TSTP Solution File: SWC242+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC242+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n012.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 : Wed Aug 31 18:42:38 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 12
% Syntax : Number of formulae : 73 ( 16 unt; 0 def)
% Number of atoms : 574 ( 145 equ)
% Maximal formula atoms : 52 ( 7 avg)
% Number of connectives : 798 ( 297 ~; 275 |; 208 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-3 aty)
% Number of variables : 198 ( 116 !; 82 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f654,plain,
$false,
inference(subsumption_resolution,[],[f653,f617]) ).
fof(f617,plain,
sK39 = app(sF62,sK45),
inference(backward_demodulation,[],[f597,f616]) ).
fof(f616,plain,
sK39 = sF63,
inference(forward_demodulation,[],[f615,f471]) ).
fof(f471,plain,
sK39 = sK41,
inference(cnf_transformation,[],[f311]) ).
fof(f311,plain,
( ssList(sK40)
& ( nil = sK41
| ( ssItem(sK43)
& ssList(sK44)
& ssList(sK45)
& sK41 = app(app(sK44,cons(sK43,nil)),sK45)
& ! [X7] :
( ~ lt(sK43,X7)
| ~ memberP(sK45,X7)
| ~ memberP(sK44,X7)
| leq(sK43,X7)
| ~ ssItem(X7) ) ) )
& ssList(sK42)
& nil != sK39
& sK40 = sK42
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ssItem(sK46(X8,X9,X10))
& lt(X8,sK46(X8,X9,X10))
& memberP(X10,sK46(X8,X9,X10))
& ~ leq(X8,sK46(X8,X9,X10))
& memberP(X9,sK46(X8,X9,X10)) )
| ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != sK39 )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& sK39 = sK41
& ssList(sK41)
& ssList(sK39) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46])],[f302,f310,f309,f308,f307,f306,f305,f304,f303]) ).
fof(f303,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( nil = X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X2
& ! [X7] :
( ~ lt(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X4,X7)
| ~ ssItem(X7) ) ) ) ) )
& ssList(X3)
& nil != X0
& X1 = X3
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ? [X11] :
( ssItem(X11)
& lt(X8,X11)
& memberP(X10,X11)
& ~ leq(X8,X11)
& memberP(X9,X11) )
| ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != X0 )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& X0 = X2 )
& ssList(X2) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( nil = X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X2
& ! [X7] :
( ~ lt(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X4,X7)
| ~ ssItem(X7) ) ) ) ) )
& ssList(X3)
& nil != sK39
& X1 = X3
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ? [X11] :
( ssItem(X11)
& lt(X8,X11)
& memberP(X10,X11)
& ~ leq(X8,X11)
& memberP(X9,X11) )
| ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != sK39 )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& sK39 = X2 )
& ssList(X2) ) )
& ssList(sK39) ) ),
introduced(choice_axiom,[]) ).
fof(f304,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( nil = X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X2
& ! [X7] :
( ~ lt(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X4,X7)
| ~ ssItem(X7) ) ) ) ) )
& ssList(X3)
& nil != sK39
& X1 = X3
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ? [X11] :
( ssItem(X11)
& lt(X8,X11)
& memberP(X10,X11)
& ~ leq(X8,X11)
& memberP(X9,X11) )
| ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != sK39 )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& sK39 = X2 )
& ssList(X2) ) )
=> ( ssList(sK40)
& ? [X2] :
( ? [X3] :
( ( nil = X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X2
& ! [X7] :
( ~ lt(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X4,X7)
| ~ ssItem(X7) ) ) ) ) )
& ssList(X3)
& nil != sK39
& sK40 = X3
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ? [X11] :
( ssItem(X11)
& lt(X8,X11)
& memberP(X10,X11)
& ~ leq(X8,X11)
& memberP(X9,X11) )
| ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != sK39 )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& sK39 = X2 )
& ssList(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f305,plain,
( ? [X2] :
( ? [X3] :
( ( nil = X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X2
& ! [X7] :
( ~ lt(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X4,X7)
| ~ ssItem(X7) ) ) ) ) )
& ssList(X3)
& nil != sK39
& sK40 = X3
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ? [X11] :
( ssItem(X11)
& lt(X8,X11)
& memberP(X10,X11)
& ~ leq(X8,X11)
& memberP(X9,X11) )
| ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != sK39 )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& sK39 = X2 )
& ssList(X2) )
=> ( ? [X3] :
( ( nil = sK41
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = sK41
& ! [X7] :
( ~ lt(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X4,X7)
| ~ ssItem(X7) ) ) ) ) )
& ssList(X3)
& nil != sK39
& sK40 = X3
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ? [X11] :
( ssItem(X11)
& lt(X8,X11)
& memberP(X10,X11)
& ~ leq(X8,X11)
& memberP(X9,X11) )
| ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != sK39 )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& sK39 = sK41 )
& ssList(sK41) ) ),
introduced(choice_axiom,[]) ).
