TSTP Solution File: SWC420+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC420+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 : n010.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 18:41:06 EDT 2022
% Result : Theorem 1.81s 0.62s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 17
% Syntax : Number of formulae : 79 ( 9 unt; 0 def)
% Number of atoms : 441 ( 158 equ)
% Maximal formula atoms : 36 ( 5 avg)
% Number of connectives : 605 ( 243 ~; 226 |; 109 &)
% ( 4 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 168 ( 128 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f309,plain,
$false,
inference(avatar_sat_refutation,[],[f202,f282,f308]) ).
fof(f308,plain,
( ~ spl8_2
| ~ spl8_3 ),
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f307,plain,
( $false
| ~ spl8_2
| ~ spl8_3 ),
inference(subsumption_resolution,[],[f306,f195]) ).
fof(f195,plain,
( ssList(nil)
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f194,plain,
( spl8_3
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
fof(f306,plain,
( ~ ssList(nil)
| ~ spl8_2 ),
inference(resolution,[],[f300,f182]) ).
fof(f182,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f180]) ).
fof(f180,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( ~ ssList(X0)
| X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ( X0 != X1
| ~ neq(X0,X1) )
& ( neq(X0,X1)
| X0 = X1 ) )
| ~ ssList(X1) ) ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( X0 != X1
<=> neq(X0,X1) )
| ~ ssList(X1) ) ),
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(f300,plain,
( neq(nil,nil)
| ~ spl8_2 ),
inference(backward_demodulation,[],[f173,f190]) ).
fof(f190,plain,
( nil = sK3
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl8_2
<=> nil = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f173,plain,
neq(sK3,nil),
inference(definition_unfolding,[],[f142,f140]) ).
fof(f140,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
( ssList(sK0)
& ssList(sK1)
& ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != sK0
| app(app(X5,cons(X4,nil)),X6) != sK1 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(sK1,nil)
& ssList(sK3)
& sK1 = sK3
& sK2 = sK0
& ( nil != sK3
| nil = sK2 )
& ! [X7] :
( ! [X8] :
( app(cons(X7,nil),X8) != sK3
| app(X8,cons(X7,nil)) = sK2
| ~ ssList(X8) )
| ~ ssItem(X7) )
& ssList(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f105,f122,f121,f120,f119]) ).
fof(f119,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != X0
| app(app(X5,cons(X4,nil)),X6) != X1 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(X1,nil)
& ssList(X3)
& X1 = X3
& X0 = X2
& ( nil != X3
| nil = X2 )
& ! [X7] :
( ! [X8] :
( app(cons(X7,nil),X8) != X3
| app(X8,cons(X7,nil)) = X2
| ~ ssList(X8) )
| ~ ssItem(X7) ) )
& ssList(X2) ) ) )
=> ( ssList(sK0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != sK0
| app(app(X5,cons(X4,nil)),X6) != X1 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(X1,nil)
& ssList(X3)
& X1 = X3
& sK0 = X2
& ( nil != X3
| nil = X2 )
& ! [X7] :
( ! [X8] :
( app(cons(X7,nil),X8) != X3
| app(X8,cons(X7,nil)) = X2
| ~ ssList(X8) )
| ~ ssItem(X7) ) )
& ssList(X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != sK0
| app(app(X5,cons(X4,nil)),X6) != X1 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(X1,nil)
& ssList(X3)
& X1 = X3
& sK0 = X2
& ( nil != X3
| nil = X2 )
& ! [X7] :
( ! [X8] :
( app(cons(X7,nil),X8) != X3
| app(X8,cons(X7,nil)) = X2
