsumption_resolution,[],[f87958,f67921]) ).
fof(f88288,plain,
( sK54 = cons(sK44(sK54),nil)
| spl56_6
| ~ spl56_52
| ~ spl56_68
| ~ spl56_73 ),
inference(superposition,[],[f86838,f88082]) ).
fof(f88297,plain,
( sK54 = cons(sK52,nil)
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52
| ~ spl56_68
| ~ spl56_69
| ~ spl56_73 ),
inference(forward_demodulation,[],[f88288,f88108]) ).
fof(f88306,plain,
( sK49 = sK54
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52
| ~ spl56_68
| ~ spl56_69
| ~ spl56_73 ),
inference(forward_demodulation,[],[f88297,f3773]) ).
fof(f88307,plain,
( $false
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52
| ~ spl56_68
| ~ spl56_69
| spl56_71
| ~ spl56_73 ),
inference(forward_subsumption_resolution,[],[f88306,f67939]) ).
fof(f88308,plain,
( ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52
| ~ spl56_68
| ~ spl56_69
| spl56_71
| ~ spl56_73 ),
inference(avatar_contradiction_clause,[],[f88307]) ).
fof(f88696,plain,
( $false
| spl56_16 ),
inference(forward_subsumption_resolution,[],[f3387,f305]) ).
fof(f88697,plain,
spl56_16,
inference(avatar_contradiction_clause,[],[f88696]) ).
fof(f88706,plain,
( frontsegP(sK49,app(sK54,cons(sK52,nil)))
| ~ ssList(cons(sK51,nil))
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f15286,f15312]) ).
fof(f88799,plain,
( frontsegP(sK49,app(sK54,sK49))
| ~ ssList(cons(sK51,nil))
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f88706,f3773]) ).
fof(f88876,plain,
( frontsegP(sK49,app(sK49,sK49))
| ~ ssList(cons(sK51,nil))
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_71 ),
inference(forward_demodulation,[],[f88799,f67938]) ).
fof(f88939,plain,
( frontsegP(sK49,cons(sK52,sK49))
| ~ ssList(cons(sK51,nil))
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_71 ),
inference(forward_demodulation,[],[f88876,f29066]) ).
fof(f88994,plain,
( ~ ssList(cons(sK51,nil))
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_71 ),
inference(forward_subsumption_resolution,[],[f88939,f29279]) ).
fof(f89046,plain,
( ~ ssList(cons(sK52,nil))
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_71 ),
inference(forward_demodulation,[],[f88994,f15312]) ).
fof(f89085,plain,
( ~ ssList(sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_71 ),
inference(forward_demodulation,[],[f89046,f3773]) ).
fof(f89108,plain,
( $false
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_71 ),
inference(forward_subsumption_resolution,[],[f89085,f427]) ).
fof(f89109,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_71 ),
inference(avatar_contradiction_clause,[],[f89108]) ).
cnf(s2,plain,
( spl56_1
| spl56_3 ),
inference(sat_conversion,[],[f479]) ).
cnf(s3,plain,
( ~ spl56_2
| spl56_3
| spl56_4 ),
inference(sat_conversion,[],[f485]) ).
cnf(s20,plain,
( ~ spl56_3
| ~ spl56_15
| ~ spl56_16 ),
inference(sat_conversion,[],[f3467]) ).
cnf(s21,plain,
( ~ spl56_3
| spl56_15
| ~ spl56_16 ),
inference(sat_conversion,[],[f3621]) ).
cnf(s22,plain,
( ~ spl56_1
| ~ spl56_4 ),
inference(sat_conversion,[],[f3676]) ).
cnf(s24,plain,
( ~ spl56_16
| spl56_18 ),
inference(sat_conversion,[],[f4219]) ).
cnf(s26,plain,
( ~ spl56_16
| ~ spl56_18
| spl56_20 ),
inference(sat_conversion,[],[f4769]) ).
cnf(s68,plain,
( spl56_6
| spl56_51 ),
inference(sat_conversion,[],[f63200]) ).
cnf(s70,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_6
| ~ spl56_18
| ~ spl56_20 ),
inference(sat_conversion,[],[f63586]) ).
cnf(s71,plain,
( spl56_6
| spl56_52 ),
inference(sat_conversion,[],[f63793]) ).