fof(f306,plain,
( ? [X3] :
( ( nil = sK41
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = sK41
& ! [X7] :
( ~ lt(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X4,X7)
| ~ ssItem(X7) ) ) ) ) )
& ssList(X3)
& nil != sK39
& sK40 = X3
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ? [X11] :
( ssItem(X11)
& lt(X8,X11)
& memberP(X10,X11)
& ~ leq(X8,X11)
& memberP(X9,X11) )
| ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != sK39 )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& sK39 = sK41 )
=> ( ( nil = sK41
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = sK41
& ! [X7] :
( ~ lt(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X4,X7)
| ~ ssItem(X7) ) ) ) ) )
& ssList(sK42)
& nil != sK39
& sK40 = sK42
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ? [X11] :
( ssItem(X11)
& lt(X8,X11)
& memberP(X10,X11)
& ~ leq(X8,X11)
& memberP(X9,X11) )
| ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != sK39 )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& sK39 = sK41 ) ),
introduced(choice_axiom,[]) ).
fof(f307,plain,
( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = sK41
& ! [X7] :
( ~ lt(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X4,X7)
| ~ ssItem(X7) ) ) ) )
=> ( ssItem(sK43)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(sK43,nil)),X6) = sK41
& ! [X7] :
( ~ lt(sK43,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(sK43,X7)
| ~ ssItem(X7) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f308,plain,
( ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(sK43,nil)),X6) = sK41
& ! [X7] :
( ~ lt(sK43,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(sK43,X7)
| ~ ssItem(X7) ) ) )
=> ( ssList(sK44)
& ? [X6] :
( ssList(X6)
& app(app(sK44,cons(sK43,nil)),X6) = sK41
& ! [X7] :
( ~ lt(sK43,X7)
| ~ memberP(X6,X7)
| ~ memberP(sK44,X7)
| leq(sK43,X7)
| ~ ssItem(X7) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f309,plain,
( ? [X6] :
( ssList(X6)
& app(app(sK44,cons(sK43,nil)),X6) = sK41
& ! [X7] :
( ~ lt(sK43,X7)
| ~ memberP(X6,X7)
| ~ memberP(sK44,X7)
| leq(sK43,X7)
| ~ ssItem(X7) ) )
=> ( ssList(sK45)
& sK41 = app(app(sK44,cons(sK43,nil)),sK45)
& ! [X7] :
( ~ lt(sK43,X7)
| ~ memberP(sK45,X7)
| ~ memberP(sK44,X7)
| leq(sK43,X7)
| ~ ssItem(X7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f310,plain,
! [X8,X9,X10] :
( ? [X11] :
( ssItem(X11)
& lt(X8,X11)
& memberP(X10,X11)
& ~ leq(X8,X11)
& memberP(X9,X11) )
=> ( ssItem(sK46(X8,X9,X10))
& lt(X8,sK46(X8,X9,X10))
& memberP(X10,sK46(X8,X9,X10))
& ~ leq(X8,sK46(X8,X9,X10))
& memberP(X9,sK46(X8,X9,X10)) ) ),
introduced(choice_axiom,[]) ).
