TSTP Solution File: SWC065+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC065+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 04:42:41 EDT 2024
% Result : Theorem 8.61s 1.63s
% Output : Refutation 8.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 14
% Syntax : Number of formulae : 81 ( 18 unt; 0 def)
% Number of atoms : 573 ( 223 equ)
% Maximal formula atoms : 46 ( 7 avg)
% Number of connectives : 773 ( 281 ~; 266 |; 190 &)
% ( 6 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 183 ( 124 !; 59 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37751,plain,
$false,
inference(resolution,[],[f37750,f399]) ).
fof(f399,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f37750,plain,
~ ssList(nil),
inference(resolution,[],[f33853,f636]) ).
fof(f636,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f629]) ).
fof(f629,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f578]) ).
fof(f578,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f357]) ).
fof(f357,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f33853,plain,
neq(nil,nil),
inference(trivial_inequality_removal,[],[f33452]) ).
fof(f33452,plain,
( nil != nil
| neq(nil,nil) ),
inference(backward_demodulation,[],[f14437,f31937]) ).
fof(f31937,plain,
nil = sK18,
inference(resolution,[],[f31936,f649]) ).
fof(f649,plain,
ssList(sK18),
inference(forward_demodulation,[],[f378,f381]) ).
fof(f381,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
( ( ( ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(sK19,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(sK19,nil) )
| ( nil != sK18
& nil = sK19 ) )
& ( nil != sK20
| nil = sK21 )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != sK20
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != sK22
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(sK20)
& sK21 = app(sK20,sK22)
& ssList(sK22)
& sK18 = sK20
& sK19 = sK21
& ssList(sK21)
& ssList(sK20)
& ssList(sK19)
& ssList(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21,sK22])],[f100,f255,f254,f253,f252,f251]) ).
fof(f251,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ! [X4] :
( ~ segmentP(X0,X4)
| ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(X1,nil) )
| ( nil != X0
& nil = X1 ) )
& ( nil != X2
| nil = X3 )
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != X2
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(X2)
& app(X2,X5) = X3
& ssList(X5) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(X1,nil) )
| ( nil != sK18
& nil = X1 ) )
& ( nil != X2
| nil = X3 )
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != X2
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(X2)
& app(X2,X5) = X3
& ssList(X5) )
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(X1,nil) )
| ( nil != sK18
& nil = X1 ) )
& ( nil != X2
| nil = X3 )
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != X2
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(X2)
& app(X2,X5) = X3
& ssList(X5) )
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(sK19,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(sK19,nil) )
| ( nil != sK18
& nil = sK19 ) )
& ( nil != X2
| nil = X3 )
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != X2
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(X2)
& app(X2,X5) = X3
& ssList(X5) )
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X2] :
( ? [X3] :
( ( ( ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(sK19,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(sK19,nil) )
| ( nil != sK18
& nil = sK19 ) )
& ( nil != X2
| nil = X3 )
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != X2
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(X2)
& app(X2,X5) = X3
& ssList(X5) )
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(sK19,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(sK19,nil) )
| ( nil != sK18
& nil = sK19 ) )
& ( nil != sK20
| nil = X3 )
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != sK20
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(sK20)
& app(sK20,X5) = X3
& ssList(X5) )
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
( ? [X3] :
( ( ( ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(sK19,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(sK19,nil) )
| ( nil != sK18
& nil = sK19 ) )
& ( nil != sK20
| nil = X3 )
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != sK20
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(sK20)
& app(sK20,X5) = X3
& ssList(X5) )
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
=> ( ( ( ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(sK19,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(sK19,nil) )
| ( nil != sK18
& nil = sK19 ) )
& ( nil != sK20
| nil = sK21 )
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != sK20
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(sK20)
& app(sK20,X5) = sK21
& ssList(X5) )
& sK18 = sK20
& sK19 = sK21
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f255,plain,
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != sK20
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(sK20)
& app(sK20,X5) = sK21
& ssList(X5) )
=> ( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != sK20
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != sK22
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(sK20)
& sK21 = app(sK20,sK22)
& ssList(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ! [X4] :
( ~ segmentP(X0,X4)
| ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(X1,nil) )
| ( nil != X0
& nil = X1 ) )
& ( nil != X2
| nil = X3 )
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != X2
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(X2)
& app(X2,X5) = X3
& ssList(X5) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ! [X4] :
( ~ segmentP(X0,X4)
| ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(X1,nil) )
| ( nil != X0
& nil = X1 ) )
& ( nil != X2
| nil = X3 )
& ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( app(X8,cons(X6,nil)) != X2
| ~ ssList(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& equalelemsP(X2)
& app(X2,X5) = X3
& ssList(X5) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| ~ neq(X1,nil) )
& ( nil = X0
| nil != X1 ) )
| ( nil = X2
& nil != X3 )
| ! [X5] :
( ssList(X5)
=> ( ? [X6] :
( ? [X7] :
( ? [X8] :
( app(X8,cons(X6,nil)) = X2
& ssList(X8) )
& app(cons(X6,nil),X7) = X5
& ssList(X7) )
& ssItem(X6) )
| ~ equalelemsP(X2)
| app(X2,X5) != X3 ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ? [X8] :
( segmentP(X0,X8)
& segmentP(X1,X8)
& neq(X8,nil)
& ssList(X8) )
| ~ neq(X1,nil) )
& ( nil = X0
| nil != X1 ) )
| ( nil = X2
& nil != X3 )
| ! [X4] :
( ssList(X4)
=> ( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(X7,cons(X5,nil)) = X2
& ssList(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| ~ equalelemsP(X2)
| app(X2,X4) != X3 ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ? [X8] :
( segmentP(X0,X8)
& segmentP(X1,X8)
& neq(X8,nil)
& ssList(X8) )
| ~ neq(X1,nil) )
& ( nil = X0
| nil != X1 ) )
| ( nil = X2
& nil != X3 )
| ! [X4] :
( ssList(X4)
=> ( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(X7,cons(X5,nil)) = X2
& ssList(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| ~ equalelemsP(X2)
| app(X2,X4) != X3 ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f378,plain,
ssList(sK20),
inference(cnf_transformation,[],[f256]) ).
