TSTP Solution File: SWC421+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC421+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 : n006.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 18:43:46 EDT 2022
% Result : Theorem 3.58s 0.92s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 19
% Syntax : Number of formulae : 116 ( 17 unt; 0 def)
% Number of atoms : 737 ( 305 equ)
% Maximal formula atoms : 54 ( 6 avg)
% Number of connectives : 1037 ( 416 ~; 430 |; 157 &)
% ( 2 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 215 ( 166 !; 49 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2620,plain,
$false,
inference(subsumption_resolution,[],[f2619,f537]) ).
fof(f537,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f2619,plain,
~ ssList(nil),
inference(resolution,[],[f2453,f596]) ).
fof(f596,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f589]) ).
fof(f589,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f549]) ).
fof(f549,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f345]) ).
fof(f345,plain,
! [X0] :
( ! [X1] :
( ( ( X0 != X1
| ~ neq(X0,X1) )
& ( neq(X0,X1)
| X0 = X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ( X0 != X1
<=> neq(X0,X1) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( X0 != X1
<=> neq(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f2453,plain,
neq(nil,nil),
inference(backward_demodulation,[],[f608,f2448]) ).
fof(f2448,plain,
nil = sK26,
inference(subsumption_resolution,[],[f2447,f953]) ).
fof(f953,plain,
( sF60 = sK27
| nil = sK26 ),
inference(subsumption_resolution,[],[f952,f537]) ).
fof(f952,plain,
( nil = sK26
| ~ ssList(nil)
| sF60 = sK27 ),
inference(subsumption_resolution,[],[f950,f415]) ).
fof(f415,plain,
ssList(sK26),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
( ssList(sK27)
& neq(sK27,nil)
& ( nil = sK28
| nil != sK29 )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK27
| app(app(X6,cons(X4,nil)),X5) != sK26
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& sK28 = sK26
& sK29 = sK27
& ssList(sK29)
& ( ~ neq(sK29,nil)
| ( neq(sK28,nil)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ! [X10] :
( hd(sK28) != X10
| ~ neq(nil,sK28)
| ~ ssItem(X10)
| cons(X10,nil) != X9 )
| ~ ssList(X9)
| tl(sK28) != X8
| app(X8,X9) != X7
| ~ neq(nil,sK28) ) )
| sK29 = X7 ) ) )
& ssList(sK28)
& ssList(sK26) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27,sK28,sK29])],[f273,f277,f276,f275,f274]) ).
fof(f274,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( neq(X1,nil)
& ( nil = X2
| nil != X3 )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != X1
| app(app(X6,cons(X4,nil)),X5) != X0
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& X0 = X2
& X1 = X3
& ssList(X3)
& ( ~ neq(X3,nil)
| ( neq(X2,nil)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ! [X10] :
( hd(X2) != X10
| ~ neq(nil,X2)
| ~ ssItem(X10)
| cons(X10,nil) != X9 )
| ~ ssList(X9)
| tl(X2) != X8
| app(X8,X9) != X7
| ~ neq(nil,X2) ) )
| X3 = X7 ) ) ) )
& ssList(X2) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( neq(X1,nil)
& ( nil = X2
| nil != X3 )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != X1
| app(app(X6,cons(X4,nil)),X5) != sK26
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& sK26 = X2
& X1 = X3
& ssList(X3)
& ( ~ neq(X3,nil)
| ( neq(X2,nil)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ! [X10] :
( hd(X2) != X10
| ~ neq(nil,X2)
| ~ ssItem(X10)
| cons(X10,nil) != X9 )
| ~ ssList(X9)
| tl(X2) != X8
| app(X8,X9) != X7
| ~ neq(nil,X2) ) )
| X3 = X7 ) ) ) )
& ssList(X2) ) )
& ssList(sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f275,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( neq(X1,nil)
& ( nil = X2
| nil != X3 )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != X1
| app(app(X6,cons(X4,nil)),X5) != sK26
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& sK26 = X2
& X1 = X3
& ssList(X3)
& ( ~ neq(X3,nil)
| ( neq(X2,nil)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ! [X10] :
( hd(X2) != X10
| ~ neq(nil,X2)
| ~ ssItem(X10)
| cons(X10,nil) != X9 )
| ~ ssList(X9)
| tl(X2) != X8
| app(X8,X9) != X7
| ~ neq(nil,X2) ) )
| X3 = X7 ) ) ) )
& ssList(X2) ) )
=> ( ssList(sK27)
& ? [X2] :
( ? [X3] :
( neq(sK27,nil)
& ( nil = X2
| nil != X3 )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK27
| app(app(X6,cons(X4,nil)),X5) != sK26
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& sK26 = X2
& sK27 = X3
& ssList(X3)
& ( ~ neq(X3,nil)
| ( neq(X2,nil)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ! [X10] :
( hd(X2) != X10
| ~ neq(nil,X2)
| ~ ssItem(X10)
| cons(X10,nil) != X9 )
| ~ ssList(X9)
| tl(X2) != X8
| app(X8,X9) != X7
| ~ neq(nil,X2) ) )
| X3 = X7 ) ) ) )
& ssList(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f276,plain,
( ? [X2] :
( ? [X3] :
( neq(sK27,nil)
& ( nil = X2
| nil != X3 )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK27
| app(app(X6,cons(X4,nil)),X5) != sK26
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& sK26 = X2
& sK27 = X3
& ssList(X3)
& ( ~ neq(X3,nil)
| ( neq(X2,nil)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ! [X10] :
( hd(X2) != X10
| ~ neq(nil,X2)
| ~ ssItem(X10)
| cons(X10,nil) != X9 )
| ~ ssList(X9)
| tl(X2) != X8
| app(X8,X9) != X7
| ~ neq(nil,X2) ) )
| X3 = X7 ) ) ) )
& ssList(X2) )
=> ( ? [X3] :
( neq(sK27,nil)
& ( nil = sK28
| nil != X3 )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK27
| app(app(X6,cons(X4,nil)),X5) != sK26
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& sK28 = sK26
& sK27 = X3
& ssList(X3)
& ( ~ neq(X3,nil)
| ( neq(sK28,nil)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ! [X10] :
( hd(sK28) != X10
| ~ neq(nil,sK28)
| ~ ssItem(X10)
| cons(X10,nil) != X9 )
| ~ ssList(X9)
| tl(sK28) != X8
| app(X8,X9) != X7
| ~ neq(nil,sK28) ) )
| X3 = X7 ) ) ) )
& ssList(sK28) ) ),
introduced(choice_axiom,[]) ).