cnf(s84,plain,
( ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52
| spl56_68
| ~ spl56_69 ),
inference(sat_conversion,[],[f67923]) ).
cnf(s88,plain,
( spl56_6
| spl56_73 ),
inference(sat_conversion,[],[f68029]) ).
cnf(s115,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20
| spl56_69 ),
inference(sat_conversion,[],[f87956]) ).
cnf(s116,plain,
( ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52
| ~ spl56_68
| ~ spl56_69
| spl56_71
| ~ spl56_73 ),
inference(sat_conversion,[],[f88308]) ).
cnf(s119,plain,
spl56_16,
inference(sat_conversion,[],[f88697]) ).
cnf(s121,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_71 ),
inference(sat_conversion,[],[f89109]) ).
cnf(s123,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| spl56_69 ),
inference(rat,[],[s115,s119]) ).
cnf(s139,plain,
( ~ spl56_18
| spl56_20 ),
inference(rat,[],[s26,s119]) ).
cnf(s140,plain,
spl56_18,
inference(rat,[],[s24,s119]) ).
cnf(s141,plain,
spl56_20,
inference(rat,[],[s139,s140]) ).
cnf(s143,plain,
( ~ spl56_3
| spl56_15 ),
inference(rat,[],[s21,s119]) ).
cnf(s144,plain,
( ~ spl56_3
| ~ spl56_15 ),
inference(rat,[],[s20,s119]) ).
cnf(s149,plain,
~ spl56_3,
inference(rat,[],[s144,s143]) ).
cnf(s153,plain,
spl56_1,
inference(rat,[],[s2,s149]) ).
cnf(s155,plain,
~ spl56_4,
inference(rat,[],[s22,s153]) ).
cnf(s156,plain,
~ spl56_2,
inference(rat,[],[s3,s149,s155]) ).
cnf(s157,plain,
~ spl56_71,
inference(rat,[],[s121,s153,s141,s140,s156]) ).
cnf(s158,plain,
spl56_69,
inference(rat,[],[s123,s153,s141,s140,s156]) ).
cnf(s164,plain,
~ spl56_6,
inference(rat,[],[s70,s141,s140,s153,s156]) ).
cnf(s174,plain,
spl56_73,
inference(rat,[],[s88,s164]) ).
cnf(s176,plain,
spl56_52,
inference(rat,[],[s71,s164]) ).
cnf(s177,plain,
spl56_51,
inference(rat,[],[s68,s164]) ).
cnf(s184,plain,
~ spl56_68,
inference(rat,[],[s116,s174,s157,s158,s164,s176,s156,s153,s177]) ).
cnf(s185,plain,
$false,
inference(rat,[],[s84,s158,s164,s176,s156,s153,s184,s177]) ).
fof(f89128,plain,
$false,
inference(avatar_sat_refutation,[],[s185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC172+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n013.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 08:15:21 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 Running first-order model finding
% 0.11/0.39 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
% 13.42/2.37 % (1019417)Will run a generic schedule for satisfiability detection.
% 13.42/2.37 % (1019426)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3299064638:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.42/2.37 % (1019422)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4224539313_2999 on theBenchmark for (2999ds/0Mi)
% 13.42/2.37 % (1019423)% WARNING: option uhcvi not known.
% 13.42/2.37 % (1019424)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1357077586:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.42/2.37 % (1019425)dis+10_1_sil=32000:sp=arity:random_seed=2341352595:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.42/2.37 % (1019427)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=46862938:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.42/2.37 % (1019428)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2930546193:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.42/2.37 % (1019423)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3986163074:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.42/2.37 % TRYING [1]
% 13.42/2.37 % TRYING [2]
% 13.42/2.37 % TRYING [3]
% 13.42/2.37 % (1019426)Instruction limit reached!
% 13.42/2.37 % (1019426)------------------------------
% 13.42/2.37 % (1019426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.42/2.37 % (1019426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.42/2.37 % (1019426)CaDiCaL version: 2.1.3
% 13.42/2.37 % (1019426)Termination reason: Instruction limit
% 13.42/2.37 % (1019426)Termination phase: Saturation
% 13.42/2.37 % (1019426)Time elapsed: 0.038 s
% 13.42/2.37 % (1019426)Peak memory usage: 13 MB
% 13.42/2.37 % (1019426)Instructions burned: 116 (million)
% 13.42/2.37 % TRYING [4]
% 13.42/2.37 % (1019436)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=944866801:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.42/2.37 % TRYING [1]
% 13.42/2.37 % TRYING [2]
% 13.42/2.37 % TRYING [3]
% 13.42/2.37 % (1019425)Instruction limit reached!
