TSTP Solution File: SWC204+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC204+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 : n008.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 18:42:23 EDT 2022
% Result : Theorem 2.09s 0.65s
% Output : Refutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of formulae : 95 ( 18 unt; 0 def)
% Number of atoms : 444 ( 161 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 560 ( 211 ~; 222 |; 100 &)
% ( 2 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 99 ( 71 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1160,plain,
$false,
inference(subsumption_resolution,[],[f1152,f805]) ).
fof(f805,plain,
~ neq(nil,nil),
inference(subsumption_resolution,[],[f800,f595]) ).
fof(f595,plain,
neq(sK47,nil),
inference(duplicate_literal_removal,[],[f518]) ).
fof(f518,plain,
( neq(sK47,nil)
| neq(sK47,nil) ),
inference(cnf_transformation,[],[f329]) ).
fof(f329,plain,
( ssList(sK47)
& sK48 = sK46
& ( ( neq(sK47,nil)
& ! [X4] :
( sK49 = X4
| ~ ssList(X4)
| ! [X5] :
( app(sK48,X5) != X4
| ~ ssList(X5)
| ~ neq(nil,sK49)
| tl(sK49) != X5 ) )
& ~ neq(sK46,nil) )
| ( ~ neq(sK49,nil)
& neq(sK47,nil) ) )
& sK47 = sK49
& ssList(sK49)
& ssList(sK48)
& ssList(sK46) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46,sK47,sK48,sK49])],[f149,f328,f327,f326,f325]) ).
fof(f325,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( X0 = X2
& ( ( neq(X1,nil)
& ! [X4] :
( X3 = X4
| ~ ssList(X4)
| ! [X5] :
( app(X2,X5) != X4
| ~ ssList(X5)
| ~ neq(nil,X3)
| tl(X3) != X5 ) )
& ~ neq(X0,nil) )
| ( ~ neq(X3,nil)
& neq(X1,nil) ) )
& X1 = X3
& ssList(X3) )
& ssList(X2) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( sK46 = X2
& ( ( neq(X1,nil)
& ! [X4] :
( X3 = X4
| ~ ssList(X4)
| ! [X5] :
( app(X2,X5) != X4
| ~ ssList(X5)
| ~ neq(nil,X3)
| tl(X3) != X5 ) )
& ~ neq(sK46,nil) )
| ( ~ neq(X3,nil)
& neq(X1,nil) ) )
& X1 = X3
& ssList(X3) )
& ssList(X2) ) )
& ssList(sK46) ) ),
introduced(choice_axiom,[]) ).
fof(f326,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( sK46 = X2
& ( ( neq(X1,nil)
& ! [X4] :
( X3 = X4
| ~ ssList(X4)
| ! [X5] :
( app(X2,X5) != X4
| ~ ssList(X5)
| ~ neq(nil,X3)
| tl(X3) != X5 ) )
& ~ neq(sK46,nil) )
| ( ~ neq(X3,nil)
& neq(X1,nil) ) )
& X1 = X3
& ssList(X3) )
& ssList(X2) ) )
=> ( ssList(sK47)
& ? [X2] :
( ? [X3] :
( sK46 = X2
& ( ( neq(sK47,nil)
& ! [X4] :
( X3 = X4
| ~ ssList(X4)
| ! [X5] :
( app(X2,X5) != X4
| ~ ssList(X5)
| ~ neq(nil,X3)
| tl(X3) != X5 ) )
& ~ neq(sK46,nil) )
| ( ~ neq(X3,nil)
& neq(sK47,nil) ) )
& sK47 = X3
& ssList(X3) )
& ssList(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f327,plain,
( ? [X2] :
( ? [X3] :
( sK46 = X2
& ( ( neq(sK47,nil)
& ! [X4] :
( X3 = X4
| ~ ssList(X4)
| ! [X5] :
( app(X2,X5) != X4
| ~ ssList(X5)
| ~ neq(nil,X3)
| tl(X3) != X5 ) )
& ~ neq(sK46,nil) )
| ( ~ neq(X3,nil)
& neq(sK47,nil) ) )
& sK47 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( sK48 = sK46
& ( ( neq(sK47,nil)
& ! [X4] :
( X3 = X4
| ~ ssList(X4)
| ! [X5] :
( app(sK48,X5) != X4
| ~ ssList(X5)
| ~ neq(nil,X3)
| tl(X3) != X5 ) )
& ~ neq(sK46,nil) )
| ( ~ neq(X3,nil)
& neq(sK47,nil) ) )
& sK47 = X3
& ssList(X3) )