fof(f302,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( nil = X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X2
& ! [X7] :
( ~ lt(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7)
| leq(X4,X7)
| ~ ssItem(X7) ) ) ) ) )
& ssList(X3)
& nil != X0
& X1 = X3
& ! [X8] :
( ! [X9] :
( ! [X10] :
( ? [X11] :
( ssItem(X11)
& lt(X8,X11)
& memberP(X10,X11)
& ~ leq(X8,X11)
& memberP(X9,X11) )
| ~ ssList(X10)
| app(app(X9,cons(X8,nil)),X10) != X0 )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& X0 = X2 )
& ssList(X2) ) )
& ssList(X0) ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( nil = X2
| ? [X8] :
( ssItem(X8)
& ? [X9] :
( ssList(X9)
& ? [X10] :
( ssList(X10)
& app(app(X9,cons(X8,nil)),X10) = X2
& ! [X11] :
( ~ lt(X8,X11)
| ~ memberP(X10,X11)
| ~ memberP(X9,X11)
| leq(X8,X11)
| ~ ssItem(X11) ) ) ) ) )
& ssList(X3)
& nil != X0
& X1 = X3
& ! [X4] :
( ! [X5] :
( ! [X6] :
( ? [X7] :
( ssItem(X7)
& lt(X4,X7)
& memberP(X6,X7)
& ~ leq(X4,X7)
& memberP(X5,X7) )
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X0 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& X0 = X2 )
& ssList(X2) ) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( X1 != X3
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ memberP(X5,X7)
| ~ lt(X4,X7)
| leq(X4,X7)
| ~ memberP(X6,X7)
| ~ ssItem(X7) )
& app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = X0
| X0 != X2
| ~ ssList(X3)
| ( ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( app(app(X9,cons(X8,nil)),X10) != X2
| ? [X11] :
( memberP(X9,X11)
& ssItem(X11)
& ~ leq(X8,X11)
& lt(X8,X11)
& memberP(X10,X11) )
| ~ ssList(X10) ) ) )
& nil != X2 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( X1 != X3
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ memberP(X5,X7)
| ~ lt(X4,X7)
| leq(X4,X7)
| ~ memberP(X6,X7)
| ~ ssItem(X7) )
& app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = X0
| X0 != X2
| ~ ssList(X3)
| ( ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( app(app(X9,cons(X8,nil)),X10) != X2
| ? [X11] :
( memberP(X9,X11)
& ssItem(X11)
& ~ leq(X8,X11)
& lt(X8,X11)
& memberP(X10,X11) )
| ~ ssList(X10) ) ) )
& nil != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f615,plain,
sK41 = sF63,
inference(subsumption_resolution,[],[f613,f478]) ).
fof(f478,plain,
nil != sK39,
inference(cnf_transformation,[],[f311]) ).
fof(f613,plain,
( nil = sK39
| sK41 = sF63 ),
inference(backward_demodulation,[],[f598,f471]) ).
fof(f598,plain,
( sK41 = sF63
| nil = sK41 ),
inference(definition_folding,[],[f481,f597,f596,f595]) ).
fof(f595,plain,
sF61 = cons(sK43,nil),
introduced(function_definition,[]) ).
fof(f596,plain,
sF62 = app(sK44,sF61),
introduced(function_definition,[]) ).
fof(f481,plain,
( nil = sK41
| sK41 = app(app(sK44,cons(sK43,nil)),sK45) ),
inference(cnf_transformation,[],[f311]) ).
fof(f597,plain,
app(sF62,sK45) = sF63,
introduced(function_definition,[]) ).
fof(f653,plain,
sK39 != app(sF62,sK45),
inference(forward_demodulation,[],[f652,f596]) ).
fof(f652,plain,
sK39 != app(app(sK44,sF61),sK45),
inference(forward_demodulation,[],[f651,f595]) ).
fof(f651,plain,
sK39 != app(app(sK44,cons(sK43,nil)),sK45),
inference(subsumption_resolution,[],[f650,f618]) ).