% 13.42/2.37 % (1019425)------------------------------
% 13.42/2.37 % (1019425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.42/2.37 % (1019425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.42/2.37 % (1019425)CaDiCaL version: 2.1.3
% 13.42/2.37 % (1019425)Termination reason: Instruction limit
% 13.42/2.37 % (1019425)Termination phase: Saturation
% 13.42/2.37 % (1019425)Time elapsed: 0.060 s
% 13.42/2.37 % (1019425)Peak memory usage: 13 MB
% 13.42/2.37 % (1019425)Instructions burned: 104 (million)
% 13.42/2.37 % TRYING [4]
% 13.42/2.37 % (1019427)Instruction limit reached!
% 13.42/2.37 % (1019427)------------------------------
% 13.42/2.37 % (1019427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.42/2.37 % (1019427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.42/2.37 % (1019427)CaDiCaL version: 2.1.3
% 13.42/2.37 % (1019427)Termination reason: Instruction limit
% 13.42/2.37 % (1019427)Termination phase: Saturation
% 13.42/2.37 % (1019427)Time elapsed: 0.077 s
% 13.42/2.37 % (1019427)Peak memory usage: 13 MB
% 13.42/2.37 % (1019427)Instructions burned: 131 (million)
% 13.42/2.37 % (1019438)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=753151631:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.42/2.37 % TRYING [5]
% 13.42/2.37 % TRYING [5]
% 13.42/2.37 % (1019439)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=104740484:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.42/2.37 % (1019428)Instruction limit reached!
% 13.42/2.37 % (1019428)------------------------------
% 13.42/2.37 % (1019428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.42/2.37 % (1019428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.42/2.37 % (1019428)CaDiCaL version: 2.1.3
% 13.42/2.37 % (1019428)Termination reason: Instruction limit
% 13.42/2.37 % (1019428)Termination phase: Saturation
% 13.42/2.37 % (1019428)Time elapsed: 0.105 s
% 13.42/2.37 % (1019428)Peak memory usage: 15 MB
% 13.42/2.37 % (1019428)Instructions burned: 160 (million)
% 13.42/2.37 % (1019442)ott-21_1_sil=16000:fs=off:random_seed=2405284766:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.42/2.37 % (1019438)Instruction limit reached!
% 13.42/2.37 % (1019438)------------------------------
% 13.42/2.37 % (1019438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.08/3.88 % (1019438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/3.88 % (1019438)CaDiCaL version: 2.1.3
% 24.08/3.88 % (1019438)Termination reason: Instruction limit
% 24.08/3.88 % (1019438)Termination phase: Saturation
% 24.08/3.88 % (1019438)Time elapsed: 0.073 s
% 24.08/3.88 % (1019438)Peak memory usage: 13 MB
% 24.08/3.88 % (1019438)Instructions burned: 131 (million)
% 24.08/3.88 % (1019444)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1239689903:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 24.08/3.88 % TRYING [6]
% 24.08/3.88 % (1019436)Instruction limit reached!
% 24.08/3.88 % (1019436)------------------------------
% 24.08/3.88 % (1019436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.08/3.88 % (1019436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/3.88 % (1019436)CaDiCaL version: 2.1.3
% 24.08/3.88 % (1019436)Termination reason: Instruction limit
% 24.08/3.88 % (1019436)Termination phase: Finite model building constraint generation
% 24.08/3.88 % (1019436)Time elapsed: 0.164 s
% 24.08/3.88 % (1019436)Peak memory usage: 28 MB
% 24.08/3.88 % (1019436)Instructions burned: 719 (million)
% 24.08/3.88 % (1019442)Instruction limit reached!