fof(f277,plain,
( ? [X3] :
( neq(sK27,nil)
& ( nil = sK28
| nil != X3 )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK27
| app(app(X6,cons(X4,nil)),X5) != sK26
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& sK28 = sK26
& sK27 = X3
& ssList(X3)
& ( ~ neq(X3,nil)
| ( neq(sK28,nil)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ! [X10] :
( hd(sK28) != X10
| ~ neq(nil,sK28)
| ~ ssItem(X10)
| cons(X10,nil) != X9 )
| ~ ssList(X9)
| tl(sK28) != X8
| app(X8,X9) != X7
| ~ neq(nil,sK28) ) )
| X3 = X7 ) ) ) )
=> ( neq(sK27,nil)
& ( nil = sK28
| nil != sK29 )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK27
| app(app(X6,cons(X4,nil)),X5) != sK26
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& sK28 = sK26
& sK29 = sK27
& ssList(sK29)
& ( ~ neq(sK29,nil)
| ( neq(sK28,nil)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ! [X10] :
( hd(sK28) != X10
| ~ neq(nil,sK28)
| ~ ssItem(X10)
| cons(X10,nil) != X9 )
| ~ ssList(X9)
| tl(sK28) != X8
| app(X8,X9) != X7
| ~ neq(nil,sK28) ) )
| sK29 = X7 ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f273,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( neq(X1,nil)
& ( nil = X2
| nil != X3 )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != X1
| app(app(X6,cons(X4,nil)),X5) != X0
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& X0 = X2
& X1 = X3
& ssList(X3)
& ( ~ neq(X3,nil)
| ( neq(X2,nil)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( ! [X10] :
( hd(X2) != X10
| ~ neq(nil,X2)
| ~ ssItem(X10)
| cons(X10,nil) != X9 )
| ~ ssList(X9)
| tl(X2) != X8
| app(X8,X9) != X7
| ~ neq(nil,X2) ) )
| X3 = X7 ) ) ) )
& ssList(X2) ) )
& ssList(X0) ),
inference(rectify,[],[f162]) ).
fof(f162,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( neq(X1,nil)
& ( nil = X2
| nil != X3 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X9,cons(X8,nil)),X10) != X1
| app(app(X10,cons(X8,nil)),X9) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& X0 = X2
& X1 = X3
& ssList(X3)
& ( ~ neq(X3,nil)
| ( neq(X2,nil)
& ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ! [X7] :
( hd(X2) != X7
| ~ neq(nil,X2)
| ~ ssItem(X7)
| cons(X7,nil) != X6 )
| ~ ssList(X6)
| tl(X2) != X5
| app(X5,X6) != X4
| ~ neq(nil,X2) ) )
| X3 = X4 ) ) ) )
& ssList(X2) ) )
& ssList(X0) ),
inference(flattening,[],[f161]) ).
