TSTP Solution File: SWC100+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC100+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_uns --cores 0 -t %d %s
% Computer : n003.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 18:38:48 EDT 2022
% Result : Theorem 1.38s 0.58s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 21
% Syntax : Number of formulae : 82 ( 13 unt; 0 def)
% Number of atoms : 525 ( 178 equ)
% Maximal formula atoms : 46 ( 6 avg)
% Number of connectives : 700 ( 257 ~; 232 |; 172 &)
% ( 15 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 10 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 158 ( 110 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1020,plain,
$false,
inference(avatar_sat_refutation,[],[f599,f637,f638,f639,f675,f677,f681,f871,f963,f981,f1018]) ).
fof(f1018,plain,
( ~ spl52_4
| ~ spl52_1
| ~ spl52_2 ),
inference(avatar_split_clause,[],[f1017,f591,f587,f601]) ).
fof(f601,plain,
( spl52_4
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_4])]) ).
fof(f587,plain,
( spl52_1
<=> nil = sK22 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1])]) ).
fof(f591,plain,
( spl52_2
<=> neq(sK22,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_2])]) ).
fof(f1017,plain,
( ~ ssList(nil)
| ~ spl52_1
| ~ spl52_2 ),
inference(resolution,[],[f985,f580]) ).
fof(f580,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f559]) ).
fof(f559,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f429]) ).
fof(f429,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f985,plain,
( neq(nil,nil)
| ~ spl52_1
| ~ spl52_2 ),
inference(backward_demodulation,[],[f593,f589]) ).
fof(f589,plain,
( nil = sK22
| ~ spl52_1 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f593,plain,
( neq(sK22,nil)
| ~ spl52_2 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f981,plain,
( ~ spl52_4
| spl52_3
| ~ spl52_17
| spl52_11 ),
inference(avatar_split_clause,[],[f970,f633,f672,f596,f601]) ).
fof(f596,plain,
( spl52_3
<=> nil = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_3])]) ).
fof(f672,plain,
( spl52_17
<=> ssList(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_17])]) ).
fof(f633,plain,
( spl52_11
<=> neq(sK19,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_11])]) ).
fof(f970,plain,
( ~ ssList(sK19)
| nil = sK19
| ~ ssList(nil)
| spl52_11 ),
inference(resolution,[],[f635,f430]) ).
fof(f430,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f635,plain,
( ~ neq(sK19,nil)
| spl52_11 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f963,plain,
( spl52_10
| ~ spl52_15
| ~ spl52_17
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f948,f668,f672,f664,f629]) ).
fof(f629,plain,
( spl52_10
<=> frontsegP(sK22,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_10])]) ).
fof(f664,plain,
( spl52_15
<=> ssList(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_15])]) ).
fof(f668,plain,
( spl52_16
<=> ssList(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_16])]) ).
fof(f948,plain,
( ~ ssList(sK23)
| ~ ssList(sK19)
| ~ ssList(sK22)
| frontsegP(sK22,sK19) ),
inference(superposition,[],[f556,f544]) ).
fof(f544,plain,
sK22 = app(sK19,sK23),
inference(definition_unfolding,[],[f410,f400]) ).
fof(f400,plain,
sK21 = sK19,
inference(cnf_transformation,[],[f269]) ).
fof(f269,plain,
( ssList(sK19)
& ssList(sK20)
& ssList(sK21)
& app(sK21,sK23) = sK22
& strictorderedP(sK21)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != sK23
| ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| ~ ssList(X8)
| app(X8,cons(X7,nil)) != sK21 )
| ~ ssItem(X7) ) ) )
& ssList(sK23)
& ( ( neq(sK20,nil)
& ( ~ neq(sK19,nil)
| ~ frontsegP(sK20,sK19) ) )
| ( nil != sK19
& nil = sK20 ) )
& ssList(sK22)
& sK20 = sK22
& sK21 = sK19
& ( nil != sK21
| nil = sK22 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20,sK21,sK22,sK23])],[f177,f268,f267,f266,f265,f264]) ).