% 24.08/3.88 % (1019442)------------------------------
% 24.08/3.88 % (1019442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.08/3.88 % (1019442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/3.88 % (1019442)CaDiCaL version: 2.1.3
% 24.08/3.88 % (1019442)Termination reason: Instruction limit
% 24.08/3.88 % (1019442)Termination phase: Saturation
% 24.08/3.88 % (1019442)Time elapsed: 0.088 s
% 24.08/3.88 % (1019442)Peak memory usage: 13 MB
% 24.08/3.88 % (1019442)Instructions burned: 180 (million)
% 24.08/3.88 % TRYING [6]
% 24.08/3.88 % (1019446)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4111504442:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 24.08/3.88 % TRYING [1]
% 24.08/3.88 % TRYING [2]
% 24.08/3.88 % (1019447)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=248951797:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 24.08/3.88 % TRYING [3]
% 24.08/3.88 % TRYING [4]
% 24.08/3.88 % TRYING [5]
% 24.08/3.88 % (1019446)Instruction limit reached!
% 24.08/3.88 % (1019446)------------------------------
% 24.08/3.88 % (1019446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.08/3.88 % (1019446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/3.88 % (1019446)CaDiCaL version: 2.1.3
% 24.08/3.88 % (1019446)Termination reason: Instruction limit
% 24.08/3.88 % (1019446)Termination phase: Finite model building SAT solving
% 24.08/3.88 % (1019446)Time elapsed: 0.186 s
% 24.08/3.88 % (1019446)Peak memory usage: 22 MB
% 24.08/3.88 % (1019446)Instructions burned: 868 (million)
% 24.08/3.88 % (1019450)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2075426142:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 24.08/3.88 % (1019439)Instruction limit reached!
% 24.08/3.88 % (1019439)------------------------------
% 24.08/3.88 % (1019439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.08/3.88 % (1019439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/3.88 % (1019439)CaDiCaL version: 2.1.3
% 24.08/3.88 % (1019439)Termination reason: Instruction limit
% 24.08/3.88 % (1019439)Termination phase: Saturation
% 24.08/3.88 % (1019439)Time elapsed: 0.376 s
% 24.08/3.88 % (1019439)Peak memory usage: 21 MB
% 24.08/3.88 % (1019439)Instructions burned: 685 (million)
% 24.08/3.88 % TRYING [14]
% 24.08/3.88 % (1019452)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=2027688646: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)
% 24.08/3.88 % (1019444)Instruction limit reached!
% 24.08/3.88 % (1019444)------------------------------
% 24.08/3.88 % (1019444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.08/3.88 % (1019444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/3.88 % (1019444)CaDiCaL version: 2.1.3
% 24.08/3.88 % (1019444)Termination reason: Instruction limit
% 24.08/3.88 % (1019444)Termination phase: Saturation
% 24.08/3.88 % (1019444)Time elapsed: 0.322 s
% 24.08/3.88 % (1019444)Peak memory usage: 14 MB
% 24.08/3.88 % (1019444)Instructions burned: 478 (million)
% 24.08/3.88 % (1019454)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2332509865:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 24.08/3.88 % TRYING [7]
% 24.08/3.88 % (1019450)Instruction limit reached!
% 24.08/3.88 % (1019450)------------------------------
% 24.08/3.88 % (1019450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.08/3.88 % (1019450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/3.88 % (1019450)CaDiCaL version: 2.1.3
% 24.08/3.88 % (1019450)Termination reason: Instruction limit
% 24.08/3.88 % (1019450)Termination phase: Finite model building constraint generation
% 24.08/3.88 % (1019450)Time elapsed: 0.176 s
% 24.08/3.88 % (1019450)Peak memory usage: 70 MB
% 24.08/3.88 % (1019450)Instructions burned: 889 (million)
% 24.08/3.88 % (1019456)fmb+10_1_sil=64000:random_seed=4120875548:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 24.08/3.88 % TRYING [1]
% 24.08/3.88 % TRYING [2]
% 24.08/3.88 % TRYING [3]
% 24.08/3.88 % TRYING [4]
% 24.08/3.88 % TRYING [5]
% 24.08/3.88 % (1019452)Instruction limit reached!
% 24.08/3.88 % (1019452)------------------------------
% 24.08/3.88 % (1019452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.08/3.88 % (1019452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/3.88 % (1019452)CaDiCaL version: 2.1.3
% 24.08/3.88 % (1019452)Termination reason: Instruction limit
% 24.08/3.88 % (1019452)Termination phase: Saturation
% 24.08/3.88 % (1019452)Time elapsed: 0.369 s
% 24.08/3.88 % (1019452)Peak memory usage: 22 MB
% 24.08/3.88 % (1019452)Instructions burned: 694 (million)
% 24.08/3.88 % (1019447)Instruction limit reached!