fof(f161,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& neq(X1,nil)
& ( nil = X2
| nil != X3 )
& ( ~ neq(X3,nil)
| ( neq(X2,nil)
& ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ! [X7] :
( hd(X2) != X7
| ~ neq(nil,X2)
| ~ ssItem(X7)
| cons(X7,nil) != X6 )
| ~ ssList(X6)
| tl(X2) != X5
| app(X5,X6) != X4
| ~ neq(nil,X2) ) )
| X3 = X4 ) ) )
& X0 = X2
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X9,cons(X8,nil)),X10) != X1
| app(app(X10,cons(X8,nil)),X9) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& 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)
=> ( X1 != X3
| ~ neq(X1,nil)
| ( nil = X3
& nil != X2 )
| ( neq(X3,nil)
& ( ~ neq(X2,nil)
| ? [X4] :
( ssList(X4)
& X3 != X4
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ? [X7] :
( cons(X7,nil) = X6
& hd(X2) = X7
& ssItem(X7)
& neq(nil,X2) )
& app(X5,X6) = X4
& tl(X2) = X5
& ssList(X6)
& neq(nil,X2) ) ) ) ) )
| X0 != X2
| ? [X8] :
( ? [X9] :
( ssList(X9)
& ? [X10] :
( app(app(X9,cons(X8,nil)),X10) = X1
& app(app(X10,cons(X8,nil)),X9) = X0
& ssList(X10) ) )
& ssItem(X8) ) ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| ( nil = X3
& nil != X2 )
| ~ neq(X1,nil)
| ( neq(X3,nil)
& ( ~ neq(X2,nil)
| ? [X7] :
( X3 != X7
& ssList(X7)
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ? [X10] :
( ssItem(X10)
& cons(X10,nil) = X9
& neq(nil,X2)
& hd(X2) = X10 )
& ssList(X9)
& neq(nil,X2)
& app(X8,X9) = X7
& tl(X2) = X8 ) ) ) ) )
| X1 != X3
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X1
& app(app(X6,cons(X4,nil)),X5) = X0
& ssList(X6) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| ( nil = X3
& nil != X2 )
| ~ neq(X1,nil)
| ( neq(X3,nil)
& ( ~ neq(X2,nil)
| ? [X7] :
( X3 != X7
& ssList(X7)
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ? [X10] :
( ssItem(X10)
& cons(X10,nil) = X9
& neq(nil,X2)
& hd(X2) = X10 )
& ssList(X9)
& neq(nil,X2)
& app(X8,X9) = X7
& tl(X2) = X8 ) ) ) ) )
| X1 != X3
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X1
& app(app(X6,cons(X4,nil)),X5) = X0
& ssList(X6) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f950,plain,
( nil = sK26
| ~ ssList(sK26)
| sF60 = sK27
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f948]) ).
fof(f948,plain,
( sF60 = sK27
| nil = sK26
| ~ ssList(sK26)
| nil = sK26
| ~ ssList(nil) ),
inference(resolution,[],[f548,f729]) ).
fof(f729,plain,
( ~ neq(nil,sK26)
| nil = sK26
| sF60 = sK27 ),
inference(subsumption_resolution,[],[f728,f718]) ).
fof(f718,plain,
( ssList(sF59)
| nil = sK26 ),
inference(resolution,[],[f717,f690]) ).
fof(f690,plain,
( ~ ssItem(sF58)
| ssList(sF59) ),
inference(subsumption_resolution,[],[f689,f537]) ).
fof(f689,plain,
( ~ ssList(nil)
| ~ ssItem(sF58)
| ssList(sF59) ),
inference(superposition,[],[f386,f593]) ).
fof(f593,plain,
cons(sF58,nil) = sF59,
introduced(function_definition,[]) ).
fof(f386,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f717,plain,
( ssItem(sF58)
| nil = sK26 ),
inference(subsumption_resolution,[],[f716,f415]) ).
fof(f716,plain,
( ssItem(sF58)
| nil = sK26
| ~ ssList(sK26) ),
inference(superposition,[],[f498,f609]) ).
fof(f609,plain,
hd(sK26) = sF58,
inference(forward_demodulation,[],[f592,f421]) ).
fof(f421,plain,
sK28 = sK26,
inference(cnf_transformation,[],[f278]) ).
fof(f592,plain,
hd(sK28) = sF58,
introduced(function_definition,[]) ).
fof(f498,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ssItem(hd(X0)) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f728,plain,
( ~ neq(nil,sK26)
| ~ ssList(sF59)
| sF60 = sK27
| nil = sK26 ),
inference(subsumption_resolution,[],[f727,f717]) ).
fof(f727,plain,
( sF60 = sK27
| nil = sK26
| ~ ssList(sF59)
| ~ ssItem(sF58)
| ~ neq(nil,sK26) ),
inference(subsumption_resolution,[],[f724,f700]) ).
fof(f700,plain,
( ssList(sF57)
| nil = sK26 ),
inference(subsumption_resolution,[],[f699,f415]) ).
fof(f699,plain,
( ~ ssList(sK26)
| ssList(sF57)
| nil = sK26 ),
inference(superposition,[],[f413,f605]) ).
fof(f605,plain,
tl(sK26) = sF57,
inference(forward_demodulation,[],[f591,f421]) ).
fof(f591,plain,
tl(sK28) = sF57,
introduced(function_definition,[]) ).
fof(f413,plain,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f724,plain,
( sF60 = sK27
| ~ ssList(sF59)
| ~ ssItem(sF58)
| ~ ssList(sF57)
| nil = sK26
| ~ neq(nil,sK26) ),
inference(resolution,[],[f723,f613]) ).
fof(f613,plain,
( ~ ssList(sF60)
| ~ ssList(sF59)
| ~ neq(nil,sK26)
| ~ ssItem(sF58)
| ~ ssList(sF57)
| sF60 = sK27 ),
inference(forward_demodulation,[],[f612,f421]) ).
fof(f612,plain,
( ~ ssList(sF57)
| ~ ssList(sF60)
| ~ ssList(sF59)
| sF60 = sK27
| ~ ssItem(sF58)
| ~ neq(nil,sK28) ),
inference(forward_demodulation,[],[f611,f420]) ).
