TSTP Solution File: SWC344+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWC344+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 : Fri May 3 03:12:05 EDT 2024
% Result : Theorem 24.89s 4.24s
% Output : CNFRefutation 24.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 18
% Syntax : Number of formulae : 172 ( 18 unt; 0 def)
% Number of atoms : 1336 ( 384 equ)
% Maximal formula atoms : 58 ( 7 avg)
% Number of connectives : 1852 ( 688 ~; 727 |; 381 &)
% ( 0 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 610 ( 0 sgn 293 !; 162 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil = X1
| nil != X0 )
& ? [X14] :
( ? [X15] :
( strictorderedP(X0)
& ! [X20] :
( ssItem(X20)
=> ! [X21] :
( ssList(X21)
=> ( ! [X22] :
( ssItem(X22)
=> ! [X23] :
( ssList(X23)
=> ( ~ lt(X22,X20)
| app(X23,cons(X22,nil)) != X0 ) ) )
| app(cons(X20,nil),X21) != X15 ) ) )
& ! [X16] :
( ssItem(X16)
=> ! [X17] :
( ssList(X17)
=> ( ! [X18] :
( ssItem(X18)
=> ! [X19] :
( ssList(X19)
=> ( ~ lt(X16,X18)
| app(cons(X18,nil),X19) != X0 ) ) )
| app(X17,cons(X16,nil)) != X14 ) ) )
& app(app(X14,X0),X15) = X1
& ssList(X15) )
& ssList(X14) ) )
| ( nil = X2
& nil != X3 )
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( lt(X12,X10)
& app(X13,cons(X12,nil)) = X2
& ssList(X13) )
& ssItem(X12) )
& app(cons(X10,nil),X11) = X5
& ssList(X11) )
& ssItem(X10) )
| ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( lt(X6,X8)
& app(cons(X8,nil),X9) = X2
& ssList(X9) )
& ssItem(X8) )
& app(X7,cons(X6,nil)) = X4
& ssList(X7) )
& ssItem(X6) )
| ~ strictorderedP(X2)
| app(app(X4,X2),X5) != X3 ) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil = X1
| nil != X0 )
& ? [X14] :
( ? [X15] :
( strictorderedP(X0)
& ! [X20] :
( ssItem(X20)
=> ! [X21] :
( ssList(X21)
=> ( ! [X22] :
( ssItem(X22)
=> ! [X23] :
( ssList(X23)
=> ( ~ lt(X22,X20)
| app(X23,cons(X22,nil)) != X0 ) ) )
| app(cons(X20,nil),X21) != X15 ) ) )
& ! [X16] :
( ssItem(X16)
=> ! [X17] :
( ssList(X17)
=> ( ! [X18] :
( ssItem(X18)
=> ! [X19] :
( ssList(X19)
=> ( ~ lt(X16,X18)
| app(cons(X18,nil),X19) != X0 ) ) )
| app(X17,cons(X16,nil)) != X14 ) ) )
& app(app(X14,X0),X15) = X1
& ssList(X15) )
& ssList(X14) ) )
| ( nil = X2
& nil != X3 )
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( lt(X12,X10)
& app(X13,cons(X12,nil)) = X2
& ssList(X13) )
& ssItem(X12) )
& app(cons(X10,nil),X11) = X5
& ssList(X11) )
& ssItem(X10) )
| ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( lt(X6,X8)
& app(cons(X8,nil),X9) = X2
& ssList(X9) )
& ssItem(X8) )
& app(X7,cons(X6,nil)) = X4
& ssList(X7) )
& ssItem(X6) )
| ~ strictorderedP(X2)
| app(app(X4,X2),X5) != X3 ) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil = X1
| nil != X0 )
& ? [X4] :
( ? [X5] :
( strictorderedP(X0)
& ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssList(X7)
=> ( ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != X0 ) ) )
| app(cons(X6,nil),X7) != X5 ) ) )
& ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssList(X11)
=> ( ! [X12] :
( ssItem(X12)
=> ! [X13] :
( ssList(X13)
=> ( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != X0 ) ) )
| app(X11,cons(X10,nil)) != X4 ) ) )
& app(app(X4,X0),X5) = X1
& ssList(X5) )
& ssList(X4) ) )
| ( nil = X2
& nil != X3 )
| ! [X14] :
( ssList(X14)
=> ! [X15] :
( ssList(X15)
=> ( ? [X16] :
( ? [X17] :
( ? [X18] :
( ? [X19] :
( lt(X18,X16)
& app(X19,cons(X18,nil)) = X2
& ssList(X19) )
& ssItem(X18) )
& app(cons(X16,nil),X17) = X15
& ssList(X17) )
& ssItem(X16) )
| ? [X20] :
( ? [X21] :
( ? [X22] :
( ? [X23] :
( lt(X20,X22)
& app(cons(X22,nil),X23) = X2
& ssList(X23) )
& ssItem(X22) )
& app(X21,cons(X20,nil)) = X14
& ssList(X21) )
& ssItem(X20) )
| ~ strictorderedP(X2)
| app(app(X14,X2),X15) != X3 ) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = X0 )
| ! [X4] :
( ! [X5] :
( ~ strictorderedP(X0)
| ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( lt(X8,X6)
& app(X9,cons(X8,nil)) = X0
& ssList(X9) )
& ssItem(X8) )
& app(cons(X6,nil),X7) = X5
& ssList(X7) )
& ssItem(X6) )
| ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( lt(X10,X12)
& app(cons(X12,nil),X13) = X0
& ssList(X13) )
& ssItem(X12) )
& app(X11,cons(X10,nil)) = X4
& ssList(X11) )
& ssItem(X10) )
| app(app(X4,X0),X5) != X1
| ~ ssList(X5) )
| ~ ssList(X4) ) )
& ( nil != X2
| nil = X3 )
& ? [X14] :
( ? [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ~ lt(X18,X16)
| app(X19,cons(X18,nil)) != X2
| ~ ssList(X19) )
| ~ ssItem(X18) )
| app(cons(X16,nil),X17) != X15
| ~ ssList(X17) )
| ~ ssItem(X16) )
& ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ~ lt(X20,X22)
| app(cons(X22,nil),X23) != X2
| ~ ssList(X23) )
| ~ ssItem(X22) )
| app(X21,cons(X20,nil)) != X14
| ~ ssList(X21) )
| ~ ssItem(X20) )
& strictorderedP(X2)
& app(app(X14,X2),X15) = X3
& ssList(X15) )
& ssList(X14) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f223,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = X0 )
| ! [X4] :
( ! [X5] :
( ~ strictorderedP(X0)
| ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( lt(X8,X6)
& app(X9,cons(X8,nil)) = X0
& ssList(X9) )
& ssItem(X8) )
& app(cons(X6,nil),X7) = X5
& ssList(X7) )
& ssItem(X6) )
| ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( lt(X10,X12)
& app(cons(X12,nil),X13) = X0
& ssList(X13) )
& ssItem(X12) )
& app(X11,cons(X10,nil)) = X4
& ssList(X11) )
& ssItem(X10) )
| app(app(X4,X0),X5) != X1
| ~ ssList(X5) )
| ~ ssList(X4) ) )
& ( nil != X2
| nil = X3 )
& ? [X14] :
( ? [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ~ lt(X18,X16)
| app(X19,cons(X18,nil)) != X2
| ~ ssList(X19) )
| ~ ssItem(X18) )
| app(cons(X16,nil),X17) != X15
| ~ ssList(X17) )
| ~ ssItem(X16) )
& ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ~ lt(X20,X22)
| app(cons(X22,nil),X23) != X2
| ~ ssList(X23) )
| ~ ssItem(X22) )
| app(X21,cons(X20,nil)) != X14
| ~ ssList(X21) )
| ~ ssItem(X20) )
& strictorderedP(X2)
& app(app(X14,X2),X15) = X3
& ssList(X15) )
& ssList(X14) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f222]) ).