fof(f264,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ? [X4] :
( app(X2,X4) = X3
& strictorderedP(X2)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != X4
| ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| ~ ssList(X8)
| app(X8,cons(X7,nil)) != X2 )
| ~ ssItem(X7) ) ) )
& ssList(X4) )
& ( ( neq(X1,nil)
& ( ~ neq(X0,nil)
| ~ frontsegP(X1,X0) ) )
| ( nil != X0
& nil = X1 ) )
& ssList(X3)
& X1 = X3
& X0 = X2
& ( nil != X2
| nil = X3 ) ) ) ) )
=> ( ssList(sK19)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ? [X4] :
( app(X2,X4) = X3
& strictorderedP(X2)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != X4
| ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| ~ ssList(X8)
| app(X8,cons(X7,nil)) != X2 )
| ~ ssItem(X7) ) ) )
& ssList(X4) )
& ( ( neq(X1,nil)
& ( ~ neq(sK19,nil)
| ~ frontsegP(X1,sK19) ) )
| ( nil != sK19
& nil = X1 ) )
& ssList(X3)
& X1 = X3
& sK19 = X2
& ( nil != X2
| nil = X3 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f265,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ? [X4] :
( app(X2,X4) = X3
& strictorderedP(X2)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != X4
| ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| ~ ssList(X8)
| app(X8,cons(X7,nil)) != X2 )
| ~ ssItem(X7) ) ) )
& ssList(X4) )
& ( ( neq(X1,nil)
& ( ~ neq(sK19,nil)
| ~ frontsegP(X1,sK19) ) )
| ( nil != sK19
& nil = X1 ) )
& ssList(X3)
& X1 = X3
& sK19 = X2
& ( nil != X2
| nil = X3 ) ) ) )
=> ( ssList(sK20)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ? [X4] :
( app(X2,X4) = X3
& strictorderedP(X2)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != X4
| ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| ~ ssList(X8)
| app(X8,cons(X7,nil)) != X2 )
| ~ ssItem(X7) ) ) )
& ssList(X4) )
& ( ( neq(sK20,nil)
& ( ~ neq(sK19,nil)
| ~ frontsegP(sK20,sK19) ) )
| ( nil != sK19
& nil = sK20 ) )
& ssList(X3)
& sK20 = X3
& sK19 = X2
& ( nil != X2
| nil = X3 ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f266,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ? [X4] :
( app(X2,X4) = X3
& strictorderedP(X2)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != X4
| ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| ~ ssList(X8)
| app(X8,cons(X7,nil)) != X2 )
| ~ ssItem(X7) ) ) )
& ssList(X4) )
& ( ( neq(sK20,nil)
& ( ~ neq(sK19,nil)
| ~ frontsegP(sK20,sK19) ) )
| ( nil != sK19
& nil = sK20 ) )
& ssList(X3)
& sK20 = X3
& sK19 = X2
& ( nil != X2
| nil = X3 ) ) )
=> ( ssList(sK21)
& ? [X3] :
( ? [X4] :
( app(sK21,X4) = X3
& strictorderedP(sK21)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != X4
| ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| ~ ssList(X8)
| app(X8,cons(X7,nil)) != sK21 )
| ~ ssItem(X7) ) ) )
& ssList(X4) )
& ( ( neq(sK20,nil)
& ( ~ neq(sK19,nil)
| ~ frontsegP(sK20,sK19) ) )
| ( nil != sK19
& nil = sK20 ) )
& ssList(X3)
& sK20 = X3
& sK21 = sK19
& ( nil != sK21
| nil = X3 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f267,plain,
( ? [X3] :
( ? [X4] :
( app(sK21,X4) = X3
& strictorderedP(sK21)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != X4
| ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| ~ ssList(X8)
| app(X8,cons(X7,nil)) != sK21 )
| ~ ssItem(X7) ) ) )
& ssList(X4) )
& ( ( neq(sK20,nil)
& ( ~ neq(sK19,nil)
| ~ frontsegP(sK20,sK19) ) )
| ( nil != sK19
& nil = sK20 ) )
& ssList(X3)
& sK20 = X3
& sK21 = sK19
& ( nil != sK21
| nil = X3 ) )
=> ( ? [X4] :
( app(sK21,X4) = sK22
& strictorderedP(sK21)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != X4
| ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| ~ ssList(X8)
| app(X8,cons(X7,nil)) != sK21 )
| ~ ssItem(X7) ) ) )
& ssList(X4) )
& ( ( neq(sK20,nil)
& ( ~ neq(sK19,nil)
| ~ frontsegP(sK20,sK19) ) )
| ( nil != sK19
& nil = sK20 ) )
& ssList(sK22)
& sK20 = sK22
& sK21 = sK19
& ( nil != sK21
| nil = sK22 ) ) ),
introduced(choice_axiom,[]) ).