fof(f618,plain,
ssList(sK44),
inference(subsumption_resolution,[],[f611,f478]) ).
fof(f611,plain,
( nil = sK39
| ssList(sK44) ),
inference(backward_demodulation,[],[f483,f471]) ).
fof(f483,plain,
( nil = sK41
| ssList(sK44) ),
inference(cnf_transformation,[],[f311]) ).
fof(f650,plain,
( ~ ssList(sK44)
| sK39 != app(app(sK44,cons(sK43,nil)),sK45) ),
inference(subsumption_resolution,[],[f649,f614]) ).
fof(f614,plain,
ssItem(sK43),
inference(subsumption_resolution,[],[f612,f478]) ).
fof(f612,plain,
( nil = sK39
| ssItem(sK43) ),
inference(backward_demodulation,[],[f484,f471]) ).
fof(f484,plain,
( ssItem(sK43)
| nil = sK41 ),
inference(cnf_transformation,[],[f311]) ).
fof(f649,plain,
( sK39 != app(app(sK44,cons(sK43,nil)),sK45)
| ~ ssItem(sK43)
| ~ ssList(sK44) ),
inference(subsumption_resolution,[],[f648,f620]) ).
fof(f620,plain,
ssList(sK45),
inference(subsumption_resolution,[],[f610,f478]) ).
fof(f610,plain,
( ssList(sK45)
| nil = sK39 ),
inference(backward_demodulation,[],[f482,f471]) ).
fof(f482,plain,
( nil = sK41
| ssList(sK45) ),
inference(cnf_transformation,[],[f311]) ).
fof(f648,plain,
( ~ ssList(sK45)
| ~ ssItem(sK43)
| sK39 != app(app(sK44,cons(sK43,nil)),sK45)
| ~ ssList(sK44) ),
inference(resolution,[],[f647,f476]) ).
fof(f476,plain,
! [X10,X8,X9] :
( ssItem(sK46(X8,X9,X10))
| app(app(X9,cons(X8,nil)),X10) != sK39
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssItem(X8) ),
inference(cnf_transformation,[],[f311]) ).
fof(f647,plain,
~ ssItem(sK46(sK43,sK44,sK45)),
inference(subsumption_resolution,[],[f646,f620]) ).
fof(f646,plain,
( ~ ssList(sK45)
| ~ ssItem(sK46(sK43,sK44,sK45)) ),
inference(subsumption_resolution,[],[f645,f617]) ).
fof(f645,plain,
( ~ ssItem(sK46(sK43,sK44,sK45))
| sK39 != app(sF62,sK45)
| ~ ssList(sK45) ),
inference(duplicate_literal_removal,[],[f644]) ).
fof(f644,plain,
( ~ ssItem(sK46(sK43,sK44,sK45))
| ~ ssList(sK45)
| ~ ssList(sK45)
| sK39 != app(sF62,sK45)
| sK39 != app(sF62,sK45) ),
inference(resolution,[],[f643,f636]) ).
fof(f636,plain,
! [X0] :
( memberP(X0,sK46(sK43,sK44,X0))
| ~ ssList(X0)
| sK39 != app(sF62,X0) ),
inference(subsumption_resolution,[],[f635,f618]) ).
fof(f635,plain,
! [X0] :
( sK39 != app(sF62,X0)
| ~ ssList(X0)
| ~ ssList(sK44)
| memberP(X0,sK46(sK43,sK44,X0)) ),
inference(superposition,[],[f628,f596]) ).
fof(f628,plain,
! [X2,X3] :
( sK39 != app(app(X2,sF61),X3)
| ~ ssList(X2)
| ~ ssList(X3)
| memberP(X3,sK46(sK43,X2,X3)) ),
inference(subsumption_resolution,[],[f622,f614]) ).
fof(f622,plain,
! [X2,X3] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(sK43)
| sK39 != app(app(X2,sF61),X3)
| memberP(X3,sK46(sK43,X2,X3)) ),
inference(superposition,[],[f474,f595]) ).