& ssList(sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f328,plain,
( ? [X3] :
( sK48 = sK46
& ( ( neq(sK47,nil)
& ! [X4] :
( X3 = X4
| ~ ssList(X4)
| ! [X5] :
( app(sK48,X5) != X4
| ~ ssList(X5)
| ~ neq(nil,X3)
| tl(X3) != X5 ) )
& ~ neq(sK46,nil) )
| ( ~ neq(X3,nil)
& neq(sK47,nil) ) )
& sK47 = X3
& ssList(X3) )
=> ( sK48 = sK46
& ( ( neq(sK47,nil)
& ! [X4] :
( sK49 = X4
| ~ ssList(X4)
| ! [X5] :
( app(sK48,X5) != X4
| ~ ssList(X5)
| ~ neq(nil,sK49)
| tl(sK49) != X5 ) )
& ~ neq(sK46,nil) )
| ( ~ neq(sK49,nil)
& neq(sK47,nil) ) )
& sK47 = sK49
& ssList(sK49) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( X0 = X2
& ( ( neq(X1,nil)
& ! [X4] :
( X3 = X4
| ~ ssList(X4)
| ! [X5] :
( app(X2,X5) != X4
| ~ ssList(X5)
| ~ neq(nil,X3)
| tl(X3) != X5 ) )
& ~ neq(X0,nil) )
| ( ~ neq(X3,nil)
& neq(X1,nil) ) )
& X1 = X3
& ssList(X3) )
& ssList(X2) ) )
& ssList(X0) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( neq(X1,nil)
& ! [X4] :
( X3 = X4
| ~ ssList(X4)
| ! [X5] :
( app(X2,X5) != X4
| ~ ssList(X5)
| ~ neq(nil,X3)
| tl(X3) != X5 ) )
& ~ neq(X0,nil) )
| ( ~ neq(X3,nil)
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( neq(X0,nil)
| ? [X4] :
( X3 != X4
& ssList(X4)
& ? [X5] :
( ssList(X5)
& app(X2,X5) = X4
& tl(X3) = X5
& neq(nil,X3) ) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( neq(X0,nil)
| ? [X4] :
( X3 != X4
& ssList(X4)
& ? [X5] :
( ssList(X5)
& app(X2,X5) = X4
& tl(X3) = X5
& neq(nil,X3) ) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f800,plain,
( ~ neq(nil,nil)
| ~ neq(sK47,nil) ),
inference(backward_demodulation,[],[f607,f796]) ).
fof(f796,plain,
nil = sK46,
inference(subsumption_resolution,[],[f795,f510]) ).
fof(f510,plain,
ssList(sK46),
inference(cnf_transformation,[],[f329]) ).
fof(f795,plain,
( nil = sK46
| ~ ssList(sK46) ),
inference(subsumption_resolution,[],[f794,f595]) ).
fof(f794,plain,
( nil = sK46
| ~ neq(sK47,nil)
| ~ ssList(sK46) ),
inference(subsumption_resolution,[],[f787,f485]) ).
fof(f485,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f787,plain,
( nil = sK46
| ~ ssList(nil)
| ~ neq(sK47,nil)
| ~ ssList(sK46) ),
inference(resolution,[],[f386,f607]) ).
fof(f386,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( X0 != X1
| ~ neq(X0,X1) )
& ( neq(X0,X1)
| X0 = X1 ) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( X0 != X1
<=> neq(X0,X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( X0 != X1
<=> neq(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f607,plain,
( ~ neq(sK46,nil)
| ~ neq(sK47,nil) ),
inference(backward_demodulation,[],[f515,f513]) ).
fof(f513,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f329]) ).
fof(f515,plain,
( ~ neq(sK49,nil)
| ~ neq(sK46,nil) ),
inference(cnf_transformation,[],[f329]) ).
fof(f1152,plain,
neq(nil,nil),
inference(backward_demodulation,[],[f595,f1150]) ).
fof(f1150,plain,
nil = sK47,
inference(subsumption_resolution,[],[f1149,f606]) ).
fof(f606,plain,
ssList(sK47),
inference(backward_demodulation,[],[f512,f513]) ).
fof(f512,plain,
ssList(sK49),
inference(cnf_transformation,[],[f329]) ).
fof(f1149,plain,
( ~ ssList(sK47)
| nil = sK47 ),
inference(duplicate_literal_removal,[],[f1148]) ).
