TSTP Solution File: SWC327+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC327+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 : n014.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 18:43:11 EDT 2022
% Result : Theorem 1.73s 0.61s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 77 ( 7 unt; 0 def)
% Number of atoms : 567 ( 223 equ)
% Maximal formula atoms : 38 ( 7 avg)
% Number of connectives : 750 ( 260 ~; 238 |; 217 &)
% ( 3 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 202 ( 121 !; 81 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1022,plain,
$false,
inference(avatar_sat_refutation,[],[f642,f647,f652,f962]) ).
fof(f962,plain,
~ spl62_6,
inference(avatar_contradiction_clause,[],[f961]) ).
fof(f961,plain,
( $false
| ~ spl62_6 ),
inference(subsumption_resolution,[],[f955,f712]) ).
fof(f712,plain,
( ssList(sK32(sK35,sK37))
| ~ spl62_6 ),
inference(subsumption_resolution,[],[f711,f453]) ).
fof(f453,plain,
equalelemsP(sK35),
inference(cnf_transformation,[],[f303]) ).
fof(f303,plain,
( ssList(sK33)
& ssList(sK34)
& ( ( nil != sK34
& nil = sK33 )
| sP2(sK34,sK33) )
& ( nil != sK35
| nil = sK36 )
& sK33 = sK35
& ssList(sK36)
& ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != sK37
| ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X5,nil)) != sK35 ) )
| ~ ssItem(X5) )
& ssList(sK37)
& app(sK35,sK37) = sK36
& equalelemsP(sK35)
& sK34 = sK36
& ssList(sK35) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33,sK34,sK35,sK36,sK37])],[f297,f302,f301,f300,f299,f298]) ).
fof(f298,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = X0 )
| sP2(X1,X0) )
& ( nil != X2
| nil = X3 )
& X0 = X2
& ssList(X3)
& ? [X4] :
( ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X5,nil)) != X2 ) )
| ~ ssItem(X5) )
& ssList(X4)
& app(X2,X4) = X3
& equalelemsP(X2) )
& X1 = X3 )
& ssList(X2) ) ) )
=> ( ssList(sK33)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = sK33 )
| sP2(X1,sK33) )
& ( nil != X2
| nil = X3 )
& sK33 = X2
& ssList(X3)
& ? [X4] :
( ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X5,nil)) != X2 ) )
| ~ ssItem(X5) )
& ssList(X4)
& app(X2,X4) = X3
& equalelemsP(X2) )
& X1 = X3 )
& ssList(X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f299,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = sK33 )
| sP2(X1,sK33) )
& ( nil != X2
| nil = X3 )
& sK33 = X2
& ssList(X3)
& ? [X4] :
( ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X5,nil)) != X2 ) )
| ~ ssItem(X5) )
& ssList(X4)
& app(X2,X4) = X3
& equalelemsP(X2) )
& X1 = X3 )
& ssList(X2) ) )
=> ( ssList(sK34)
& ? [X2] :
( ? [X3] :
( ( ( nil != sK34
& nil = sK33 )
| sP2(sK34,sK33) )
& ( nil != X2
| nil = X3 )
& sK33 = X2
& ssList(X3)
& ? [X4] :
( ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X5,nil)) != X2 ) )
| ~ ssItem(X5) )
& ssList(X4)
& app(X2,X4) = X3
& equalelemsP(X2) )
& sK34 = X3 )
& ssList(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f300,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil != sK34
& nil = sK33 )
| sP2(sK34,sK33) )
& ( nil != X2
| nil = X3 )
& sK33 = X2
& ssList(X3)
& ? [X4] :
( ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X5,nil)) != X2 ) )
| ~ ssItem(X5) )
& ssList(X4)
& app(X2,X4) = X3
& equalelemsP(X2) )
& sK34 = X3 )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil != sK34
& nil = sK33 )
| sP2(sK34,sK33) )
& ( nil != sK35
| nil = X3 )
& sK33 = sK35
& ssList(X3)
& ? [X4] :
( ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X5,nil)) != sK35 ) )
| ~ ssItem(X5) )
& ssList(X4)
& app(sK35,X4) = X3
& equalelemsP(sK35) )
& sK34 = X3 )
& ssList(sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f301,plain,
( ? [X3] :
( ( ( nil != sK34
& nil = sK33 )
| sP2(sK34,sK33) )
& ( nil != sK35
| nil = X3 )
& sK33 = sK35
& ssList(X3)
& ? [X4] :
( ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X5,nil)) != sK35 ) )
| ~ ssItem(X5) )
& ssList(X4)
& app(sK35,X4) = X3
& equalelemsP(sK35) )
& sK34 = X3 )
=> ( ( ( nil != sK34
& nil = sK33 )
| sP2(sK34,sK33) )
& ( nil != sK35
| nil = sK36 )
& sK33 = sK35
& ssList(sK36)
& ? [X4] :
( ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X5,nil)) != sK35 ) )
| ~ ssItem(X5) )
& ssList(X4)
& app(sK35,X4) = sK36
& equalelemsP(sK35) )
& sK34 = sK36 ) ),
introduced(choice_axiom,[]) ).