fof(f474,plain,
! [X10,X8,X9] :
( app(app(X9,cons(X8,nil)),X10) != sK39
| ~ ssList(X10)
| ~ ssList(X9)
| memberP(X10,sK46(X8,X9,X10))
| ~ ssItem(X8) ),
inference(cnf_transformation,[],[f311]) ).
fof(f643,plain,
! [X0] :
( ~ memberP(sK45,sK46(sK43,sK44,X0))
| sK39 != app(sF62,X0)
| ~ ssList(X0)
| ~ ssItem(sK46(sK43,sK44,X0)) ),
inference(duplicate_literal_removal,[],[f642]) ).
fof(f642,plain,
! [X0] :
( sK39 != app(sF62,X0)
| sK39 != app(sF62,X0)
| ~ memberP(sK45,sK46(sK43,sK44,X0))
| ~ ssList(X0)
| ~ ssItem(sK46(sK43,sK44,X0)) ),
inference(forward_demodulation,[],[f641,f596]) ).
fof(f641,plain,
! [X0] :
( ~ ssList(X0)
| ~ memberP(sK45,sK46(sK43,sK44,X0))
| sK39 != app(sF62,X0)
| sK39 != app(app(sK44,sF61),X0)
| ~ ssItem(sK46(sK43,sK44,X0)) ),
inference(subsumption_resolution,[],[f640,f618]) ).
fof(f640,plain,
! [X0] :
( ~ ssList(X0)
| sK39 != app(app(sK44,sF61),X0)
| ~ ssItem(sK46(sK43,sK44,X0))
| ~ memberP(sK45,sK46(sK43,sK44,X0))
| sK39 != app(sF62,X0)
| ~ ssList(sK44) ),
inference(duplicate_literal_removal,[],[f639]) ).
fof(f639,plain,
! [X0] :
( sK39 != app(app(sK44,sF61),X0)
| ~ ssItem(sK46(sK43,sK44,X0))
| sK39 != app(sF62,X0)
| ~ ssList(X0)
| ~ memberP(sK45,sK46(sK43,sK44,X0))
| ~ ssList(X0)
| ~ ssList(sK44) ),
inference(resolution,[],[f634,f625]) ).
fof(f625,plain,
! [X4,X5] :
( ~ leq(sK43,sK46(sK43,X4,X5))
| sK39 != app(app(X4,sF61),X5)
| ~ ssList(X4)
| ~ ssList(X5) ),
inference(subsumption_resolution,[],[f623,f614]) ).
fof(f623,plain,
! [X4,X5] :
( ~ leq(sK43,sK46(sK43,X4,X5))
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssItem(sK43)
| sK39 != app(app(X4,sF61),X5) ),
inference(superposition,[],[f473,f595]) ).
fof(f473,plain,
! [X10,X8,X9] :
( app(app(X9,cons(X8,nil)),X10) != sK39
| ~ ssList(X10)
| ~ leq(X8,sK46(X8,X9,X10))
| ~ ssList(X9)
| ~ ssItem(X8) ),
inference(cnf_transformation,[],[f311]) ).
fof(f634,plain,
! [X0] :
( leq(sK43,sK46(sK43,sK44,X0))
| sK39 != app(sF62,X0)
| ~ ssList(X0)
| ~ ssItem(sK46(sK43,sK44,X0))
| ~ memberP(sK45,sK46(sK43,sK44,X0)) ),
inference(subsumption_resolution,[],[f633,f631]) ).
fof(f631,plain,
! [X1] :
( memberP(sK44,sK46(sK43,sK44,X1))
| sK39 != app(sF62,X1)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f630,f618]) ).
fof(f630,plain,
! [X1] :
( ~ ssList(sK44)
| memberP(sK44,sK46(sK43,sK44,X1))
| ~ ssList(X1)
| sK39 != app(sF62,X1) ),
inference(superposition,[],[f626,f596]) ).
fof(f626,plain,
! [X6,X7] :
( sK39 != app(app(X6,sF61),X7)
| ~ ssList(X6)
| ~ ssList(X7)
| memberP(X6,sK46(sK43,X6,X7)) ),
inference(subsumption_resolution,[],[f624,f614]) ).