fof(f1148,plain,
( nil = sK47
| ~ ssList(sK47)
| nil = sK47 ),
inference(resolution,[],[f1147,f508]) ).
fof(f508,plain,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(hd(X0))
| nil = X0 ),
inference(flattening,[],[f164]) ).
fof(f164,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/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f1147,plain,
( ~ ssItem(hd(sK47))
| nil = sK47 ),
inference(subsumption_resolution,[],[f1146,f844]) ).
fof(f844,plain,
( sF57 = sK47
| nil = sK47 ),
inference(duplicate_literal_removal,[],[f831]) ).
fof(f831,plain,
( nil = sK47
| nil = sK47
| sF57 = sK47 ),
inference(superposition,[],[f807,f812]) ).
fof(f812,plain,
( sF57 = sF58
| nil = sK47 ),
inference(superposition,[],[f799,f708]) ).
fof(f708,plain,
( app(nil,sF57) = sF57
| nil = sK47 ),
inference(resolution,[],[f706,f541]) ).
fof(f541,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,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(f706,plain,
( ssList(sF57)
| nil = sK47 ),
inference(subsumption_resolution,[],[f705,f606]) ).
fof(f705,plain,
( ~ ssList(sK47)
| nil = sK47
| ssList(sF57) ),
inference(superposition,[],[f526,f612]) ).
fof(f612,plain,
tl(sK47) = sF57,
inference(forward_demodulation,[],[f590,f513]) ).
fof(f590,plain,
tl(sK49) = sF57,
introduced(function_definition,[]) ).
fof(f526,plain,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ~ ssList(X0)
| ssList(tl(X0))
| nil = X0 ),
inference(flattening,[],[f209]) ).
fof(f209,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/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f799,plain,
app(nil,sF57) = sF58,
inference(backward_demodulation,[],[f605,f796]) ).
fof(f605,plain,
app(sK46,sF57) = sF58,
inference(backward_demodulation,[],[f591,f520]) ).
fof(f520,plain,
sK48 = sK46,
inference(cnf_transformation,[],[f329]) ).
fof(f591,plain,
app(sK48,sF57) = sF58,
introduced(function_definition,[]) ).
fof(f807,plain,
( sK47 = sF58
| nil = sK47 ),
inference(subsumption_resolution,[],[f806,f485]) ).
fof(f806,plain,
( nil = sK47
| ~ ssList(nil)
| sK47 = sF58 ),
inference(subsumption_resolution,[],[f792,f606]) ).
fof(f792,plain,
( ~ ssList(sK47)
| nil = sK47
| ~ ssList(nil)
| sK47 = sF58 ),
inference(duplicate_literal_removal,[],[f790]) ).
fof(f790,plain,
( ~ ssList(sK47)
| ~ ssList(nil)
| nil = sK47
| nil = sK47
| sK47 = sF58 ),
inference(resolution,[],[f386,f714]) ).
fof(f714,plain,
( ~ neq(nil,sK47)
| nil = sK47
| sK47 = sF58 ),
inference(subsumption_resolution,[],[f711,f706]) ).
fof(f711,plain,
( ~ ssList(sF57)
| nil = sK47
| ~ neq(nil,sK47)
| sK47 = sF58 ),
inference(resolution,[],[f707,f615]) ).
fof(f615,plain,
( ~ ssList(sF58)
| ~ ssList(sF57)
| sK47 = sF58
| ~ neq(nil,sK47) ),
inference(subsumption_resolution,[],[f614,f610]) ).
fof(f610,plain,
( ~ ssList(sF58)
| ~ neq(sK47,nil)
| ~ neq(nil,sK47)
| sK47 = sF58
| ~ ssList(sF57) ),
inference(forward_demodulation,[],[f609,f513]) ).
fof(f609,plain,
( ~ ssList(sF58)
| ~ neq(sK47,nil)
| ~ ssList(sF57)
| sK49 = sF58
| ~ neq(nil,sK47) ),
inference(forward_demodulation,[],[f608,f513]) ).
fof(f608,plain,
( ~ neq(nil,sK49)
| ~ neq(sK47,nil)
| ~ ssList(sF58)
| sK49 = sF58
| ~ ssList(sF57) ),
inference(backward_demodulation,[],[f592,f513]) ).
fof(f592,plain,
( ~ ssList(sF57)
| ~ neq(nil,sK49)
| sK49 = sF58
| ~ neq(sK49,nil)
| ~ ssList(sF58) ),
inference(definition_folding,[],[f584,f590,f591,f590,f591,f590]) ).