fof(f420,plain,
sK29 = sK27,
inference(cnf_transformation,[],[f278]) ).
fof(f611,plain,
( ~ ssList(sF57)
| ~ ssList(sF60)
| ~ ssList(sF59)
| sF60 = sK29
| ~ ssItem(sF58)
| ~ neq(nil,sK28) ),
inference(subsumption_resolution,[],[f610,f424]) ).
fof(f424,plain,
neq(sK27,nil),
inference(cnf_transformation,[],[f278]) ).
fof(f610,plain,
( ~ ssList(sF57)
| sF60 = sK29
| ~ neq(nil,sK28)
| ~ ssItem(sF58)
| ~ ssList(sF60)
| ~ neq(sK27,nil)
| ~ ssList(sF59) ),
inference(forward_demodulation,[],[f600,f420]) ).
fof(f600,plain,
( ~ ssList(sF57)
| ~ neq(sK29,nil)
| ~ neq(nil,sK28)
| ~ ssList(sF60)
| sF60 = sK29
| ~ ssList(sF59)
| ~ ssItem(sF58) ),
inference(duplicate_literal_removal,[],[f595]) ).
fof(f595,plain,
( ~ ssList(sF60)
| ~ neq(sK29,nil)
| ~ ssItem(sF58)
| ~ neq(nil,sK28)
| ~ ssList(sF57)
| ~ ssList(sF59)
| ~ neq(nil,sK28)
| sF60 = sK29 ),
inference(definition_folding,[],[f574,f594,f593,f592,f591,f593,f592,f592,f591,f594,f593,f592,f591]) ).
fof(f594,plain,
sF60 = app(sF57,sF59),
introduced(function_definition,[]) ).
fof(f574,plain,
( ~ neq(sK29,nil)
| ~ ssList(app(tl(sK28),cons(hd(sK28),nil)))
| ~ ssList(tl(sK28))
| ~ neq(nil,sK28)
| ~ ssItem(hd(sK28))
| ~ ssList(cons(hd(sK28),nil))
| ~ neq(nil,sK28)
| app(tl(sK28),cons(hd(sK28),nil)) = sK29 ),
inference(equality_resolution,[],[f573]) ).
fof(f573,plain,
! [X7] :
( ~ neq(sK29,nil)
| ~ ssList(X7)
| ~ ssList(tl(sK28))
| ~ neq(nil,sK28)
| ~ ssItem(hd(sK28))
| ~ ssList(cons(hd(sK28),nil))
| app(tl(sK28),cons(hd(sK28),nil)) != X7
| ~ neq(nil,sK28)
| sK29 = X7 ),
inference(equality_resolution,[],[f572]) ).
fof(f572,plain,
! [X8,X7] :
( ~ neq(sK29,nil)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ neq(nil,sK28)
| ~ ssItem(hd(sK28))
| ~ ssList(cons(hd(sK28),nil))
| tl(sK28) != X8
| app(X8,cons(hd(sK28),nil)) != X7
| ~ neq(nil,sK28)
| sK29 = X7 ),
inference(equality_resolution,[],[f571]) ).
fof(f571,plain,
! [X8,X9,X7] :
( ~ neq(sK29,nil)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ neq(nil,sK28)
| ~ ssItem(hd(sK28))
| cons(hd(sK28),nil) != X9
| ~ ssList(X9)
| tl(sK28) != X8
| app(X8,X9) != X7
| ~ neq(nil,sK28)
| sK29 = X7 ),
inference(equality_resolution,[],[f417]) ).
fof(f417,plain,
! [X10,X8,X9,X7] :
( ~ neq(sK29,nil)
| ~ ssList(X7)
| ~ ssList(X8)
| hd(sK28) != X10
| ~ neq(nil,sK28)
| ~ ssItem(X10)
| cons(X10,nil) != X9
| ~ ssList(X9)
| tl(sK28) != X8
| app(X8,X9) != X7
| ~ neq(nil,sK28)
| sK29 = X7 ),
inference(cnf_transformation,[],[f278]) ).
fof(f723,plain,
( ssList(sF60)
| nil = sK26 ),
inference(subsumption_resolution,[],[f720,f700]) ).
fof(f720,plain,
( nil = sK26
| ~ ssList(sF57)
| ssList(sF60) ),
inference(resolution,[],[f718,f711]) ).
fof(f711,plain,
( ~ ssList(sF59)
| ~ ssList(sF57)
| ssList(sF60) ),
inference(superposition,[],[f426,f594]) ).
fof(f426,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f548,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f345]) ).
fof(f2447,plain,
( nil = sK26
| sF60 != sK27 ),
inference(duplicate_literal_removal,[],[f2445]) ).
fof(f2445,plain,
( nil = sK26
| sF60 != sK27
| nil = sK26 ),
inference(superposition,[],[f2297,f725]) ).
fof(f725,plain,
( sF60 = app(sF60,nil)
| nil = sK26 ),
inference(resolution,[],[f723,f453]) ).
fof(f453,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
fof(f2297,plain,
( app(sF60,nil) != sK27
| nil = sK26 ),
inference(forward_demodulation,[],[f2296,f594]) ).