fof(f302,plain,
( ? [X4] :
( ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X5,nil)) != sK35 ) )
| ~ ssItem(X5) )
& ssList(X4)
& app(sK35,X4) = sK36
& equalelemsP(sK35) )
=> ( ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != sK37
| ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X5,nil)) != sK35 ) )
| ~ ssItem(X5) )
& ssList(sK37)
& app(sK35,sK37) = sK36
& equalelemsP(sK35) ) ),
introduced(choice_axiom,[]) ).
fof(f297,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = X0 )
| sP2(X1,X0) )
& ( nil != X2
| nil = X3 )
& X0 = X2
& ssList(X3)
& ? [X4] :
( ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X5,nil)) != X2 ) )
| ~ ssItem(X5) )
& ssList(X4)
& app(X2,X4) = X3
& equalelemsP(X2) )
& X1 = X3 )
& ssList(X2) ) ) ),
inference(rectify,[],[f228]) ).
fof(f228,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = X0 )
| sP2(X1,X0) )
& ( nil != X2
| nil = X3 )
& X0 = X2
& ssList(X3)
& ? [X8] :
( ! [X9] :
( ! [X10] :
( app(cons(X9,nil),X10) != X8
| ~ ssList(X10)
| ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X9,nil)) != X2 ) )
| ~ ssItem(X9) )
& ssList(X8)
& app(X2,X8) = X3
& equalelemsP(X2) )
& X1 = X3 )
& ssList(X2) ) ) ),
inference(definition_folding,[],[f206,f227]) ).
fof(f227,plain,
! [X1,X0] :
( ! [X4] :
( app(X0,X4) != X1
| ~ ssList(X4)
| ~ equalelemsP(X0)
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ssList(X7)
& app(X7,cons(X5,nil)) = X0 ) ) ) )
| ~ sP2(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f206,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = X0 )
| ! [X4] :
( app(X0,X4) != X1
| ~ ssList(X4)
| ~ equalelemsP(X0)
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ssList(X7)
& app(X7,cons(X5,nil)) = X0 ) ) ) ) )
& ( nil != X2
| nil = X3 )
& X0 = X2
& ssList(X3)
& ? [X8] :
( ! [X9] :
( ! [X10] :
( app(cons(X9,nil),X10) != X8
| ~ ssList(X10)
| ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X9,nil)) != X2 ) )
| ~ ssItem(X9) )
& ssList(X8)
& app(X2,X8) = X3
& equalelemsP(X2) )
& X1 = X3 )
& ssList(X2) ) ) ),
inference(flattening,[],[f205]) ).