fof(f233,plain,
! [X0,X4] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( lt(X10,X12)
& app(cons(X12,nil),X13) = X0
& ssList(X13) )
& ssItem(X12) )
& app(X11,cons(X10,nil)) = X4
& ssList(X11) )
& ssItem(X10) )
| ~ sP6(X0,X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f234,plain,
! [X0,X1] :
( ! [X4] :
( ! [X5] :
( ~ strictorderedP(X0)
| ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( lt(X8,X6)
& app(X9,cons(X8,nil)) = X0
& ssList(X9) )
& ssItem(X8) )
& app(cons(X6,nil),X7) = X5
& ssList(X7) )
& ssItem(X6) )
| sP6(X0,X4)
| app(app(X4,X0),X5) != X1
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ sP7(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f235,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = X0 )
| sP7(X0,X1) )
& ( nil != X2
| nil = X3 )
& ? [X14] :
( ? [X15] :
( ! [X16] :
( ! [X17] :
( ! [X18] :
( ! [X19] :
( ~ lt(X18,X16)
| app(X19,cons(X18,nil)) != X2
| ~ ssList(X19) )
| ~ ssItem(X18) )
| app(cons(X16,nil),X17) != X15
| ~ ssList(X17) )
| ~ ssItem(X16) )
& ! [X20] :
( ! [X21] :
( ! [X22] :
( ! [X23] :
( ~ lt(X20,X22)
| app(cons(X22,nil),X23) != X2
| ~ ssList(X23) )
| ~ ssItem(X22) )
| app(X21,cons(X20,nil)) != X14
| ~ ssList(X21) )
| ~ ssItem(X20) )
& strictorderedP(X2)
& app(app(X14,X2),X15) = X3
& ssList(X15) )
& ssList(X14) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(definition_folding,[],[f223,f234,f233]) ).
fof(f347,plain,
! [X0,X1] :
( ! [X4] :
( ! [X5] :
( ~ strictorderedP(X0)
| ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( lt(X8,X6)
& app(X9,cons(X8,nil)) = X0
& ssList(X9) )
& ssItem(X8) )
& app(cons(X6,nil),X7) = X5
& ssList(X7) )
& ssItem(X6) )
| sP6(X0,X4)
| app(app(X4,X0),X5) != X1
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ sP7(X0,X1) ),
inference(nnf_transformation,[],[f234]) ).
fof(f348,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ~ strictorderedP(X0)
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( lt(X6,X4)
& app(X7,cons(X6,nil)) = X0
& ssList(X7) )
& ssItem(X6) )
& app(cons(X4,nil),X5) = X3
& ssList(X5) )
& ssItem(X4) )
| sP6(X0,X2)
| app(app(X2,X0),X3) != X1
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ sP7(X0,X1) ),
inference(rectify,[],[f347]) ).
fof(f349,plain,
! [X0,X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( lt(X6,X4)
& app(X7,cons(X6,nil)) = X0
& ssList(X7) )
& ssItem(X6) )
& app(cons(X4,nil),X5) = X3
& ssList(X5) )
& ssItem(X4) )
=> ( ? [X5] :
( ? [X6] :
( ? [X7] :
( lt(X6,sK55(X0,X3))
& app(X7,cons(X6,nil)) = X0
& ssList(X7) )
& ssItem(X6) )
& app(cons(sK55(X0,X3),nil),X5) = X3
& ssList(X5) )
& ssItem(sK55(X0,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f350,plain,
! [X0,X3] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( lt(X6,sK55(X0,X3))
& app(X7,cons(X6,nil)) = X0
& ssList(X7) )
& ssItem(X6) )
& app(cons(sK55(X0,X3),nil),X5) = X3
& ssList(X5) )
=> ( ? [X6] :
( ? [X7] :
( lt(X6,sK55(X0,X3))
& app(X7,cons(X6,nil)) = X0
& ssList(X7) )
& ssItem(X6) )
& app(cons(sK55(X0,X3),nil),sK56(X0,X3)) = X3
& ssList(sK56(X0,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
! [X0,X3] :
( ? [X6] :
( ? [X7] :
( lt(X6,sK55(X0,X3))
& app(X7,cons(X6,nil)) = X0
& ssList(X7) )
& ssItem(X6) )
=> ( ? [X7] :
( lt(sK57(X0,X3),sK55(X0,X3))
& app(X7,cons(sK57(X0,X3),nil)) = X0
& ssList(X7) )
& ssItem(sK57(X0,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f352,plain,
! [X0,X3] :
( ? [X7] :
( lt(sK57(X0,X3),sK55(X0,X3))
& app(X7,cons(sK57(X0,X3),nil)) = X0
& ssList(X7) )
=> ( lt(sK57(X0,X3),sK55(X0,X3))
& app(sK58(X0,X3),cons(sK57(X0,X3),nil)) = X0
& ssList(sK58(X0,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f353,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ~ strictorderedP(X0)
| ( lt(sK57(X0,X3),sK55(X0,X3))
& app(sK58(X0,X3),cons(sK57(X0,X3),nil)) = X0
& ssList(sK58(X0,X3))
& ssItem(sK57(X0,X3))
& app(cons(sK55(X0,X3),nil),sK56(X0,X3)) = X3
& ssList(sK56(X0,X3))
& ssItem(sK55(X0,X3)) )
| sP6(X0,X2)
| app(app(X2,X0),X3) != X1
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ sP7(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55,sK56,sK57,sK58])],[f348,f352,f351,f350,f349]) ).
fof(f354,plain,
! [X0,X4] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( lt(X10,X12)
& app(cons(X12,nil),X13) = X0
& ssList(X13) )
& ssItem(X12) )
& app(X11,cons(X10,nil)) = X4
& ssList(X11) )
& ssItem(X10) )
| ~ sP6(X0,X4) ),
inference(nnf_transformation,[],[f233]) ).
fof(f355,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( lt(X2,X4)
& app(cons(X4,nil),X5) = X0
& ssList(X5) )
& ssItem(X4) )
& app(X3,cons(X2,nil)) = X1
& ssList(X3) )
& ssItem(X2) )
| ~ sP6(X0,X1) ),
inference(rectify,[],[f354]) ).