fof(f2296,plain,
( app(app(sF57,sF59),nil) != sK27
| nil = sK26 ),
inference(subsumption_resolution,[],[f2295,f1112]) ).
fof(f1112,plain,
( cons(sF58,sF57) = sK26
| nil = sK26 ),
inference(forward_demodulation,[],[f1111,f609]) ).
fof(f1111,plain,
( sK26 = cons(hd(sK26),sF57)
| nil = sK26 ),
inference(forward_demodulation,[],[f1094,f605]) ).
fof(f1094,plain,
( cons(hd(sK26),tl(sK26)) = sK26
| nil = sK26 ),
inference(resolution,[],[f435,f415]) ).
fof(f435,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(flattening,[],[f169]) ).
fof(f169,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
fof(f2295,plain,
( cons(sF58,sF57) != sK26
| nil = sK26
| app(app(sF57,sF59),nil) != sK27 ),
inference(subsumption_resolution,[],[f2282,f700]) ).
fof(f2282,plain,
( ~ ssList(sF57)
| cons(sF58,sF57) != sK26
| app(app(sF57,sF59),nil) != sK27
| nil = sK26 ),
inference(duplicate_literal_removal,[],[f2271]) ).
fof(f2271,plain,
( nil = sK26
| ~ ssList(sF57)
| nil = sK26
| app(app(sF57,sF59),nil) != sK27
| cons(sF58,sF57) != sK26 ),
inference(superposition,[],[f741,f1701]) ).
fof(f1701,plain,
( app(sF59,sF57) = cons(sF58,sF57)
| nil = sK26 ),
inference(duplicate_literal_removal,[],[f1695]) ).
fof(f1695,plain,
( app(sF59,sF57) = cons(sF58,sF57)
| nil = sK26
| nil = sK26 ),
inference(resolution,[],[f1261,f700]) ).
fof(f1261,plain,
! [X38] :
( ~ ssList(X38)
| nil = sK26
| cons(sF58,X38) = app(sF59,X38) ),
inference(forward_demodulation,[],[f1260,f593]) ).
fof(f1260,plain,
! [X38] :
( nil = sK26
| cons(sF58,X38) = app(cons(sF58,nil),X38)
| ~ ssList(X38) ),
inference(resolution,[],[f465,f717]) ).
fof(f465,plain,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f741,plain,
! [X0] :
( sK26 != app(sF59,X0)
| app(app(X0,sF59),nil) != sK27
| ~ ssList(X0)
| nil = sK26 ),
inference(subsumption_resolution,[],[f739,f537]) ).
fof(f739,plain,
! [X0] :
( nil = sK26
| app(app(X0,sF59),nil) != sK27
| ~ ssList(X0)
| sK26 != app(sF59,X0)
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f737]) ).
fof(f737,plain,
! [X0] :
( app(app(X0,sF59),nil) != sK27
| sK26 != app(sF59,X0)
| ~ ssList(nil)
| nil = sK26
| nil = sK26
| ~ ssList(X0) ),
inference(superposition,[],[f719,f722]) ).
fof(f722,plain,
( app(nil,sF59) = sF59
| nil = sK26 ),
inference(resolution,[],[f718,f406]) ).
fof(f406,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f719,plain,
! [X0,X1] :
( app(app(X1,sF59),X0) != sK26
| ~ ssList(X1)
| nil = sK26
| ~ ssList(X0)
| app(app(X0,sF59),X1) != sK27 ),
inference(resolution,[],[f717,f619]) ).
fof(f619,plain,
! [X0,X1] :
( ~ ssItem(sF58)
| ~ ssList(X1)
| ~ ssList(X0)
| app(app(X1,sF59),X0) != sK27
| app(app(X0,sF59),X1) != sK26 ),
inference(superposition,[],[f422,f593]) ).
fof(f422,plain,
! [X6,X4,X5] :
( app(app(X6,cons(X4,nil)),X5) != sK26
| app(app(X5,cons(X4,nil)),X6) != sK27
| ~ ssList(X5)
| ~ ssItem(X4)
| ~ ssList(X6) ),
inference(cnf_transformation,[],[f278]) ).
fof(f608,plain,
neq(sK26,nil),
inference(subsumption_resolution,[],[f607,f424]) ).
fof(f607,plain,
( ~ neq(sK27,nil)
| neq(sK26,nil) ),
inference(backward_demodulation,[],[f604,f420]) ).
fof(f604,plain,
( neq(sK26,nil)
| ~ neq(sK29,nil) ),
inference(backward_demodulation,[],[f418,f421]) ).
fof(f418,plain,
( ~ neq(sK29,nil)
| neq(sK28,nil) ),
inference(cnf_transformation,[],[f278]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWC421+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.28 % Computer : n006.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Tue Aug 30 18:53:54 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.14/0.42 % (22637)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.44 % (22637)Instruction limit reached!