| ~ ssList(X8) )
| ~ ssItem(X7) ) )
& ssList(X2) ) )
=> ( ssList(sK1)
& ? [X2] :
( ? [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != sK0
| app(app(X5,cons(X4,nil)),X6) != sK1 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(sK1,nil)
& ssList(X3)
& sK1 = X3
& sK0 = X2
& ( nil != X3
| nil = X2 )
& ! [X7] :
( ! [X8] :
( app(cons(X7,nil),X8) != X3
| app(X8,cons(X7,nil)) = X2
| ~ ssList(X8) )
| ~ ssItem(X7) ) )
& ssList(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
( ? [X2] :
( ? [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != sK0
| app(app(X5,cons(X4,nil)),X6) != sK1 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(sK1,nil)
& ssList(X3)
& sK1 = X3
& sK0 = X2
& ( nil != X3
| nil = X2 )
& ! [X7] :
( ! [X8] :
( app(cons(X7,nil),X8) != X3
| app(X8,cons(X7,nil)) = X2
| ~ ssList(X8) )
| ~ ssItem(X7) ) )
& ssList(X2) )
=> ( ? [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != sK0
| app(app(X5,cons(X4,nil)),X6) != sK1 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(sK1,nil)
& ssList(X3)
& sK1 = X3
& sK2 = sK0
& ( nil != X3
| nil = sK2 )
& ! [X7] :
( ! [X8] :
( app(cons(X7,nil),X8) != X3
| app(X8,cons(X7,nil)) = sK2
| ~ ssList(X8) )
| ~ ssItem(X7) ) )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
( ? [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != sK0
| app(app(X5,cons(X4,nil)),X6) != sK1 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(sK1,nil)
& ssList(X3)
& sK1 = X3
& sK2 = sK0
& ( nil != X3
| nil = sK2 )
& ! [X7] :
( ! [X8] :
( app(cons(X7,nil),X8) != X3
| app(X8,cons(X7,nil)) = sK2
| ~ ssList(X8) )
| ~ ssItem(X7) ) )
=> ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != sK0
| app(app(X5,cons(X4,nil)),X6) != sK1 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(sK1,nil)
& ssList(sK3)
& sK1 = sK3
& sK2 = sK0
& ( nil != sK3
| nil = sK2 )
& ! [X7] :
( ! [X8] :
( app(cons(X7,nil),X8) != sK3
| app(X8,cons(X7,nil)) = sK2
| ~ ssList(X8) )
| ~ ssItem(X7) ) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != X0
| app(app(X5,cons(X4,nil)),X6) != X1 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(X1,nil)
& ssList(X3)
& X1 = X3
& X0 = X2
& ( nil != X3
| nil = X2 )
& ! [X7] :
( ! [X8] :
( app(cons(X7,nil),X8) != X3
| app(X8,cons(X7,nil)) = X2
| ~ ssList(X8) )
| ~ ssItem(X7) ) )
& ssList(X2) ) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ neq(X1,nil)
| X1 != X3
| X0 != X2
| ? [X7] :
( ? [X8] :
( app(X8,cons(X7,nil)) != X2
& ssList(X8)
& app(cons(X7,nil),X8) = X3 )
& ssItem(X7) )
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ? [X6] :
( app(app(X6,cons(X4,nil)),X5) = X0
& app(app(X5,cons(X4,nil)),X6) = X1
& ssList(X6) )
& ssList(X5) ) )
| ( nil != X2
& nil = X3 )
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ neq(X1,nil)
| X1 != X3
| X0 != X2
| ? [X7] :
( ? [X8] :
( app(X8,cons(X7,nil)) != X2
& ssList(X8)
& app(cons(X7,nil),X8) = X3 )
& ssItem(X7) )
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ? [X6] :
( app(app(X6,cons(X4,nil)),X5) = X0
& app(app(X5,cons(X4,nil)),X6) = X1
& ssList(X6) )
& ssList(X5) ) )
| ( nil != X2
& nil = X3 )
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f142,plain,
neq(sK1,nil),
inference(cnf_transformation,[],[f123]) ).
fof(f282,plain,
( spl8_2
| ~ spl8_3 ),
inference(avatar_contradiction_clause,[],[f281]) ).
fof(f281,plain,
( $false
| spl8_2
| ~ spl8_3 ),
inference(subsumption_resolution,[],[f280,f191]) ).