fof(f356,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( lt(X2,X4)
& app(cons(X4,nil),X5) = X0
& ssList(X5) )
& ssItem(X4) )
& app(X3,cons(X2,nil)) = X1
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( lt(sK59(X0,X1),X4)
& app(cons(X4,nil),X5) = X0
& ssList(X5) )
& ssItem(X4) )
& app(X3,cons(sK59(X0,X1),nil)) = X1
& ssList(X3) )
& ssItem(sK59(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f357,plain,
! [X0,X1] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( lt(sK59(X0,X1),X4)
& app(cons(X4,nil),X5) = X0
& ssList(X5) )
& ssItem(X4) )
& app(X3,cons(sK59(X0,X1),nil)) = X1
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( lt(sK59(X0,X1),X4)
& app(cons(X4,nil),X5) = X0
& ssList(X5) )
& ssItem(X4) )
& app(sK60(X0,X1),cons(sK59(X0,X1),nil)) = X1
& ssList(sK60(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f358,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( lt(sK59(X0,X1),X4)
& app(cons(X4,nil),X5) = X0
& ssList(X5) )
& ssItem(X4) )
=> ( ? [X5] :
( lt(sK59(X0,X1),sK61(X0,X1))
& app(cons(sK61(X0,X1),nil),X5) = X0
& ssList(X5) )
& ssItem(sK61(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
! [X0,X1] :
( ? [X5] :
( lt(sK59(X0,X1),sK61(X0,X1))
& app(cons(sK61(X0,X1),nil),X5) = X0
& ssList(X5) )
=> ( lt(sK59(X0,X1),sK61(X0,X1))
& app(cons(sK61(X0,X1),nil),sK62(X0,X1)) = X0
& ssList(sK62(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f360,plain,
! [X0,X1] :
( ( lt(sK59(X0,X1),sK61(X0,X1))
& app(cons(sK61(X0,X1),nil),sK62(X0,X1)) = X0
& ssList(sK62(X0,X1))
& ssItem(sK61(X0,X1))
& app(sK60(X0,X1),cons(sK59(X0,X1),nil)) = X1
& ssList(sK60(X0,X1))
& ssItem(sK59(X0,X1)) )
| ~ sP6(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK59,sK60,sK61,sK62])],[f355,f359,f358,f357,f356]) ).
fof(f361,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = X0 )
| sP7(X0,X1) )
& ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != X2
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != X4
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(X2)
& app(app(X4,X2),X5) = X3
& ssList(X5) )
& ssList(X4) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(rectify,[],[f235]) ).
fof(f362,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = X0 )
| sP7(X0,X1) )
& ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != X2
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != X4
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(X2)
& app(app(X4,X2),X5) = X3
& ssList(X5) )
& ssList(X4) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = sK63 )
| sP7(sK63,X1) )
& ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != X2
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != X4
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(X2)
& app(app(X4,X2),X5) = X3
& ssList(X5) )
& ssList(X4) )
& sK63 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK63) ) ),
introduced(choice_axiom,[]) ).
fof(f363,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X1
& nil = sK63 )
| sP7(sK63,X1) )
& ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != X2
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != X4
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(X2)
& app(app(X4,X2),X5) = X3
& ssList(X5) )
& ssList(X4) )
& sK63 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( nil != sK64
& nil = sK63 )
| sP7(sK63,sK64) )
& ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != X2
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != X4
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(X2)
& app(app(X4,X2),X5) = X3
& ssList(X5) )
& ssList(X4) )
& sK63 = X2
& sK64 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK64) ) ),
introduced(choice_axiom,[]) ).
fof(f364,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil != sK64
& nil = sK63 )
| sP7(sK63,sK64) )
& ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != X2
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != X4
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(X2)
& app(app(X4,X2),X5) = X3
& ssList(X5) )
& ssList(X4) )
& sK63 = X2
& sK64 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil != sK64
& nil = sK63 )
| sP7(sK63,sK64) )
& ( nil != sK65
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != sK65
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != sK65
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != X4
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK65)
& app(app(X4,sK65),X5) = X3
& ssList(X5) )
& ssList(X4) )
& sK63 = sK65
& sK64 = X3
& ssList(X3) )
& ssList(sK65) ) ),
introduced(choice_axiom,[]) ).
fof(f365,plain,
( ? [X3] :
( ( ( nil != sK64
& nil = sK63 )
| sP7(sK63,sK64) )
& ( nil != sK65
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != sK65
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != sK65
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != X4
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK65)
& app(app(X4,sK65),X5) = X3
& ssList(X5) )
& ssList(X4) )
& sK63 = sK65
& sK64 = X3
& ssList(X3) )
=> ( ( ( nil != sK64
& nil = sK63 )
| sP7(sK63,sK64) )
& ( nil != sK65
| nil = sK66 )
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != sK65
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != sK65
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != X4
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK65)
& app(app(X4,sK65),X5) = sK66
& ssList(X5) )
& ssList(X4) )
& sK63 = sK65
& sK64 = sK66
& ssList(sK66) ) ),
introduced(choice_axiom,[]) ).
fof(f366,plain,
( ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != sK65
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != sK65
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != X4
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK65)
& app(app(X4,sK65),X5) = sK66
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != sK65
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != sK65
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != sK67
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK65)
& sK66 = app(app(sK67,sK65),X5)
& ssList(X5) )
& ssList(sK67) ) ),
introduced(choice_axiom,[]) ).
fof(f367,plain,
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != sK65
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != X5
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != sK65
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != sK67
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK65)
& sK66 = app(app(sK67,sK65),X5)
& ssList(X5) )
=> ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != sK65
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != sK68
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != sK65
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != sK67
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK65)
& sK66 = app(app(sK67,sK65),sK68)
& ssList(sK68) ) ),
introduced(choice_axiom,[]) ).
fof(f368,plain,
( ( ( nil != sK64
& nil = sK63 )
| sP7(sK63,sK64) )
& ( nil != sK65
| nil = sK66 )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != sK65
| ~ ssList(X9) )
| ~ ssItem(X8) )
| app(cons(X6,nil),X7) != sK68
| ~ ssList(X7) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != sK65
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(X11,cons(X10,nil)) != sK67
| ~ ssList(X11) )
| ~ ssItem(X10) )
& strictorderedP(sK65)
& sK66 = app(app(sK67,sK65),sK68)
& ssList(sK68)
& ssList(sK67)
& sK63 = sK65
& sK64 = sK66
& ssList(sK66)
& ssList(sK65)
& ssList(sK64)
& ssList(sK63) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63,sK64,sK65,sK66,sK67,sK68])],[f361,f367,f366,f365,f364,f363,f362]) ).
fof(f568,plain,
! [X2,X3,X0,X1] :
( ~ strictorderedP(X0)
| ssItem(sK55(X0,X3))
| sP6(X0,X2)
| app(app(X2,X0),X3) != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f353]) ).
fof(f569,plain,
! [X2,X3,X0,X1] :
( ~ strictorderedP(X0)
| ssList(sK56(X0,X3))
| sP6(X0,X2)
| app(app(X2,X0),X3) != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f353]) ).
fof(f570,plain,
! [X2,X3,X0,X1] :
( ~ strictorderedP(X0)
| app(cons(sK55(X0,X3),nil),sK56(X0,X3)) = X3
| sP6(X0,X2)
| app(app(X2,X0),X3) != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f353]) ).