% 24.08/3.88 % (1019447)------------------------------
% 24.08/3.88 % (1019447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.08/3.88 % (1019447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/3.88 % (1019447)CaDiCaL version: 2.1.3
% 24.08/3.88 % (1019447)Termination reason: Instruction limit
% 24.08/3.88 % (1019447)Termination phase: Saturation
% 24.08/3.88 % (1019447)Time elapsed: 0.643 s
% 24.08/3.88 % (1019447)Peak memory usage: 27 MB
% 24.08/3.88 % (1019447)Instructions burned: 1179 (million)
% 24.08/3.88 % TRYING [6]
% 24.08/3.88 % (1019458)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2830552300:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 24.08/3.88 % (1019459)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2094631895:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 24.08/3.88 % TRYING [20]
% 24.08/3.88 % TRYING [8]
% 24.08/3.88 % (1019454)Instruction limit reached!
% 24.08/3.88 % (1019454)------------------------------
% 24.08/3.88 % (1019454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.08/3.88 % (1019454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/3.88 % (1019454)CaDiCaL version: 2.1.3
% 24.08/3.88 % (1019454)Termination reason: Instruction limit
% 24.08/3.88 % (1019454)Termination phase: Saturation
% 24.08/3.88 % (1019454)Time elapsed: 0.467 s
% 24.08/3.88 % (1019454)Peak memory usage: 20 MB
% 24.08/3.88 % (1019454)Instructions burned: 881 (million)
% 24.08/3.88 % (1019462)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4011085924:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 24.08/3.88 % TRYING [8]
% 24.08/3.88 % (1019459)Instruction limit reached!
% 24.08/3.88 % (1019459)------------------------------
% 24.08/3.88 % (1019459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.08/3.88 % (1019459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/3.88 % (1019459)CaDiCaL version: 2.1.3
% 24.08/3.88 % (1019459)Termination reason: Instruction limit
% 24.08/3.88 % (1019459)Termination phase: Finite model building constraint generation
% 24.08/3.88 % (1019459)Time elapsed: 0.338 s
% 24.08/3.88 % (1019459)Peak memory usage: 69 MB
% 24.08/3.88 % (1019459)Instructions burned: 921 (million)
% 24.08/3.88 % (1019464)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2185797468:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 24.08/3.88 % TRYING [7]
% 24.08/3.88 % (1019464)Instruction limit reached!
% 24.08/3.88 % (1019464)------------------------------
% 24.08/3.88 % (1019464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.08/3.88 % (1019464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/3.88 % (1019464)CaDiCaL version: 2.1.3
% 24.08/3.88 % (1019464)Termination reason: Instruction limit
% 24.08/3.88 % (1019464)Termination phase: Saturation
% 24.08/3.88 % (1019464)Time elapsed: 0.649 s
% 24.08/3.88 % (1019464)Peak memory usage: 23 MB
% 24.08/3.88 % (1019464)Instructions burned: 1473 (million)
% 24.08/3.88 % (1019466)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2317014926:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 24.08/3.88 % TRYING [77]
% 24.08/3.88 % TRYING [8]
% 24.08/3.88 % TRYING [9]
% 24.08/3.88 % (1019462) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1019417-1019462"...
% 24.08/3.88 % (1019462)...printing done.
% 24.08/3.88 % (1019462)Refutation found. Thanks to Tanya!
% 24.08/3.88 % SZS status Theorem for theBenchmark
% 24.08/3.88 % SZS output start Proof for theBenchmark
% See solution above
% 24.08/3.89 % (1019462)------------------------------
% 24.08/3.89 % (1019462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.08/3.89 % (1019462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.08/3.89 % (1019462)CaDiCaL version: 2.1.3
% 24.08/3.89 % (1019462)Termination reason: Refutation
% 24.08/3.89 % (1019462)Time elapsed: 2.363 s
% 24.08/3.89 % (1019462)Peak memory usage: 48 MB
% 24.08/3.89 % (1019462)Instructions burned: 4368 (million)
% 24.08/3.89 % (1019417)Success in time 3.481 s
% 24.08/3.89 % Vampire exiting
%------------------------------------------------------------------------------