fof(f191,plain,
( nil != sK3
| spl8_2 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f280,plain,
( nil = sK3
| spl8_2
| ~ spl8_3 ),
inference(subsumption_resolution,[],[f279,f141]) ).
fof(f141,plain,
ssList(sK3),
inference(cnf_transformation,[],[f123]) ).
fof(f279,plain,
( ~ ssList(sK3)
| nil = sK3
| spl8_2
| ~ spl8_3 ),
inference(resolution,[],[f278,f152]) ).
fof(f152,plain,
! [X0] :
( ssItem(sK5(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ( cons(sK5(X0),sK4(X0)) = X0
& ssItem(sK5(X0))
& ssList(sK4(X0)) )
| ~ ssList(X0)
| nil = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f110,f127,f126]) ).
fof(f126,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
=> ( ? [X2] :
( cons(X2,sK4(X0)) = X0
& ssItem(X2) )
& ssList(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
! [X0] :
( ? [X2] :
( cons(X2,sK4(X0)) = X0
& ssItem(X2) )
=> ( cons(sK5(X0),sK4(X0)) = X0
& ssItem(sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| ~ ssList(X0)
| nil = X0 ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f278,plain,
( ~ ssItem(sK5(sK3))
| spl8_2
| ~ spl8_3 ),
inference(subsumption_resolution,[],[f277,f195]) ).
fof(f277,plain,
( ~ ssList(nil)
| ~ ssItem(sK5(sK3))
| spl8_2
| ~ spl8_3 ),
inference(resolution,[],[f276,f164]) ).
fof(f164,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ssList(cons(X1,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(f276,plain,
( ~ ssList(cons(sK5(sK3),nil))
| spl8_2
| ~ spl8_3 ),
inference(subsumption_resolution,[],[f275,f141]) ).
fof(f275,plain,
( ~ ssList(sK3)
| ~ ssList(cons(sK5(sK3),nil))
| spl8_2
| ~ spl8_3 ),
inference(subsumption_resolution,[],[f274,f191]) ).
fof(f274,plain,
( ~ ssList(cons(sK5(sK3),nil))
| ~ ssList(sK3)
| nil = sK3
| ~ spl8_3 ),
inference(equality_resolution,[],[f273]) ).
fof(f273,plain,
( ! [X0] :
( sK3 != X0
| nil = X0
| ~ ssList(cons(sK5(X0),nil))
| ~ ssList(X0) )
| ~ spl8_3 ),
inference(subsumption_resolution,[],[f272,f151]) ).
fof(f151,plain,
! [X0] :
( ssList(sK4(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f128]) ).
fof(f272,plain,
( ! [X0] :
( nil = X0
| ~ ssList(sK4(X0))
| ~ ssList(cons(sK5(X0),nil))
| ~ ssList(X0)
| sK3 != X0 )
| ~ spl8_3 ),
inference(subsumption_resolution,[],[f271,f152]) ).
fof(f271,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| ~ ssItem(sK5(X0))
| ~ ssList(sK4(X0))
| sK3 != X0
| ~ ssList(cons(sK5(X0),nil)) )
| ~ spl8_3 ),
inference(superposition,[],[f264,f153]) ).
fof(f153,plain,
! [X0] :
( cons(sK5(X0),sK4(X0)) = X0
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f128]) ).
fof(f264,plain,
( ! [X2,X3] :
( sK3 != cons(X2,X3)
| ~ ssList(cons(X2,nil))
| ~ ssItem(X2)
| ~ ssList(X3) )
| ~ spl8_3 ),
inference(duplicate_literal_removal,[],[f257]) ).
fof(f257,plain,
( ! [X2,X3] :
( ~ ssList(X3)
| sK3 != cons(X2,X3)
| ~ ssItem(X2)
| ~ ssItem(X2)
| ~ ssList(cons(X2,nil))
| ~ ssList(X3) )
| ~ spl8_3 ),
inference(superposition,[],[f222,f162]) ).