fof(f31936,plain,
( ~ ssList(sK18)
| nil = sK18 ),
inference(resolution,[],[f19815,f382]) ).
fof(f382,plain,
ssList(sK22),
inference(cnf_transformation,[],[f256]) ).
fof(f19815,plain,
( ~ ssList(sK22)
| nil = sK18
| ~ ssList(sK18) ),
inference(trivial_inequality_removal,[],[f14460]) ).
fof(f14460,plain,
( nil != nil
| nil = sK18
| ~ ssList(sK22)
| ~ ssList(sK18) ),
inference(backward_demodulation,[],[f1296,f14435]) ).
fof(f14435,plain,
nil = sK19,
inference(duplicate_literal_removal,[],[f14432]) ).
fof(f14432,plain,
( nil = sK19
| nil = sK19 ),
inference(superposition,[],[f14368,f380]) ).
fof(f380,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f256]) ).
fof(f14368,plain,
( nil = sK21
| nil = sK19 ),
inference(trivial_inequality_removal,[],[f14217]) ).
fof(f14217,plain,
( nil != nil
| nil = sK21
| nil = sK19 ),
inference(superposition,[],[f643,f14214]) ).
fof(f14214,plain,
( nil = sK18
| nil = sK19 ),
inference(resolution,[],[f14213,f399]) ).
fof(f14213,plain,
( ~ ssList(nil)
| nil = sK18
| nil = sK19 ),
inference(resolution,[],[f14212,f648]) ).
fof(f648,plain,
ssList(sK19),
inference(forward_demodulation,[],[f379,f380]) ).
fof(f379,plain,
ssList(sK21),
inference(cnf_transformation,[],[f256]) ).
fof(f14212,plain,
( ~ ssList(sK19)
| ~ ssList(nil)
| nil = sK18
| nil = sK19 ),
inference(resolution,[],[f14211,f649]) ).
fof(f14211,plain,
( ~ ssList(sK18)
| ~ ssList(nil)
| ~ ssList(sK19)
| nil = sK18
| nil = sK19 ),
inference(resolution,[],[f14209,f382]) ).
fof(f14209,plain,
( ~ ssList(sK22)
| ~ ssList(nil)
| ~ ssList(sK18)
| ~ ssList(sK19)
| nil = sK18
| nil = sK19 ),
inference(duplicate_literal_removal,[],[f14204]) ).
fof(f14204,plain,
( ~ ssList(sK22)
| ~ ssList(nil)
| ~ ssList(sK18)
| ~ ssList(sK19)
| ~ ssList(sK18)
| ~ ssList(nil)
| nil = sK18
| nil = sK19 ),
inference(resolution,[],[f14198,f1088]) ).
fof(f1088,plain,
( ~ segmentP(sK19,sK18)
| ~ ssList(sK18)
| ~ ssList(nil)
| nil = sK18
| nil = sK19 ),
inference(duplicate_literal_removal,[],[f1085]) ).
fof(f1085,plain,
( ~ ssList(nil)
| ~ ssList(sK18)
| ~ segmentP(sK19,sK18)
| nil = sK18
| nil = sK19
| ~ ssList(sK18) ),
inference(resolution,[],[f970,f459]) ).
fof(f459,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
fof(f970,plain,
! [X0] :
( ~ segmentP(sK18,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK19,X0)
| nil = X0
| nil = sK19 ),
inference(duplicate_literal_removal,[],[f969]) ).