% 0.14/0.44 % (22637)------------------------------
% 0.14/0.44 % (22637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.44 % (22638)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.45 % (22659)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.14/0.45 % (22637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.45 % (22637)Termination reason: Unknown
% 0.14/0.45 % (22637)Termination phase: Property scanning
% 0.14/0.45
% 0.14/0.45 % (22637)Memory used [KB]: 1279
% 0.14/0.45 % (22637)Time elapsed: 0.007 s
% 0.14/0.45 % (22637)Instructions burned: 7 (million)
% 0.14/0.45 % (22637)------------------------------
% 0.14/0.45 % (22637)------------------------------
% 0.14/0.46 % (22635)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.14/0.46 % (22648)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.46 % (22641)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.47 % (22638)Instruction limit reached!
% 0.14/0.47 % (22638)------------------------------
% 0.14/0.47 % (22638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 % (22638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (22638)Termination reason: Unknown
% 0.14/0.47 % (22638)Termination phase: shuffling
% 0.14/0.47
% 0.14/0.47 % (22638)Memory used [KB]: 1023
% 0.14/0.47 % (22638)Time elapsed: 0.004 s
% 0.14/0.47 % (22638)Instructions burned: 3 (million)
% 0.14/0.47 % (22638)------------------------------
% 0.14/0.47 % (22638)------------------------------
% 0.14/0.47 % (22640)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.47 % (22631)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.47 % (22634)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.47 % (22639)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.48 % (22657)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)
% 0.14/0.48 % (22647)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.14/0.48 % (22643)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.48 % (22632)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.48 % (22655)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.14/0.49 % (22630)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.14/0.49 % (22644)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.14/0.49 % (22645)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.14/0.49 % (22633)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.50 % (22649)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)
% 0.14/0.50 % (22654)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.14/0.50 % (22636)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.50 % (22652)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.14/0.51 % (22651)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.14/0.51 % (22642)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.14/0.51 % (22650)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.14/0.51 % (22656)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.14/0.51 % (22658)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.14/0.52 % (22646)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.52 % (22653)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.14/0.53 % (22631)Refutation not found, incomplete strategy% (22631)------------------------------
% 0.14/0.53 % (22631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.53 % (22631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.53 % (22631)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.53
% 0.14/0.53 % (22631)Memory used [KB]: 6012
% 0.14/0.53 % (22631)Time elapsed: 0.184 s
% 0.14/0.53 % (22631)Instructions burned: 21 (million)
% 0.14/0.53 % (22631)------------------------------
% 0.14/0.53 % (22631)------------------------------
% 1.76/0.55 TRYING [1]
% 1.76/0.55 TRYING [2]
% 1.76/0.55 % (22639)Instruction limit reached!
% 1.76/0.55 % (22639)------------------------------
% 1.76/0.55 % (22639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.56 TRYING [1]
% 1.76/0.56 TRYING [2]
% 2.01/0.56 TRYING [1]
% 2.01/0.56 TRYING [2]
% 2.01/0.58 % (22632)Instruction limit reached!
% 2.01/0.58 % (22632)------------------------------
% 2.01/0.58 % (22632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.58 % (22632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.58 % (22632)Termination reason: Unknown
% 2.01/0.58 % (22632)Termination phase: Saturation
% 2.01/0.58
% 2.01/0.58 % (22632)Memory used [KB]: 1791
% 2.01/0.58 % (22632)Time elapsed: 0.222 s
% 2.01/0.58 % (22632)Instructions burned: 38 (million)
% 2.01/0.58 % (22632)------------------------------
% 2.01/0.58 % (22632)------------------------------
% 2.01/0.58 % (22639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.58 % (22639)Termination reason: Unknown
% 2.01/0.58 % (22639)Termination phase: Saturation
% 2.01/0.58
% 2.01/0.58 % (22639)Memory used [KB]: 2174
% 2.01/0.58 % (22639)Time elapsed: 0.202 s
% 2.01/0.58 % (22639)Instructions burned: 51 (million)
% 2.01/0.58 % (22639)------------------------------
% 2.01/0.58 % (22639)------------------------------
% 2.01/0.58 % (22635)Instruction limit reached!
% 2.01/0.58 % (22635)------------------------------
% 2.01/0.58 % (22635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.58 % (22635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.58 % (22635)Termination reason: Unknown
% 2.01/0.58 % (22635)Termination phase: Saturation
% 2.01/0.58
% 2.01/0.58 % (22635)Memory used [KB]: 6268
% 2.01/0.58 % (22635)Time elapsed: 0.241 s
% 2.01/0.58 % (22635)Instructions burned: 48 (million)
% 2.01/0.58 % (22635)------------------------------
% 2.01/0.58 % (22635)------------------------------
% 2.01/0.60 % (22647)Instruction limit reached!
% 2.01/0.60 % (22647)------------------------------
% 2.01/0.60 % (22647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.60 % (22647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.60 % (22647)Termination reason: Unknown
% 2.01/0.60 % (22647)Termination phase: Finite model building constraint generation
% 2.01/0.60
% 2.01/0.60 % (22647)Memory used [KB]: 7419
% 2.01/0.60 % (22647)Time elapsed: 0.215 s
% 2.01/0.60 % (22647)Instructions burned: 60 (million)
% 2.01/0.60 % (22647)------------------------------
% 2.01/0.60 % (22647)------------------------------
% 2.01/0.60 % (22640)Instruction limit reached!