fof(f624,plain,
! [X6,X7] :
( sK39 != app(app(X6,sF61),X7)
| ~ ssItem(sK43)
| memberP(X6,sK46(sK43,X6,X7))
| ~ ssList(X6)
| ~ ssList(X7) ),
inference(superposition,[],[f472,f595]) ).
fof(f472,plain,
! [X10,X8,X9] :
( app(app(X9,cons(X8,nil)),X10) != sK39
| ~ ssList(X9)
| ~ ssList(X10)
| memberP(X9,sK46(X8,X9,X10))
| ~ ssItem(X8) ),
inference(cnf_transformation,[],[f311]) ).
fof(f633,plain,
! [X0] :
( ~ memberP(sK44,sK46(sK43,sK44,X0))
| ~ ssList(X0)
| ~ ssItem(sK46(sK43,sK44,X0))
| ~ memberP(sK45,sK46(sK43,sK44,X0))
| leq(sK43,sK46(sK43,sK44,X0))
| sK39 != app(sF62,X0) ),
inference(resolution,[],[f632,f619]) ).
fof(f619,plain,
! [X7] :
( ~ lt(sK43,X7)
| ~ ssItem(X7)
| ~ memberP(sK45,X7)
| leq(sK43,X7)
| ~ memberP(sK44,X7) ),
inference(subsumption_resolution,[],[f609,f478]) ).
fof(f609,plain,
! [X7] :
( ~ memberP(sK45,X7)
| leq(sK43,X7)
| ~ lt(sK43,X7)
| ~ ssItem(X7)
| ~ memberP(sK44,X7)
| nil = sK39 ),
inference(backward_demodulation,[],[f480,f471]) ).
fof(f480,plain,
! [X7] :
( leq(sK43,X7)
| ~ lt(sK43,X7)
| ~ memberP(sK45,X7)
| nil = sK41
| ~ ssItem(X7)
| ~ memberP(sK44,X7) ),
inference(cnf_transformation,[],[f311]) ).
fof(f632,plain,
! [X0] :
( lt(sK43,sK46(sK43,sK44,X0))
| ~ ssList(X0)
| sK39 != app(sF62,X0) ),
inference(subsumption_resolution,[],[f629,f618]) ).
fof(f629,plain,
! [X0] :
( sK39 != app(sF62,X0)
| ~ ssList(sK44)
| ~ ssList(X0)
| lt(sK43,sK46(sK43,sK44,X0)) ),
inference(superposition,[],[f627,f596]) ).
fof(f627,plain,
! [X0,X1] :
( sK39 != app(app(X0,sF61),X1)
| lt(sK43,sK46(sK43,X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f621,f614]) ).
fof(f621,plain,
! [X0,X1] :
( ~ ssList(X1)
| sK39 != app(app(X0,sF61),X1)
| ~ ssList(X0)
| ~ ssItem(sK43)
| lt(sK43,sK46(sK43,X0,X1)) ),
inference(superposition,[],[f475,f595]) ).
fof(f475,plain,
! [X10,X8,X9] :
( app(app(X9,cons(X8,nil)),X10) != sK39
| ~ ssItem(X8)
| ~ ssList(X10)
| ~ ssList(X9)
| lt(X8,sK46(X8,X9,X10)) ),
inference(cnf_transformation,[],[f311]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC242+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 18:37:05 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 % (15275)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.46 % (15267)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.47 % (15275)First to succeed.
% 0.19/0.49 % (15275)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (15275)------------------------------
% 0.19/0.49 % (15275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (15275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (15275)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (15275)Memory used [KB]: 1535
% 0.19/0.49 % (15275)Time elapsed: 0.081 s
% 0.19/0.49 % (15275)Instructions burned: 19 (million)
% 0.19/0.49 % (15275)------------------------------
% 0.19/0.49 % (15275)------------------------------
% 0.19/0.49 % (15247)Success in time 0.146 s
%------------------------------------------------------------------------------