fof(f205,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X8] :
( app(X2,X8) = X3
& ! [X9] :
( ! [X10] :
( app(cons(X9,nil),X10) != X8
| ~ ssList(X10)
| ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X9,nil)) != X2 ) )
| ~ ssItem(X9) )
& equalelemsP(X2)
& ssList(X8) )
& ( nil != X2
| nil = X3 )
& X1 = X3
& ( ( nil != X1
& nil = X0 )
| ! [X4] :
( ~ equalelemsP(X0)
| ~ ssList(X4)
| ? [X5] :
( ? [X6] :
( app(cons(X5,nil),X6) = X4
& ? [X7] :
( ssList(X7)
& app(X7,cons(X5,nil)) = X0 )
& ssList(X6) )
& ssItem(X5) )
| app(X0,X4) != X1 ) )
& X0 = X2
& 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)
=> ( ! [X8] :
( ssList(X8)
=> ( app(X2,X8) != X3
| ? [X9] :
( ssItem(X9)
& ? [X10] :
( ssList(X10)
& ? [X11] :
( app(X11,cons(X9,nil)) = X2
& ssList(X11) )
& app(cons(X9,nil),X10) = X8 ) )
| ~ equalelemsP(X2) ) )
| ( nil = X2
& nil != X3 )
| X1 != X3
| ( ( nil = X1
| nil != X0 )
& ? [X4] :
( equalelemsP(X0)
& ssList(X4)
& ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(cons(X5,nil),X6) != X4
| ! [X7] :
( ssList(X7)
=> app(X7,cons(X5,nil)) != X0 ) ) ) )
& app(X0,X4) = X1 ) )
| X0 != X2 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil = X2
& nil != X3 )
| X1 != X3
| ( ? [X8] :
( app(X0,X8) = X1
& ssList(X8)
& equalelemsP(X0)
& ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> ( app(cons(X9,nil),X10) != X8
| ! [X11] :
( ssList(X11)
=> app(X11,cons(X9,nil)) != X0 ) ) ) ) )
& ( nil = X1
| nil != X0 ) )
| X0 != X2
| ! [X4] :
( ssList(X4)
=> ( ~ equalelemsP(X2)
| app(X2,X4) != X3
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& app(X7,cons(X5,nil)) = X2 )
& app(cons(X5,nil),X6) = X4 ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil = X2
& nil != X3 )
| X1 != X3
| ( ? [X8] :
( app(X0,X8) = X1
& ssList(X8)
& equalelemsP(X0)
& ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> ( app(cons(X9,nil),X10) != X8
| ! [X11] :
( ssList(X11)
=> app(X11,cons(X9,nil)) != X0 ) ) ) ) )
& ( nil = X1
| nil != X0 ) )
| X0 != X2
| ! [X4] :
( ssList(X4)
=> ( ~ equalelemsP(X2)
| app(X2,X4) != X3
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& app(X7,cons(X5,nil)) = X2 )
& app(cons(X5,nil),X6) = X4 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f711,plain,
( ssList(sK32(sK35,sK37))
| ~ equalelemsP(sK35)
| ~ spl62_6 ),
inference(subsumption_resolution,[],[f710,f646]) ).
fof(f646,plain,
( sP2(sK36,sK35)
| ~ spl62_6 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f644,plain,
( spl62_6
<=> sP2(sK36,sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl62_6])]) ).
fof(f710,plain,
( ssList(sK32(sK35,sK37))
| ~ sP2(sK36,sK35)
| ~ equalelemsP(sK35) ),
inference(subsumption_resolution,[],[f708,f455]) ).
fof(f455,plain,
ssList(sK37),
inference(cnf_transformation,[],[f303]) ).
fof(f708,plain,
( ~ ssList(sK37)
| ~ sP2(sK36,sK35)
| ~ equalelemsP(sK35)
| ssList(sK32(sK35,sK37)) ),
inference(superposition,[],[f597,f454]) ).
fof(f454,plain,
app(sK35,sK37) = sK36,
inference(cnf_transformation,[],[f303]) ).
fof(f597,plain,
! [X2,X1] :
( ~ sP2(app(X1,X2),X1)
| ~ equalelemsP(X1)
| ~ ssList(X2)
| ssList(sK32(X1,X2)) ),
inference(equality_resolution,[],[f447]) ).
fof(f447,plain,
! [X2,X0,X1] :
( app(X1,X2) != X0
| ~ ssList(X2)
| ~ equalelemsP(X1)
| ssList(sK32(X1,X2))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
! [X0,X1] :
( ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2)
| ~ equalelemsP(X1)
| ( ssItem(sK30(X1,X2))
& ssList(sK31(X1,X2))
& app(cons(sK30(X1,X2),nil),sK31(X1,X2)) = X2
& ssList(sK32(X1,X2))
& app(sK32(X1,X2),cons(sK30(X1,X2),nil)) = X1 ) )
| ~ sP2(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31,sK32])],[f292,f295,f294,f293]) ).