fof(f571,plain,
! [X2,X3,X0,X1] :
( ~ strictorderedP(X0)
| ssItem(sK57(X0,X3))
| sP6(X0,X2)
| app(app(X2,X0),X3) != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f353]) ).
fof(f572,plain,
! [X2,X3,X0,X1] :
( ~ strictorderedP(X0)
| ssList(sK58(X0,X3))
| sP6(X0,X2)
| app(app(X2,X0),X3) != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f353]) ).
fof(f573,plain,
! [X2,X3,X0,X1] :
( ~ strictorderedP(X0)
| app(sK58(X0,X3),cons(sK57(X0,X3),nil)) = X0
| sP6(X0,X2)
| app(app(X2,X0),X3) != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f353]) ).
fof(f574,plain,
! [X2,X3,X0,X1] :
( ~ strictorderedP(X0)
| lt(sK57(X0,X3),sK55(X0,X3))
| sP6(X0,X2)
| app(app(X2,X0),X3) != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f353]) ).
fof(f575,plain,
! [X0,X1] :
( ssItem(sK59(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f360]) ).
fof(f576,plain,
! [X0,X1] :
( ssList(sK60(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f360]) ).
fof(f577,plain,
! [X0,X1] :
( app(sK60(X0,X1),cons(sK59(X0,X1),nil)) = X1
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f360]) ).
fof(f578,plain,
! [X0,X1] :
( ssItem(sK61(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f360]) ).
fof(f579,plain,
! [X0,X1] :
( ssList(sK62(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f360]) ).
fof(f580,plain,
! [X0,X1] :
( app(cons(sK61(X0,X1),nil),sK62(X0,X1)) = X0
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f360]) ).
fof(f581,plain,
! [X0,X1] :
( lt(sK59(X0,X1),sK61(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f360]) ).
fof(f586,plain,
sK64 = sK66,
inference(cnf_transformation,[],[f368]) ).
fof(f587,plain,
sK63 = sK65,
inference(cnf_transformation,[],[f368]) ).
fof(f588,plain,
ssList(sK67),
inference(cnf_transformation,[],[f368]) ).
fof(f589,plain,
ssList(sK68),
inference(cnf_transformation,[],[f368]) ).
fof(f590,plain,
sK66 = app(app(sK67,sK65),sK68),
inference(cnf_transformation,[],[f368]) ).
fof(f591,plain,
strictorderedP(sK65),
inference(cnf_transformation,[],[f368]) ).
fof(f592,plain,
! [X10,X11,X12,X13] :
( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != sK65
| ~ ssList(X13)
| ~ ssItem(X12)
| app(X11,cons(X10,nil)) != sK67
| ~ ssList(X11)
| ~ ssItem(X10) ),
inference(cnf_transformation,[],[f368]) ).
fof(f593,plain,
! [X8,X6,X9,X7] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != sK65
| ~ ssList(X9)
| ~ ssItem(X8)
| app(cons(X6,nil),X7) != sK68
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(cnf_transformation,[],[f368]) ).
fof(f594,plain,
( nil != sK65
| nil = sK66 ),
inference(cnf_transformation,[],[f368]) ).
fof(f595,plain,
( nil = sK63
| sP7(sK63,sK64) ),
inference(cnf_transformation,[],[f368]) ).
fof(f596,plain,
( nil != sK64
| sP7(sK63,sK64) ),
inference(cnf_transformation,[],[f368]) ).
fof(f597,plain,
( nil != sK66
| sP7(sK65,sK66) ),
inference(definition_unfolding,[],[f596,f586,f587,f586]) ).
fof(f598,plain,
( nil = sK65
| sP7(sK65,sK66) ),
inference(definition_unfolding,[],[f595,f587,f587,f586]) ).
fof(f628,plain,
! [X2,X3,X0] :
( ~ strictorderedP(X0)
| lt(sK57(X0,X3),sK55(X0,X3))
| sP6(X0,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ sP7(X0,app(app(X2,X0),X3)) ),
inference(equality_resolution,[],[f574]) ).
fof(f629,plain,
! [X2,X3,X0] :
( ~ strictorderedP(X0)
| app(sK58(X0,X3),cons(sK57(X0,X3),nil)) = X0
| sP6(X0,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ sP7(X0,app(app(X2,X0),X3)) ),
inference(equality_resolution,[],[f573]) ).
fof(f630,plain,
! [X2,X3,X0] :
( ~ strictorderedP(X0)
| ssList(sK58(X0,X3))
| sP6(X0,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ sP7(X0,app(app(X2,X0),X3)) ),
inference(equality_resolution,[],[f572]) ).
fof(f631,plain,
! [X2,X3,X0] :
( ~ strictorderedP(X0)
| ssItem(sK57(X0,X3))
| sP6(X0,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ sP7(X0,app(app(X2,X0),X3)) ),
inference(equality_resolution,[],[f571]) ).
fof(f632,plain,
! [X2,X3,X0] :
( ~ strictorderedP(X0)
| app(cons(sK55(X0,X3),nil),sK56(X0,X3)) = X3
| sP6(X0,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ sP7(X0,app(app(X2,X0),X3)) ),
inference(equality_resolution,[],[f570]) ).
fof(f633,plain,
! [X2,X3,X0] :
( ~ strictorderedP(X0)
| ssList(sK56(X0,X3))
| sP6(X0,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ sP7(X0,app(app(X2,X0),X3)) ),
inference(equality_resolution,[],[f569]) ).
fof(f634,plain,
! [X2,X3,X0] :
( ~ strictorderedP(X0)
| ssItem(sK55(X0,X3))
| sP6(X0,X2)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ sP7(X0,app(app(X2,X0),X3)) ),
inference(equality_resolution,[],[f568]) ).
cnf(c_246,plain,
( ~ sP7(X0,app(app(X1,X0),X2))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ strictorderedP(X0)
| lt(sK57(X0,X2),sK55(X0,X2))
| sP6(X0,X1) ),
inference(cnf_transformation,[],[f628]) ).
cnf(c_247,plain,
( ~ sP7(X0,app(app(X1,X0),X2))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ strictorderedP(X0)
| app(sK58(X0,X2),cons(sK57(X0,X2),nil)) = X0
| sP6(X0,X1) ),
inference(cnf_transformation,[],[f629]) ).
cnf(c_248,plain,
( ~ sP7(X0,app(app(X1,X0),X2))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ strictorderedP(X0)
| ssList(sK58(X0,X2))
| sP6(X0,X1) ),
inference(cnf_transformation,[],[f630]) ).
cnf(c_249,plain,
( ~ sP7(X0,app(app(X1,X0),X2))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ strictorderedP(X0)
| ssItem(sK57(X0,X2))
| sP6(X0,X1) ),
inference(cnf_transformation,[],[f631]) ).
cnf(c_250,plain,
( ~ sP7(X0,app(app(X1,X0),X2))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ strictorderedP(X0)
| app(cons(sK55(X0,X2),nil),sK56(X0,X2)) = X2
| sP6(X0,X1) ),
inference(cnf_transformation,[],[f632]) ).