% 2.01/0.60 % (22640)------------------------------
% 2.01/0.60 % (22640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.60 % (22640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.60 % (22640)Termination reason: Unknown
% 2.01/0.60 % (22640)Termination phase: Saturation
% 2.01/0.60
% 2.01/0.60 % (22640)Memory used [KB]: 6524
% 2.01/0.60 % (22640)Time elapsed: 0.248 s
% 2.01/0.60 % (22640)Instructions burned: 50 (million)
% 2.01/0.60 % (22640)------------------------------
% 2.01/0.60 % (22640)------------------------------
% 2.01/0.60 % (22634)Instruction limit reached!
% 2.01/0.60 % (22634)------------------------------
% 2.01/0.60 % (22634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.60 % (22634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.60 % (22634)Termination reason: Unknown
% 2.01/0.60 % (22634)Termination phase: Saturation
% 2.01/0.60
% 2.01/0.60 % (22634)Memory used [KB]: 6652
% 2.01/0.60 % (22634)Time elapsed: 0.265 s
% 2.01/0.60 % (22634)Instructions burned: 52 (million)
% 2.01/0.60 % (22634)------------------------------
% 2.01/0.60 % (22634)------------------------------
% 2.01/0.61 TRYING [3]
% 2.01/0.61 % (22644)Instruction limit reached!
% 2.01/0.61 % (22644)------------------------------
% 2.01/0.61 % (22644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.61 % (22636)Instruction limit reached!
% 2.01/0.61 % (22636)------------------------------
% 2.01/0.61 % (22636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.61 % (22636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.61 % (22636)Termination reason: Unknown
% 2.01/0.61 % (22636)Termination phase: Finite model building constraint generation
% 2.01/0.61
% 2.01/0.61 % (22636)Memory used [KB]: 7164
% 2.01/0.61 % (22636)Time elapsed: 0.188 s
% 2.01/0.61 % (22636)Instructions burned: 51 (million)
% 2.01/0.61 % (22636)------------------------------
% 2.01/0.61 % (22636)------------------------------
% 2.01/0.61 % (22633)Instruction limit reached!
% 2.01/0.61 % (22633)------------------------------
% 2.01/0.61 % (22633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.62 % (22633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.62 % (22633)Termination reason: Unknown
% 2.01/0.62 % (22633)Termination phase: Saturation
% 2.01/0.62
% 2.01/0.62 % (22633)Memory used [KB]: 6652
% 2.01/0.62 % (22633)Time elapsed: 0.252 s
% 2.01/0.62 % (22633)Instructions burned: 51 (million)
% 2.01/0.62 % (22633)------------------------------
% 2.01/0.62 % (22633)------------------------------
% 2.01/0.63 % (22644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.63 % (22644)Termination reason: Unknown
% 2.01/0.63 % (22644)Termination phase: Saturation
% 2.01/0.63
% 2.01/0.63 % (22644)Memory used [KB]: 7036
% 2.01/0.63 % (22644)Time elapsed: 0.058 s
% 2.01/0.63 % (22644)Instructions burned: 69 (million)
% 2.01/0.63 % (22644)------------------------------
% 2.01/0.63 % (22644)------------------------------
% 2.67/0.65 % (22661)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.67/0.66 % (22656)Instruction limit reached!
% 2.67/0.66 % (22656)------------------------------
% 2.67/0.66 % (22656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.67/0.67 % (22660)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.67/0.68 % (22656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.67/0.68 % (22656)Termination reason: Unknown
% 2.67/0.68 % (22656)Termination phase: Saturation
% 2.67/0.68
% 2.67/0.68 % (22656)Memory used [KB]: 7036
% 2.67/0.68 % (22656)Time elapsed: 0.051 s
% 2.67/0.68 % (22656)Instructions burned: 69 (million)
% 2.67/0.68 % (22656)------------------------------
% 2.67/0.68 % (22656)------------------------------
% 2.89/0.69 % (22645)Instruction limit reached!
% 2.89/0.69 % (22645)------------------------------
% 2.89/0.69 % (22645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.69 % (22645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.69 % (22645)Termination reason: Unknown
% 2.89/0.69 % (22645)Termination phase: Saturation
% 2.89/0.69
% 2.89/0.69 % (22645)Memory used [KB]: 2430
% 2.89/0.69 % (22645)Time elapsed: 0.351 s
% 2.89/0.69 % (22645)Instructions burned: 75 (million)
% 2.89/0.69 % (22645)------------------------------
% 2.89/0.69 % (22645)------------------------------
% 2.89/0.70 % (22649)Instruction limit reached!
% 2.89/0.70 % (22649)------------------------------
% 2.89/0.70 % (22649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.70 % (22649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.70 % (22649)Termination reason: Unknown
% 2.89/0.70 % (22649)Termination phase: Saturation
% 2.89/0.70
% 2.89/0.70 % (22649)Memory used [KB]: 2558
% 2.89/0.70 % (22649)Time elapsed: 0.356 s
% 2.89/0.70 % (22649)Instructions burned: 100 (million)
% 2.89/0.70 % (22649)------------------------------
% 2.89/0.70 % (22649)------------------------------
% 2.89/0.71 % (22641)Instruction limit reached!