fof(f268,plain,
( ? [X4] :
( app(sK21,X4) = sK22
& strictorderedP(sK21)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != X4
| ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| ~ ssList(X8)
| app(X8,cons(X7,nil)) != sK21 )
| ~ ssItem(X7) ) ) )
& ssList(X4) )
=> ( app(sK21,sK23) = sK22
& strictorderedP(sK21)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != sK23
| ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| ~ ssList(X8)
| app(X8,cons(X7,nil)) != sK21 )
| ~ ssItem(X7) ) ) )
& ssList(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ? [X4] :
( app(X2,X4) = X3
& strictorderedP(X2)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != X4
| ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| ~ ssList(X8)
| app(X8,cons(X7,nil)) != X2 )
| ~ ssItem(X7) ) ) )
& ssList(X4) )
& ( ( neq(X1,nil)
& ( ~ neq(X0,nil)
| ~ frontsegP(X1,X0) ) )
| ( nil != X0
& nil = X1 ) )
& ssList(X3)
& X1 = X3
& X0 = X2
& ( nil != X2
| nil = X3 ) ) ) ) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ( neq(X1,nil)
& ( ~ neq(X0,nil)
| ~ frontsegP(X1,X0) ) )
| ( nil != X0
& nil = X1 ) )
& ( nil != X2
| nil = X3 )
& ? [X4] :
( ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != X4
| ! [X7] :
( ! [X8] :
( ~ lt(X7,X5)
| ~ ssList(X8)
| app(X8,cons(X7,nil)) != X2 )
| ~ ssItem(X7) ) ) )
& strictorderedP(X2)
& app(X2,X4) = X3
& ssList(X4) )
& 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)
=> ( X1 != X3
| X0 != X2
| ( ( nil != X1
| nil = X0 )
& ( ( frontsegP(X1,X0)
& neq(X0,nil) )
| ~ neq(X1,nil) ) )
| ( nil != X3
& nil = X2 )
| ! [X4] :
( ssList(X4)
=> ( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( app(X8,cons(X7,nil)) = X2
& ssList(X8)
& lt(X7,X5) )
& ssItem(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| ~ strictorderedP(X2)
| app(X2,X4) != X3 ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ( nil != X1
| nil = X0 )
& ( ( frontsegP(X1,X0)
& neq(X0,nil) )
| ~ neq(X1,nil) ) )
| ( nil != X3
& nil = X2 )
| ! [X4] :
( ssList(X4)
=> ( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( app(X8,cons(X7,nil)) = X2
& ssList(X8)
& lt(X7,X5) )
& ssItem(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| ~ strictorderedP(X2)
| app(X2,X4) != X3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f410,plain,
app(sK21,sK23) = sK22,
inference(cnf_transformation,[],[f269]) ).
fof(f556,plain,
! [X3,X1] :
( frontsegP(app(X1,X3),X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(app(X1,X3)) ),
inference(equality_resolution,[],[f366]) ).
fof(f366,plain,
! [X3,X0,X1] :
( ~ ssList(X0)
| frontsegP(X0,X1)
| app(X1,X3) != X0
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ( ( app(X1,sK14(X0,X1)) = X0
& ssList(sK14(X0,X1)) )
| ~ frontsegP(X0,X1) )
& ( frontsegP(X0,X1)
| ! [X3] :
( app(X1,X3) != X0
| ~ ssList(X3) ) ) )
| ~ ssList(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f250,f251]) ).
fof(f251,plain,
! [X0,X1] :
( ? [X2] :
( app(X1,X2) = X0
& ssList(X2) )
=> ( app(X1,sK14(X0,X1)) = X0
& ssList(sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f250,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ( ? [X2] :
( app(X1,X2) = X0
& ssList(X2) )
| ~ frontsegP(X0,X1) )
& ( frontsegP(X0,X1)
| ! [X3] :
( app(X1,X3) != X0
| ~ ssList(X3) ) ) )
| ~ ssList(X1) ) ),
inference(rectify,[],[f249]) ).
fof(f249,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ( ? [X2] :
( app(X1,X2) = X0
& ssList(X2) )
| ~ frontsegP(X0,X1) )
& ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) ) )
| ~ ssList(X1) ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ? [X2] :
( app(X1,X2) = X0
& ssList(X2) )
<=> frontsegP(X0,X1) )
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ? [X2] :
( app(X1,X2) = X0
& ssList(X2) )
<=> frontsegP(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f871,plain,
( ~ spl52_17
| spl52_3
| ~ spl52_16
| ~ spl52_1 ),
inference(avatar_split_clause,[],[f866,f587,f668,f596,f672]) ).