fof(f162,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),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(f222,plain,
( ! [X2,X1] :
( sK3 != app(cons(X1,nil),X2)
| ~ ssList(X2)
| ~ ssList(cons(X1,nil))
| ~ ssItem(X1) )
| ~ spl8_3 ),
inference(subsumption_resolution,[],[f214,f134]) ).
fof(f134,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ssList(app(X0,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(f214,plain,
( ! [X2,X1] :
( ~ ssList(app(X2,cons(X1,nil)))
| ~ ssList(cons(X1,nil))
| sK3 != app(cons(X1,nil),X2)
| ~ ssList(X2)
| ~ ssItem(X1) )
| ~ spl8_3 ),
inference(subsumption_resolution,[],[f211,f175]) ).
fof(f175,plain,
! [X8,X7] :
( app(cons(X7,nil),X8) != sK3
| app(X8,cons(X7,nil)) = sK0
| ~ ssItem(X7)
| ~ ssList(X8) ),
inference(definition_unfolding,[],[f137,f139]) ).
fof(f139,plain,
sK2 = sK0,
inference(cnf_transformation,[],[f123]) ).
fof(f137,plain,
! [X8,X7] :
( app(cons(X7,nil),X8) != sK3
| app(X8,cons(X7,nil)) = sK2
| ~ ssList(X8)
| ~ ssItem(X7) ),
inference(cnf_transformation,[],[f123]) ).
fof(f211,plain,
( ! [X2,X1] :
( sK0 != app(X2,cons(X1,nil))
| sK3 != app(cons(X1,nil),X2)
| ~ ssList(cons(X1,nil))
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,nil))) )
| ~ spl8_3 ),
inference(superposition,[],[f205,f159]) ).
fof(f159,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,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(f205,plain,
( ! [X2,X1] :
( sK3 != app(app(nil,cons(X2,nil)),X1)
| ~ ssList(app(X1,cons(X2,nil)))
| ~ ssItem(X2)
| app(X1,cons(X2,nil)) != sK0
| ~ ssList(X1) )
| ~ spl8_3 ),
inference(subsumption_resolution,[],[f204,f195]) ).
fof(f204,plain,
! [X2,X1] :
( ~ ssList(X1)
| app(X1,cons(X2,nil)) != sK0
| ~ ssItem(X2)
| ~ ssList(nil)
| ~ ssList(app(X1,cons(X2,nil)))
| sK3 != app(app(nil,cons(X2,nil)),X1) ),
inference(superposition,[],[f172,f146]) ).
fof(f146,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,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(f172,plain,
! [X6,X4,X5] :
( app(app(X6,cons(X4,nil)),X5) != sK0
| ~ ssList(X5)
| ~ ssItem(X4)
| app(app(X5,cons(X4,nil)),X6) != sK3
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f143,f140]) ).
fof(f143,plain,
! [X6,X4,X5] :
( ~ ssList(X6)
| app(app(X6,cons(X4,nil)),X5) != sK0
| app(app(X5,cons(X4,nil)),X6) != sK1
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f123]) ).
fof(f202,plain,
spl8_3,
inference(avatar_split_clause,[],[f150,f194]) ).
fof(f150,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC420+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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n010.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 18:47:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (1235)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)
% 0.19/0.50 % (1227)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)
% 0.19/0.51 % (1224)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)
% 0.19/0.52 % (1224)Instruction limit reached!
% 0.19/0.52 % (1224)------------------------------
% 0.19/0.52 % (1224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (1232)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)
% 0.19/0.53 % (1235)Instruction limit reached!