fof(f969,plain,
! [X0] :
( nil = X0
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sK19,X0)
| ~ segmentP(sK18,X0)
| ~ ssList(X0)
| nil = sK19 ),
inference(resolution,[],[f579,f389]) ).
fof(f389,plain,
! [X4] :
( ~ neq(X4,nil)
| ~ segmentP(sK19,X4)
| ~ segmentP(sK18,X4)
| ~ ssList(X4)
| nil = sK19 ),
inference(cnf_transformation,[],[f256]) ).
fof(f579,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f357]) ).
fof(f14198,plain,
( segmentP(sK19,sK18)
| ~ ssList(sK22)
| ~ ssList(nil)
| ~ ssList(sK18)
| ~ ssList(sK19) ),
inference(superposition,[],[f5684,f647]) ).
fof(f647,plain,
sK19 = app(sK18,sK22),
inference(forward_demodulation,[],[f646,f380]) ).
fof(f646,plain,
sK21 = app(sK18,sK22),
inference(forward_demodulation,[],[f383,f381]) ).
fof(f383,plain,
sK21 = app(sK20,sK22),
inference(cnf_transformation,[],[f256]) ).
fof(f5684,plain,
! [X0] :
( segmentP(app(sK18,X0),sK18)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK18)
| ~ ssList(app(sK18,X0)) ),
inference(superposition,[],[f632,f675]) ).
fof(f675,plain,
sK18 = app(nil,sK18),
inference(resolution,[],[f462,f649]) ).
fof(f462,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f632,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f589]) ).
fof(f589,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f370,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(app(sK66(X0,X1),X1),sK67(X0,X1)) = X0
& ssList(sK67(X0,X1))
& ssList(sK66(X0,X1)) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66,sK67])],[f367,f369,f368]) ).
fof(f368,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(app(sK66(X0,X1),X1),X5) = X0
& ssList(X5) )
& ssList(sK66(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f369,plain,
! [X0,X1] :
( ? [X5] :
( app(app(sK66(X0,X1),X1),X5) = X0
& ssList(X5) )
=> ( app(app(sK66(X0,X1),X1),sK67(X0,X1)) = X0
& ssList(sK67(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f367,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f366]) ).
fof(f366,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f643,plain,
( nil != sK18
| nil = sK21 ),
inference(forward_demodulation,[],[f386,f381]) ).
fof(f386,plain,
( nil != sK20
| nil = sK21 ),
inference(cnf_transformation,[],[f256]) ).
fof(f1296,plain,
( nil != sK19
| nil = sK18
| ~ ssList(sK22)
| ~ ssList(sK18) ),
inference(superposition,[],[f591,f647]) ).
fof(f591,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f372,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f371]) ).
fof(f371,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
fof(f14437,plain,
( nil != sK18
| neq(nil,nil) ),
inference(backward_demodulation,[],[f388,f14435]) ).
fof(f388,plain,
( nil != sK18
| neq(sK19,nil) ),
inference(cnf_transformation,[],[f256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC065+1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 03:01:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (27100)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38 % (27103)WARNING: value z3 for option sas not known
% 0.13/0.38 % (27102)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (27104)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (27101)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 % (27106)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.38 % (27103)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % (27105)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.38 % (27107)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.40 TRYING [2]
% 0.22/0.41 TRYING [3]
% 0.22/0.41 TRYING [3]
% 0.22/0.46 TRYING [4]
% 0.22/0.46 TRYING [4]
% 1.39/0.57 TRYING [5]
% 1.39/0.57 TRYING [5]
% 2.96/0.77 TRYING [6]
% 3.23/0.83 TRYING [6]
% 5.66/1.21 TRYING [7]
% 6.49/1.33 TRYING [7]
% 7.76/1.48 TRYING [1]
% 7.76/1.48 TRYING [2]
% 7.76/1.49 TRYING [3]
% 7.76/1.52 TRYING [4]
% 8.61/1.62 TRYING [5]
% 8.61/1.62 % (27106)First to succeed.
% 8.61/1.62 % (27106)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27100"
% 8.61/1.63 % (27106)Refutation found. Thanks to Tanya!
% 8.61/1.63 % SZS status Theorem for theBenchmark
% 8.61/1.63 % SZS output start Proof for theBenchmark
% See solution above
% 8.61/1.63 % (27106)------------------------------
% 8.61/1.63 % (27106)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 8.61/1.63 % (27106)Termination reason: Refutation
% 8.61/1.63
% 8.61/1.63 % (27106)Memory used [KB]: 17541
% 8.61/1.63 % (27106)Time elapsed: 1.247 s
% 8.61/1.63 % (27106)Instructions burned: 3749 (million)
% 8.61/1.63 % (27100)Success in time 1.252 s
%------------------------------------------------------------------------------