fof(f866,plain,
( nil != sK22
| ~ ssList(sK23)
| nil = sK19
| ~ ssList(sK19) ),
inference(superposition,[],[f441,f544]) ).
fof(f441,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X0
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f274]) ).
fof(f274,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) )
& ( nil = app(X0,X1)
| nil != X0
| nil != X1 ) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f273]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) )
& ( nil = app(X0,X1)
| nil != X0
| nil != X1 ) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( nil = X0
& nil = X1 )
<=> nil = app(X0,X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( nil = X0
& nil = X1 )
<=> nil = app(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f681,plain,
spl52_17,
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f678,plain,
( $false
| spl52_17 ),
inference(resolution,[],[f674,f543]) ).
fof(f543,plain,
ssList(sK19),
inference(definition_unfolding,[],[f411,f400]) ).
fof(f411,plain,
ssList(sK21),
inference(cnf_transformation,[],[f269]) ).
fof(f674,plain,
( ~ ssList(sK19)
| spl52_17 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f677,plain,
spl52_16,
inference(avatar_contradiction_clause,[],[f676]) ).
fof(f676,plain,
( $false
| spl52_16 ),
inference(resolution,[],[f670,f407]) ).
fof(f407,plain,
ssList(sK23),
inference(cnf_transformation,[],[f269]) ).
fof(f670,plain,
( ~ ssList(sK23)
| spl52_16 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f675,plain,
( spl52_15
| ~ spl52_16
| ~ spl52_17 ),
inference(avatar_split_clause,[],[f656,f672,f668,f664]) ).
fof(f656,plain,
( ~ ssList(sK19)
| ~ ssList(sK23)
| ssList(sK22) ),
inference(superposition,[],[f433,f544]) ).
fof(f433,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ssList(app(X0,X1)) )
| ~ ssList(X0) ),
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(f639,plain,
spl52_4,
inference(avatar_split_clause,[],[f360,f601]) ).
fof(f360,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f638,plain,
( spl52_1
| ~ spl52_3 ),
inference(avatar_split_clause,[],[f551,f596,f587]) ).
fof(f551,plain,
( nil != sK19
| nil = sK22 ),
inference(definition_unfolding,[],[f399,f400]) ).
fof(f399,plain,
( nil != sK21
| nil = sK22 ),
inference(cnf_transformation,[],[f269]) ).
fof(f637,plain,
( ~ spl52_10
| spl52_1
| ~ spl52_11 ),
inference(avatar_split_clause,[],[f550,f633,f587,f629]) ).
fof(f550,plain,
( ~ neq(sK19,nil)
| nil = sK22
| ~ frontsegP(sK22,sK19) ),
inference(definition_unfolding,[],[f403,f401,f401]) ).
fof(f401,plain,
sK20 = sK22,
inference(cnf_transformation,[],[f269]) ).
fof(f403,plain,
( ~ neq(sK19,nil)
| ~ frontsegP(sK20,sK19)
| nil = sK20 ),
inference(cnf_transformation,[],[f269]) ).
fof(f599,plain,
( ~ spl52_3
| spl52_2 ),
inference(avatar_split_clause,[],[f547,f591,f596]) ).
fof(f547,plain,
( neq(sK22,nil)
| nil != sK19 ),
inference(definition_unfolding,[],[f406,f401]) ).
fof(f406,plain,
( neq(sK20,nil)
| nil != sK19 ),
inference(cnf_transformation,[],[f269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC100+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 18:18:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.50 % (4776)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.51 % (4776)Instruction limit reached!
% 0.21/0.51 % (4776)------------------------------
% 0.21/0.51 % (4776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (4784)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.25/0.52 % (4776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.52 % (4776)Termination reason: Unknown
% 1.25/0.52 % (4776)Termination phase: Saturation
% 1.25/0.52
% 1.25/0.52 % (4776)Memory used [KB]: 2046
% 1.25/0.52 % (4776)Time elapsed: 0.095 s
% 1.25/0.52 % (4776)Instructions burned: 16 (million)
% 1.25/0.52 % (4776)------------------------------
% 1.25/0.52 % (4776)------------------------------
% 1.25/0.53 % (4766)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.38/0.53 % (4773)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.38/0.54 % (4772)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.38/0.54 % (4774)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.38/0.54 % (4792)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.38/0.54 % (4769)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.38/0.54 % (4784)Instruction limit reached!