cnf(c_251,plain,
( ~ sP7(X0,app(app(X1,X0),X2))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ strictorderedP(X0)
| ssList(sK56(X0,X2))
| sP6(X0,X1) ),
inference(cnf_transformation,[],[f633]) ).
cnf(c_252,plain,
( ~ sP7(X0,app(app(X1,X0),X2))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ strictorderedP(X0)
| ssItem(sK55(X0,X2))
| sP6(X0,X1) ),
inference(cnf_transformation,[],[f634]) ).
cnf(c_253,plain,
( ~ sP6(X0,X1)
| lt(sK59(X0,X1),sK61(X0,X1)) ),
inference(cnf_transformation,[],[f581]) ).
cnf(c_254,plain,
( ~ sP6(X0,X1)
| app(cons(sK61(X0,X1),nil),sK62(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f580]) ).
cnf(c_255,plain,
( ~ sP6(X0,X1)
| ssList(sK62(X0,X1)) ),
inference(cnf_transformation,[],[f579]) ).
cnf(c_256,plain,
( ~ sP6(X0,X1)
| ssItem(sK61(X0,X1)) ),
inference(cnf_transformation,[],[f578]) ).
cnf(c_257,plain,
( ~ sP6(X0,X1)
| app(sK60(X0,X1),cons(sK59(X0,X1),nil)) = X1 ),
inference(cnf_transformation,[],[f577]) ).
cnf(c_258,plain,
( ~ sP6(X0,X1)
| ssList(sK60(X0,X1)) ),
inference(cnf_transformation,[],[f576]) ).
cnf(c_259,plain,
( ~ sP6(X0,X1)
| ssItem(sK59(X0,X1)) ),
inference(cnf_transformation,[],[f575]) ).
cnf(c_260,negated_conjecture,
( nil != sK66
| sP7(sK65,sK66) ),
inference(cnf_transformation,[],[f597]) ).
cnf(c_261,negated_conjecture,
( nil = sK65
| sP7(sK65,sK66) ),
inference(cnf_transformation,[],[f598]) ).
cnf(c_262,negated_conjecture,
( nil != sK65
| nil = sK66 ),
inference(cnf_transformation,[],[f594]) ).
cnf(c_263,negated_conjecture,
( app(cons(X0,nil),X1) != sK68
| app(X2,cons(X3,nil)) != sK65
| ~ lt(X3,X0)
| ~ ssItem(X0)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(cnf_transformation,[],[f593]) ).
cnf(c_264,negated_conjecture,
( app(cons(X0,nil),X1) != sK65
| app(X2,cons(X3,nil)) != sK67
| ~ lt(X3,X0)
| ~ ssItem(X0)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(cnf_transformation,[],[f592]) ).
cnf(c_265,negated_conjecture,
strictorderedP(sK65),
inference(cnf_transformation,[],[f591]) ).
cnf(c_266,negated_conjecture,
app(app(sK67,sK65),sK68) = sK66,
inference(cnf_transformation,[],[f590]) ).
cnf(c_267,negated_conjecture,
ssList(sK68),
inference(cnf_transformation,[],[f589]) ).
cnf(c_268,negated_conjecture,
ssList(sK67),
inference(cnf_transformation,[],[f588]) ).
cnf(c_399,negated_conjecture,
sP7(sK65,sK66),
inference(global_subsumption_just,[status(thm)],[c_261,c_261,c_260,c_262]) ).
cnf(c_401,negated_conjecture,
sP7(sK65,sK66),
inference(global_subsumption_just,[status(thm)],[c_260,c_399]) ).
cnf(c_2116,plain,
( app(app(X0,X1),X2) != sK66
| X1 != sK65
| ~ ssList(X0)
| ~ ssList(X2)
| ~ strictorderedP(X1)
| ssItem(sK55(X1,X2))
| sP6(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_252,c_401]) ).
cnf(c_2117,plain,
( app(app(X0,sK65),X1) != sK66
| ~ ssList(X0)
| ~ ssList(X1)
| ~ strictorderedP(sK65)
| ssItem(sK55(sK65,X1))
| sP6(sK65,X0) ),
inference(unflattening,[status(thm)],[c_2116]) ).
cnf(c_2119,plain,
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(X0,sK65),X1) != sK66
| ssItem(sK55(sK65,X1))
| sP6(sK65,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2117,c_265,c_2117]) ).
cnf(c_2120,plain,
( app(app(X0,sK65),X1) != sK66
| ~ ssList(X0)
| ~ ssList(X1)
| ssItem(sK55(sK65,X1))
| sP6(sK65,X0) ),
inference(renaming,[status(thm)],[c_2119]) ).
cnf(c_2137,plain,
( app(app(X0,X1),X2) != sK66
| X1 != sK65
| ~ ssList(X0)
| ~ ssList(X2)
| ~ strictorderedP(X1)
| ssList(sK56(X1,X2))
| sP6(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_251,c_401]) ).
cnf(c_2138,plain,
( app(app(X0,sK65),X1) != sK66
| ~ ssList(X0)
| ~ ssList(X1)
| ~ strictorderedP(sK65)
| ssList(sK56(sK65,X1))
| sP6(sK65,X0) ),
inference(unflattening,[status(thm)],[c_2137]) ).
cnf(c_2140,plain,
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(X0,sK65),X1) != sK66
| ssList(sK56(sK65,X1))
| sP6(sK65,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2138,c_265,c_2138]) ).
cnf(c_2141,plain,
( app(app(X0,sK65),X1) != sK66
| ~ ssList(X0)
| ~ ssList(X1)
| ssList(sK56(sK65,X1))
| sP6(sK65,X0) ),
inference(renaming,[status(thm)],[c_2140]) ).
cnf(c_2158,plain,
( app(app(X0,X1),X2) != sK66
| X1 != sK65
| ~ ssList(X0)
| ~ ssList(X2)
| ~ strictorderedP(X1)
| app(cons(sK55(X1,X2),nil),sK56(X1,X2)) = X2
| sP6(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_250,c_401]) ).
cnf(c_2159,plain,
( app(app(X0,sK65),X1) != sK66
| ~ ssList(X0)
| ~ ssList(X1)
| ~ strictorderedP(sK65)
| app(cons(sK55(sK65,X1),nil),sK56(sK65,X1)) = X1
| sP6(sK65,X0) ),
inference(unflattening,[status(thm)],[c_2158]) ).
cnf(c_2161,plain,
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(X0,sK65),X1) != sK66
| app(cons(sK55(sK65,X1),nil),sK56(sK65,X1)) = X1
| sP6(sK65,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2159,c_265,c_2159]) ).
cnf(c_2162,plain,
( app(app(X0,sK65),X1) != sK66
| ~ ssList(X0)
| ~ ssList(X1)
| app(cons(sK55(sK65,X1),nil),sK56(sK65,X1)) = X1
| sP6(sK65,X0) ),
inference(renaming,[status(thm)],[c_2161]) ).
cnf(c_2179,plain,
( app(app(X0,X1),X2) != sK66
| X1 != sK65
| ~ ssList(X0)
| ~ ssList(X2)
| ~ strictorderedP(X1)
| ssItem(sK57(X1,X2))
| sP6(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_249,c_401]) ).