fof(f584,plain,
( app(sK48,tl(sK49)) = sK49
| ~ ssList(app(sK48,tl(sK49)))
| ~ ssList(tl(sK49))
| ~ neq(nil,sK49)
| ~ neq(sK49,nil) ),
inference(equality_resolution,[],[f583]) ).
fof(f583,plain,
! [X5] :
( app(sK48,X5) = sK49
| ~ ssList(app(sK48,X5))
| ~ ssList(X5)
| ~ neq(nil,sK49)
| tl(sK49) != X5
| ~ neq(sK49,nil) ),
inference(equality_resolution,[],[f517]) ).
fof(f517,plain,
! [X4,X5] :
( sK49 = X4
| ~ ssList(X4)
| app(sK48,X5) != X4
| ~ ssList(X5)
| ~ neq(nil,sK49)
| tl(sK49) != X5
| ~ neq(sK49,nil) ),
inference(cnf_transformation,[],[f329]) ).
fof(f614,plain,
( ~ ssList(sF57)
| ~ ssList(sF58)
| sK47 = sF58
| neq(sK47,nil)
| ~ neq(nil,sK47) ),
inference(forward_demodulation,[],[f613,f513]) ).
fof(f613,plain,
( ~ neq(nil,sK47)
| ~ ssList(sF58)
| sK49 = sF58
| ~ ssList(sF57)
| neq(sK47,nil) ),
inference(forward_demodulation,[],[f593,f513]) ).
fof(f593,plain,
( ~ neq(nil,sK49)
| neq(sK47,nil)
| sK49 = sF58
| ~ ssList(sF58)
| ~ ssList(sF57) ),
inference(definition_folding,[],[f586,f590,f591,f590,f591,f590]) ).
fof(f586,plain,
( app(sK48,tl(sK49)) = sK49
| ~ ssList(app(sK48,tl(sK49)))
| ~ ssList(tl(sK49))
| ~ neq(nil,sK49)
| neq(sK47,nil) ),
inference(equality_resolution,[],[f585]) ).
fof(f585,plain,
! [X5] :
( app(sK48,X5) = sK49
| ~ ssList(app(sK48,X5))
| ~ ssList(X5)
| ~ neq(nil,sK49)
| tl(sK49) != X5
| neq(sK47,nil) ),
inference(equality_resolution,[],[f516]) ).
fof(f516,plain,
! [X4,X5] :
( sK49 = X4
| ~ ssList(X4)
| app(sK48,X5) != X4
| ~ ssList(X5)
| ~ neq(nil,sK49)
| tl(sK49) != X5
| neq(sK47,nil) ),
inference(cnf_transformation,[],[f329]) ).
fof(f707,plain,
( ssList(sF58)
| nil = sK47 ),
inference(resolution,[],[f706,f702]) ).
fof(f702,plain,
( ~ ssList(sF57)
| ssList(sF58) ),
inference(subsumption_resolution,[],[f695,f510]) ).
fof(f695,plain,
( ssList(sF58)
| ~ ssList(sF57)
| ~ ssList(sK46) ),
inference(superposition,[],[f494,f605]) ).
fof(f494,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f1146,plain,
( ~ ssItem(hd(sK47))
| sF57 != sK47
| nil = sK47 ),
inference(subsumption_resolution,[],[f1141,f706]) ).
fof(f1141,plain,
( ~ ssList(sF57)
| nil = sK47
| ~ ssItem(hd(sK47))
| sF57 != sK47 ),
inference(superposition,[],[f544,f1137]) ).
fof(f1137,plain,
( cons(hd(sK47),sF57) = sK47
| nil = sK47 ),
inference(forward_demodulation,[],[f1131,f612]) ).
fof(f1131,plain,
( nil = sK47
| cons(hd(sK47),tl(sK47)) = sK47 ),
inference(resolution,[],[f440,f606]) ).
fof(f440,plain,
! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
inference(flattening,[],[f176]) ).
fof(f176,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/sandbox2/benchmark/theBenchmark.p',ax78) ).
fof(f544,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC204+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 18:37:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.52 % (13223)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)
% 0.20/0.52 % (13225)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (13225)Instruction limit reached!