% 1.38/0.54 % (4784)------------------------------
% 1.38/0.54 % (4784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54 % (4784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54 % (4784)Termination reason: Unknown
% 1.38/0.54 % (4784)Termination phase: Saturation
% 1.38/0.54
% 1.38/0.54 % (4784)Memory used [KB]: 6524
% 1.38/0.54 % (4784)Time elapsed: 0.125 s
% 1.38/0.54 % (4784)Instructions burned: 30 (million)
% 1.38/0.54 % (4784)------------------------------
% 1.38/0.54 % (4784)------------------------------
% 1.38/0.54 % (4792)Instruction limit reached!
% 1.38/0.54 % (4792)------------------------------
% 1.38/0.54 % (4792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54 % (4792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54 % (4792)Termination reason: Unknown
% 1.38/0.54 % (4792)Termination phase: Property scanning
% 1.38/0.54
% 1.38/0.54 % (4792)Memory used [KB]: 1791
% 1.38/0.54 % (4792)Time elapsed: 0.005 s
% 1.38/0.54 % (4792)Instructions burned: 9 (million)
% 1.38/0.54 % (4792)------------------------------
% 1.38/0.54 % (4792)------------------------------
% 1.38/0.54 % (4764)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.38/0.54 % (4790)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.38/0.55 % (4786)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.38/0.55 % (4766)Instruction limit reached!
% 1.38/0.55 % (4766)------------------------------
% 1.38/0.55 % (4766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.55 % (4766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.55 % (4766)Termination reason: Unknown
% 1.38/0.55 % (4766)Termination phase: Preprocessing 3
% 1.38/0.55
% 1.38/0.55 % (4766)Memory used [KB]: 1663
% 1.38/0.55 % (4766)Time elapsed: 0.004 s
% 1.38/0.55 % (4766)Instructions burned: 4 (million)
% 1.38/0.55 % (4766)------------------------------
% 1.38/0.55 % (4766)------------------------------
% 1.38/0.55 % (4785)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.38/0.55 % (4781)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.38/0.55 % (4775)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.38/0.55 % (4781)Instruction limit reached!
% 1.38/0.55 % (4781)------------------------------
% 1.38/0.55 % (4781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.55 % (4781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.55 % (4781)Termination reason: Unknown
% 1.38/0.55 % (4781)Termination phase: Naming
% 1.38/0.55
% 1.38/0.55 % (4781)Memory used [KB]: 1535
% 1.38/0.55 % (4781)Time elapsed: 0.002 s
% 1.38/0.55 % (4781)Instructions burned: 3 (million)
% 1.38/0.55 % (4781)------------------------------
% 1.38/0.55 % (4781)------------------------------
% 1.38/0.55 % (4771)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.38/0.55 % (4765)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.38/0.55 % (4778)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.38/0.55 % (4775)Instruction limit reached!
% 1.38/0.55 % (4775)------------------------------
% 1.38/0.55 % (4775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.55 % (4775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.55 % (4775)Termination reason: Unknown
% 1.38/0.55 % (4775)Termination phase: Saturation
% 1.38/0.55
% 1.38/0.55 % (4775)Memory used [KB]: 6140
% 1.38/0.55 % (4775)Time elapsed: 0.007 s
% 1.38/0.55 % (4775)Instructions burned: 8 (million)
% 1.38/0.55 % (4775)------------------------------
% 1.38/0.55 % (4775)------------------------------
% 1.38/0.56 % (4778)Instruction limit reached!
% 1.38/0.56 % (4778)------------------------------
% 1.38/0.56 % (4778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.56 % (4778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.56 % (4778)Termination reason: Unknown
% 1.38/0.56 % (4778)Termination phase: Preprocessing 3
% 1.38/0.56
% 1.38/0.56 % (4778)Memory used [KB]: 1535
% 1.38/0.56 % (4778)Time elapsed: 0.004 s
% 1.38/0.56 % (4778)Instructions burned: 3 (million)
% 1.38/0.56 % (4778)------------------------------
% 1.38/0.56 % (4778)------------------------------
% 1.38/0.56 % (4791)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.38/0.56 % (4777)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.38/0.56 % (4779)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.38/0.56 % (4767)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.38/0.56 % (4770)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.38/0.56 % (4779)Instruction limit reached!