cnf(c_2180,plain,
( app(app(X0,sK65),X1) != sK66
| ~ ssList(X0)
| ~ ssList(X1)
| ~ strictorderedP(sK65)
| ssItem(sK57(sK65,X1))
| sP6(sK65,X0) ),
inference(unflattening,[status(thm)],[c_2179]) ).
cnf(c_2182,plain,
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(X0,sK65),X1) != sK66
| ssItem(sK57(sK65,X1))
| sP6(sK65,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2180,c_265,c_2180]) ).
cnf(c_2183,plain,
( app(app(X0,sK65),X1) != sK66
| ~ ssList(X0)
| ~ ssList(X1)
| ssItem(sK57(sK65,X1))
| sP6(sK65,X0) ),
inference(renaming,[status(thm)],[c_2182]) ).
cnf(c_2200,plain,
( app(app(X0,X1),X2) != sK66
| X1 != sK65
| ~ ssList(X0)
| ~ ssList(X2)
| ~ strictorderedP(X1)
| ssList(sK58(X1,X2))
| sP6(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_248,c_401]) ).
cnf(c_2201,plain,
( app(app(X0,sK65),X1) != sK66
| ~ ssList(X0)
| ~ ssList(X1)
| ~ strictorderedP(sK65)
| ssList(sK58(sK65,X1))
| sP6(sK65,X0) ),
inference(unflattening,[status(thm)],[c_2200]) ).
cnf(c_2203,plain,
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(X0,sK65),X1) != sK66
| ssList(sK58(sK65,X1))
| sP6(sK65,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2201,c_265,c_2201]) ).
cnf(c_2204,plain,
( app(app(X0,sK65),X1) != sK66
| ~ ssList(X0)
| ~ ssList(X1)
| ssList(sK58(sK65,X1))
| sP6(sK65,X0) ),
inference(renaming,[status(thm)],[c_2203]) ).
cnf(c_2221,plain,
( app(app(X0,X1),X2) != sK66
| X1 != sK65
| ~ ssList(X0)
| ~ ssList(X2)
| ~ strictorderedP(X1)
| app(sK58(X1,X2),cons(sK57(X1,X2),nil)) = X1
| sP6(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_247,c_401]) ).
cnf(c_2222,plain,
( app(app(X0,sK65),X1) != sK66
| ~ ssList(X0)
| ~ ssList(X1)
| ~ strictorderedP(sK65)
| app(sK58(sK65,X1),cons(sK57(sK65,X1),nil)) = sK65
| sP6(sK65,X0) ),
inference(unflattening,[status(thm)],[c_2221]) ).
cnf(c_2224,plain,
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(X0,sK65),X1) != sK66
| app(sK58(sK65,X1),cons(sK57(sK65,X1),nil)) = sK65
| sP6(sK65,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2222,c_265,c_2222]) ).
cnf(c_2225,plain,
( app(app(X0,sK65),X1) != sK66
| ~ ssList(X0)
| ~ ssList(X1)
| app(sK58(sK65,X1),cons(sK57(sK65,X1),nil)) = sK65
| sP6(sK65,X0) ),
inference(renaming,[status(thm)],[c_2224]) ).
cnf(c_2242,plain,
( app(app(X0,X1),X2) != sK66
| X1 != sK65
| ~ ssList(X0)
| ~ ssList(X2)
| ~ strictorderedP(X1)
| lt(sK57(X1,X2),sK55(X1,X2))
| sP6(X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_246,c_401]) ).
cnf(c_2243,plain,
( app(app(X0,sK65),X1) != sK66
| ~ ssList(X0)
| ~ ssList(X1)
| ~ strictorderedP(sK65)
| lt(sK57(sK65,X1),sK55(sK65,X1))
| sP6(sK65,X0) ),
inference(unflattening,[status(thm)],[c_2242]) ).
cnf(c_2245,plain,
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(X0,sK65),X1) != sK66
| lt(sK57(sK65,X1),sK55(sK65,X1))
| sP6(sK65,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2243,c_265,c_2243]) ).
cnf(c_2246,plain,
( app(app(X0,sK65),X1) != sK66
| ~ ssList(X0)
| ~ ssList(X1)
| lt(sK57(sK65,X1),sK55(sK65,X1))
| sP6(sK65,X0) ),
inference(renaming,[status(thm)],[c_2245]) ).
cnf(c_9019,plain,
( app(app(X0_13,sK65),X1_13) != sK66
| ~ ssList(X0_13)
| ~ ssList(X1_13)
| lt(sK57(sK65,X1_13),sK55(sK65,X1_13))
| sP6(sK65,X0_13) ),
inference(subtyping,[status(esa)],[c_2246]) ).
cnf(c_9020,plain,
( app(app(X0_13,sK65),X1_13) != sK66
| ~ ssList(X0_13)
| ~ ssList(X1_13)
| app(sK58(sK65,X1_13),cons(sK57(sK65,X1_13),nil)) = sK65
| sP6(sK65,X0_13) ),
inference(subtyping,[status(esa)],[c_2225]) ).
cnf(c_9021,plain,
( app(app(X0_13,sK65),X1_13) != sK66
| ~ ssList(X0_13)
| ~ ssList(X1_13)
| ssList(sK58(sK65,X1_13))
| sP6(sK65,X0_13) ),
inference(subtyping,[status(esa)],[c_2204]) ).
cnf(c_9022,plain,
( app(app(X0_13,sK65),X1_13) != sK66
| ~ ssList(X0_13)
| ~ ssList(X1_13)
| ssItem(sK57(sK65,X1_13))
| sP6(sK65,X0_13) ),
inference(subtyping,[status(esa)],[c_2183]) ).
cnf(c_9023,plain,
( app(app(X0_13,sK65),X1_13) != sK66
| ~ ssList(X0_13)
| ~ ssList(X1_13)
| app(cons(sK55(sK65,X1_13),nil),sK56(sK65,X1_13)) = X1_13
| sP6(sK65,X0_13) ),
inference(subtyping,[status(esa)],[c_2162]) ).
cnf(c_9024,plain,
( app(app(X0_13,sK65),X1_13) != sK66
| ~ ssList(X0_13)
| ~ ssList(X1_13)
| ssList(sK56(sK65,X1_13))
| sP6(sK65,X0_13) ),
inference(subtyping,[status(esa)],[c_2141]) ).
cnf(c_9025,plain,
( app(app(X0_13,sK65),X1_13) != sK66
| ~ ssList(X0_13)
| ~ ssList(X1_13)
| ssItem(sK55(sK65,X1_13))
| sP6(sK65,X0_13) ),
inference(subtyping,[status(esa)],[c_2120]) ).
cnf(c_9042,negated_conjecture,
app(app(sK67,sK65),sK68) = sK66,
inference(subtyping,[status(esa)],[c_266]) ).
cnf(c_9044,negated_conjecture,
( app(cons(X0_14,nil),X0_13) != sK65
| app(X1_13,cons(X1_14,nil)) != sK67
| ~ lt(X1_14,X0_14)
| ~ ssItem(X0_14)
| ~ ssItem(X1_14)
| ~ ssList(X0_13)
| ~ ssList(X1_13) ),
inference(subtyping,[status(esa)],[c_264]) ).