% 0.19/0.53 % (1235)------------------------------
% 0.19/0.53 % (1235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (1235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1235)Termination reason: Unknown
% 0.19/0.53 % (1235)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (1235)Memory used [KB]: 2046
% 0.19/0.53 % (1235)Time elapsed: 0.133 s
% 0.19/0.53 % (1235)Instructions burned: 16 (million)
% 0.19/0.53 % (1235)------------------------------
% 0.19/0.53 % (1235)------------------------------
% 0.19/0.53 % (1224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1224)Termination reason: Unknown
% 0.19/0.53 % (1224)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (1224)Memory used [KB]: 6396
% 0.19/0.53 % (1224)Time elapsed: 0.092 s
% 0.19/0.53 % (1224)Instructions burned: 13 (million)
% 0.19/0.53 % (1224)------------------------------
% 0.19/0.53 % (1224)------------------------------
% 0.19/0.53 % (1227)Instruction limit reached!
% 0.19/0.53 % (1227)------------------------------
% 0.19/0.53 % (1227)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (1227)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1227)Termination reason: Unknown
% 0.19/0.53 % (1227)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (1227)Memory used [KB]: 6268
% 0.19/0.53 % (1227)Time elapsed: 0.130 s
% 0.19/0.53 % (1227)Instructions burned: 13 (million)
% 0.19/0.53 % (1227)------------------------------
% 0.19/0.53 % (1227)------------------------------
% 0.19/0.54 % (1243)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)
% 0.19/0.56 % (1251)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)
% 1.50/0.57 % (1229)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)
% 1.50/0.58 % (1222)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.50/0.58 % (1232)Instruction limit reached!
% 1.50/0.58 % (1232)------------------------------
% 1.50/0.58 % (1232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.58 % (1232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.58 % (1232)Termination reason: Unknown
% 1.50/0.58 % (1232)Termination phase: Saturation
% 1.50/0.58
% 1.50/0.58 % (1232)Memory used [KB]: 6652
% 1.50/0.58 % (1251)Instruction limit reached!
% 1.50/0.58 % (1251)------------------------------
% 1.50/0.58 % (1251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.58 % (1232)Time elapsed: 0.140 s
% 1.50/0.58 % (1251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.58 % (1251)Termination reason: Unknown
% 1.50/0.58 % (1251)Termination phase: Equality resolution with deletion
% 1.50/0.58
% 1.50/0.58 % (1251)Memory used [KB]: 1791
% 1.50/0.58 % (1251)Time elapsed: 0.008 s
% 1.50/0.58 % (1251)Instructions burned: 8 (million)
% 1.50/0.58 % (1251)------------------------------
% 1.50/0.58 % (1251)------------------------------
% 1.50/0.58 % (1232)Instructions burned: 34 (million)
% 1.50/0.58 % (1232)------------------------------
% 1.50/0.58 % (1232)------------------------------
% 1.81/0.59 % (1246)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)
% 1.81/0.59 % (1238)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)
% 1.81/0.60 % (1229)First to succeed.
% 1.81/0.60 % (1228)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)
% 1.81/0.60 % (1248)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)
% 1.81/0.60 % (1239)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)
% 1.81/0.60 % (1233)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)
% 1.81/0.60 % (1234)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)
% 1.81/0.60 % (1245)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)
% 1.81/0.61 % (1233)Refutation not found, incomplete strategy% (1233)------------------------------
% 1.81/0.61 % (1233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.61 % (1233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.61 % (1233)Termination reason: Refutation not found, incomplete strategy
% 1.81/0.61
% 1.81/0.61 % (1233)Memory used [KB]: 6140
% 1.81/0.61 % (1233)Time elapsed: 0.184 s
% 1.81/0.61 % (1233)Instructions burned: 6 (million)
% 1.81/0.61 % (1233)------------------------------
% 1.81/0.61 % (1233)------------------------------
% 1.81/0.61 % (1230)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)
% 1.81/0.61 % (1234)Instruction limit reached!