% 1.38/0.56 % (4779)------------------------------
% 1.38/0.56 % (4779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.56 % (4779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.56 % (4779)Termination reason: Unknown
% 1.38/0.56 % (4779)Termination phase: Function definition elimination
% 1.38/0.56
% 1.38/0.56 % (4779)Memory used [KB]: 1791
% 1.38/0.56 % (4779)Time elapsed: 0.006 s
% 1.38/0.56 % (4779)Instructions burned: 8 (million)
% 1.38/0.56 % (4779)------------------------------
% 1.38/0.56 % (4779)------------------------------
% 1.38/0.56 % (4783)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.38/0.56 % (4769)Instruction limit reached!
% 1.38/0.56 % (4769)------------------------------
% 1.38/0.56 % (4769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.56 % (4769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.56 % (4769)Termination reason: Unknown
% 1.38/0.56 % (4769)Termination phase: Saturation
% 1.38/0.56
% 1.38/0.56 % (4769)Memory used [KB]: 1791
% 1.38/0.56 % (4769)Time elapsed: 0.134 s
% 1.38/0.56 % (4769)Instructions burned: 15 (million)
% 1.38/0.56 % (4769)------------------------------
% 1.38/0.56 % (4769)------------------------------
% 1.38/0.56 % (4780)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.38/0.56 % (4768)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.38/0.56 % (4793)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.38/0.56 % (4774)Instruction limit reached!
% 1.38/0.56 % (4774)------------------------------
% 1.38/0.56 % (4774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.56 % (4774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.56 % (4774)Termination reason: Unknown
% 1.38/0.56 % (4774)Termination phase: Saturation
% 1.38/0.56
% 1.38/0.56 % (4774)Memory used [KB]: 6268
% 1.38/0.56 % (4774)Time elapsed: 0.132 s
% 1.38/0.56 % (4774)Instructions burned: 12 (million)
% 1.38/0.56 % (4774)------------------------------
% 1.38/0.56 % (4774)------------------------------
% 1.38/0.57 % (4782)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.38/0.57 % (4788)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.38/0.57 % (4782)Instruction limit reached!
% 1.38/0.57 % (4782)------------------------------
% 1.38/0.57 % (4782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.57 % (4782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.57 % (4782)Termination reason: Unknown
% 1.38/0.57 % (4782)Termination phase: Preprocessing 3
% 1.38/0.57
% 1.38/0.57 % (4782)Memory used [KB]: 1535
% 1.38/0.57 % (4782)Time elapsed: 0.003 s
% 1.38/0.57 % (4782)Instructions burned: 3 (million)
% 1.38/0.57 % (4782)------------------------------
% 1.38/0.57 % (4782)------------------------------
% 1.38/0.57 % (4768)Instruction limit reached!
% 1.38/0.57 % (4768)------------------------------
% 1.38/0.57 % (4768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.57 % (4768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.57 % (4768)Termination reason: Unknown
% 1.38/0.57 % (4768)Termination phase: Saturation
% 1.38/0.57
% 1.38/0.57 % (4768)Memory used [KB]: 6268
% 1.38/0.57 % (4768)Time elapsed: 0.151 s
% 1.38/0.57 % (4768)Instructions burned: 13 (million)
% 1.38/0.57 % (4768)------------------------------
% 1.38/0.57 % (4768)------------------------------
% 1.38/0.57 % (4789)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.38/0.57 % (4787)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.38/0.57 % (4786)First to succeed.
% 1.38/0.58 % (4786)Refutation found. Thanks to Tanya!
% 1.38/0.58 % SZS status Theorem for theBenchmark
% 1.38/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.38/0.58 % (4786)------------------------------
% 1.38/0.58 % (4786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.58 % (4786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.58 % (4786)Termination reason: Refutation
% 1.38/0.58
% 1.38/0.58 % (4786)Memory used [KB]: 6652
% 1.38/0.58 % (4786)Time elapsed: 0.113 s
% 1.38/0.58 % (4786)Instructions burned: 20 (million)
% 1.38/0.58 % (4786)------------------------------
% 1.38/0.58 % (4786)------------------------------
% 1.38/0.58 % (4763)Success in time 0.213 s
%------------------------------------------------------------------------------