fof(f293,plain,
! [X1,X2] :
( ? [X3] :
( ssItem(X3)
& ? [X4] :
( ssList(X4)
& app(cons(X3,nil),X4) = X2
& ? [X5] :
( ssList(X5)
& app(X5,cons(X3,nil)) = X1 ) ) )
=> ( ssItem(sK30(X1,X2))
& ? [X4] :
( ssList(X4)
& app(cons(sK30(X1,X2),nil),X4) = X2
& ? [X5] :
( ssList(X5)
& app(X5,cons(sK30(X1,X2),nil)) = X1 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f294,plain,
! [X1,X2] :
( ? [X4] :
( ssList(X4)
& app(cons(sK30(X1,X2),nil),X4) = X2
& ? [X5] :
( ssList(X5)
& app(X5,cons(sK30(X1,X2),nil)) = X1 ) )
=> ( ssList(sK31(X1,X2))
& app(cons(sK30(X1,X2),nil),sK31(X1,X2)) = X2
& ? [X5] :
( ssList(X5)
& app(X5,cons(sK30(X1,X2),nil)) = X1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f295,plain,
! [X1,X2] :
( ? [X5] :
( ssList(X5)
& app(X5,cons(sK30(X1,X2),nil)) = X1 )
=> ( ssList(sK32(X1,X2))
& app(sK32(X1,X2),cons(sK30(X1,X2),nil)) = X1 ) ),
introduced(choice_axiom,[]) ).
fof(f292,plain,
! [X0,X1] :
( ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2)
| ~ equalelemsP(X1)
| ? [X3] :
( ssItem(X3)
& ? [X4] :
( ssList(X4)
& app(cons(X3,nil),X4) = X2
& ? [X5] :
( ssList(X5)
& app(X5,cons(X3,nil)) = X1 ) ) ) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f291]) ).
fof(f291,plain,
! [X1,X0] :
( ! [X4] :
( app(X0,X4) != X1
| ~ ssList(X4)
| ~ equalelemsP(X0)
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ssList(X7)
& app(X7,cons(X5,nil)) = X0 ) ) ) )
| ~ sP2(X1,X0) ),
inference(nnf_transformation,[],[f227]) ).
fof(f955,plain,
( ~ ssList(sK32(sK35,sK37))
| ~ spl62_6 ),
inference(trivial_inequality_removal,[],[f930]) ).
fof(f930,plain,
( ~ ssList(sK32(sK35,sK37))
| sK35 != sK35
| ~ spl62_6 ),
inference(superposition,[],[f854,f927]) ).
fof(f927,plain,
( app(sK32(sK35,sK37),cons(sK30(sK35,sK37),nil)) = sK35
| ~ spl62_6 ),
inference(subsumption_resolution,[],[f926,f455]) ).
fof(f926,plain,
( ~ ssList(sK37)
| app(sK32(sK35,sK37),cons(sK30(sK35,sK37),nil)) = sK35
| ~ spl62_6 ),
inference(subsumption_resolution,[],[f925,f646]) ).
fof(f925,plain,
( ~ sP2(sK36,sK35)
| app(sK32(sK35,sK37),cons(sK30(sK35,sK37),nil)) = sK35
| ~ ssList(sK37) ),
inference(subsumption_resolution,[],[f922,f453]) ).
fof(f922,plain,
( app(sK32(sK35,sK37),cons(sK30(sK35,sK37),nil)) = sK35
| ~ equalelemsP(sK35)
| ~ ssList(sK37)
| ~ sP2(sK36,sK35) ),
inference(superposition,[],[f598,f454]) ).
fof(f598,plain,
! [X2,X1] :
( ~ sP2(app(X1,X2),X1)
| ~ equalelemsP(X1)
| ~ ssList(X2)
| app(sK32(X1,X2),cons(sK30(X1,X2),nil)) = X1 ),
inference(equality_resolution,[],[f446]) ).
fof(f446,plain,
! [X2,X0,X1] :
( app(X1,X2) != X0
| ~ ssList(X2)
| ~ equalelemsP(X1)
| app(sK32(X1,X2),cons(sK30(X1,X2),nil)) = X1
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f296]) ).
fof(f854,plain,
( ! [X0] :
( app(X0,cons(sK30(sK35,sK37),nil)) != sK35
| ~ ssList(X0) )
| ~ spl62_6 ),
inference(subsumption_resolution,[],[f853,f684]) ).
fof(f684,plain,
( ssItem(sK30(sK35,sK37))
| ~ spl62_6 ),
inference(subsumption_resolution,[],[f683,f646]) ).