cnf(c_9045,negated_conjecture,
( app(cons(X0_14,nil),X0_13) != sK68
| app(X1_13,cons(X1_14,nil)) != sK65
| ~ lt(X1_14,X0_14)
| ~ ssItem(X0_14)
| ~ ssItem(X1_14)
| ~ ssList(X0_13)
| ~ ssList(X1_13) ),
inference(subtyping,[status(esa)],[c_263]) ).
cnf(c_9047,plain,
( ~ sP6(X0_13,X1_13)
| ssItem(sK59(X0_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_259]) ).
cnf(c_9048,plain,
( ~ sP6(X0_13,X1_13)
| ssList(sK60(X0_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_258]) ).
cnf(c_9049,plain,
( ~ sP6(X0_13,X1_13)
| app(sK60(X0_13,X1_13),cons(sK59(X0_13,X1_13),nil)) = X1_13 ),
inference(subtyping,[status(esa)],[c_257]) ).
cnf(c_9050,plain,
( ~ sP6(X0_13,X1_13)
| ssItem(sK61(X0_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_256]) ).
cnf(c_9051,plain,
( ~ sP6(X0_13,X1_13)
| ssList(sK62(X0_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_255]) ).
cnf(c_9052,plain,
( ~ sP6(X0_13,X1_13)
| app(cons(sK61(X0_13,X1_13),nil),sK62(X0_13,X1_13)) = X0_13 ),
inference(subtyping,[status(esa)],[c_254]) ).
cnf(c_9053,plain,
( ~ sP6(X0_13,X1_13)
| lt(sK59(X0_13,X1_13),sK61(X0_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_253]) ).
cnf(c_9231,plain,
( X0_13 != X1_13
| ~ ssList(X1_13)
| ssList(X0_13) ),
theory(equality) ).
cnf(c_12450,plain,
( app(cons(sK61(X0_13,X1_13),nil),X2_13) != sK65
| app(X3_13,cons(sK59(X0_13,X1_13),nil)) != sK67
| ~ lt(sK59(X0_13,X1_13),sK61(X0_13,X1_13))
| ~ ssItem(sK59(X0_13,X1_13))
| ~ ssItem(sK61(X0_13,X1_13))
| ~ ssList(X2_13)
| ~ ssList(X3_13) ),
inference(instantiation,[status(thm)],[c_9044]) ).
cnf(c_13460,plain,
( ~ sP6(sK65,sK67)
| ssItem(sK61(sK65,sK67)) ),
inference(instantiation,[status(thm)],[c_9050]) ).
cnf(c_14389,plain,
( ~ ssList(sK68)
| ~ ssList(sK67)
| ssList(sK58(sK65,sK68))
| sP6(sK65,sK67) ),
inference(superposition,[status(thm)],[c_9042,c_9021]) ).
cnf(c_14407,plain,
( ssList(sK58(sK65,sK68))
| sP6(sK65,sK67) ),
inference(global_subsumption_just,[status(thm)],[c_14389,c_268,c_267,c_14389]) ).
cnf(c_14409,plain,
( ~ ssList(sK68)
| ~ ssList(sK67)
| ssItem(sK57(sK65,sK68))
| sP6(sK65,sK67) ),
inference(superposition,[status(thm)],[c_9042,c_9022]) ).
cnf(c_14410,plain,
( ssItem(sK57(sK65,sK68))
| sP6(sK65,sK67) ),
inference(global_subsumption_just,[status(thm)],[c_14409,c_268,c_267,c_14409]) ).
cnf(c_14429,plain,
( ~ ssList(sK68)
| ~ ssList(sK67)
| ssList(sK56(sK65,sK68))
| sP6(sK65,sK67) ),
inference(superposition,[status(thm)],[c_9042,c_9024]) ).
cnf(c_14430,plain,
( ssList(sK56(sK65,sK68))
| sP6(sK65,sK67) ),
inference(global_subsumption_just,[status(thm)],[c_14429,c_268,c_267,c_14429]) ).
cnf(c_14437,plain,
( ~ ssList(sK68)
| ~ ssList(sK67)
| ssItem(sK55(sK65,sK68))
| sP6(sK65,sK67) ),
inference(superposition,[status(thm)],[c_9042,c_9025]) ).
cnf(c_14457,plain,
( ssItem(sK55(sK65,sK68))
| sP6(sK65,sK67) ),
inference(global_subsumption_just,[status(thm)],[c_14437,c_268,c_267,c_14437]) ).
cnf(c_14459,plain,
( ~ ssList(sK68)
| ~ ssList(sK67)
| lt(sK57(sK65,sK68),sK55(sK65,sK68))
| sP6(sK65,sK67) ),
inference(superposition,[status(thm)],[c_9042,c_9019]) ).
cnf(c_14460,plain,
( lt(sK57(sK65,sK68),sK55(sK65,sK68))
| sP6(sK65,sK67) ),
inference(global_subsumption_just,[status(thm)],[c_14459,c_268,c_267,c_14459]) ).
cnf(c_14481,plain,
( ~ ssList(sK68)
| ~ ssList(sK67)
| app(sK58(sK65,sK68),cons(sK57(sK65,sK68),nil)) = sK65
| sP6(sK65,sK67) ),
inference(superposition,[status(thm)],[c_9042,c_9020]) ).
cnf(c_14482,plain,
( app(sK58(sK65,sK68),cons(sK57(sK65,sK68),nil)) = sK65
| sP6(sK65,sK67) ),
inference(global_subsumption_just,[status(thm)],[c_14481,c_268,c_267,c_14481]) ).
cnf(c_14484,plain,
( ~ ssList(sK68)
| ~ ssList(sK67)
| app(cons(sK55(sK65,sK68),nil),sK56(sK65,sK68)) = sK68
| sP6(sK65,sK67) ),
inference(superposition,[status(thm)],[c_9042,c_9023]) ).
cnf(c_14504,plain,
( app(cons(sK55(sK65,sK68),nil),sK56(sK65,sK68)) = sK68
| sP6(sK65,sK67) ),
inference(global_subsumption_just,[status(thm)],[c_14484,c_268,c_267,c_14484]) ).
cnf(c_15817,plain,
( app(cons(sK61(sK65,sK67),nil),X0_13) != sK65
| app(X1_13,cons(sK59(sK65,sK67),nil)) != sK67
| ~ lt(sK59(sK65,sK67),sK61(sK65,sK67))
| ~ ssItem(sK59(sK65,sK67))
| ~ ssItem(sK61(sK65,sK67))
| ~ ssList(X0_13)
| ~ ssList(X1_13) ),
inference(instantiation,[status(thm)],[c_12450]) ).
cnf(c_17648,plain,
( ~ ssList(sK68)
| ~ ssList(sK67)
| app(sK58(sK65,sK68),cons(sK57(sK65,sK68),nil)) = sK65
| sP6(sK65,sK67) ),
inference(resolution,[status(thm)],[c_9020,c_9042]) ).
cnf(c_17649,plain,
( app(sK58(sK65,sK68),cons(sK57(sK65,sK68),nil)) = sK65
| sP6(sK65,sK67) ),
inference(global_subsumption_just,[status(thm)],[c_17648,c_14482]) ).