% 2.89/0.71 % (22641)------------------------------
% 2.89/0.71 % (22641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.71 % (22641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.71 % (22641)Termination reason: Unknown
% 2.89/0.71 % (22641)Termination phase: Saturation
% 2.89/0.71
% 2.89/0.71 % (22641)Memory used [KB]: 7803
% 2.89/0.71 % (22641)Time elapsed: 0.364 s
% 2.89/0.71 % (22641)Instructions burned: 100 (million)
% 2.89/0.71 % (22641)------------------------------
% 2.89/0.71 % (22641)------------------------------
% 2.89/0.72 % (22643)Instruction limit reached!
% 2.89/0.72 % (22643)------------------------------
% 2.89/0.72 % (22643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.72 % (22643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.72 % (22643)Termination reason: Unknown
% 2.89/0.72 % (22643)Termination phase: Saturation
% 2.89/0.72
% 2.89/0.72 % (22643)Memory used [KB]: 7291
% 2.89/0.72 % (22643)Time elapsed: 0.334 s
% 2.89/0.72 % (22643)Instructions burned: 100 (million)
% 2.89/0.72 % (22643)------------------------------
% 2.89/0.72 % (22643)------------------------------
% 2.89/0.72 % (22648)Instruction limit reached!
% 2.89/0.72 % (22648)------------------------------
% 2.89/0.72 % (22648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.72 % (22648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.72 % (22648)Termination reason: Unknown
% 2.89/0.72 % (22648)Termination phase: Saturation
% 2.89/0.72
% 2.89/0.72 % (22648)Memory used [KB]: 7547
% 2.89/0.72 % (22648)Time elapsed: 0.383 s
% 2.89/0.72 % (22648)Instructions burned: 101 (million)
% 2.89/0.72 % (22648)------------------------------
% 2.89/0.72 % (22648)------------------------------
% 2.89/0.73 TRYING [4]
% 2.89/0.73 % (22646)Instruction limit reached!
% 2.89/0.73 % (22646)------------------------------
% 2.89/0.73 % (22646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.89/0.73 % (22646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.89/0.73 % (22646)Termination reason: Unknown
% 2.89/0.73 % (22646)Termination phase: Saturation
% 2.89/0.73
% 2.89/0.73 % (22646)Memory used [KB]: 6908
% 2.89/0.73 % (22646)Time elapsed: 0.378 s
% 2.89/0.73 % (22646)Instructions burned: 99 (million)
% 2.89/0.73 % (22646)------------------------------
% 2.89/0.73 % (22646)------------------------------
% 3.19/0.75 % (22662)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 3.19/0.77 % (22664)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 3.19/0.77 % (22666)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.19/0.78 % (22642)Instruction limit reached!
% 3.19/0.78 % (22642)------------------------------
% 3.19/0.78 % (22642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.19/0.78 % (22642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.19/0.78 % (22642)Termination reason: Unknown
% 3.19/0.78 % (22642)Termination phase: Saturation
% 3.19/0.78
% 3.19/0.78 % (22642)Memory used [KB]: 7547
% 3.19/0.78 % (22642)Time elapsed: 0.405 s
% 3.19/0.78 % (22642)Instructions burned: 102 (million)
% 3.19/0.78 % (22642)------------------------------
% 3.19/0.78 % (22642)------------------------------
% 3.42/0.82 % (22668)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.42/0.82 % (22665)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 3.42/0.82 % (22663)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.42/0.83 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.42/0.83 % (22669)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.42/0.83 % (22667)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.42/0.84 % (22670)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.42/0.84 % (22672)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 3.42/0.85 % (22671)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 3.58/0.87 % (22651)Instruction limit reached!
% 3.58/0.87 % (22651)------------------------------
% 3.58/0.87 % (22651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.58/0.87 % (22651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.58/0.87 % (22651)Termination reason: Unknown
% 3.58/0.87 % (22651)Termination phase: Saturation
% 3.58/0.87
% 3.58/0.87 % (22651)Memory used [KB]: 7419
% 3.58/0.87 % (22651)Time elapsed: 0.522 s
% 3.58/0.87 % (22651)Instructions burned: 138 (million)
% 3.58/0.87 % (22651)------------------------------
% 3.58/0.87 % (22651)------------------------------
% 3.58/0.87 % (22676)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 3.58/0.90 % (22678)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/1824Mi)
% 3.58/0.91 % (22673)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 3.58/0.91 % (22657)First to succeed.
% 3.58/0.92 % (22657)Refutation found. Thanks to Tanya!
% 3.58/0.92 % SZS status Theorem for theBenchmark
% 3.58/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/0.92 % (22657)------------------------------
% 3.58/0.92 % (22657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.58/0.92 % (22657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.58/0.92 % (22657)Termination reason: Refutation
% 3.58/0.92
% 3.58/0.92 % (22657)Memory used [KB]: 3198
% 3.58/0.92 % (22657)Time elapsed: 0.573 s
% 3.58/0.92 % (22657)Instructions burned: 167 (million)
% 3.58/0.92 % (22657)------------------------------
% 3.58/0.92 % (22657)------------------------------
% 3.58/0.92 % (22629)Success in time 0.631 s
%------------------------------------------------------------------------------