fof(f683,plain,
( ssItem(sK30(sK35,sK37))
| ~ sP2(sK36,sK35) ),
inference(subsumption_resolution,[],[f682,f453]) ).
fof(f682,plain,
( ~ equalelemsP(sK35)
| ssItem(sK30(sK35,sK37))
| ~ sP2(sK36,sK35) ),
inference(subsumption_resolution,[],[f680,f455]) ).
fof(f680,plain,
( ssItem(sK30(sK35,sK37))
| ~ ssList(sK37)
| ~ sP2(sK36,sK35)
| ~ equalelemsP(sK35) ),
inference(superposition,[],[f594,f454]) ).
fof(f594,plain,
! [X2,X1] :
( ~ sP2(app(X1,X2),X1)
| ~ ssList(X2)
| ssItem(sK30(X1,X2))
| ~ equalelemsP(X1) ),
inference(equality_resolution,[],[f450]) ).
fof(f450,plain,
! [X2,X0,X1] :
( app(X1,X2) != X0
| ~ ssList(X2)
| ~ equalelemsP(X1)
| ssItem(sK30(X1,X2))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f296]) ).
fof(f853,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,cons(sK30(sK35,sK37),nil)) != sK35
| ~ ssItem(sK30(sK35,sK37)) )
| ~ spl62_6 ),
inference(subsumption_resolution,[],[f802,f707]) ).
fof(f707,plain,
( ssList(sK31(sK35,sK37))
| ~ spl62_6 ),
inference(subsumption_resolution,[],[f706,f453]) ).
fof(f706,plain,
( ~ equalelemsP(sK35)
| ssList(sK31(sK35,sK37))
| ~ spl62_6 ),
inference(subsumption_resolution,[],[f705,f455]) ).
fof(f705,plain,
( ssList(sK31(sK35,sK37))
| ~ ssList(sK37)
| ~ equalelemsP(sK35)
| ~ spl62_6 ),
inference(subsumption_resolution,[],[f696,f646]) ).
fof(f696,plain,
( ssList(sK31(sK35,sK37))
| ~ sP2(sK36,sK35)
| ~ ssList(sK37)
| ~ equalelemsP(sK35) ),
inference(superposition,[],[f595,f454]) ).
fof(f595,plain,
! [X2,X1] :
( ~ sP2(app(X1,X2),X1)
| ~ ssList(X2)
| ~ equalelemsP(X1)
| ssList(sK31(X1,X2)) ),
inference(equality_resolution,[],[f449]) ).
fof(f449,plain,
! [X2,X0,X1] :
( app(X1,X2) != X0
| ~ ssList(X2)
| ~ equalelemsP(X1)
| ssList(sK31(X1,X2))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f296]) ).
fof(f802,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sK31(sK35,sK37))
| app(X0,cons(sK30(sK35,sK37),nil)) != sK35
| ~ ssItem(sK30(sK35,sK37)) )
| ~ spl62_6 ),
inference(trivial_inequality_removal,[],[f781]) ).
fof(f781,plain,
( ! [X0] :
( app(X0,cons(sK30(sK35,sK37),nil)) != sK35
| ~ ssList(X0)
| sK37 != sK37
| ~ ssItem(sK30(sK35,sK37))
| ~ ssList(sK31(sK35,sK37)) )
| ~ spl62_6 ),
inference(superposition,[],[f456,f780]) ).
fof(f780,plain,
( app(cons(sK30(sK35,sK37),nil),sK31(sK35,sK37)) = sK37
| ~ spl62_6 ),
inference(subsumption_resolution,[],[f779,f455]) ).
fof(f779,plain,
( ~ ssList(sK37)
| app(cons(sK30(sK35,sK37),nil),sK31(sK35,sK37)) = sK37
| ~ spl62_6 ),
inference(subsumption_resolution,[],[f778,f646]) ).
fof(f778,plain,
( ~ sP2(sK36,sK35)
| app(cons(sK30(sK35,sK37),nil),sK31(sK35,sK37)) = sK37
| ~ ssList(sK37) ),
inference(subsumption_resolution,[],[f776,f453]) ).
fof(f776,plain,
( ~ equalelemsP(sK35)
| app(cons(sK30(sK35,sK37),nil),sK31(sK35,sK37)) = sK37
| ~ sP2(sK36,sK35)
| ~ ssList(sK37) ),
inference(superposition,[],[f596,f454]) ).