% 0.20/0.53 % (13225)------------------------------
% 0.20/0.53 % (13225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (13225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (13225)Termination reason: Unknown
% 0.20/0.53 % (13225)Termination phase: Preprocessing 1
% 0.20/0.53
% 0.20/0.53 % (13225)Memory used [KB]: 895
% 0.20/0.53 % (13225)Time elapsed: 0.002 s
% 0.20/0.53 % (13225)Instructions burned: 2 (million)
% 0.20/0.53 % (13225)------------------------------
% 0.20/0.53 % (13225)------------------------------
% 0.20/0.53 % (13231)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)
% 0.20/0.53 % (13239)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)
% 0.20/0.53 % (13233)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)
% 0.20/0.54 % (13241)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.44/0.54 % (13222)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)
% 1.44/0.54 % (13220)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)
% 1.44/0.54 % (13224)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.44/0.55 % (13236)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)
% 1.44/0.55 TRYING [1]
% 1.44/0.55 % (13219)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)
% 1.44/0.55 % (13234)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.44/0.55 % (13221)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.44/0.56 TRYING [2]
% 1.44/0.56 % (13244)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)
% 1.44/0.56 % (13232)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)
% 1.44/0.56 % (13238)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.44/0.56 % (13235)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.58/0.56 % (13237)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)
% 1.58/0.56 % (13217)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)
% 1.58/0.56 % (13226)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)
% 1.58/0.56 % (13243)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)
% 1.58/0.57 % (13245)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.58/0.57 % (13224)Instruction limit reached!
% 1.58/0.57 % (13224)------------------------------
% 1.58/0.57 % (13224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.57 % (13224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.57 % (13224)Termination reason: Unknown
% 1.58/0.57 % (13224)Termination phase: Property scanning
% 1.58/0.57
% 1.58/0.57 % (13224)Memory used [KB]: 1279
% 1.58/0.57 % (13224)Time elapsed: 0.005 s
% 1.58/0.57 % (13224)Instructions burned: 7 (million)
% 1.58/0.57 % (13224)------------------------------
% 1.58/0.57 % (13224)------------------------------
% 1.58/0.57 % (13240)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)
% 1.58/0.57 % (13246)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)
% 1.58/0.57 % (13228)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)
% 1.58/0.57 % (13218)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)
% 1.58/0.57 % (13227)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.58/0.57 % (13230)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.58/0.57 % (13229)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.58/0.57 % (13242)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.58/0.58 TRYING [3]
% 1.58/0.59 % (13223)Instruction limit reached!
% 1.58/0.59 % (13223)------------------------------
% 1.58/0.59 % (13223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.59 % (13223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.59 % (13223)Termination reason: Unknown
% 1.58/0.59 % (13223)Termination phase: Finite model building constraint generation
% 1.58/0.59
% 1.58/0.59 % (13223)Memory used [KB]: 7675
% 1.58/0.59 % (13223)Time elapsed: 0.153 s
% 1.58/0.59 % (13223)Instructions burned: 54 (million)
% 1.58/0.59 % (13223)------------------------------
% 1.58/0.59 % (13223)------------------------------
% 1.58/0.60 TRYING [1]
% 1.58/0.60 % (13218)Refutation not found, incomplete strategy% (13218)------------------------------
% 1.58/0.60 % (13218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.60 % (13218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.60 % (13218)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.60
% 1.58/0.60 % (13218)Memory used [KB]: 6012
% 1.58/0.60 % (13218)Time elapsed: 0.168 s
% 1.58/0.60 % (13218)Instructions burned: 20 (million)
% 1.58/0.60 % (13218)------------------------------
% 1.58/0.60 % (13218)------------------------------
% 1.58/0.60 TRYING [2]
% 1.58/0.61 TRYING [1]
% 1.58/0.62 % (13231)Instruction limit reached!
% 1.58/0.62 % (13231)------------------------------
% 1.58/0.62 % (13231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.62 % (13231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.62 % (13231)Termination reason: Unknown
% 1.58/0.62 % (13231)Termination phase: Saturation
% 1.58/0.62
% 1.58/0.62 % (13231)Memory used [KB]: 7036
% 1.58/0.62 % (13231)Time elapsed: 0.048 s
% 1.58/0.62 % (13231)Instructions burned: 68 (million)
% 1.58/0.62 % (13231)------------------------------
% 1.58/0.62 % (13231)------------------------------
% 1.58/0.62 TRYING [2]
% 1.58/0.62 % (13222)Instruction limit reached!