% 1.81/0.61 % (1234)------------------------------
% 1.81/0.61 % (1234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.61 % (1234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.61 % (1234)Termination reason: Unknown
% 1.81/0.61 % (1234)Termination phase: Saturation
% 1.81/0.61
% 1.81/0.61 % (1234)Memory used [KB]: 6140
% 1.81/0.61 % (1234)Time elapsed: 0.184 s
% 1.81/0.61 % (1234)Instructions burned: 8 (million)
% 1.81/0.61 % (1234)------------------------------
% 1.81/0.61 % (1234)------------------------------
% 1.81/0.61 % (1237)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)
% 1.81/0.61 % (1237)Instruction limit reached!
% 1.81/0.61 % (1237)------------------------------
% 1.81/0.61 % (1237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.61 % (1237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.61 % (1237)Termination reason: Unknown
% 1.81/0.61 % (1237)Termination phase: Preprocessing 3
% 1.81/0.61
% 1.81/0.61 % (1237)Memory used [KB]: 1535
% 1.81/0.61 % (1237)Time elapsed: 0.003 s
% 1.81/0.61 % (1237)Instructions burned: 3 (million)
% 1.81/0.61 % (1237)------------------------------
% 1.81/0.61 % (1237)------------------------------
% 1.81/0.61 % (1247)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)
% 1.81/0.61 % (1244)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)
% 1.81/0.61 % (1240)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.81/0.62 % (1240)Instruction limit reached!
% 1.81/0.62 % (1240)------------------------------
% 1.81/0.62 % (1240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.62 % (1240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.62 % (1240)Termination reason: Unknown
% 1.81/0.62 % (1240)Termination phase: Naming
% 1.81/0.62
% 1.81/0.62 % (1240)Memory used [KB]: 1663
% 1.81/0.62 % (1240)Time elapsed: 0.004 s
% 1.81/0.62 % (1240)Instructions burned: 3 (million)
% 1.81/0.62 % (1240)------------------------------
% 1.81/0.62 % (1240)------------------------------
% 1.81/0.62 % (1238)Instruction limit reached!
% 1.81/0.62 % (1238)------------------------------
% 1.81/0.62 % (1238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.62 % (1238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.62 % (1238)Termination reason: Unknown
% 1.81/0.62 % (1238)Termination phase: Property scanning
% 1.81/0.62
% 1.81/0.62 % (1238)Memory used [KB]: 1791
% 1.81/0.62 % (1238)Time elapsed: 0.007 s
% 1.81/0.62 % (1238)Instructions burned: 7 (million)
% 1.81/0.62 % (1238)------------------------------
% 1.81/0.62 % (1238)------------------------------
% 1.81/0.62 % (1225)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)
% 1.81/0.62 % (1231)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)
% 1.81/0.62 % (1252)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)
% 1.81/0.62 % (1225)Instruction limit reached!
% 1.81/0.62 % (1225)------------------------------
% 1.81/0.62 % (1225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.62 % (1225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.62 % (1225)Termination reason: Unknown
% 1.81/0.62 % (1225)Termination phase: Preprocessing 3
% 1.81/0.62
% 1.81/0.62 % (1225)Memory used [KB]: 1535
% 1.81/0.62 % (1225)Time elapsed: 0.003 s
% 1.81/0.62 % (1225)Instructions burned: 3 (million)
% 1.81/0.62 % (1225)------------------------------
% 1.81/0.62 % (1225)------------------------------
% 1.81/0.62 % (1226)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)
% 1.81/0.62 % (1229)Refutation found. Thanks to Tanya!
% 1.81/0.62 % SZS status Theorem for theBenchmark
% 1.81/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.81/0.62 % (1229)------------------------------
% 1.81/0.62 % (1229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.62 % (1229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.62 % (1229)Termination reason: Refutation
% 1.81/0.62
% 1.81/0.62 % (1229)Memory used [KB]: 6140
% 1.81/0.62 % (1229)Time elapsed: 0.173 s
% 1.81/0.62 % (1229)Instructions burned: 9 (million)
% 1.81/0.62 % (1229)------------------------------
% 1.81/0.62 % (1229)------------------------------
% 1.81/0.62 % (1221)Success in time 0.256 s
%------------------------------------------------------------------------------