fof(f596,plain,
! [X2,X1] :
( ~ sP2(app(X1,X2),X1)
| app(cons(sK30(X1,X2),nil),sK31(X1,X2)) = X2
| ~ ssList(X2)
| ~ equalelemsP(X1) ),
inference(equality_resolution,[],[f448]) ).
fof(f448,plain,
! [X2,X0,X1] :
( app(X1,X2) != X0
| ~ ssList(X2)
| ~ equalelemsP(X1)
| app(cons(sK30(X1,X2),nil),sK31(X1,X2)) = X2
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f296]) ).
fof(f456,plain,
! [X6,X7,X5] :
( app(cons(X5,nil),X6) != sK37
| ~ ssList(X6)
| ~ ssList(X7)
| ~ ssItem(X5)
| app(X7,cons(X5,nil)) != sK35 ),
inference(cnf_transformation,[],[f303]) ).
fof(f652,plain,
( spl62_6
| spl62_4 ),
inference(avatar_split_clause,[],[f579,f635,f644]) ).
fof(f635,plain,
( spl62_4
<=> nil = sK35 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_4])]) ).
fof(f579,plain,
( nil = sK35
| sP2(sK36,sK35) ),
inference(definition_unfolding,[],[f460,f458,f452,f458]) ).
fof(f452,plain,
sK34 = sK36,
inference(cnf_transformation,[],[f303]) ).
fof(f458,plain,
sK33 = sK35,
inference(cnf_transformation,[],[f303]) ).
fof(f460,plain,
( nil = sK33
| sP2(sK34,sK33) ),
inference(cnf_transformation,[],[f303]) ).
fof(f647,plain,
( spl62_6
| ~ spl62_5 ),
inference(avatar_split_clause,[],[f578,f639,f644]) ).
fof(f639,plain,
( spl62_5
<=> nil = sK36 ),
introduced(avatar_definition,[new_symbols(naming,[spl62_5])]) ).
fof(f578,plain,
( nil != sK36
| sP2(sK36,sK35) ),
inference(definition_unfolding,[],[f461,f452,f452,f458]) ).
fof(f461,plain,
( nil != sK34
| sP2(sK34,sK33) ),
inference(cnf_transformation,[],[f303]) ).
fof(f642,plain,
( ~ spl62_4
| spl62_5 ),
inference(avatar_split_clause,[],[f459,f639,f635]) ).
fof(f459,plain,
( nil = sK36
| nil != sK35 ),
inference(cnf_transformation,[],[f303]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC327+1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 18:48:03 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.51 % (1717)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.22/0.52 % (1710)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)
% 0.22/0.52 % (1719)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.22/0.52 % (1716)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)
% 0.22/0.52 % (1712)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)
% 0.22/0.52 % (1718)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)
% 0.22/0.52 % (1737)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.22/0.52 % (1728)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)
% 0.22/0.52 % (1727)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.22/0.53 % (1731)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)
% 0.22/0.53 % (1711)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.53 % (1715)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.53 % (1722)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)
% 0.22/0.53 % (1729)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)
% 0.22/0.53 % (1715)Instruction limit reached!
% 0.22/0.53 % (1715)------------------------------
% 0.22/0.53 % (1715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (1715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (1715)Termination reason: Unknown
% 0.22/0.53 % (1715)Termination phase: Preprocessing 2
% 0.22/0.53
% 0.22/0.53 % (1715)Memory used [KB]: 1023
% 0.22/0.53 % (1715)Time elapsed: 0.003 s
% 0.22/0.53 % (1715)Instructions burned: 2 (million)
% 0.22/0.53 % (1715)------------------------------
% 0.22/0.53 % (1715)------------------------------
% 0.22/0.53 % (1709)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)
% 0.22/0.53 % (1733)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.22/0.53 % (1734)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.22/0.54 % (1725)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)
% 0.22/0.54 % (1707)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)
% 0.22/0.54 % (1708)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)
% 0.22/0.54 % (1720)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.54 % (1713)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)
% 0.22/0.54 % (1724)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)
% 0.22/0.55 % (1732)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)
% 0.22/0.55 % (1726)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.22/0.55 % (1735)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)
% 0.22/0.55 % (1730)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.22/0.55 % (1736)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)
% 0.22/0.55 % (1714)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.56 % (1714)Instruction limit reached!