% 1.58/0.62 % (13222)------------------------------
% 1.58/0.62 % (13222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.62 % (13222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.62 % (13222)Termination reason: Unknown
% 1.58/0.62 % (13222)Termination phase: Saturation
% 1.58/0.62
% 1.58/0.62 % (13222)Memory used [KB]: 6396
% 1.58/0.62 % (13222)Time elapsed: 0.199 s
% 1.58/0.62 % (13222)Instructions burned: 49 (million)
% 1.58/0.62 % (13222)------------------------------
% 1.58/0.62 % (13222)------------------------------
% 2.09/0.63 % (13232)First to succeed.
% 2.09/0.63 TRYING [3]
% 2.09/0.63 % (13220)Instruction limit reached!
% 2.09/0.63 % (13220)------------------------------
% 2.09/0.63 % (13220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63 TRYING [3]
% 2.09/0.63 % (13219)Instruction limit reached!
% 2.09/0.63 % (13219)------------------------------
% 2.09/0.63 % (13219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.63 % (13219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.63 % (13219)Termination reason: Unknown
% 2.09/0.63 % (13219)Termination phase: Saturation
% 2.09/0.63
% 2.09/0.63 % (13219)Memory used [KB]: 1663
% 2.09/0.63 % (13219)Time elapsed: 0.212 s
% 2.09/0.63 % (13219)Instructions burned: 37 (million)
% 2.09/0.63 % (13219)------------------------------
% 2.09/0.63 % (13219)------------------------------
% 2.09/0.64 % (13226)Instruction limit reached!
% 2.09/0.64 % (13226)------------------------------
% 2.09/0.64 % (13226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64 % (13226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64 % (13226)Termination reason: Unknown
% 2.09/0.64 % (13226)Termination phase: Saturation
% 2.09/0.64
% 2.09/0.64 % (13226)Memory used [KB]: 2174
% 2.09/0.64 % (13226)Time elapsed: 0.205 s
% 2.09/0.64 % (13226)Instructions burned: 52 (million)
% 2.09/0.64 % (13226)------------------------------
% 2.09/0.64 % (13226)------------------------------
% 2.09/0.64 TRYING [3]
% 2.09/0.64 % (13234)Instruction limit reached!
% 2.09/0.64 % (13234)------------------------------
% 2.09/0.64 % (13234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64 % (13234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64 % (13234)Termination reason: Unknown
% 2.09/0.64 % (13234)Termination phase: Finite model building constraint generation
% 2.09/0.64
% 2.09/0.64 % (13234)Memory used [KB]: 7803
% 2.09/0.64 % (13234)Time elapsed: 0.190 s
% 2.09/0.64 % (13234)Instructions burned: 60 (million)
% 2.09/0.64 % (13234)------------------------------
% 2.09/0.64 % (13234)------------------------------
% 2.09/0.65 % (13227)Instruction limit reached!
% 2.09/0.65 % (13227)------------------------------
% 2.09/0.65 % (13227)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.65 % (13220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.65 % (13220)Termination reason: Unknown
% 2.09/0.65 % (13220)Termination phase: Saturation
% 2.09/0.65
% 2.09/0.65 % (13220)Memory used [KB]: 6396
% 2.09/0.65 % (13220)Time elapsed: 0.227 s
% 2.09/0.65 % (13220)Instructions burned: 52 (million)
% 2.09/0.65 % (13220)------------------------------
% 2.09/0.65 % (13220)------------------------------
% 2.09/0.65 % (13227)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.65 % (13227)Termination reason: Unknown
% 2.09/0.65 % (13227)Termination phase: Saturation
% 2.09/0.65
% 2.09/0.65 % (13227)Memory used [KB]: 6652
% 2.09/0.65 % (13227)Time elapsed: 0.218 s
% 2.09/0.65 % (13227)Instructions burned: 51 (million)
% 2.09/0.65 % (13227)------------------------------
% 2.09/0.65 % (13227)------------------------------
% 2.09/0.65 % (13232)Refutation found. Thanks to Tanya!
% 2.09/0.65 % SZS status Theorem for theBenchmark
% 2.09/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.09/0.65 % (13232)------------------------------
% 2.09/0.65 % (13232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.65 % (13232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.65 % (13232)Termination reason: Refutation
% 2.09/0.65
% 2.09/0.65 % (13232)Memory used [KB]: 1918
% 2.09/0.65 % (13232)Time elapsed: 0.229 s
% 2.09/0.65 % (13232)Instructions burned: 47 (million)
% 2.09/0.65 % (13232)------------------------------
% 2.09/0.65 % (13232)------------------------------
% 2.09/0.65 % (13216)Success in time 0.297 s
%------------------------------------------------------------------------------