cnf(c_17659,plain,
( app(cons(X0_14,nil),X0_13) != sK68
| ~ lt(sK57(sK65,sK68),X0_14)
| ~ ssItem(sK57(sK65,sK68))
| ~ ssList(sK58(sK65,sK68))
| ~ ssItem(X0_14)
| ~ ssList(X0_13)
| sP6(sK65,sK67) ),
inference(resolution,[status(thm)],[c_17649,c_9045]) ).
cnf(c_17661,plain,
( ~ ssList(sK65)
| ssList(app(sK58(sK65,sK68),cons(sK57(sK65,sK68),nil)))
| sP6(sK65,sK67) ),
inference(resolution,[status(thm)],[c_17649,c_9231]) ).
cnf(c_17697,plain,
( ~ ssList(sK68)
| ~ ssList(sK67)
| app(cons(sK55(sK65,sK68),nil),sK56(sK65,sK68)) = sK68
| sP6(sK65,sK67) ),
inference(resolution,[status(thm)],[c_9023,c_9042]) ).
cnf(c_17698,plain,
( app(cons(sK55(sK65,sK68),nil),sK56(sK65,sK68)) = sK68
| sP6(sK65,sK67) ),
inference(global_subsumption_just,[status(thm)],[c_17697,c_14504]) ).
cnf(c_17744,plain,
( app(cons(X0_14,nil),X0_13) != sK68
| ~ lt(sK57(sK65,sK68),X0_14)
| ~ ssItem(X0_14)
| ~ ssList(X0_13)
| sP6(sK65,sK67) ),
inference(global_subsumption_just,[status(thm)],[c_17659,c_14407,c_14410,c_17659]) ).
cnf(c_17780,plain,
( ~ lt(sK57(sK65,sK68),sK55(sK65,sK68))
| ~ ssItem(sK55(sK65,sK68))
| ~ ssList(sK56(sK65,sK68))
| sP6(sK65,sK67) ),
inference(resolution,[status(thm)],[c_17744,c_17698]) ).
cnf(c_17781,plain,
sP6(sK65,sK67),
inference(global_subsumption_just,[status(thm)],[c_17661,c_14430,c_14457,c_14460,c_17780]) ).
cnf(c_21608,plain,
( ~ sP6(sK65,sK67)
| ssItem(sK59(sK65,sK67)) ),
inference(instantiation,[status(thm)],[c_9047]) ).
cnf(c_22007,plain,
( ~ sP6(sK65,sK67)
| lt(sK59(sK65,sK67),sK61(sK65,sK67)) ),
inference(instantiation,[status(thm)],[c_9053]) ).
cnf(c_23639,plain,
( ~ ssList(sK68)
| ~ ssList(sK67)
| ssList(sK58(sK65,sK68))
| sP6(sK65,sK67) ),
inference(superposition,[status(thm)],[c_9042,c_9021]) ).
cnf(c_23640,plain,
sP6(sK65,sK67),
inference(global_subsumption_just,[status(thm)],[c_23639,c_17781]) ).
cnf(c_26982,plain,
app(sK60(sK65,sK67),cons(sK59(sK65,sK67),nil)) = sK67,
inference(superposition,[status(thm)],[c_23640,c_9049]) ).
cnf(c_26983,plain,
app(cons(sK61(sK65,sK67),nil),sK62(sK65,sK67)) = sK65,
inference(superposition,[status(thm)],[c_23640,c_9052]) ).
cnf(c_30123,plain,
( app(cons(sK61(sK65,sK67),nil),sK62(sK65,sK67)) != sK65
| app(X0_13,cons(sK59(sK65,sK67),nil)) != sK67
| ~ lt(sK59(sK65,sK67),sK61(sK65,sK67))
| ~ ssItem(sK59(sK65,sK67))
| ~ ssItem(sK61(sK65,sK67))
| ~ ssList(sK62(sK65,sK67))
| ~ ssList(X0_13) ),
inference(instantiation,[status(thm)],[c_15817]) ).
cnf(c_34665,plain,
( ~ sP6(sK65,sK67)
| ssList(sK62(sK65,sK67)) ),
inference(instantiation,[status(thm)],[c_9051]) ).
cnf(c_40582,plain,
( app(cons(sK61(sK65,sK67),nil),sK62(sK65,sK67)) != sK65
| app(sK60(sK65,sK67),cons(sK59(sK65,sK67),nil)) != sK67
| ~ lt(sK59(sK65,sK67),sK61(sK65,sK67))
| ~ ssItem(sK59(sK65,sK67))
| ~ ssItem(sK61(sK65,sK67))
| ~ ssList(sK62(sK65,sK67))
| ~ ssList(sK60(sK65,sK67)) ),
inference(instantiation,[status(thm)],[c_30123]) ).
cnf(c_49060,plain,
( ~ sP6(sK65,sK67)
| ssList(sK60(sK65,sK67)) ),
inference(instantiation,[status(thm)],[c_9048]) ).
cnf(c_49061,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_49060,c_40582,c_34665,c_26983,c_26982,c_22007,c_21608,c_17781,c_13460]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC344+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n002.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 : Thu May 2 23:46:12 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 24.89/4.24 % SZS status Started for theBenchmark.p
% 24.89/4.24 % SZS status Theorem for theBenchmark.p
% 24.89/4.24
% 24.89/4.24 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 24.89/4.24
% 24.89/4.24 ------ iProver source info
% 24.89/4.24
% 24.89/4.24 git: date: 2024-05-02 19:28:25 +0000
% 24.89/4.24 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 24.89/4.24 git: non_committed_changes: false
% 24.89/4.24
% 24.89/4.24 ------ Parsing...
% 24.89/4.24 ------ Clausification by vclausify_rel & Parsing by iProver...
% 24.89/4.24
% 24.89/4.24 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e
% 24.89/4.24
% 24.89/4.24 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 24.89/4.24
% 24.89/4.24 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 24.89/4.24 ------ Proving...
% 24.89/4.24 ------ Problem Properties
% 24.89/4.24
% 24.89/4.24
% 24.89/4.24 clauses 203
% 24.89/4.24 conjectures 9
% 24.89/4.24 EPR 55
% 24.89/4.24 Horn 128
% 24.89/4.24 unary 22
% 24.89/4.24 binary 48
% 24.89/4.24 lits 689
% 24.89/4.24 lits eq 96
% 24.89/4.24 fd_pure 0
% 24.89/4.24 fd_pseudo 0
% 24.89/4.24 fd_cond 21
% 24.89/4.24 fd_pseudo_cond 14
% 24.89/4.24 AC symbols 0
% 24.89/4.24
% 24.89/4.24 ------ Input Options Time Limit: Unbounded
% 24.89/4.24
% 24.89/4.24
% 24.89/4.24 ------
% 24.89/4.24 Current options:
% 24.89/4.24 ------
% 24.89/4.24
% 24.89/4.24
% 24.89/4.24
% 24.89/4.24
% 24.89/4.24 ------ Proving...
% 24.89/4.24
% 24.89/4.24
% 24.89/4.24 % SZS status Theorem for theBenchmark.p
% 24.89/4.24
% 24.89/4.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.89/4.24
% 24.89/4.24
%------------------------------------------------------------------------------