% 0.22/0.56 % (1714)------------------------------
% 0.22/0.56 % (1714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.56 % (1738)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)
% 1.55/0.58 TRYING [1]
% 1.55/0.58 % (1714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.58 % (1714)Termination reason: Unknown
% 1.55/0.58 % (1714)Termination phase: Function definition elimination
% 1.55/0.58
% 1.55/0.58 % (1714)Memory used [KB]: 1279
% 1.55/0.58 % (1714)Time elapsed: 0.005 s
% 1.55/0.58 % (1714)Instructions burned: 8 (million)
% 1.55/0.58 % (1714)------------------------------
% 1.55/0.58 % (1714)------------------------------
% 1.55/0.58 TRYING [1]
% 1.55/0.58 % (1709)Instruction limit reached!
% 1.55/0.58 % (1709)------------------------------
% 1.55/0.58 % (1709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.58 % (1709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.58 % (1709)Termination reason: Unknown
% 1.55/0.58 % (1709)Termination phase: Saturation
% 1.55/0.58
% 1.55/0.58 % (1709)Memory used [KB]: 1663
% 1.55/0.58 % (1709)Time elapsed: 0.163 s
% 1.55/0.58 % (1709)Instructions burned: 37 (million)
% 1.55/0.58 % (1709)------------------------------
% 1.55/0.58 % (1709)------------------------------
% 1.73/0.58 TRYING [2]
% 1.73/0.59 TRYING [1]
% 1.73/0.59 TRYING [2]
% 1.73/0.59 TRYING [2]
% 1.73/0.60 % (1717)Instruction limit reached!
% 1.73/0.60 % (1717)------------------------------
% 1.73/0.60 % (1717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60 TRYING [3]
% 1.73/0.61 % (1717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.61 % (1717)Termination reason: Unknown
% 1.73/0.61 % (1717)Termination phase: Saturation
% 1.73/0.61
% 1.73/0.61 % (1717)Memory used [KB]: 6652
% 1.73/0.61 % (1717)Time elapsed: 0.197 s
% 1.73/0.61 % (1717)Instructions burned: 50 (million)
% 1.73/0.61 % (1717)------------------------------
% 1.73/0.61 % (1717)------------------------------
% 1.73/0.61 % (1710)Instruction limit reached!
% 1.73/0.61 % (1710)------------------------------
% 1.73/0.61 % (1710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.61 % (1710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.61 % (1710)Termination reason: Unknown
% 1.73/0.61 % (1710)Termination phase: Saturation
% 1.73/0.61
% 1.73/0.61 % (1710)Memory used [KB]: 6652
% 1.73/0.61 % (1710)Time elapsed: 0.205 s
% 1.73/0.61 % (1710)Instructions burned: 51 (million)
% 1.73/0.61 % (1710)------------------------------
% 1.73/0.61 % (1710)------------------------------
% 1.73/0.61 % (1726)Instruction limit reached!
% 1.73/0.61 % (1726)------------------------------
% 1.73/0.61 % (1726)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.61 % (1726)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.61 % (1726)Termination reason: Unknown
% 1.73/0.61 % (1726)Termination phase: Finite model building constraint generation
% 1.73/0.61
% 1.73/0.61 % (1726)Memory used [KB]: 7547
% 1.73/0.61 % (1726)Time elapsed: 0.201 s
% 1.73/0.61 % (1726)Instructions burned: 60 (million)
% 1.73/0.61 % (1726)------------------------------
% 1.73/0.61 % (1726)------------------------------
% 1.73/0.61 % (1708)First to succeed.
% 1.73/0.61 % (1708)Refutation found. Thanks to Tanya!
% 1.73/0.61 % SZS status Theorem for theBenchmark
% 1.73/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.62 % (1708)------------------------------
% 1.73/0.62 % (1708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.62 % (1708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.62 % (1708)Termination reason: Refutation
% 1.73/0.62
% 1.73/0.62 % (1708)Memory used [KB]: 6524
% 1.73/0.62 % (1708)Time elapsed: 0.208 s
% 1.73/0.62 % (1708)Instructions burned: 35 (million)
% 1.73/0.62 % (1708)------------------------------
% 1.73/0.62 % (1708)------------------------------
% 1.73/0.62 % (1706)Success in time 0.251 s
%------------------------------------------------------------------------------